%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : SYN436+1 : TPTP v8.1.0. Released v2.1.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n017.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 13:52:13 EDT 2022 % Result : Theorem 1.07s 1.28s % Output : Proof 1.41s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : SYN436+1 : TPTP v8.1.0. Released v2.1.0. % 0.03/0.12 % Command : run_zenon %s %d % 0.12/0.33 % Computer : n017.cluster.edu % 0.12/0.33 % Model : x86_64 x86_64 % 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.33 % Memory : 8042.1875MB % 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % WCLimit : 600 % 0.12/0.33 % DateTime : Tue Jul 12 06:03:34 EDT 2022 % 0.12/0.34 % CPUTime : % 1.07/1.28 (* PROOF-FOUND *) % 1.07/1.28 % SZS status Theorem % 1.07/1.28 (* BEGIN-PROOF *) % 1.07/1.28 % SZS output start Proof % 1.07/1.28 Theorem co1 : (~(((~(hskp0))\/((ndr1_0)/\((c3_1 (a1))/\((~(c0_1 (a1)))/\(~(c2_1 (a1)))))))/\(((~(hskp1))\/((ndr1_0)/\((c2_1 (a2))/\((~(c0_1 (a2)))/\(~(c3_1 (a2)))))))/\(((~(hskp2))\/((ndr1_0)/\((c1_1 (a4))/\((~(c2_1 (a4)))/\(~(c3_1 (a4)))))))/\(((~(hskp3))\/((ndr1_0)/\((~(c1_1 (a5)))/\((~(c2_1 (a5)))/\(~(c3_1 (a5)))))))/\(((~(hskp4))\/((ndr1_0)/\((c1_1 (a6))/\((c3_1 (a6))/\(~(c2_1 (a6)))))))/\(((~(hskp5))\/((ndr1_0)/\((c1_1 (a7))/\((c3_1 (a7))/\(~(c0_1 (a7)))))))/\(((~(hskp6))\/((ndr1_0)/\((c0_1 (a8))/\((c1_1 (a8))/\(~(c2_1 (a8)))))))/\(((~(hskp7))\/((ndr1_0)/\((c0_1 (a14))/\((c3_1 (a14))/\(~(c2_1 (a14)))))))/\(((~(hskp8))\/((ndr1_0)/\((c0_1 (a15))/\((~(c1_1 (a15)))/\(~(c2_1 (a15)))))))/\(((~(hskp9))\/((ndr1_0)/\((c0_1 (a16))/\((~(c2_1 (a16)))/\(~(c3_1 (a16)))))))/\(((~(hskp10))\/((ndr1_0)/\((c0_1 (a18))/\((c2_1 (a18))/\(~(c3_1 (a18)))))))/\(((~(hskp11))\/((ndr1_0)/\((c2_1 (a19))/\((~(c1_1 (a19)))/\(~(c3_1 (a19)))))))/\(((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a21)))/\((~(c1_1 (a21)))/\(~(c2_1 (a21)))))))/\(((~(hskp13))\/((ndr1_0)/\((~(c0_1 (a22)))/\((~(c2_1 (a22)))/\(~(c3_1 (a22)))))))/\(((~(hskp14))\/((ndr1_0)/\((c2_1 (a24))/\((~(c0_1 (a24)))/\(~(c1_1 (a24)))))))/\(((~(hskp15))\/((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(~(c3_1 (a25)))))))/\(((~(hskp16))\/((ndr1_0)/\((c1_1 (a30))/\((~(c0_1 (a30)))/\(~(c2_1 (a30)))))))/\(((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31)))))))/\(((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32)))))))/\(((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33)))))))/\(((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37)))))))/\(((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42)))))))/\(((~(hskp22))\/((ndr1_0)/\((c0_1 (a45))/\((~(c1_1 (a45)))/\(~(c3_1 (a45)))))))/\(((~(hskp23))\/((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53)))))))/\(((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3))))))/\(((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9))))))/\(((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10))))))/\(((~(hskp27))\/((ndr1_0)/\((c0_1 (a11))/\((c1_1 (a11))/\(c3_1 (a11))))))/\(((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c3_1 W))))))))/\(((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(hskp0)))/\(((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1)))))))/\(((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1)))/\(((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp24)))/\(((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))))/\(((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))))/\(((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp2)\/(hskp3)))/\(((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4)))/\(((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(c3_1 X17)))))))/\(((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))))/\(((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp5)))/\(((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c3_1 W))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(hskp6)))/\(((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))))/\(((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26)))/\(((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp27)\/(hskp26)))/\(((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp27)\/(hskp7)))/\(((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp8)\/(hskp9)))/\(((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4)))/\(((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10)))/\(((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11)))/\(((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp27)\/(hskp12)))/\(((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/(hskp13)))/\(((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((hskp2)\/(hskp14)))/\(((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15)))/\(((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))/\(((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((hskp6)\/(hskp26)))/\(((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(hskp7))/\(((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))))/\(((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((hskp26)\/(hskp16)))/\(((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18)))/\(((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19)))/\(((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((hskp9)\/(hskp24)))/\(((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20)))/\(((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp6)\/(hskp10)))/\(((hskp25)\/((hskp17)\/(hskp21)))/\(((hskp6)\/((hskp26)\/(hskp22)))/\(((hskp17)\/((hskp8)\/(hskp4)))/\(((hskp7)\/((hskp9)\/(hskp13)))/\((hskp24)\/((hskp23)\/(hskp0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))). % 1.07/1.28 Proof. % 1.07/1.28 assert (zenon_L1_ : (~(hskp7)) -> (hskp7) -> False). % 1.07/1.28 do 0 intro. intros zenon_H1 zenon_H2. % 1.07/1.28 exact (zenon_H1 zenon_H2). % 1.07/1.28 (* end of lemma zenon_L1_ *) % 1.07/1.28 assert (zenon_L2_ : (~(hskp9)) -> (hskp9) -> False). % 1.07/1.28 do 0 intro. intros zenon_H3 zenon_H4. % 1.07/1.28 exact (zenon_H3 zenon_H4). % 1.07/1.28 (* end of lemma zenon_L2_ *) % 1.07/1.28 assert (zenon_L3_ : (~(hskp13)) -> (hskp13) -> False). % 1.07/1.28 do 0 intro. intros zenon_H5 zenon_H6. % 1.07/1.28 exact (zenon_H5 zenon_H6). % 1.07/1.28 (* end of lemma zenon_L3_ *) % 1.07/1.28 assert (zenon_L4_ : ((hskp7)\/((hskp9)\/(hskp13))) -> (~(hskp7)) -> (~(hskp9)) -> (~(hskp13)) -> False). % 1.07/1.28 do 0 intro. intros zenon_H7 zenon_H1 zenon_H3 zenon_H5. % 1.07/1.28 apply (zenon_or_s _ _ zenon_H7); [ zenon_intro zenon_H2 | zenon_intro zenon_H8 ]. % 1.07/1.28 exact (zenon_H1 zenon_H2). % 1.07/1.28 apply (zenon_or_s _ _ zenon_H8); [ zenon_intro zenon_H4 | zenon_intro zenon_H6 ]. % 1.07/1.28 exact (zenon_H3 zenon_H4). % 1.07/1.28 exact (zenon_H5 zenon_H6). % 1.07/1.28 (* end of lemma zenon_L4_ *) % 1.07/1.28 assert (zenon_L5_ : (~(hskp17)) -> (hskp17) -> False). % 1.07/1.28 do 0 intro. intros zenon_H9 zenon_Ha. % 1.07/1.28 exact (zenon_H9 zenon_Ha). % 1.07/1.28 (* end of lemma zenon_L5_ *) % 1.07/1.28 assert (zenon_L6_ : (~(hskp8)) -> (hskp8) -> False). % 1.07/1.28 do 0 intro. intros zenon_Hb zenon_Hc. % 1.07/1.28 exact (zenon_Hb zenon_Hc). % 1.07/1.28 (* end of lemma zenon_L6_ *) % 1.07/1.28 assert (zenon_L7_ : (~(hskp4)) -> (hskp4) -> False). % 1.07/1.28 do 0 intro. intros zenon_Hd zenon_He. % 1.07/1.28 exact (zenon_Hd zenon_He). % 1.07/1.28 (* end of lemma zenon_L7_ *) % 1.07/1.28 assert (zenon_L8_ : ((hskp17)\/((hskp8)\/(hskp4))) -> (~(hskp17)) -> (~(hskp8)) -> (~(hskp4)) -> False). % 1.07/1.28 do 0 intro. intros zenon_Hf zenon_H9 zenon_Hb zenon_Hd. % 1.07/1.28 apply (zenon_or_s _ _ zenon_Hf); [ zenon_intro zenon_Ha | zenon_intro zenon_H10 ]. % 1.07/1.28 exact (zenon_H9 zenon_Ha). % 1.07/1.28 apply (zenon_or_s _ _ zenon_H10); [ zenon_intro zenon_Hc | zenon_intro zenon_He ]. % 1.07/1.28 exact (zenon_Hb zenon_Hc). % 1.07/1.28 exact (zenon_Hd zenon_He). % 1.07/1.28 (* end of lemma zenon_L8_ *) % 1.07/1.28 assert (zenon_L9_ : (~(hskp24)) -> (hskp24) -> False). % 1.07/1.28 do 0 intro. intros zenon_H11 zenon_H12. % 1.07/1.28 exact (zenon_H11 zenon_H12). % 1.07/1.28 (* end of lemma zenon_L9_ *) % 1.07/1.28 assert (zenon_L10_ : (~(hskp23)) -> (hskp23) -> False). % 1.07/1.28 do 0 intro. intros zenon_H13 zenon_H14. % 1.07/1.28 exact (zenon_H13 zenon_H14). % 1.07/1.28 (* end of lemma zenon_L10_ *) % 1.07/1.28 assert (zenon_L11_ : (~(hskp0)) -> (hskp0) -> False). % 1.07/1.28 do 0 intro. intros zenon_H15 zenon_H16. % 1.07/1.28 exact (zenon_H15 zenon_H16). % 1.07/1.28 (* end of lemma zenon_L11_ *) % 1.07/1.28 assert (zenon_L12_ : ((hskp24)\/((hskp23)\/(hskp0))) -> (~(hskp24)) -> (~(hskp23)) -> (~(hskp0)) -> False). % 1.07/1.28 do 0 intro. intros zenon_H17 zenon_H11 zenon_H13 zenon_H15. % 1.07/1.28 apply (zenon_or_s _ _ zenon_H17); [ zenon_intro zenon_H12 | zenon_intro zenon_H18 ]. % 1.07/1.28 exact (zenon_H11 zenon_H12). % 1.07/1.28 apply (zenon_or_s _ _ zenon_H18); [ zenon_intro zenon_H14 | zenon_intro zenon_H16 ]. % 1.07/1.28 exact (zenon_H13 zenon_H14). % 1.07/1.28 exact (zenon_H15 zenon_H16). % 1.07/1.28 (* end of lemma zenon_L12_ *) % 1.07/1.28 assert (zenon_L13_ : (~(ndr1_0)) -> (ndr1_0) -> False). % 1.07/1.28 do 0 intro. intros zenon_H19 zenon_H1a. % 1.07/1.28 exact (zenon_H19 zenon_H1a). % 1.07/1.28 (* end of lemma zenon_L13_ *) % 1.07/1.28 assert (zenon_L14_ : (forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32)))))) -> (ndr1_0) -> (forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))) -> (c1_1 (a3)) -> (c2_1 (a3)) -> (c3_1 (a3)) -> False). % 1.07/1.28 do 0 intro. intros zenon_H1b zenon_H1a zenon_H1c zenon_H1d zenon_H1e zenon_H1f. % 1.07/1.28 generalize (zenon_H1b (a3)). zenon_intro zenon_H20. % 1.07/1.28 apply (zenon_imply_s _ _ zenon_H20); [ zenon_intro zenon_H19 | zenon_intro zenon_H21 ]. % 1.07/1.28 exact (zenon_H19 zenon_H1a). % 1.07/1.28 apply (zenon_or_s _ _ zenon_H21); [ zenon_intro zenon_H23 | zenon_intro zenon_H22 ]. % 1.07/1.28 generalize (zenon_H1c (a3)). zenon_intro zenon_H24. % 1.07/1.28 apply (zenon_imply_s _ _ zenon_H24); [ zenon_intro zenon_H19 | zenon_intro zenon_H25 ]. % 1.07/1.28 exact (zenon_H19 zenon_H1a). % 1.07/1.28 apply (zenon_or_s _ _ zenon_H25); [ zenon_intro zenon_H27 | zenon_intro zenon_H26 ]. % 1.07/1.28 exact (zenon_H27 zenon_H23). % 1.07/1.28 apply (zenon_or_s _ _ zenon_H26); [ zenon_intro zenon_H29 | zenon_intro zenon_H28 ]. % 1.07/1.28 exact (zenon_H29 zenon_H1d). % 1.07/1.28 exact (zenon_H28 zenon_H1e). % 1.07/1.28 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H29 | zenon_intro zenon_H2a ]. % 1.07/1.28 exact (zenon_H29 zenon_H1d). % 1.07/1.28 exact (zenon_H2a zenon_H1f). % 1.07/1.28 (* end of lemma zenon_L14_ *) % 1.07/1.28 assert (zenon_L15_ : (~(hskp6)) -> (hskp6) -> False). % 1.07/1.28 do 0 intro. intros zenon_H2b zenon_H2c. % 1.07/1.28 exact (zenon_H2b zenon_H2c). % 1.07/1.28 (* end of lemma zenon_L15_ *) % 1.07/1.28 assert (zenon_L16_ : (~(hskp10)) -> (hskp10) -> False). % 1.07/1.28 do 0 intro. intros zenon_H2d zenon_H2e. % 1.07/1.28 exact (zenon_H2d zenon_H2e). % 1.07/1.28 (* end of lemma zenon_L16_ *) % 1.07/1.28 assert (zenon_L17_ : ((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp6)\/(hskp10))) -> (c3_1 (a3)) -> (c2_1 (a3)) -> (c1_1 (a3)) -> (ndr1_0) -> (forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32)))))) -> (~(hskp6)) -> (~(hskp10)) -> False). % 1.07/1.28 do 0 intro. intros zenon_H2f zenon_H1f zenon_H1e zenon_H1d zenon_H1a zenon_H1b zenon_H2b zenon_H2d. % 1.07/1.28 apply (zenon_or_s _ _ zenon_H2f); [ zenon_intro zenon_H1c | zenon_intro zenon_H30 ]. % 1.07/1.28 apply (zenon_L14_); trivial. % 1.07/1.28 apply (zenon_or_s _ _ zenon_H30); [ zenon_intro zenon_H2c | zenon_intro zenon_H2e ]. % 1.07/1.28 exact (zenon_H2b zenon_H2c). % 1.07/1.28 exact (zenon_H2d zenon_H2e). % 1.07/1.28 (* end of lemma zenon_L17_ *) % 1.07/1.28 assert (zenon_L18_ : (forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))) -> (ndr1_0) -> (~(c1_1 (a31))) -> (c2_1 (a31)) -> (c3_1 (a31)) -> False). % 1.07/1.28 do 0 intro. intros zenon_H31 zenon_H1a zenon_H32 zenon_H33 zenon_H34. % 1.07/1.28 generalize (zenon_H31 (a31)). zenon_intro zenon_H35. % 1.07/1.28 apply (zenon_imply_s _ _ zenon_H35); [ zenon_intro zenon_H19 | zenon_intro zenon_H36 ]. % 1.07/1.28 exact (zenon_H19 zenon_H1a). % 1.07/1.28 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H38 | zenon_intro zenon_H37 ]. % 1.07/1.28 exact (zenon_H32 zenon_H38). % 1.07/1.28 apply (zenon_or_s _ _ zenon_H37); [ zenon_intro zenon_H3a | zenon_intro zenon_H39 ]. % 1.07/1.28 exact (zenon_H3a zenon_H33). % 1.07/1.28 exact (zenon_H39 zenon_H34). % 1.07/1.28 (* end of lemma zenon_L18_ *) % 1.07/1.28 assert (zenon_L19_ : (forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10)))))) -> (ndr1_0) -> (~(c1_1 (a31))) -> (forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))) -> (c2_1 (a31)) -> (c0_1 (a31)) -> False). % 1.07/1.28 do 0 intro. intros zenon_H3b zenon_H1a zenon_H32 zenon_H31 zenon_H33 zenon_H3c. % 1.07/1.28 generalize (zenon_H3b (a31)). zenon_intro zenon_H3d. % 1.07/1.28 apply (zenon_imply_s _ _ zenon_H3d); [ zenon_intro zenon_H19 | zenon_intro zenon_H3e ]. % 1.07/1.28 exact (zenon_H19 zenon_H1a). % 1.07/1.28 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H38 | zenon_intro zenon_H3f ]. % 1.07/1.28 exact (zenon_H32 zenon_H38). % 1.07/1.28 apply (zenon_or_s _ _ zenon_H3f); [ zenon_intro zenon_H34 | zenon_intro zenon_H40 ]. % 1.07/1.28 apply (zenon_L18_); trivial. % 1.07/1.28 exact (zenon_H40 zenon_H3c). % 1.07/1.28 (* end of lemma zenon_L19_ *) % 1.07/1.28 assert (zenon_L20_ : ((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> (~(hskp10)) -> (~(c1_1 (a31))) -> (c2_1 (a31)) -> (c0_1 (a31)) -> ((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp6)\/(hskp10))) -> (~(hskp6)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp4)) -> False). % 1.07/1.28 do 0 intro. intros zenon_H41 zenon_H42 zenon_H2d zenon_H32 zenon_H33 zenon_H3c zenon_H2f zenon_H2b zenon_H43 zenon_Hd. % 1.07/1.28 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H1a. zenon_intro zenon_H44. % 1.07/1.28 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H1d. zenon_intro zenon_H45. % 1.07/1.28 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H1e. zenon_intro zenon_H1f. % 1.07/1.28 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H1b | zenon_intro zenon_H46 ]. % 1.07/1.28 apply (zenon_L17_); trivial. % 1.07/1.28 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_He ]. % 1.07/1.28 apply (zenon_or_s _ _ zenon_H43); [ zenon_intro zenon_H1b | zenon_intro zenon_H47 ]. % 1.07/1.28 apply (zenon_L17_); trivial. % 1.07/1.28 apply (zenon_or_s _ _ zenon_H47); [ zenon_intro zenon_H31 | zenon_intro zenon_H2e ]. % 1.07/1.28 apply (zenon_L19_); trivial. % 1.07/1.28 exact (zenon_H2d zenon_H2e). % 1.07/1.28 exact (zenon_Hd zenon_He). % 1.07/1.28 (* end of lemma zenon_L20_ *) % 1.07/1.28 assert (zenon_L21_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> (~(hskp4)) -> (~(c1_1 (a31))) -> (c2_1 (a31)) -> (c0_1 (a31)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp6)) -> (~(hskp10)) -> ((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp6)\/(hskp10))) -> (~(hskp23)) -> (~(hskp0)) -> ((hskp24)\/((hskp23)\/(hskp0))) -> False). % 1.07/1.28 do 0 intro. intros zenon_H48 zenon_H42 zenon_Hd zenon_H32 zenon_H33 zenon_H3c zenon_H43 zenon_H2b zenon_H2d zenon_H2f zenon_H13 zenon_H15 zenon_H17. % 1.07/1.28 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H11 | zenon_intro zenon_H41 ]. % 1.07/1.28 apply (zenon_L12_); trivial. % 1.07/1.28 apply (zenon_L20_); trivial. % 1.07/1.28 (* end of lemma zenon_L21_ *) % 1.07/1.28 assert (zenon_L22_ : (forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36)))))) -> (ndr1_0) -> (~(c0_1 (a53))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c1_1 (a53))) -> (c3_1 (a53)) -> False). % 1.07/1.28 do 0 intro. intros zenon_H49 zenon_H1a zenon_H4a zenon_H4b zenon_H4c zenon_H4d. % 1.07/1.28 generalize (zenon_H49 (a53)). zenon_intro zenon_H4e. % 1.07/1.28 apply (zenon_imply_s _ _ zenon_H4e); [ zenon_intro zenon_H19 | zenon_intro zenon_H4f ]. % 1.07/1.28 exact (zenon_H19 zenon_H1a). % 1.07/1.28 apply (zenon_or_s _ _ zenon_H4f); [ zenon_intro zenon_H51 | zenon_intro zenon_H50 ]. % 1.07/1.28 exact (zenon_H4a zenon_H51). % 1.07/1.28 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H53 | zenon_intro zenon_H52 ]. % 1.07/1.28 generalize (zenon_H4b (a53)). zenon_intro zenon_H54. % 1.07/1.28 apply (zenon_imply_s _ _ zenon_H54); [ zenon_intro zenon_H19 | zenon_intro zenon_H55 ]. % 1.07/1.28 exact (zenon_H19 zenon_H1a). % 1.07/1.28 apply (zenon_or_s _ _ zenon_H55); [ zenon_intro zenon_H51 | zenon_intro zenon_H56 ]. % 1.07/1.28 exact (zenon_H4a zenon_H51). % 1.07/1.28 apply (zenon_or_s _ _ zenon_H56); [ zenon_intro zenon_H58 | zenon_intro zenon_H57 ]. % 1.07/1.28 exact (zenon_H4c zenon_H58). % 1.07/1.28 exact (zenon_H53 zenon_H57). % 1.07/1.28 exact (zenon_H52 zenon_H4d). % 1.07/1.28 (* end of lemma zenon_L22_ *) % 1.07/1.28 assert (zenon_L23_ : (~(hskp27)) -> (hskp27) -> False). % 1.07/1.28 do 0 intro. intros zenon_H59 zenon_H5a. % 1.07/1.28 exact (zenon_H59 zenon_H5a). % 1.07/1.28 (* end of lemma zenon_L23_ *) % 1.07/1.28 assert (zenon_L24_ : (~(hskp12)) -> (hskp12) -> False). % 1.07/1.28 do 0 intro. intros zenon_H5b zenon_H5c. % 1.07/1.28 exact (zenon_H5b zenon_H5c). % 1.07/1.28 (* end of lemma zenon_L24_ *) % 1.07/1.28 assert (zenon_L25_ : ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp27)\/(hskp12))) -> (c3_1 (a53)) -> (~(c1_1 (a53))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c0_1 (a53))) -> (ndr1_0) -> (~(hskp27)) -> (~(hskp12)) -> False). % 1.07/1.28 do 0 intro. intros zenon_H5d zenon_H4d zenon_H4c zenon_H4b zenon_H4a zenon_H1a zenon_H59 zenon_H5b. % 1.07/1.28 apply (zenon_or_s _ _ zenon_H5d); [ zenon_intro zenon_H49 | zenon_intro zenon_H5e ]. % 1.07/1.28 apply (zenon_L22_); trivial. % 1.07/1.28 apply (zenon_or_s _ _ zenon_H5e); [ zenon_intro zenon_H5a | zenon_intro zenon_H5c ]. % 1.07/1.28 exact (zenon_H59 zenon_H5a). % 1.07/1.28 exact (zenon_H5b zenon_H5c). % 1.07/1.28 (* end of lemma zenon_L25_ *) % 1.07/1.28 assert (zenon_L26_ : (forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y)))))) -> (ndr1_0) -> (~(c1_1 (a31))) -> (c0_1 (a31)) -> (c2_1 (a31)) -> False). % 1.07/1.28 do 0 intro. intros zenon_H5f zenon_H1a zenon_H32 zenon_H3c zenon_H33. % 1.07/1.28 generalize (zenon_H5f (a31)). zenon_intro zenon_H60. % 1.07/1.28 apply (zenon_imply_s _ _ zenon_H60); [ zenon_intro zenon_H19 | zenon_intro zenon_H61 ]. % 1.07/1.28 exact (zenon_H19 zenon_H1a). % 1.07/1.28 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H38 | zenon_intro zenon_H62 ]. % 1.07/1.28 exact (zenon_H32 zenon_H38). % 1.07/1.28 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H40 | zenon_intro zenon_H3a ]. % 1.07/1.28 exact (zenon_H40 zenon_H3c). % 1.07/1.28 exact (zenon_H3a zenon_H33). % 1.07/1.28 (* end of lemma zenon_L26_ *) % 1.07/1.28 assert (zenon_L27_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(hskp0))) -> (~(hskp12)) -> (~(hskp27)) -> (~(c0_1 (a53))) -> (~(c1_1 (a53))) -> (c3_1 (a53)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp27)\/(hskp12))) -> (c2_1 (a31)) -> (c0_1 (a31)) -> (~(c1_1 (a31))) -> (ndr1_0) -> (~(hskp0)) -> False). % 1.07/1.28 do 0 intro. intros zenon_H63 zenon_H5b zenon_H59 zenon_H4a zenon_H4c zenon_H4d zenon_H5d zenon_H33 zenon_H3c zenon_H32 zenon_H1a zenon_H15. % 1.07/1.28 apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H4b | zenon_intro zenon_H64 ]. % 1.07/1.28 apply (zenon_L25_); trivial. % 1.07/1.28 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H5f | zenon_intro zenon_H16 ]. % 1.07/1.28 apply (zenon_L26_); trivial. % 1.07/1.28 exact (zenon_H15 zenon_H16). % 1.07/1.28 (* end of lemma zenon_L27_ *) % 1.07/1.28 assert (zenon_L28_ : (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6)))))) -> (ndr1_0) -> (~(c0_1 (a53))) -> (~(c1_1 (a53))) -> (c2_1 (a53)) -> False). % 1.07/1.28 do 0 intro. intros zenon_H65 zenon_H1a zenon_H4a zenon_H4c zenon_H57. % 1.07/1.28 generalize (zenon_H65 (a53)). zenon_intro zenon_H66. % 1.07/1.28 apply (zenon_imply_s _ _ zenon_H66); [ zenon_intro zenon_H19 | zenon_intro zenon_H67 ]. % 1.07/1.28 exact (zenon_H19 zenon_H1a). % 1.07/1.28 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_H51 | zenon_intro zenon_H68 ]. % 1.07/1.28 exact (zenon_H4a zenon_H51). % 1.07/1.28 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H58 | zenon_intro zenon_H53 ]. % 1.07/1.28 exact (zenon_H4c zenon_H58). % 1.07/1.28 exact (zenon_H53 zenon_H57). % 1.07/1.28 (* end of lemma zenon_L28_ *) % 1.07/1.28 assert (zenon_L29_ : (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c3_1 W)))))) -> (ndr1_0) -> (~(c0_1 (a53))) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6)))))) -> (~(c1_1 (a53))) -> (c3_1 (a53)) -> False). % 1.07/1.28 do 0 intro. intros zenon_H69 zenon_H1a zenon_H4a zenon_H65 zenon_H4c zenon_H4d. % 1.07/1.28 generalize (zenon_H69 (a53)). zenon_intro zenon_H6a. % 1.07/1.28 apply (zenon_imply_s _ _ zenon_H6a); [ zenon_intro zenon_H19 | zenon_intro zenon_H6b ]. % 1.07/1.28 exact (zenon_H19 zenon_H1a). % 1.07/1.28 apply (zenon_or_s _ _ zenon_H6b); [ zenon_intro zenon_H51 | zenon_intro zenon_H6c ]. % 1.07/1.28 exact (zenon_H4a zenon_H51). % 1.07/1.28 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H57 | zenon_intro zenon_H52 ]. % 1.07/1.28 apply (zenon_L28_); trivial. % 1.07/1.28 exact (zenon_H52 zenon_H4d). % 1.07/1.28 (* end of lemma zenon_L29_ *) % 1.07/1.28 assert (zenon_L30_ : (forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))) -> (ndr1_0) -> (forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))) -> (c1_1 (a11)) -> (c3_1 (a11)) -> False). % 1.07/1.28 do 0 intro. intros zenon_H6d zenon_H1a zenon_H6e zenon_H6f zenon_H70. % 1.07/1.28 generalize (zenon_H6d (a11)). zenon_intro zenon_H71. % 1.07/1.28 apply (zenon_imply_s _ _ zenon_H71); [ zenon_intro zenon_H19 | zenon_intro zenon_H72 ]. % 1.07/1.28 exact (zenon_H19 zenon_H1a). % 1.07/1.28 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H74 | zenon_intro zenon_H73 ]. % 1.07/1.28 generalize (zenon_H6e (a11)). zenon_intro zenon_H75. % 1.07/1.28 apply (zenon_imply_s _ _ zenon_H75); [ zenon_intro zenon_H19 | zenon_intro zenon_H76 ]. % 1.07/1.28 exact (zenon_H19 zenon_H1a). % 1.07/1.28 apply (zenon_or_s _ _ zenon_H76); [ zenon_intro zenon_H78 | zenon_intro zenon_H77 ]. % 1.07/1.28 exact (zenon_H78 zenon_H6f). % 1.07/1.28 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H7a | zenon_intro zenon_H79 ]. % 1.07/1.28 exact (zenon_H7a zenon_H74). % 1.07/1.28 exact (zenon_H79 zenon_H70). % 1.07/1.28 apply (zenon_or_s _ _ zenon_H73); [ zenon_intro zenon_H78 | zenon_intro zenon_H79 ]. % 1.07/1.28 exact (zenon_H78 zenon_H6f). % 1.07/1.28 exact (zenon_H79 zenon_H70). % 1.07/1.28 (* end of lemma zenon_L30_ *) % 1.07/1.28 assert (zenon_L31_ : ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((hskp9)\/(hskp24))) -> (c3_1 (a11)) -> (c1_1 (a11)) -> (forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))) -> (ndr1_0) -> (~(hskp9)) -> (~(hskp24)) -> False). % 1.07/1.28 do 0 intro. intros zenon_H7b zenon_H70 zenon_H6f zenon_H6e zenon_H1a zenon_H3 zenon_H11. % 1.07/1.28 apply (zenon_or_s _ _ zenon_H7b); [ zenon_intro zenon_H6d | zenon_intro zenon_H7c ]. % 1.07/1.28 apply (zenon_L30_); trivial. % 1.07/1.28 apply (zenon_or_s _ _ zenon_H7c); [ zenon_intro zenon_H4 | zenon_intro zenon_H12 ]. % 1.07/1.28 exact (zenon_H3 zenon_H4). % 1.07/1.28 exact (zenon_H11 zenon_H12). % 1.07/1.28 (* end of lemma zenon_L31_ *) % 1.07/1.28 assert (zenon_L32_ : ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c3_1 W))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(hskp6))) -> (c3_1 (a53)) -> (~(c1_1 (a53))) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6)))))) -> (~(c0_1 (a53))) -> (~(hskp24)) -> (~(hskp9)) -> (ndr1_0) -> (c1_1 (a11)) -> (c3_1 (a11)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((hskp9)\/(hskp24))) -> (~(hskp6)) -> False). % 1.07/1.28 do 0 intro. intros zenon_H7d zenon_H4d zenon_H4c zenon_H65 zenon_H4a zenon_H11 zenon_H3 zenon_H1a zenon_H6f zenon_H70 zenon_H7b zenon_H2b. % 1.07/1.28 apply (zenon_or_s _ _ zenon_H7d); [ zenon_intro zenon_H69 | zenon_intro zenon_H7e ]. % 1.07/1.28 apply (zenon_L29_); trivial. % 1.07/1.28 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H6e | zenon_intro zenon_H2c ]. % 1.07/1.28 apply (zenon_L31_); trivial. % 1.07/1.28 exact (zenon_H2b zenon_H2c). % 1.07/1.28 (* end of lemma zenon_L32_ *) % 1.07/1.28 assert (zenon_L33_ : (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7)))))) -> (ndr1_0) -> (~(c0_1 (a22))) -> (~(c3_1 (a22))) -> (c1_1 (a22)) -> False). % 1.07/1.28 do 0 intro. intros zenon_H7f zenon_H1a zenon_H80 zenon_H81 zenon_H82. % 1.07/1.28 generalize (zenon_H7f (a22)). zenon_intro zenon_H83. % 1.07/1.28 apply (zenon_imply_s _ _ zenon_H83); [ zenon_intro zenon_H19 | zenon_intro zenon_H84 ]. % 1.07/1.28 exact (zenon_H19 zenon_H1a). % 1.07/1.28 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H86 | zenon_intro zenon_H85 ]. % 1.07/1.28 exact (zenon_H80 zenon_H86). % 1.07/1.28 apply (zenon_or_s _ _ zenon_H85); [ zenon_intro zenon_H88 | zenon_intro zenon_H87 ]. % 1.07/1.28 exact (zenon_H81 zenon_H88). % 1.07/1.28 exact (zenon_H87 zenon_H82). % 1.07/1.28 (* end of lemma zenon_L33_ *) % 1.07/1.28 assert (zenon_L34_ : (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (ndr1_0) -> (~(c0_1 (a22))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7)))))) -> (~(c3_1 (a22))) -> (~(c2_1 (a22))) -> False). % 1.07/1.28 do 0 intro. intros zenon_H4b zenon_H1a zenon_H80 zenon_H7f zenon_H81 zenon_H89. % 1.07/1.28 generalize (zenon_H4b (a22)). zenon_intro zenon_H8a. % 1.07/1.28 apply (zenon_imply_s _ _ zenon_H8a); [ zenon_intro zenon_H19 | zenon_intro zenon_H8b ]. % 1.07/1.28 exact (zenon_H19 zenon_H1a). % 1.07/1.28 apply (zenon_or_s _ _ zenon_H8b); [ zenon_intro zenon_H86 | zenon_intro zenon_H8c ]. % 1.07/1.28 exact (zenon_H80 zenon_H86). % 1.07/1.28 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H82 | zenon_intro zenon_H8d ]. % 1.07/1.28 apply (zenon_L33_); trivial. % 1.07/1.28 exact (zenon_H89 zenon_H8d). % 1.07/1.28 (* end of lemma zenon_L34_ *) % 1.07/1.28 assert (zenon_L35_ : (forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37)))))) -> (ndr1_0) -> (forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))) -> (~(c1_1 (a31))) -> (c2_1 (a31)) -> (c0_1 (a31)) -> False). % 1.07/1.28 do 0 intro. intros zenon_H8e zenon_H1a zenon_H31 zenon_H32 zenon_H33 zenon_H3c. % 1.07/1.28 generalize (zenon_H8e (a31)). zenon_intro zenon_H8f. % 1.07/1.28 apply (zenon_imply_s _ _ zenon_H8f); [ zenon_intro zenon_H19 | zenon_intro zenon_H90 ]. % 1.07/1.28 exact (zenon_H19 zenon_H1a). % 1.07/1.28 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H34 | zenon_intro zenon_H62 ]. % 1.07/1.28 apply (zenon_L18_); trivial. % 1.07/1.28 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H40 | zenon_intro zenon_H3a ]. % 1.07/1.28 exact (zenon_H40 zenon_H3c). % 1.07/1.28 exact (zenon_H3a zenon_H33). % 1.07/1.28 (* end of lemma zenon_L35_ *) % 1.07/1.28 assert (zenon_L36_ : (~(hskp11)) -> (hskp11) -> False). % 1.07/1.28 do 0 intro. intros zenon_H91 zenon_H92. % 1.07/1.28 exact (zenon_H91 zenon_H92). % 1.07/1.28 (* end of lemma zenon_L36_ *) % 1.07/1.28 assert (zenon_L37_ : ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (c3_1 (a53)) -> (~(c1_1 (a53))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c0_1 (a53))) -> (c0_1 (a31)) -> (c2_1 (a31)) -> (~(c1_1 (a31))) -> (forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))) -> (ndr1_0) -> (~(hskp11)) -> False). % 1.07/1.28 do 0 intro. intros zenon_H93 zenon_H4d zenon_H4c zenon_H4b zenon_H4a zenon_H3c zenon_H33 zenon_H32 zenon_H31 zenon_H1a zenon_H91. % 1.07/1.28 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H49 | zenon_intro zenon_H94 ]. % 1.07/1.28 apply (zenon_L22_); trivial. % 1.07/1.28 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H8e | zenon_intro zenon_H92 ]. % 1.07/1.28 apply (zenon_L35_); trivial. % 1.07/1.28 exact (zenon_H91 zenon_H92). % 1.07/1.28 (* end of lemma zenon_L37_ *) % 1.07/1.28 assert (zenon_L38_ : ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (~(hskp6)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((hskp9)\/(hskp24))) -> (c3_1 (a11)) -> (c1_1 (a11)) -> (~(hskp9)) -> (~(hskp24)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c3_1 W))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(hskp6))) -> (~(c2_1 (a22))) -> (~(c3_1 (a22))) -> (~(c0_1 (a22))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (c3_1 (a53)) -> (~(c1_1 (a53))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c0_1 (a53))) -> (c0_1 (a31)) -> (c2_1 (a31)) -> (~(c1_1 (a31))) -> (ndr1_0) -> (~(hskp11)) -> False). % 1.07/1.28 do 0 intro. intros zenon_H95 zenon_H2b zenon_H7b zenon_H70 zenon_H6f zenon_H3 zenon_H11 zenon_H7d zenon_H89 zenon_H81 zenon_H80 zenon_H93 zenon_H4d zenon_H4c zenon_H4b zenon_H4a zenon_H3c zenon_H33 zenon_H32 zenon_H1a zenon_H91. % 1.07/1.28 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H65 | zenon_intro zenon_H96 ]. % 1.07/1.28 apply (zenon_L32_); trivial. % 1.07/1.28 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H7f | zenon_intro zenon_H31 ]. % 1.07/1.28 apply (zenon_L34_); trivial. % 1.07/1.28 apply (zenon_L37_); trivial. % 1.07/1.28 (* end of lemma zenon_L38_ *) % 1.07/1.28 assert (zenon_L39_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a11))/\((c1_1 (a11))/\(c3_1 (a11)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c3_1 W))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(hskp6))) -> (~(hskp6)) -> (~(hskp9)) -> (~(hskp24)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((hskp9)\/(hskp24))) -> (~(c0_1 (a22))) -> (~(c3_1 (a22))) -> (~(c2_1 (a22))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp27)\/(hskp12))) -> (~(hskp12)) -> (c3_1 (a53)) -> (~(c1_1 (a53))) -> (~(c0_1 (a53))) -> (ndr1_0) -> (~(c1_1 (a31))) -> (c0_1 (a31)) -> (c2_1 (a31)) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(hskp0))) -> False). % 1.07/1.28 do 0 intro. intros zenon_H97 zenon_H7d zenon_H2b zenon_H3 zenon_H11 zenon_H7b zenon_H80 zenon_H81 zenon_H89 zenon_H93 zenon_H91 zenon_H95 zenon_H5d zenon_H5b zenon_H4d zenon_H4c zenon_H4a zenon_H1a zenon_H32 zenon_H3c zenon_H33 zenon_H15 zenon_H63. % 1.07/1.28 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H98 ]. % 1.07/1.28 apply (zenon_L27_); trivial. % 1.07/1.28 apply (zenon_and_s _ _ zenon_H98). zenon_intro zenon_H1a. zenon_intro zenon_H99. % 1.07/1.28 apply (zenon_and_s _ _ zenon_H99). zenon_intro zenon_H9b. zenon_intro zenon_H9a. % 1.07/1.28 apply (zenon_and_s _ _ zenon_H9a). zenon_intro zenon_H6f. zenon_intro zenon_H70. % 1.07/1.28 apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H4b | zenon_intro zenon_H64 ]. % 1.07/1.28 apply (zenon_L38_); trivial. % 1.07/1.28 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H5f | zenon_intro zenon_H16 ]. % 1.07/1.28 apply (zenon_L26_); trivial. % 1.07/1.28 exact (zenon_H15 zenon_H16). % 1.07/1.28 (* end of lemma zenon_L39_ *) % 1.07/1.28 assert (zenon_L40_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(hskp0))) -> (~(hskp12)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp27)\/(hskp12))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (~(hskp11)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(c2_1 (a22))) -> (~(c3_1 (a22))) -> (~(c0_1 (a22))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((hskp9)\/(hskp24))) -> (~(hskp9)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c3_1 W))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(hskp6))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a11))/\((c1_1 (a11))/\(c3_1 (a11)))))) -> ((hskp24)\/((hskp23)\/(hskp0))) -> (~(hskp0)) -> ((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp6)\/(hskp10))) -> (~(hskp10)) -> (~(hskp6)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> (~(hskp8)) -> (~(hskp4)) -> ((hskp17)\/((hskp8)\/(hskp4))) -> False). % 1.07/1.28 do 0 intro. intros zenon_H9c zenon_H9d zenon_H63 zenon_H5b zenon_H5d zenon_H95 zenon_H91 zenon_H93 zenon_H89 zenon_H81 zenon_H80 zenon_H7b zenon_H3 zenon_H7d zenon_H97 zenon_H17 zenon_H15 zenon_H2f zenon_H2d zenon_H2b zenon_H43 zenon_H42 zenon_H48 zenon_Hb zenon_Hd zenon_Hf. % 1.07/1.28 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.07/1.28 apply (zenon_L8_); trivial. % 1.07/1.28 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.07/1.28 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.07/1.28 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.07/1.28 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H13 | zenon_intro zenon_Ha1 ]. % 1.07/1.28 apply (zenon_L21_); trivial. % 1.07/1.28 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H1a. zenon_intro zenon_Ha2. % 1.07/1.28 apply (zenon_and_s _ _ zenon_Ha2). zenon_intro zenon_H4d. zenon_intro zenon_Ha3. % 1.07/1.28 apply (zenon_and_s _ _ zenon_Ha3). zenon_intro zenon_H4a. zenon_intro zenon_H4c. % 1.07/1.28 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H11 | zenon_intro zenon_H41 ]. % 1.07/1.28 apply (zenon_L39_); trivial. % 1.07/1.28 apply (zenon_L20_); trivial. % 1.07/1.28 (* end of lemma zenon_L40_ *) % 1.07/1.28 assert (zenon_L41_ : (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (ndr1_0) -> (~(c0_1 (a21))) -> (~(c1_1 (a21))) -> (~(c2_1 (a21))) -> False). % 1.07/1.28 do 0 intro. intros zenon_H4b zenon_H1a zenon_Ha4 zenon_Ha5 zenon_Ha6. % 1.07/1.28 generalize (zenon_H4b (a21)). zenon_intro zenon_Ha7. % 1.07/1.28 apply (zenon_imply_s _ _ zenon_Ha7); [ zenon_intro zenon_H19 | zenon_intro zenon_Ha8 ]. % 1.07/1.28 exact (zenon_H19 zenon_H1a). % 1.07/1.28 apply (zenon_or_s _ _ zenon_Ha8); [ zenon_intro zenon_Haa | zenon_intro zenon_Ha9 ]. % 1.07/1.28 exact (zenon_Ha4 zenon_Haa). % 1.07/1.28 apply (zenon_or_s _ _ zenon_Ha9); [ zenon_intro zenon_Hac | zenon_intro zenon_Hab ]. % 1.07/1.28 exact (zenon_Ha5 zenon_Hac). % 1.07/1.28 exact (zenon_Ha6 zenon_Hab). % 1.07/1.28 (* end of lemma zenon_L41_ *) % 1.07/1.28 assert (zenon_L42_ : ((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(hskp0))) -> (~(c2_1 (a21))) -> (~(c1_1 (a21))) -> (~(c0_1 (a21))) -> (~(hskp0)) -> False). % 1.07/1.28 do 0 intro. intros zenon_H9e zenon_H63 zenon_Ha6 zenon_Ha5 zenon_Ha4 zenon_H15. % 1.07/1.28 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.07/1.28 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.07/1.28 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.07/1.28 apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H4b | zenon_intro zenon_H64 ]. % 1.07/1.28 apply (zenon_L41_); trivial. % 1.07/1.28 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H5f | zenon_intro zenon_H16 ]. % 1.07/1.28 apply (zenon_L26_); trivial. % 1.07/1.28 exact (zenon_H15 zenon_H16). % 1.07/1.28 (* end of lemma zenon_L42_ *) % 1.07/1.28 assert (zenon_L43_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> (~(c2_1 (a21))) -> (~(c1_1 (a21))) -> (~(c0_1 (a21))) -> (~(hskp8)) -> (~(hskp4)) -> ((hskp17)\/((hskp8)\/(hskp4))) -> False). % 1.07/1.28 do 0 intro. intros zenon_H9c zenon_H63 zenon_H15 zenon_Ha6 zenon_Ha5 zenon_Ha4 zenon_Hb zenon_Hd zenon_Hf. % 1.07/1.28 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.07/1.28 apply (zenon_L8_); trivial. % 1.07/1.28 apply (zenon_L42_); trivial. % 1.07/1.28 (* end of lemma zenon_L43_ *) % 1.07/1.28 assert (zenon_L44_ : (forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44)))))) -> (ndr1_0) -> (~(c1_1 (a19))) -> (~(c3_1 (a19))) -> (c2_1 (a19)) -> False). % 1.07/1.28 do 0 intro. intros zenon_Had zenon_H1a zenon_Hae zenon_Haf zenon_Hb0. % 1.07/1.28 generalize (zenon_Had (a19)). zenon_intro zenon_Hb1. % 1.07/1.28 apply (zenon_imply_s _ _ zenon_Hb1); [ zenon_intro zenon_H19 | zenon_intro zenon_Hb2 ]. % 1.07/1.28 exact (zenon_H19 zenon_H1a). % 1.07/1.28 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_Hb4 | zenon_intro zenon_Hb3 ]. % 1.07/1.28 exact (zenon_Hae zenon_Hb4). % 1.07/1.28 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_Hb6 | zenon_intro zenon_Hb5 ]. % 1.07/1.28 exact (zenon_Haf zenon_Hb6). % 1.07/1.28 exact (zenon_Hb5 zenon_Hb0). % 1.07/1.28 (* end of lemma zenon_L44_ *) % 1.07/1.28 assert (zenon_L45_ : ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(hskp7)) -> (~(hskp7)) -> (c2_1 (a19)) -> (~(c3_1 (a19))) -> (~(c1_1 (a19))) -> (ndr1_0) -> False). % 1.07/1.28 do 0 intro. intros zenon_Hb7 zenon_H1 zenon_Hb0 zenon_Haf zenon_Hae zenon_H1a. % 1.07/1.28 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_Had | zenon_intro zenon_H2 ]. % 1.07/1.28 apply (zenon_L44_); trivial. % 1.07/1.28 exact (zenon_H1 zenon_H2). % 1.07/1.28 (* end of lemma zenon_L45_ *) % 1.07/1.28 assert (zenon_L46_ : (forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z))))) -> (ndr1_0) -> (~(c0_1 (a22))) -> (forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21)))))) -> (~(c2_1 (a22))) -> (~(c3_1 (a22))) -> False). % 1.07/1.28 do 0 intro. intros zenon_Hb8 zenon_H1a zenon_H80 zenon_Hb9 zenon_H89 zenon_H81. % 1.07/1.28 generalize (zenon_Hb8 (a22)). zenon_intro zenon_Hba. % 1.07/1.28 apply (zenon_imply_s _ _ zenon_Hba); [ zenon_intro zenon_H19 | zenon_intro zenon_Hbb ]. % 1.07/1.28 exact (zenon_H19 zenon_H1a). % 1.07/1.28 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H86 | zenon_intro zenon_Hbc ]. % 1.07/1.28 exact (zenon_H80 zenon_H86). % 1.07/1.28 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H82 | zenon_intro zenon_H88 ]. % 1.07/1.28 generalize (zenon_Hb9 (a22)). zenon_intro zenon_Hbd. % 1.07/1.28 apply (zenon_imply_s _ _ zenon_Hbd); [ zenon_intro zenon_H19 | zenon_intro zenon_Hbe ]. % 1.07/1.28 exact (zenon_H19 zenon_H1a). % 1.07/1.28 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_H86 | zenon_intro zenon_Hbf ]. % 1.07/1.28 exact (zenon_H80 zenon_H86). % 1.07/1.28 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H8d | zenon_intro zenon_H87 ]. % 1.07/1.28 exact (zenon_H89 zenon_H8d). % 1.07/1.28 exact (zenon_H87 zenon_H82). % 1.07/1.28 exact (zenon_H81 zenon_H88). % 1.07/1.28 (* end of lemma zenon_L46_ *) % 1.07/1.28 assert (zenon_L47_ : (forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44)))))) -> (ndr1_0) -> (forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22)))))) -> (~(c3_1 (a18))) -> (c2_1 (a18)) -> False). % 1.07/1.28 do 0 intro. intros zenon_Had zenon_H1a zenon_Hc0 zenon_Hc1 zenon_Hc2. % 1.07/1.28 generalize (zenon_Had (a18)). zenon_intro zenon_Hc3. % 1.07/1.28 apply (zenon_imply_s _ _ zenon_Hc3); [ zenon_intro zenon_H19 | zenon_intro zenon_Hc4 ]. % 1.07/1.28 exact (zenon_H19 zenon_H1a). % 1.07/1.28 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hc5 ]. % 1.07/1.28 generalize (zenon_Hc0 (a18)). zenon_intro zenon_Hc7. % 1.07/1.28 apply (zenon_imply_s _ _ zenon_Hc7); [ zenon_intro zenon_H19 | zenon_intro zenon_Hc8 ]. % 1.07/1.28 exact (zenon_H19 zenon_H1a). % 1.07/1.28 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_Hca | zenon_intro zenon_Hc9 ]. % 1.07/1.28 exact (zenon_Hc1 zenon_Hca). % 1.07/1.28 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hcc | zenon_intro zenon_Hcb ]. % 1.07/1.28 exact (zenon_Hcc zenon_Hc6). % 1.07/1.28 exact (zenon_Hcb zenon_Hc2). % 1.07/1.28 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hca | zenon_intro zenon_Hcb ]. % 1.07/1.28 exact (zenon_Hc1 zenon_Hca). % 1.07/1.28 exact (zenon_Hcb zenon_Hc2). % 1.07/1.28 (* end of lemma zenon_L47_ *) % 1.07/1.28 assert (zenon_L48_ : (forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))) -> (ndr1_0) -> (c0_1 (a31)) -> (c2_1 (a31)) -> (c3_1 (a31)) -> False). % 1.07/1.28 do 0 intro. intros zenon_Hcd zenon_H1a zenon_H3c zenon_H33 zenon_H34. % 1.07/1.28 generalize (zenon_Hcd (a31)). zenon_intro zenon_Hce. % 1.07/1.28 apply (zenon_imply_s _ _ zenon_Hce); [ zenon_intro zenon_H19 | zenon_intro zenon_Hcf ]. % 1.07/1.28 exact (zenon_H19 zenon_H1a). % 1.07/1.28 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_H40 | zenon_intro zenon_H37 ]. % 1.07/1.28 exact (zenon_H40 zenon_H3c). % 1.07/1.28 apply (zenon_or_s _ _ zenon_H37); [ zenon_intro zenon_H3a | zenon_intro zenon_H39 ]. % 1.07/1.28 exact (zenon_H3a zenon_H33). % 1.07/1.28 exact (zenon_H39 zenon_H34). % 1.07/1.28 (* end of lemma zenon_L48_ *) % 1.07/1.28 assert (zenon_L49_ : (forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44)))))) -> (ndr1_0) -> (~(c1_1 (a31))) -> (forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))) -> (c0_1 (a31)) -> (c2_1 (a31)) -> False). % 1.07/1.28 do 0 intro. intros zenon_Had zenon_H1a zenon_H32 zenon_Hcd zenon_H3c zenon_H33. % 1.07/1.28 generalize (zenon_Had (a31)). zenon_intro zenon_Hd0. % 1.07/1.28 apply (zenon_imply_s _ _ zenon_Hd0); [ zenon_intro zenon_H19 | zenon_intro zenon_Hd1 ]. % 1.07/1.28 exact (zenon_H19 zenon_H1a). % 1.07/1.28 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_H38 | zenon_intro zenon_Hd2 ]. % 1.07/1.28 exact (zenon_H32 zenon_H38). % 1.07/1.28 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_H34 | zenon_intro zenon_H3a ]. % 1.07/1.28 apply (zenon_L48_); trivial. % 1.07/1.28 exact (zenon_H3a zenon_H33). % 1.07/1.28 (* end of lemma zenon_L49_ *) % 1.07/1.28 assert (zenon_L50_ : ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(hskp7)) -> (~(hskp7)) -> (c2_1 (a31)) -> (c0_1 (a31)) -> (forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))) -> (~(c1_1 (a31))) -> (ndr1_0) -> False). % 1.07/1.28 do 0 intro. intros zenon_Hb7 zenon_H1 zenon_H33 zenon_H3c zenon_Hcd zenon_H32 zenon_H1a. % 1.07/1.28 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_Had | zenon_intro zenon_H2 ]. % 1.07/1.28 apply (zenon_L49_); trivial. % 1.07/1.28 exact (zenon_H1 zenon_H2). % 1.07/1.28 (* end of lemma zenon_L50_ *) % 1.07/1.28 assert (zenon_L51_ : ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(c1_1 (a31))) -> (c0_1 (a31)) -> (c2_1 (a31)) -> (~(hskp7)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(hskp7)) -> (c2_1 (a18)) -> (~(c3_1 (a18))) -> (forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22)))))) -> (ndr1_0) -> False). % 1.07/1.28 do 0 intro. intros zenon_Hd3 zenon_H32 zenon_H3c zenon_H33 zenon_H1 zenon_Hb7 zenon_Hc2 zenon_Hc1 zenon_Hc0 zenon_H1a. % 1.07/1.28 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_Had | zenon_intro zenon_Hcd ]. % 1.07/1.28 apply (zenon_L47_); trivial. % 1.07/1.28 apply (zenon_L50_); trivial. % 1.07/1.28 (* end of lemma zenon_L51_ *) % 1.07/1.28 assert (zenon_L52_ : (~(hskp5)) -> (hskp5) -> False). % 1.07/1.28 do 0 intro. intros zenon_Hd4 zenon_Hd5. % 1.07/1.28 exact (zenon_Hd4 zenon_Hd5). % 1.07/1.28 (* end of lemma zenon_L52_ *) % 1.07/1.28 assert (zenon_L53_ : (forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))) -> (ndr1_0) -> (forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1)))))) -> (c1_1 (a3)) -> (c2_1 (a3)) -> (c3_1 (a3)) -> False). % 1.07/1.28 do 0 intro. intros zenon_Hcd zenon_H1a zenon_Hd6 zenon_H1d zenon_H1e zenon_H1f. % 1.07/1.28 generalize (zenon_Hcd (a3)). zenon_intro zenon_Hd7. % 1.07/1.28 apply (zenon_imply_s _ _ zenon_Hd7); [ zenon_intro zenon_H19 | zenon_intro zenon_Hd8 ]. % 1.07/1.28 exact (zenon_H19 zenon_H1a). % 1.07/1.28 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H27 | zenon_intro zenon_Hd9 ]. % 1.07/1.28 generalize (zenon_Hd6 (a3)). zenon_intro zenon_Hda. % 1.07/1.28 apply (zenon_imply_s _ _ zenon_Hda); [ zenon_intro zenon_H19 | zenon_intro zenon_Hdb ]. % 1.07/1.28 exact (zenon_H19 zenon_H1a). % 1.07/1.28 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_H23 | zenon_intro zenon_H26 ]. % 1.07/1.28 exact (zenon_H27 zenon_H23). % 1.07/1.28 apply (zenon_or_s _ _ zenon_H26); [ zenon_intro zenon_H29 | zenon_intro zenon_H28 ]. % 1.07/1.28 exact (zenon_H29 zenon_H1d). % 1.07/1.28 exact (zenon_H28 zenon_H1e). % 1.07/1.28 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H28 | zenon_intro zenon_H2a ]. % 1.07/1.28 exact (zenon_H28 zenon_H1e). % 1.07/1.28 exact (zenon_H2a zenon_H1f). % 1.07/1.28 (* end of lemma zenon_L53_ *) % 1.07/1.28 assert (zenon_L54_ : ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (c3_1 (a3)) -> (c2_1 (a3)) -> (c1_1 (a3)) -> (forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1)))))) -> (c2_1 (a18)) -> (~(c3_1 (a18))) -> (forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22)))))) -> (ndr1_0) -> False). % 1.07/1.28 do 0 intro. intros zenon_Hd3 zenon_H1f zenon_H1e zenon_H1d zenon_Hd6 zenon_Hc2 zenon_Hc1 zenon_Hc0 zenon_H1a. % 1.07/1.28 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_Had | zenon_intro zenon_Hcd ]. % 1.07/1.28 apply (zenon_L47_); trivial. % 1.07/1.28 apply (zenon_L53_); trivial. % 1.07/1.28 (* end of lemma zenon_L54_ *) % 1.07/1.28 assert (zenon_L55_ : ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp5))) -> (~(c3_1 (a22))) -> (~(c2_1 (a22))) -> (~(c0_1 (a22))) -> (forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z))))) -> (ndr1_0) -> (~(c3_1 (a18))) -> (c2_1 (a18)) -> (forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1)))))) -> (c1_1 (a3)) -> (c2_1 (a3)) -> (c3_1 (a3)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(hskp5)) -> False). % 1.07/1.28 do 0 intro. intros zenon_Hdc zenon_H81 zenon_H89 zenon_H80 zenon_Hb8 zenon_H1a zenon_Hc1 zenon_Hc2 zenon_Hd6 zenon_H1d zenon_H1e zenon_H1f zenon_Hd3 zenon_Hd4. % 1.07/1.28 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hdd ]. % 1.07/1.28 apply (zenon_L46_); trivial. % 1.07/1.28 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hd5 ]. % 1.07/1.28 apply (zenon_L54_); trivial. % 1.07/1.28 exact (zenon_Hd4 zenon_Hd5). % 1.07/1.28 (* end of lemma zenon_L55_ *) % 1.07/1.28 assert (zenon_L56_ : (forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44)))))) -> (ndr1_0) -> (~(c1_1 (a31))) -> (forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))) -> (c2_1 (a31)) -> False). % 1.07/1.28 do 0 intro. intros zenon_Had zenon_H1a zenon_H32 zenon_H31 zenon_H33. % 1.07/1.28 generalize (zenon_Had (a31)). zenon_intro zenon_Hd0. % 1.07/1.28 apply (zenon_imply_s _ _ zenon_Hd0); [ zenon_intro zenon_H19 | zenon_intro zenon_Hd1 ]. % 1.07/1.28 exact (zenon_H19 zenon_H1a). % 1.07/1.28 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_H38 | zenon_intro zenon_Hd2 ]. % 1.07/1.28 exact (zenon_H32 zenon_H38). % 1.07/1.28 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_H34 | zenon_intro zenon_H3a ]. % 1.07/1.28 apply (zenon_L18_); trivial. % 1.07/1.28 exact (zenon_H3a zenon_H33). % 1.07/1.28 (* end of lemma zenon_L56_ *) % 1.07/1.28 assert (zenon_L57_ : ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (c3_1 (a3)) -> (c2_1 (a3)) -> (c1_1 (a3)) -> (forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1)))))) -> (c2_1 (a31)) -> (forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))) -> (~(c1_1 (a31))) -> (ndr1_0) -> False). % 1.07/1.28 do 0 intro. intros zenon_Hd3 zenon_H1f zenon_H1e zenon_H1d zenon_Hd6 zenon_H33 zenon_H31 zenon_H32 zenon_H1a. % 1.07/1.28 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_Had | zenon_intro zenon_Hcd ]. % 1.07/1.28 apply (zenon_L56_); trivial. % 1.07/1.28 apply (zenon_L53_); trivial. % 1.07/1.28 (* end of lemma zenon_L57_ *) % 1.07/1.28 assert (zenon_L58_ : (~(hskp1)) -> (hskp1) -> False). % 1.07/1.28 do 0 intro. intros zenon_Hde zenon_Hdf. % 1.07/1.28 exact (zenon_Hde zenon_Hdf). % 1.07/1.28 (* end of lemma zenon_L58_ *) % 1.07/1.28 assert (zenon_L59_ : (forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37)))))) -> (ndr1_0) -> (~(c3_1 (a18))) -> (c0_1 (a18)) -> (c2_1 (a18)) -> False). % 1.07/1.28 do 0 intro. intros zenon_H8e zenon_H1a zenon_Hc1 zenon_He0 zenon_Hc2. % 1.07/1.28 generalize (zenon_H8e (a18)). zenon_intro zenon_He1. % 1.07/1.28 apply (zenon_imply_s _ _ zenon_He1); [ zenon_intro zenon_H19 | zenon_intro zenon_He2 ]. % 1.07/1.28 exact (zenon_H19 zenon_H1a). % 1.07/1.28 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_Hca | zenon_intro zenon_He3 ]. % 1.07/1.28 exact (zenon_Hc1 zenon_Hca). % 1.07/1.28 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_He4 | zenon_intro zenon_Hcb ]. % 1.07/1.28 exact (zenon_He4 zenon_He0). % 1.07/1.28 exact (zenon_Hcb zenon_Hc2). % 1.07/1.28 (* end of lemma zenon_L59_ *) % 1.07/1.28 assert (zenon_L60_ : ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (c3_1 (a53)) -> (~(c1_1 (a53))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c0_1 (a53))) -> (c2_1 (a18)) -> (c0_1 (a18)) -> (~(c3_1 (a18))) -> (ndr1_0) -> (~(hskp11)) -> False). % 1.07/1.28 do 0 intro. intros zenon_H93 zenon_H4d zenon_H4c zenon_H4b zenon_H4a zenon_Hc2 zenon_He0 zenon_Hc1 zenon_H1a zenon_H91. % 1.07/1.28 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H49 | zenon_intro zenon_H94 ]. % 1.07/1.28 apply (zenon_L22_); trivial. % 1.07/1.28 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H8e | zenon_intro zenon_H92 ]. % 1.07/1.28 apply (zenon_L59_); trivial. % 1.07/1.28 exact (zenon_H91 zenon_H92). % 1.07/1.28 (* end of lemma zenon_L60_ *) % 1.07/1.28 assert (zenon_L61_ : ((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(hskp0))) -> (~(hskp11)) -> (~(c3_1 (a18))) -> (c0_1 (a18)) -> (c2_1 (a18)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (c2_1 (a31)) -> (c0_1 (a31)) -> (~(c1_1 (a31))) -> (~(hskp0)) -> False). % 1.07/1.28 do 0 intro. intros zenon_Ha1 zenon_H63 zenon_H91 zenon_Hc1 zenon_He0 zenon_Hc2 zenon_H93 zenon_H33 zenon_H3c zenon_H32 zenon_H15. % 1.07/1.28 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H1a. zenon_intro zenon_Ha2. % 1.07/1.28 apply (zenon_and_s _ _ zenon_Ha2). zenon_intro zenon_H4d. zenon_intro zenon_Ha3. % 1.07/1.28 apply (zenon_and_s _ _ zenon_Ha3). zenon_intro zenon_H4a. zenon_intro zenon_H4c. % 1.07/1.28 apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H4b | zenon_intro zenon_H64 ]. % 1.07/1.28 apply (zenon_L60_); trivial. % 1.07/1.28 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H5f | zenon_intro zenon_H16 ]. % 1.07/1.28 apply (zenon_L26_); trivial. % 1.07/1.28 exact (zenon_H15 zenon_H16). % 1.07/1.28 (* end of lemma zenon_L61_ *) % 1.07/1.28 assert (zenon_L62_ : ((ndr1_0)/\((c2_1 (a19))/\((~(c1_1 (a19)))/\(~(c3_1 (a19)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(hskp7)) -> (~(hskp7)) -> False). % 1.07/1.28 do 0 intro. intros zenon_He5 zenon_Hb7 zenon_H1. % 1.07/1.28 apply (zenon_and_s _ _ zenon_He5). zenon_intro zenon_H1a. zenon_intro zenon_He6. % 1.07/1.28 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_Hb0. zenon_intro zenon_He7. % 1.07/1.28 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hae. zenon_intro zenon_Haf. % 1.07/1.28 apply (zenon_L45_); trivial. % 1.07/1.28 (* end of lemma zenon_L62_ *) % 1.07/1.28 assert (zenon_L63_ : (forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48)))))) -> (ndr1_0) -> (~(c2_1 (a16))) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> False). % 1.07/1.28 do 0 intro. intros zenon_He8 zenon_H1a zenon_He9 zenon_Hea zenon_Heb. % 1.07/1.28 generalize (zenon_He8 (a16)). zenon_intro zenon_Hec. % 1.07/1.28 apply (zenon_imply_s _ _ zenon_Hec); [ zenon_intro zenon_H19 | zenon_intro zenon_Hed ]. % 1.07/1.28 exact (zenon_H19 zenon_H1a). % 1.07/1.28 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_Hef | zenon_intro zenon_Hee ]. % 1.07/1.28 exact (zenon_He9 zenon_Hef). % 1.07/1.28 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_Hf1 | zenon_intro zenon_Hf0 ]. % 1.07/1.28 exact (zenon_Hea zenon_Hf1). % 1.07/1.28 exact (zenon_Hf0 zenon_Heb). % 1.07/1.28 (* end of lemma zenon_L63_ *) % 1.07/1.28 assert (zenon_L64_ : (forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14)))))) -> (ndr1_0) -> (forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11)))))) -> (~(c2_1 (a16))) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> False). % 1.07/1.28 do 0 intro. intros zenon_Hf2 zenon_H1a zenon_Hf3 zenon_He9 zenon_Hea zenon_Heb. % 1.07/1.28 generalize (zenon_Hf2 (a16)). zenon_intro zenon_Hf4. % 1.07/1.28 apply (zenon_imply_s _ _ zenon_Hf4); [ zenon_intro zenon_H19 | zenon_intro zenon_Hf5 ]. % 1.07/1.28 exact (zenon_H19 zenon_H1a). % 1.07/1.28 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_Hf7 | zenon_intro zenon_Hf6 ]. % 1.07/1.28 generalize (zenon_Hf3 (a16)). zenon_intro zenon_Hf8. % 1.07/1.28 apply (zenon_imply_s _ _ zenon_Hf8); [ zenon_intro zenon_H19 | zenon_intro zenon_Hf9 ]. % 1.07/1.28 exact (zenon_H19 zenon_H1a). % 1.07/1.28 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_Hef | zenon_intro zenon_Hfa ]. % 1.07/1.28 exact (zenon_He9 zenon_Hef). % 1.07/1.28 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Hf1 | zenon_intro zenon_Hfb ]. % 1.07/1.28 exact (zenon_Hea zenon_Hf1). % 1.07/1.28 exact (zenon_Hfb zenon_Hf7). % 1.07/1.28 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hef | zenon_intro zenon_Hf0 ]. % 1.07/1.28 exact (zenon_He9 zenon_Hef). % 1.07/1.28 exact (zenon_Hf0 zenon_Heb). % 1.07/1.28 (* end of lemma zenon_L64_ *) % 1.07/1.28 assert (zenon_L65_ : ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (~(c2_1 (a16))) -> (forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14)))))) -> (forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44)))))) -> (ndr1_0) -> (~(c1_1 (a31))) -> (c0_1 (a31)) -> (c2_1 (a31)) -> False). % 1.07/1.28 do 0 intro. intros zenon_Hfc zenon_Heb zenon_Hea zenon_He9 zenon_Hf2 zenon_Had zenon_H1a zenon_H32 zenon_H3c zenon_H33. % 1.07/1.28 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfd ]. % 1.07/1.28 apply (zenon_L63_); trivial. % 1.07/1.28 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hf3 | zenon_intro zenon_Hcd ]. % 1.07/1.28 apply (zenon_L64_); trivial. % 1.07/1.28 apply (zenon_L49_); trivial. % 1.07/1.28 (* end of lemma zenon_L65_ *) % 1.07/1.28 assert (zenon_L66_ : ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(hskp7)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(hskp7)) -> (ndr1_0) -> (~(c2_1 (a16))) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> (forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14)))))) -> (~(c1_1 (a31))) -> (c0_1 (a31)) -> (c2_1 (a31)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> False). % 1.07/1.28 do 0 intro. intros zenon_Hd3 zenon_H1 zenon_Hb7 zenon_H1a zenon_He9 zenon_Hea zenon_Heb zenon_Hf2 zenon_H32 zenon_H3c zenon_H33 zenon_Hfc. % 1.07/1.28 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_Had | zenon_intro zenon_Hcd ]. % 1.07/1.28 apply (zenon_L65_); trivial. % 1.07/1.28 apply (zenon_L50_); trivial. % 1.07/1.28 (* end of lemma zenon_L66_ *) % 1.07/1.28 assert (zenon_L67_ : (~(hskp2)) -> (hskp2) -> False). % 1.07/1.28 do 0 intro. intros zenon_Hfe zenon_Hff. % 1.07/1.28 exact (zenon_Hfe zenon_Hff). % 1.07/1.28 (* end of lemma zenon_L67_ *) % 1.07/1.28 assert (zenon_L68_ : (~(hskp14)) -> (hskp14) -> False). % 1.07/1.28 do 0 intro. intros zenon_H100 zenon_H101. % 1.07/1.28 exact (zenon_H100 zenon_H101). % 1.07/1.28 (* end of lemma zenon_L68_ *) % 1.07/1.28 assert (zenon_L69_ : (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6)))))) -> (ndr1_0) -> (~(c0_1 (a24))) -> (~(c1_1 (a24))) -> (c2_1 (a24)) -> False). % 1.07/1.28 do 0 intro. intros zenon_H65 zenon_H1a zenon_H102 zenon_H103 zenon_H104. % 1.07/1.28 generalize (zenon_H65 (a24)). zenon_intro zenon_H105. % 1.07/1.28 apply (zenon_imply_s _ _ zenon_H105); [ zenon_intro zenon_H19 | zenon_intro zenon_H106 ]. % 1.07/1.28 exact (zenon_H19 zenon_H1a). % 1.07/1.28 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H108 | zenon_intro zenon_H107 ]. % 1.07/1.28 exact (zenon_H102 zenon_H108). % 1.07/1.28 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H10a | zenon_intro zenon_H109 ]. % 1.07/1.28 exact (zenon_H103 zenon_H10a). % 1.07/1.28 exact (zenon_H109 zenon_H104). % 1.07/1.28 (* end of lemma zenon_L69_ *) % 1.07/1.28 assert (zenon_L70_ : (~(hskp3)) -> (hskp3) -> False). % 1.07/1.28 do 0 intro. intros zenon_H10b zenon_H10c. % 1.07/1.28 exact (zenon_H10b zenon_H10c). % 1.07/1.28 (* end of lemma zenon_L70_ *) % 1.07/1.28 assert (zenon_L71_ : ((ndr1_0)/\((c2_1 (a24))/\((~(c0_1 (a24)))/\(~(c1_1 (a24)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp2)\/(hskp3))) -> (~(hskp2)) -> (~(hskp3)) -> False). % 1.07/1.28 do 0 intro. intros zenon_H10d zenon_H10e zenon_Hfe zenon_H10b. % 1.07/1.28 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_H1a. zenon_intro zenon_H10f. % 1.07/1.28 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H104. zenon_intro zenon_H110. % 1.07/1.28 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_H102. zenon_intro zenon_H103. % 1.07/1.28 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_H65 | zenon_intro zenon_H111 ]. % 1.07/1.28 apply (zenon_L69_); trivial. % 1.07/1.28 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hff | zenon_intro zenon_H10c ]. % 1.07/1.28 exact (zenon_Hfe zenon_Hff). % 1.07/1.28 exact (zenon_H10b zenon_H10c). % 1.07/1.28 (* end of lemma zenon_L71_ *) % 1.07/1.28 assert (zenon_L72_ : ((~(hskp14))\/((ndr1_0)/\((c2_1 (a24))/\((~(c0_1 (a24)))/\(~(c1_1 (a24))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp2)\/(hskp3))) -> (~(hskp3)) -> ((hskp17)\/((hskp8)\/(hskp4))) -> (~(hskp4)) -> (~(hskp8)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(hskp7)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(hskp7)) -> (~(c2_1 (a16))) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(hskp2)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((hskp2)\/(hskp14))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> False). % 1.07/1.28 do 0 intro. intros zenon_H112 zenon_H10e zenon_H10b zenon_Hf zenon_Hd zenon_Hb zenon_Hd3 zenon_H1 zenon_Hb7 zenon_He9 zenon_Hea zenon_Heb zenon_Hfc zenon_Hfe zenon_H113 zenon_H9c. % 1.07/1.28 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_H100 | zenon_intro zenon_H10d ]. % 1.07/1.28 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.07/1.28 apply (zenon_L8_); trivial. % 1.07/1.28 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.07/1.28 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.07/1.28 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.07/1.28 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_Hf2 | zenon_intro zenon_H114 ]. % 1.07/1.28 apply (zenon_L66_); trivial. % 1.07/1.28 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hff | zenon_intro zenon_H101 ]. % 1.07/1.28 exact (zenon_Hfe zenon_Hff). % 1.07/1.28 exact (zenon_H100 zenon_H101). % 1.07/1.28 apply (zenon_L71_); trivial. % 1.07/1.28 (* end of lemma zenon_L72_ *) % 1.07/1.28 assert (zenon_L73_ : (forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14)))))) -> (ndr1_0) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (c0_1 (a15)) -> False). % 1.07/1.28 do 0 intro. intros zenon_Hf2 zenon_H1a zenon_H115 zenon_H116 zenon_H117. % 1.07/1.28 generalize (zenon_Hf2 (a15)). zenon_intro zenon_H118. % 1.07/1.28 apply (zenon_imply_s _ _ zenon_H118); [ zenon_intro zenon_H19 | zenon_intro zenon_H119 ]. % 1.07/1.28 exact (zenon_H19 zenon_H1a). % 1.07/1.28 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H11b | zenon_intro zenon_H11a ]. % 1.07/1.28 exact (zenon_H115 zenon_H11b). % 1.07/1.28 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H11d | zenon_intro zenon_H11c ]. % 1.07/1.28 exact (zenon_H116 zenon_H11d). % 1.07/1.28 exact (zenon_H11c zenon_H117). % 1.07/1.28 (* end of lemma zenon_L73_ *) % 1.07/1.28 assert (zenon_L74_ : ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((hskp2)\/(hskp14))) -> (c0_1 (a15)) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> (ndr1_0) -> (~(hskp2)) -> (~(hskp14)) -> False). % 1.07/1.28 do 0 intro. intros zenon_H113 zenon_H117 zenon_H116 zenon_H115 zenon_H1a zenon_Hfe zenon_H100. % 1.07/1.28 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_Hf2 | zenon_intro zenon_H114 ]. % 1.07/1.28 apply (zenon_L73_); trivial. % 1.07/1.28 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hff | zenon_intro zenon_H101 ]. % 1.07/1.28 exact (zenon_Hfe zenon_Hff). % 1.07/1.28 exact (zenon_H100 zenon_H101). % 1.07/1.28 (* end of lemma zenon_L74_ *) % 1.07/1.28 assert (zenon_L75_ : ((~(hskp14))\/((ndr1_0)/\((c2_1 (a24))/\((~(c0_1 (a24)))/\(~(c1_1 (a24))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp2)\/(hskp3))) -> (~(hskp3)) -> (ndr1_0) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (c0_1 (a15)) -> (~(hskp2)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((hskp2)\/(hskp14))) -> False). % 1.07/1.28 do 0 intro. intros zenon_H112 zenon_H10e zenon_H10b zenon_H1a zenon_H115 zenon_H116 zenon_H117 zenon_Hfe zenon_H113. % 1.07/1.28 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_H100 | zenon_intro zenon_H10d ]. % 1.07/1.28 apply (zenon_L74_); trivial. % 1.07/1.28 apply (zenon_L71_); trivial. % 1.07/1.28 (* end of lemma zenon_L75_ *) % 1.07/1.28 assert (zenon_L76_ : (forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43)))))) -> (ndr1_0) -> (~(c2_1 (a14))) -> (c0_1 (a14)) -> (c3_1 (a14)) -> False). % 1.07/1.28 do 0 intro. intros zenon_H11e zenon_H1a zenon_H11f zenon_H120 zenon_H121. % 1.07/1.28 generalize (zenon_H11e (a14)). zenon_intro zenon_H122. % 1.07/1.28 apply (zenon_imply_s _ _ zenon_H122); [ zenon_intro zenon_H19 | zenon_intro zenon_H123 ]. % 1.07/1.28 exact (zenon_H19 zenon_H1a). % 1.07/1.28 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_H125 | zenon_intro zenon_H124 ]. % 1.07/1.28 exact (zenon_H11f zenon_H125). % 1.07/1.28 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H127 | zenon_intro zenon_H126 ]. % 1.07/1.28 exact (zenon_H127 zenon_H120). % 1.07/1.28 exact (zenon_H126 zenon_H121). % 1.07/1.28 (* end of lemma zenon_L76_ *) % 1.07/1.28 assert (zenon_L77_ : (~(hskp18)) -> (hskp18) -> False). % 1.07/1.28 do 0 intro. intros zenon_H128 zenon_H129. % 1.07/1.28 exact (zenon_H128 zenon_H129). % 1.07/1.28 (* end of lemma zenon_L77_ *) % 1.07/1.28 assert (zenon_L78_ : ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> (c3_1 (a14)) -> (c0_1 (a14)) -> (~(c2_1 (a14))) -> (ndr1_0) -> (~(hskp17)) -> (~(hskp18)) -> False). % 1.07/1.28 do 0 intro. intros zenon_H12a zenon_H121 zenon_H120 zenon_H11f zenon_H1a zenon_H9 zenon_H128. % 1.07/1.28 apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_H11e | zenon_intro zenon_H12b ]. % 1.07/1.28 apply (zenon_L76_); trivial. % 1.07/1.28 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_Ha | zenon_intro zenon_H129 ]. % 1.07/1.28 exact (zenon_H9 zenon_Ha). % 1.07/1.28 exact (zenon_H128 zenon_H129). % 1.07/1.28 (* end of lemma zenon_L78_ *) % 1.07/1.28 assert (zenon_L79_ : (~(hskp25)) -> (hskp25) -> False). % 1.07/1.28 do 0 intro. intros zenon_H12c zenon_H12d. % 1.07/1.28 exact (zenon_H12c zenon_H12d). % 1.07/1.28 (* end of lemma zenon_L79_ *) % 1.07/1.28 assert (zenon_L80_ : (~(hskp21)) -> (hskp21) -> False). % 1.07/1.28 do 0 intro. intros zenon_H12e zenon_H12f. % 1.07/1.28 exact (zenon_H12e zenon_H12f). % 1.07/1.28 (* end of lemma zenon_L80_ *) % 1.07/1.28 assert (zenon_L81_ : ((hskp25)\/((hskp17)\/(hskp21))) -> (~(hskp25)) -> (~(hskp17)) -> (~(hskp21)) -> False). % 1.07/1.28 do 0 intro. intros zenon_H130 zenon_H12c zenon_H9 zenon_H12e. % 1.07/1.28 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_H12d | zenon_intro zenon_H131 ]. % 1.07/1.28 exact (zenon_H12c zenon_H12d). % 1.07/1.28 apply (zenon_or_s _ _ zenon_H131); [ zenon_intro zenon_Ha | zenon_intro zenon_H12f ]. % 1.07/1.28 exact (zenon_H9 zenon_Ha). % 1.07/1.28 exact (zenon_H12e zenon_H12f). % 1.07/1.28 (* end of lemma zenon_L81_ *) % 1.07/1.28 assert (zenon_L82_ : (forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))) -> (ndr1_0) -> (~(c2_1 (a14))) -> (forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42)))))) -> (c3_1 (a14)) -> False). % 1.07/1.28 do 0 intro. intros zenon_H6d zenon_H1a zenon_H11f zenon_H132 zenon_H121. % 1.07/1.28 generalize (zenon_H6d (a14)). zenon_intro zenon_H133. % 1.07/1.28 apply (zenon_imply_s _ _ zenon_H133); [ zenon_intro zenon_H19 | zenon_intro zenon_H134 ]. % 1.07/1.28 exact (zenon_H19 zenon_H1a). % 1.07/1.28 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H125 | zenon_intro zenon_H135 ]. % 1.07/1.28 exact (zenon_H11f zenon_H125). % 1.07/1.28 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H136 | zenon_intro zenon_H126 ]. % 1.07/1.28 generalize (zenon_H132 (a14)). zenon_intro zenon_H137. % 1.07/1.28 apply (zenon_imply_s _ _ zenon_H137); [ zenon_intro zenon_H19 | zenon_intro zenon_H138 ]. % 1.07/1.28 exact (zenon_H19 zenon_H1a). % 1.07/1.28 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H13a | zenon_intro zenon_H139 ]. % 1.07/1.28 exact (zenon_H136 zenon_H13a). % 1.07/1.28 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H125 | zenon_intro zenon_H126 ]. % 1.07/1.28 exact (zenon_H11f zenon_H125). % 1.07/1.28 exact (zenon_H126 zenon_H121). % 1.07/1.28 exact (zenon_H126 zenon_H121). % 1.07/1.29 (* end of lemma zenon_L82_ *) % 1.07/1.29 assert (zenon_L83_ : (forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))) -> (ndr1_0) -> (c0_1 (a9)) -> (c1_1 (a9)) -> (c2_1 (a9)) -> False). % 1.07/1.29 do 0 intro. intros zenon_H1c zenon_H1a zenon_H13b zenon_H13c zenon_H13d. % 1.07/1.29 generalize (zenon_H1c (a9)). zenon_intro zenon_H13e. % 1.07/1.29 apply (zenon_imply_s _ _ zenon_H13e); [ zenon_intro zenon_H19 | zenon_intro zenon_H13f ]. % 1.07/1.29 exact (zenon_H19 zenon_H1a). % 1.07/1.29 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H141 | zenon_intro zenon_H140 ]. % 1.07/1.29 exact (zenon_H141 zenon_H13b). % 1.07/1.29 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H143 | zenon_intro zenon_H142 ]. % 1.07/1.29 exact (zenon_H143 zenon_H13c). % 1.07/1.29 exact (zenon_H142 zenon_H13d). % 1.07/1.29 (* end of lemma zenon_L83_ *) % 1.07/1.29 assert (zenon_L84_ : (~(hskp19)) -> (hskp19) -> False). % 1.07/1.29 do 0 intro. intros zenon_H144 zenon_H145. % 1.07/1.29 exact (zenon_H144 zenon_H145). % 1.07/1.29 (* end of lemma zenon_L84_ *) % 1.07/1.29 assert (zenon_L85_ : (~(hskp15)) -> (hskp15) -> False). % 1.07/1.29 do 0 intro. intros zenon_H146 zenon_H147. % 1.07/1.29 exact (zenon_H146 zenon_H147). % 1.07/1.29 (* end of lemma zenon_L85_ *) % 1.07/1.29 assert (zenon_L86_ : ((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (~(hskp19)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c3_1 (a14)) -> (c0_1 (a14)) -> (~(c2_1 (a14))) -> (~(hskp15)) -> False). % 1.07/1.29 do 0 intro. intros zenon_H148 zenon_H149 zenon_H144 zenon_H14a zenon_H121 zenon_H120 zenon_H11f zenon_H146. % 1.07/1.29 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H1a. zenon_intro zenon_H14b. % 1.07/1.29 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H13b. zenon_intro zenon_H14c. % 1.07/1.29 apply (zenon_and_s _ _ zenon_H14c). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H132 | zenon_intro zenon_H14d ]. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_H6d | zenon_intro zenon_H14e ]. % 1.07/1.29 apply (zenon_L82_); trivial. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H1c | zenon_intro zenon_H145 ]. % 1.07/1.29 apply (zenon_L83_); trivial. % 1.07/1.29 exact (zenon_H144 zenon_H145). % 1.07/1.29 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H11e | zenon_intro zenon_H147 ]. % 1.07/1.29 apply (zenon_L76_); trivial. % 1.07/1.29 exact (zenon_H146 zenon_H147). % 1.07/1.29 (* end of lemma zenon_L86_ *) % 1.07/1.29 assert (zenon_L87_ : (forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z))))) -> (ndr1_0) -> (~(c0_1 (a32))) -> (~(c1_1 (a32))) -> (~(c3_1 (a32))) -> False). % 1.07/1.29 do 0 intro. intros zenon_Hb8 zenon_H1a zenon_H14f zenon_H150 zenon_H151. % 1.07/1.29 generalize (zenon_Hb8 (a32)). zenon_intro zenon_H152. % 1.07/1.29 apply (zenon_imply_s _ _ zenon_H152); [ zenon_intro zenon_H19 | zenon_intro zenon_H153 ]. % 1.07/1.29 exact (zenon_H19 zenon_H1a). % 1.07/1.29 apply (zenon_or_s _ _ zenon_H153); [ zenon_intro zenon_H155 | zenon_intro zenon_H154 ]. % 1.07/1.29 exact (zenon_H14f zenon_H155). % 1.07/1.29 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H157 | zenon_intro zenon_H156 ]. % 1.07/1.29 exact (zenon_H150 zenon_H157). % 1.07/1.29 exact (zenon_H151 zenon_H156). % 1.07/1.29 (* end of lemma zenon_L87_ *) % 1.07/1.29 assert (zenon_L88_ : (forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))) -> (ndr1_0) -> (~(c1_1 (a42))) -> (c2_1 (a42)) -> (c3_1 (a42)) -> False). % 1.07/1.29 do 0 intro. intros zenon_H31 zenon_H1a zenon_H158 zenon_H159 zenon_H15a. % 1.07/1.29 generalize (zenon_H31 (a42)). zenon_intro zenon_H15b. % 1.07/1.29 apply (zenon_imply_s _ _ zenon_H15b); [ zenon_intro zenon_H19 | zenon_intro zenon_H15c ]. % 1.07/1.29 exact (zenon_H19 zenon_H1a). % 1.07/1.29 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_H15e | zenon_intro zenon_H15d ]. % 1.07/1.29 exact (zenon_H158 zenon_H15e). % 1.07/1.29 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H160 | zenon_intro zenon_H15f ]. % 1.07/1.29 exact (zenon_H160 zenon_H159). % 1.07/1.29 exact (zenon_H15f zenon_H15a). % 1.07/1.29 (* end of lemma zenon_L88_ *) % 1.07/1.29 assert (zenon_L89_ : ((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> (~(c3_1 (a32))) -> (~(c1_1 (a32))) -> (~(c0_1 (a32))) -> (~(hskp1)) -> False). % 1.07/1.29 do 0 intro. intros zenon_H161 zenon_H162 zenon_H151 zenon_H150 zenon_H14f zenon_Hde. % 1.07/1.29 apply (zenon_and_s _ _ zenon_H161). zenon_intro zenon_H1a. zenon_intro zenon_H163. % 1.07/1.29 apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H159. zenon_intro zenon_H164. % 1.07/1.29 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H15a. zenon_intro zenon_H158. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H165 ]. % 1.07/1.29 apply (zenon_L87_); trivial. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H31 | zenon_intro zenon_Hdf ]. % 1.07/1.29 apply (zenon_L88_); trivial. % 1.07/1.29 exact (zenon_Hde zenon_Hdf). % 1.07/1.29 (* end of lemma zenon_L89_ *) % 1.07/1.29 assert (zenon_L90_ : ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> (~(hskp1)) -> (~(c3_1 (a32))) -> (~(c1_1 (a32))) -> (~(c0_1 (a32))) -> ((hskp25)\/((hskp17)\/(hskp21))) -> (~(hskp17)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp19)) -> (c3_1 (a14)) -> (~(c2_1 (a14))) -> (c0_1 (a14)) -> (~(hskp15)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> False). % 1.07/1.29 do 0 intro. intros zenon_H166 zenon_H162 zenon_Hde zenon_H151 zenon_H150 zenon_H14f zenon_H130 zenon_H9 zenon_H14a zenon_H144 zenon_H121 zenon_H11f zenon_H120 zenon_H146 zenon_H149 zenon_H167. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H12e | zenon_intro zenon_H161 ]. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H12c | zenon_intro zenon_H148 ]. % 1.07/1.29 apply (zenon_L81_); trivial. % 1.07/1.29 apply (zenon_L86_); trivial. % 1.07/1.29 apply (zenon_L89_); trivial. % 1.07/1.29 (* end of lemma zenon_L90_ *) % 1.07/1.29 assert (zenon_L91_ : (forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1)))))) -> (ndr1_0) -> (~(c0_1 (a33))) -> (c1_1 (a33)) -> (c2_1 (a33)) -> False). % 1.07/1.29 do 0 intro. intros zenon_Hd6 zenon_H1a zenon_H168 zenon_H169 zenon_H16a. % 1.07/1.29 generalize (zenon_Hd6 (a33)). zenon_intro zenon_H16b. % 1.07/1.29 apply (zenon_imply_s _ _ zenon_H16b); [ zenon_intro zenon_H19 | zenon_intro zenon_H16c ]. % 1.07/1.29 exact (zenon_H19 zenon_H1a). % 1.07/1.29 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H16e | zenon_intro zenon_H16d ]. % 1.07/1.29 exact (zenon_H168 zenon_H16e). % 1.07/1.29 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H170 | zenon_intro zenon_H16f ]. % 1.07/1.29 exact (zenon_H170 zenon_H169). % 1.07/1.29 exact (zenon_H16f zenon_H16a). % 1.07/1.29 (* end of lemma zenon_L91_ *) % 1.07/1.29 assert (zenon_L92_ : (forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))) -> (ndr1_0) -> (forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1)))))) -> (~(c0_1 (a33))) -> (c2_1 (a33)) -> (c3_1 (a33)) -> False). % 1.07/1.29 do 0 intro. intros zenon_H31 zenon_H1a zenon_Hd6 zenon_H168 zenon_H16a zenon_H171. % 1.07/1.29 generalize (zenon_H31 (a33)). zenon_intro zenon_H172. % 1.07/1.29 apply (zenon_imply_s _ _ zenon_H172); [ zenon_intro zenon_H19 | zenon_intro zenon_H173 ]. % 1.07/1.29 exact (zenon_H19 zenon_H1a). % 1.07/1.29 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H169 | zenon_intro zenon_H174 ]. % 1.07/1.29 apply (zenon_L91_); trivial. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H16f | zenon_intro zenon_H175 ]. % 1.07/1.29 exact (zenon_H16f zenon_H16a). % 1.07/1.29 exact (zenon_H175 zenon_H171). % 1.07/1.29 (* end of lemma zenon_L92_ *) % 1.07/1.29 assert (zenon_L93_ : ((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> (~(hskp1)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> (~(c3_1 (a32))) -> (~(c1_1 (a32))) -> (~(c0_1 (a32))) -> False). % 1.07/1.29 do 0 intro. intros zenon_H176 zenon_H177 zenon_Hde zenon_H162 zenon_H151 zenon_H150 zenon_H14f. % 1.07/1.29 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1a. zenon_intro zenon_H178. % 1.07/1.29 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H16a. zenon_intro zenon_H179. % 1.07/1.29 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H171. zenon_intro zenon_H168. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hd6 ]. % 1.07/1.29 apply (zenon_L87_); trivial. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H165 ]. % 1.07/1.29 apply (zenon_L87_); trivial. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H31 | zenon_intro zenon_Hdf ]. % 1.07/1.29 apply (zenon_L92_); trivial. % 1.07/1.29 exact (zenon_Hde zenon_Hdf). % 1.07/1.29 (* end of lemma zenon_L93_ *) % 1.07/1.29 assert (zenon_L94_ : ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((hskp25)\/((hskp17)\/(hskp21))) -> (~(hskp1)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> (ndr1_0) -> (~(c2_1 (a14))) -> (c0_1 (a14)) -> (c3_1 (a14)) -> (~(hskp17)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> False). % 1.07/1.29 do 0 intro. intros zenon_H17a zenon_H17b zenon_H177 zenon_H167 zenon_H149 zenon_H146 zenon_H14a zenon_H130 zenon_Hde zenon_H162 zenon_H166 zenon_H1a zenon_H11f zenon_H120 zenon_H121 zenon_H9 zenon_H12a. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H128 | zenon_intro zenon_H17c ]. % 1.07/1.29 apply (zenon_L78_); trivial. % 1.07/1.29 apply (zenon_and_s _ _ zenon_H17c). zenon_intro zenon_H1a. zenon_intro zenon_H17d. % 1.07/1.29 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H14f. zenon_intro zenon_H17e. % 1.07/1.29 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_H150. zenon_intro zenon_H151. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.07/1.29 apply (zenon_L90_); trivial. % 1.07/1.29 apply (zenon_L93_); trivial. % 1.07/1.29 (* end of lemma zenon_L94_ *) % 1.07/1.29 assert (zenon_L95_ : ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c3_1 (a14)) -> (forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42)))))) -> (~(c2_1 (a14))) -> (c3_1 (a3)) -> (c2_1 (a3)) -> (c1_1 (a3)) -> (ndr1_0) -> (forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32)))))) -> (~(hskp19)) -> False). % 1.07/1.29 do 0 intro. intros zenon_H14a zenon_H121 zenon_H132 zenon_H11f zenon_H1f zenon_H1e zenon_H1d zenon_H1a zenon_H1b zenon_H144. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_H6d | zenon_intro zenon_H14e ]. % 1.07/1.29 apply (zenon_L82_); trivial. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H1c | zenon_intro zenon_H145 ]. % 1.07/1.29 apply (zenon_L14_); trivial. % 1.07/1.29 exact (zenon_H144 zenon_H145). % 1.07/1.29 (* end of lemma zenon_L95_ *) % 1.07/1.29 assert (zenon_L96_ : ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (~(hskp19)) -> (forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32)))))) -> (c1_1 (a3)) -> (c2_1 (a3)) -> (c3_1 (a3)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c3_1 (a14)) -> (c0_1 (a14)) -> (~(c2_1 (a14))) -> (ndr1_0) -> (~(hskp15)) -> False). % 1.07/1.29 do 0 intro. intros zenon_H149 zenon_H144 zenon_H1b zenon_H1d zenon_H1e zenon_H1f zenon_H14a zenon_H121 zenon_H120 zenon_H11f zenon_H1a zenon_H146. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H132 | zenon_intro zenon_H14d ]. % 1.07/1.29 apply (zenon_L95_); trivial. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H11e | zenon_intro zenon_H147 ]. % 1.07/1.29 apply (zenon_L76_); trivial. % 1.07/1.29 exact (zenon_H146 zenon_H147). % 1.07/1.29 (* end of lemma zenon_L96_ *) % 1.07/1.29 assert (zenon_L97_ : ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp15)) -> (~(c2_1 (a14))) -> (c0_1 (a14)) -> (c3_1 (a14)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c3_1 (a3)) -> (c2_1 (a3)) -> (c1_1 (a3)) -> (~(hskp19)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (c0_1 (a31)) -> (c2_1 (a31)) -> (~(c1_1 (a31))) -> (ndr1_0) -> (forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10)))))) -> (~(hskp10)) -> False). % 1.07/1.29 do 0 intro. intros zenon_H43 zenon_H146 zenon_H11f zenon_H120 zenon_H121 zenon_H14a zenon_H1f zenon_H1e zenon_H1d zenon_H144 zenon_H149 zenon_H3c zenon_H33 zenon_H32 zenon_H1a zenon_H3b zenon_H2d. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H43); [ zenon_intro zenon_H1b | zenon_intro zenon_H47 ]. % 1.07/1.29 apply (zenon_L96_); trivial. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H47); [ zenon_intro zenon_H31 | zenon_intro zenon_H2e ]. % 1.07/1.29 apply (zenon_L19_); trivial. % 1.07/1.29 exact (zenon_H2d zenon_H2e). % 1.07/1.29 (* end of lemma zenon_L97_ *) % 1.07/1.29 assert (zenon_L98_ : ((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> (~(hskp10)) -> (~(c1_1 (a31))) -> (c2_1 (a31)) -> (c0_1 (a31)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (~(hskp19)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c3_1 (a14)) -> (c0_1 (a14)) -> (~(c2_1 (a14))) -> (~(hskp15)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp4)) -> False). % 1.07/1.29 do 0 intro. intros zenon_H41 zenon_H42 zenon_H2d zenon_H32 zenon_H33 zenon_H3c zenon_H149 zenon_H144 zenon_H14a zenon_H121 zenon_H120 zenon_H11f zenon_H146 zenon_H43 zenon_Hd. % 1.07/1.29 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H1a. zenon_intro zenon_H44. % 1.07/1.29 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H1d. zenon_intro zenon_H45. % 1.07/1.29 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H1e. zenon_intro zenon_H1f. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H1b | zenon_intro zenon_H46 ]. % 1.07/1.29 apply (zenon_L96_); trivial. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_He ]. % 1.07/1.29 apply (zenon_L97_); trivial. % 1.07/1.29 exact (zenon_Hd zenon_He). % 1.07/1.29 (* end of lemma zenon_L98_ *) % 1.07/1.29 assert (zenon_L99_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> (~(hskp4)) -> (~(c1_1 (a31))) -> (c2_1 (a31)) -> (c0_1 (a31)) -> (~(hskp10)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp19)) -> (c3_1 (a14)) -> (~(c2_1 (a14))) -> (c0_1 (a14)) -> (~(hskp15)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (~(hskp23)) -> (~(hskp0)) -> ((hskp24)\/((hskp23)\/(hskp0))) -> False). % 1.07/1.29 do 0 intro. intros zenon_H48 zenon_H42 zenon_Hd zenon_H32 zenon_H33 zenon_H3c zenon_H2d zenon_H43 zenon_H14a zenon_H144 zenon_H121 zenon_H11f zenon_H120 zenon_H146 zenon_H149 zenon_H13 zenon_H15 zenon_H17. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H11 | zenon_intro zenon_H41 ]. % 1.07/1.29 apply (zenon_L12_); trivial. % 1.07/1.29 apply (zenon_L98_); trivial. % 1.07/1.29 (* end of lemma zenon_L99_ *) % 1.07/1.29 assert (zenon_L100_ : (forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42)))))) -> (ndr1_0) -> (~(c1_1 (a53))) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6)))))) -> (~(c0_1 (a53))) -> (c3_1 (a53)) -> False). % 1.07/1.29 do 0 intro. intros zenon_H132 zenon_H1a zenon_H4c zenon_H65 zenon_H4a zenon_H4d. % 1.07/1.29 generalize (zenon_H132 (a53)). zenon_intro zenon_H17f. % 1.07/1.29 apply (zenon_imply_s _ _ zenon_H17f); [ zenon_intro zenon_H19 | zenon_intro zenon_H180 ]. % 1.07/1.29 exact (zenon_H19 zenon_H1a). % 1.07/1.29 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H58 | zenon_intro zenon_H6c ]. % 1.07/1.29 exact (zenon_H4c zenon_H58). % 1.07/1.29 apply (zenon_or_s _ _ zenon_H6c); [ zenon_intro zenon_H57 | zenon_intro zenon_H52 ]. % 1.07/1.29 apply (zenon_L28_); trivial. % 1.07/1.29 exact (zenon_H52 zenon_H4d). % 1.07/1.29 (* end of lemma zenon_L100_ *) % 1.07/1.29 assert (zenon_L101_ : ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (c3_1 (a53)) -> (~(c0_1 (a53))) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6)))))) -> (~(c1_1 (a53))) -> (c3_1 (a14)) -> (c0_1 (a14)) -> (~(c2_1 (a14))) -> (ndr1_0) -> (~(hskp15)) -> False). % 1.07/1.29 do 0 intro. intros zenon_H149 zenon_H4d zenon_H4a zenon_H65 zenon_H4c zenon_H121 zenon_H120 zenon_H11f zenon_H1a zenon_H146. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H132 | zenon_intro zenon_H14d ]. % 1.07/1.29 apply (zenon_L100_); trivial. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H11e | zenon_intro zenon_H147 ]. % 1.07/1.29 apply (zenon_L76_); trivial. % 1.07/1.29 exact (zenon_H146 zenon_H147). % 1.07/1.29 (* end of lemma zenon_L101_ *) % 1.07/1.29 assert (zenon_L102_ : ((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp2)\/(hskp3))) -> (~(hskp15)) -> (~(c2_1 (a14))) -> (c0_1 (a14)) -> (c3_1 (a14)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (~(hskp2)) -> (~(hskp3)) -> False). % 1.07/1.29 do 0 intro. intros zenon_Ha1 zenon_H10e zenon_H146 zenon_H11f zenon_H120 zenon_H121 zenon_H149 zenon_Hfe zenon_H10b. % 1.07/1.29 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H1a. zenon_intro zenon_Ha2. % 1.07/1.29 apply (zenon_and_s _ _ zenon_Ha2). zenon_intro zenon_H4d. zenon_intro zenon_Ha3. % 1.07/1.29 apply (zenon_and_s _ _ zenon_Ha3). zenon_intro zenon_H4a. zenon_intro zenon_H4c. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_H65 | zenon_intro zenon_H111 ]. % 1.07/1.29 apply (zenon_L101_); trivial. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hff | zenon_intro zenon_H10c ]. % 1.07/1.29 exact (zenon_Hfe zenon_Hff). % 1.07/1.29 exact (zenon_H10b zenon_H10c). % 1.07/1.29 (* end of lemma zenon_L102_ *) % 1.07/1.29 assert (zenon_L103_ : ((~(hskp23))\/((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp2)\/(hskp3))) -> (~(hskp3)) -> (~(hskp2)) -> ((hskp24)\/((hskp23)\/(hskp0))) -> (~(hskp0)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (~(hskp15)) -> (c0_1 (a14)) -> (~(c2_1 (a14))) -> (c3_1 (a14)) -> (~(hskp19)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp10)) -> (c0_1 (a31)) -> (c2_1 (a31)) -> (~(c1_1 (a31))) -> (~(hskp4)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> False). % 1.07/1.29 do 0 intro. intros zenon_H9d zenon_H10e zenon_H10b zenon_Hfe zenon_H17 zenon_H15 zenon_H149 zenon_H146 zenon_H120 zenon_H11f zenon_H121 zenon_H144 zenon_H14a zenon_H43 zenon_H2d zenon_H3c zenon_H33 zenon_H32 zenon_Hd zenon_H42 zenon_H48. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H13 | zenon_intro zenon_Ha1 ]. % 1.07/1.29 apply (zenon_L99_); trivial. % 1.07/1.29 apply (zenon_L102_); trivial. % 1.07/1.29 (* end of lemma zenon_L103_ *) % 1.07/1.29 assert (zenon_L104_ : (forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32)))))) -> (ndr1_0) -> (~(c0_1 (a33))) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6)))))) -> (c2_1 (a33)) -> (c3_1 (a33)) -> False). % 1.07/1.29 do 0 intro. intros zenon_H1b zenon_H1a zenon_H168 zenon_H65 zenon_H16a zenon_H171. % 1.07/1.29 generalize (zenon_H1b (a33)). zenon_intro zenon_H181. % 1.07/1.29 apply (zenon_imply_s _ _ zenon_H181); [ zenon_intro zenon_H19 | zenon_intro zenon_H182 ]. % 1.07/1.29 exact (zenon_H19 zenon_H1a). % 1.07/1.29 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H16e | zenon_intro zenon_H183 ]. % 1.07/1.29 exact (zenon_H168 zenon_H16e). % 1.07/1.29 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H170 | zenon_intro zenon_H175 ]. % 1.07/1.29 generalize (zenon_H65 (a33)). zenon_intro zenon_H184. % 1.07/1.29 apply (zenon_imply_s _ _ zenon_H184); [ zenon_intro zenon_H19 | zenon_intro zenon_H185 ]. % 1.07/1.29 exact (zenon_H19 zenon_H1a). % 1.07/1.29 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H16e | zenon_intro zenon_H186 ]. % 1.07/1.29 exact (zenon_H168 zenon_H16e). % 1.07/1.29 apply (zenon_or_s _ _ zenon_H186); [ zenon_intro zenon_H169 | zenon_intro zenon_H16f ]. % 1.07/1.29 exact (zenon_H170 zenon_H169). % 1.07/1.29 exact (zenon_H16f zenon_H16a). % 1.07/1.29 exact (zenon_H175 zenon_H171). % 1.07/1.29 (* end of lemma zenon_L104_ *) % 1.07/1.29 assert (zenon_L105_ : (forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36)))))) -> (ndr1_0) -> (~(c0_1 (a33))) -> (c2_1 (a33)) -> (c3_1 (a33)) -> False). % 1.07/1.29 do 0 intro. intros zenon_H49 zenon_H1a zenon_H168 zenon_H16a zenon_H171. % 1.07/1.29 generalize (zenon_H49 (a33)). zenon_intro zenon_H187. % 1.07/1.29 apply (zenon_imply_s _ _ zenon_H187); [ zenon_intro zenon_H19 | zenon_intro zenon_H188 ]. % 1.07/1.29 exact (zenon_H19 zenon_H1a). % 1.07/1.29 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H16e | zenon_intro zenon_H174 ]. % 1.07/1.29 exact (zenon_H168 zenon_H16e). % 1.07/1.29 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H16f | zenon_intro zenon_H175 ]. % 1.07/1.29 exact (zenon_H16f zenon_H16a). % 1.07/1.29 exact (zenon_H175 zenon_H171). % 1.07/1.29 (* end of lemma zenon_L105_ *) % 1.07/1.29 assert (zenon_L106_ : ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (c3_1 (a33)) -> (c2_1 (a33)) -> (~(c0_1 (a33))) -> (c0_1 (a31)) -> (c2_1 (a31)) -> (~(c1_1 (a31))) -> (forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))) -> (ndr1_0) -> (~(hskp11)) -> False). % 1.07/1.29 do 0 intro. intros zenon_H93 zenon_H171 zenon_H16a zenon_H168 zenon_H3c zenon_H33 zenon_H32 zenon_H31 zenon_H1a zenon_H91. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H49 | zenon_intro zenon_H94 ]. % 1.07/1.29 apply (zenon_L105_); trivial. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H8e | zenon_intro zenon_H92 ]. % 1.07/1.29 apply (zenon_L35_); trivial. % 1.07/1.29 exact (zenon_H91 zenon_H92). % 1.07/1.29 (* end of lemma zenon_L106_ *) % 1.07/1.29 assert (zenon_L107_ : ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6)))))) -> (~(hskp11)) -> (ndr1_0) -> (~(c1_1 (a31))) -> (c2_1 (a31)) -> (c0_1 (a31)) -> (~(c0_1 (a33))) -> (c2_1 (a33)) -> (c3_1 (a33)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp10)) -> False). % 1.07/1.29 do 0 intro. intros zenon_H43 zenon_H65 zenon_H91 zenon_H1a zenon_H32 zenon_H33 zenon_H3c zenon_H168 zenon_H16a zenon_H171 zenon_H93 zenon_H2d. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H43); [ zenon_intro zenon_H1b | zenon_intro zenon_H47 ]. % 1.07/1.29 apply (zenon_L104_); trivial. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H47); [ zenon_intro zenon_H31 | zenon_intro zenon_H2e ]. % 1.07/1.29 apply (zenon_L106_); trivial. % 1.07/1.29 exact (zenon_H2d zenon_H2e). % 1.07/1.29 (* end of lemma zenon_L107_ *) % 1.07/1.29 assert (zenon_L108_ : ((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp2)\/(hskp3))) -> (~(hskp10)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (c0_1 (a31)) -> (c2_1 (a31)) -> (~(c1_1 (a31))) -> (~(hskp11)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp2)) -> (~(hskp3)) -> False). % 1.07/1.29 do 0 intro. intros zenon_H176 zenon_H10e zenon_H2d zenon_H93 zenon_H3c zenon_H33 zenon_H32 zenon_H91 zenon_H43 zenon_Hfe zenon_H10b. % 1.07/1.29 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1a. zenon_intro zenon_H178. % 1.07/1.29 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H16a. zenon_intro zenon_H179. % 1.07/1.29 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H171. zenon_intro zenon_H168. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_H65 | zenon_intro zenon_H111 ]. % 1.07/1.29 apply (zenon_L107_); trivial. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hff | zenon_intro zenon_H10c ]. % 1.07/1.29 exact (zenon_Hfe zenon_Hff). % 1.07/1.29 exact (zenon_H10b zenon_H10c). % 1.07/1.29 (* end of lemma zenon_L108_ *) % 1.07/1.29 assert (zenon_L109_ : (forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))) -> (ndr1_0) -> (~(c2_1 (a14))) -> (forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14)))))) -> (c0_1 (a14)) -> (c3_1 (a14)) -> False). % 1.07/1.29 do 0 intro. intros zenon_H6d zenon_H1a zenon_H11f zenon_Hf2 zenon_H120 zenon_H121. % 1.07/1.29 generalize (zenon_H6d (a14)). zenon_intro zenon_H133. % 1.07/1.29 apply (zenon_imply_s _ _ zenon_H133); [ zenon_intro zenon_H19 | zenon_intro zenon_H134 ]. % 1.07/1.29 exact (zenon_H19 zenon_H1a). % 1.07/1.29 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H125 | zenon_intro zenon_H135 ]. % 1.07/1.29 exact (zenon_H11f zenon_H125). % 1.07/1.29 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H136 | zenon_intro zenon_H126 ]. % 1.07/1.29 generalize (zenon_Hf2 (a14)). zenon_intro zenon_H189. % 1.07/1.29 apply (zenon_imply_s _ _ zenon_H189); [ zenon_intro zenon_H19 | zenon_intro zenon_H18a ]. % 1.07/1.29 exact (zenon_H19 zenon_H1a). % 1.07/1.29 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H13a | zenon_intro zenon_H18b ]. % 1.07/1.29 exact (zenon_H136 zenon_H13a). % 1.07/1.29 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_H125 | zenon_intro zenon_H127 ]. % 1.07/1.29 exact (zenon_H11f zenon_H125). % 1.07/1.29 exact (zenon_H127 zenon_H120). % 1.07/1.29 exact (zenon_H126 zenon_H121). % 1.07/1.29 (* end of lemma zenon_L109_ *) % 1.07/1.29 assert (zenon_L110_ : (forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))) -> (ndr1_0) -> (forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36)))))) -> (c2_1 (a3)) -> (c3_1 (a3)) -> (c1_1 (a3)) -> False). % 1.07/1.29 do 0 intro. intros zenon_H1c zenon_H1a zenon_H49 zenon_H1e zenon_H1f zenon_H1d. % 1.07/1.29 generalize (zenon_H1c (a3)). zenon_intro zenon_H24. % 1.07/1.29 apply (zenon_imply_s _ _ zenon_H24); [ zenon_intro zenon_H19 | zenon_intro zenon_H25 ]. % 1.07/1.29 exact (zenon_H19 zenon_H1a). % 1.07/1.29 apply (zenon_or_s _ _ zenon_H25); [ zenon_intro zenon_H27 | zenon_intro zenon_H26 ]. % 1.07/1.29 generalize (zenon_H49 (a3)). zenon_intro zenon_H18c. % 1.07/1.29 apply (zenon_imply_s _ _ zenon_H18c); [ zenon_intro zenon_H19 | zenon_intro zenon_H18d ]. % 1.07/1.29 exact (zenon_H19 zenon_H1a). % 1.07/1.29 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H23 | zenon_intro zenon_Hd9 ]. % 1.07/1.29 exact (zenon_H27 zenon_H23). % 1.07/1.29 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H28 | zenon_intro zenon_H2a ]. % 1.07/1.29 exact (zenon_H28 zenon_H1e). % 1.07/1.29 exact (zenon_H2a zenon_H1f). % 1.07/1.29 apply (zenon_or_s _ _ zenon_H26); [ zenon_intro zenon_H29 | zenon_intro zenon_H28 ]. % 1.07/1.29 exact (zenon_H29 zenon_H1d). % 1.07/1.29 exact (zenon_H28 zenon_H1e). % 1.07/1.29 (* end of lemma zenon_L110_ *) % 1.07/1.29 assert (zenon_L111_ : ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c3_1 (a14)) -> (c0_1 (a14)) -> (forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14)))))) -> (~(c2_1 (a14))) -> (c1_1 (a3)) -> (c3_1 (a3)) -> (c2_1 (a3)) -> (forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36)))))) -> (ndr1_0) -> (~(hskp19)) -> False). % 1.07/1.29 do 0 intro. intros zenon_H14a zenon_H121 zenon_H120 zenon_Hf2 zenon_H11f zenon_H1d zenon_H1f zenon_H1e zenon_H49 zenon_H1a zenon_H144. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_H6d | zenon_intro zenon_H14e ]. % 1.07/1.29 apply (zenon_L109_); trivial. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H1c | zenon_intro zenon_H145 ]. % 1.07/1.29 apply (zenon_L110_); trivial. % 1.07/1.29 exact (zenon_H144 zenon_H145). % 1.07/1.29 (* end of lemma zenon_L111_ *) % 1.07/1.29 assert (zenon_L112_ : (forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37)))))) -> (ndr1_0) -> (~(c3_1 (a25))) -> (c0_1 (a25)) -> (c2_1 (a25)) -> False). % 1.07/1.29 do 0 intro. intros zenon_H8e zenon_H1a zenon_H18e zenon_H18f zenon_H190. % 1.07/1.29 generalize (zenon_H8e (a25)). zenon_intro zenon_H191. % 1.07/1.29 apply (zenon_imply_s _ _ zenon_H191); [ zenon_intro zenon_H19 | zenon_intro zenon_H192 ]. % 1.07/1.29 exact (zenon_H19 zenon_H1a). % 1.07/1.29 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H194 | zenon_intro zenon_H193 ]. % 1.07/1.29 exact (zenon_H18e zenon_H194). % 1.07/1.29 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H196 | zenon_intro zenon_H195 ]. % 1.07/1.29 exact (zenon_H196 zenon_H18f). % 1.07/1.29 exact (zenon_H195 zenon_H190). % 1.07/1.29 (* end of lemma zenon_L112_ *) % 1.07/1.29 assert (zenon_L113_ : (forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48)))))) -> (ndr1_0) -> (forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37)))))) -> (~(c3_1 (a25))) -> (c0_1 (a25)) -> False). % 1.07/1.29 do 0 intro. intros zenon_He8 zenon_H1a zenon_H8e zenon_H18e zenon_H18f. % 1.07/1.29 generalize (zenon_He8 (a25)). zenon_intro zenon_H197. % 1.07/1.29 apply (zenon_imply_s _ _ zenon_H197); [ zenon_intro zenon_H19 | zenon_intro zenon_H198 ]. % 1.07/1.29 exact (zenon_H19 zenon_H1a). % 1.07/1.29 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H190 | zenon_intro zenon_H199 ]. % 1.07/1.29 apply (zenon_L112_); trivial. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H194 | zenon_intro zenon_H196 ]. % 1.07/1.29 exact (zenon_H18e zenon_H194). % 1.07/1.29 exact (zenon_H196 zenon_H18f). % 1.07/1.29 (* end of lemma zenon_L113_ *) % 1.07/1.29 assert (zenon_L114_ : (forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11)))))) -> (ndr1_0) -> (forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37)))))) -> (~(c3_1 (a25))) -> (c0_1 (a25)) -> (c1_1 (a25)) -> False). % 1.07/1.29 do 0 intro. intros zenon_Hf3 zenon_H1a zenon_H8e zenon_H18e zenon_H18f zenon_H19a. % 1.07/1.29 generalize (zenon_Hf3 (a25)). zenon_intro zenon_H19b. % 1.07/1.29 apply (zenon_imply_s _ _ zenon_H19b); [ zenon_intro zenon_H19 | zenon_intro zenon_H19c ]. % 1.07/1.29 exact (zenon_H19 zenon_H1a). % 1.07/1.29 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_H190 | zenon_intro zenon_H19d ]. % 1.07/1.29 apply (zenon_L112_); trivial. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H194 | zenon_intro zenon_H19e ]. % 1.07/1.29 exact (zenon_H18e zenon_H194). % 1.07/1.29 exact (zenon_H19e zenon_H19a). % 1.07/1.29 (* end of lemma zenon_L114_ *) % 1.07/1.29 assert (zenon_L115_ : ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c1_1 (a25)) -> (c0_1 (a25)) -> (~(c3_1 (a25))) -> (forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37)))))) -> (forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44)))))) -> (ndr1_0) -> (~(c1_1 (a31))) -> (c0_1 (a31)) -> (c2_1 (a31)) -> False). % 1.07/1.29 do 0 intro. intros zenon_Hfc zenon_H19a zenon_H18f zenon_H18e zenon_H8e zenon_Had zenon_H1a zenon_H32 zenon_H3c zenon_H33. % 1.07/1.29 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfd ]. % 1.07/1.29 apply (zenon_L113_); trivial. % 1.07/1.29 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hf3 | zenon_intro zenon_Hcd ]. % 1.07/1.29 apply (zenon_L114_); trivial. % 1.07/1.29 apply (zenon_L49_); trivial. % 1.07/1.29 (* end of lemma zenon_L115_ *) % 1.07/1.29 assert (zenon_L116_ : (forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37)))))) -> (ndr1_0) -> (forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))) -> (c0_1 (a31)) -> (c2_1 (a31)) -> False). % 1.07/1.29 do 0 intro. intros zenon_H8e zenon_H1a zenon_Hcd zenon_H3c zenon_H33. % 1.07/1.29 generalize (zenon_H8e (a31)). zenon_intro zenon_H8f. % 1.07/1.29 apply (zenon_imply_s _ _ zenon_H8f); [ zenon_intro zenon_H19 | zenon_intro zenon_H90 ]. % 1.07/1.29 exact (zenon_H19 zenon_H1a). % 1.07/1.29 apply (zenon_or_s _ _ zenon_H90); [ zenon_intro zenon_H34 | zenon_intro zenon_H62 ]. % 1.07/1.29 apply (zenon_L48_); trivial. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H40 | zenon_intro zenon_H3a ]. % 1.07/1.29 exact (zenon_H40 zenon_H3c). % 1.07/1.29 exact (zenon_H3a zenon_H33). % 1.07/1.29 (* end of lemma zenon_L116_ *) % 1.07/1.29 assert (zenon_L117_ : ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (ndr1_0) -> (forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37)))))) -> (~(c3_1 (a25))) -> (c0_1 (a25)) -> (c1_1 (a25)) -> (~(c1_1 (a31))) -> (c0_1 (a31)) -> (c2_1 (a31)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> False). % 1.07/1.29 do 0 intro. intros zenon_Hd3 zenon_H1a zenon_H8e zenon_H18e zenon_H18f zenon_H19a zenon_H32 zenon_H3c zenon_H33 zenon_Hfc. % 1.07/1.29 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_Had | zenon_intro zenon_Hcd ]. % 1.07/1.29 apply (zenon_L115_); trivial. % 1.07/1.29 apply (zenon_L116_); trivial. % 1.07/1.29 (* end of lemma zenon_L117_ *) % 1.07/1.29 assert (zenon_L118_ : ((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp14)) -> (~(hskp2)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c3_1 (a14)) -> (c0_1 (a14)) -> (~(c2_1 (a14))) -> (~(hskp19)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((hskp2)\/(hskp14))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c2_1 (a31)) -> (c0_1 (a31)) -> (~(c1_1 (a31))) -> (c1_1 (a25)) -> (c0_1 (a25)) -> (~(c3_1 (a25))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(hskp11)) -> False). % 1.07/1.29 do 0 intro. intros zenon_H41 zenon_H93 zenon_H100 zenon_Hfe zenon_H14a zenon_H121 zenon_H120 zenon_H11f zenon_H144 zenon_H113 zenon_Hfc zenon_H33 zenon_H3c zenon_H32 zenon_H19a zenon_H18f zenon_H18e zenon_Hd3 zenon_H91. % 1.07/1.29 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H1a. zenon_intro zenon_H44. % 1.07/1.29 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H1d. zenon_intro zenon_H45. % 1.07/1.29 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H1e. zenon_intro zenon_H1f. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H49 | zenon_intro zenon_H94 ]. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_Hf2 | zenon_intro zenon_H114 ]. % 1.07/1.29 apply (zenon_L111_); trivial. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hff | zenon_intro zenon_H101 ]. % 1.07/1.29 exact (zenon_Hfe zenon_Hff). % 1.07/1.29 exact (zenon_H100 zenon_H101). % 1.07/1.29 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H8e | zenon_intro zenon_H92 ]. % 1.07/1.29 apply (zenon_L117_); trivial. % 1.07/1.29 exact (zenon_H91 zenon_H92). % 1.07/1.29 (* end of lemma zenon_L118_ *) % 1.07/1.29 assert (zenon_L119_ : ((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(hskp0))) -> (~(hskp11)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(c3_1 (a25))) -> (c0_1 (a25)) -> (c1_1 (a25)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (c2_1 (a31)) -> (c0_1 (a31)) -> (~(c1_1 (a31))) -> (~(hskp0)) -> False). % 1.07/1.29 do 0 intro. intros zenon_Ha1 zenon_H63 zenon_H91 zenon_Hd3 zenon_H18e zenon_H18f zenon_H19a zenon_Hfc zenon_H93 zenon_H33 zenon_H3c zenon_H32 zenon_H15. % 1.07/1.29 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H1a. zenon_intro zenon_Ha2. % 1.07/1.29 apply (zenon_and_s _ _ zenon_Ha2). zenon_intro zenon_H4d. zenon_intro zenon_Ha3. % 1.07/1.29 apply (zenon_and_s _ _ zenon_Ha3). zenon_intro zenon_H4a. zenon_intro zenon_H4c. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H4b | zenon_intro zenon_H64 ]. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H49 | zenon_intro zenon_H94 ]. % 1.07/1.29 apply (zenon_L22_); trivial. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H8e | zenon_intro zenon_H92 ]. % 1.07/1.29 apply (zenon_L117_); trivial. % 1.07/1.29 exact (zenon_H91 zenon_H92). % 1.07/1.29 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H5f | zenon_intro zenon_H16 ]. % 1.07/1.29 apply (zenon_L26_); trivial. % 1.07/1.29 exact (zenon_H15 zenon_H16). % 1.07/1.29 (* end of lemma zenon_L119_ *) % 1.07/1.29 assert (zenon_L120_ : ((~(hskp23))\/((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(hskp0))) -> ((hskp24)\/((hskp23)\/(hskp0))) -> (~(hskp0)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((hskp2)\/(hskp14))) -> (~(hskp14)) -> (~(hskp2)) -> (~(c2_1 (a14))) -> (c0_1 (a14)) -> (c3_1 (a14)) -> (~(hskp19)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(c3_1 (a25))) -> (c0_1 (a25)) -> (c1_1 (a25)) -> (~(c1_1 (a31))) -> (c0_1 (a31)) -> (c2_1 (a31)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(hskp11)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> False). % 1.07/1.29 do 0 intro. intros zenon_H9d zenon_H63 zenon_H17 zenon_H15 zenon_H113 zenon_H100 zenon_Hfe zenon_H11f zenon_H120 zenon_H121 zenon_H144 zenon_H14a zenon_Hd3 zenon_H18e zenon_H18f zenon_H19a zenon_H32 zenon_H3c zenon_H33 zenon_Hfc zenon_H91 zenon_H93 zenon_H48. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H13 | zenon_intro zenon_Ha1 ]. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H11 | zenon_intro zenon_H41 ]. % 1.07/1.29 apply (zenon_L12_); trivial. % 1.07/1.29 apply (zenon_L118_); trivial. % 1.07/1.29 apply (zenon_L119_); trivial. % 1.07/1.29 (* end of lemma zenon_L120_ *) % 1.07/1.29 assert (zenon_L121_ : ((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(~(c3_1 (a25)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp2)\/(hskp3))) -> (~(hskp3)) -> (~(hskp10)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c3_1 (a14)) -> (c0_1 (a14)) -> (~(c2_1 (a14))) -> (~(hskp2)) -> (~(hskp14)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((hskp2)\/(hskp14))) -> (~(hskp0)) -> ((hskp24)\/((hskp23)\/(hskp0))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(hskp0))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53))))))) -> (~(hskp8)) -> (~(hskp4)) -> ((hskp17)\/((hskp8)\/(hskp4))) -> False). % 1.07/1.29 do 0 intro. intros zenon_H19f zenon_H9c zenon_H17b zenon_H10e zenon_H10b zenon_H2d zenon_H43 zenon_H48 zenon_H93 zenon_H91 zenon_Hfc zenon_Hd3 zenon_H14a zenon_H121 zenon_H120 zenon_H11f zenon_Hfe zenon_H100 zenon_H113 zenon_H15 zenon_H17 zenon_H63 zenon_H9d zenon_Hb zenon_Hd zenon_Hf. % 1.07/1.29 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H1a. zenon_intro zenon_H1a0. % 1.07/1.29 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H18f. zenon_intro zenon_H1a1. % 1.07/1.29 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H19a. zenon_intro zenon_H18e. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.07/1.29 apply (zenon_L8_); trivial. % 1.07/1.29 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.07/1.29 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.07/1.29 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.07/1.29 apply (zenon_L120_); trivial. % 1.07/1.29 apply (zenon_L108_); trivial. % 1.07/1.29 (* end of lemma zenon_L121_ *) % 1.07/1.29 assert (zenon_L122_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(~(c3_1 (a25))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(hskp14)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((hskp2)\/(hskp14))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(hskp0))) -> (~(hskp8)) -> ((hskp17)\/((hskp8)\/(hskp4))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((hskp25)\/((hskp17)\/(hskp21))) -> (~(hskp1)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> (ndr1_0) -> (~(c2_1 (a14))) -> (c0_1 (a14)) -> (c3_1 (a14)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp2)\/(hskp3))) -> (~(hskp3)) -> (~(hskp2)) -> ((hskp24)\/((hskp23)\/(hskp0))) -> (~(hskp0)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp10)) -> (~(hskp4)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> (~(hskp11)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> False). % 1.07/1.29 do 0 intro. intros zenon_H1a2 zenon_Hfc zenon_Hd3 zenon_H100 zenon_H113 zenon_H63 zenon_Hb zenon_Hf zenon_H17a zenon_H17b zenon_H177 zenon_H167 zenon_H149 zenon_H14a zenon_H130 zenon_Hde zenon_H162 zenon_H166 zenon_H1a zenon_H11f zenon_H120 zenon_H121 zenon_H12a zenon_H9d zenon_H10e zenon_H10b zenon_Hfe zenon_H17 zenon_H15 zenon_H43 zenon_H2d zenon_Hd zenon_H42 zenon_H48 zenon_H91 zenon_H93 zenon_H9c. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H146 | zenon_intro zenon_H19f ]. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.07/1.29 apply (zenon_L94_); trivial. % 1.07/1.29 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.07/1.29 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.07/1.29 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.07/1.29 apply (zenon_L103_); trivial. % 1.07/1.29 apply (zenon_L108_); trivial. % 1.07/1.29 apply (zenon_L121_); trivial. % 1.07/1.29 (* end of lemma zenon_L122_ *) % 1.07/1.29 assert (zenon_L123_ : ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (c3_1 (a3)) -> (c2_1 (a3)) -> (c1_1 (a3)) -> (forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1)))))) -> (c2_1 (a19)) -> (~(c3_1 (a19))) -> (~(c1_1 (a19))) -> (ndr1_0) -> False). % 1.07/1.29 do 0 intro. intros zenon_Hd3 zenon_H1f zenon_H1e zenon_H1d zenon_Hd6 zenon_Hb0 zenon_Haf zenon_Hae zenon_H1a. % 1.07/1.29 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_Had | zenon_intro zenon_Hcd ]. % 1.07/1.29 apply (zenon_L44_); trivial. % 1.07/1.29 apply (zenon_L53_); trivial. % 1.07/1.29 (* end of lemma zenon_L123_ *) % 1.07/1.29 assert (zenon_L124_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp8)\/(hskp9))) -> (~(hskp9)) -> (~(hskp8)) -> (~(c1_1 (a19))) -> (~(c3_1 (a19))) -> (c2_1 (a19)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(hskp23)) -> (~(hskp0)) -> ((hskp24)\/((hskp23)\/(hskp0))) -> False). % 1.07/1.29 do 0 intro. intros zenon_H48 zenon_H1a3 zenon_H3 zenon_Hb zenon_Hae zenon_Haf zenon_Hb0 zenon_Hd3 zenon_H13 zenon_H15 zenon_H17. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H11 | zenon_intro zenon_H41 ]. % 1.07/1.29 apply (zenon_L12_); trivial. % 1.07/1.29 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H1a. zenon_intro zenon_H44. % 1.07/1.29 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H1d. zenon_intro zenon_H45. % 1.07/1.29 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H1e. zenon_intro zenon_H1f. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H1a4 ]. % 1.07/1.29 apply (zenon_L123_); trivial. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_Hc | zenon_intro zenon_H4 ]. % 1.07/1.29 exact (zenon_Hb zenon_Hc). % 1.07/1.29 exact (zenon_H3 zenon_H4). % 1.07/1.29 (* end of lemma zenon_L124_ *) % 1.07/1.29 assert (zenon_L125_ : (forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13)))))) -> (ndr1_0) -> (~(c0_1 (a53))) -> (~(c1_1 (a53))) -> (c3_1 (a53)) -> False). % 1.07/1.29 do 0 intro. intros zenon_H1a5 zenon_H1a zenon_H4a zenon_H4c zenon_H4d. % 1.07/1.29 generalize (zenon_H1a5 (a53)). zenon_intro zenon_H1a6. % 1.07/1.29 apply (zenon_imply_s _ _ zenon_H1a6); [ zenon_intro zenon_H19 | zenon_intro zenon_H1a7 ]. % 1.07/1.29 exact (zenon_H19 zenon_H1a). % 1.07/1.29 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H51 | zenon_intro zenon_H1a8 ]. % 1.07/1.29 exact (zenon_H4a zenon_H51). % 1.07/1.29 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H58 | zenon_intro zenon_H52 ]. % 1.07/1.29 exact (zenon_H4c zenon_H58). % 1.07/1.29 exact (zenon_H52 zenon_H4d). % 1.07/1.29 (* end of lemma zenon_L125_ *) % 1.07/1.29 assert (zenon_L126_ : ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((hskp9)\/(hskp24))) -> (c3_1 (a14)) -> (c0_1 (a14)) -> (forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14)))))) -> (~(c2_1 (a14))) -> (ndr1_0) -> (~(hskp9)) -> (~(hskp24)) -> False). % 1.07/1.29 do 0 intro. intros zenon_H7b zenon_H121 zenon_H120 zenon_Hf2 zenon_H11f zenon_H1a zenon_H3 zenon_H11. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H7b); [ zenon_intro zenon_H6d | zenon_intro zenon_H7c ]. % 1.07/1.29 apply (zenon_L109_); trivial. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H7c); [ zenon_intro zenon_H4 | zenon_intro zenon_H12 ]. % 1.07/1.29 exact (zenon_H3 zenon_H4). % 1.07/1.29 exact (zenon_H11 zenon_H12). % 1.07/1.29 (* end of lemma zenon_L126_ *) % 1.07/1.29 assert (zenon_L127_ : ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> (c3_1 (a53)) -> (~(c1_1 (a53))) -> (~(c0_1 (a53))) -> (~(hskp24)) -> (~(hskp9)) -> (ndr1_0) -> (~(c2_1 (a14))) -> (c0_1 (a14)) -> (c3_1 (a14)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((hskp9)\/(hskp24))) -> (~(hskp4)) -> False). % 1.07/1.29 do 0 intro. intros zenon_H1a9 zenon_H4d zenon_H4c zenon_H4a zenon_H11 zenon_H3 zenon_H1a zenon_H11f zenon_H120 zenon_H121 zenon_H7b zenon_Hd. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H1aa ]. % 1.07/1.29 apply (zenon_L125_); trivial. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_Hf2 | zenon_intro zenon_He ]. % 1.07/1.29 apply (zenon_L126_); trivial. % 1.07/1.29 exact (zenon_Hd zenon_He). % 1.07/1.29 (* end of lemma zenon_L127_ *) % 1.07/1.29 assert (zenon_L128_ : (forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))) -> (ndr1_0) -> (forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32)))))) -> (c1_1 (a3)) -> (c3_1 (a3)) -> (c2_1 (a3)) -> False). % 1.07/1.29 do 0 intro. intros zenon_Hcd zenon_H1a zenon_H1b zenon_H1d zenon_H1f zenon_H1e. % 1.07/1.29 generalize (zenon_Hcd (a3)). zenon_intro zenon_Hd7. % 1.07/1.29 apply (zenon_imply_s _ _ zenon_Hd7); [ zenon_intro zenon_H19 | zenon_intro zenon_Hd8 ]. % 1.07/1.29 exact (zenon_H19 zenon_H1a). % 1.07/1.29 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H27 | zenon_intro zenon_Hd9 ]. % 1.07/1.29 generalize (zenon_H1b (a3)). zenon_intro zenon_H20. % 1.07/1.29 apply (zenon_imply_s _ _ zenon_H20); [ zenon_intro zenon_H19 | zenon_intro zenon_H21 ]. % 1.07/1.29 exact (zenon_H19 zenon_H1a). % 1.07/1.29 apply (zenon_or_s _ _ zenon_H21); [ zenon_intro zenon_H23 | zenon_intro zenon_H22 ]. % 1.07/1.29 exact (zenon_H27 zenon_H23). % 1.07/1.29 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H29 | zenon_intro zenon_H2a ]. % 1.07/1.29 exact (zenon_H29 zenon_H1d). % 1.07/1.29 exact (zenon_H2a zenon_H1f). % 1.07/1.29 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H28 | zenon_intro zenon_H2a ]. % 1.07/1.29 exact (zenon_H28 zenon_H1e). % 1.07/1.29 exact (zenon_H2a zenon_H1f). % 1.07/1.29 (* end of lemma zenon_L128_ *) % 1.07/1.29 assert (zenon_L129_ : ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (c2_1 (a3)) -> (c3_1 (a3)) -> (c1_1 (a3)) -> (forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32)))))) -> (c2_1 (a19)) -> (~(c3_1 (a19))) -> (~(c1_1 (a19))) -> (ndr1_0) -> False). % 1.07/1.29 do 0 intro. intros zenon_Hd3 zenon_H1e zenon_H1f zenon_H1d zenon_H1b zenon_Hb0 zenon_Haf zenon_Hae zenon_H1a. % 1.07/1.29 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_Had | zenon_intro zenon_Hcd ]. % 1.07/1.29 apply (zenon_L44_); trivial. % 1.07/1.29 apply (zenon_L128_); trivial. % 1.07/1.29 (* end of lemma zenon_L129_ *) % 1.07/1.29 assert (zenon_L130_ : (forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16)))))) -> (ndr1_0) -> (forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10)))))) -> (~(c1_1 (a19))) -> (~(c3_1 (a19))) -> (c2_1 (a19)) -> False). % 1.07/1.29 do 0 intro. intros zenon_H1ab zenon_H1a zenon_H3b zenon_Hae zenon_Haf zenon_Hb0. % 1.07/1.29 generalize (zenon_H1ab (a19)). zenon_intro zenon_H1ac. % 1.07/1.29 apply (zenon_imply_s _ _ zenon_H1ac); [ zenon_intro zenon_H19 | zenon_intro zenon_H1ad ]. % 1.07/1.29 exact (zenon_H19 zenon_H1a). % 1.07/1.29 apply (zenon_or_s _ _ zenon_H1ad); [ zenon_intro zenon_H1ae | zenon_intro zenon_Hb3 ]. % 1.07/1.29 generalize (zenon_H3b (a19)). zenon_intro zenon_H1af. % 1.07/1.29 apply (zenon_imply_s _ _ zenon_H1af); [ zenon_intro zenon_H19 | zenon_intro zenon_H1b0 ]. % 1.07/1.29 exact (zenon_H19 zenon_H1a). % 1.07/1.29 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_Hb4 | zenon_intro zenon_H1b1 ]. % 1.07/1.29 exact (zenon_Hae zenon_Hb4). % 1.07/1.29 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H1b2 ]. % 1.07/1.29 exact (zenon_Haf zenon_Hb6). % 1.07/1.29 exact (zenon_H1b2 zenon_H1ae). % 1.07/1.29 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_Hb6 | zenon_intro zenon_Hb5 ]. % 1.07/1.29 exact (zenon_Haf zenon_Hb6). % 1.07/1.29 exact (zenon_Hb5 zenon_Hb0). % 1.07/1.29 (* end of lemma zenon_L130_ *) % 1.07/1.29 assert (zenon_L131_ : ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> (c1_1 (a3)) -> (c3_1 (a3)) -> (c2_1 (a3)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (c2_1 (a19)) -> (~(c3_1 (a19))) -> (~(c1_1 (a19))) -> (ndr1_0) -> (forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16)))))) -> (~(hskp4)) -> False). % 1.07/1.29 do 0 intro. intros zenon_H42 zenon_H1d zenon_H1f zenon_H1e zenon_Hd3 zenon_Hb0 zenon_Haf zenon_Hae zenon_H1a zenon_H1ab zenon_Hd. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H1b | zenon_intro zenon_H46 ]. % 1.07/1.29 apply (zenon_L129_); trivial. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_He ]. % 1.07/1.29 apply (zenon_L130_); trivial. % 1.07/1.29 exact (zenon_Hd zenon_He). % 1.07/1.29 (* end of lemma zenon_L131_ *) % 1.07/1.29 assert (zenon_L132_ : (~(hskp26)) -> (hskp26) -> False). % 1.07/1.29 do 0 intro. intros zenon_H1b3 zenon_H1b4. % 1.07/1.29 exact (zenon_H1b3 zenon_H1b4). % 1.07/1.29 (* end of lemma zenon_L132_ *) % 1.07/1.29 assert (zenon_L133_ : (forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))) -> (ndr1_0) -> (c0_1 (a10)) -> (c2_1 (a10)) -> (c3_1 (a10)) -> False). % 1.07/1.29 do 0 intro. intros zenon_Hcd zenon_H1a zenon_H1b5 zenon_H1b6 zenon_H1b7. % 1.07/1.29 generalize (zenon_Hcd (a10)). zenon_intro zenon_H1b8. % 1.07/1.29 apply (zenon_imply_s _ _ zenon_H1b8); [ zenon_intro zenon_H19 | zenon_intro zenon_H1b9 ]. % 1.07/1.29 exact (zenon_H19 zenon_H1a). % 1.07/1.29 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H1bb | zenon_intro zenon_H1ba ]. % 1.07/1.29 exact (zenon_H1bb zenon_H1b5). % 1.07/1.29 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H1bd | zenon_intro zenon_H1bc ]. % 1.07/1.29 exact (zenon_H1bd zenon_H1b6). % 1.07/1.29 exact (zenon_H1bc zenon_H1b7). % 1.07/1.29 (* end of lemma zenon_L133_ *) % 1.07/1.29 assert (zenon_L134_ : ((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (c2_1 (a19)) -> (~(c3_1 (a19))) -> (~(c1_1 (a19))) -> False). % 1.07/1.29 do 0 intro. intros zenon_H1be zenon_Hd3 zenon_Hb0 zenon_Haf zenon_Hae. % 1.07/1.29 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H1a. zenon_intro zenon_H1bf. % 1.07/1.29 apply (zenon_and_s _ _ zenon_H1bf). zenon_intro zenon_H1b5. zenon_intro zenon_H1c0. % 1.07/1.29 apply (zenon_and_s _ _ zenon_H1c0). zenon_intro zenon_H1b6. zenon_intro zenon_H1b7. % 1.07/1.29 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_Had | zenon_intro zenon_Hcd ]. % 1.07/1.29 apply (zenon_L44_); trivial. % 1.07/1.29 apply (zenon_L133_); trivial. % 1.07/1.29 (* end of lemma zenon_L134_ *) % 1.07/1.29 assert (zenon_L135_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> (~(hskp4)) -> (ndr1_0) -> (~(c1_1 (a19))) -> (~(c3_1 (a19))) -> (c2_1 (a19)) -> (c1_1 (a3)) -> (c3_1 (a3)) -> (c2_1 (a3)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(hskp25)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> False). % 1.07/1.29 do 0 intro. intros zenon_H1c1 zenon_H42 zenon_Hd zenon_H1a zenon_Hae zenon_Haf zenon_Hb0 zenon_H1d zenon_H1f zenon_H1e zenon_Hd3 zenon_H12c zenon_H1c2. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1be ]. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H1c2); [ zenon_intro zenon_H1ab | zenon_intro zenon_H1c3 ]. % 1.07/1.29 apply (zenon_L131_); trivial. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_H12d | zenon_intro zenon_H1b4 ]. % 1.07/1.29 exact (zenon_H12c zenon_H12d). % 1.07/1.29 exact (zenon_H1b3 zenon_H1b4). % 1.07/1.29 apply (zenon_L134_); trivial. % 1.07/1.29 (* end of lemma zenon_L135_ *) % 1.07/1.29 assert (zenon_L136_ : ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c3_1 (a14)) -> (c0_1 (a14)) -> (forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14)))))) -> (~(c2_1 (a14))) -> (c2_1 (a9)) -> (c1_1 (a9)) -> (c0_1 (a9)) -> (ndr1_0) -> (~(hskp19)) -> False). % 1.07/1.29 do 0 intro. intros zenon_H14a zenon_H121 zenon_H120 zenon_Hf2 zenon_H11f zenon_H13d zenon_H13c zenon_H13b zenon_H1a zenon_H144. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_H6d | zenon_intro zenon_H14e ]. % 1.07/1.29 apply (zenon_L109_); trivial. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H1c | zenon_intro zenon_H145 ]. % 1.07/1.29 apply (zenon_L83_); trivial. % 1.07/1.29 exact (zenon_H144 zenon_H145). % 1.07/1.29 (* end of lemma zenon_L136_ *) % 1.07/1.29 assert (zenon_L137_ : ((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> (c3_1 (a53)) -> (~(c1_1 (a53))) -> (~(c0_1 (a53))) -> (~(hskp19)) -> (~(c2_1 (a14))) -> (c0_1 (a14)) -> (c3_1 (a14)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp4)) -> False). % 1.07/1.29 do 0 intro. intros zenon_H148 zenon_H1a9 zenon_H4d zenon_H4c zenon_H4a zenon_H144 zenon_H11f zenon_H120 zenon_H121 zenon_H14a zenon_Hd. % 1.07/1.29 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H1a. zenon_intro zenon_H14b. % 1.07/1.29 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H13b. zenon_intro zenon_H14c. % 1.07/1.29 apply (zenon_and_s _ _ zenon_H14c). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H1aa ]. % 1.07/1.29 apply (zenon_L125_); trivial. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_Hf2 | zenon_intro zenon_He ]. % 1.07/1.29 apply (zenon_L136_); trivial. % 1.07/1.29 exact (zenon_Hd zenon_He). % 1.07/1.29 (* end of lemma zenon_L137_ *) % 1.07/1.29 assert (zenon_L138_ : ((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> (~(c2_1 (a14))) -> (c0_1 (a14)) -> (c3_1 (a14)) -> (~(hskp19)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c3_1 (a53)) -> (~(c1_1 (a53))) -> (~(c0_1 (a53))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (c2_1 (a19)) -> (~(c3_1 (a19))) -> (~(c1_1 (a19))) -> (~(hskp4)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> False). % 1.07/1.29 do 0 intro. intros zenon_H41 zenon_H167 zenon_H1a9 zenon_H11f zenon_H120 zenon_H121 zenon_H144 zenon_H14a zenon_H4d zenon_H4c zenon_H4a zenon_H1c2 zenon_Hd3 zenon_Hb0 zenon_Haf zenon_Hae zenon_Hd zenon_H42 zenon_H1c1. % 1.07/1.29 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H1a. zenon_intro zenon_H44. % 1.07/1.29 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H1d. zenon_intro zenon_H45. % 1.07/1.29 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H1e. zenon_intro zenon_H1f. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H12c | zenon_intro zenon_H148 ]. % 1.07/1.29 apply (zenon_L135_); trivial. % 1.07/1.29 apply (zenon_L137_); trivial. % 1.07/1.29 (* end of lemma zenon_L138_ *) % 1.07/1.29 assert (zenon_L139_ : (~(hskp20)) -> (hskp20) -> False). % 1.07/1.29 do 0 intro. intros zenon_H1c4 zenon_H1c5. % 1.07/1.29 exact (zenon_H1c4 zenon_H1c5). % 1.07/1.29 (* end of lemma zenon_L139_ *) % 1.07/1.29 assert (zenon_L140_ : ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> (c2_1 (a19)) -> (~(c1_1 (a19))) -> (forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z))))) -> (~(c3_1 (a19))) -> (ndr1_0) -> (~(hskp26)) -> (~(hskp20)) -> False). % 1.07/1.29 do 0 intro. intros zenon_H1c6 zenon_Hb0 zenon_Hae zenon_Hb8 zenon_Haf zenon_H1a zenon_H1b3 zenon_H1c4. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H8e | zenon_intro zenon_H1c7 ]. % 1.07/1.29 generalize (zenon_H8e (a19)). zenon_intro zenon_H1c8. % 1.07/1.29 apply (zenon_imply_s _ _ zenon_H1c8); [ zenon_intro zenon_H19 | zenon_intro zenon_H1c9 ]. % 1.07/1.29 exact (zenon_H19 zenon_H1a). % 1.07/1.29 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H1ca ]. % 1.07/1.29 exact (zenon_Haf zenon_Hb6). % 1.07/1.29 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b2 | zenon_intro zenon_Hb5 ]. % 1.07/1.29 generalize (zenon_Hb8 (a19)). zenon_intro zenon_H1cb. % 1.07/1.29 apply (zenon_imply_s _ _ zenon_H1cb); [ zenon_intro zenon_H19 | zenon_intro zenon_H1cc ]. % 1.07/1.29 exact (zenon_H19 zenon_H1a). % 1.07/1.29 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H1ae | zenon_intro zenon_H1cd ]. % 1.07/1.29 exact (zenon_H1b2 zenon_H1ae). % 1.07/1.29 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_Hb4 | zenon_intro zenon_Hb6 ]. % 1.07/1.29 exact (zenon_Hae zenon_Hb4). % 1.07/1.29 exact (zenon_Haf zenon_Hb6). % 1.07/1.29 exact (zenon_Hb5 zenon_Hb0). % 1.07/1.29 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H1b4 | zenon_intro zenon_H1c5 ]. % 1.07/1.29 exact (zenon_H1b3 zenon_H1b4). % 1.07/1.29 exact (zenon_H1c4 zenon_H1c5). % 1.07/1.29 (* end of lemma zenon_L140_ *) % 1.07/1.29 assert (zenon_L141_ : ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> (c0_1 (a31)) -> (c2_1 (a31)) -> (~(c1_1 (a31))) -> (forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))) -> (ndr1_0) -> (~(hskp26)) -> (~(hskp20)) -> False). % 1.07/1.29 do 0 intro. intros zenon_H1c6 zenon_H3c zenon_H33 zenon_H32 zenon_H31 zenon_H1a zenon_H1b3 zenon_H1c4. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H8e | zenon_intro zenon_H1c7 ]. % 1.07/1.29 apply (zenon_L35_); trivial. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H1b4 | zenon_intro zenon_H1c5 ]. % 1.07/1.29 exact (zenon_H1b3 zenon_H1b4). % 1.07/1.29 exact (zenon_H1c4 zenon_H1c5). % 1.07/1.29 (* end of lemma zenon_L141_ *) % 1.07/1.29 assert (zenon_L142_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> (~(hskp20)) -> (c2_1 (a19)) -> (~(c1_1 (a19))) -> (~(c3_1 (a19))) -> (ndr1_0) -> (c0_1 (a31)) -> (c2_1 (a31)) -> (~(c1_1 (a31))) -> (~(hskp1)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> False). % 1.07/1.29 do 0 intro. intros zenon_H1c1 zenon_Hd3 zenon_H1c6 zenon_H1c4 zenon_Hb0 zenon_Hae zenon_Haf zenon_H1a zenon_H3c zenon_H33 zenon_H32 zenon_Hde zenon_H162. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1be ]. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H165 ]. % 1.07/1.29 apply (zenon_L140_); trivial. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H31 | zenon_intro zenon_Hdf ]. % 1.07/1.29 apply (zenon_L141_); trivial. % 1.07/1.29 exact (zenon_Hde zenon_Hdf). % 1.07/1.29 apply (zenon_L134_); trivial. % 1.07/1.29 (* end of lemma zenon_L142_ *) % 1.07/1.29 assert (zenon_L143_ : (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6)))))) -> (ndr1_0) -> (~(c0_1 (a33))) -> (forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1)))))) -> (c2_1 (a33)) -> False). % 1.07/1.29 do 0 intro. intros zenon_H65 zenon_H1a zenon_H168 zenon_Hd6 zenon_H16a. % 1.07/1.29 generalize (zenon_H65 (a33)). zenon_intro zenon_H184. % 1.07/1.29 apply (zenon_imply_s _ _ zenon_H184); [ zenon_intro zenon_H19 | zenon_intro zenon_H185 ]. % 1.07/1.29 exact (zenon_H19 zenon_H1a). % 1.07/1.29 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H16e | zenon_intro zenon_H186 ]. % 1.07/1.29 exact (zenon_H168 zenon_H16e). % 1.07/1.29 apply (zenon_or_s _ _ zenon_H186); [ zenon_intro zenon_H169 | zenon_intro zenon_H16f ]. % 1.07/1.29 apply (zenon_L91_); trivial. % 1.07/1.29 exact (zenon_H16f zenon_H16a). % 1.07/1.29 (* end of lemma zenon_L143_ *) % 1.07/1.29 assert (zenon_L144_ : (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7)))))) -> (ndr1_0) -> (~(c0_1 (a37))) -> (~(c3_1 (a37))) -> (c1_1 (a37)) -> False). % 1.07/1.29 do 0 intro. intros zenon_H7f zenon_H1a zenon_H1ce zenon_H1cf zenon_H1d0. % 1.07/1.29 generalize (zenon_H7f (a37)). zenon_intro zenon_H1d1. % 1.07/1.29 apply (zenon_imply_s _ _ zenon_H1d1); [ zenon_intro zenon_H19 | zenon_intro zenon_H1d2 ]. % 1.07/1.29 exact (zenon_H19 zenon_H1a). % 1.07/1.29 apply (zenon_or_s _ _ zenon_H1d2); [ zenon_intro zenon_H1d4 | zenon_intro zenon_H1d3 ]. % 1.07/1.29 exact (zenon_H1ce zenon_H1d4). % 1.07/1.29 apply (zenon_or_s _ _ zenon_H1d3); [ zenon_intro zenon_H1d6 | zenon_intro zenon_H1d5 ]. % 1.07/1.29 exact (zenon_H1cf zenon_H1d6). % 1.07/1.29 exact (zenon_H1d5 zenon_H1d0). % 1.07/1.29 (* end of lemma zenon_L144_ *) % 1.07/1.29 assert (zenon_L145_ : ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (c1_1 (a37)) -> (~(c3_1 (a37))) -> (~(c0_1 (a37))) -> (ndr1_0) -> (forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1)))))) -> (~(c0_1 (a33))) -> (c2_1 (a33)) -> (c3_1 (a33)) -> False). % 1.07/1.29 do 0 intro. intros zenon_H95 zenon_H1d0 zenon_H1cf zenon_H1ce zenon_H1a zenon_Hd6 zenon_H168 zenon_H16a zenon_H171. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H65 | zenon_intro zenon_H96 ]. % 1.07/1.29 apply (zenon_L143_); trivial. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H7f | zenon_intro zenon_H31 ]. % 1.07/1.29 apply (zenon_L144_); trivial. % 1.07/1.29 apply (zenon_L92_); trivial. % 1.07/1.29 (* end of lemma zenon_L145_ *) % 1.07/1.29 assert (zenon_L146_ : ((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp8)\/(hskp9))) -> (c3_1 (a33)) -> (c2_1 (a33)) -> (~(c0_1 (a33))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (~(hskp8)) -> (~(hskp9)) -> False). % 1.07/1.29 do 0 intro. intros zenon_H1d7 zenon_H1a3 zenon_H171 zenon_H16a zenon_H168 zenon_H95 zenon_Hb zenon_H3. % 1.07/1.29 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H1a. zenon_intro zenon_H1d8. % 1.07/1.29 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1d0. zenon_intro zenon_H1d9. % 1.07/1.29 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1ce. zenon_intro zenon_H1cf. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H1a4 ]. % 1.07/1.29 apply (zenon_L145_); trivial. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_Hc | zenon_intro zenon_H4 ]. % 1.07/1.29 exact (zenon_Hb zenon_Hc). % 1.07/1.29 exact (zenon_H3 zenon_H4). % 1.07/1.29 (* end of lemma zenon_L146_ *) % 1.07/1.29 assert (zenon_L147_ : ((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp8)\/(hskp9))) -> (~(hskp9)) -> (~(hskp8)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> (~(hskp1)) -> (~(c1_1 (a31))) -> (c2_1 (a31)) -> (c0_1 (a31)) -> (~(c3_1 (a19))) -> (~(c1_1 (a19))) -> (c2_1 (a19)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> False). % 1.07/1.29 do 0 intro. intros zenon_H176 zenon_H1da zenon_H1a3 zenon_H3 zenon_Hb zenon_H95 zenon_H162 zenon_Hde zenon_H32 zenon_H33 zenon_H3c zenon_Haf zenon_Hae zenon_Hb0 zenon_H1c6 zenon_Hd3 zenon_H1c1. % 1.07/1.29 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1a. zenon_intro zenon_H178. % 1.07/1.29 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H16a. zenon_intro zenon_H179. % 1.07/1.29 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H171. zenon_intro zenon_H168. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.07/1.29 apply (zenon_L142_); trivial. % 1.07/1.29 apply (zenon_L146_); trivial. % 1.07/1.29 (* end of lemma zenon_L147_ *) % 1.07/1.29 assert (zenon_L148_ : ((ndr1_0)/\((c2_1 (a19))/\((~(c1_1 (a19)))/\(~(c3_1 (a19)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp8)\/(hskp9))) -> (~(hskp9)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(hskp0)) -> ((hskp24)\/((hskp23)\/(hskp0))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> (~(c2_1 (a14))) -> (c0_1 (a14)) -> (c3_1 (a14)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((hskp9)\/(hskp24))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53))))))) -> (~(hskp8)) -> (~(hskp4)) -> ((hskp17)\/((hskp8)\/(hskp4))) -> False). % 1.07/1.29 do 0 intro. intros zenon_He5 zenon_H9c zenon_H17b zenon_H1da zenon_H95 zenon_H162 zenon_Hde zenon_H1c6 zenon_H48 zenon_H1a3 zenon_H3 zenon_Hd3 zenon_H15 zenon_H17 zenon_H1a9 zenon_H11f zenon_H120 zenon_H121 zenon_H7b zenon_H1c1 zenon_H42 zenon_H1c2 zenon_H14a zenon_H167 zenon_H9d zenon_Hb zenon_Hd zenon_Hf. % 1.07/1.29 apply (zenon_and_s _ _ zenon_He5). zenon_intro zenon_H1a. zenon_intro zenon_He6. % 1.07/1.29 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_Hb0. zenon_intro zenon_He7. % 1.07/1.29 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hae. zenon_intro zenon_Haf. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.07/1.29 apply (zenon_L8_); trivial. % 1.07/1.29 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.07/1.29 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.07/1.29 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H13 | zenon_intro zenon_Ha1 ]. % 1.07/1.29 apply (zenon_L124_); trivial. % 1.07/1.29 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H1a. zenon_intro zenon_Ha2. % 1.07/1.29 apply (zenon_and_s _ _ zenon_Ha2). zenon_intro zenon_H4d. zenon_intro zenon_Ha3. % 1.07/1.29 apply (zenon_and_s _ _ zenon_Ha3). zenon_intro zenon_H4a. zenon_intro zenon_H4c. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H11 | zenon_intro zenon_H41 ]. % 1.07/1.29 apply (zenon_L127_); trivial. % 1.07/1.29 apply (zenon_L138_); trivial. % 1.07/1.29 apply (zenon_L147_); trivial. % 1.07/1.29 (* end of lemma zenon_L148_ *) % 1.07/1.29 assert (zenon_L149_ : (forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))) -> (ndr1_0) -> (c0_1 (a18)) -> (c1_1 (a18)) -> (c2_1 (a18)) -> False). % 1.07/1.29 do 0 intro. intros zenon_H1c zenon_H1a zenon_He0 zenon_Hc6 zenon_Hc2. % 1.07/1.29 generalize (zenon_H1c (a18)). zenon_intro zenon_H1db. % 1.07/1.29 apply (zenon_imply_s _ _ zenon_H1db); [ zenon_intro zenon_H19 | zenon_intro zenon_H1dc ]. % 1.07/1.29 exact (zenon_H19 zenon_H1a). % 1.07/1.29 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_He4 | zenon_intro zenon_Hc9 ]. % 1.07/1.29 exact (zenon_He4 zenon_He0). % 1.07/1.29 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hcc | zenon_intro zenon_Hcb ]. % 1.07/1.29 exact (zenon_Hcc zenon_Hc6). % 1.07/1.29 exact (zenon_Hcb zenon_Hc2). % 1.07/1.29 (* end of lemma zenon_L149_ *) % 1.07/1.29 assert (zenon_L150_ : (forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10)))))) -> (ndr1_0) -> (forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))) -> (c0_1 (a18)) -> (c2_1 (a18)) -> (~(c3_1 (a18))) -> False). % 1.07/1.29 do 0 intro. intros zenon_H3b zenon_H1a zenon_H1c zenon_He0 zenon_Hc2 zenon_Hc1. % 1.07/1.29 generalize (zenon_H3b (a18)). zenon_intro zenon_H1dd. % 1.07/1.29 apply (zenon_imply_s _ _ zenon_H1dd); [ zenon_intro zenon_H19 | zenon_intro zenon_H1de ]. % 1.07/1.29 exact (zenon_H19 zenon_H1a). % 1.07/1.29 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_Hc6 | zenon_intro zenon_H1df ]. % 1.07/1.29 apply (zenon_L149_); trivial. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_Hca | zenon_intro zenon_He4 ]. % 1.07/1.29 exact (zenon_Hc1 zenon_Hca). % 1.07/1.29 exact (zenon_He4 zenon_He0). % 1.07/1.29 (* end of lemma zenon_L150_ *) % 1.07/1.29 assert (zenon_L151_ : ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (~(hskp19)) -> (forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10)))))) -> (c0_1 (a18)) -> (c2_1 (a18)) -> (~(c3_1 (a18))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c3_1 (a14)) -> (c0_1 (a14)) -> (~(c2_1 (a14))) -> (ndr1_0) -> (~(hskp15)) -> False). % 1.07/1.29 do 0 intro. intros zenon_H149 zenon_H144 zenon_H3b zenon_He0 zenon_Hc2 zenon_Hc1 zenon_H14a zenon_H121 zenon_H120 zenon_H11f zenon_H1a zenon_H146. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H132 | zenon_intro zenon_H14d ]. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_H6d | zenon_intro zenon_H14e ]. % 1.07/1.29 apply (zenon_L82_); trivial. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H1c | zenon_intro zenon_H145 ]. % 1.07/1.29 apply (zenon_L150_); trivial. % 1.07/1.29 exact (zenon_H144 zenon_H145). % 1.07/1.29 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H11e | zenon_intro zenon_H147 ]. % 1.07/1.29 apply (zenon_L76_); trivial. % 1.07/1.29 exact (zenon_H146 zenon_H147). % 1.07/1.29 (* end of lemma zenon_L151_ *) % 1.07/1.29 assert (zenon_L152_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> (~(hskp4)) -> (~(c3_1 (a18))) -> (c2_1 (a18)) -> (c0_1 (a18)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp19)) -> (c3_1 (a14)) -> (~(c2_1 (a14))) -> (c0_1 (a14)) -> (~(hskp15)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (~(hskp23)) -> (~(hskp0)) -> ((hskp24)\/((hskp23)\/(hskp0))) -> False). % 1.07/1.29 do 0 intro. intros zenon_H48 zenon_H42 zenon_Hd zenon_Hc1 zenon_Hc2 zenon_He0 zenon_H14a zenon_H144 zenon_H121 zenon_H11f zenon_H120 zenon_H146 zenon_H149 zenon_H13 zenon_H15 zenon_H17. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H11 | zenon_intro zenon_H41 ]. % 1.07/1.29 apply (zenon_L12_); trivial. % 1.07/1.29 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H1a. zenon_intro zenon_H44. % 1.07/1.29 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H1d. zenon_intro zenon_H45. % 1.07/1.29 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H1e. zenon_intro zenon_H1f. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H1b | zenon_intro zenon_H46 ]. % 1.07/1.29 apply (zenon_L96_); trivial. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_He ]. % 1.07/1.29 apply (zenon_L151_); trivial. % 1.07/1.29 exact (zenon_Hd zenon_He). % 1.07/1.29 (* end of lemma zenon_L152_ *) % 1.07/1.29 assert (zenon_L153_ : ((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (c2_1 (a18)) -> (c0_1 (a18)) -> (~(c3_1 (a18))) -> (~(hskp11)) -> False). % 1.07/1.29 do 0 intro. intros zenon_H176 zenon_H93 zenon_Hc2 zenon_He0 zenon_Hc1 zenon_H91. % 1.07/1.29 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1a. zenon_intro zenon_H178. % 1.07/1.29 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H16a. zenon_intro zenon_H179. % 1.07/1.29 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H171. zenon_intro zenon_H168. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H49 | zenon_intro zenon_H94 ]. % 1.07/1.29 apply (zenon_L105_); trivial. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H8e | zenon_intro zenon_H92 ]. % 1.07/1.29 apply (zenon_L59_); trivial. % 1.07/1.29 exact (zenon_H91 zenon_H92). % 1.07/1.29 (* end of lemma zenon_L153_ *) % 1.07/1.29 assert (zenon_L154_ : ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp8)\/(hskp9))) -> (c2_1 (a33)) -> (~(c0_1 (a33))) -> (ndr1_0) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6)))))) -> (~(hskp8)) -> (~(hskp9)) -> False). % 1.07/1.29 do 0 intro. intros zenon_H1a3 zenon_H16a zenon_H168 zenon_H1a zenon_H65 zenon_Hb zenon_H3. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H1a4 ]. % 1.07/1.29 apply (zenon_L143_); trivial. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_Hc | zenon_intro zenon_H4 ]. % 1.07/1.29 exact (zenon_Hb zenon_Hc). % 1.07/1.29 exact (zenon_H3 zenon_H4). % 1.07/1.29 (* end of lemma zenon_L154_ *) % 1.07/1.29 assert (zenon_L155_ : (forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10)))))) -> (ndr1_0) -> (~(c1_1 (a31))) -> (forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))) -> (c0_1 (a31)) -> (c2_1 (a31)) -> False). % 1.07/1.29 do 0 intro. intros zenon_H3b zenon_H1a zenon_H32 zenon_Hcd zenon_H3c zenon_H33. % 1.07/1.29 generalize (zenon_H3b (a31)). zenon_intro zenon_H3d. % 1.07/1.29 apply (zenon_imply_s _ _ zenon_H3d); [ zenon_intro zenon_H19 | zenon_intro zenon_H3e ]. % 1.07/1.29 exact (zenon_H19 zenon_H1a). % 1.07/1.29 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H38 | zenon_intro zenon_H3f ]. % 1.07/1.29 exact (zenon_H32 zenon_H38). % 1.07/1.29 apply (zenon_or_s _ _ zenon_H3f); [ zenon_intro zenon_H34 | zenon_intro zenon_H40 ]. % 1.07/1.29 apply (zenon_L48_); trivial. % 1.07/1.29 exact (zenon_H40 zenon_H3c). % 1.07/1.29 (* end of lemma zenon_L155_ *) % 1.07/1.29 assert (zenon_L156_ : ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10)))))) -> (ndr1_0) -> (forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37)))))) -> (~(c3_1 (a25))) -> (c0_1 (a25)) -> (c1_1 (a25)) -> (~(c1_1 (a31))) -> (c0_1 (a31)) -> (c2_1 (a31)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> False). % 1.07/1.29 do 0 intro. intros zenon_Hd3 zenon_H3b zenon_H1a zenon_H8e zenon_H18e zenon_H18f zenon_H19a zenon_H32 zenon_H3c zenon_H33 zenon_Hfc. % 1.07/1.29 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_Had | zenon_intro zenon_Hcd ]. % 1.07/1.29 apply (zenon_L115_); trivial. % 1.07/1.29 apply (zenon_L155_); trivial. % 1.07/1.29 (* end of lemma zenon_L156_ *) % 1.07/1.29 assert (zenon_L157_ : ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (c3_1 (a33)) -> (c2_1 (a33)) -> (~(c0_1 (a33))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c2_1 (a31)) -> (c0_1 (a31)) -> (~(c1_1 (a31))) -> (c1_1 (a25)) -> (c0_1 (a25)) -> (~(c3_1 (a25))) -> (ndr1_0) -> (forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(hskp11)) -> False). % 1.07/1.29 do 0 intro. intros zenon_H93 zenon_H171 zenon_H16a zenon_H168 zenon_Hfc zenon_H33 zenon_H3c zenon_H32 zenon_H19a zenon_H18f zenon_H18e zenon_H1a zenon_H3b zenon_Hd3 zenon_H91. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H49 | zenon_intro zenon_H94 ]. % 1.07/1.29 apply (zenon_L105_); trivial. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H8e | zenon_intro zenon_H92 ]. % 1.07/1.29 apply (zenon_L156_); trivial. % 1.07/1.29 exact (zenon_H91 zenon_H92). % 1.07/1.29 (* end of lemma zenon_L157_ *) % 1.07/1.29 assert (zenon_L158_ : ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (c3_1 (a33)) -> (c2_1 (a33)) -> (~(c0_1 (a33))) -> (c1_1 (a25)) -> (c0_1 (a25)) -> (~(c3_1 (a25))) -> (ndr1_0) -> (forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11)))))) -> (~(hskp11)) -> False). % 1.07/1.29 do 0 intro. intros zenon_H93 zenon_H171 zenon_H16a zenon_H168 zenon_H19a zenon_H18f zenon_H18e zenon_H1a zenon_Hf3 zenon_H91. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H49 | zenon_intro zenon_H94 ]. % 1.07/1.29 apply (zenon_L105_); trivial. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H8e | zenon_intro zenon_H92 ]. % 1.07/1.29 apply (zenon_L114_); trivial. % 1.07/1.29 exact (zenon_H91 zenon_H92). % 1.07/1.29 (* end of lemma zenon_L158_ *) % 1.07/1.29 assert (zenon_L159_ : ((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11)))))))) -> (~(hskp9)) -> (~(hskp8)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp8)\/(hskp9))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(c1_1 (a31))) -> (c0_1 (a31)) -> (c2_1 (a31)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (c1_1 (a25)) -> (c0_1 (a25)) -> (~(c3_1 (a25))) -> (~(hskp11)) -> False). % 1.07/1.29 do 0 intro. intros zenon_H176 zenon_H1e0 zenon_H3 zenon_Hb zenon_H1a3 zenon_Hd3 zenon_H32 zenon_H3c zenon_H33 zenon_Hfc zenon_H93 zenon_H19a zenon_H18f zenon_H18e zenon_H91. % 1.07/1.29 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1a. zenon_intro zenon_H178. % 1.07/1.29 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H16a. zenon_intro zenon_H179. % 1.07/1.29 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H171. zenon_intro zenon_H168. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H65 | zenon_intro zenon_H1e1 ]. % 1.07/1.29 apply (zenon_L154_); trivial. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H3b | zenon_intro zenon_Hf3 ]. % 1.07/1.29 apply (zenon_L157_); trivial. % 1.07/1.29 apply (zenon_L158_); trivial. % 1.07/1.29 (* end of lemma zenon_L159_ *) % 1.07/1.29 assert (zenon_L160_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(~(c3_1 (a25))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11)))))))) -> (~(hskp9)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp8)\/(hskp9))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(hskp14)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((hskp2)\/(hskp14))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(hskp0))) -> (~(hskp8)) -> ((hskp17)\/((hskp8)\/(hskp4))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp2)\/(hskp3))) -> (~(hskp3)) -> (~(hskp2)) -> ((hskp24)\/((hskp23)\/(hskp0))) -> (~(hskp0)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (c0_1 (a14)) -> (~(c2_1 (a14))) -> (c3_1 (a14)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c0_1 (a18)) -> (c2_1 (a18)) -> (~(c3_1 (a18))) -> (~(hskp4)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> (~(hskp11)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> False). % 1.07/1.29 do 0 intro. intros zenon_H1a2 zenon_H9c zenon_H1e0 zenon_H3 zenon_H1a3 zenon_Hfc zenon_Hd3 zenon_H100 zenon_H113 zenon_H63 zenon_Hb zenon_Hf zenon_H9d zenon_H10e zenon_H10b zenon_Hfe zenon_H17 zenon_H15 zenon_H149 zenon_H120 zenon_H11f zenon_H121 zenon_H14a zenon_He0 zenon_Hc2 zenon_Hc1 zenon_Hd zenon_H42 zenon_H48 zenon_H91 zenon_H93 zenon_H17b. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H146 | zenon_intro zenon_H19f ]. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H13 | zenon_intro zenon_Ha1 ]. % 1.07/1.29 apply (zenon_L152_); trivial. % 1.07/1.29 apply (zenon_L102_); trivial. % 1.07/1.29 apply (zenon_L153_); trivial. % 1.07/1.29 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H1a. zenon_intro zenon_H1a0. % 1.07/1.29 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H18f. zenon_intro zenon_H1a1. % 1.07/1.29 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H19a. zenon_intro zenon_H18e. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.07/1.29 apply (zenon_L8_); trivial. % 1.07/1.29 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.07/1.29 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.07/1.29 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.07/1.29 apply (zenon_L120_); trivial. % 1.07/1.29 apply (zenon_L159_); trivial. % 1.07/1.29 (* end of lemma zenon_L160_ *) % 1.07/1.29 assert (zenon_L161_ : ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (c3_1 (a33)) -> (c2_1 (a33)) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6)))))) -> (~(c0_1 (a33))) -> (c0_1 (a31)) -> (c2_1 (a31)) -> (~(c1_1 (a31))) -> (ndr1_0) -> (forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10)))))) -> (~(hskp10)) -> False). % 1.07/1.29 do 0 intro. intros zenon_H43 zenon_H171 zenon_H16a zenon_H65 zenon_H168 zenon_H3c zenon_H33 zenon_H32 zenon_H1a zenon_H3b zenon_H2d. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H43); [ zenon_intro zenon_H1b | zenon_intro zenon_H47 ]. % 1.07/1.29 apply (zenon_L104_); trivial. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H47); [ zenon_intro zenon_H31 | zenon_intro zenon_H2e ]. % 1.07/1.29 apply (zenon_L19_); trivial. % 1.07/1.29 exact (zenon_H2d zenon_H2e). % 1.07/1.29 (* end of lemma zenon_L161_ *) % 1.07/1.29 assert (zenon_L162_ : ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp2)\/(hskp3))) -> (~(hskp10)) -> (forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10)))))) -> (ndr1_0) -> (~(c1_1 (a31))) -> (c2_1 (a31)) -> (c0_1 (a31)) -> (~(c0_1 (a33))) -> (c2_1 (a33)) -> (c3_1 (a33)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp2)) -> (~(hskp3)) -> False). % 1.07/1.29 do 0 intro. intros zenon_H10e zenon_H2d zenon_H3b zenon_H1a zenon_H32 zenon_H33 zenon_H3c zenon_H168 zenon_H16a zenon_H171 zenon_H43 zenon_Hfe zenon_H10b. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_H65 | zenon_intro zenon_H111 ]. % 1.07/1.29 apply (zenon_L161_); trivial. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hff | zenon_intro zenon_H10c ]. % 1.07/1.29 exact (zenon_Hfe zenon_Hff). % 1.07/1.29 exact (zenon_H10b zenon_H10c). % 1.07/1.29 (* end of lemma zenon_L162_ *) % 1.07/1.29 assert (zenon_L163_ : ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((hskp2)\/(hskp14))) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (~(c2_1 (a16))) -> (forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11)))))) -> (ndr1_0) -> (~(hskp2)) -> (~(hskp14)) -> False). % 1.07/1.29 do 0 intro. intros zenon_H113 zenon_Heb zenon_Hea zenon_He9 zenon_Hf3 zenon_H1a zenon_Hfe zenon_H100. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_Hf2 | zenon_intro zenon_H114 ]. % 1.07/1.29 apply (zenon_L64_); trivial. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hff | zenon_intro zenon_H101 ]. % 1.07/1.29 exact (zenon_Hfe zenon_Hff). % 1.07/1.29 exact (zenon_H100 zenon_H101). % 1.07/1.29 (* end of lemma zenon_L163_ *) % 1.07/1.29 assert (zenon_L164_ : ((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp11)) -> (~(hskp3)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (c0_1 (a31)) -> (c2_1 (a31)) -> (~(c1_1 (a31))) -> (~(hskp10)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp2)\/(hskp3))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((hskp2)\/(hskp14))) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (~(c2_1 (a16))) -> (~(hskp2)) -> (~(hskp14)) -> False). % 1.07/1.29 do 0 intro. intros zenon_H176 zenon_H1e0 zenon_H93 zenon_H91 zenon_H10b zenon_H43 zenon_H3c zenon_H33 zenon_H32 zenon_H2d zenon_H10e zenon_H113 zenon_Heb zenon_Hea zenon_He9 zenon_Hfe zenon_H100. % 1.07/1.29 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1a. zenon_intro zenon_H178. % 1.07/1.29 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H16a. zenon_intro zenon_H179. % 1.07/1.29 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H171. zenon_intro zenon_H168. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H65 | zenon_intro zenon_H1e1 ]. % 1.07/1.29 apply (zenon_L107_); trivial. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H3b | zenon_intro zenon_Hf3 ]. % 1.07/1.29 apply (zenon_L162_); trivial. % 1.07/1.29 apply (zenon_L163_); trivial. % 1.07/1.29 (* end of lemma zenon_L164_ *) % 1.07/1.29 assert (zenon_L165_ : (forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16)))))) -> (ndr1_0) -> (~(c0_1 (a37))) -> (~(c3_1 (a37))) -> (c2_1 (a37)) -> False). % 1.07/1.29 do 0 intro. intros zenon_H1ab zenon_H1a zenon_H1ce zenon_H1cf zenon_H1e2. % 1.07/1.29 generalize (zenon_H1ab (a37)). zenon_intro zenon_H1e3. % 1.07/1.29 apply (zenon_imply_s _ _ zenon_H1e3); [ zenon_intro zenon_H19 | zenon_intro zenon_H1e4 ]. % 1.07/1.29 exact (zenon_H19 zenon_H1a). % 1.07/1.29 apply (zenon_or_s _ _ zenon_H1e4); [ zenon_intro zenon_H1d4 | zenon_intro zenon_H1e5 ]. % 1.07/1.29 exact (zenon_H1ce zenon_H1d4). % 1.07/1.29 apply (zenon_or_s _ _ zenon_H1e5); [ zenon_intro zenon_H1d6 | zenon_intro zenon_H1e6 ]. % 1.07/1.29 exact (zenon_H1cf zenon_H1d6). % 1.07/1.29 exact (zenon_H1e6 zenon_H1e2). % 1.07/1.29 (* end of lemma zenon_L165_ *) % 1.07/1.29 assert (zenon_L166_ : (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V))))) -> (ndr1_0) -> (~(c0_1 (a37))) -> (forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16)))))) -> (~(c3_1 (a37))) -> False). % 1.07/1.29 do 0 intro. intros zenon_H1e7 zenon_H1a zenon_H1ce zenon_H1ab zenon_H1cf. % 1.07/1.29 generalize (zenon_H1e7 (a37)). zenon_intro zenon_H1e8. % 1.07/1.29 apply (zenon_imply_s _ _ zenon_H1e8); [ zenon_intro zenon_H19 | zenon_intro zenon_H1e9 ]. % 1.07/1.29 exact (zenon_H19 zenon_H1a). % 1.07/1.29 apply (zenon_or_s _ _ zenon_H1e9); [ zenon_intro zenon_H1d4 | zenon_intro zenon_H1ea ]. % 1.07/1.29 exact (zenon_H1ce zenon_H1d4). % 1.07/1.29 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H1d6 ]. % 1.07/1.29 apply (zenon_L165_); trivial. % 1.07/1.29 exact (zenon_H1cf zenon_H1d6). % 1.07/1.29 (* end of lemma zenon_L166_ *) % 1.07/1.29 assert (zenon_L167_ : ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> (~(c3_1 (a37))) -> (~(c0_1 (a37))) -> (ndr1_0) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V))))) -> (~(hskp25)) -> (~(hskp26)) -> False). % 1.07/1.29 do 0 intro. intros zenon_H1c2 zenon_H1cf zenon_H1ce zenon_H1a zenon_H1e7 zenon_H12c zenon_H1b3. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H1c2); [ zenon_intro zenon_H1ab | zenon_intro zenon_H1c3 ]. % 1.07/1.29 apply (zenon_L166_); trivial. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_H12d | zenon_intro zenon_H1b4 ]. % 1.07/1.29 exact (zenon_H12c zenon_H12d). % 1.07/1.29 exact (zenon_H1b3 zenon_H1b4). % 1.07/1.29 (* end of lemma zenon_L167_ *) % 1.07/1.29 assert (zenon_L168_ : ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> (c2_1 (a19)) -> (~(c3_1 (a19))) -> (~(c1_1 (a19))) -> (forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10)))))) -> (ndr1_0) -> (~(hskp25)) -> (~(hskp26)) -> False). % 1.07/1.29 do 0 intro. intros zenon_H1c2 zenon_Hb0 zenon_Haf zenon_Hae zenon_H3b zenon_H1a zenon_H12c zenon_H1b3. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H1c2); [ zenon_intro zenon_H1ab | zenon_intro zenon_H1c3 ]. % 1.07/1.29 apply (zenon_L130_); trivial. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_H12d | zenon_intro zenon_H1b4 ]. % 1.07/1.29 exact (zenon_H12c zenon_H12d). % 1.07/1.29 exact (zenon_H1b3 zenon_H1b4). % 1.07/1.29 (* end of lemma zenon_L168_ *) % 1.07/1.29 assert (zenon_L169_ : (forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))) -> (ndr1_0) -> (c0_1 (a11)) -> (c2_1 (a11)) -> (c3_1 (a11)) -> False). % 1.07/1.29 do 0 intro. intros zenon_Hcd zenon_H1a zenon_H9b zenon_H74 zenon_H70. % 1.07/1.29 generalize (zenon_Hcd (a11)). zenon_intro zenon_H1eb. % 1.07/1.29 apply (zenon_imply_s _ _ zenon_H1eb); [ zenon_intro zenon_H19 | zenon_intro zenon_H1ec ]. % 1.07/1.29 exact (zenon_H19 zenon_H1a). % 1.07/1.29 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H1ed | zenon_intro zenon_H77 ]. % 1.07/1.29 exact (zenon_H1ed zenon_H9b). % 1.07/1.29 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H7a | zenon_intro zenon_H79 ]. % 1.07/1.29 exact (zenon_H7a zenon_H74). % 1.07/1.29 exact (zenon_H79 zenon_H70). % 1.07/1.29 (* end of lemma zenon_L169_ *) % 1.07/1.29 assert (zenon_L170_ : (forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))) -> (ndr1_0) -> (forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))) -> (c0_1 (a11)) -> (c3_1 (a11)) -> (c1_1 (a11)) -> False). % 1.07/1.29 do 0 intro. intros zenon_H6d zenon_H1a zenon_Hcd zenon_H9b zenon_H70 zenon_H6f. % 1.07/1.29 generalize (zenon_H6d (a11)). zenon_intro zenon_H71. % 1.07/1.29 apply (zenon_imply_s _ _ zenon_H71); [ zenon_intro zenon_H19 | zenon_intro zenon_H72 ]. % 1.07/1.29 exact (zenon_H19 zenon_H1a). % 1.07/1.29 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H74 | zenon_intro zenon_H73 ]. % 1.07/1.29 apply (zenon_L169_); trivial. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H73); [ zenon_intro zenon_H78 | zenon_intro zenon_H79 ]. % 1.07/1.29 exact (zenon_H78 zenon_H6f). % 1.07/1.29 exact (zenon_H79 zenon_H70). % 1.07/1.29 (* end of lemma zenon_L170_ *) % 1.07/1.29 assert (zenon_L171_ : ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (c1_1 (a11)) -> (c3_1 (a11)) -> (c0_1 (a11)) -> (forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))) -> (c2_1 (a19)) -> (~(c3_1 (a19))) -> (~(c1_1 (a19))) -> (ndr1_0) -> False). % 1.07/1.29 do 0 intro. intros zenon_Hd3 zenon_H6f zenon_H70 zenon_H9b zenon_H6d zenon_Hb0 zenon_Haf zenon_Hae zenon_H1a. % 1.07/1.29 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_Had | zenon_intro zenon_Hcd ]. % 1.07/1.29 apply (zenon_L44_); trivial. % 1.07/1.29 apply (zenon_L170_); trivial. % 1.07/1.29 (* end of lemma zenon_L171_ *) % 1.07/1.29 assert (zenon_L172_ : ((ndr1_0)/\((c0_1 (a11))/\((c1_1 (a11))/\(c3_1 (a11))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> (~(c0_1 (a37))) -> (~(c3_1 (a37))) -> (~(hskp26)) -> (~(hskp25)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (c2_1 (a19)) -> (~(c3_1 (a19))) -> (~(c1_1 (a19))) -> False). % 1.07/1.29 do 0 intro. intros zenon_H98 zenon_H1ee zenon_H1ce zenon_H1cf zenon_H1b3 zenon_H12c zenon_H1c2 zenon_Hd3 zenon_Hb0 zenon_Haf zenon_Hae. % 1.07/1.29 apply (zenon_and_s _ _ zenon_H98). zenon_intro zenon_H1a. zenon_intro zenon_H99. % 1.07/1.29 apply (zenon_and_s _ _ zenon_H99). zenon_intro zenon_H9b. zenon_intro zenon_H9a. % 1.07/1.29 apply (zenon_and_s _ _ zenon_H9a). zenon_intro zenon_H6f. zenon_intro zenon_H70. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H1ee); [ zenon_intro zenon_H1e7 | zenon_intro zenon_H1ef ]. % 1.07/1.29 apply (zenon_L167_); trivial. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H3b | zenon_intro zenon_H6d ]. % 1.07/1.29 apply (zenon_L168_); trivial. % 1.07/1.29 apply (zenon_L171_); trivial. % 1.07/1.29 (* end of lemma zenon_L172_ *) % 1.07/1.29 assert (zenon_L173_ : ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (~(c2_1 (a16))) -> (forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14)))))) -> (ndr1_0) -> (c0_1 (a10)) -> (c2_1 (a10)) -> (c3_1 (a10)) -> False). % 1.07/1.29 do 0 intro. intros zenon_Hfc zenon_Heb zenon_Hea zenon_He9 zenon_Hf2 zenon_H1a zenon_H1b5 zenon_H1b6 zenon_H1b7. % 1.07/1.29 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfd ]. % 1.07/1.29 apply (zenon_L63_); trivial. % 1.07/1.29 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hf3 | zenon_intro zenon_Hcd ]. % 1.07/1.29 apply (zenon_L64_); trivial. % 1.07/1.29 apply (zenon_L133_); trivial. % 1.07/1.29 (* end of lemma zenon_L173_ *) % 1.07/1.29 assert (zenon_L174_ : ((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((hskp2)\/(hskp14))) -> (~(c2_1 (a16))) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(hskp2)) -> (~(hskp14)) -> False). % 1.07/1.29 do 0 intro. intros zenon_H1be zenon_H113 zenon_He9 zenon_Hea zenon_Heb zenon_Hfc zenon_Hfe zenon_H100. % 1.07/1.29 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H1a. zenon_intro zenon_H1bf. % 1.07/1.29 apply (zenon_and_s _ _ zenon_H1bf). zenon_intro zenon_H1b5. zenon_intro zenon_H1c0. % 1.07/1.29 apply (zenon_and_s _ _ zenon_H1c0). zenon_intro zenon_H1b6. zenon_intro zenon_H1b7. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_Hf2 | zenon_intro zenon_H114 ]. % 1.07/1.29 apply (zenon_L173_); trivial. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hff | zenon_intro zenon_H101 ]. % 1.07/1.29 exact (zenon_Hfe zenon_Hff). % 1.07/1.29 exact (zenon_H100 zenon_H101). % 1.07/1.29 (* end of lemma zenon_L174_ *) % 1.07/1.29 assert (zenon_L175_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((hskp2)\/(hskp14))) -> (~(hskp14)) -> (~(hskp2)) -> (~(c2_1 (a16))) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> (c2_1 (a31)) -> (c0_1 (a31)) -> (~(c1_1 (a31))) -> (ndr1_0) -> (~(c0_1 (a53))) -> (~(c1_1 (a53))) -> (c3_1 (a53)) -> (~(hskp12)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp27)\/(hskp12))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> (~(hskp25)) -> (~(c3_1 (a37))) -> (~(c0_1 (a37))) -> (c2_1 (a19)) -> (~(c3_1 (a19))) -> (~(c1_1 (a19))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a11))/\((c1_1 (a11))/\(c3_1 (a11)))))) -> False). % 1.07/1.29 do 0 intro. intros zenon_H1c1 zenon_H113 zenon_H100 zenon_Hfe zenon_He9 zenon_Hea zenon_Heb zenon_Hfc zenon_H63 zenon_H15 zenon_H33 zenon_H3c zenon_H32 zenon_H1a zenon_H4a zenon_H4c zenon_H4d zenon_H5b zenon_H5d zenon_H1c2 zenon_H12c zenon_H1cf zenon_H1ce zenon_Hb0 zenon_Haf zenon_Hae zenon_Hd3 zenon_H1ee zenon_H97. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1be ]. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H98 ]. % 1.07/1.29 apply (zenon_L27_); trivial. % 1.07/1.29 apply (zenon_L172_); trivial. % 1.07/1.29 apply (zenon_L174_); trivial. % 1.07/1.29 (* end of lemma zenon_L175_ *) % 1.07/1.29 assert (zenon_L176_ : ((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37)))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> (~(c2_1 (a14))) -> (c0_1 (a14)) -> (c3_1 (a14)) -> (~(hskp19)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a11))/\((c1_1 (a11))/\(c3_1 (a11)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp27)\/(hskp12))) -> (~(hskp12)) -> (~(c1_1 (a31))) -> (c0_1 (a31)) -> (c2_1 (a31)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(hskp0))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((hskp24)\/((hskp23)\/(hskp0))) -> (~(hskp0)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> (~(hskp4)) -> (~(c1_1 (a19))) -> (~(c3_1 (a19))) -> (c2_1 (a19)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((hskp2)\/(hskp14))) -> (~(hskp14)) -> (~(hskp2)) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (~(c2_1 (a16))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> False). % 1.07/1.29 do 0 intro. intros zenon_H1d7 zenon_H9d zenon_H1a9 zenon_H11f zenon_H120 zenon_H121 zenon_H144 zenon_H14a zenon_H97 zenon_H1ee zenon_H5d zenon_H5b zenon_H32 zenon_H3c zenon_H33 zenon_H63 zenon_Hfc zenon_H17 zenon_H15 zenon_H1c1 zenon_H42 zenon_Hd zenon_Hae zenon_Haf zenon_Hb0 zenon_Hd3 zenon_H1c2 zenon_H113 zenon_H100 zenon_Hfe zenon_Heb zenon_Hea zenon_He9 zenon_H1f0 zenon_H167 zenon_H48. % 1.07/1.29 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H1a. zenon_intro zenon_H1d8. % 1.07/1.29 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1d0. zenon_intro zenon_H1d9. % 1.07/1.29 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1ce. zenon_intro zenon_H1cf. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H13 | zenon_intro zenon_Ha1 ]. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H11 | zenon_intro zenon_H41 ]. % 1.07/1.29 apply (zenon_L12_); trivial. % 1.07/1.29 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H1a. zenon_intro zenon_H44. % 1.07/1.29 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H1d. zenon_intro zenon_H45. % 1.07/1.29 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H1e. zenon_intro zenon_H1f. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H12c | zenon_intro zenon_H148 ]. % 1.07/1.29 apply (zenon_L135_); trivial. % 1.07/1.29 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H1a. zenon_intro zenon_H14b. % 1.07/1.29 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H13b. zenon_intro zenon_H14c. % 1.07/1.29 apply (zenon_and_s _ _ zenon_H14c). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H1ab | zenon_intro zenon_H1f1 ]. % 1.07/1.29 apply (zenon_L131_); trivial. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H1c ]. % 1.07/1.29 apply (zenon_L163_); trivial. % 1.07/1.29 apply (zenon_L83_); trivial. % 1.07/1.29 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H1a. zenon_intro zenon_Ha2. % 1.07/1.29 apply (zenon_and_s _ _ zenon_Ha2). zenon_intro zenon_H4d. zenon_intro zenon_Ha3. % 1.07/1.29 apply (zenon_and_s _ _ zenon_Ha3). zenon_intro zenon_H4a. zenon_intro zenon_H4c. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H12c | zenon_intro zenon_H148 ]. % 1.07/1.29 apply (zenon_L175_); trivial. % 1.07/1.29 apply (zenon_L137_); trivial. % 1.07/1.29 (* end of lemma zenon_L176_ *) % 1.07/1.29 assert (zenon_L177_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> (~(c2_1 (a14))) -> (c0_1 (a14)) -> (c3_1 (a14)) -> (~(hskp19)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a11))/\((c1_1 (a11))/\(c3_1 (a11)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp27)\/(hskp12))) -> (~(hskp12)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(hskp0))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((hskp24)\/((hskp23)\/(hskp0))) -> (~(hskp0)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((hskp2)\/(hskp14))) -> (~(hskp14)) -> (~(hskp2)) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (~(c2_1 (a16))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> (~(hskp1)) -> (~(c1_1 (a31))) -> (c2_1 (a31)) -> (c0_1 (a31)) -> (ndr1_0) -> (~(c3_1 (a19))) -> (~(c1_1 (a19))) -> (c2_1 (a19)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> False). % 1.07/1.29 do 0 intro. intros zenon_H1da zenon_H9d zenon_H1a9 zenon_H11f zenon_H120 zenon_H121 zenon_H144 zenon_H14a zenon_H97 zenon_H1ee zenon_H5d zenon_H5b zenon_H63 zenon_Hfc zenon_H17 zenon_H15 zenon_H42 zenon_Hd zenon_H1c2 zenon_H113 zenon_H100 zenon_Hfe zenon_Heb zenon_Hea zenon_He9 zenon_H1f0 zenon_H167 zenon_H48 zenon_H162 zenon_Hde zenon_H32 zenon_H33 zenon_H3c zenon_H1a zenon_Haf zenon_Hae zenon_Hb0 zenon_H1c6 zenon_Hd3 zenon_H1c1. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.07/1.29 apply (zenon_L142_); trivial. % 1.07/1.29 apply (zenon_L176_); trivial. % 1.07/1.29 (* end of lemma zenon_L177_ *) % 1.07/1.29 assert (zenon_L178_ : ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp27)\/(hskp26))) -> (c2_1 (a33)) -> (~(c0_1 (a33))) -> (ndr1_0) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6)))))) -> (~(hskp27)) -> (~(hskp26)) -> False). % 1.07/1.29 do 0 intro. intros zenon_H1f2 zenon_H16a zenon_H168 zenon_H1a zenon_H65 zenon_H59 zenon_H1b3. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H1f3 ]. % 1.07/1.29 apply (zenon_L143_); trivial. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H5a | zenon_intro zenon_H1b4 ]. % 1.07/1.29 exact (zenon_H59 zenon_H5a). % 1.07/1.29 exact (zenon_H1b3 zenon_H1b4). % 1.07/1.29 (* end of lemma zenon_L178_ *) % 1.07/1.29 assert (zenon_L179_ : ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp27)\/(hskp26))) -> (c3_1 (a33)) -> (c2_1 (a33)) -> (~(c0_1 (a33))) -> (ndr1_0) -> (forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))) -> (~(hskp27)) -> (~(hskp26)) -> False). % 1.07/1.29 do 0 intro. intros zenon_H1f2 zenon_H171 zenon_H16a zenon_H168 zenon_H1a zenon_H31 zenon_H59 zenon_H1b3. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H1f3 ]. % 1.07/1.29 apply (zenon_L92_); trivial. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H5a | zenon_intro zenon_H1b4 ]. % 1.07/1.29 exact (zenon_H59 zenon_H5a). % 1.07/1.29 exact (zenon_H1b3 zenon_H1b4). % 1.07/1.29 (* end of lemma zenon_L179_ *) % 1.07/1.29 assert (zenon_L180_ : ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (c1_1 (a37)) -> (~(c3_1 (a37))) -> (~(c0_1 (a37))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp27)\/(hskp26))) -> (c3_1 (a33)) -> (c2_1 (a33)) -> (~(c0_1 (a33))) -> (ndr1_0) -> (~(hskp27)) -> (~(hskp26)) -> False). % 1.07/1.29 do 0 intro. intros zenon_H95 zenon_H1d0 zenon_H1cf zenon_H1ce zenon_H1f2 zenon_H171 zenon_H16a zenon_H168 zenon_H1a zenon_H59 zenon_H1b3. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H65 | zenon_intro zenon_H96 ]. % 1.07/1.29 apply (zenon_L178_); trivial. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H7f | zenon_intro zenon_H31 ]. % 1.07/1.29 apply (zenon_L144_); trivial. % 1.07/1.29 apply (zenon_L179_); trivial. % 1.07/1.29 (* end of lemma zenon_L180_ *) % 1.07/1.29 assert (zenon_L181_ : ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> (~(c3_1 (a37))) -> (~(c0_1 (a37))) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V))))) -> (~(hskp14)) -> (~(hskp2)) -> (~(c2_1 (a16))) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((hskp2)\/(hskp14))) -> (ndr1_0) -> (c0_1 (a9)) -> (c1_1 (a9)) -> (c2_1 (a9)) -> False). % 1.07/1.29 do 0 intro. intros zenon_H1f0 zenon_H1cf zenon_H1ce zenon_H1e7 zenon_H100 zenon_Hfe zenon_He9 zenon_Hea zenon_Heb zenon_H113 zenon_H1a zenon_H13b zenon_H13c zenon_H13d. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H1ab | zenon_intro zenon_H1f1 ]. % 1.07/1.29 apply (zenon_L166_); trivial. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H1c ]. % 1.07/1.29 apply (zenon_L163_); trivial. % 1.07/1.29 apply (zenon_L83_); trivial. % 1.07/1.29 (* end of lemma zenon_L181_ *) % 1.07/1.29 assert (zenon_L182_ : ((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (c3_1 (a33)) -> (c1_1 (a37)) -> (~(c3_1 (a37))) -> (~(c0_1 (a37))) -> (~(c0_1 (a33))) -> (c2_1 (a33)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp27)\/(hskp26))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> (~(c2_1 (a16))) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> (~(hskp2)) -> (~(hskp14)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((hskp2)\/(hskp14))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp2)\/(hskp3))) -> (~(hskp3)) -> (~(c1_1 (a31))) -> (c2_1 (a31)) -> (c0_1 (a31)) -> (~(hskp10)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (c2_1 (a19)) -> (~(c3_1 (a19))) -> (~(c1_1 (a19))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a11))/\((c1_1 (a11))/\(c3_1 (a11)))))) -> False). % 1.07/1.29 do 0 intro. intros zenon_H148 zenon_H1c1 zenon_H95 zenon_H171 zenon_H1d0 zenon_H1cf zenon_H1ce zenon_H168 zenon_H16a zenon_H1f2 zenon_H1f0 zenon_He9 zenon_Hea zenon_Heb zenon_Hfe zenon_H100 zenon_H113 zenon_H10e zenon_H10b zenon_H32 zenon_H33 zenon_H3c zenon_H2d zenon_H43 zenon_Hd3 zenon_Hb0 zenon_Haf zenon_Hae zenon_H1ee zenon_H97. % 1.07/1.29 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H1a. zenon_intro zenon_H14b. % 1.07/1.29 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H13b. zenon_intro zenon_H14c. % 1.07/1.29 apply (zenon_and_s _ _ zenon_H14c). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1be ]. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H98 ]. % 1.07/1.29 apply (zenon_L180_); trivial. % 1.07/1.29 apply (zenon_and_s _ _ zenon_H98). zenon_intro zenon_H1a. zenon_intro zenon_H99. % 1.07/1.29 apply (zenon_and_s _ _ zenon_H99). zenon_intro zenon_H9b. zenon_intro zenon_H9a. % 1.07/1.29 apply (zenon_and_s _ _ zenon_H9a). zenon_intro zenon_H6f. zenon_intro zenon_H70. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H1ee); [ zenon_intro zenon_H1e7 | zenon_intro zenon_H1ef ]. % 1.07/1.29 apply (zenon_L181_); trivial. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H3b | zenon_intro zenon_H6d ]. % 1.07/1.29 apply (zenon_L162_); trivial. % 1.07/1.29 apply (zenon_L171_); trivial. % 1.07/1.29 apply (zenon_L134_); trivial. % 1.07/1.29 (* end of lemma zenon_L182_ *) % 1.07/1.29 assert (zenon_L183_ : ((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (c3_1 (a33)) -> (c1_1 (a37)) -> (~(c3_1 (a37))) -> (~(c0_1 (a37))) -> (~(c0_1 (a33))) -> (c2_1 (a33)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp27)\/(hskp26))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> (~(c2_1 (a16))) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> (~(hskp2)) -> (~(hskp14)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((hskp2)\/(hskp14))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp2)\/(hskp3))) -> (~(hskp3)) -> (~(c1_1 (a31))) -> (c2_1 (a31)) -> (c0_1 (a31)) -> (~(hskp10)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a11))/\((c1_1 (a11))/\(c3_1 (a11)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (c2_1 (a19)) -> (~(c3_1 (a19))) -> (~(c1_1 (a19))) -> (~(hskp4)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> False). % 1.07/1.29 do 0 intro. intros zenon_H41 zenon_H167 zenon_H95 zenon_H171 zenon_H1d0 zenon_H1cf zenon_H1ce zenon_H168 zenon_H16a zenon_H1f2 zenon_H1f0 zenon_He9 zenon_Hea zenon_Heb zenon_Hfe zenon_H100 zenon_H113 zenon_H10e zenon_H10b zenon_H32 zenon_H33 zenon_H3c zenon_H2d zenon_H43 zenon_H1ee zenon_H97 zenon_H1c2 zenon_Hd3 zenon_Hb0 zenon_Haf zenon_Hae zenon_Hd zenon_H42 zenon_H1c1. % 1.07/1.29 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H1a. zenon_intro zenon_H44. % 1.07/1.29 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H1d. zenon_intro zenon_H45. % 1.07/1.29 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H1e. zenon_intro zenon_H1f. % 1.07/1.29 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H12c | zenon_intro zenon_H148 ]. % 1.07/1.29 apply (zenon_L135_); trivial. % 1.07/1.29 apply (zenon_L182_); trivial. % 1.07/1.29 (* end of lemma zenon_L183_ *) % 1.07/1.29 assert (zenon_L184_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (c3_1 (a33)) -> (c1_1 (a37)) -> (~(c3_1 (a37))) -> (~(c0_1 (a37))) -> (~(c0_1 (a33))) -> (c2_1 (a33)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp27)\/(hskp26))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> (~(c2_1 (a16))) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> (~(hskp2)) -> (~(hskp14)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((hskp2)\/(hskp14))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp2)\/(hskp3))) -> (~(hskp3)) -> (~(c1_1 (a31))) -> (c2_1 (a31)) -> (c0_1 (a31)) -> (~(hskp10)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a11))/\((c1_1 (a11))/\(c3_1 (a11)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (c2_1 (a19)) -> (~(c3_1 (a19))) -> (~(c1_1 (a19))) -> (~(hskp4)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> (~(hskp23)) -> (~(hskp0)) -> ((hskp24)\/((hskp23)\/(hskp0))) -> False). % 1.07/1.30 do 0 intro. intros zenon_H48 zenon_H167 zenon_H95 zenon_H171 zenon_H1d0 zenon_H1cf zenon_H1ce zenon_H168 zenon_H16a zenon_H1f2 zenon_H1f0 zenon_He9 zenon_Hea zenon_Heb zenon_Hfe zenon_H100 zenon_H113 zenon_H10e zenon_H10b zenon_H32 zenon_H33 zenon_H3c zenon_H2d zenon_H43 zenon_H1ee zenon_H97 zenon_H1c2 zenon_Hd3 zenon_Hb0 zenon_Haf zenon_Hae zenon_Hd zenon_H42 zenon_H1c1 zenon_H13 zenon_H15 zenon_H17. % 1.07/1.30 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H11 | zenon_intro zenon_H41 ]. % 1.07/1.30 apply (zenon_L12_); trivial. % 1.07/1.30 apply (zenon_L183_); trivial. % 1.07/1.30 (* end of lemma zenon_L184_ *) % 1.07/1.30 assert (zenon_L185_ : ((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp27)\/(hskp12))) -> (~(hskp12)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(hskp0))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((hskp24)\/((hskp23)\/(hskp0))) -> (~(hskp0)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a11))/\((c1_1 (a11))/\(c3_1 (a11)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp10)) -> (~(hskp3)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp2)\/(hskp3))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((hskp2)\/(hskp14))) -> (~(hskp14)) -> (~(hskp2)) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (~(c2_1 (a16))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp27)\/(hskp26))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> (~(hskp1)) -> (~(c1_1 (a31))) -> (c2_1 (a31)) -> (c0_1 (a31)) -> (~(c3_1 (a19))) -> (~(c1_1 (a19))) -> (c2_1 (a19)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> False). % 1.07/1.30 do 0 intro. intros zenon_H176 zenon_H1da zenon_H9d zenon_H5d zenon_H5b zenon_H63 zenon_Hfc zenon_H17 zenon_H15 zenon_H42 zenon_Hd zenon_H1c2 zenon_H97 zenon_H1ee zenon_H43 zenon_H2d zenon_H10b zenon_H10e zenon_H113 zenon_H100 zenon_Hfe zenon_Heb zenon_Hea zenon_He9 zenon_H1f0 zenon_H1f2 zenon_H95 zenon_H167 zenon_H48 zenon_H162 zenon_Hde zenon_H32 zenon_H33 zenon_H3c zenon_Haf zenon_Hae zenon_Hb0 zenon_H1c6 zenon_Hd3 zenon_H1c1. % 1.07/1.30 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1a. zenon_intro zenon_H178. % 1.07/1.30 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H16a. zenon_intro zenon_H179. % 1.07/1.30 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H171. zenon_intro zenon_H168. % 1.07/1.30 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.07/1.30 apply (zenon_L142_); trivial. % 1.07/1.30 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H1a. zenon_intro zenon_H1d8. % 1.07/1.30 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1d0. zenon_intro zenon_H1d9. % 1.07/1.30 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1ce. zenon_intro zenon_H1cf. % 1.07/1.30 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H13 | zenon_intro zenon_Ha1 ]. % 1.07/1.30 apply (zenon_L184_); trivial. % 1.07/1.30 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H1a. zenon_intro zenon_Ha2. % 1.07/1.30 apply (zenon_and_s _ _ zenon_Ha2). zenon_intro zenon_H4d. zenon_intro zenon_Ha3. % 1.07/1.30 apply (zenon_and_s _ _ zenon_Ha3). zenon_intro zenon_H4a. zenon_intro zenon_H4c. % 1.07/1.30 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H12c | zenon_intro zenon_H148 ]. % 1.07/1.30 apply (zenon_L175_); trivial. % 1.07/1.30 apply (zenon_L182_); trivial. % 1.07/1.30 (* end of lemma zenon_L185_ *) % 1.07/1.30 assert (zenon_L186_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> (~(c2_1 (a21))) -> (~(c1_1 (a21))) -> (~(c0_1 (a21))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> (c3_1 (a14)) -> (c0_1 (a14)) -> (~(c2_1 (a14))) -> (ndr1_0) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> (~(hskp1)) -> ((hskp25)\/((hskp17)\/(hskp21))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp15)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> False). % 1.07/1.30 do 0 intro. intros zenon_H9c zenon_H63 zenon_H15 zenon_Ha6 zenon_Ha5 zenon_Ha4 zenon_H12a zenon_H121 zenon_H120 zenon_H11f zenon_H1a zenon_H166 zenon_H162 zenon_Hde zenon_H130 zenon_H14a zenon_H146 zenon_H149 zenon_H167 zenon_H177 zenon_H17b zenon_H17a. % 1.07/1.30 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.07/1.30 apply (zenon_L94_); trivial. % 1.07/1.30 apply (zenon_L42_); trivial. % 1.07/1.30 (* end of lemma zenon_L186_ *) % 1.07/1.30 assert (zenon_L187_ : (forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5)))))) -> (ndr1_0) -> (~(c3_1 (a25))) -> (c0_1 (a25)) -> (c1_1 (a25)) -> False). % 1.07/1.30 do 0 intro. intros zenon_H1f4 zenon_H1a zenon_H18e zenon_H18f zenon_H19a. % 1.07/1.30 generalize (zenon_H1f4 (a25)). zenon_intro zenon_H1f5. % 1.07/1.30 apply (zenon_imply_s _ _ zenon_H1f5); [ zenon_intro zenon_H19 | zenon_intro zenon_H1f6 ]. % 1.07/1.30 exact (zenon_H19 zenon_H1a). % 1.07/1.30 apply (zenon_or_s _ _ zenon_H1f6); [ zenon_intro zenon_H194 | zenon_intro zenon_H1f7 ]. % 1.07/1.30 exact (zenon_H18e zenon_H194). % 1.07/1.30 apply (zenon_or_s _ _ zenon_H1f7); [ zenon_intro zenon_H196 | zenon_intro zenon_H19e ]. % 1.07/1.30 exact (zenon_H196 zenon_H18f). % 1.07/1.30 exact (zenon_H19e zenon_H19a). % 1.07/1.30 (* end of lemma zenon_L187_ *) % 1.07/1.30 assert (zenon_L188_ : ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp24))) -> (~(c3_1 (a32))) -> (~(c1_1 (a32))) -> (~(c0_1 (a32))) -> (c1_1 (a25)) -> (c0_1 (a25)) -> (~(c3_1 (a25))) -> (ndr1_0) -> (~(hskp24)) -> False). % 1.07/1.30 do 0 intro. intros zenon_H1f8 zenon_H151 zenon_H150 zenon_H14f zenon_H19a zenon_H18f zenon_H18e zenon_H1a zenon_H11. % 1.07/1.30 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H1f9 ]. % 1.07/1.30 apply (zenon_L87_); trivial. % 1.07/1.30 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H12 ]. % 1.07/1.30 apply (zenon_L187_); trivial. % 1.07/1.30 exact (zenon_H11 zenon_H12). % 1.07/1.30 (* end of lemma zenon_L188_ *) % 1.07/1.30 assert (zenon_L189_ : ((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> (~(c1_1 (a19))) -> (~(c3_1 (a19))) -> (c2_1 (a19)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(c3_1 (a32))) -> (~(c1_1 (a32))) -> (~(c0_1 (a32))) -> False). % 1.07/1.30 do 0 intro. intros zenon_H41 zenon_H177 zenon_Hae zenon_Haf zenon_Hb0 zenon_Hd3 zenon_H151 zenon_H150 zenon_H14f. % 1.07/1.30 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H1a. zenon_intro zenon_H44. % 1.07/1.30 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H1d. zenon_intro zenon_H45. % 1.07/1.30 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H1e. zenon_intro zenon_H1f. % 1.07/1.30 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hd6 ]. % 1.07/1.30 apply (zenon_L87_); trivial. % 1.07/1.30 apply (zenon_L123_); trivial. % 1.07/1.30 (* end of lemma zenon_L189_ *) % 1.07/1.30 assert (zenon_L190_ : ((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> (~(c1_1 (a19))) -> (~(c3_1 (a19))) -> (c2_1 (a19)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(c3_1 (a25))) -> (c0_1 (a25)) -> (c1_1 (a25)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp24))) -> False). % 1.07/1.30 do 0 intro. intros zenon_H17c zenon_H48 zenon_H177 zenon_Hae zenon_Haf zenon_Hb0 zenon_Hd3 zenon_H18e zenon_H18f zenon_H19a zenon_H1f8. % 1.07/1.30 apply (zenon_and_s _ _ zenon_H17c). zenon_intro zenon_H1a. zenon_intro zenon_H17d. % 1.07/1.30 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H14f. zenon_intro zenon_H17e. % 1.07/1.30 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_H150. zenon_intro zenon_H151. % 1.07/1.30 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H11 | zenon_intro zenon_H41 ]. % 1.07/1.30 apply (zenon_L188_); trivial. % 1.07/1.30 apply (zenon_L189_); trivial. % 1.07/1.30 (* end of lemma zenon_L190_ *) % 1.07/1.30 assert (zenon_L191_ : ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> (~(c1_1 (a19))) -> (~(c3_1 (a19))) -> (c2_1 (a19)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(c3_1 (a25))) -> (c0_1 (a25)) -> (c1_1 (a25)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp24))) -> (ndr1_0) -> (~(c2_1 (a14))) -> (c0_1 (a14)) -> (c3_1 (a14)) -> (~(hskp17)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> False). % 1.07/1.30 do 0 intro. intros zenon_H17a zenon_H48 zenon_H177 zenon_Hae zenon_Haf zenon_Hb0 zenon_Hd3 zenon_H18e zenon_H18f zenon_H19a zenon_H1f8 zenon_H1a zenon_H11f zenon_H120 zenon_H121 zenon_H9 zenon_H12a. % 1.07/1.30 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H128 | zenon_intro zenon_H17c ]. % 1.07/1.30 apply (zenon_L78_); trivial. % 1.07/1.30 apply (zenon_L190_); trivial. % 1.07/1.30 (* end of lemma zenon_L191_ *) % 1.07/1.30 assert (zenon_L192_ : ((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(~(c3_1 (a25)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> (~(c2_1 (a21))) -> (~(c1_1 (a21))) -> (~(c0_1 (a21))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> (c3_1 (a14)) -> (c0_1 (a14)) -> (~(c2_1 (a14))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp24))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (c2_1 (a19)) -> (~(c3_1 (a19))) -> (~(c1_1 (a19))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> False). % 1.07/1.30 do 0 intro. intros zenon_H19f zenon_H9c zenon_H63 zenon_H15 zenon_Ha6 zenon_Ha5 zenon_Ha4 zenon_H12a zenon_H121 zenon_H120 zenon_H11f zenon_H1f8 zenon_Hd3 zenon_Hb0 zenon_Haf zenon_Hae zenon_H177 zenon_H48 zenon_H17a. % 1.07/1.30 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H1a. zenon_intro zenon_H1a0. % 1.07/1.30 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H18f. zenon_intro zenon_H1a1. % 1.07/1.30 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H19a. zenon_intro zenon_H18e. % 1.07/1.30 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.07/1.30 apply (zenon_L191_); trivial. % 1.07/1.30 apply (zenon_L42_); trivial. % 1.07/1.30 (* end of lemma zenon_L192_ *) % 1.07/1.30 assert (zenon_L193_ : ((ndr1_0)/\((~(c0_1 (a21)))/\((~(c1_1 (a21)))/\(~(c2_1 (a21)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(~(c3_1 (a25))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp24))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (c2_1 (a19)) -> (~(c3_1 (a19))) -> (~(c1_1 (a19))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((hskp25)\/((hskp17)\/(hskp21))) -> (~(hskp1)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> (~(c2_1 (a14))) -> (c0_1 (a14)) -> (c3_1 (a14)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(hskp0))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> False). % 1.07/1.30 do 0 intro. intros zenon_H1fa zenon_H1a2 zenon_H1f8 zenon_Hd3 zenon_Hb0 zenon_Haf zenon_Hae zenon_H48 zenon_H17a zenon_H17b zenon_H177 zenon_H167 zenon_H149 zenon_H14a zenon_H130 zenon_Hde zenon_H162 zenon_H166 zenon_H11f zenon_H120 zenon_H121 zenon_H12a zenon_H15 zenon_H63 zenon_H9c. % 1.07/1.30 apply (zenon_and_s _ _ zenon_H1fa). zenon_intro zenon_H1a. zenon_intro zenon_H1fb. % 1.07/1.30 apply (zenon_and_s _ _ zenon_H1fb). zenon_intro zenon_Ha4. zenon_intro zenon_H1fc. % 1.07/1.30 apply (zenon_and_s _ _ zenon_H1fc). zenon_intro zenon_Ha5. zenon_intro zenon_Ha6. % 1.07/1.30 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H146 | zenon_intro zenon_H19f ]. % 1.07/1.30 apply (zenon_L186_); trivial. % 1.07/1.30 apply (zenon_L192_); trivial. % 1.07/1.30 (* end of lemma zenon_L193_ *) % 1.07/1.30 assert (zenon_L194_ : (~(hskp16)) -> (hskp16) -> False). % 1.07/1.30 do 0 intro. intros zenon_H1fd zenon_H1fe. % 1.07/1.30 exact (zenon_H1fd zenon_H1fe). % 1.07/1.30 (* end of lemma zenon_L194_ *) % 1.07/1.30 assert (zenon_L195_ : ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((hskp26)\/(hskp16))) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (~(c2_1 (a16))) -> (ndr1_0) -> (~(hskp26)) -> (~(hskp16)) -> False). % 1.07/1.30 do 0 intro. intros zenon_H1ff zenon_Heb zenon_Hea zenon_He9 zenon_H1a zenon_H1b3 zenon_H1fd. % 1.07/1.30 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_He8 | zenon_intro zenon_H200 ]. % 1.07/1.30 apply (zenon_L63_); trivial. % 1.07/1.30 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H1b4 | zenon_intro zenon_H1fe ]. % 1.07/1.30 exact (zenon_H1b3 zenon_H1b4). % 1.07/1.30 exact (zenon_H1fd zenon_H1fe). % 1.07/1.30 (* end of lemma zenon_L195_ *) % 1.07/1.30 assert (zenon_L196_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((hskp2)\/(hskp14))) -> (~(hskp14)) -> (~(hskp2)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (ndr1_0) -> (~(c2_1 (a16))) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> (~(hskp16)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((hskp26)\/(hskp16))) -> False). % 1.07/1.30 do 0 intro. intros zenon_H1c1 zenon_H113 zenon_H100 zenon_Hfe zenon_Hfc zenon_H1a zenon_He9 zenon_Hea zenon_Heb zenon_H1fd zenon_H1ff. % 1.07/1.30 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1be ]. % 1.07/1.30 apply (zenon_L195_); trivial. % 1.07/1.30 apply (zenon_L174_); trivial. % 1.07/1.30 (* end of lemma zenon_L196_ *) % 1.07/1.30 assert (zenon_L197_ : ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> (c2_1 (a18)) -> (c0_1 (a18)) -> (~(c3_1 (a18))) -> (ndr1_0) -> (~(hskp26)) -> (~(hskp20)) -> False). % 1.07/1.30 do 0 intro. intros zenon_H1c6 zenon_Hc2 zenon_He0 zenon_Hc1 zenon_H1a zenon_H1b3 zenon_H1c4. % 1.07/1.30 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H8e | zenon_intro zenon_H1c7 ]. % 1.07/1.30 apply (zenon_L59_); trivial. % 1.07/1.30 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H1b4 | zenon_intro zenon_H1c5 ]. % 1.07/1.30 exact (zenon_H1b3 zenon_H1b4). % 1.07/1.30 exact (zenon_H1c4 zenon_H1c5). % 1.07/1.30 (* end of lemma zenon_L197_ *) % 1.07/1.30 assert (zenon_L198_ : (forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21)))))) -> (ndr1_0) -> (~(c0_1 (a30))) -> (~(c2_1 (a30))) -> (c1_1 (a30)) -> False). % 1.07/1.30 do 0 intro. intros zenon_Hb9 zenon_H1a zenon_H201 zenon_H202 zenon_H203. % 1.07/1.30 generalize (zenon_Hb9 (a30)). zenon_intro zenon_H204. % 1.07/1.30 apply (zenon_imply_s _ _ zenon_H204); [ zenon_intro zenon_H19 | zenon_intro zenon_H205 ]. % 1.07/1.30 exact (zenon_H19 zenon_H1a). % 1.07/1.30 apply (zenon_or_s _ _ zenon_H205); [ zenon_intro zenon_H207 | zenon_intro zenon_H206 ]. % 1.07/1.30 exact (zenon_H201 zenon_H207). % 1.07/1.30 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H209 | zenon_intro zenon_H208 ]. % 1.07/1.30 exact (zenon_H202 zenon_H209). % 1.07/1.30 exact (zenon_H208 zenon_H203). % 1.07/1.30 (* end of lemma zenon_L198_ *) % 1.07/1.30 assert (zenon_L199_ : ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (c3_1 (a10)) -> (c2_1 (a10)) -> (c0_1 (a10)) -> (c2_1 (a18)) -> (~(c3_1 (a18))) -> (forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22)))))) -> (ndr1_0) -> False). % 1.07/1.30 do 0 intro. intros zenon_Hd3 zenon_H1b7 zenon_H1b6 zenon_H1b5 zenon_Hc2 zenon_Hc1 zenon_Hc0 zenon_H1a. % 1.07/1.30 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_Had | zenon_intro zenon_Hcd ]. % 1.07/1.30 apply (zenon_L47_); trivial. % 1.07/1.30 apply (zenon_L133_); trivial. % 1.07/1.30 (* end of lemma zenon_L199_ *) % 1.07/1.30 assert (zenon_L200_ : ((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp5))) -> (c1_1 (a30)) -> (~(c2_1 (a30))) -> (~(c0_1 (a30))) -> (~(c3_1 (a18))) -> (c2_1 (a18)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(hskp5)) -> False). % 1.07/1.30 do 0 intro. intros zenon_H1be zenon_Hdc zenon_H203 zenon_H202 zenon_H201 zenon_Hc1 zenon_Hc2 zenon_Hd3 zenon_Hd4. % 1.07/1.30 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H1a. zenon_intro zenon_H1bf. % 1.07/1.30 apply (zenon_and_s _ _ zenon_H1bf). zenon_intro zenon_H1b5. zenon_intro zenon_H1c0. % 1.07/1.30 apply (zenon_and_s _ _ zenon_H1c0). zenon_intro zenon_H1b6. zenon_intro zenon_H1b7. % 1.07/1.30 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hdd ]. % 1.07/1.30 apply (zenon_L198_); trivial. % 1.07/1.30 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hd5 ]. % 1.07/1.30 apply (zenon_L199_); trivial. % 1.07/1.30 exact (zenon_Hd4 zenon_Hd5). % 1.07/1.30 (* end of lemma zenon_L200_ *) % 1.07/1.30 assert (zenon_L201_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (c1_1 (a30)) -> (~(c2_1 (a30))) -> (~(c0_1 (a30))) -> (ndr1_0) -> (~(c3_1 (a18))) -> (c0_1 (a18)) -> (c2_1 (a18)) -> (~(hskp20)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> False). % 1.07/1.30 do 0 intro. intros zenon_H1c1 zenon_Hdc zenon_Hd4 zenon_Hd3 zenon_H203 zenon_H202 zenon_H201 zenon_H1a zenon_Hc1 zenon_He0 zenon_Hc2 zenon_H1c4 zenon_H1c6. % 1.07/1.30 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1be ]. % 1.07/1.30 apply (zenon_L197_); trivial. % 1.07/1.30 apply (zenon_L200_); trivial. % 1.07/1.30 (* end of lemma zenon_L201_ *) % 1.07/1.30 assert (zenon_L202_ : ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (c2_1 (a3)) -> (c3_1 (a3)) -> (c1_1 (a3)) -> (forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32)))))) -> (c2_1 (a18)) -> (~(c3_1 (a18))) -> (forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22)))))) -> (ndr1_0) -> False). % 1.07/1.30 do 0 intro. intros zenon_Hd3 zenon_H1e zenon_H1f zenon_H1d zenon_H1b zenon_Hc2 zenon_Hc1 zenon_Hc0 zenon_H1a. % 1.07/1.30 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_Had | zenon_intro zenon_Hcd ]. % 1.07/1.30 apply (zenon_L47_); trivial. % 1.07/1.30 apply (zenon_L128_); trivial. % 1.07/1.30 (* end of lemma zenon_L202_ *) % 1.07/1.30 assert (zenon_L203_ : ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (c2_1 (a31)) -> (c0_1 (a31)) -> (~(c1_1 (a31))) -> (forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10)))))) -> (c2_1 (a18)) -> (~(c3_1 (a18))) -> (forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22)))))) -> (ndr1_0) -> False). % 1.07/1.30 do 0 intro. intros zenon_Hd3 zenon_H33 zenon_H3c zenon_H32 zenon_H3b zenon_Hc2 zenon_Hc1 zenon_Hc0 zenon_H1a. % 1.07/1.30 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_Had | zenon_intro zenon_Hcd ]. % 1.07/1.30 apply (zenon_L47_); trivial. % 1.07/1.30 apply (zenon_L155_); trivial. % 1.07/1.30 (* end of lemma zenon_L203_ *) % 1.07/1.30 assert (zenon_L204_ : ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> (c1_1 (a3)) -> (c3_1 (a3)) -> (c2_1 (a3)) -> (ndr1_0) -> (forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22)))))) -> (~(c3_1 (a18))) -> (c2_1 (a18)) -> (~(c1_1 (a31))) -> (c0_1 (a31)) -> (c2_1 (a31)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(hskp4)) -> False). % 1.07/1.30 do 0 intro. intros zenon_H42 zenon_H1d zenon_H1f zenon_H1e zenon_H1a zenon_Hc0 zenon_Hc1 zenon_Hc2 zenon_H32 zenon_H3c zenon_H33 zenon_Hd3 zenon_Hd. % 1.07/1.30 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H1b | zenon_intro zenon_H46 ]. % 1.07/1.30 apply (zenon_L202_); trivial. % 1.07/1.30 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_He ]. % 1.07/1.30 apply (zenon_L203_); trivial. % 1.07/1.30 exact (zenon_Hd zenon_He). % 1.07/1.30 (* end of lemma zenon_L204_ *) % 1.07/1.30 assert (zenon_L205_ : ((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp5))) -> (c1_1 (a30)) -> (~(c2_1 (a30))) -> (~(c0_1 (a30))) -> (~(hskp4)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (c2_1 (a31)) -> (c0_1 (a31)) -> (~(c1_1 (a31))) -> (c2_1 (a18)) -> (~(c3_1 (a18))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> (~(hskp5)) -> False). % 1.07/1.30 do 0 intro. intros zenon_H41 zenon_Hdc zenon_H203 zenon_H202 zenon_H201 zenon_Hd zenon_Hd3 zenon_H33 zenon_H3c zenon_H32 zenon_Hc2 zenon_Hc1 zenon_H42 zenon_Hd4. % 1.07/1.30 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H1a. zenon_intro zenon_H44. % 1.07/1.30 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H1d. zenon_intro zenon_H45. % 1.07/1.30 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H1e. zenon_intro zenon_H1f. % 1.07/1.30 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hdd ]. % 1.07/1.30 apply (zenon_L198_); trivial. % 1.07/1.30 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hd5 ]. % 1.07/1.30 apply (zenon_L204_); trivial. % 1.07/1.30 exact (zenon_Hd4 zenon_Hd5). % 1.07/1.30 (* end of lemma zenon_L205_ *) % 1.07/1.30 assert (zenon_L206_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (c2_1 (a18)) -> (~(c3_1 (a18))) -> (c2_1 (a31)) -> (c0_1 (a31)) -> (~(c1_1 (a31))) -> (~(hskp4)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> (c1_1 (a30)) -> (~(c2_1 (a30))) -> (~(c0_1 (a30))) -> (~(hskp23)) -> (~(hskp0)) -> ((hskp24)\/((hskp23)\/(hskp0))) -> False). % 1.07/1.30 do 0 intro. intros zenon_H48 zenon_Hdc zenon_Hd4 zenon_Hd3 zenon_Hc2 zenon_Hc1 zenon_H33 zenon_H3c zenon_H32 zenon_Hd zenon_H42 zenon_H203 zenon_H202 zenon_H201 zenon_H13 zenon_H15 zenon_H17. % 1.07/1.30 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H11 | zenon_intro zenon_H41 ]. % 1.07/1.30 apply (zenon_L12_); trivial. % 1.07/1.30 apply (zenon_L205_); trivial. % 1.07/1.30 (* end of lemma zenon_L206_ *) % 1.07/1.30 assert (zenon_L207_ : (forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44)))))) -> (ndr1_0) -> (forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))) -> (c0_1 (a18)) -> (c2_1 (a18)) -> (~(c3_1 (a18))) -> False). % 1.07/1.30 do 0 intro. intros zenon_Had zenon_H1a zenon_H1c zenon_He0 zenon_Hc2 zenon_Hc1. % 1.07/1.30 generalize (zenon_Had (a18)). zenon_intro zenon_Hc3. % 1.07/1.30 apply (zenon_imply_s _ _ zenon_Hc3); [ zenon_intro zenon_H19 | zenon_intro zenon_Hc4 ]. % 1.07/1.30 exact (zenon_H19 zenon_H1a). % 1.07/1.30 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hc5 ]. % 1.07/1.30 apply (zenon_L149_); trivial. % 1.07/1.30 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_Hca | zenon_intro zenon_Hcb ]. % 1.07/1.30 exact (zenon_Hc1 zenon_Hca). % 1.07/1.30 exact (zenon_Hcb zenon_Hc2). % 1.07/1.30 (* end of lemma zenon_L207_ *) % 1.07/1.30 assert (zenon_L208_ : ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c3_1 (a14)) -> (c0_1 (a14)) -> (forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14)))))) -> (~(c2_1 (a14))) -> (~(c3_1 (a18))) -> (c2_1 (a18)) -> (c0_1 (a18)) -> (ndr1_0) -> (forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44)))))) -> (~(hskp19)) -> False). % 1.07/1.30 do 0 intro. intros zenon_H14a zenon_H121 zenon_H120 zenon_Hf2 zenon_H11f zenon_Hc1 zenon_Hc2 zenon_He0 zenon_H1a zenon_Had zenon_H144. % 1.07/1.30 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_H6d | zenon_intro zenon_H14e ]. % 1.07/1.30 apply (zenon_L109_); trivial. % 1.07/1.30 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H1c | zenon_intro zenon_H145 ]. % 1.07/1.30 apply (zenon_L207_); trivial. % 1.07/1.30 exact (zenon_H144 zenon_H145). % 1.07/1.30 (* end of lemma zenon_L208_ *) % 1.07/1.30 assert (zenon_L209_ : ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (c2_1 (a31)) -> (c0_1 (a31)) -> (~(c1_1 (a31))) -> (forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10)))))) -> (ndr1_0) -> (~(c2_1 (a14))) -> (forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14)))))) -> (c0_1 (a14)) -> (c3_1 (a14)) -> (c0_1 (a18)) -> (c2_1 (a18)) -> (~(c3_1 (a18))) -> (~(hskp19)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> False). % 1.07/1.30 do 0 intro. intros zenon_Hd3 zenon_H33 zenon_H3c zenon_H32 zenon_H3b zenon_H1a zenon_H11f zenon_Hf2 zenon_H120 zenon_H121 zenon_He0 zenon_Hc2 zenon_Hc1 zenon_H144 zenon_H14a. % 1.07/1.30 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_Had | zenon_intro zenon_Hcd ]. % 1.07/1.30 apply (zenon_L208_); trivial. % 1.07/1.30 apply (zenon_L155_); trivial. % 1.07/1.30 (* end of lemma zenon_L209_ *) % 1.07/1.30 assert (zenon_L210_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> (~(hskp26)) -> (~(hskp25)) -> (~(c0_1 (a37))) -> (~(c3_1 (a37))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp19)) -> (~(c3_1 (a18))) -> (c2_1 (a18)) -> (c0_1 (a18)) -> (~(c1_1 (a31))) -> (c0_1 (a31)) -> (c2_1 (a31)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (ndr1_0) -> (~(c2_1 (a14))) -> (forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14)))))) -> (c0_1 (a14)) -> (c3_1 (a14)) -> False). % 1.07/1.30 do 0 intro. intros zenon_H1ee zenon_H1b3 zenon_H12c zenon_H1ce zenon_H1cf zenon_H1c2 zenon_H14a zenon_H144 zenon_Hc1 zenon_Hc2 zenon_He0 zenon_H32 zenon_H3c zenon_H33 zenon_Hd3 zenon_H1a zenon_H11f zenon_Hf2 zenon_H120 zenon_H121. % 1.07/1.30 apply (zenon_or_s _ _ zenon_H1ee); [ zenon_intro zenon_H1e7 | zenon_intro zenon_H1ef ]. % 1.07/1.30 apply (zenon_L167_); trivial. % 1.07/1.30 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H3b | zenon_intro zenon_H6d ]. % 1.07/1.30 apply (zenon_L209_); trivial. % 1.07/1.30 apply (zenon_L109_); trivial. % 1.07/1.30 (* end of lemma zenon_L210_ *) % 1.07/1.30 assert (zenon_L211_ : ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> (c3_1 (a53)) -> (~(c1_1 (a53))) -> (~(c0_1 (a53))) -> (c3_1 (a14)) -> (c0_1 (a14)) -> (~(c2_1 (a14))) -> (ndr1_0) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (c2_1 (a31)) -> (c0_1 (a31)) -> (~(c1_1 (a31))) -> (c0_1 (a18)) -> (c2_1 (a18)) -> (~(c3_1 (a18))) -> (~(hskp19)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> (~(c3_1 (a37))) -> (~(c0_1 (a37))) -> (~(hskp25)) -> (~(hskp26)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> (~(hskp4)) -> False). % 1.07/1.30 do 0 intro. intros zenon_H1a9 zenon_H4d zenon_H4c zenon_H4a zenon_H121 zenon_H120 zenon_H11f zenon_H1a zenon_Hd3 zenon_H33 zenon_H3c zenon_H32 zenon_He0 zenon_Hc2 zenon_Hc1 zenon_H144 zenon_H14a zenon_H1c2 zenon_H1cf zenon_H1ce zenon_H12c zenon_H1b3 zenon_H1ee zenon_Hd. % 1.07/1.30 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H1aa ]. % 1.07/1.30 apply (zenon_L125_); trivial. % 1.07/1.30 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_Hf2 | zenon_intro zenon_He ]. % 1.07/1.30 apply (zenon_L210_); trivial. % 1.07/1.30 exact (zenon_Hd zenon_He). % 1.07/1.30 (* end of lemma zenon_L211_ *) % 1.07/1.30 assert (zenon_L212_ : ((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> (~(c3_1 (a37))) -> (~(c0_1 (a37))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (c2_1 (a31)) -> (c0_1 (a31)) -> (~(c1_1 (a31))) -> (~(c2_1 (a14))) -> (c0_1 (a14)) -> (c3_1 (a14)) -> (c0_1 (a18)) -> (c2_1 (a18)) -> (~(c3_1 (a18))) -> (~(hskp19)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (~(c2_1 (a16))) -> (~(hskp2)) -> (~(hskp14)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((hskp2)\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> False). % 1.07/1.30 do 0 intro. intros zenon_Ha1 zenon_H167 zenon_H1a9 zenon_Hd zenon_H1c2 zenon_H1cf zenon_H1ce zenon_Hd3 zenon_H33 zenon_H3c zenon_H32 zenon_H11f zenon_H120 zenon_H121 zenon_He0 zenon_Hc2 zenon_Hc1 zenon_H144 zenon_H14a zenon_H1ee zenon_Hfc zenon_Heb zenon_Hea zenon_He9 zenon_Hfe zenon_H100 zenon_H113 zenon_H1c1. % 1.07/1.30 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H1a. zenon_intro zenon_Ha2. % 1.07/1.30 apply (zenon_and_s _ _ zenon_Ha2). zenon_intro zenon_H4d. zenon_intro zenon_Ha3. % 1.07/1.30 apply (zenon_and_s _ _ zenon_Ha3). zenon_intro zenon_H4a. zenon_intro zenon_H4c. % 1.07/1.30 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H12c | zenon_intro zenon_H148 ]. % 1.07/1.30 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1be ]. % 1.07/1.30 apply (zenon_L211_); trivial. % 1.07/1.30 apply (zenon_L174_); trivial. % 1.07/1.30 apply (zenon_L137_); trivial. % 1.07/1.30 (* end of lemma zenon_L212_ *) % 1.07/1.30 assert (zenon_L213_ : ((~(hskp16))\/((ndr1_0)/\((c1_1 (a30))/\((~(c0_1 (a30)))/\(~(c2_1 (a30))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(c3_1 (a18))) -> (c0_1 (a18)) -> (c2_1 (a18)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> (~(hskp0)) -> ((hskp24)\/((hskp23)\/(hskp0))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c3_1 (a14)) -> (c0_1 (a14)) -> (~(c2_1 (a14))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> (~(hskp8)) -> (~(hskp4)) -> ((hskp17)\/((hskp8)\/(hskp4))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((hskp26)\/(hskp16))) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (~(c2_1 (a16))) -> (ndr1_0) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(hskp2)) -> (~(hskp14)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((hskp2)\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> False). % 1.07/1.30 do 0 intro. intros zenon_H20a zenon_H9c zenon_H17b zenon_H93 zenon_H91 zenon_Hdc zenon_Hd4 zenon_Hd3 zenon_Hc1 zenon_He0 zenon_Hc2 zenon_H1c6 zenon_H48 zenon_H42 zenon_H15 zenon_H17 zenon_H1ee zenon_H14a zenon_H121 zenon_H120 zenon_H11f zenon_H1c2 zenon_H1a9 zenon_H167 zenon_H9d zenon_H1da zenon_Hb zenon_Hd zenon_Hf zenon_H1ff zenon_Heb zenon_Hea zenon_He9 zenon_H1a zenon_Hfc zenon_Hfe zenon_H100 zenon_H113 zenon_H1c1. % 1.07/1.30 apply (zenon_or_s _ _ zenon_H20a); [ zenon_intro zenon_H1fd | zenon_intro zenon_H20b ]. % 1.07/1.30 apply (zenon_L196_); trivial. % 1.07/1.30 apply (zenon_and_s _ _ zenon_H20b). zenon_intro zenon_H1a. zenon_intro zenon_H20c. % 1.07/1.30 apply (zenon_and_s _ _ zenon_H20c). zenon_intro zenon_H203. zenon_intro zenon_H20d. % 1.07/1.30 apply (zenon_and_s _ _ zenon_H20d). zenon_intro zenon_H201. zenon_intro zenon_H202. % 1.07/1.30 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.07/1.30 apply (zenon_L8_); trivial. % 1.07/1.30 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.07/1.30 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.07/1.30 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.07/1.30 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.07/1.30 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.07/1.30 apply (zenon_L201_); trivial. % 1.07/1.30 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H1a. zenon_intro zenon_H1d8. % 1.07/1.30 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1d0. zenon_intro zenon_H1d9. % 1.07/1.30 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1ce. zenon_intro zenon_H1cf. % 1.07/1.30 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H13 | zenon_intro zenon_Ha1 ]. % 1.07/1.30 apply (zenon_L206_); trivial. % 1.07/1.30 apply (zenon_L212_); trivial. % 1.07/1.30 apply (zenon_L153_); trivial. % 1.07/1.30 (* end of lemma zenon_L213_ *) % 1.07/1.30 assert (zenon_L214_ : ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> (c2_1 (a19)) -> (~(c3_1 (a19))) -> (~(c1_1 (a19))) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (~(c2_1 (a16))) -> (forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14)))))) -> (forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10)))))) -> (ndr1_0) -> (c0_1 (a18)) -> (c2_1 (a18)) -> (~(c3_1 (a18))) -> False). % 1.07/1.30 do 0 intro. intros zenon_H1f0 zenon_Hb0 zenon_Haf zenon_Hae zenon_Heb zenon_Hea zenon_He9 zenon_Hf2 zenon_H3b zenon_H1a zenon_He0 zenon_Hc2 zenon_Hc1. % 1.07/1.30 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H1ab | zenon_intro zenon_H1f1 ]. % 1.07/1.30 apply (zenon_L130_); trivial. % 1.07/1.30 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H1c ]. % 1.07/1.30 apply (zenon_L64_); trivial. % 1.07/1.30 apply (zenon_L150_); trivial. % 1.07/1.30 (* end of lemma zenon_L214_ *) % 1.07/1.30 assert (zenon_L215_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> (c2_1 (a9)) -> (c1_1 (a9)) -> (c0_1 (a9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((hskp2)\/(hskp14))) -> (~(hskp2)) -> (~(hskp14)) -> (~(c0_1 (a37))) -> (~(c3_1 (a37))) -> (~(c3_1 (a18))) -> (c2_1 (a18)) -> (c0_1 (a18)) -> (~(c2_1 (a16))) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> (~(c1_1 (a19))) -> (~(c3_1 (a19))) -> (c2_1 (a19)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> (ndr1_0) -> (~(c2_1 (a14))) -> (forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14)))))) -> (c0_1 (a14)) -> (c3_1 (a14)) -> False). % 1.14/1.30 do 0 intro. intros zenon_H1ee zenon_H13d zenon_H13c zenon_H13b zenon_H113 zenon_Hfe zenon_H100 zenon_H1ce zenon_H1cf zenon_Hc1 zenon_Hc2 zenon_He0 zenon_He9 zenon_Hea zenon_Heb zenon_Hae zenon_Haf zenon_Hb0 zenon_H1f0 zenon_H1a zenon_H11f zenon_Hf2 zenon_H120 zenon_H121. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H1ee); [ zenon_intro zenon_H1e7 | zenon_intro zenon_H1ef ]. % 1.14/1.30 apply (zenon_L181_); trivial. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H3b | zenon_intro zenon_H6d ]. % 1.14/1.30 apply (zenon_L214_); trivial. % 1.14/1.30 apply (zenon_L109_); trivial. % 1.14/1.30 (* end of lemma zenon_L215_ *) % 1.14/1.30 assert (zenon_L216_ : ((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> (c3_1 (a53)) -> (~(c1_1 (a53))) -> (~(c0_1 (a53))) -> (c3_1 (a14)) -> (c0_1 (a14)) -> (~(c2_1 (a14))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> (c2_1 (a19)) -> (~(c3_1 (a19))) -> (~(c1_1 (a19))) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (~(c2_1 (a16))) -> (c0_1 (a18)) -> (c2_1 (a18)) -> (~(c3_1 (a18))) -> (~(c3_1 (a37))) -> (~(c0_1 (a37))) -> (~(hskp14)) -> (~(hskp2)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((hskp2)\/(hskp14))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> (~(hskp4)) -> False). % 1.14/1.30 do 0 intro. intros zenon_H148 zenon_H1a9 zenon_H4d zenon_H4c zenon_H4a zenon_H121 zenon_H120 zenon_H11f zenon_H1f0 zenon_Hb0 zenon_Haf zenon_Hae zenon_Heb zenon_Hea zenon_He9 zenon_He0 zenon_Hc2 zenon_Hc1 zenon_H1cf zenon_H1ce zenon_H100 zenon_Hfe zenon_H113 zenon_H1ee zenon_Hd. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H1a. zenon_intro zenon_H14b. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H13b. zenon_intro zenon_H14c. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H14c). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H1aa ]. % 1.14/1.30 apply (zenon_L125_); trivial. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_Hf2 | zenon_intro zenon_He ]. % 1.14/1.30 apply (zenon_L215_); trivial. % 1.14/1.30 exact (zenon_Hd zenon_He). % 1.14/1.30 (* end of lemma zenon_L216_ *) % 1.14/1.30 assert (zenon_L217_ : ((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> (~(c3_1 (a18))) -> (c2_1 (a18)) -> (c0_1 (a18)) -> (~(c2_1 (a14))) -> (c0_1 (a14)) -> (c3_1 (a14)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a11))/\((c1_1 (a11))/\(c3_1 (a11)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(c1_1 (a19))) -> (~(c3_1 (a19))) -> (c2_1 (a19)) -> (~(c0_1 (a37))) -> (~(c3_1 (a37))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp27)\/(hskp12))) -> (~(hskp12)) -> (~(c1_1 (a31))) -> (c0_1 (a31)) -> (c2_1 (a31)) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(hskp0))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (~(c2_1 (a16))) -> (~(hskp2)) -> (~(hskp14)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((hskp2)\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> False). % 1.14/1.30 do 0 intro. intros zenon_Ha1 zenon_H167 zenon_H1a9 zenon_Hd zenon_H1f0 zenon_Hc1 zenon_Hc2 zenon_He0 zenon_H11f zenon_H120 zenon_H121 zenon_H97 zenon_H1ee zenon_Hd3 zenon_Hae zenon_Haf zenon_Hb0 zenon_H1ce zenon_H1cf zenon_H1c2 zenon_H5d zenon_H5b zenon_H32 zenon_H3c zenon_H33 zenon_H15 zenon_H63 zenon_Hfc zenon_Heb zenon_Hea zenon_He9 zenon_Hfe zenon_H100 zenon_H113 zenon_H1c1. % 1.14/1.30 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H1a. zenon_intro zenon_Ha2. % 1.14/1.30 apply (zenon_and_s _ _ zenon_Ha2). zenon_intro zenon_H4d. zenon_intro zenon_Ha3. % 1.14/1.30 apply (zenon_and_s _ _ zenon_Ha3). zenon_intro zenon_H4a. zenon_intro zenon_H4c. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H12c | zenon_intro zenon_H148 ]. % 1.14/1.30 apply (zenon_L175_); trivial. % 1.14/1.30 apply (zenon_L216_); trivial. % 1.14/1.30 (* end of lemma zenon_L217_ *) % 1.14/1.30 assert (zenon_L218_ : ((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> (c0_1 (a18)) -> (~(c2_1 (a14))) -> (c0_1 (a14)) -> (c3_1 (a14)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a11))/\((c1_1 (a11))/\(c3_1 (a11)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp27)\/(hskp12))) -> (~(hskp12)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(hskp0))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (~(c2_1 (a16))) -> (~(hskp2)) -> (~(hskp14)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((hskp2)\/(hskp14))) -> ((hskp24)\/((hskp23)\/(hskp0))) -> (~(hskp0)) -> (~(c0_1 (a30))) -> (~(c2_1 (a30))) -> (c1_1 (a30)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> (~(hskp4)) -> (~(c3_1 (a18))) -> (c2_1 (a18)) -> (~(hskp5)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp5))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> (~(hskp1)) -> (~(c3_1 (a19))) -> (~(c1_1 (a19))) -> (c2_1 (a19)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> False). % 1.14/1.30 do 0 intro. intros zenon_H9e zenon_H1da zenon_H9d zenon_H167 zenon_H1a9 zenon_H1f0 zenon_He0 zenon_H11f zenon_H120 zenon_H121 zenon_H97 zenon_H1ee zenon_H1c2 zenon_H5d zenon_H5b zenon_H63 zenon_Hfc zenon_Heb zenon_Hea zenon_He9 zenon_Hfe zenon_H100 zenon_H113 zenon_H17 zenon_H15 zenon_H201 zenon_H202 zenon_H203 zenon_H42 zenon_Hd zenon_Hc1 zenon_Hc2 zenon_Hd4 zenon_Hdc zenon_H48 zenon_H162 zenon_Hde zenon_Haf zenon_Hae zenon_Hb0 zenon_H1c6 zenon_Hd3 zenon_H1c1. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.14/1.30 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.14/1.30 apply (zenon_L142_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H1a. zenon_intro zenon_H1d8. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1d0. zenon_intro zenon_H1d9. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1ce. zenon_intro zenon_H1cf. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H13 | zenon_intro zenon_Ha1 ]. % 1.14/1.30 apply (zenon_L206_); trivial. % 1.14/1.30 apply (zenon_L217_); trivial. % 1.14/1.30 (* end of lemma zenon_L218_ *) % 1.14/1.30 assert (zenon_L219_ : ((ndr1_0)/\((c0_1 (a15))/\((~(c1_1 (a15)))/\(~(c2_1 (a15)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a24))/\((~(c0_1 (a24)))/\(~(c1_1 (a24))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp2)\/(hskp3))) -> (~(hskp3)) -> (~(hskp2)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((hskp2)\/(hskp14))) -> False). % 1.14/1.30 do 0 intro. intros zenon_H20e zenon_H112 zenon_H10e zenon_H10b zenon_Hfe zenon_H113. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H20e). zenon_intro zenon_H1a. zenon_intro zenon_H20f. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H20f). zenon_intro zenon_H117. zenon_intro zenon_H210. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H210). zenon_intro zenon_H115. zenon_intro zenon_H116. % 1.14/1.30 apply (zenon_L75_); trivial. % 1.14/1.30 (* end of lemma zenon_L219_ *) % 1.14/1.30 assert (zenon_L220_ : ((~(hskp8))\/((ndr1_0)/\((c0_1 (a15))/\((~(c1_1 (a15)))/\(~(c2_1 (a15))))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a18))/\((c2_1 (a18))/\(~(c3_1 (a18))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a24))/\((~(c0_1 (a24)))/\(~(c1_1 (a24))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp0)) -> ((hskp24)\/((hskp23)\/(hskp0))) -> (~(hskp2)) -> (~(hskp3)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp2)\/(hskp3))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> (c3_1 (a14)) -> (c0_1 (a14)) -> (~(c2_1 (a14))) -> (ndr1_0) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> (~(hskp1)) -> ((hskp25)\/((hskp17)\/(hskp21))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> ((hskp17)\/((hskp8)\/(hskp4))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(hskp0))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((hskp2)\/(hskp14))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(~(c3_1 (a25))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((hskp9)\/(hskp24))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp8)\/(hskp9))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a19))/\((~(c1_1 (a19)))/\(~(c3_1 (a19))))))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a21)))/\((~(c1_1 (a21)))/\(~(c2_1 (a21))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp24))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp27)\/(hskp26))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp27)\/(hskp12))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a11))/\((c1_1 (a11))/\(c3_1 (a11)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((hskp26)\/(hskp16))) -> (~(hskp5)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp5))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a30))/\((~(c0_1 (a30)))/\(~(c2_1 (a30))))))) -> ((~(hskp9))\/((ndr1_0)/\((c0_1 (a16))/\((~(c2_1 (a16)))/\(~(c3_1 (a16))))))) -> False). % 1.14/1.30 do 0 intro. intros zenon_H211 zenon_H212 zenon_H1e0 zenon_H112 zenon_H9c zenon_H93 zenon_H48 zenon_H42 zenon_Hd zenon_H43 zenon_H15 zenon_H17 zenon_Hfe zenon_H10b zenon_H10e zenon_H9d zenon_H12a zenon_H121 zenon_H120 zenon_H11f zenon_H1a zenon_H166 zenon_H162 zenon_Hde zenon_H130 zenon_H14a zenon_H149 zenon_H167 zenon_H177 zenon_H17b zenon_H17a zenon_Hf zenon_H63 zenon_H113 zenon_Hd3 zenon_Hfc zenon_H1a2 zenon_H1c2 zenon_H1c1 zenon_H7b zenon_H1a9 zenon_H1a3 zenon_H1c6 zenon_H95 zenon_H1da zenon_H213 zenon_H214 zenon_H1f8 zenon_H1f2 zenon_H1f0 zenon_H5d zenon_H1ee zenon_H97 zenon_H1ff zenon_Hd4 zenon_Hdc zenon_H20a zenon_H215. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_Hb | zenon_intro zenon_H20e ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H3 | zenon_intro zenon_H216 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H2d | zenon_intro zenon_H217 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H91 | zenon_intro zenon_He5 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_H100 | zenon_intro zenon_H10d ]. % 1.14/1.30 apply (zenon_L122_); trivial. % 1.14/1.30 apply (zenon_L71_); trivial. % 1.14/1.30 apply (zenon_L148_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H1a. zenon_intro zenon_H218. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_He0. zenon_intro zenon_H219. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_Hc2. zenon_intro zenon_Hc1. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H91 | zenon_intro zenon_He5 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_H100 | zenon_intro zenon_H10d ]. % 1.14/1.30 apply (zenon_L160_); trivial. % 1.14/1.30 apply (zenon_L71_); trivial. % 1.14/1.30 apply (zenon_L148_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_H1a. zenon_intro zenon_H21a. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_Heb. zenon_intro zenon_H21b. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_He9. zenon_intro zenon_Hea. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H2d | zenon_intro zenon_H217 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H91 | zenon_intro zenon_He5 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_H100 | zenon_intro zenon_H10d ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H146 | zenon_intro zenon_H19f ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.14/1.30 apply (zenon_L94_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.14/1.30 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.14/1.30 apply (zenon_L103_); trivial. % 1.14/1.30 apply (zenon_L164_); trivial. % 1.14/1.30 apply (zenon_L121_); trivial. % 1.14/1.30 apply (zenon_L71_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_He5). zenon_intro zenon_H1a. zenon_intro zenon_He6. % 1.14/1.30 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_Hb0. zenon_intro zenon_He7. % 1.14/1.30 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hae. zenon_intro zenon_Haf. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H214); [ zenon_intro zenon_H5b | zenon_intro zenon_H1fa ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_H100 | zenon_intro zenon_H10d ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.14/1.30 apply (zenon_L8_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.14/1.30 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.14/1.30 apply (zenon_L177_); trivial. % 1.14/1.30 apply (zenon_L185_); trivial. % 1.14/1.30 apply (zenon_L71_); trivial. % 1.14/1.30 apply (zenon_L193_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H1a. zenon_intro zenon_H218. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_He0. zenon_intro zenon_H219. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_Hc2. zenon_intro zenon_Hc1. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H91 | zenon_intro zenon_He5 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_H100 | zenon_intro zenon_H10d ]. % 1.14/1.30 apply (zenon_L213_); trivial. % 1.14/1.30 apply (zenon_L71_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_He5). zenon_intro zenon_H1a. zenon_intro zenon_He6. % 1.14/1.30 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_Hb0. zenon_intro zenon_He7. % 1.14/1.30 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hae. zenon_intro zenon_Haf. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H214); [ zenon_intro zenon_H5b | zenon_intro zenon_H1fa ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_H100 | zenon_intro zenon_H10d ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H146 | zenon_intro zenon_H19f ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H20a); [ zenon_intro zenon_H1fd | zenon_intro zenon_H20b ]. % 1.14/1.30 apply (zenon_L196_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H20b). zenon_intro zenon_H1a. zenon_intro zenon_H20c. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H20c). zenon_intro zenon_H203. zenon_intro zenon_H20d. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H20d). zenon_intro zenon_H201. zenon_intro zenon_H202. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.14/1.30 apply (zenon_L94_); trivial. % 1.14/1.30 apply (zenon_L218_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H1a. zenon_intro zenon_H1a0. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H18f. zenon_intro zenon_H1a1. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H19a. zenon_intro zenon_H18e. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H20a); [ zenon_intro zenon_H1fd | zenon_intro zenon_H20b ]. % 1.14/1.30 apply (zenon_L196_); trivial. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H20b). zenon_intro zenon_H1a. zenon_intro zenon_H20c. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H20c). zenon_intro zenon_H203. zenon_intro zenon_H20d. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H20d). zenon_intro zenon_H201. zenon_intro zenon_H202. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.14/1.30 apply (zenon_L191_); trivial. % 1.14/1.30 apply (zenon_L218_); trivial. % 1.14/1.30 apply (zenon_L71_); trivial. % 1.14/1.30 apply (zenon_L193_); trivial. % 1.14/1.30 apply (zenon_L219_); trivial. % 1.14/1.30 (* end of lemma zenon_L220_ *) % 1.14/1.30 assert (zenon_L221_ : (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V))))) -> (ndr1_0) -> (~(c0_1 (a22))) -> (~(c2_1 (a22))) -> (~(c3_1 (a22))) -> False). % 1.14/1.30 do 0 intro. intros zenon_H1e7 zenon_H1a zenon_H80 zenon_H89 zenon_H81. % 1.14/1.30 generalize (zenon_H1e7 (a22)). zenon_intro zenon_H21c. % 1.14/1.30 apply (zenon_imply_s _ _ zenon_H21c); [ zenon_intro zenon_H19 | zenon_intro zenon_H21d ]. % 1.14/1.30 exact (zenon_H19 zenon_H1a). % 1.14/1.30 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H86 | zenon_intro zenon_H21e ]. % 1.14/1.30 exact (zenon_H80 zenon_H86). % 1.14/1.30 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_H8d | zenon_intro zenon_H88 ]. % 1.14/1.30 exact (zenon_H89 zenon_H8d). % 1.14/1.30 exact (zenon_H81 zenon_H88). % 1.14/1.30 (* end of lemma zenon_L221_ *) % 1.14/1.30 assert (zenon_L222_ : (forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))) -> (ndr1_0) -> (~(c2_1 (a8))) -> (c1_1 (a8)) -> (c3_1 (a8)) -> False). % 1.14/1.30 do 0 intro. intros zenon_H6d zenon_H1a zenon_H21f zenon_H220 zenon_H221. % 1.14/1.30 generalize (zenon_H6d (a8)). zenon_intro zenon_H222. % 1.14/1.30 apply (zenon_imply_s _ _ zenon_H222); [ zenon_intro zenon_H19 | zenon_intro zenon_H223 ]. % 1.14/1.30 exact (zenon_H19 zenon_H1a). % 1.14/1.30 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H225 | zenon_intro zenon_H224 ]. % 1.14/1.30 exact (zenon_H21f zenon_H225). % 1.14/1.30 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H227 | zenon_intro zenon_H226 ]. % 1.14/1.30 exact (zenon_H227 zenon_H220). % 1.14/1.30 exact (zenon_H226 zenon_H221). % 1.14/1.30 (* end of lemma zenon_L222_ *) % 1.14/1.30 assert (zenon_L223_ : (forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48)))))) -> (ndr1_0) -> (~(c2_1 (a8))) -> (forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))) -> (c1_1 (a8)) -> (c0_1 (a8)) -> False). % 1.14/1.30 do 0 intro. intros zenon_He8 zenon_H1a zenon_H21f zenon_H6d zenon_H220 zenon_H228. % 1.14/1.30 generalize (zenon_He8 (a8)). zenon_intro zenon_H229. % 1.14/1.30 apply (zenon_imply_s _ _ zenon_H229); [ zenon_intro zenon_H19 | zenon_intro zenon_H22a ]. % 1.14/1.30 exact (zenon_H19 zenon_H1a). % 1.14/1.30 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_H225 | zenon_intro zenon_H22b ]. % 1.14/1.30 exact (zenon_H21f zenon_H225). % 1.14/1.30 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H221 | zenon_intro zenon_H22c ]. % 1.14/1.30 apply (zenon_L222_); trivial. % 1.14/1.30 exact (zenon_H22c zenon_H228). % 1.14/1.30 (* end of lemma zenon_L223_ *) % 1.14/1.30 assert (zenon_L224_ : ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c0_1 (a8)) -> (c1_1 (a8)) -> (~(c2_1 (a8))) -> (forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48)))))) -> (c3_1 (a3)) -> (c2_1 (a3)) -> (c1_1 (a3)) -> (ndr1_0) -> (forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32)))))) -> (~(hskp19)) -> False). % 1.14/1.30 do 0 intro. intros zenon_H14a zenon_H228 zenon_H220 zenon_H21f zenon_He8 zenon_H1f zenon_H1e zenon_H1d zenon_H1a zenon_H1b zenon_H144. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_H6d | zenon_intro zenon_H14e ]. % 1.14/1.30 apply (zenon_L223_); trivial. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H1c | zenon_intro zenon_H145 ]. % 1.14/1.30 apply (zenon_L14_); trivial. % 1.14/1.30 exact (zenon_H144 zenon_H145). % 1.14/1.30 (* end of lemma zenon_L224_ *) % 1.14/1.30 assert (zenon_L225_ : (forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11)))))) -> (ndr1_0) -> (~(c2_1 (a8))) -> (forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))) -> (c1_1 (a8)) -> False). % 1.14/1.30 do 0 intro. intros zenon_Hf3 zenon_H1a zenon_H21f zenon_H6d zenon_H220. % 1.14/1.30 generalize (zenon_Hf3 (a8)). zenon_intro zenon_H22d. % 1.14/1.30 apply (zenon_imply_s _ _ zenon_H22d); [ zenon_intro zenon_H19 | zenon_intro zenon_H22e ]. % 1.14/1.30 exact (zenon_H19 zenon_H1a). % 1.14/1.30 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H225 | zenon_intro zenon_H22f ]. % 1.14/1.30 exact (zenon_H21f zenon_H225). % 1.14/1.30 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H221 | zenon_intro zenon_H227 ]. % 1.14/1.30 apply (zenon_L222_); trivial. % 1.14/1.30 exact (zenon_H227 zenon_H220). % 1.14/1.30 (* end of lemma zenon_L225_ *) % 1.14/1.30 assert (zenon_L226_ : ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c1_1 (a8)) -> (~(c2_1 (a8))) -> (forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11)))))) -> (c3_1 (a3)) -> (c2_1 (a3)) -> (c1_1 (a3)) -> (ndr1_0) -> (forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32)))))) -> (~(hskp19)) -> False). % 1.14/1.30 do 0 intro. intros zenon_H14a zenon_H220 zenon_H21f zenon_Hf3 zenon_H1f zenon_H1e zenon_H1d zenon_H1a zenon_H1b zenon_H144. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_H6d | zenon_intro zenon_H14e ]. % 1.14/1.30 apply (zenon_L225_); trivial. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H1c | zenon_intro zenon_H145 ]. % 1.14/1.30 apply (zenon_L14_); trivial. % 1.14/1.30 exact (zenon_H144 zenon_H145). % 1.14/1.30 (* end of lemma zenon_L226_ *) % 1.14/1.30 assert (zenon_L227_ : ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(hskp19)) -> (forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32)))))) -> (c1_1 (a3)) -> (c2_1 (a3)) -> (c3_1 (a3)) -> (c0_1 (a8)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c1_1 (a8)) -> (forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))) -> (~(c2_1 (a8))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(hskp7)) -> (~(hskp7)) -> (c2_1 (a31)) -> (c0_1 (a31)) -> (~(c1_1 (a31))) -> (ndr1_0) -> False). % 1.14/1.30 do 0 intro. intros zenon_Hfc zenon_H144 zenon_H1b zenon_H1d zenon_H1e zenon_H1f zenon_H228 zenon_H14a zenon_H220 zenon_H6d zenon_H21f zenon_Hb7 zenon_H1 zenon_H33 zenon_H3c zenon_H32 zenon_H1a. % 1.14/1.30 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfd ]. % 1.14/1.30 apply (zenon_L224_); trivial. % 1.14/1.30 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hf3 | zenon_intro zenon_Hcd ]. % 1.14/1.30 apply (zenon_L225_); trivial. % 1.14/1.30 apply (zenon_L50_); trivial. % 1.14/1.30 (* end of lemma zenon_L227_ *) % 1.14/1.30 assert (zenon_L228_ : ((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> (~(c3_1 (a22))) -> (~(c2_1 (a22))) -> (~(c0_1 (a22))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> (~(hskp10)) -> (~(c1_1 (a31))) -> (c2_1 (a31)) -> (c0_1 (a31)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(hskp19)) -> (c0_1 (a8)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c1_1 (a8)) -> (~(c2_1 (a8))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(hskp7)) -> (~(hskp7)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp4)) -> False). % 1.14/1.30 do 0 intro. intros zenon_H41 zenon_H1ee zenon_H81 zenon_H89 zenon_H80 zenon_Hd3 zenon_H42 zenon_H2d zenon_H32 zenon_H33 zenon_H3c zenon_Hfc zenon_H144 zenon_H228 zenon_H14a zenon_H220 zenon_H21f zenon_Hb7 zenon_H1 zenon_H43 zenon_Hd. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H1a. zenon_intro zenon_H44. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H1d. zenon_intro zenon_H45. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H1e. zenon_intro zenon_H1f. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H1ee); [ zenon_intro zenon_H1e7 | zenon_intro zenon_H1ef ]. % 1.14/1.30 apply (zenon_L221_); trivial. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H3b | zenon_intro zenon_H6d ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H43); [ zenon_intro zenon_H1b | zenon_intro zenon_H47 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_Had | zenon_intro zenon_Hcd ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfd ]. % 1.14/1.30 apply (zenon_L224_); trivial. % 1.14/1.30 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hf3 | zenon_intro zenon_Hcd ]. % 1.14/1.30 apply (zenon_L226_); trivial. % 1.14/1.30 apply (zenon_L49_); trivial. % 1.14/1.30 apply (zenon_L50_); trivial. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H47); [ zenon_intro zenon_H31 | zenon_intro zenon_H2e ]. % 1.14/1.30 apply (zenon_L19_); trivial. % 1.14/1.30 exact (zenon_H2d zenon_H2e). % 1.14/1.30 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H1b | zenon_intro zenon_H46 ]. % 1.14/1.30 apply (zenon_L227_); trivial. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_He ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H43); [ zenon_intro zenon_H1b | zenon_intro zenon_H47 ]. % 1.14/1.30 apply (zenon_L227_); trivial. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H47); [ zenon_intro zenon_H31 | zenon_intro zenon_H2e ]. % 1.14/1.30 apply (zenon_L19_); trivial. % 1.14/1.30 exact (zenon_H2d zenon_H2e). % 1.14/1.30 exact (zenon_Hd zenon_He). % 1.14/1.30 (* end of lemma zenon_L228_ *) % 1.14/1.30 assert (zenon_L229_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> (~(hskp4)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(hskp7)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(hskp7)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp19)) -> (c0_1 (a8)) -> (c1_1 (a8)) -> (~(c2_1 (a8))) -> (~(c1_1 (a31))) -> (c0_1 (a31)) -> (c2_1 (a31)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(hskp10)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(c3_1 (a22))) -> (~(c2_1 (a22))) -> (~(c0_1 (a22))) -> (~(hskp23)) -> (~(hskp0)) -> ((hskp24)\/((hskp23)\/(hskp0))) -> False). % 1.14/1.30 do 0 intro. intros zenon_H48 zenon_H1ee zenon_Hd zenon_H42 zenon_Hd3 zenon_H1 zenon_Hb7 zenon_H14a zenon_H144 zenon_H228 zenon_H220 zenon_H21f zenon_H32 zenon_H3c zenon_H33 zenon_Hfc zenon_H2d zenon_H43 zenon_H81 zenon_H89 zenon_H80 zenon_H13 zenon_H15 zenon_H17. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H11 | zenon_intro zenon_H41 ]. % 1.14/1.30 apply (zenon_L12_); trivial. % 1.14/1.30 apply (zenon_L228_); trivial. % 1.14/1.30 (* end of lemma zenon_L229_ *) % 1.14/1.30 assert (zenon_L230_ : (forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43)))))) -> (ndr1_0) -> (~(c2_1 (a8))) -> (c0_1 (a8)) -> (c3_1 (a8)) -> False). % 1.14/1.30 do 0 intro. intros zenon_H11e zenon_H1a zenon_H21f zenon_H228 zenon_H221. % 1.14/1.30 generalize (zenon_H11e (a8)). zenon_intro zenon_H230. % 1.14/1.30 apply (zenon_imply_s _ _ zenon_H230); [ zenon_intro zenon_H19 | zenon_intro zenon_H231 ]. % 1.14/1.30 exact (zenon_H19 zenon_H1a). % 1.14/1.30 apply (zenon_or_s _ _ zenon_H231); [ zenon_intro zenon_H225 | zenon_intro zenon_H232 ]. % 1.14/1.30 exact (zenon_H21f zenon_H225). % 1.14/1.30 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H22c | zenon_intro zenon_H226 ]. % 1.14/1.30 exact (zenon_H22c zenon_H228). % 1.14/1.30 exact (zenon_H226 zenon_H221). % 1.14/1.30 (* end of lemma zenon_L230_ *) % 1.14/1.30 assert (zenon_L231_ : (forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48)))))) -> (ndr1_0) -> (~(c2_1 (a8))) -> (forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43)))))) -> (c0_1 (a8)) -> False). % 1.14/1.30 do 0 intro. intros zenon_He8 zenon_H1a zenon_H21f zenon_H11e zenon_H228. % 1.14/1.30 generalize (zenon_He8 (a8)). zenon_intro zenon_H229. % 1.14/1.30 apply (zenon_imply_s _ _ zenon_H229); [ zenon_intro zenon_H19 | zenon_intro zenon_H22a ]. % 1.14/1.30 exact (zenon_H19 zenon_H1a). % 1.14/1.30 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_H225 | zenon_intro zenon_H22b ]. % 1.14/1.30 exact (zenon_H21f zenon_H225). % 1.14/1.30 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H221 | zenon_intro zenon_H22c ]. % 1.14/1.30 apply (zenon_L230_); trivial. % 1.14/1.30 exact (zenon_H22c zenon_H228). % 1.14/1.30 (* end of lemma zenon_L231_ *) % 1.14/1.30 assert (zenon_L232_ : (forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11)))))) -> (ndr1_0) -> (~(c2_1 (a8))) -> (forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43)))))) -> (c0_1 (a8)) -> (c1_1 (a8)) -> False). % 1.14/1.30 do 0 intro. intros zenon_Hf3 zenon_H1a zenon_H21f zenon_H11e zenon_H228 zenon_H220. % 1.14/1.30 generalize (zenon_Hf3 (a8)). zenon_intro zenon_H22d. % 1.14/1.30 apply (zenon_imply_s _ _ zenon_H22d); [ zenon_intro zenon_H19 | zenon_intro zenon_H22e ]. % 1.14/1.30 exact (zenon_H19 zenon_H1a). % 1.14/1.30 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H225 | zenon_intro zenon_H22f ]. % 1.14/1.30 exact (zenon_H21f zenon_H225). % 1.14/1.30 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H221 | zenon_intro zenon_H227 ]. % 1.14/1.30 apply (zenon_L230_); trivial. % 1.14/1.30 exact (zenon_H227 zenon_H220). % 1.14/1.30 (* end of lemma zenon_L232_ *) % 1.14/1.30 assert (zenon_L233_ : (forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z))))) -> (ndr1_0) -> (~(c0_1 (a22))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7)))))) -> (~(c3_1 (a22))) -> False). % 1.14/1.30 do 0 intro. intros zenon_Hb8 zenon_H1a zenon_H80 zenon_H7f zenon_H81. % 1.14/1.30 generalize (zenon_Hb8 (a22)). zenon_intro zenon_Hba. % 1.14/1.30 apply (zenon_imply_s _ _ zenon_Hba); [ zenon_intro zenon_H19 | zenon_intro zenon_Hbb ]. % 1.14/1.30 exact (zenon_H19 zenon_H1a). % 1.14/1.30 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H86 | zenon_intro zenon_Hbc ]. % 1.14/1.30 exact (zenon_H80 zenon_H86). % 1.14/1.30 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H82 | zenon_intro zenon_H88 ]. % 1.14/1.30 apply (zenon_L33_); trivial. % 1.14/1.30 exact (zenon_H81 zenon_H88). % 1.14/1.30 (* end of lemma zenon_L233_ *) % 1.14/1.30 assert (zenon_L234_ : ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> (~(c0_1 (a22))) -> (~(c3_1 (a22))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (~(hskp7)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(hskp7)) -> (~(c2_1 (a8))) -> (c0_1 (a8)) -> (c1_1 (a8)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(hskp15)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (~(hskp11)) -> (ndr1_0) -> (~(c1_1 (a31))) -> (c2_1 (a31)) -> (c0_1 (a31)) -> (~(c0_1 (a53))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c1_1 (a53))) -> (c3_1 (a53)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp1)) -> False). % 1.14/1.30 do 0 intro. intros zenon_H162 zenon_H80 zenon_H81 zenon_H149 zenon_H1 zenon_Hb7 zenon_H21f zenon_H228 zenon_H220 zenon_Hfc zenon_H146 zenon_H95 zenon_H91 zenon_H1a zenon_H32 zenon_H33 zenon_H3c zenon_H4a zenon_H4b zenon_H4c zenon_H4d zenon_H93 zenon_Hde. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H165 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H65 | zenon_intro zenon_H96 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H132 | zenon_intro zenon_H14d ]. % 1.14/1.30 apply (zenon_L100_); trivial. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H11e | zenon_intro zenon_H147 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfd ]. % 1.14/1.30 apply (zenon_L231_); trivial. % 1.14/1.30 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hf3 | zenon_intro zenon_Hcd ]. % 1.14/1.30 apply (zenon_L232_); trivial. % 1.14/1.30 apply (zenon_L50_); trivial. % 1.14/1.30 exact (zenon_H146 zenon_H147). % 1.14/1.30 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H7f | zenon_intro zenon_H31 ]. % 1.14/1.30 apply (zenon_L233_); trivial. % 1.14/1.30 apply (zenon_L37_); trivial. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H31 | zenon_intro zenon_Hdf ]. % 1.14/1.30 apply (zenon_L37_); trivial. % 1.14/1.30 exact (zenon_Hde zenon_Hdf). % 1.14/1.30 (* end of lemma zenon_L234_ *) % 1.14/1.30 assert (zenon_L235_ : ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c0_1 (a8)) -> (c1_1 (a8)) -> (~(c2_1 (a8))) -> (forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48)))))) -> (c1_1 (a3)) -> (c3_1 (a3)) -> (c2_1 (a3)) -> (forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36)))))) -> (ndr1_0) -> (~(hskp19)) -> False). % 1.14/1.30 do 0 intro. intros zenon_H14a zenon_H228 zenon_H220 zenon_H21f zenon_He8 zenon_H1d zenon_H1f zenon_H1e zenon_H49 zenon_H1a zenon_H144. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_H6d | zenon_intro zenon_H14e ]. % 1.14/1.30 apply (zenon_L223_); trivial. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H1c | zenon_intro zenon_H145 ]. % 1.14/1.30 apply (zenon_L110_); trivial. % 1.14/1.30 exact (zenon_H144 zenon_H145). % 1.14/1.30 (* end of lemma zenon_L235_ *) % 1.14/1.30 assert (zenon_L236_ : ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c1_1 (a8)) -> (~(c2_1 (a8))) -> (forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11)))))) -> (c1_1 (a3)) -> (c3_1 (a3)) -> (c2_1 (a3)) -> (forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36)))))) -> (ndr1_0) -> (~(hskp19)) -> False). % 1.14/1.30 do 0 intro. intros zenon_H14a zenon_H220 zenon_H21f zenon_Hf3 zenon_H1d zenon_H1f zenon_H1e zenon_H49 zenon_H1a zenon_H144. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_H6d | zenon_intro zenon_H14e ]. % 1.14/1.30 apply (zenon_L225_); trivial. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H1c | zenon_intro zenon_H145 ]. % 1.14/1.30 apply (zenon_L110_); trivial. % 1.14/1.30 exact (zenon_H144 zenon_H145). % 1.14/1.30 (* end of lemma zenon_L236_ *) % 1.14/1.30 assert (zenon_L237_ : ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c1_1 (a8)) -> (~(c2_1 (a8))) -> (forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11)))))) -> (~(c3_1 (a18))) -> (c2_1 (a18)) -> (c0_1 (a18)) -> (ndr1_0) -> (forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44)))))) -> (~(hskp19)) -> False). % 1.14/1.30 do 0 intro. intros zenon_H14a zenon_H220 zenon_H21f zenon_Hf3 zenon_Hc1 zenon_Hc2 zenon_He0 zenon_H1a zenon_Had zenon_H144. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_H6d | zenon_intro zenon_H14e ]. % 1.14/1.30 apply (zenon_L225_); trivial. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H1c | zenon_intro zenon_H145 ]. % 1.14/1.30 apply (zenon_L207_); trivial. % 1.14/1.30 exact (zenon_H144 zenon_H145). % 1.14/1.30 (* end of lemma zenon_L237_ *) % 1.14/1.30 assert (zenon_L238_ : ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp19)) -> (c3_1 (a3)) -> (c2_1 (a3)) -> (c1_1 (a3)) -> (forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32)))))) -> (c0_1 (a8)) -> (c1_1 (a8)) -> (~(c2_1 (a8))) -> (ndr1_0) -> (~(c3_1 (a18))) -> (c2_1 (a18)) -> (c0_1 (a18)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(hskp7)) -> (~(hskp7)) -> (c2_1 (a31)) -> (c0_1 (a31)) -> (~(c1_1 (a31))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> False). % 1.14/1.30 do 0 intro. intros zenon_Hd3 zenon_H14a zenon_H144 zenon_H1f zenon_H1e zenon_H1d zenon_H1b zenon_H228 zenon_H220 zenon_H21f zenon_H1a zenon_Hc1 zenon_Hc2 zenon_He0 zenon_Hb7 zenon_H1 zenon_H33 zenon_H3c zenon_H32 zenon_Hfc. % 1.14/1.30 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_Had | zenon_intro zenon_Hcd ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfd ]. % 1.14/1.30 apply (zenon_L224_); trivial. % 1.14/1.30 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hf3 | zenon_intro zenon_Hcd ]. % 1.14/1.30 apply (zenon_L237_); trivial. % 1.14/1.30 apply (zenon_L50_); trivial. % 1.14/1.30 apply (zenon_L128_); trivial. % 1.14/1.30 (* end of lemma zenon_L238_ *) % 1.14/1.30 assert (zenon_L239_ : ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36)))))) -> (c2_1 (a3)) -> (c3_1 (a3)) -> (c1_1 (a3)) -> (c0_1 (a8)) -> (~(hskp19)) -> (forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44)))))) -> (c0_1 (a18)) -> (c2_1 (a18)) -> (~(c3_1 (a18))) -> (~(c2_1 (a8))) -> (c1_1 (a8)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(hskp7)) -> (~(hskp7)) -> (c2_1 (a31)) -> (c0_1 (a31)) -> (~(c1_1 (a31))) -> (ndr1_0) -> False). % 1.14/1.30 do 0 intro. intros zenon_Hfc zenon_H49 zenon_H1e zenon_H1f zenon_H1d zenon_H228 zenon_H144 zenon_Had zenon_He0 zenon_Hc2 zenon_Hc1 zenon_H21f zenon_H220 zenon_H14a zenon_Hb7 zenon_H1 zenon_H33 zenon_H3c zenon_H32 zenon_H1a. % 1.14/1.30 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfd ]. % 1.14/1.30 apply (zenon_L235_); trivial. % 1.14/1.30 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hf3 | zenon_intro zenon_Hcd ]. % 1.14/1.30 apply (zenon_L237_); trivial. % 1.14/1.30 apply (zenon_L50_); trivial. % 1.14/1.30 (* end of lemma zenon_L239_ *) % 1.14/1.30 assert (zenon_L240_ : ((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> (~(hskp11)) -> (~(c3_1 (a18))) -> (c0_1 (a18)) -> (c2_1 (a18)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp19)) -> (c0_1 (a8)) -> (c1_1 (a8)) -> (~(c2_1 (a8))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(hskp7)) -> (~(hskp7)) -> (c2_1 (a31)) -> (c0_1 (a31)) -> (~(c1_1 (a31))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp4)) -> False). % 1.14/1.30 do 0 intro. intros zenon_H41 zenon_H42 zenon_H91 zenon_Hc1 zenon_He0 zenon_Hc2 zenon_Hd3 zenon_H14a zenon_H144 zenon_H228 zenon_H220 zenon_H21f zenon_Hb7 zenon_H1 zenon_H33 zenon_H3c zenon_H32 zenon_Hfc zenon_H93 zenon_Hd. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H1a. zenon_intro zenon_H44. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H1d. zenon_intro zenon_H45. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H1e. zenon_intro zenon_H1f. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H1b | zenon_intro zenon_H46 ]. % 1.14/1.30 apply (zenon_L238_); trivial. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_He ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H49 | zenon_intro zenon_H94 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_Had | zenon_intro zenon_Hcd ]. % 1.14/1.30 apply (zenon_L239_); trivial. % 1.14/1.30 apply (zenon_L155_); trivial. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H8e | zenon_intro zenon_H92 ]. % 1.14/1.30 apply (zenon_L59_); trivial. % 1.14/1.30 exact (zenon_H91 zenon_H92). % 1.14/1.30 exact (zenon_Hd zenon_He). % 1.14/1.30 (* end of lemma zenon_L240_ *) % 1.14/1.30 assert (zenon_L241_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> (~(hskp4)) -> (~(hskp11)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(c1_1 (a31))) -> (c0_1 (a31)) -> (c2_1 (a31)) -> (~(hskp7)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(hskp7)) -> (c0_1 (a18)) -> (c2_1 (a18)) -> (~(c3_1 (a18))) -> (~(c2_1 (a8))) -> (c1_1 (a8)) -> (c0_1 (a8)) -> (~(hskp19)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(hskp23)) -> (~(hskp0)) -> ((hskp24)\/((hskp23)\/(hskp0))) -> False). % 1.14/1.30 do 0 intro. intros zenon_H48 zenon_H42 zenon_Hd zenon_H91 zenon_H93 zenon_Hfc zenon_H32 zenon_H3c zenon_H33 zenon_H1 zenon_Hb7 zenon_He0 zenon_Hc2 zenon_Hc1 zenon_H21f zenon_H220 zenon_H228 zenon_H144 zenon_H14a zenon_Hd3 zenon_H13 zenon_H15 zenon_H17. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H11 | zenon_intro zenon_H41 ]. % 1.14/1.30 apply (zenon_L12_); trivial. % 1.14/1.30 apply (zenon_L240_); trivial. % 1.14/1.30 (* end of lemma zenon_L241_ *) % 1.14/1.30 assert (zenon_L242_ : (forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32)))))) -> (ndr1_0) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> False). % 1.14/1.30 do 0 intro. intros zenon_H1b zenon_H1a zenon_H233 zenon_H234 zenon_H235. % 1.14/1.30 generalize (zenon_H1b (a7)). zenon_intro zenon_H236. % 1.14/1.30 apply (zenon_imply_s _ _ zenon_H236); [ zenon_intro zenon_H19 | zenon_intro zenon_H237 ]. % 1.14/1.30 exact (zenon_H19 zenon_H1a). % 1.14/1.30 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H239 | zenon_intro zenon_H238 ]. % 1.14/1.30 exact (zenon_H233 zenon_H239). % 1.14/1.30 apply (zenon_or_s _ _ zenon_H238); [ zenon_intro zenon_H23b | zenon_intro zenon_H23a ]. % 1.14/1.30 exact (zenon_H23b zenon_H234). % 1.14/1.30 exact (zenon_H23a zenon_H235). % 1.14/1.30 (* end of lemma zenon_L242_ *) % 1.14/1.30 assert (zenon_L243_ : ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> (c0_1 (a31)) -> (c2_1 (a31)) -> (~(c1_1 (a31))) -> (ndr1_0) -> (forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10)))))) -> (~(hskp10)) -> False). % 1.14/1.30 do 0 intro. intros zenon_H43 zenon_H235 zenon_H234 zenon_H233 zenon_H3c zenon_H33 zenon_H32 zenon_H1a zenon_H3b zenon_H2d. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H43); [ zenon_intro zenon_H1b | zenon_intro zenon_H47 ]. % 1.14/1.30 apply (zenon_L242_); trivial. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H47); [ zenon_intro zenon_H31 | zenon_intro zenon_H2e ]. % 1.14/1.30 apply (zenon_L19_); trivial. % 1.14/1.30 exact (zenon_H2d zenon_H2e). % 1.14/1.30 (* end of lemma zenon_L243_ *) % 1.14/1.30 assert (zenon_L244_ : ((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> (~(hskp10)) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp4)) -> False). % 1.14/1.30 do 0 intro. intros zenon_H9e zenon_H42 zenon_H2d zenon_H233 zenon_H234 zenon_H235 zenon_H43 zenon_Hd. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.14/1.30 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H1b | zenon_intro zenon_H46 ]. % 1.14/1.30 apply (zenon_L242_); trivial. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_He ]. % 1.14/1.30 apply (zenon_L243_); trivial. % 1.14/1.30 exact (zenon_Hd zenon_He). % 1.14/1.30 (* end of lemma zenon_L244_ *) % 1.14/1.30 assert (zenon_L245_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> (~(hskp10)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> (~(hskp8)) -> (~(hskp4)) -> ((hskp17)\/((hskp8)\/(hskp4))) -> False). % 1.14/1.30 do 0 intro. intros zenon_H9c zenon_H42 zenon_H2d zenon_H43 zenon_H235 zenon_H234 zenon_H233 zenon_Hb zenon_Hd zenon_Hf. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.14/1.30 apply (zenon_L8_); trivial. % 1.14/1.30 apply (zenon_L244_); trivial. % 1.14/1.30 (* end of lemma zenon_L245_ *) % 1.14/1.30 assert (zenon_L246_ : (forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))) -> (ndr1_0) -> (forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36)))))) -> (~(c0_1 (a7))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> False). % 1.14/1.30 do 0 intro. intros zenon_H6d zenon_H1a zenon_H49 zenon_H233 zenon_H235 zenon_H234. % 1.14/1.30 generalize (zenon_H6d (a7)). zenon_intro zenon_H23c. % 1.14/1.30 apply (zenon_imply_s _ _ zenon_H23c); [ zenon_intro zenon_H19 | zenon_intro zenon_H23d ]. % 1.14/1.30 exact (zenon_H19 zenon_H1a). % 1.14/1.30 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H23e | zenon_intro zenon_H238 ]. % 1.14/1.30 generalize (zenon_H49 (a7)). zenon_intro zenon_H23f. % 1.14/1.30 apply (zenon_imply_s _ _ zenon_H23f); [ zenon_intro zenon_H19 | zenon_intro zenon_H240 ]. % 1.14/1.30 exact (zenon_H19 zenon_H1a). % 1.14/1.30 apply (zenon_or_s _ _ zenon_H240); [ zenon_intro zenon_H239 | zenon_intro zenon_H241 ]. % 1.14/1.30 exact (zenon_H233 zenon_H239). % 1.14/1.30 apply (zenon_or_s _ _ zenon_H241); [ zenon_intro zenon_H242 | zenon_intro zenon_H23a ]. % 1.14/1.30 exact (zenon_H242 zenon_H23e). % 1.14/1.30 exact (zenon_H23a zenon_H235). % 1.14/1.30 apply (zenon_or_s _ _ zenon_H238); [ zenon_intro zenon_H23b | zenon_intro zenon_H23a ]. % 1.14/1.30 exact (zenon_H23b zenon_H234). % 1.14/1.30 exact (zenon_H23a zenon_H235). % 1.14/1.30 (* end of lemma zenon_L246_ *) % 1.14/1.30 assert (zenon_L247_ : ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> (~(c0_1 (a7))) -> (forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36)))))) -> (~(c3_1 (a18))) -> (c2_1 (a18)) -> (c0_1 (a18)) -> (ndr1_0) -> (forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44)))))) -> (~(hskp19)) -> False). % 1.14/1.30 do 0 intro. intros zenon_H14a zenon_H234 zenon_H235 zenon_H233 zenon_H49 zenon_Hc1 zenon_Hc2 zenon_He0 zenon_H1a zenon_Had zenon_H144. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_H6d | zenon_intro zenon_H14e ]. % 1.14/1.30 apply (zenon_L246_); trivial. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H1c | zenon_intro zenon_H145 ]. % 1.14/1.30 apply (zenon_L207_); trivial. % 1.14/1.30 exact (zenon_H144 zenon_H145). % 1.14/1.30 (* end of lemma zenon_L247_ *) % 1.14/1.30 assert (zenon_L248_ : ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(c1_1 (a31))) -> (c0_1 (a31)) -> (c2_1 (a31)) -> (~(hskp7)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(hskp7)) -> (ndr1_0) -> (forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36)))))) -> (~(c0_1 (a7))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (c0_1 (a18)) -> (c2_1 (a18)) -> (~(c3_1 (a18))) -> (~(hskp19)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> False). % 1.14/1.30 do 0 intro. intros zenon_Hd3 zenon_H32 zenon_H3c zenon_H33 zenon_H1 zenon_Hb7 zenon_H1a zenon_H49 zenon_H233 zenon_H235 zenon_H234 zenon_He0 zenon_Hc2 zenon_Hc1 zenon_H144 zenon_H14a. % 1.14/1.30 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_Had | zenon_intro zenon_Hcd ]. % 1.14/1.30 apply (zenon_L247_); trivial. % 1.14/1.30 apply (zenon_L50_); trivial. % 1.14/1.30 (* end of lemma zenon_L248_ *) % 1.14/1.30 assert (zenon_L249_ : ((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(hskp7)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(hskp7)) -> (~(c0_1 (a7))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (c0_1 (a18)) -> (c2_1 (a18)) -> (~(c3_1 (a18))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp11)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> False). % 1.14/1.30 do 0 intro. intros zenon_H9e zenon_H17b zenon_Hd3 zenon_H1 zenon_Hb7 zenon_H233 zenon_H235 zenon_H234 zenon_He0 zenon_Hc2 zenon_Hc1 zenon_H14a zenon_H91 zenon_H93. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.14/1.30 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H49 | zenon_intro zenon_H94 ]. % 1.14/1.30 apply (zenon_L248_); trivial. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H8e | zenon_intro zenon_H92 ]. % 1.14/1.30 apply (zenon_L59_); trivial. % 1.14/1.30 exact (zenon_H91 zenon_H92). % 1.14/1.30 apply (zenon_L153_); trivial. % 1.14/1.30 (* end of lemma zenon_L249_ *) % 1.14/1.30 assert (zenon_L250_ : ((ndr1_0)/\((c0_1 (a18))/\((c2_1 (a18))/\(~(c3_1 (a18)))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a19))/\((~(c1_1 (a19)))/\(~(c3_1 (a19))))))) -> ((hskp17)\/((hskp8)\/(hskp4))) -> (~(hskp4)) -> (~(hskp8)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> (~(c0_1 (a7))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(hskp7)) -> (~(hskp7)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> False). % 1.14/1.30 do 0 intro. intros zenon_H217 zenon_H213 zenon_Hf zenon_Hd zenon_Hb zenon_H93 zenon_H14a zenon_H234 zenon_H235 zenon_H233 zenon_Hb7 zenon_H1 zenon_Hd3 zenon_H17b zenon_H9c. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H1a. zenon_intro zenon_H218. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_He0. zenon_intro zenon_H219. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_Hc2. zenon_intro zenon_Hc1. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H91 | zenon_intro zenon_He5 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.14/1.30 apply (zenon_L8_); trivial. % 1.14/1.30 apply (zenon_L249_); trivial. % 1.14/1.30 apply (zenon_L62_); trivial. % 1.14/1.30 (* end of lemma zenon_L250_ *) % 1.14/1.30 assert (zenon_L251_ : ((~(hskp10))\/((ndr1_0)/\((c0_1 (a18))/\((c2_1 (a18))/\(~(c3_1 (a18))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a19))/\((~(c1_1 (a19)))/\(~(c3_1 (a19))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(hskp7)) -> (~(hskp7)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((hskp17)\/((hskp8)\/(hskp4))) -> (~(hskp4)) -> (~(hskp8)) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> False). % 1.14/1.30 do 0 intro. intros zenon_H212 zenon_H213 zenon_H93 zenon_H14a zenon_Hb7 zenon_H1 zenon_Hd3 zenon_H17b zenon_Hf zenon_Hd zenon_Hb zenon_H233 zenon_H234 zenon_H235 zenon_H43 zenon_H42 zenon_H9c. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H2d | zenon_intro zenon_H217 ]. % 1.14/1.30 apply (zenon_L245_); trivial. % 1.14/1.30 apply (zenon_L250_); trivial. % 1.14/1.30 (* end of lemma zenon_L251_ *) % 1.14/1.30 assert (zenon_L252_ : ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> (~(hskp15)) -> (ndr1_0) -> (~(c2_1 (a14))) -> (c0_1 (a14)) -> (c3_1 (a14)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(c3_1 (a18))) -> (c2_1 (a18)) -> (c0_1 (a18)) -> (~(hskp19)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (~(hskp4)) -> False). % 1.14/1.30 do 0 intro. intros zenon_H42 zenon_H235 zenon_H234 zenon_H233 zenon_H146 zenon_H1a zenon_H11f zenon_H120 zenon_H121 zenon_H14a zenon_Hc1 zenon_Hc2 zenon_He0 zenon_H144 zenon_H149 zenon_Hd. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H1b | zenon_intro zenon_H46 ]. % 1.14/1.30 apply (zenon_L242_); trivial. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_He ]. % 1.14/1.30 apply (zenon_L151_); trivial. % 1.14/1.30 exact (zenon_Hd zenon_He). % 1.14/1.30 (* end of lemma zenon_L252_ *) % 1.14/1.30 assert (zenon_L253_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp11)) -> (ndr1_0) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (~(hskp15)) -> (c0_1 (a14)) -> (~(c2_1 (a14))) -> (c3_1 (a14)) -> (c0_1 (a18)) -> (c2_1 (a18)) -> (~(c3_1 (a18))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp4)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> False). % 1.14/1.30 do 0 intro. intros zenon_H17b zenon_H93 zenon_H91 zenon_H1a zenon_H233 zenon_H234 zenon_H235 zenon_H149 zenon_H146 zenon_H120 zenon_H11f zenon_H121 zenon_He0 zenon_Hc2 zenon_Hc1 zenon_H14a zenon_Hd zenon_H42. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.14/1.30 apply (zenon_L252_); trivial. % 1.14/1.30 apply (zenon_L153_); trivial. % 1.14/1.30 (* end of lemma zenon_L253_ *) % 1.14/1.30 assert (zenon_L254_ : ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (c3_1 (a10)) -> (c2_1 (a10)) -> (c0_1 (a10)) -> (ndr1_0) -> (forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36)))))) -> (~(c0_1 (a7))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (c0_1 (a18)) -> (c2_1 (a18)) -> (~(c3_1 (a18))) -> (~(hskp19)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> False). % 1.14/1.30 do 0 intro. intros zenon_Hd3 zenon_H1b7 zenon_H1b6 zenon_H1b5 zenon_H1a zenon_H49 zenon_H233 zenon_H235 zenon_H234 zenon_He0 zenon_Hc2 zenon_Hc1 zenon_H144 zenon_H14a. % 1.14/1.30 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_Had | zenon_intro zenon_Hcd ]. % 1.14/1.30 apply (zenon_L247_); trivial. % 1.14/1.30 apply (zenon_L133_); trivial. % 1.14/1.30 (* end of lemma zenon_L254_ *) % 1.14/1.30 assert (zenon_L255_ : ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp19)) -> (~(c3_1 (a18))) -> (c2_1 (a18)) -> (c0_1 (a18)) -> (c1_1 (a7)) -> (c3_1 (a7)) -> (~(c0_1 (a7))) -> (c0_1 (a10)) -> (c2_1 (a10)) -> (c3_1 (a10)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c2_1 (a31)) -> (c0_1 (a31)) -> (~(c1_1 (a31))) -> (c1_1 (a25)) -> (c0_1 (a25)) -> (~(c3_1 (a25))) -> (ndr1_0) -> (forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(hskp11)) -> False). % 1.14/1.30 do 0 intro. intros zenon_H93 zenon_H14a zenon_H144 zenon_Hc1 zenon_Hc2 zenon_He0 zenon_H234 zenon_H235 zenon_H233 zenon_H1b5 zenon_H1b6 zenon_H1b7 zenon_Hfc zenon_H33 zenon_H3c zenon_H32 zenon_H19a zenon_H18f zenon_H18e zenon_H1a zenon_H3b zenon_Hd3 zenon_H91. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H49 | zenon_intro zenon_H94 ]. % 1.14/1.30 apply (zenon_L254_); trivial. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H8e | zenon_intro zenon_H92 ]. % 1.14/1.30 apply (zenon_L156_); trivial. % 1.14/1.30 exact (zenon_H91 zenon_H92). % 1.14/1.30 (* end of lemma zenon_L255_ *) % 1.14/1.30 assert (zenon_L256_ : ((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> (~(hskp11)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(c3_1 (a25))) -> (c0_1 (a25)) -> (c1_1 (a25)) -> (~(c1_1 (a31))) -> (c0_1 (a31)) -> (c2_1 (a31)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(c0_1 (a7))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (c0_1 (a18)) -> (c2_1 (a18)) -> (~(c3_1 (a18))) -> (~(hskp19)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp4)) -> False). % 1.14/1.30 do 0 intro. intros zenon_H1be zenon_H42 zenon_H91 zenon_Hd3 zenon_H18e zenon_H18f zenon_H19a zenon_H32 zenon_H3c zenon_H33 zenon_Hfc zenon_H233 zenon_H235 zenon_H234 zenon_He0 zenon_Hc2 zenon_Hc1 zenon_H144 zenon_H14a zenon_H93 zenon_Hd. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H1a. zenon_intro zenon_H1bf. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H1bf). zenon_intro zenon_H1b5. zenon_intro zenon_H1c0. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H1c0). zenon_intro zenon_H1b6. zenon_intro zenon_H1b7. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H1b | zenon_intro zenon_H46 ]. % 1.14/1.30 apply (zenon_L242_); trivial. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_He ]. % 1.14/1.30 apply (zenon_L255_); trivial. % 1.14/1.30 exact (zenon_Hd zenon_He). % 1.14/1.30 (* end of lemma zenon_L256_ *) % 1.14/1.30 assert (zenon_L257_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(hskp19)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(c3_1 (a25))) -> (c0_1 (a25)) -> (c1_1 (a25)) -> (~(c1_1 (a31))) -> (c0_1 (a31)) -> (c2_1 (a31)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(hskp11)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> (ndr1_0) -> (~(c3_1 (a18))) -> (c0_1 (a18)) -> (c2_1 (a18)) -> (~(hskp20)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> False). % 1.14/1.30 do 0 intro. intros zenon_H1c1 zenon_H42 zenon_Hd zenon_Hd3 zenon_H144 zenon_H14a zenon_H18e zenon_H18f zenon_H19a zenon_H32 zenon_H3c zenon_H33 zenon_Hfc zenon_H91 zenon_H93 zenon_H235 zenon_H234 zenon_H233 zenon_H1a zenon_Hc1 zenon_He0 zenon_Hc2 zenon_H1c4 zenon_H1c6. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1be ]. % 1.14/1.30 apply (zenon_L197_); trivial. % 1.14/1.30 apply (zenon_L256_); trivial. % 1.14/1.30 (* end of lemma zenon_L257_ *) % 1.14/1.30 assert (zenon_L258_ : ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (c3_1 (a3)) -> (c2_1 (a3)) -> (c1_1 (a3)) -> (forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1)))))) -> (ndr1_0) -> (forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36)))))) -> (~(c0_1 (a7))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (c0_1 (a18)) -> (c2_1 (a18)) -> (~(c3_1 (a18))) -> (~(hskp19)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> False). % 1.14/1.30 do 0 intro. intros zenon_Hd3 zenon_H1f zenon_H1e zenon_H1d zenon_Hd6 zenon_H1a zenon_H49 zenon_H233 zenon_H235 zenon_H234 zenon_He0 zenon_Hc2 zenon_Hc1 zenon_H144 zenon_H14a. % 1.14/1.30 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_Had | zenon_intro zenon_Hcd ]. % 1.14/1.30 apply (zenon_L247_); trivial. % 1.14/1.30 apply (zenon_L53_); trivial. % 1.14/1.30 (* end of lemma zenon_L258_ *) % 1.14/1.30 assert (zenon_L259_ : ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp19)) -> (~(c3_1 (a18))) -> (c2_1 (a18)) -> (c0_1 (a18)) -> (c1_1 (a7)) -> (c3_1 (a7)) -> (~(c0_1 (a7))) -> (forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1)))))) -> (c1_1 (a3)) -> (c2_1 (a3)) -> (c3_1 (a3)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c2_1 (a31)) -> (c0_1 (a31)) -> (~(c1_1 (a31))) -> (c1_1 (a25)) -> (c0_1 (a25)) -> (~(c3_1 (a25))) -> (ndr1_0) -> (forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(hskp11)) -> False). % 1.14/1.30 do 0 intro. intros zenon_H93 zenon_H14a zenon_H144 zenon_Hc1 zenon_Hc2 zenon_He0 zenon_H234 zenon_H235 zenon_H233 zenon_Hd6 zenon_H1d zenon_H1e zenon_H1f zenon_Hfc zenon_H33 zenon_H3c zenon_H32 zenon_H19a zenon_H18f zenon_H18e zenon_H1a zenon_H3b zenon_Hd3 zenon_H91. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H49 | zenon_intro zenon_H94 ]. % 1.14/1.30 apply (zenon_L258_); trivial. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H8e | zenon_intro zenon_H92 ]. % 1.14/1.30 apply (zenon_L156_); trivial. % 1.14/1.30 exact (zenon_H91 zenon_H92). % 1.14/1.30 (* end of lemma zenon_L259_ *) % 1.14/1.30 assert (zenon_L260_ : ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp27)\/(hskp26))) -> (~(hskp11)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10)))))) -> (ndr1_0) -> (~(c3_1 (a25))) -> (c0_1 (a25)) -> (c1_1 (a25)) -> (~(c1_1 (a31))) -> (c0_1 (a31)) -> (c2_1 (a31)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c3_1 (a3)) -> (c2_1 (a3)) -> (c1_1 (a3)) -> (~(c0_1 (a7))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (c0_1 (a18)) -> (c2_1 (a18)) -> (~(c3_1 (a18))) -> (~(hskp19)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp27)) -> (~(hskp26)) -> False). % 1.14/1.30 do 0 intro. intros zenon_H1f2 zenon_H91 zenon_Hd3 zenon_H3b zenon_H1a zenon_H18e zenon_H18f zenon_H19a zenon_H32 zenon_H3c zenon_H33 zenon_Hfc zenon_H1f zenon_H1e zenon_H1d zenon_H233 zenon_H235 zenon_H234 zenon_He0 zenon_Hc2 zenon_Hc1 zenon_H144 zenon_H14a zenon_H93 zenon_H59 zenon_H1b3. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H1f3 ]. % 1.14/1.30 apply (zenon_L259_); trivial. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H5a | zenon_intro zenon_H1b4 ]. % 1.14/1.30 exact (zenon_H59 zenon_H5a). % 1.14/1.30 exact (zenon_H1b3 zenon_H1b4). % 1.14/1.30 (* end of lemma zenon_L260_ *) % 1.14/1.30 assert (zenon_L261_ : ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> (~(c0_1 (a7))) -> (forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))) -> (c2_1 (a18)) -> (c0_1 (a18)) -> (~(c3_1 (a18))) -> (ndr1_0) -> (~(hskp11)) -> False). % 1.14/1.30 do 0 intro. intros zenon_H93 zenon_H234 zenon_H235 zenon_H233 zenon_H6d zenon_Hc2 zenon_He0 zenon_Hc1 zenon_H1a zenon_H91. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H49 | zenon_intro zenon_H94 ]. % 1.14/1.30 apply (zenon_L246_); trivial. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H8e | zenon_intro zenon_H92 ]. % 1.14/1.30 apply (zenon_L59_); trivial. % 1.14/1.30 exact (zenon_H91 zenon_H92). % 1.14/1.30 (* end of lemma zenon_L261_ *) % 1.14/1.30 assert (zenon_L262_ : ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c1_1 (a11)) -> (c3_1 (a11)) -> (c0_1 (a11)) -> (forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))) -> (~(c3_1 (a18))) -> (c2_1 (a18)) -> (c0_1 (a18)) -> (ndr1_0) -> (forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10)))))) -> (~(hskp19)) -> False). % 1.14/1.30 do 0 intro. intros zenon_H14a zenon_H6f zenon_H70 zenon_H9b zenon_Hcd zenon_Hc1 zenon_Hc2 zenon_He0 zenon_H1a zenon_H3b zenon_H144. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_H6d | zenon_intro zenon_H14e ]. % 1.14/1.30 apply (zenon_L170_); trivial. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H1c | zenon_intro zenon_H145 ]. % 1.14/1.30 apply (zenon_L150_); trivial. % 1.14/1.30 exact (zenon_H144 zenon_H145). % 1.14/1.30 (* end of lemma zenon_L262_ *) % 1.14/1.30 assert (zenon_L263_ : ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp19)) -> (c1_1 (a7)) -> (c3_1 (a7)) -> (~(c0_1 (a7))) -> (forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10)))))) -> (c1_1 (a11)) -> (c3_1 (a11)) -> (c0_1 (a11)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (c2_1 (a18)) -> (c0_1 (a18)) -> (~(c3_1 (a18))) -> (ndr1_0) -> (~(hskp11)) -> False). % 1.14/1.30 do 0 intro. intros zenon_H93 zenon_H14a zenon_H144 zenon_H234 zenon_H235 zenon_H233 zenon_H3b zenon_H6f zenon_H70 zenon_H9b zenon_Hd3 zenon_Hc2 zenon_He0 zenon_Hc1 zenon_H1a zenon_H91. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H49 | zenon_intro zenon_H94 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_Had | zenon_intro zenon_Hcd ]. % 1.14/1.30 apply (zenon_L247_); trivial. % 1.14/1.30 apply (zenon_L262_); trivial. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H8e | zenon_intro zenon_H92 ]. % 1.14/1.30 apply (zenon_L59_); trivial. % 1.14/1.30 exact (zenon_H91 zenon_H92). % 1.14/1.30 (* end of lemma zenon_L263_ *) % 1.14/1.30 assert (zenon_L264_ : ((ndr1_0)/\((c0_1 (a11))/\((c1_1 (a11))/\(c3_1 (a11))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> (~(hskp11)) -> (~(c3_1 (a18))) -> (c0_1 (a18)) -> (c2_1 (a18)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(c0_1 (a7))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(hskp19)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp4)) -> False). % 1.14/1.30 do 0 intro. intros zenon_H98 zenon_H42 zenon_H91 zenon_Hc1 zenon_He0 zenon_Hc2 zenon_Hd3 zenon_H233 zenon_H235 zenon_H234 zenon_H144 zenon_H14a zenon_H93 zenon_Hd. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H98). zenon_intro zenon_H1a. zenon_intro zenon_H99. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H99). zenon_intro zenon_H9b. zenon_intro zenon_H9a. % 1.14/1.30 apply (zenon_and_s _ _ zenon_H9a). zenon_intro zenon_H6f. zenon_intro zenon_H70. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H1b | zenon_intro zenon_H46 ]. % 1.14/1.30 apply (zenon_L242_); trivial. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_He ]. % 1.14/1.30 apply (zenon_L263_); trivial. % 1.14/1.30 exact (zenon_Hd zenon_He). % 1.14/1.30 (* end of lemma zenon_L264_ *) % 1.14/1.30 assert (zenon_L265_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a11))/\((c1_1 (a11))/\(c3_1 (a11)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> (~(hskp26)) -> (~(hskp25)) -> (~(c3_1 (a37))) -> (~(c0_1 (a37))) -> (ndr1_0) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp27)\/(hskp26))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (c3_1 (a3)) -> (c2_1 (a3)) -> (c1_1 (a3)) -> (~(c0_1 (a7))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (c0_1 (a18)) -> (c2_1 (a18)) -> (~(c3_1 (a18))) -> (~(hskp19)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(c3_1 (a25))) -> (c0_1 (a25)) -> (c1_1 (a25)) -> (~(c1_1 (a31))) -> (c0_1 (a31)) -> (c2_1 (a31)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(hskp11)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> False). % 1.14/1.30 do 0 intro. intros zenon_H97 zenon_H42 zenon_Hd zenon_H1c2 zenon_H1b3 zenon_H12c zenon_H1cf zenon_H1ce zenon_H1a zenon_H1f2 zenon_Hd3 zenon_H1f zenon_H1e zenon_H1d zenon_H233 zenon_H235 zenon_H234 zenon_He0 zenon_Hc2 zenon_Hc1 zenon_H144 zenon_H14a zenon_H18e zenon_H18f zenon_H19a zenon_H32 zenon_H3c zenon_H33 zenon_Hfc zenon_H91 zenon_H93 zenon_H1ee. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H98 ]. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H1ee); [ zenon_intro zenon_H1e7 | zenon_intro zenon_H1ef ]. % 1.14/1.30 apply (zenon_L167_); trivial. % 1.14/1.30 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H3b | zenon_intro zenon_H6d ]. % 1.14/1.30 apply (zenon_L260_); trivial. % 1.14/1.30 apply (zenon_L261_); trivial. % 1.14/1.30 apply (zenon_L264_); trivial. % 1.14/1.30 (* end of lemma zenon_L265_ *) % 1.14/1.30 assert (zenon_L266_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c2_1 (a31)) -> (c0_1 (a31)) -> (~(c1_1 (a31))) -> (c1_1 (a25)) -> (c0_1 (a25)) -> (~(c3_1 (a25))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp19)) -> (~(c3_1 (a18))) -> (c2_1 (a18)) -> (c0_1 (a18)) -> (c1_1 (a7)) -> (c3_1 (a7)) -> (~(c0_1 (a7))) -> (c1_1 (a3)) -> (c2_1 (a3)) -> (c3_1 (a3)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp27)\/(hskp26))) -> (ndr1_0) -> (~(c0_1 (a37))) -> (~(c3_1 (a37))) -> (~(hskp25)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> (~(hskp4)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a11))/\((c1_1 (a11))/\(c3_1 (a11)))))) -> False). % 1.14/1.31 do 0 intro. intros zenon_H1c1 zenon_H1ee zenon_H93 zenon_H91 zenon_Hfc zenon_H33 zenon_H3c zenon_H32 zenon_H19a zenon_H18f zenon_H18e zenon_H14a zenon_H144 zenon_Hc1 zenon_Hc2 zenon_He0 zenon_H234 zenon_H235 zenon_H233 zenon_H1d zenon_H1e zenon_H1f zenon_Hd3 zenon_H1f2 zenon_H1a zenon_H1ce zenon_H1cf zenon_H12c zenon_H1c2 zenon_Hd zenon_H42 zenon_H97. % 1.14/1.31 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1be ]. % 1.14/1.31 apply (zenon_L265_); trivial. % 1.14/1.31 apply (zenon_L256_); trivial. % 1.14/1.31 (* end of lemma zenon_L266_ *) % 1.14/1.31 assert (zenon_L267_ : ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> (~(c0_1 (a7))) -> (c1_1 (a3)) -> (c3_1 (a3)) -> (c2_1 (a3)) -> (forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36)))))) -> (ndr1_0) -> (~(hskp19)) -> False). % 1.14/1.31 do 0 intro. intros zenon_H14a zenon_H234 zenon_H235 zenon_H233 zenon_H1d zenon_H1f zenon_H1e zenon_H49 zenon_H1a zenon_H144. % 1.14/1.31 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_H6d | zenon_intro zenon_H14e ]. % 1.14/1.31 apply (zenon_L246_); trivial. % 1.14/1.31 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H1c | zenon_intro zenon_H145 ]. % 1.14/1.31 apply (zenon_L110_); trivial. % 1.14/1.31 exact (zenon_H144 zenon_H145). % 1.14/1.31 (* end of lemma zenon_L267_ *) % 1.14/1.31 assert (zenon_L268_ : ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp19)) -> (c2_1 (a3)) -> (c3_1 (a3)) -> (c1_1 (a3)) -> (~(c0_1 (a7))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c1_1 (a25)) -> (c0_1 (a25)) -> (~(c3_1 (a25))) -> (ndr1_0) -> (forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11)))))) -> (~(hskp11)) -> False). % 1.14/1.31 do 0 intro. intros zenon_H93 zenon_H144 zenon_H1e zenon_H1f zenon_H1d zenon_H233 zenon_H235 zenon_H234 zenon_H14a zenon_H19a zenon_H18f zenon_H18e zenon_H1a zenon_Hf3 zenon_H91. % 1.14/1.31 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H49 | zenon_intro zenon_H94 ]. % 1.14/1.31 apply (zenon_L267_); trivial. % 1.14/1.31 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H8e | zenon_intro zenon_H92 ]. % 1.14/1.31 apply (zenon_L114_); trivial. % 1.14/1.31 exact (zenon_H91 zenon_H92). % 1.14/1.31 (* end of lemma zenon_L268_ *) % 1.14/1.31 assert (zenon_L269_ : ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> (~(hskp11)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (ndr1_0) -> (~(c3_1 (a25))) -> (c0_1 (a25)) -> (c1_1 (a25)) -> (~(c1_1 (a31))) -> (c0_1 (a31)) -> (c2_1 (a31)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))) -> (~(c0_1 (a7))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp4)) -> False). % 1.14/1.31 do 0 intro. intros zenon_H42 zenon_H91 zenon_Hd3 zenon_H1a zenon_H18e zenon_H18f zenon_H19a zenon_H32 zenon_H3c zenon_H33 zenon_Hfc zenon_H6d zenon_H233 zenon_H235 zenon_H234 zenon_H93 zenon_Hd. % 1.14/1.31 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H1b | zenon_intro zenon_H46 ]. % 1.14/1.31 apply (zenon_L242_); trivial. % 1.14/1.31 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_He ]. % 1.14/1.31 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H49 | zenon_intro zenon_H94 ]. % 1.14/1.31 apply (zenon_L246_); trivial. % 1.14/1.31 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H8e | zenon_intro zenon_H92 ]. % 1.14/1.31 apply (zenon_L156_); trivial. % 1.14/1.31 exact (zenon_H91 zenon_H92). % 1.14/1.31 exact (zenon_Hd zenon_He). % 1.14/1.31 (* end of lemma zenon_L269_ *) % 1.14/1.31 assert (zenon_L270_ : (forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44)))))) -> (ndr1_0) -> (~(c1_1 (a31))) -> (forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40)))))) -> (c0_1 (a31)) -> (c2_1 (a31)) -> False). % 1.14/1.31 do 0 intro. intros zenon_Had zenon_H1a zenon_H32 zenon_H243 zenon_H3c zenon_H33. % 1.14/1.31 generalize (zenon_Had (a31)). zenon_intro zenon_Hd0. % 1.14/1.31 apply (zenon_imply_s _ _ zenon_Hd0); [ zenon_intro zenon_H19 | zenon_intro zenon_Hd1 ]. % 1.14/1.31 exact (zenon_H19 zenon_H1a). % 1.14/1.31 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_H38 | zenon_intro zenon_Hd2 ]. % 1.14/1.31 exact (zenon_H32 zenon_H38). % 1.14/1.31 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_H34 | zenon_intro zenon_H3a ]. % 1.14/1.31 generalize (zenon_H243 (a31)). zenon_intro zenon_H244. % 1.14/1.31 apply (zenon_imply_s _ _ zenon_H244); [ zenon_intro zenon_H19 | zenon_intro zenon_H245 ]. % 1.14/1.31 exact (zenon_H19 zenon_H1a). % 1.14/1.31 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H38 | zenon_intro zenon_H246 ]. % 1.14/1.31 exact (zenon_H32 zenon_H38). % 1.14/1.31 apply (zenon_or_s _ _ zenon_H246); [ zenon_intro zenon_H40 | zenon_intro zenon_H39 ]. % 1.14/1.31 exact (zenon_H40 zenon_H3c). % 1.14/1.31 exact (zenon_H39 zenon_H34). % 1.14/1.31 exact (zenon_H3a zenon_H33). % 1.14/1.31 (* end of lemma zenon_L270_ *) % 1.14/1.31 assert (zenon_L271_ : ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (c3_1 (a10)) -> (c2_1 (a10)) -> (c0_1 (a10)) -> (c2_1 (a31)) -> (c0_1 (a31)) -> (forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40)))))) -> (~(c1_1 (a31))) -> (ndr1_0) -> False). % 1.14/1.31 do 0 intro. intros zenon_Hd3 zenon_H1b7 zenon_H1b6 zenon_H1b5 zenon_H33 zenon_H3c zenon_H243 zenon_H32 zenon_H1a. % 1.14/1.31 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_Had | zenon_intro zenon_Hcd ]. % 1.14/1.31 apply (zenon_L270_); trivial. % 1.14/1.31 apply (zenon_L133_); trivial. % 1.14/1.31 (* end of lemma zenon_L271_ *) % 1.14/1.31 assert (zenon_L272_ : ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/(hskp13))) -> (~(hskp19)) -> (forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36)))))) -> (c2_1 (a3)) -> (c3_1 (a3)) -> (c1_1 (a3)) -> (~(c2_1 (a14))) -> (c0_1 (a14)) -> (c3_1 (a14)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (ndr1_0) -> (~(c1_1 (a31))) -> (c0_1 (a31)) -> (c2_1 (a31)) -> (c0_1 (a10)) -> (c2_1 (a10)) -> (c3_1 (a10)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(hskp13)) -> False). % 1.14/1.31 do 0 intro. intros zenon_H247 zenon_H144 zenon_H49 zenon_H1e zenon_H1f zenon_H1d zenon_H11f zenon_H120 zenon_H121 zenon_H14a zenon_H1a zenon_H32 zenon_H3c zenon_H33 zenon_H1b5 zenon_H1b6 zenon_H1b7 zenon_Hd3 zenon_H5. % 1.14/1.31 apply (zenon_or_s _ _ zenon_H247); [ zenon_intro zenon_Hf2 | zenon_intro zenon_H248 ]. % 1.14/1.31 apply (zenon_L111_); trivial. % 1.14/1.31 apply (zenon_or_s _ _ zenon_H248); [ zenon_intro zenon_H243 | zenon_intro zenon_H6 ]. % 1.14/1.31 apply (zenon_L271_); trivial. % 1.14/1.31 exact (zenon_H5 zenon_H6). % 1.14/1.31 (* end of lemma zenon_L272_ *) % 1.14/1.31 assert (zenon_L273_ : ((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp13)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (c2_1 (a31)) -> (c0_1 (a31)) -> (~(c1_1 (a31))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c3_1 (a14)) -> (c0_1 (a14)) -> (~(c2_1 (a14))) -> (c1_1 (a3)) -> (c3_1 (a3)) -> (c2_1 (a3)) -> (~(hskp19)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/(hskp13))) -> (c2_1 (a18)) -> (c0_1 (a18)) -> (~(c3_1 (a18))) -> (~(hskp11)) -> False). % 1.14/1.31 do 0 intro. intros zenon_H1be zenon_H93 zenon_H5 zenon_Hd3 zenon_H33 zenon_H3c zenon_H32 zenon_H14a zenon_H121 zenon_H120 zenon_H11f zenon_H1d zenon_H1f zenon_H1e zenon_H144 zenon_H247 zenon_Hc2 zenon_He0 zenon_Hc1 zenon_H91. % 1.14/1.31 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H1a. zenon_intro zenon_H1bf. % 1.14/1.31 apply (zenon_and_s _ _ zenon_H1bf). zenon_intro zenon_H1b5. zenon_intro zenon_H1c0. % 1.14/1.31 apply (zenon_and_s _ _ zenon_H1c0). zenon_intro zenon_H1b6. zenon_intro zenon_H1b7. % 1.14/1.31 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H49 | zenon_intro zenon_H94 ]. % 1.14/1.31 apply (zenon_L272_); trivial. % 1.14/1.31 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H8e | zenon_intro zenon_H92 ]. % 1.14/1.31 apply (zenon_L59_); trivial. % 1.14/1.31 exact (zenon_H91 zenon_H92). % 1.14/1.31 (* end of lemma zenon_L273_ *) % 1.14/1.31 assert (zenon_L274_ : ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp19)) -> (~(c3_1 (a18))) -> (c2_1 (a18)) -> (c0_1 (a18)) -> (c3_1 (a14)) -> (c0_1 (a14)) -> (forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14)))))) -> (~(c2_1 (a14))) -> (ndr1_0) -> (~(c1_1 (a31))) -> (c0_1 (a31)) -> (c2_1 (a31)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(hskp4)) -> False). % 1.14/1.31 do 0 intro. intros zenon_H42 zenon_H235 zenon_H234 zenon_H233 zenon_H14a zenon_H144 zenon_Hc1 zenon_Hc2 zenon_He0 zenon_H121 zenon_H120 zenon_Hf2 zenon_H11f zenon_H1a zenon_H32 zenon_H3c zenon_H33 zenon_Hd3 zenon_Hd. % 1.14/1.31 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H1b | zenon_intro zenon_H46 ]. % 1.14/1.31 apply (zenon_L242_); trivial. % 1.14/1.31 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_He ]. % 1.14/1.31 apply (zenon_L209_); trivial. % 1.14/1.31 exact (zenon_Hd zenon_He). % 1.14/1.31 (* end of lemma zenon_L274_ *) % 1.14/1.31 assert (zenon_L275_ : ((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (c2_1 (a31)) -> (c0_1 (a31)) -> (~(c1_1 (a31))) -> (~(c2_1 (a14))) -> (c0_1 (a14)) -> (c3_1 (a14)) -> (c0_1 (a18)) -> (c2_1 (a18)) -> (~(c3_1 (a18))) -> (~(hskp19)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> (~(hskp4)) -> False). % 1.14/1.31 do 0 intro. intros zenon_Ha1 zenon_H1a9 zenon_Hd3 zenon_H33 zenon_H3c zenon_H32 zenon_H11f zenon_H120 zenon_H121 zenon_He0 zenon_Hc2 zenon_Hc1 zenon_H144 zenon_H14a zenon_H233 zenon_H234 zenon_H235 zenon_H42 zenon_Hd. % 1.14/1.31 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H1a. zenon_intro zenon_Ha2. % 1.14/1.31 apply (zenon_and_s _ _ zenon_Ha2). zenon_intro zenon_H4d. zenon_intro zenon_Ha3. % 1.14/1.31 apply (zenon_and_s _ _ zenon_Ha3). zenon_intro zenon_H4a. zenon_intro zenon_H4c. % 1.14/1.31 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H1aa ]. % 1.14/1.31 apply (zenon_L125_); trivial. % 1.14/1.31 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_Hf2 | zenon_intro zenon_He ]. % 1.14/1.31 apply (zenon_L274_); trivial. % 1.14/1.31 exact (zenon_Hd zenon_He). % 1.14/1.31 (* end of lemma zenon_L275_ *) % 1.14/1.31 assert (zenon_L276_ : ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp19)) -> (c2_1 (a3)) -> (c3_1 (a3)) -> (c1_1 (a3)) -> (~(c2_1 (a14))) -> (forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14)))))) -> (c0_1 (a14)) -> (c3_1 (a14)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c2_1 (a31)) -> (c0_1 (a31)) -> (~(c1_1 (a31))) -> (c1_1 (a25)) -> (c0_1 (a25)) -> (~(c3_1 (a25))) -> (ndr1_0) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(hskp11)) -> False). % 1.14/1.31 do 0 intro. intros zenon_H93 zenon_H144 zenon_H1e zenon_H1f zenon_H1d zenon_H11f zenon_Hf2 zenon_H120 zenon_H121 zenon_H14a zenon_Hfc zenon_H33 zenon_H3c zenon_H32 zenon_H19a zenon_H18f zenon_H18e zenon_H1a zenon_Hd3 zenon_H91. % 1.14/1.31 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H49 | zenon_intro zenon_H94 ]. % 1.14/1.31 apply (zenon_L111_); trivial. % 1.14/1.31 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H8e | zenon_intro zenon_H92 ]. % 1.14/1.31 apply (zenon_L117_); trivial. % 1.14/1.31 exact (zenon_H91 zenon_H92). % 1.14/1.31 (* end of lemma zenon_L276_ *) % 1.14/1.31 assert (zenon_L277_ : ((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> (c3_1 (a53)) -> (~(c1_1 (a53))) -> (~(c0_1 (a53))) -> (~(hskp11)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(c3_1 (a25))) -> (c0_1 (a25)) -> (c1_1 (a25)) -> (~(c1_1 (a31))) -> (c0_1 (a31)) -> (c2_1 (a31)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c3_1 (a14)) -> (c0_1 (a14)) -> (~(c2_1 (a14))) -> (~(hskp19)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp4)) -> False). % 1.14/1.31 do 0 intro. intros zenon_H41 zenon_H1a9 zenon_H4d zenon_H4c zenon_H4a zenon_H91 zenon_Hd3 zenon_H18e zenon_H18f zenon_H19a zenon_H32 zenon_H3c zenon_H33 zenon_Hfc zenon_H14a zenon_H121 zenon_H120 zenon_H11f zenon_H144 zenon_H93 zenon_Hd. % 1.14/1.31 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H1a. zenon_intro zenon_H44. % 1.14/1.31 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H1d. zenon_intro zenon_H45. % 1.14/1.31 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H1e. zenon_intro zenon_H1f. % 1.14/1.31 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H1aa ]. % 1.14/1.31 apply (zenon_L125_); trivial. % 1.14/1.31 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_Hf2 | zenon_intro zenon_He ]. % 1.14/1.31 apply (zenon_L276_); trivial. % 1.14/1.31 exact (zenon_Hd zenon_He). % 1.14/1.31 (* end of lemma zenon_L277_ *) % 1.14/1.31 assert (zenon_L278_ : ((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp19)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(c3_1 (a25))) -> (c0_1 (a25)) -> (c1_1 (a25)) -> (~(c1_1 (a31))) -> (c0_1 (a31)) -> (c2_1 (a31)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(hskp11)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((hskp9)\/(hskp24))) -> (~(hskp9)) -> (c3_1 (a14)) -> (c0_1 (a14)) -> (~(c2_1 (a14))) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> False). % 1.14/1.31 do 0 intro. intros zenon_Ha1 zenon_H48 zenon_H14a zenon_H144 zenon_Hd3 zenon_H18e zenon_H18f zenon_H19a zenon_H32 zenon_H3c zenon_H33 zenon_Hfc zenon_H91 zenon_H93 zenon_H7b zenon_H3 zenon_H121 zenon_H120 zenon_H11f zenon_Hd zenon_H1a9. % 1.14/1.31 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H1a. zenon_intro zenon_Ha2. % 1.14/1.31 apply (zenon_and_s _ _ zenon_Ha2). zenon_intro zenon_H4d. zenon_intro zenon_Ha3. % 1.14/1.31 apply (zenon_and_s _ _ zenon_Ha3). zenon_intro zenon_H4a. zenon_intro zenon_H4c. % 1.14/1.31 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H11 | zenon_intro zenon_H41 ]. % 1.14/1.31 apply (zenon_L127_); trivial. % 1.14/1.31 apply (zenon_L277_); trivial. % 1.14/1.31 (* end of lemma zenon_L278_ *) % 1.14/1.31 assert (zenon_L279_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (c2_1 (a19)) -> (~(c3_1 (a19))) -> (~(c1_1 (a19))) -> (ndr1_0) -> (~(c3_1 (a18))) -> (c0_1 (a18)) -> (c2_1 (a18)) -> (~(hskp20)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> False). % 1.14/1.31 do 0 intro. intros zenon_H1c1 zenon_Hd3 zenon_Hb0 zenon_Haf zenon_Hae zenon_H1a zenon_Hc1 zenon_He0 zenon_Hc2 zenon_H1c4 zenon_H1c6. % 1.14/1.31 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1be ]. % 1.14/1.31 apply (zenon_L197_); trivial. % 1.14/1.31 apply (zenon_L134_); trivial. % 1.14/1.31 (* end of lemma zenon_L279_ *) % 1.14/1.31 assert (zenon_L280_ : ((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp8)\/(hskp9))) -> (~(hskp9)) -> (~(hskp8)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> (c2_1 (a18)) -> (c0_1 (a18)) -> (~(c3_1 (a18))) -> (~(c1_1 (a19))) -> (~(c3_1 (a19))) -> (c2_1 (a19)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> False). % 1.14/1.31 do 0 intro. intros zenon_H176 zenon_H1da zenon_H1a3 zenon_H3 zenon_Hb zenon_H95 zenon_H1c6 zenon_Hc2 zenon_He0 zenon_Hc1 zenon_Hae zenon_Haf zenon_Hb0 zenon_Hd3 zenon_H1c1. % 1.14/1.31 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1a. zenon_intro zenon_H178. % 1.14/1.31 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H16a. zenon_intro zenon_H179. % 1.14/1.31 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H171. zenon_intro zenon_H168. % 1.14/1.31 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.14/1.31 apply (zenon_L279_); trivial. % 1.14/1.31 apply (zenon_L146_); trivial. % 1.14/1.31 (* end of lemma zenon_L280_ *) % 1.14/1.31 assert (zenon_L281_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp8)\/(hskp9))) -> (~(hskp9)) -> (~(hskp8)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> (~(c1_1 (a19))) -> (~(c3_1 (a19))) -> (c2_1 (a19)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> (ndr1_0) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (~(hskp15)) -> (c0_1 (a14)) -> (~(c2_1 (a14))) -> (c3_1 (a14)) -> (c0_1 (a18)) -> (c2_1 (a18)) -> (~(c3_1 (a18))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp4)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> False). % 1.14/1.31 do 0 intro. intros zenon_H17b zenon_H1da zenon_H1a3 zenon_H3 zenon_Hb zenon_H95 zenon_H1c6 zenon_Hae zenon_Haf zenon_Hb0 zenon_Hd3 zenon_H1c1 zenon_H1a zenon_H233 zenon_H234 zenon_H235 zenon_H149 zenon_H146 zenon_H120 zenon_H11f zenon_H121 zenon_He0 zenon_Hc2 zenon_Hc1 zenon_H14a zenon_Hd zenon_H42. % 1.14/1.31 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.14/1.31 apply (zenon_L252_); trivial. % 1.14/1.31 apply (zenon_L280_); trivial. % 1.14/1.31 (* end of lemma zenon_L281_ *) % 1.14/1.31 assert (zenon_L282_ : ((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> (~(hskp20)) -> (c2_1 (a19)) -> (~(c1_1 (a19))) -> (~(c3_1 (a19))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> False). % 1.14/1.31 do 0 intro. intros zenon_H41 zenon_H1c1 zenon_H1c6 zenon_H1c4 zenon_Hb0 zenon_Hae zenon_Haf zenon_Hd3 zenon_H177. % 1.14/1.31 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H1a. zenon_intro zenon_H44. % 1.14/1.31 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H1d. zenon_intro zenon_H45. % 1.14/1.31 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H1e. zenon_intro zenon_H1f. % 1.14/1.31 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1be ]. % 1.14/1.31 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hd6 ]. % 1.14/1.31 apply (zenon_L140_); trivial. % 1.14/1.31 apply (zenon_L123_); trivial. % 1.14/1.31 apply (zenon_L134_); trivial. % 1.14/1.31 (* end of lemma zenon_L282_ *) % 1.14/1.31 assert (zenon_L283_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> (~(hskp20)) -> (c2_1 (a19)) -> (~(c1_1 (a19))) -> (~(c3_1 (a19))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> (~(hskp23)) -> (~(hskp0)) -> ((hskp24)\/((hskp23)\/(hskp0))) -> False). % 1.14/1.31 do 0 intro. intros zenon_H48 zenon_H1c1 zenon_H1c6 zenon_H1c4 zenon_Hb0 zenon_Hae zenon_Haf zenon_Hd3 zenon_H177 zenon_H13 zenon_H15 zenon_H17. % 1.14/1.31 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H11 | zenon_intro zenon_H41 ]. % 1.14/1.31 apply (zenon_L12_); trivial. % 1.14/1.31 apply (zenon_L282_); trivial. % 1.14/1.31 (* end of lemma zenon_L283_ *) % 1.14/1.31 assert (zenon_L284_ : ((~(hskp23))\/((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((hskp9)\/(hskp24))) -> (~(hskp9)) -> (c3_1 (a14)) -> (c0_1 (a14)) -> (~(c2_1 (a14))) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> ((hskp24)\/((hskp23)\/(hskp0))) -> (~(hskp0)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(c3_1 (a19))) -> (~(c1_1 (a19))) -> (c2_1 (a19)) -> (~(hskp20)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> False). % 1.14/1.31 do 0 intro. intros zenon_H9d zenon_H7b zenon_H3 zenon_H121 zenon_H120 zenon_H11f zenon_Hd zenon_H1a9 zenon_H17 zenon_H15 zenon_H177 zenon_Hd3 zenon_Haf zenon_Hae zenon_Hb0 zenon_H1c4 zenon_H1c6 zenon_H1c1 zenon_H48. % 1.14/1.31 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H13 | zenon_intro zenon_Ha1 ]. % 1.14/1.31 apply (zenon_L283_); trivial. % 1.14/1.31 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H1a. zenon_intro zenon_Ha2. % 1.14/1.31 apply (zenon_and_s _ _ zenon_Ha2). zenon_intro zenon_H4d. zenon_intro zenon_Ha3. % 1.14/1.31 apply (zenon_and_s _ _ zenon_Ha3). zenon_intro zenon_H4a. zenon_intro zenon_H4c. % 1.14/1.31 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H11 | zenon_intro zenon_H41 ]. % 1.14/1.31 apply (zenon_L127_); trivial. % 1.14/1.31 apply (zenon_L282_); trivial. % 1.14/1.31 (* end of lemma zenon_L284_ *) % 1.14/1.31 assert (zenon_L285_ : ((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp8)\/(hskp9))) -> (~(hskp8)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> (c2_1 (a19)) -> (~(c1_1 (a19))) -> (~(c3_1 (a19))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> (~(hskp0)) -> ((hskp24)\/((hskp23)\/(hskp0))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> (~(hskp4)) -> (~(c2_1 (a14))) -> (c0_1 (a14)) -> (c3_1 (a14)) -> (~(hskp9)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((hskp9)\/(hskp24))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53))))))) -> False). % 1.14/1.31 do 0 intro. intros zenon_H176 zenon_H1da zenon_H1a3 zenon_Hb zenon_H95 zenon_H48 zenon_H1c1 zenon_H1c6 zenon_Hb0 zenon_Hae zenon_Haf zenon_Hd3 zenon_H177 zenon_H15 zenon_H17 zenon_H1a9 zenon_Hd zenon_H11f zenon_H120 zenon_H121 zenon_H3 zenon_H7b zenon_H9d. % 1.14/1.31 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1a. zenon_intro zenon_H178. % 1.14/1.31 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H16a. zenon_intro zenon_H179. % 1.14/1.31 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H171. zenon_intro zenon_H168. % 1.14/1.31 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.14/1.31 apply (zenon_L284_); trivial. % 1.14/1.31 apply (zenon_L146_); trivial. % 1.14/1.31 (* end of lemma zenon_L285_ *) % 1.14/1.31 assert (zenon_L286_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a11))/\((c1_1 (a11))/\(c3_1 (a11)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> (c2_1 (a9)) -> (c1_1 (a9)) -> (c0_1 (a9)) -> (~(c2_1 (a16))) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> (~(hskp2)) -> (~(hskp14)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((hskp2)\/(hskp14))) -> (~(c3_1 (a37))) -> (~(c0_1 (a37))) -> (ndr1_0) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp27)\/(hskp26))) -> (~(hskp26)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (c3_1 (a3)) -> (c2_1 (a3)) -> (c1_1 (a3)) -> (~(c0_1 (a7))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (c0_1 (a18)) -> (c2_1 (a18)) -> (~(c3_1 (a18))) -> (~(hskp19)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(c3_1 (a25))) -> (c0_1 (a25)) -> (c1_1 (a25)) -> (~(c1_1 (a31))) -> (c0_1 (a31)) -> (c2_1 (a31)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(hskp11)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> False). % 1.14/1.31 do 0 intro. intros zenon_H97 zenon_H42 zenon_Hd zenon_H1f0 zenon_H13d zenon_H13c zenon_H13b zenon_He9 zenon_Hea zenon_Heb zenon_Hfe zenon_H100 zenon_H113 zenon_H1cf zenon_H1ce zenon_H1a zenon_H1f2 zenon_H1b3 zenon_Hd3 zenon_H1f zenon_H1e zenon_H1d zenon_H233 zenon_H235 zenon_H234 zenon_He0 zenon_Hc2 zenon_Hc1 zenon_H144 zenon_H14a zenon_H18e zenon_H18f zenon_H19a zenon_H32 zenon_H3c zenon_H33 zenon_Hfc zenon_H91 zenon_H93 zenon_H1ee. % 1.14/1.31 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H98 ]. % 1.14/1.31 apply (zenon_or_s _ _ zenon_H1ee); [ zenon_intro zenon_H1e7 | zenon_intro zenon_H1ef ]. % 1.14/1.31 apply (zenon_L181_); trivial. % 1.14/1.31 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H3b | zenon_intro zenon_H6d ]. % 1.14/1.31 apply (zenon_L260_); trivial. % 1.14/1.31 apply (zenon_L261_); trivial. % 1.14/1.31 apply (zenon_L264_); trivial. % 1.14/1.31 (* end of lemma zenon_L286_ *) % 1.14/1.31 assert (zenon_L287_ : ((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> (~(c3_1 (a22))) -> (~(c2_1 (a22))) -> (~(c0_1 (a22))) -> (c0_1 (a18)) -> (c2_1 (a18)) -> (~(c3_1 (a18))) -> (~(hskp19)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> (~(hskp11)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(c3_1 (a25))) -> (c0_1 (a25)) -> (c1_1 (a25)) -> (~(c1_1 (a31))) -> (c0_1 (a31)) -> (c2_1 (a31)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(c0_1 (a7))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp4)) -> False). % 1.14/1.31 do 0 intro. intros zenon_H1be zenon_H1ee zenon_H81 zenon_H89 zenon_H80 zenon_He0 zenon_Hc2 zenon_Hc1 zenon_H144 zenon_H14a zenon_H42 zenon_H91 zenon_Hd3 zenon_H18e zenon_H18f zenon_H19a zenon_H32 zenon_H3c zenon_H33 zenon_Hfc zenon_H233 zenon_H235 zenon_H234 zenon_H93 zenon_Hd. % 1.14/1.31 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H1a. zenon_intro zenon_H1bf. % 1.14/1.31 apply (zenon_and_s _ _ zenon_H1bf). zenon_intro zenon_H1b5. zenon_intro zenon_H1c0. % 1.14/1.31 apply (zenon_and_s _ _ zenon_H1c0). zenon_intro zenon_H1b6. zenon_intro zenon_H1b7. % 1.14/1.31 apply (zenon_or_s _ _ zenon_H1ee); [ zenon_intro zenon_H1e7 | zenon_intro zenon_H1ef ]. % 1.14/1.31 apply (zenon_L221_); trivial. % 1.14/1.31 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H3b | zenon_intro zenon_H6d ]. % 1.14/1.31 apply (zenon_L255_); trivial. % 1.14/1.31 apply (zenon_L269_); trivial. % 1.14/1.31 (* end of lemma zenon_L287_ *) % 1.14/1.31 assert (zenon_L288_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> (~(hskp4)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(c0_1 (a7))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(hskp19)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(c3_1 (a25))) -> (c0_1 (a25)) -> (c1_1 (a25)) -> (~(c1_1 (a31))) -> (c0_1 (a31)) -> (c2_1 (a31)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(hskp11)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(c3_1 (a22))) -> (~(c2_1 (a22))) -> (~(c0_1 (a22))) -> (ndr1_0) -> (~(c3_1 (a18))) -> (c0_1 (a18)) -> (c2_1 (a18)) -> (~(hskp20)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> False). % 1.14/1.31 do 0 intro. intros zenon_H1c1 zenon_H1ee zenon_Hd zenon_H42 zenon_Hd3 zenon_H233 zenon_H235 zenon_H234 zenon_H144 zenon_H14a zenon_H18e zenon_H18f zenon_H19a zenon_H32 zenon_H3c zenon_H33 zenon_Hfc zenon_H91 zenon_H93 zenon_H81 zenon_H89 zenon_H80 zenon_H1a zenon_Hc1 zenon_He0 zenon_Hc2 zenon_H1c4 zenon_H1c6. % 1.14/1.31 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1be ]. % 1.14/1.31 apply (zenon_L197_); trivial. % 1.14/1.31 apply (zenon_L287_); trivial. % 1.14/1.31 (* end of lemma zenon_L288_ *) % 1.14/1.31 assert (zenon_L289_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> (~(c3_1 (a22))) -> (~(c2_1 (a22))) -> (~(c0_1 (a22))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c2_1 (a31)) -> (c0_1 (a31)) -> (~(c1_1 (a31))) -> (c1_1 (a25)) -> (c0_1 (a25)) -> (~(c3_1 (a25))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp19)) -> (~(c3_1 (a18))) -> (c2_1 (a18)) -> (c0_1 (a18)) -> (c1_1 (a7)) -> (c3_1 (a7)) -> (~(c0_1 (a7))) -> (c1_1 (a3)) -> (c2_1 (a3)) -> (c3_1 (a3)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp27)\/(hskp26))) -> (ndr1_0) -> (~(c0_1 (a37))) -> (~(c3_1 (a37))) -> (~(hskp25)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> (~(hskp4)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a11))/\((c1_1 (a11))/\(c3_1 (a11)))))) -> False). % 1.14/1.31 do 0 intro. intros zenon_H1c1 zenon_H81 zenon_H89 zenon_H80 zenon_H1ee zenon_H93 zenon_H91 zenon_Hfc zenon_H33 zenon_H3c zenon_H32 zenon_H19a zenon_H18f zenon_H18e zenon_H14a zenon_H144 zenon_Hc1 zenon_Hc2 zenon_He0 zenon_H234 zenon_H235 zenon_H233 zenon_H1d zenon_H1e zenon_H1f zenon_Hd3 zenon_H1f2 zenon_H1a zenon_H1ce zenon_H1cf zenon_H12c zenon_H1c2 zenon_Hd zenon_H42 zenon_H97. % 1.14/1.31 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1be ]. % 1.14/1.31 apply (zenon_L265_); trivial. % 1.14/1.31 apply (zenon_L287_); trivial. % 1.14/1.31 (* end of lemma zenon_L289_ *) % 1.14/1.31 assert (zenon_L290_ : (forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))) -> (ndr1_0) -> (~(c1_1 (a24))) -> (c2_1 (a24)) -> (c3_1 (a24)) -> False). % 1.14/1.31 do 0 intro. intros zenon_H31 zenon_H1a zenon_H103 zenon_H104 zenon_H249. % 1.14/1.31 generalize (zenon_H31 (a24)). zenon_intro zenon_H24a. % 1.14/1.31 apply (zenon_imply_s _ _ zenon_H24a); [ zenon_intro zenon_H19 | zenon_intro zenon_H24b ]. % 1.14/1.31 exact (zenon_H19 zenon_H1a). % 1.14/1.31 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H10a | zenon_intro zenon_H24c ]. % 1.14/1.31 exact (zenon_H103 zenon_H10a). % 1.14/1.31 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_H109 | zenon_intro zenon_H24d ]. % 1.14/1.31 exact (zenon_H109 zenon_H104). % 1.14/1.31 exact (zenon_H24d zenon_H249). % 1.14/1.31 (* end of lemma zenon_L290_ *) % 1.14/1.31 assert (zenon_L291_ : (forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z))))) -> (ndr1_0) -> (~(c0_1 (a24))) -> (~(c1_1 (a24))) -> (forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))) -> (c2_1 (a24)) -> False). % 1.14/1.31 do 0 intro. intros zenon_Hb8 zenon_H1a zenon_H102 zenon_H103 zenon_H31 zenon_H104. % 1.14/1.31 generalize (zenon_Hb8 (a24)). zenon_intro zenon_H24e. % 1.14/1.31 apply (zenon_imply_s _ _ zenon_H24e); [ zenon_intro zenon_H19 | zenon_intro zenon_H24f ]. % 1.14/1.31 exact (zenon_H19 zenon_H1a). % 1.14/1.31 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H108 | zenon_intro zenon_H250 ]. % 1.14/1.31 exact (zenon_H102 zenon_H108). % 1.14/1.31 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H10a | zenon_intro zenon_H249 ]. % 1.14/1.31 exact (zenon_H103 zenon_H10a). % 1.14/1.31 apply (zenon_L290_); trivial. % 1.14/1.31 (* end of lemma zenon_L291_ *) % 1.14/1.31 assert (zenon_L292_ : ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (~(c2_1 (a22))) -> (~(c3_1 (a22))) -> (~(c0_1 (a22))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z))))) -> (ndr1_0) -> (~(c0_1 (a24))) -> (~(c1_1 (a24))) -> (c2_1 (a24)) -> False). % 1.14/1.31 do 0 intro. intros zenon_H95 zenon_H89 zenon_H81 zenon_H80 zenon_H4b zenon_Hb8 zenon_H1a zenon_H102 zenon_H103 zenon_H104. % 1.14/1.31 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H65 | zenon_intro zenon_H96 ]. % 1.14/1.31 apply (zenon_L69_); trivial. % 1.14/1.31 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H7f | zenon_intro zenon_H31 ]. % 1.14/1.31 apply (zenon_L34_); trivial. % 1.14/1.31 apply (zenon_L291_); trivial. % 1.14/1.31 (* end of lemma zenon_L292_ *) % 1.14/1.31 assert (zenon_L293_ : (forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44)))))) -> (ndr1_0) -> (~(c1_1 (a24))) -> (forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))) -> (c2_1 (a24)) -> False). % 1.14/1.31 do 0 intro. intros zenon_Had zenon_H1a zenon_H103 zenon_H31 zenon_H104. % 1.14/1.31 generalize (zenon_Had (a24)). zenon_intro zenon_H251. % 1.14/1.31 apply (zenon_imply_s _ _ zenon_H251); [ zenon_intro zenon_H19 | zenon_intro zenon_H252 ]. % 1.14/1.31 exact (zenon_H19 zenon_H1a). % 1.14/1.31 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H10a | zenon_intro zenon_H253 ]. % 1.14/1.31 exact (zenon_H103 zenon_H10a). % 1.14/1.31 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H249 | zenon_intro zenon_H109 ]. % 1.14/1.31 apply (zenon_L290_); trivial. % 1.14/1.31 exact (zenon_H109 zenon_H104). % 1.14/1.31 (* end of lemma zenon_L293_ *) % 1.14/1.31 assert (zenon_L294_ : ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (c3_1 (a3)) -> (c2_1 (a3)) -> (c1_1 (a3)) -> (forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1)))))) -> (c2_1 (a24)) -> (forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))) -> (~(c1_1 (a24))) -> (ndr1_0) -> False). % 1.14/1.31 do 0 intro. intros zenon_Hd3 zenon_H1f zenon_H1e zenon_H1d zenon_Hd6 zenon_H104 zenon_H31 zenon_H103 zenon_H1a. % 1.14/1.31 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_Had | zenon_intro zenon_Hcd ]. % 1.14/1.31 apply (zenon_L293_); trivial. % 1.14/1.31 apply (zenon_L53_); trivial. % 1.14/1.31 (* end of lemma zenon_L294_ *) % 1.14/1.31 assert (zenon_L295_ : ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (c3_1 (a3)) -> (c2_1 (a3)) -> (c1_1 (a3)) -> (~(hskp1)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> (ndr1_0) -> (~(c0_1 (a24))) -> (~(c1_1 (a24))) -> (c2_1 (a24)) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c0_1 (a22))) -> (~(c3_1 (a22))) -> (~(c2_1 (a22))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> False). % 1.14/1.31 do 0 intro. intros zenon_H177 zenon_Hd3 zenon_H1f zenon_H1e zenon_H1d zenon_Hde zenon_H162 zenon_H1a zenon_H102 zenon_H103 zenon_H104 zenon_H4b zenon_H80 zenon_H81 zenon_H89 zenon_H95. % 1.14/1.31 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hd6 ]. % 1.14/1.31 apply (zenon_L292_); trivial. % 1.14/1.31 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H165 ]. % 1.14/1.31 apply (zenon_L292_); trivial. % 1.14/1.31 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H31 | zenon_intro zenon_Hdf ]. % 1.14/1.31 apply (zenon_L294_); trivial. % 1.14/1.31 exact (zenon_Hde zenon_Hdf). % 1.14/1.31 (* end of lemma zenon_L295_ *) % 1.14/1.31 assert (zenon_L296_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(hskp0))) -> (c2_1 (a31)) -> (c0_1 (a31)) -> (~(c1_1 (a31))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (~(c2_1 (a22))) -> (~(c3_1 (a22))) -> (~(c0_1 (a22))) -> (c2_1 (a24)) -> (~(c1_1 (a24))) -> (~(c0_1 (a24))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> (~(hskp23)) -> (~(hskp0)) -> ((hskp24)\/((hskp23)\/(hskp0))) -> False). % 1.14/1.31 do 0 intro. intros zenon_H48 zenon_H63 zenon_H33 zenon_H3c zenon_H32 zenon_H95 zenon_H89 zenon_H81 zenon_H80 zenon_H104 zenon_H103 zenon_H102 zenon_H162 zenon_Hde zenon_Hd3 zenon_H177 zenon_H13 zenon_H15 zenon_H17. % 1.14/1.31 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H11 | zenon_intro zenon_H41 ]. % 1.14/1.31 apply (zenon_L12_); trivial. % 1.14/1.31 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H1a. zenon_intro zenon_H44. % 1.14/1.31 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H1d. zenon_intro zenon_H45. % 1.14/1.31 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H1e. zenon_intro zenon_H1f. % 1.14/1.31 apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H4b | zenon_intro zenon_H64 ]. % 1.14/1.31 apply (zenon_L295_); trivial. % 1.14/1.31 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H5f | zenon_intro zenon_H16 ]. % 1.14/1.31 apply (zenon_L26_); trivial. % 1.14/1.31 exact (zenon_H15 zenon_H16). % 1.14/1.31 (* end of lemma zenon_L296_ *) % 1.14/1.31 assert (zenon_L297_ : ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> (c2_1 (a24)) -> (~(c1_1 (a24))) -> (~(c0_1 (a24))) -> (~(c0_1 (a22))) -> (~(c3_1 (a22))) -> (~(c2_1 (a22))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (~(hskp11)) -> (ndr1_0) -> (~(c1_1 (a31))) -> (c2_1 (a31)) -> (c0_1 (a31)) -> (~(c0_1 (a53))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c1_1 (a53))) -> (c3_1 (a53)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp1)) -> False). % 1.14/1.31 do 0 intro. intros zenon_H162 zenon_H104 zenon_H103 zenon_H102 zenon_H80 zenon_H81 zenon_H89 zenon_H95 zenon_H91 zenon_H1a zenon_H32 zenon_H33 zenon_H3c zenon_H4a zenon_H4b zenon_H4c zenon_H4d zenon_H93 zenon_Hde. % 1.14/1.31 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H165 ]. % 1.14/1.31 apply (zenon_L292_); trivial. % 1.14/1.31 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H31 | zenon_intro zenon_Hdf ]. % 1.14/1.31 apply (zenon_L37_); trivial. % 1.14/1.31 exact (zenon_Hde zenon_Hdf). % 1.14/1.31 (* end of lemma zenon_L297_ *) % 1.14/1.31 assert (zenon_L298_ : ((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(hskp0))) -> (~(hskp1)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (~(c2_1 (a22))) -> (~(c3_1 (a22))) -> (~(c0_1 (a22))) -> (~(c0_1 (a24))) -> (~(c1_1 (a24))) -> (c2_1 (a24)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> (c2_1 (a31)) -> (c0_1 (a31)) -> (~(c1_1 (a31))) -> (~(hskp0)) -> False). % 1.14/1.31 do 0 intro. intros zenon_Ha1 zenon_H63 zenon_Hde zenon_H93 zenon_H91 zenon_H95 zenon_H89 zenon_H81 zenon_H80 zenon_H102 zenon_H103 zenon_H104 zenon_H162 zenon_H33 zenon_H3c zenon_H32 zenon_H15. % 1.14/1.31 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H1a. zenon_intro zenon_Ha2. % 1.14/1.31 apply (zenon_and_s _ _ zenon_Ha2). zenon_intro zenon_H4d. zenon_intro zenon_Ha3. % 1.14/1.31 apply (zenon_and_s _ _ zenon_Ha3). zenon_intro zenon_H4a. zenon_intro zenon_H4c. % 1.14/1.31 apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H4b | zenon_intro zenon_H64 ]. % 1.14/1.31 apply (zenon_L297_); trivial. % 1.14/1.31 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H5f | zenon_intro zenon_H16 ]. % 1.14/1.31 apply (zenon_L26_); trivial. % 1.14/1.31 exact (zenon_H15 zenon_H16). % 1.14/1.31 (* end of lemma zenon_L298_ *) % 1.14/1.31 assert (zenon_L299_ : ((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31)))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp11)) -> ((hskp24)\/((hskp23)\/(hskp0))) -> (~(hskp0)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(hskp1)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> (~(c0_1 (a24))) -> (~(c1_1 (a24))) -> (c2_1 (a24)) -> (~(c0_1 (a22))) -> (~(c3_1 (a22))) -> (~(c2_1 (a22))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(hskp0))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> False). % 1.14/1.31 do 0 intro. intros zenon_H9e zenon_H9d zenon_H93 zenon_H91 zenon_H17 zenon_H15 zenon_H177 zenon_Hd3 zenon_Hde zenon_H162 zenon_H102 zenon_H103 zenon_H104 zenon_H80 zenon_H81 zenon_H89 zenon_H95 zenon_H63 zenon_H48. % 1.14/1.31 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.14/1.31 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.14/1.31 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.14/1.31 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H13 | zenon_intro zenon_Ha1 ]. % 1.14/1.31 apply (zenon_L296_); trivial. % 1.14/1.31 apply (zenon_L298_); trivial. % 1.14/1.31 (* end of lemma zenon_L299_ *) % 1.14/1.31 assert (zenon_L300_ : ((ndr1_0)/\((c2_1 (a24))/\((~(c0_1 (a24)))/\(~(c1_1 (a24)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp11)) -> ((hskp24)\/((hskp23)\/(hskp0))) -> (~(hskp0)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(hskp1)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> (~(c0_1 (a22))) -> (~(c3_1 (a22))) -> (~(c2_1 (a22))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(hskp0))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> (~(hskp8)) -> (~(hskp4)) -> ((hskp17)\/((hskp8)\/(hskp4))) -> False). % 1.14/1.31 do 0 intro. intros zenon_H10d zenon_H9c zenon_H9d zenon_H93 zenon_H91 zenon_H17 zenon_H15 zenon_H177 zenon_Hd3 zenon_Hde zenon_H162 zenon_H80 zenon_H81 zenon_H89 zenon_H95 zenon_H63 zenon_H48 zenon_Hb zenon_Hd zenon_Hf. % 1.14/1.31 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_H1a. zenon_intro zenon_H10f. % 1.14/1.31 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H104. zenon_intro zenon_H110. % 1.14/1.31 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_H102. zenon_intro zenon_H103. % 1.14/1.31 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.14/1.31 apply (zenon_L8_); trivial. % 1.14/1.31 apply (zenon_L299_); trivial. % 1.14/1.31 (* end of lemma zenon_L300_ *) % 1.14/1.31 assert (zenon_L301_ : ((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> (~(c0_1 (a33))) -> (c2_1 (a33)) -> (c3_1 (a33)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (~(c3_1 (a32))) -> (~(c1_1 (a32))) -> (~(c0_1 (a32))) -> False). % 1.14/1.31 do 0 intro. intros zenon_H1d7 zenon_H177 zenon_H168 zenon_H16a zenon_H171 zenon_H95 zenon_H151 zenon_H150 zenon_H14f. % 1.14/1.31 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H1a. zenon_intro zenon_H1d8. % 1.14/1.31 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1d0. zenon_intro zenon_H1d9. % 1.14/1.31 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1ce. zenon_intro zenon_H1cf. % 1.14/1.31 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hd6 ]. % 1.14/1.31 apply (zenon_L87_); trivial. % 1.14/1.31 apply (zenon_L145_); trivial. % 1.14/1.31 (* end of lemma zenon_L301_ *) % 1.14/1.31 assert (zenon_L302_ : ((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (~(c3_1 (a32))) -> (~(c1_1 (a32))) -> (~(c0_1 (a32))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> (c2_1 (a18)) -> (c0_1 (a18)) -> (~(c3_1 (a18))) -> (~(c1_1 (a19))) -> (~(c3_1 (a19))) -> (c2_1 (a19)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> False). % 1.14/1.31 do 0 intro. intros zenon_H176 zenon_H1da zenon_H177 zenon_H95 zenon_H151 zenon_H150 zenon_H14f zenon_H1c6 zenon_Hc2 zenon_He0 zenon_Hc1 zenon_Hae zenon_Haf zenon_Hb0 zenon_Hd3 zenon_H1c1. % 1.14/1.31 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1a. zenon_intro zenon_H178. % 1.14/1.31 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H16a. zenon_intro zenon_H179. % 1.14/1.31 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H171. zenon_intro zenon_H168. % 1.14/1.31 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.14/1.31 apply (zenon_L279_); trivial. % 1.14/1.31 apply (zenon_L301_); trivial. % 1.14/1.31 (* end of lemma zenon_L302_ *) % 1.14/1.31 assert (zenon_L303_ : ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> (~(c1_1 (a19))) -> (~(c3_1 (a19))) -> (c2_1 (a19)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (~(hskp15)) -> (c0_1 (a18)) -> (c2_1 (a18)) -> (~(c3_1 (a18))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp4)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> (ndr1_0) -> (~(c2_1 (a14))) -> (c0_1 (a14)) -> (c3_1 (a14)) -> (~(hskp17)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> False). % 1.14/1.31 do 0 intro. intros zenon_H17a zenon_H17b zenon_H1da zenon_H177 zenon_H95 zenon_H1c6 zenon_Hae zenon_Haf zenon_Hb0 zenon_Hd3 zenon_H1c1 zenon_H233 zenon_H234 zenon_H235 zenon_H149 zenon_H146 zenon_He0 zenon_Hc2 zenon_Hc1 zenon_H14a zenon_Hd zenon_H42 zenon_H1a zenon_H11f zenon_H120 zenon_H121 zenon_H9 zenon_H12a. % 1.14/1.31 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H128 | zenon_intro zenon_H17c ]. % 1.14/1.31 apply (zenon_L78_); trivial. % 1.14/1.31 apply (zenon_and_s _ _ zenon_H17c). zenon_intro zenon_H1a. zenon_intro zenon_H17d. % 1.14/1.31 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H14f. zenon_intro zenon_H17e. % 1.14/1.31 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_H150. zenon_intro zenon_H151. % 1.14/1.31 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.14/1.31 apply (zenon_L252_); trivial. % 1.14/1.31 apply (zenon_L302_); trivial. % 1.14/1.31 (* end of lemma zenon_L303_ *) % 1.14/1.31 assert (zenon_L304_ : ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> (c2_1 (a19)) -> (~(c3_1 (a19))) -> (~(c1_1 (a19))) -> (ndr1_0) -> (forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16)))))) -> (~(hskp4)) -> False). % 1.14/1.31 do 0 intro. intros zenon_H42 zenon_H235 zenon_H234 zenon_H233 zenon_Hb0 zenon_Haf zenon_Hae zenon_H1a zenon_H1ab zenon_Hd. % 1.14/1.31 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H1b | zenon_intro zenon_H46 ]. % 1.14/1.31 apply (zenon_L242_); trivial. % 1.14/1.31 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_He ]. % 1.14/1.31 apply (zenon_L130_); trivial. % 1.14/1.31 exact (zenon_Hd zenon_He). % 1.14/1.31 (* end of lemma zenon_L304_ *) % 1.14/1.31 assert (zenon_L305_ : ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> (c2_1 (a19)) -> (~(c3_1 (a19))) -> (~(c1_1 (a19))) -> (~(hskp14)) -> (~(hskp2)) -> (~(c2_1 (a16))) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((hskp2)\/(hskp14))) -> (forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10)))))) -> (ndr1_0) -> (c0_1 (a18)) -> (c2_1 (a18)) -> (~(c3_1 (a18))) -> False). % 1.14/1.31 do 0 intro. intros zenon_H1f0 zenon_Hb0 zenon_Haf zenon_Hae zenon_H100 zenon_Hfe zenon_He9 zenon_Hea zenon_Heb zenon_H113 zenon_H3b zenon_H1a zenon_He0 zenon_Hc2 zenon_Hc1. % 1.14/1.31 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H1ab | zenon_intro zenon_H1f1 ]. % 1.14/1.31 apply (zenon_L130_); trivial. % 1.14/1.31 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H1c ]. % 1.14/1.31 apply (zenon_L163_); trivial. % 1.14/1.31 apply (zenon_L150_); trivial. % 1.14/1.31 (* end of lemma zenon_L305_ *) % 1.14/1.31 assert (zenon_L306_ : ((ndr1_0)/\((c0_1 (a11))/\((c1_1 (a11))/\(c3_1 (a11))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> (c2_1 (a9)) -> (c1_1 (a9)) -> (c0_1 (a9)) -> (~(c0_1 (a37))) -> (~(c3_1 (a37))) -> (~(c3_1 (a18))) -> (c2_1 (a18)) -> (c0_1 (a18)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((hskp2)\/(hskp14))) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (~(c2_1 (a16))) -> (~(hskp2)) -> (~(hskp14)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (c2_1 (a19)) -> (~(c3_1 (a19))) -> (~(c1_1 (a19))) -> False). % 1.14/1.31 do 0 intro. intros zenon_H98 zenon_H1ee zenon_H13d zenon_H13c zenon_H13b zenon_H1ce zenon_H1cf zenon_Hc1 zenon_Hc2 zenon_He0 zenon_H113 zenon_Heb zenon_Hea zenon_He9 zenon_Hfe zenon_H100 zenon_H1f0 zenon_Hd3 zenon_Hb0 zenon_Haf zenon_Hae. % 1.14/1.31 apply (zenon_and_s _ _ zenon_H98). zenon_intro zenon_H1a. zenon_intro zenon_H99. % 1.14/1.31 apply (zenon_and_s _ _ zenon_H99). zenon_intro zenon_H9b. zenon_intro zenon_H9a. % 1.14/1.31 apply (zenon_and_s _ _ zenon_H9a). zenon_intro zenon_H6f. zenon_intro zenon_H70. % 1.14/1.31 apply (zenon_or_s _ _ zenon_H1ee); [ zenon_intro zenon_H1e7 | zenon_intro zenon_H1ef ]. % 1.14/1.31 apply (zenon_L181_); trivial. % 1.14/1.31 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H3b | zenon_intro zenon_H6d ]. % 1.14/1.31 apply (zenon_L305_); trivial. % 1.14/1.31 apply (zenon_L171_); trivial. % 1.14/1.31 (* end of lemma zenon_L306_ *) % 1.14/1.31 assert (zenon_L307_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (c3_1 (a33)) -> (c1_1 (a37)) -> (~(c3_1 (a37))) -> (~(c0_1 (a37))) -> (ndr1_0) -> (~(c0_1 (a33))) -> (c2_1 (a33)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp27)\/(hskp26))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> (~(hskp25)) -> (c2_1 (a19)) -> (~(c3_1 (a19))) -> (~(c1_1 (a19))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a11))/\((c1_1 (a11))/\(c3_1 (a11)))))) -> False). % 1.14/1.31 do 0 intro. intros zenon_H1c1 zenon_H95 zenon_H171 zenon_H1d0 zenon_H1cf zenon_H1ce zenon_H1a zenon_H168 zenon_H16a zenon_H1f2 zenon_H1c2 zenon_H12c zenon_Hb0 zenon_Haf zenon_Hae zenon_Hd3 zenon_H1ee zenon_H97. % 1.14/1.31 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1be ]. % 1.14/1.31 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H98 ]. % 1.14/1.31 apply (zenon_L180_); trivial. % 1.14/1.31 apply (zenon_L172_); trivial. % 1.14/1.31 apply (zenon_L134_); trivial. % 1.14/1.31 (* end of lemma zenon_L307_ *) % 1.14/1.31 assert (zenon_L308_ : ((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> (~(c2_1 (a14))) -> (c0_1 (a14)) -> (c3_1 (a14)) -> ((hskp24)\/((hskp23)\/(hskp0))) -> (~(hskp0)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a11))/\((c1_1 (a11))/\(c3_1 (a11)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> (c0_1 (a18)) -> (c2_1 (a18)) -> (~(c3_1 (a18))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((hskp2)\/(hskp14))) -> (~(hskp14)) -> (~(hskp2)) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (~(c2_1 (a16))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp27)\/(hskp26))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> (~(hskp1)) -> (~(c1_1 (a31))) -> (c2_1 (a31)) -> (c0_1 (a31)) -> (~(c3_1 (a19))) -> (~(c1_1 (a19))) -> (c2_1 (a19)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> False). % 1.14/1.31 do 0 intro. intros zenon_H176 zenon_H1da zenon_H9d zenon_H1a9 zenon_H11f zenon_H120 zenon_H121 zenon_H17 zenon_H15 zenon_H42 zenon_Hd zenon_H1c2 zenon_H97 zenon_H1ee zenon_He0 zenon_Hc2 zenon_Hc1 zenon_H113 zenon_H100 zenon_Hfe zenon_Heb zenon_Hea zenon_He9 zenon_H1f0 zenon_H1f2 zenon_H95 zenon_H167 zenon_H48 zenon_H162 zenon_Hde zenon_H32 zenon_H33 zenon_H3c zenon_Haf zenon_Hae zenon_Hb0 zenon_H1c6 zenon_Hd3 zenon_H1c1. % 1.14/1.31 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1a. zenon_intro zenon_H178. % 1.14/1.31 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H16a. zenon_intro zenon_H179. % 1.14/1.31 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H171. zenon_intro zenon_H168. % 1.14/1.31 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.14/1.31 apply (zenon_L142_); trivial. % 1.14/1.31 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H1a. zenon_intro zenon_H1d8. % 1.14/1.31 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1d0. zenon_intro zenon_H1d9. % 1.14/1.31 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1ce. zenon_intro zenon_H1cf. % 1.14/1.31 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H13 | zenon_intro zenon_Ha1 ]. % 1.14/1.31 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H11 | zenon_intro zenon_H41 ]. % 1.14/1.31 apply (zenon_L12_); trivial. % 1.14/1.31 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H1a. zenon_intro zenon_H44. % 1.14/1.31 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H1d. zenon_intro zenon_H45. % 1.14/1.31 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H1e. zenon_intro zenon_H1f. % 1.14/1.31 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H12c | zenon_intro zenon_H148 ]. % 1.14/1.31 apply (zenon_L135_); trivial. % 1.14/1.31 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H1a. zenon_intro zenon_H14b. % 1.14/1.31 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H13b. zenon_intro zenon_H14c. % 1.14/1.31 apply (zenon_and_s _ _ zenon_H14c). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 1.14/1.31 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1be ]. % 1.14/1.31 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H98 ]. % 1.14/1.31 apply (zenon_L180_); trivial. % 1.14/1.31 apply (zenon_L306_); trivial. % 1.14/1.31 apply (zenon_L134_); trivial. % 1.14/1.31 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H1a. zenon_intro zenon_Ha2. % 1.14/1.31 apply (zenon_and_s _ _ zenon_Ha2). zenon_intro zenon_H4d. zenon_intro zenon_Ha3. % 1.14/1.31 apply (zenon_and_s _ _ zenon_Ha3). zenon_intro zenon_H4a. zenon_intro zenon_H4c. % 1.14/1.31 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H12c | zenon_intro zenon_H148 ]. % 1.14/1.31 apply (zenon_L307_); trivial. % 1.14/1.31 apply (zenon_L216_); trivial. % 1.14/1.31 (* end of lemma zenon_L308_ *) % 1.14/1.31 assert (zenon_L309_ : ((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a11))/\((c1_1 (a11))/\(c3_1 (a11)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp27)\/(hskp26))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> (~(c2_1 (a16))) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> (~(hskp2)) -> (~(hskp14)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((hskp2)\/(hskp14))) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (c2_1 (a19)) -> (~(c3_1 (a19))) -> (~(c1_1 (a19))) -> (~(hskp4)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> (~(hskp0)) -> ((hskp24)\/((hskp23)\/(hskp0))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(c3_1 (a18))) -> (c2_1 (a18)) -> (c0_1 (a18)) -> (c3_1 (a14)) -> (c0_1 (a14)) -> (~(c2_1 (a14))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53))))))) -> False). % 1.14/1.31 do 0 intro. intros zenon_H9e zenon_H17b zenon_H1da zenon_H97 zenon_H1ee zenon_H1f2 zenon_H95 zenon_H162 zenon_Hde zenon_H1c6 zenon_H48 zenon_H167 zenon_H1f0 zenon_He9 zenon_Hea zenon_Heb zenon_Hfe zenon_H100 zenon_H113 zenon_H233 zenon_H234 zenon_H235 zenon_H1c2 zenon_Hd3 zenon_Hb0 zenon_Haf zenon_Hae zenon_Hd zenon_H42 zenon_H1c1 zenon_H15 zenon_H17 zenon_H14a zenon_Hc1 zenon_Hc2 zenon_He0 zenon_H121 zenon_H120 zenon_H11f zenon_H1a9 zenon_H9d. % 1.14/1.31 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.14/1.31 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.14/1.31 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.14/1.31 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.14/1.31 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H13 | zenon_intro zenon_Ha1 ]. % 1.14/1.31 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H11 | zenon_intro zenon_H41 ]. % 1.14/1.31 apply (zenon_L12_); trivial. % 1.14/1.31 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H1a. zenon_intro zenon_H44. % 1.14/1.31 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H1d. zenon_intro zenon_H45. % 1.14/1.31 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H1e. zenon_intro zenon_H1f. % 1.14/1.31 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H12c | zenon_intro zenon_H148 ]. % 1.14/1.31 apply (zenon_L135_); trivial. % 1.14/1.31 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H1a. zenon_intro zenon_H14b. % 1.14/1.31 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H13b. zenon_intro zenon_H14c. % 1.14/1.32 apply (zenon_and_s _ _ zenon_H14c). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 1.14/1.32 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H1ab | zenon_intro zenon_H1f1 ]. % 1.14/1.32 apply (zenon_L304_); trivial. % 1.14/1.32 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H1c ]. % 1.14/1.32 apply (zenon_L163_); trivial. % 1.14/1.32 apply (zenon_L83_); trivial. % 1.14/1.32 apply (zenon_L275_); trivial. % 1.14/1.32 apply (zenon_L308_); trivial. % 1.14/1.32 (* end of lemma zenon_L309_ *) % 1.14/1.32 assert (zenon_L310_ : ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (c1_1 (a37)) -> (~(c3_1 (a37))) -> (~(c0_1 (a37))) -> (forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z))))) -> (ndr1_0) -> (~(c0_1 (a24))) -> (~(c1_1 (a24))) -> (c2_1 (a24)) -> False). % 1.14/1.32 do 0 intro. intros zenon_H95 zenon_H1d0 zenon_H1cf zenon_H1ce zenon_Hb8 zenon_H1a zenon_H102 zenon_H103 zenon_H104. % 1.14/1.32 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H65 | zenon_intro zenon_H96 ]. % 1.14/1.32 apply (zenon_L69_); trivial. % 1.14/1.32 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H7f | zenon_intro zenon_H31 ]. % 1.14/1.32 apply (zenon_L144_); trivial. % 1.14/1.32 apply (zenon_L291_); trivial. % 1.14/1.32 (* end of lemma zenon_L310_ *) % 1.14/1.32 assert (zenon_L311_ : ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (c2_1 (a24)) -> (~(c1_1 (a24))) -> (~(c0_1 (a24))) -> (c1_1 (a37)) -> (~(c3_1 (a37))) -> (~(c0_1 (a37))) -> (ndr1_0) -> (forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1)))))) -> (~(c0_1 (a33))) -> (c2_1 (a33)) -> (c3_1 (a33)) -> False). % 1.14/1.32 do 0 intro. intros zenon_H95 zenon_H104 zenon_H103 zenon_H102 zenon_H1d0 zenon_H1cf zenon_H1ce zenon_H1a zenon_Hd6 zenon_H168 zenon_H16a zenon_H171. % 1.14/1.32 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H65 | zenon_intro zenon_H96 ]. % 1.14/1.32 apply (zenon_L69_); trivial. % 1.14/1.32 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H7f | zenon_intro zenon_H31 ]. % 1.14/1.32 apply (zenon_L144_); trivial. % 1.14/1.32 apply (zenon_L92_); trivial. % 1.14/1.32 (* end of lemma zenon_L311_ *) % 1.14/1.32 assert (zenon_L312_ : ((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> (~(c0_1 (a33))) -> (c2_1 (a33)) -> (c3_1 (a33)) -> (~(c0_1 (a24))) -> (~(c1_1 (a24))) -> (c2_1 (a24)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> False). % 1.14/1.32 do 0 intro. intros zenon_H1d7 zenon_H177 zenon_H168 zenon_H16a zenon_H171 zenon_H102 zenon_H103 zenon_H104 zenon_H95. % 1.14/1.32 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H1a. zenon_intro zenon_H1d8. % 1.14/1.32 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1d0. zenon_intro zenon_H1d9. % 1.14/1.32 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1ce. zenon_intro zenon_H1cf. % 1.14/1.32 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hd6 ]. % 1.14/1.32 apply (zenon_L310_); trivial. % 1.14/1.32 apply (zenon_L311_); trivial. % 1.14/1.32 (* end of lemma zenon_L312_ *) % 1.14/1.32 assert (zenon_L313_ : ((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> (~(c0_1 (a24))) -> (~(c1_1 (a24))) -> (c2_1 (a24)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> (c2_1 (a18)) -> (c0_1 (a18)) -> (~(c3_1 (a18))) -> (~(c1_1 (a19))) -> (~(c3_1 (a19))) -> (c2_1 (a19)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> False). % 1.14/1.32 do 0 intro. intros zenon_H176 zenon_H1da zenon_H177 zenon_H102 zenon_H103 zenon_H104 zenon_H95 zenon_H1c6 zenon_Hc2 zenon_He0 zenon_Hc1 zenon_Hae zenon_Haf zenon_Hb0 zenon_Hd3 zenon_H1c1. % 1.14/1.32 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1a. zenon_intro zenon_H178. % 1.14/1.32 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H16a. zenon_intro zenon_H179. % 1.14/1.32 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H171. zenon_intro zenon_H168. % 1.14/1.32 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.14/1.32 apply (zenon_L279_); trivial. % 1.14/1.32 apply (zenon_L312_); trivial. % 1.14/1.32 (* end of lemma zenon_L313_ *) % 1.14/1.32 assert (zenon_L314_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> (~(c0_1 (a24))) -> (~(c1_1 (a24))) -> (c2_1 (a24)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> (~(c1_1 (a19))) -> (~(c3_1 (a19))) -> (c2_1 (a19)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> (ndr1_0) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (~(hskp15)) -> (c0_1 (a14)) -> (~(c2_1 (a14))) -> (c3_1 (a14)) -> (c0_1 (a18)) -> (c2_1 (a18)) -> (~(c3_1 (a18))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp4)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> False). % 1.14/1.32 do 0 intro. intros zenon_H17b zenon_H1da zenon_H177 zenon_H102 zenon_H103 zenon_H104 zenon_H95 zenon_H1c6 zenon_Hae zenon_Haf zenon_Hb0 zenon_Hd3 zenon_H1c1 zenon_H1a zenon_H233 zenon_H234 zenon_H235 zenon_H149 zenon_H146 zenon_H120 zenon_H11f zenon_H121 zenon_He0 zenon_Hc2 zenon_Hc1 zenon_H14a zenon_Hd zenon_H42. % 1.14/1.32 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.14/1.32 apply (zenon_L252_); trivial. % 1.14/1.32 apply (zenon_L313_); trivial. % 1.14/1.32 (* end of lemma zenon_L314_ *) % 1.14/1.32 assert (zenon_L315_ : ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> (c0_1 (a31)) -> (c2_1 (a31)) -> (forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))) -> (~(c1_1 (a31))) -> (ndr1_0) -> (~(hskp4)) -> False). % 1.14/1.32 do 0 intro. intros zenon_H42 zenon_H235 zenon_H234 zenon_H233 zenon_H3c zenon_H33 zenon_H31 zenon_H32 zenon_H1a zenon_Hd. % 1.14/1.32 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H1b | zenon_intro zenon_H46 ]. % 1.14/1.32 apply (zenon_L242_); trivial. % 1.14/1.32 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_He ]. % 1.14/1.32 apply (zenon_L19_); trivial. % 1.14/1.32 exact (zenon_Hd zenon_He). % 1.14/1.32 (* end of lemma zenon_L315_ *) % 1.14/1.32 assert (zenon_L316_ : ((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> (c2_1 (a24)) -> (~(c1_1 (a24))) -> (~(c0_1 (a24))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (~(hskp4)) -> (~(c1_1 (a31))) -> (c2_1 (a31)) -> (c0_1 (a31)) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> (~(hskp1)) -> False). % 1.14/1.32 do 0 intro. intros zenon_H1d7 zenon_H162 zenon_H104 zenon_H103 zenon_H102 zenon_H95 zenon_Hd zenon_H32 zenon_H33 zenon_H3c zenon_H233 zenon_H234 zenon_H235 zenon_H42 zenon_Hde. % 1.14/1.32 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H1a. zenon_intro zenon_H1d8. % 1.14/1.32 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1d0. zenon_intro zenon_H1d9. % 1.14/1.32 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1ce. zenon_intro zenon_H1cf. % 1.14/1.32 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H165 ]. % 1.14/1.32 apply (zenon_L310_); trivial. % 1.14/1.32 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H31 | zenon_intro zenon_Hdf ]. % 1.14/1.32 apply (zenon_L315_); trivial. % 1.14/1.32 exact (zenon_Hde zenon_Hdf). % 1.14/1.32 (* end of lemma zenon_L316_ *) % 1.14/1.32 assert (zenon_L317_ : ((ndr1_0)/\((c2_1 (a24))/\((~(c0_1 (a24)))/\(~(c1_1 (a24)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(~(c3_1 (a25))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp24))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(c3_1 (a18))) -> (c2_1 (a18)) -> (c0_1 (a18)) -> (c3_1 (a14)) -> (~(c2_1 (a14))) -> (c0_1 (a14)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (c2_1 (a19)) -> (~(c3_1 (a19))) -> (~(c1_1 (a19))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> False). % 1.14/1.32 do 0 intro. intros zenon_H10d zenon_H1a2 zenon_H9c zenon_H162 zenon_Hde zenon_H12a zenon_H1f8 zenon_H48 zenon_H17a zenon_H42 zenon_Hd zenon_H14a zenon_Hc1 zenon_Hc2 zenon_He0 zenon_H121 zenon_H11f zenon_H120 zenon_H149 zenon_H235 zenon_H234 zenon_H233 zenon_H1c1 zenon_Hd3 zenon_Hb0 zenon_Haf zenon_Hae zenon_H1c6 zenon_H95 zenon_H177 zenon_H1da zenon_H17b. % 1.14/1.32 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_H1a. zenon_intro zenon_H10f. % 1.14/1.32 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H104. zenon_intro zenon_H110. % 1.14/1.32 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_H102. zenon_intro zenon_H103. % 1.14/1.32 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H146 | zenon_intro zenon_H19f ]. % 1.14/1.32 apply (zenon_L314_); trivial. % 1.14/1.32 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H1a. zenon_intro zenon_H1a0. % 1.14/1.32 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H18f. zenon_intro zenon_H1a1. % 1.14/1.32 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H19a. zenon_intro zenon_H18e. % 1.14/1.32 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.14/1.32 apply (zenon_L191_); trivial. % 1.14/1.32 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.14/1.32 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.14/1.32 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.14/1.32 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.14/1.32 apply (zenon_L142_); trivial. % 1.14/1.32 apply (zenon_L316_); trivial. % 1.14/1.32 (* end of lemma zenon_L317_ *) % 1.14/1.32 assert (zenon_L318_ : (forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))) -> (ndr1_0) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> False). % 1.14/1.32 do 0 intro. intros zenon_H6d zenon_H1a zenon_H254 zenon_H255 zenon_H256. % 1.14/1.32 generalize (zenon_H6d (a6)). zenon_intro zenon_H257. % 1.14/1.32 apply (zenon_imply_s _ _ zenon_H257); [ zenon_intro zenon_H19 | zenon_intro zenon_H258 ]. % 1.14/1.32 exact (zenon_H19 zenon_H1a). % 1.14/1.32 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H25a | zenon_intro zenon_H259 ]. % 1.14/1.32 exact (zenon_H254 zenon_H25a). % 1.14/1.32 apply (zenon_or_s _ _ zenon_H259); [ zenon_intro zenon_H25c | zenon_intro zenon_H25b ]. % 1.14/1.32 exact (zenon_H25c zenon_H255). % 1.14/1.32 exact (zenon_H25b zenon_H256). % 1.14/1.32 (* end of lemma zenon_L318_ *) % 1.14/1.32 assert (zenon_L319_ : ((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (~(c2_1 (a6))) -> (~(hskp19)) -> False). % 1.14/1.32 do 0 intro. intros zenon_H148 zenon_H14a zenon_H256 zenon_H255 zenon_H254 zenon_H144. % 1.14/1.32 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H1a. zenon_intro zenon_H14b. % 1.14/1.32 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H13b. zenon_intro zenon_H14c. % 1.14/1.32 apply (zenon_and_s _ _ zenon_H14c). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 1.14/1.32 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_H6d | zenon_intro zenon_H14e ]. % 1.14/1.32 apply (zenon_L318_); trivial. % 1.14/1.32 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H1c | zenon_intro zenon_H145 ]. % 1.14/1.32 apply (zenon_L83_); trivial. % 1.14/1.32 exact (zenon_H144 zenon_H145). % 1.14/1.32 (* end of lemma zenon_L319_ *) % 1.14/1.32 assert (zenon_L320_ : ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp19)) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (~(c2_1 (a6))) -> (~(hskp17)) -> (~(hskp21)) -> ((hskp25)\/((hskp17)\/(hskp21))) -> False). % 1.14/1.32 do 0 intro. intros zenon_H167 zenon_H14a zenon_H144 zenon_H256 zenon_H255 zenon_H254 zenon_H9 zenon_H12e zenon_H130. % 1.14/1.32 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H12c | zenon_intro zenon_H148 ]. % 1.14/1.32 apply (zenon_L81_); trivial. % 1.14/1.32 apply (zenon_L319_); trivial. % 1.14/1.32 (* end of lemma zenon_L320_ *) % 1.14/1.32 assert (zenon_L321_ : (forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43)))))) -> (ndr1_0) -> (~(c2_1 (a6))) -> (forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32)))))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> False). % 1.14/1.32 do 0 intro. intros zenon_H11e zenon_H1a zenon_H254 zenon_H1b zenon_H255 zenon_H256. % 1.14/1.32 generalize (zenon_H11e (a6)). zenon_intro zenon_H25d. % 1.14/1.32 apply (zenon_imply_s _ _ zenon_H25d); [ zenon_intro zenon_H19 | zenon_intro zenon_H25e ]. % 1.14/1.32 exact (zenon_H19 zenon_H1a). % 1.14/1.32 apply (zenon_or_s _ _ zenon_H25e); [ zenon_intro zenon_H25a | zenon_intro zenon_H25f ]. % 1.14/1.32 exact (zenon_H254 zenon_H25a). % 1.14/1.32 apply (zenon_or_s _ _ zenon_H25f); [ zenon_intro zenon_H260 | zenon_intro zenon_H25b ]. % 1.14/1.32 generalize (zenon_H1b (a6)). zenon_intro zenon_H261. % 1.14/1.32 apply (zenon_imply_s _ _ zenon_H261); [ zenon_intro zenon_H19 | zenon_intro zenon_H262 ]. % 1.14/1.32 exact (zenon_H19 zenon_H1a). % 1.14/1.32 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H263 | zenon_intro zenon_H259 ]. % 1.14/1.32 exact (zenon_H260 zenon_H263). % 1.14/1.32 apply (zenon_or_s _ _ zenon_H259); [ zenon_intro zenon_H25c | zenon_intro zenon_H25b ]. % 1.14/1.32 exact (zenon_H25c zenon_H255). % 1.14/1.32 exact (zenon_H25b zenon_H256). % 1.14/1.32 exact (zenon_H25b zenon_H256). % 1.14/1.32 (* end of lemma zenon_L321_ *) % 1.14/1.32 assert (zenon_L322_ : ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32)))))) -> (~(c2_1 (a6))) -> (ndr1_0) -> (~(hskp17)) -> (~(hskp18)) -> False). % 1.14/1.32 do 0 intro. intros zenon_H12a zenon_H256 zenon_H255 zenon_H1b zenon_H254 zenon_H1a zenon_H9 zenon_H128. % 1.14/1.32 apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_H11e | zenon_intro zenon_H12b ]. % 1.14/1.32 apply (zenon_L321_); trivial. % 1.14/1.32 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_Ha | zenon_intro zenon_H129 ]. % 1.14/1.32 exact (zenon_H9 zenon_Ha). % 1.14/1.32 exact (zenon_H128 zenon_H129). % 1.14/1.32 (* end of lemma zenon_L322_ *) % 1.14/1.32 assert (zenon_L323_ : ((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp18)) -> (~(hskp17)) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> (~(hskp10)) -> False). % 1.14/1.32 do 0 intro. intros zenon_H161 zenon_H43 zenon_H128 zenon_H9 zenon_H254 zenon_H255 zenon_H256 zenon_H12a zenon_H2d. % 1.14/1.32 apply (zenon_and_s _ _ zenon_H161). zenon_intro zenon_H1a. zenon_intro zenon_H163. % 1.14/1.32 apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H159. zenon_intro zenon_H164. % 1.14/1.32 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H15a. zenon_intro zenon_H158. % 1.14/1.32 apply (zenon_or_s _ _ zenon_H43); [ zenon_intro zenon_H1b | zenon_intro zenon_H47 ]. % 1.14/1.32 apply (zenon_L322_); trivial. % 1.14/1.32 apply (zenon_or_s _ _ zenon_H47); [ zenon_intro zenon_H31 | zenon_intro zenon_H2e ]. % 1.14/1.32 apply (zenon_L88_); trivial. % 1.14/1.32 exact (zenon_H2d zenon_H2e). % 1.14/1.32 (* end of lemma zenon_L323_ *) % 1.14/1.32 assert (zenon_L324_ : ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp10)) -> (~(hskp18)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> ((hskp25)\/((hskp17)\/(hskp21))) -> (~(hskp17)) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> (~(hskp19)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> False). % 1.14/1.32 do 0 intro. intros zenon_H166 zenon_H43 zenon_H2d zenon_H128 zenon_H12a zenon_H130 zenon_H9 zenon_H254 zenon_H255 zenon_H256 zenon_H144 zenon_H14a zenon_H167. % 1.14/1.32 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H12e | zenon_intro zenon_H161 ]. % 1.14/1.32 apply (zenon_L320_); trivial. % 1.14/1.32 apply (zenon_L323_); trivial. % 1.14/1.32 (* end of lemma zenon_L324_ *) % 1.14/1.32 assert (zenon_L325_ : ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp18)) -> (~(hskp17)) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> (c3_1 (a33)) -> (c2_1 (a33)) -> (~(c0_1 (a33))) -> (forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1)))))) -> (ndr1_0) -> (~(hskp10)) -> False). % 1.14/1.32 do 0 intro. intros zenon_H43 zenon_H128 zenon_H9 zenon_H254 zenon_H255 zenon_H256 zenon_H12a zenon_H171 zenon_H16a zenon_H168 zenon_Hd6 zenon_H1a zenon_H2d. % 1.14/1.32 apply (zenon_or_s _ _ zenon_H43); [ zenon_intro zenon_H1b | zenon_intro zenon_H47 ]. % 1.14/1.32 apply (zenon_L322_); trivial. % 1.14/1.32 apply (zenon_or_s _ _ zenon_H47); [ zenon_intro zenon_H31 | zenon_intro zenon_H2e ]. % 1.14/1.32 apply (zenon_L92_); trivial. % 1.14/1.32 exact (zenon_H2d zenon_H2e). % 1.14/1.32 (* end of lemma zenon_L325_ *) % 1.14/1.32 assert (zenon_L326_ : ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> (~(hskp1)) -> (~(c3_1 (a32))) -> (~(c1_1 (a32))) -> (~(c0_1 (a32))) -> ((hskp25)\/((hskp17)\/(hskp21))) -> (~(hskp17)) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> (~(hskp19)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> False). % 1.14/1.32 do 0 intro. intros zenon_H166 zenon_H162 zenon_Hde zenon_H151 zenon_H150 zenon_H14f zenon_H130 zenon_H9 zenon_H254 zenon_H255 zenon_H256 zenon_H144 zenon_H14a zenon_H167. % 1.14/1.32 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H12e | zenon_intro zenon_H161 ]. % 1.14/1.32 apply (zenon_L320_); trivial. % 1.14/1.32 apply (zenon_L89_); trivial. % 1.14/1.32 (* end of lemma zenon_L326_ *) % 1.14/1.32 assert (zenon_L327_ : ((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (~(c2_1 (a6))) -> (~(hskp17)) -> ((hskp25)\/((hskp17)\/(hskp21))) -> (~(hskp1)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> False). % 1.14/1.32 do 0 intro. intros zenon_H17c zenon_H17b zenon_H177 zenon_H167 zenon_H14a zenon_H256 zenon_H255 zenon_H254 zenon_H9 zenon_H130 zenon_Hde zenon_H162 zenon_H166. % 1.14/1.32 apply (zenon_and_s _ _ zenon_H17c). zenon_intro zenon_H1a. zenon_intro zenon_H17d. % 1.14/1.32 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H14f. zenon_intro zenon_H17e. % 1.14/1.32 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_H150. zenon_intro zenon_H151. % 1.14/1.32 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.14/1.32 apply (zenon_L326_); trivial. % 1.14/1.32 apply (zenon_L93_); trivial. % 1.14/1.32 (* end of lemma zenon_L327_ *) % 1.14/1.32 assert (zenon_L328_ : ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> (~(hskp1)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> ((hskp25)\/((hskp17)\/(hskp21))) -> (~(hskp17)) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> (~(hskp8)) -> (~(hskp9)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp8)\/(hskp9))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> False). % 1.14/1.32 do 0 intro. intros zenon_H17a zenon_H177 zenon_Hde zenon_H162 zenon_H166 zenon_H43 zenon_H2d zenon_H12a zenon_H130 zenon_H9 zenon_H254 zenon_H255 zenon_H256 zenon_H14a zenon_H167 zenon_Hb zenon_H3 zenon_H1a3 zenon_H17b. % 1.14/1.32 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H128 | zenon_intro zenon_H17c ]. % 1.14/1.32 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.14/1.32 apply (zenon_L324_); trivial. % 1.14/1.32 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1a. zenon_intro zenon_H178. % 1.14/1.32 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H16a. zenon_intro zenon_H179. % 1.14/1.32 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H171. zenon_intro zenon_H168. % 1.14/1.32 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H1a4 ]. % 1.14/1.32 apply (zenon_L325_); trivial. % 1.14/1.32 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_Hc | zenon_intro zenon_H4 ]. % 1.14/1.32 exact (zenon_Hb zenon_Hc). % 1.14/1.32 exact (zenon_H3 zenon_H4). % 1.14/1.32 apply (zenon_L327_); trivial. % 1.14/1.32 (* end of lemma zenon_L328_ *) % 1.14/1.32 assert (zenon_L329_ : ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((hskp9)\/(hskp24))) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (~(c2_1 (a6))) -> (ndr1_0) -> (~(hskp9)) -> (~(hskp24)) -> False). % 1.14/1.32 do 0 intro. intros zenon_H7b zenon_H256 zenon_H255 zenon_H254 zenon_H1a zenon_H3 zenon_H11. % 1.14/1.32 apply (zenon_or_s _ _ zenon_H7b); [ zenon_intro zenon_H6d | zenon_intro zenon_H7c ]. % 1.14/1.32 apply (zenon_L318_); trivial. % 1.14/1.32 apply (zenon_or_s _ _ zenon_H7c); [ zenon_intro zenon_H4 | zenon_intro zenon_H12 ]. % 1.14/1.32 exact (zenon_H3 zenon_H4). % 1.14/1.32 exact (zenon_H11 zenon_H12). % 1.14/1.32 (* end of lemma zenon_L329_ *) % 1.14/1.32 assert (zenon_L330_ : ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (~(c2_1 (a6))) -> (c3_1 (a3)) -> (c2_1 (a3)) -> (c1_1 (a3)) -> (ndr1_0) -> (forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32)))))) -> (~(hskp19)) -> False). % 1.14/1.32 do 0 intro. intros zenon_H14a zenon_H256 zenon_H255 zenon_H254 zenon_H1f zenon_H1e zenon_H1d zenon_H1a zenon_H1b zenon_H144. % 1.14/1.32 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_H6d | zenon_intro zenon_H14e ]. % 1.14/1.32 apply (zenon_L318_); trivial. % 1.14/1.32 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H1c | zenon_intro zenon_H145 ]. % 1.14/1.32 apply (zenon_L14_); trivial. % 1.14/1.32 exact (zenon_H144 zenon_H145). % 1.14/1.32 (* end of lemma zenon_L330_ *) % 1.14/1.32 assert (zenon_L331_ : ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp19)) -> (c1_1 (a3)) -> (c2_1 (a3)) -> (c3_1 (a3)) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c0_1 (a31)) -> (c2_1 (a31)) -> (~(c1_1 (a31))) -> (ndr1_0) -> (forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10)))))) -> (~(hskp10)) -> False). % 1.14/1.32 do 0 intro. intros zenon_H43 zenon_H144 zenon_H1d zenon_H1e zenon_H1f zenon_H254 zenon_H255 zenon_H256 zenon_H14a zenon_H3c zenon_H33 zenon_H32 zenon_H1a zenon_H3b zenon_H2d. % 1.14/1.32 apply (zenon_or_s _ _ zenon_H43); [ zenon_intro zenon_H1b | zenon_intro zenon_H47 ]. % 1.14/1.32 apply (zenon_L330_); trivial. % 1.14/1.32 apply (zenon_or_s _ _ zenon_H47); [ zenon_intro zenon_H31 | zenon_intro zenon_H2e ]. % 1.14/1.32 apply (zenon_L19_); trivial. % 1.14/1.32 exact (zenon_H2d zenon_H2e). % 1.14/1.32 (* end of lemma zenon_L331_ *) % 1.14/1.32 assert (zenon_L332_ : ((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> (~(c3_1 (a22))) -> (~(c2_1 (a22))) -> (~(c0_1 (a22))) -> (~(hskp10)) -> (~(c1_1 (a31))) -> (c2_1 (a31)) -> (c0_1 (a31)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp19)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> False). % 1.14/1.32 do 0 intro. intros zenon_H41 zenon_H1ee zenon_H81 zenon_H89 zenon_H80 zenon_H2d zenon_H32 zenon_H33 zenon_H3c zenon_H14a zenon_H144 zenon_H43 zenon_H254 zenon_H255 zenon_H256. % 1.14/1.32 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H1a. zenon_intro zenon_H44. % 1.14/1.32 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H1d. zenon_intro zenon_H45. % 1.14/1.32 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H1e. zenon_intro zenon_H1f. % 1.14/1.32 apply (zenon_or_s _ _ zenon_H1ee); [ zenon_intro zenon_H1e7 | zenon_intro zenon_H1ef ]. % 1.14/1.32 apply (zenon_L221_); trivial. % 1.14/1.32 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H3b | zenon_intro zenon_H6d ]. % 1.14/1.32 apply (zenon_L331_); trivial. % 1.14/1.32 apply (zenon_L318_); trivial. % 1.14/1.32 (* end of lemma zenon_L332_ *) % 1.14/1.32 assert (zenon_L333_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp19)) -> (~(c1_1 (a31))) -> (c2_1 (a31)) -> (c0_1 (a31)) -> (~(hskp10)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(c3_1 (a22))) -> (~(c2_1 (a22))) -> (~(c0_1 (a22))) -> (ndr1_0) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> (~(hskp9)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((hskp9)\/(hskp24))) -> False). % 1.14/1.32 do 0 intro. intros zenon_H48 zenon_H1ee zenon_H14a zenon_H144 zenon_H32 zenon_H33 zenon_H3c zenon_H2d zenon_H43 zenon_H81 zenon_H89 zenon_H80 zenon_H1a zenon_H254 zenon_H255 zenon_H256 zenon_H3 zenon_H7b. % 1.14/1.32 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H11 | zenon_intro zenon_H41 ]. % 1.14/1.32 apply (zenon_L329_); trivial. % 1.14/1.32 apply (zenon_L332_); trivial. % 1.14/1.32 (* end of lemma zenon_L333_ *) % 1.14/1.32 assert (zenon_L334_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> (~(c3_1 (a22))) -> (~(c2_1 (a22))) -> (~(c0_1 (a22))) -> (~(hskp10)) -> (~(c1_1 (a31))) -> (c2_1 (a31)) -> (c0_1 (a31)) -> (~(c0_1 (a33))) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6)))))) -> (c2_1 (a33)) -> (c3_1 (a33)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (ndr1_0) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> False). % 1.14/1.32 do 0 intro. intros zenon_H1ee zenon_H81 zenon_H89 zenon_H80 zenon_H2d zenon_H32 zenon_H33 zenon_H3c zenon_H168 zenon_H65 zenon_H16a zenon_H171 zenon_H43 zenon_H1a zenon_H254 zenon_H255 zenon_H256. % 1.14/1.32 apply (zenon_or_s _ _ zenon_H1ee); [ zenon_intro zenon_H1e7 | zenon_intro zenon_H1ef ]. % 1.14/1.32 apply (zenon_L221_); trivial. % 1.14/1.32 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H3b | zenon_intro zenon_H6d ]. % 1.14/1.32 apply (zenon_L161_); trivial. % 1.14/1.32 apply (zenon_L318_); trivial. % 1.14/1.32 (* end of lemma zenon_L334_ *) % 1.14/1.32 assert (zenon_L335_ : ((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(hskp0))) -> (~(hskp11)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(c0_1 (a22))) -> (~(c3_1 (a22))) -> (~(c2_1 (a22))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> (~(hskp10)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (c2_1 (a31)) -> (c0_1 (a31)) -> (~(c1_1 (a31))) -> (~(hskp0)) -> False). % 1.14/1.32 do 0 intro. intros zenon_H176 zenon_H63 zenon_H91 zenon_H93 zenon_H80 zenon_H81 zenon_H89 zenon_H1ee zenon_H2d zenon_H43 zenon_H254 zenon_H255 zenon_H256 zenon_H95 zenon_H33 zenon_H3c zenon_H32 zenon_H15. % 1.14/1.32 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1a. zenon_intro zenon_H178. % 1.14/1.32 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H16a. zenon_intro zenon_H179. % 1.14/1.32 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H171. zenon_intro zenon_H168. % 1.14/1.32 apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H4b | zenon_intro zenon_H64 ]. % 1.14/1.32 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H65 | zenon_intro zenon_H96 ]. % 1.14/1.32 apply (zenon_L334_); trivial. % 1.14/1.32 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H7f | zenon_intro zenon_H31 ]. % 1.14/1.32 apply (zenon_L34_); trivial. % 1.14/1.32 apply (zenon_L106_); trivial. % 1.14/1.32 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H5f | zenon_intro zenon_H16 ]. % 1.14/1.32 apply (zenon_L26_); trivial. % 1.14/1.32 exact (zenon_H15 zenon_H16). % 1.14/1.32 (* end of lemma zenon_L335_ *) % 1.14/1.32 assert (zenon_L336_ : ((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((hskp9)\/(hskp24))) -> (~(hskp9)) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (~(c2_1 (a6))) -> (~(c0_1 (a22))) -> (~(c2_1 (a22))) -> (~(c3_1 (a22))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> False). % 1.14/1.32 do 0 intro. intros zenon_H9e zenon_H17b zenon_H63 zenon_H15 zenon_H93 zenon_H91 zenon_H95 zenon_H7b zenon_H3 zenon_H256 zenon_H255 zenon_H254 zenon_H80 zenon_H89 zenon_H81 zenon_H43 zenon_H2d zenon_H14a zenon_H1ee zenon_H48. % 1.14/1.32 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.14/1.32 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.14/1.32 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.14/1.32 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.14/1.32 apply (zenon_L333_); trivial. % 1.14/1.32 apply (zenon_L335_); trivial. % 1.14/1.32 (* end of lemma zenon_L336_ *) % 1.14/1.32 assert (zenon_L337_ : ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (~(c2_1 (a6))) -> (~(c3_1 (a18))) -> (c2_1 (a18)) -> (c0_1 (a18)) -> (ndr1_0) -> (forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44)))))) -> (~(hskp19)) -> False). % 1.14/1.32 do 0 intro. intros zenon_H14a zenon_H256 zenon_H255 zenon_H254 zenon_Hc1 zenon_Hc2 zenon_He0 zenon_H1a zenon_Had zenon_H144. % 1.14/1.32 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_H6d | zenon_intro zenon_H14e ]. % 1.14/1.32 apply (zenon_L318_); trivial. % 1.14/1.32 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H1c | zenon_intro zenon_H145 ]. % 1.14/1.32 apply (zenon_L207_); trivial. % 1.14/1.32 exact (zenon_H144 zenon_H145). % 1.14/1.32 (* end of lemma zenon_L337_ *) % 1.14/1.32 assert (zenon_L338_ : ((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> (c0_1 (a18)) -> (c2_1 (a18)) -> (~(c3_1 (a18))) -> (~(hskp19)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> False). % 1.14/1.32 do 0 intro. intros zenon_H1be zenon_Hd3 zenon_H254 zenon_H255 zenon_H256 zenon_He0 zenon_Hc2 zenon_Hc1 zenon_H144 zenon_H14a. % 1.14/1.32 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H1a. zenon_intro zenon_H1bf. % 1.14/1.32 apply (zenon_and_s _ _ zenon_H1bf). zenon_intro zenon_H1b5. zenon_intro zenon_H1c0. % 1.14/1.32 apply (zenon_and_s _ _ zenon_H1c0). zenon_intro zenon_H1b6. zenon_intro zenon_H1b7. % 1.14/1.32 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_Had | zenon_intro zenon_Hcd ]. % 1.14/1.32 apply (zenon_L337_); trivial. % 1.14/1.32 apply (zenon_L133_); trivial. % 1.14/1.32 (* end of lemma zenon_L338_ *) % 1.14/1.32 assert (zenon_L339_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> (~(hskp19)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (ndr1_0) -> (~(c3_1 (a18))) -> (c0_1 (a18)) -> (c2_1 (a18)) -> (~(hskp20)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> False). % 1.14/1.32 do 0 intro. intros zenon_H1c1 zenon_Hd3 zenon_H254 zenon_H255 zenon_H256 zenon_H144 zenon_H14a zenon_H1a zenon_Hc1 zenon_He0 zenon_Hc2 zenon_H1c4 zenon_H1c6. % 1.14/1.32 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1be ]. % 1.14/1.32 apply (zenon_L197_); trivial. % 1.14/1.32 apply (zenon_L338_); trivial. % 1.14/1.32 (* end of lemma zenon_L339_ *) % 1.14/1.32 assert (zenon_L340_ : ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (c3_1 (a3)) -> (c2_1 (a3)) -> (c1_1 (a3)) -> (forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1)))))) -> (ndr1_0) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> (c0_1 (a18)) -> (c2_1 (a18)) -> (~(c3_1 (a18))) -> (~(hskp19)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> False). % 1.14/1.32 do 0 intro. intros zenon_Hd3 zenon_H1f zenon_H1e zenon_H1d zenon_Hd6 zenon_H1a zenon_H254 zenon_H255 zenon_H256 zenon_He0 zenon_Hc2 zenon_Hc1 zenon_H144 zenon_H14a. % 1.14/1.32 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_Had | zenon_intro zenon_Hcd ]. % 1.14/1.32 apply (zenon_L337_); trivial. % 1.14/1.32 apply (zenon_L53_); trivial. % 1.14/1.32 (* end of lemma zenon_L340_ *) % 1.14/1.32 assert (zenon_L341_ : ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp27)\/(hskp26))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp19)) -> (~(c3_1 (a18))) -> (c2_1 (a18)) -> (c0_1 (a18)) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (~(c2_1 (a6))) -> (ndr1_0) -> (c1_1 (a3)) -> (c2_1 (a3)) -> (c3_1 (a3)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(hskp27)) -> (~(hskp26)) -> False). % 1.14/1.32 do 0 intro. intros zenon_H1f2 zenon_H14a zenon_H144 zenon_Hc1 zenon_Hc2 zenon_He0 zenon_H256 zenon_H255 zenon_H254 zenon_H1a zenon_H1d zenon_H1e zenon_H1f zenon_Hd3 zenon_H59 zenon_H1b3. % 1.14/1.32 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H1f3 ]. % 1.14/1.32 apply (zenon_L340_); trivial. % 1.14/1.32 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H5a | zenon_intro zenon_H1b4 ]. % 1.14/1.32 exact (zenon_H59 zenon_H5a). % 1.14/1.32 exact (zenon_H1b3 zenon_H1b4). % 1.14/1.32 (* end of lemma zenon_L341_ *) % 1.14/1.32 assert (zenon_L342_ : ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (c0_1 (a11)) -> (c3_1 (a11)) -> (c1_1 (a11)) -> (forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10)))))) -> (ndr1_0) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> (c0_1 (a18)) -> (c2_1 (a18)) -> (~(c3_1 (a18))) -> (~(hskp19)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> False). % 1.14/1.32 do 0 intro. intros zenon_Hd3 zenon_H9b zenon_H70 zenon_H6f zenon_H3b zenon_H1a zenon_H254 zenon_H255 zenon_H256 zenon_He0 zenon_Hc2 zenon_Hc1 zenon_H144 zenon_H14a. % 1.14/1.32 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_Had | zenon_intro zenon_Hcd ]. % 1.14/1.32 apply (zenon_L337_); trivial. % 1.14/1.32 apply (zenon_L262_); trivial. % 1.14/1.32 (* end of lemma zenon_L342_ *) % 1.14/1.32 assert (zenon_L343_ : ((ndr1_0)/\((c0_1 (a11))/\((c1_1 (a11))/\(c3_1 (a11))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> (~(hskp26)) -> (~(hskp25)) -> (~(c0_1 (a37))) -> (~(c3_1 (a37))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp19)) -> (~(c3_1 (a18))) -> (c2_1 (a18)) -> (c0_1 (a18)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> False). % 1.14/1.32 do 0 intro. intros zenon_H98 zenon_H1ee zenon_H1b3 zenon_H12c zenon_H1ce zenon_H1cf zenon_H1c2 zenon_H14a zenon_H144 zenon_Hc1 zenon_Hc2 zenon_He0 zenon_Hd3 zenon_H254 zenon_H255 zenon_H256. % 1.14/1.32 apply (zenon_and_s _ _ zenon_H98). zenon_intro zenon_H1a. zenon_intro zenon_H99. % 1.14/1.32 apply (zenon_and_s _ _ zenon_H99). zenon_intro zenon_H9b. zenon_intro zenon_H9a. % 1.14/1.32 apply (zenon_and_s _ _ zenon_H9a). zenon_intro zenon_H6f. zenon_intro zenon_H70. % 1.14/1.32 apply (zenon_or_s _ _ zenon_H1ee); [ zenon_intro zenon_H1e7 | zenon_intro zenon_H1ef ]. % 1.14/1.32 apply (zenon_L167_); trivial. % 1.14/1.32 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H3b | zenon_intro zenon_H6d ]. % 1.14/1.32 apply (zenon_L342_); trivial. % 1.14/1.32 apply (zenon_L318_); trivial. % 1.14/1.32 (* end of lemma zenon_L343_ *) % 1.14/1.32 assert (zenon_L344_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a11))/\((c1_1 (a11))/\(c3_1 (a11)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> (~(c0_1 (a37))) -> (~(c3_1 (a37))) -> (~(hskp25)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (c3_1 (a3)) -> (c2_1 (a3)) -> (c1_1 (a3)) -> (ndr1_0) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> (c0_1 (a18)) -> (c2_1 (a18)) -> (~(c3_1 (a18))) -> (~(hskp19)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp26)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp27)\/(hskp26))) -> False). % 1.14/1.32 do 0 intro. intros zenon_H97 zenon_H1ee zenon_H1ce zenon_H1cf zenon_H12c zenon_H1c2 zenon_Hd3 zenon_H1f zenon_H1e zenon_H1d zenon_H1a zenon_H254 zenon_H255 zenon_H256 zenon_He0 zenon_Hc2 zenon_Hc1 zenon_H144 zenon_H14a zenon_H1b3 zenon_H1f2. % 1.14/1.32 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H98 ]. % 1.14/1.32 apply (zenon_L341_); trivial. % 1.14/1.32 apply (zenon_L343_); trivial. % 1.14/1.32 (* end of lemma zenon_L344_ *) % 1.14/1.32 assert (zenon_L345_ : ((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a11))/\((c1_1 (a11))/\(c3_1 (a11)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> (~(c0_1 (a37))) -> (~(c3_1 (a37))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> (c0_1 (a18)) -> (c2_1 (a18)) -> (~(c3_1 (a18))) -> (~(hskp19)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp27)\/(hskp26))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> False). % 1.14/1.32 do 0 intro. intros zenon_H41 zenon_H167 zenon_H97 zenon_H1ee zenon_H1ce zenon_H1cf zenon_H1c2 zenon_Hd3 zenon_H254 zenon_H255 zenon_H256 zenon_He0 zenon_Hc2 zenon_Hc1 zenon_H144 zenon_H14a zenon_H1f2 zenon_H1c1. % 1.14/1.32 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H1a. zenon_intro zenon_H44. % 1.14/1.32 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H1d. zenon_intro zenon_H45. % 1.14/1.32 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H1e. zenon_intro zenon_H1f. % 1.14/1.32 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H12c | zenon_intro zenon_H148 ]. % 1.14/1.32 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1be ]. % 1.14/1.32 apply (zenon_L344_); trivial. % 1.14/1.32 apply (zenon_L338_); trivial. % 1.14/1.32 apply (zenon_L319_); trivial. % 1.14/1.32 (* end of lemma zenon_L345_ *) % 1.14/1.32 assert (zenon_L346_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> (~(hskp20)) -> (c2_1 (a19)) -> (~(c1_1 (a19))) -> (~(c3_1 (a19))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> (ndr1_0) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> (~(hskp9)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((hskp9)\/(hskp24))) -> False). % 1.14/1.32 do 0 intro. intros zenon_H48 zenon_H1c1 zenon_H1c6 zenon_H1c4 zenon_Hb0 zenon_Hae zenon_Haf zenon_Hd3 zenon_H177 zenon_H1a zenon_H254 zenon_H255 zenon_H256 zenon_H3 zenon_H7b. % 1.14/1.32 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H11 | zenon_intro zenon_H41 ]. % 1.14/1.32 apply (zenon_L329_); trivial. % 1.14/1.32 apply (zenon_L282_); trivial. % 1.14/1.32 (* end of lemma zenon_L346_ *) % 1.14/1.32 assert (zenon_L347_ : ((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a11))/\((c1_1 (a11))/\(c3_1 (a11)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> (~(c1_1 (a19))) -> (~(c3_1 (a19))) -> (c2_1 (a19)) -> (~(c0_1 (a37))) -> (~(c3_1 (a37))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> (c0_1 (a18)) -> (c2_1 (a18)) -> (~(c3_1 (a18))) -> (~(hskp19)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp27)\/(hskp26))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> False). % 1.14/1.32 do 0 intro. intros zenon_H41 zenon_H167 zenon_H97 zenon_H1ee zenon_Hae zenon_Haf zenon_Hb0 zenon_H1ce zenon_H1cf zenon_H1c2 zenon_Hd3 zenon_H254 zenon_H255 zenon_H256 zenon_He0 zenon_Hc2 zenon_Hc1 zenon_H144 zenon_H14a zenon_H1f2 zenon_H1c1. % 1.14/1.32 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H1a. zenon_intro zenon_H44. % 1.14/1.32 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H1d. zenon_intro zenon_H45. % 1.14/1.32 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H1e. zenon_intro zenon_H1f. % 1.14/1.32 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H12c | zenon_intro zenon_H148 ]. % 1.14/1.32 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1be ]. % 1.14/1.32 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H98 ]. % 1.14/1.32 apply (zenon_L341_); trivial. % 1.14/1.32 apply (zenon_L172_); trivial. % 1.14/1.32 apply (zenon_L338_); trivial. % 1.14/1.32 apply (zenon_L319_); trivial. % 1.14/1.32 (* end of lemma zenon_L347_ *) % 1.14/1.32 assert (zenon_L348_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a11))/\((c1_1 (a11))/\(c3_1 (a11)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> (c0_1 (a18)) -> (c2_1 (a18)) -> (~(c3_1 (a18))) -> (~(hskp19)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp27)\/(hskp26))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((hskp9)\/(hskp24))) -> (~(hskp9)) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (~(c2_1 (a6))) -> (ndr1_0) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(c3_1 (a19))) -> (~(c1_1 (a19))) -> (c2_1 (a19)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> False). % 1.14/1.32 do 0 intro. intros zenon_H1da zenon_H167 zenon_H97 zenon_H1ee zenon_H1c2 zenon_He0 zenon_Hc2 zenon_Hc1 zenon_H144 zenon_H14a zenon_H1f2 zenon_H7b zenon_H3 zenon_H256 zenon_H255 zenon_H254 zenon_H1a zenon_H177 zenon_Hd3 zenon_Haf zenon_Hae zenon_Hb0 zenon_H1c6 zenon_H1c1 zenon_H48. % 1.14/1.32 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.14/1.32 apply (zenon_L346_); trivial. % 1.14/1.32 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H1a. zenon_intro zenon_H1d8. % 1.14/1.32 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1d0. zenon_intro zenon_H1d9. % 1.14/1.32 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1ce. zenon_intro zenon_H1cf. % 1.14/1.32 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H11 | zenon_intro zenon_H41 ]. % 1.14/1.32 apply (zenon_L329_); trivial. % 1.14/1.32 apply (zenon_L347_); trivial. % 1.14/1.32 (* end of lemma zenon_L348_ *) % 1.14/1.32 assert (zenon_L349_ : ((ndr1_0)/\((c2_1 (a19))/\((~(c1_1 (a19)))/\(~(c3_1 (a19)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp8)\/(hskp9))) -> (~(hskp8)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> (~(hskp9)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((hskp9)\/(hskp24))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp27)\/(hskp26))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(c3_1 (a18))) -> (c2_1 (a18)) -> (c0_1 (a18)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a11))/\((c1_1 (a11))/\(c3_1 (a11)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> False). % 1.14/1.32 do 0 intro. intros zenon_He5 zenon_H17b zenon_H1a3 zenon_Hb zenon_H95 zenon_H48 zenon_H1c1 zenon_H1c6 zenon_Hd3 zenon_H177 zenon_H254 zenon_H255 zenon_H256 zenon_H3 zenon_H7b zenon_H1f2 zenon_H14a zenon_Hc1 zenon_Hc2 zenon_He0 zenon_H1c2 zenon_H1ee zenon_H97 zenon_H167 zenon_H1da. % 1.14/1.32 apply (zenon_and_s _ _ zenon_He5). zenon_intro zenon_H1a. zenon_intro zenon_He6. % 1.14/1.32 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_Hb0. zenon_intro zenon_He7. % 1.14/1.32 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hae. zenon_intro zenon_Haf. % 1.14/1.32 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.14/1.32 apply (zenon_L348_); trivial. % 1.14/1.32 apply (zenon_L280_); trivial. % 1.14/1.32 (* end of lemma zenon_L349_ *) % 1.14/1.32 assert (zenon_L350_ : ((ndr1_0)/\((c0_1 (a18))/\((c2_1 (a18))/\(~(c3_1 (a18)))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a19))/\((~(c1_1 (a19)))/\(~(c3_1 (a19))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp8)\/(hskp9))) -> (~(hskp8)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a11))/\((c1_1 (a11))/\(c3_1 (a11)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp27)\/(hskp26))) -> (~(hskp9)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((hskp9)\/(hskp24))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (~(c2_1 (a6))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> False). % 1.14/1.32 do 0 intro. intros zenon_H217 zenon_H213 zenon_H1a3 zenon_Hb zenon_H95 zenon_H177 zenon_H1da zenon_H48 zenon_H167 zenon_H97 zenon_H1ee zenon_H1c2 zenon_H1f2 zenon_H3 zenon_H7b zenon_H1c6 zenon_H14a zenon_H256 zenon_H255 zenon_H254 zenon_Hd3 zenon_H1c1 zenon_H93 zenon_H17b. % 1.14/1.32 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H1a. zenon_intro zenon_H218. % 1.14/1.32 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_He0. zenon_intro zenon_H219. % 1.14/1.32 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_Hc2. zenon_intro zenon_Hc1. % 1.14/1.32 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H91 | zenon_intro zenon_He5 ]. % 1.14/1.32 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.14/1.32 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.14/1.32 apply (zenon_L339_); trivial. % 1.14/1.32 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H1a. zenon_intro zenon_H1d8. % 1.14/1.32 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1d0. zenon_intro zenon_H1d9. % 1.14/1.32 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1ce. zenon_intro zenon_H1cf. % 1.14/1.32 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H11 | zenon_intro zenon_H41 ]. % 1.14/1.32 apply (zenon_L329_); trivial. % 1.14/1.32 apply (zenon_L345_); trivial. % 1.14/1.32 apply (zenon_L153_); trivial. % 1.14/1.32 apply (zenon_L349_); trivial. % 1.14/1.32 (* end of lemma zenon_L350_ *) % 1.14/1.32 assert (zenon_L351_ : ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp18)) -> (~(hskp17)) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> (~(hskp26)) -> (~(hskp27)) -> (ndr1_0) -> (~(c0_1 (a33))) -> (c2_1 (a33)) -> (c3_1 (a33)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp27)\/(hskp26))) -> (~(hskp10)) -> False). % 1.14/1.32 do 0 intro. intros zenon_H43 zenon_H128 zenon_H9 zenon_H254 zenon_H255 zenon_H256 zenon_H12a zenon_H1b3 zenon_H59 zenon_H1a zenon_H168 zenon_H16a zenon_H171 zenon_H1f2 zenon_H2d. % 1.14/1.32 apply (zenon_or_s _ _ zenon_H43); [ zenon_intro zenon_H1b | zenon_intro zenon_H47 ]. % 1.14/1.32 apply (zenon_L322_); trivial. % 1.14/1.32 apply (zenon_or_s _ _ zenon_H47); [ zenon_intro zenon_H31 | zenon_intro zenon_H2e ]. % 1.14/1.32 apply (zenon_L179_); trivial. % 1.14/1.32 exact (zenon_H2d zenon_H2e). % 1.14/1.32 (* end of lemma zenon_L351_ *) % 1.14/1.32 assert (zenon_L352_ : (forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43)))))) -> (ndr1_0) -> (forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))) -> (c0_1 (a11)) -> (c3_1 (a11)) -> False). % 1.14/1.32 do 0 intro. intros zenon_H11e zenon_H1a zenon_Hcd zenon_H9b zenon_H70. % 1.14/1.32 generalize (zenon_H11e (a11)). zenon_intro zenon_H264. % 1.14/1.32 apply (zenon_imply_s _ _ zenon_H264); [ zenon_intro zenon_H19 | zenon_intro zenon_H265 ]. % 1.14/1.32 exact (zenon_H19 zenon_H1a). % 1.14/1.32 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H74 | zenon_intro zenon_H266 ]. % 1.14/1.32 apply (zenon_L169_); trivial. % 1.14/1.32 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H1ed | zenon_intro zenon_H79 ]. % 1.14/1.32 exact (zenon_H1ed zenon_H9b). % 1.14/1.32 exact (zenon_H79 zenon_H70). % 1.14/1.32 (* end of lemma zenon_L352_ *) % 1.14/1.32 assert (zenon_L353_ : ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> (c3_1 (a11)) -> (c0_1 (a11)) -> (forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))) -> (ndr1_0) -> (~(hskp17)) -> (~(hskp18)) -> False). % 1.14/1.32 do 0 intro. intros zenon_H12a zenon_H70 zenon_H9b zenon_Hcd zenon_H1a zenon_H9 zenon_H128. % 1.14/1.32 apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_H11e | zenon_intro zenon_H12b ]. % 1.14/1.32 apply (zenon_L352_); trivial. % 1.14/1.32 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_Ha | zenon_intro zenon_H129 ]. % 1.14/1.32 exact (zenon_H9 zenon_Ha). % 1.14/1.32 exact (zenon_H128 zenon_H129). % 1.14/1.32 (* end of lemma zenon_L353_ *) % 1.14/1.32 assert (zenon_L354_ : ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (~(c2_1 (a16))) -> (forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14)))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> (c3_1 (a11)) -> (c0_1 (a11)) -> (ndr1_0) -> (~(hskp17)) -> (~(hskp18)) -> False). % 1.14/1.32 do 0 intro. intros zenon_Hfc zenon_Heb zenon_Hea zenon_He9 zenon_Hf2 zenon_H12a zenon_H70 zenon_H9b zenon_H1a zenon_H9 zenon_H128. % 1.14/1.32 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfd ]. % 1.14/1.32 apply (zenon_L63_); trivial. % 1.14/1.32 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hf3 | zenon_intro zenon_Hcd ]. % 1.14/1.32 apply (zenon_L64_); trivial. % 1.14/1.32 apply (zenon_L353_); trivial. % 1.14/1.32 (* end of lemma zenon_L354_ *) % 1.14/1.32 assert (zenon_L355_ : ((ndr1_0)/\((c0_1 (a11))/\((c1_1 (a11))/\(c3_1 (a11))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((hskp2)\/(hskp14))) -> (~(hskp18)) -> (~(hskp17)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> (~(c2_1 (a16))) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(hskp2)) -> (~(hskp14)) -> False). % 1.14/1.32 do 0 intro. intros zenon_H98 zenon_H113 zenon_H128 zenon_H9 zenon_H12a zenon_He9 zenon_Hea zenon_Heb zenon_Hfc zenon_Hfe zenon_H100. % 1.14/1.32 apply (zenon_and_s _ _ zenon_H98). zenon_intro zenon_H1a. zenon_intro zenon_H99. % 1.14/1.32 apply (zenon_and_s _ _ zenon_H99). zenon_intro zenon_H9b. zenon_intro zenon_H9a. % 1.14/1.32 apply (zenon_and_s _ _ zenon_H9a). zenon_intro zenon_H6f. zenon_intro zenon_H70. % 1.14/1.32 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_Hf2 | zenon_intro zenon_H114 ]. % 1.14/1.32 apply (zenon_L354_); trivial. % 1.14/1.32 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hff | zenon_intro zenon_H101 ]. % 1.14/1.32 exact (zenon_Hfe zenon_Hff). % 1.14/1.32 exact (zenon_H100 zenon_H101). % 1.14/1.32 (* end of lemma zenon_L355_ *) % 1.14/1.32 assert (zenon_L356_ : ((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp27)\/(hskp26))) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> (~(hskp17)) -> (~(hskp18)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (~(c2_1 (a16))) -> (~(hskp2)) -> (~(hskp14)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((hskp2)\/(hskp14))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a11))/\((c1_1 (a11))/\(c3_1 (a11)))))) -> False). % 1.14/1.32 do 0 intro. intros zenon_H176 zenon_H1c1 zenon_H43 zenon_H2d zenon_H1f2 zenon_H254 zenon_H255 zenon_H256 zenon_H9 zenon_H128 zenon_H12a zenon_Hfc zenon_Heb zenon_Hea zenon_He9 zenon_Hfe zenon_H100 zenon_H113 zenon_H97. % 1.14/1.32 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1a. zenon_intro zenon_H178. % 1.14/1.32 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H16a. zenon_intro zenon_H179. % 1.14/1.32 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H171. zenon_intro zenon_H168. % 1.14/1.32 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1be ]. % 1.14/1.32 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H98 ]. % 1.14/1.32 apply (zenon_L351_); trivial. % 1.14/1.32 apply (zenon_L355_); trivial. % 1.14/1.32 apply (zenon_L174_); trivial. % 1.14/1.32 (* end of lemma zenon_L356_ *) % 1.14/1.32 assert (zenon_L357_ : ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> (~(hskp1)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> ((hskp25)\/((hskp17)\/(hskp21))) -> (~(hskp17)) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a11))/\((c1_1 (a11))/\(c3_1 (a11)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((hskp2)\/(hskp14))) -> (~(hskp14)) -> (~(hskp2)) -> (~(c2_1 (a16))) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp27)\/(hskp26))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> False). % 1.14/1.32 do 0 intro. intros zenon_H17a zenon_H177 zenon_Hde zenon_H162 zenon_H166 zenon_H43 zenon_H2d zenon_H12a zenon_H130 zenon_H9 zenon_H254 zenon_H255 zenon_H256 zenon_H14a zenon_H167 zenon_H97 zenon_H113 zenon_H100 zenon_Hfe zenon_He9 zenon_Hea zenon_Heb zenon_Hfc zenon_H1f2 zenon_H1c1 zenon_H17b. % 1.14/1.32 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H128 | zenon_intro zenon_H17c ]. % 1.14/1.32 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.14/1.32 apply (zenon_L324_); trivial. % 1.14/1.32 apply (zenon_L356_); trivial. % 1.14/1.32 apply (zenon_L327_); trivial. % 1.14/1.32 (* end of lemma zenon_L357_ *) % 1.14/1.32 assert (zenon_L358_ : ((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/(hskp13))) -> (~(c2_1 (a16))) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(c1_1 (a31))) -> (c0_1 (a31)) -> (c2_1 (a31)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(hskp13)) -> False). % 1.14/1.32 do 0 intro. intros zenon_H1be zenon_H247 zenon_He9 zenon_Hea zenon_Heb zenon_Hfc zenon_H32 zenon_H3c zenon_H33 zenon_Hd3 zenon_H5. % 1.14/1.32 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H1a. zenon_intro zenon_H1bf. % 1.14/1.32 apply (zenon_and_s _ _ zenon_H1bf). zenon_intro zenon_H1b5. zenon_intro zenon_H1c0. % 1.14/1.32 apply (zenon_and_s _ _ zenon_H1c0). zenon_intro zenon_H1b6. zenon_intro zenon_H1b7. % 1.14/1.32 apply (zenon_or_s _ _ zenon_H247); [ zenon_intro zenon_Hf2 | zenon_intro zenon_H248 ]. % 1.14/1.32 apply (zenon_L173_); trivial. % 1.14/1.32 apply (zenon_or_s _ _ zenon_H248); [ zenon_intro zenon_H243 | zenon_intro zenon_H6 ]. % 1.14/1.32 apply (zenon_L271_); trivial. % 1.14/1.32 exact (zenon_H5 zenon_H6). % 1.14/1.32 (* end of lemma zenon_L358_ *) % 1.14/1.32 assert (zenon_L359_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/(hskp13))) -> (~(hskp13)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(c2_1 (a16))) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp19)) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (~(c2_1 (a6))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> (~(hskp20)) -> (c0_1 (a31)) -> (c2_1 (a31)) -> (~(c1_1 (a31))) -> (~(hskp10)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp23)) -> (~(hskp0)) -> ((hskp24)\/((hskp23)\/(hskp0))) -> False). % 1.14/1.32 do 0 intro. intros zenon_H48 zenon_H1c1 zenon_H247 zenon_H5 zenon_Hd3 zenon_He9 zenon_Hea zenon_Heb zenon_Hfc zenon_H14a zenon_H144 zenon_H256 zenon_H255 zenon_H254 zenon_H1c6 zenon_H1c4 zenon_H3c zenon_H33 zenon_H32 zenon_H2d zenon_H43 zenon_H13 zenon_H15 zenon_H17. % 1.14/1.32 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H11 | zenon_intro zenon_H41 ]. % 1.14/1.32 apply (zenon_L12_); trivial. % 1.14/1.32 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H1a. zenon_intro zenon_H44. % 1.14/1.32 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H1d. zenon_intro zenon_H45. % 1.14/1.32 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H1e. zenon_intro zenon_H1f. % 1.14/1.32 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1be ]. % 1.14/1.32 apply (zenon_or_s _ _ zenon_H43); [ zenon_intro zenon_H1b | zenon_intro zenon_H47 ]. % 1.14/1.32 apply (zenon_L330_); trivial. % 1.14/1.32 apply (zenon_or_s _ _ zenon_H47); [ zenon_intro zenon_H31 | zenon_intro zenon_H2e ]. % 1.14/1.32 apply (zenon_L141_); trivial. % 1.14/1.32 exact (zenon_H2d zenon_H2e). % 1.14/1.32 apply (zenon_L358_); trivial. % 1.14/1.32 (* end of lemma zenon_L359_ *) % 1.14/1.32 assert (zenon_L360_ : ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (c3_1 (a53)) -> (~(c0_1 (a53))) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6)))))) -> (~(c1_1 (a53))) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32)))))) -> (~(c2_1 (a6))) -> (ndr1_0) -> (~(hskp15)) -> False). % 1.14/1.32 do 0 intro. intros zenon_H149 zenon_H4d zenon_H4a zenon_H65 zenon_H4c zenon_H256 zenon_H255 zenon_H1b zenon_H254 zenon_H1a zenon_H146. % 1.14/1.32 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H132 | zenon_intro zenon_H14d ]. % 1.14/1.32 apply (zenon_L100_); trivial. % 1.14/1.32 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H11e | zenon_intro zenon_H147 ]. % 1.14/1.32 apply (zenon_L321_); trivial. % 1.14/1.32 exact (zenon_H146 zenon_H147). % 1.14/1.32 (* end of lemma zenon_L360_ *) % 1.14/1.32 assert (zenon_L361_ : ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp15)) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (~(hskp11)) -> (ndr1_0) -> (~(c1_1 (a31))) -> (c2_1 (a31)) -> (c0_1 (a31)) -> (~(c0_1 (a53))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c1_1 (a53))) -> (c3_1 (a53)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp10)) -> False). % 1.14/1.32 do 0 intro. intros zenon_H43 zenon_H146 zenon_H254 zenon_H255 zenon_H256 zenon_H65 zenon_H149 zenon_H91 zenon_H1a zenon_H32 zenon_H33 zenon_H3c zenon_H4a zenon_H4b zenon_H4c zenon_H4d zenon_H93 zenon_H2d. % 1.14/1.32 apply (zenon_or_s _ _ zenon_H43); [ zenon_intro zenon_H1b | zenon_intro zenon_H47 ]. % 1.14/1.32 apply (zenon_L360_); trivial. % 1.14/1.32 apply (zenon_or_s _ _ zenon_H47); [ zenon_intro zenon_H31 | zenon_intro zenon_H2e ]. % 1.14/1.32 apply (zenon_L37_); trivial. % 1.14/1.32 exact (zenon_H2d zenon_H2e). % 1.14/1.32 (* end of lemma zenon_L361_ *) % 1.14/1.32 assert (zenon_L362_ : ((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(hskp0))) -> (~(hskp3)) -> (~(hskp2)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp15)) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (~(hskp11)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp10)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp2)\/(hskp3))) -> (c2_1 (a31)) -> (c0_1 (a31)) -> (~(c1_1 (a31))) -> (~(hskp0)) -> False). % 1.14/1.32 do 0 intro. intros zenon_Ha1 zenon_H63 zenon_H10b zenon_Hfe zenon_H43 zenon_H146 zenon_H254 zenon_H255 zenon_H256 zenon_H149 zenon_H91 zenon_H93 zenon_H2d zenon_H10e zenon_H33 zenon_H3c zenon_H32 zenon_H15. % 1.14/1.32 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H1a. zenon_intro zenon_Ha2. % 1.14/1.32 apply (zenon_and_s _ _ zenon_Ha2). zenon_intro zenon_H4d. zenon_intro zenon_Ha3. % 1.14/1.32 apply (zenon_and_s _ _ zenon_Ha3). zenon_intro zenon_H4a. zenon_intro zenon_H4c. % 1.14/1.32 apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H4b | zenon_intro zenon_H64 ]. % 1.14/1.32 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_H65 | zenon_intro zenon_H111 ]. % 1.14/1.32 apply (zenon_L361_); trivial. % 1.14/1.32 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hff | zenon_intro zenon_H10c ]. % 1.14/1.32 exact (zenon_Hfe zenon_Hff). % 1.14/1.32 exact (zenon_H10b zenon_H10c). % 1.14/1.32 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H5f | zenon_intro zenon_H16 ]. % 1.14/1.32 apply (zenon_L26_); trivial. % 1.14/1.32 exact (zenon_H15 zenon_H16). % 1.14/1.32 (* end of lemma zenon_L362_ *) % 1.14/1.32 assert (zenon_L363_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> (~(hskp26)) -> (~(hskp25)) -> (~(c0_1 (a37))) -> (~(c3_1 (a37))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> (~(hskp10)) -> (~(c1_1 (a31))) -> (c2_1 (a31)) -> (c0_1 (a31)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c3_1 (a3)) -> (c2_1 (a3)) -> (c1_1 (a3)) -> (~(hskp19)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (ndr1_0) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> False). % 1.14/1.32 do 0 intro. intros zenon_H1ee zenon_H1b3 zenon_H12c zenon_H1ce zenon_H1cf zenon_H1c2 zenon_H2d zenon_H32 zenon_H33 zenon_H3c zenon_H14a zenon_H1f zenon_H1e zenon_H1d zenon_H144 zenon_H43 zenon_H1a zenon_H254 zenon_H255 zenon_H256. % 1.14/1.32 apply (zenon_or_s _ _ zenon_H1ee); [ zenon_intro zenon_H1e7 | zenon_intro zenon_H1ef ]. % 1.14/1.32 apply (zenon_L167_); trivial. % 1.14/1.32 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H3b | zenon_intro zenon_H6d ]. % 1.14/1.32 apply (zenon_L331_); trivial. % 1.14/1.32 apply (zenon_L318_); trivial. % 1.14/1.32 (* end of lemma zenon_L363_ *) % 1.14/1.32 assert (zenon_L364_ : (forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40)))))) -> (ndr1_0) -> (forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))) -> (c0_1 (a10)) -> (c2_1 (a10)) -> (c3_1 (a10)) -> False). % 1.14/1.32 do 0 intro. intros zenon_H243 zenon_H1a zenon_H1c zenon_H1b5 zenon_H1b6 zenon_H1b7. % 1.14/1.32 generalize (zenon_H243 (a10)). zenon_intro zenon_H267. % 1.14/1.32 apply (zenon_imply_s _ _ zenon_H267); [ zenon_intro zenon_H19 | zenon_intro zenon_H268 ]. % 1.14/1.32 exact (zenon_H19 zenon_H1a). % 1.14/1.32 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H26a | zenon_intro zenon_H269 ]. % 1.14/1.32 generalize (zenon_H1c (a10)). zenon_intro zenon_H26b. % 1.14/1.32 apply (zenon_imply_s _ _ zenon_H26b); [ zenon_intro zenon_H19 | zenon_intro zenon_H26c ]. % 1.14/1.32 exact (zenon_H19 zenon_H1a). % 1.14/1.32 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H1bb | zenon_intro zenon_H26d ]. % 1.14/1.32 exact (zenon_H1bb zenon_H1b5). % 1.14/1.32 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H26e | zenon_intro zenon_H1bd ]. % 1.14/1.32 exact (zenon_H26e zenon_H26a). % 1.14/1.32 exact (zenon_H1bd zenon_H1b6). % 1.14/1.32 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H1bb | zenon_intro zenon_H1bc ]. % 1.14/1.32 exact (zenon_H1bb zenon_H1b5). % 1.14/1.32 exact (zenon_H1bc zenon_H1b7). % 1.14/1.32 (* end of lemma zenon_L364_ *) % 1.14/1.32 assert (zenon_L365_ : ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (~(c2_1 (a6))) -> (c3_1 (a10)) -> (c2_1 (a10)) -> (c0_1 (a10)) -> (ndr1_0) -> (forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40)))))) -> (~(hskp19)) -> False). % 1.14/1.32 do 0 intro. intros zenon_H14a zenon_H256 zenon_H255 zenon_H254 zenon_H1b7 zenon_H1b6 zenon_H1b5 zenon_H1a zenon_H243 zenon_H144. % 1.14/1.32 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_H6d | zenon_intro zenon_H14e ]. % 1.14/1.32 apply (zenon_L318_); trivial. % 1.14/1.32 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H1c | zenon_intro zenon_H145 ]. % 1.14/1.32 apply (zenon_L364_); trivial. % 1.14/1.32 exact (zenon_H144 zenon_H145). % 1.14/1.32 (* end of lemma zenon_L365_ *) % 1.14/1.32 assert (zenon_L366_ : ((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/(hskp13))) -> (~(c2_1 (a16))) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(hskp19)) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp13)) -> False). % 1.14/1.32 do 0 intro. intros zenon_H1be zenon_H247 zenon_He9 zenon_Hea zenon_Heb zenon_Hfc zenon_H144 zenon_H254 zenon_H255 zenon_H256 zenon_H14a zenon_H5. % 1.14/1.32 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H1a. zenon_intro zenon_H1bf. % 1.14/1.32 apply (zenon_and_s _ _ zenon_H1bf). zenon_intro zenon_H1b5. zenon_intro zenon_H1c0. % 1.14/1.32 apply (zenon_and_s _ _ zenon_H1c0). zenon_intro zenon_H1b6. zenon_intro zenon_H1b7. % 1.14/1.32 apply (zenon_or_s _ _ zenon_H247); [ zenon_intro zenon_Hf2 | zenon_intro zenon_H248 ]. % 1.14/1.32 apply (zenon_L173_); trivial. % 1.14/1.32 apply (zenon_or_s _ _ zenon_H248); [ zenon_intro zenon_H243 | zenon_intro zenon_H6 ]. % 1.14/1.32 apply (zenon_L365_); trivial. % 1.14/1.32 exact (zenon_H5 zenon_H6). % 1.14/1.32 (* end of lemma zenon_L366_ *) % 1.14/1.32 assert (zenon_L367_ : ((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp19)) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (~(c2_1 (a6))) -> (~(c1_1 (a31))) -> (c2_1 (a31)) -> (c0_1 (a31)) -> (~(hskp10)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(c0_1 (a37))) -> (~(c3_1 (a37))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (~(c2_1 (a16))) -> (~(hskp13)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/(hskp13))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> False). % 1.14/1.32 do 0 intro. intros zenon_H41 zenon_H167 zenon_H1ee zenon_H14a zenon_H144 zenon_H256 zenon_H255 zenon_H254 zenon_H32 zenon_H33 zenon_H3c zenon_H2d zenon_H43 zenon_H1ce zenon_H1cf zenon_H1c2 zenon_Hfc zenon_Heb zenon_Hea zenon_He9 zenon_H5 zenon_H247 zenon_H1c1. % 1.14/1.32 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H1a. zenon_intro zenon_H44. % 1.14/1.32 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H1d. zenon_intro zenon_H45. % 1.14/1.32 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H1e. zenon_intro zenon_H1f. % 1.14/1.32 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H12c | zenon_intro zenon_H148 ]. % 1.14/1.32 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1be ]. % 1.14/1.32 apply (zenon_L363_); trivial. % 1.14/1.32 apply (zenon_L366_); trivial. % 1.14/1.32 apply (zenon_L319_); trivial. % 1.14/1.32 (* end of lemma zenon_L367_ *) % 1.14/1.32 assert (zenon_L368_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp19)) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (~(c2_1 (a6))) -> (~(c1_1 (a31))) -> (c2_1 (a31)) -> (c0_1 (a31)) -> (~(hskp10)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(c0_1 (a37))) -> (~(c3_1 (a37))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (~(c2_1 (a16))) -> (~(hskp13)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/(hskp13))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> (~(hskp23)) -> (~(hskp0)) -> ((hskp24)\/((hskp23)\/(hskp0))) -> False). % 1.14/1.32 do 0 intro. intros zenon_H48 zenon_H167 zenon_H1ee zenon_H14a zenon_H144 zenon_H256 zenon_H255 zenon_H254 zenon_H32 zenon_H33 zenon_H3c zenon_H2d zenon_H43 zenon_H1ce zenon_H1cf zenon_H1c2 zenon_Hfc zenon_Heb zenon_Hea zenon_He9 zenon_H5 zenon_H247 zenon_H1c1 zenon_H13 zenon_H15 zenon_H17. % 1.14/1.32 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H11 | zenon_intro zenon_H41 ]. % 1.14/1.32 apply (zenon_L12_); trivial. % 1.14/1.32 apply (zenon_L367_); trivial. % 1.14/1.32 (* end of lemma zenon_L368_ *) % 1.14/1.32 assert (zenon_L369_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> (~(c3_1 (a37))) -> (forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16)))))) -> (~(c0_1 (a37))) -> (c0_1 (a31)) -> (c2_1 (a31)) -> (forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))) -> (~(c1_1 (a31))) -> (ndr1_0) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> False). % 1.14/1.32 do 0 intro. intros zenon_H1ee zenon_H1cf zenon_H1ab zenon_H1ce zenon_H3c zenon_H33 zenon_H31 zenon_H32 zenon_H1a zenon_H254 zenon_H255 zenon_H256. % 1.14/1.32 apply (zenon_or_s _ _ zenon_H1ee); [ zenon_intro zenon_H1e7 | zenon_intro zenon_H1ef ]. % 1.14/1.32 apply (zenon_L166_); trivial. % 1.14/1.32 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H3b | zenon_intro zenon_H6d ]. % 1.14/1.32 apply (zenon_L19_); trivial. % 1.14/1.32 apply (zenon_L318_); trivial. % 1.14/1.32 (* end of lemma zenon_L369_ *) % 1.14/1.32 assert (zenon_L370_ : ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> (~(hskp10)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> (~(c3_1 (a37))) -> (~(c0_1 (a37))) -> (c0_1 (a31)) -> (c2_1 (a31)) -> (~(c1_1 (a31))) -> (ndr1_0) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (c3_1 (a53)) -> (~(c0_1 (a53))) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6)))))) -> (~(c1_1 (a53))) -> (~(hskp15)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp25)) -> (~(hskp26)) -> False). % 1.14/1.32 do 0 intro. intros zenon_H1c2 zenon_H2d zenon_H1ee zenon_H1cf zenon_H1ce zenon_H3c zenon_H33 zenon_H32 zenon_H1a zenon_H254 zenon_H255 zenon_H256 zenon_H149 zenon_H4d zenon_H4a zenon_H65 zenon_H4c zenon_H146 zenon_H43 zenon_H12c zenon_H1b3. % 1.14/1.32 apply (zenon_or_s _ _ zenon_H1c2); [ zenon_intro zenon_H1ab | zenon_intro zenon_H1c3 ]. % 1.14/1.32 apply (zenon_or_s _ _ zenon_H43); [ zenon_intro zenon_H1b | zenon_intro zenon_H47 ]. % 1.14/1.32 apply (zenon_L360_); trivial. % 1.14/1.32 apply (zenon_or_s _ _ zenon_H47); [ zenon_intro zenon_H31 | zenon_intro zenon_H2e ]. % 1.14/1.32 apply (zenon_L369_); trivial. % 1.14/1.32 exact (zenon_H2d zenon_H2e). % 1.14/1.32 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_H12d | zenon_intro zenon_H1b4 ]. % 1.14/1.32 exact (zenon_H12c zenon_H12d). % 1.14/1.32 exact (zenon_H1b3 zenon_H1b4). % 1.14/1.32 (* end of lemma zenon_L370_ *) % 1.14/1.32 assert (zenon_L371_ : ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (~(hskp26)) -> (~(hskp25)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp15)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (~(c2_1 (a6))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> (~(hskp10)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> (c1_1 (a37)) -> (~(c3_1 (a37))) -> (~(c0_1 (a37))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (c3_1 (a53)) -> (~(c1_1 (a53))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c0_1 (a53))) -> (c0_1 (a31)) -> (c2_1 (a31)) -> (~(c1_1 (a31))) -> (ndr1_0) -> (~(hskp11)) -> False). % 1.14/1.32 do 0 intro. intros zenon_H95 zenon_H1b3 zenon_H12c zenon_H43 zenon_H146 zenon_H149 zenon_H256 zenon_H255 zenon_H254 zenon_H1ee zenon_H2d zenon_H1c2 zenon_H1d0 zenon_H1cf zenon_H1ce zenon_H93 zenon_H4d zenon_H4c zenon_H4b zenon_H4a zenon_H3c zenon_H33 zenon_H32 zenon_H1a zenon_H91. % 1.14/1.32 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H65 | zenon_intro zenon_H96 ]. % 1.14/1.32 apply (zenon_L370_); trivial. % 1.14/1.32 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H7f | zenon_intro zenon_H31 ]. % 1.14/1.32 apply (zenon_L144_); trivial. % 1.14/1.32 apply (zenon_L37_); trivial. % 1.14/1.32 (* end of lemma zenon_L371_ *) % 1.14/1.32 assert (zenon_L372_ : (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7)))))) -> (ndr1_0) -> (~(c0_1 (a30))) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c3_1 W)))))) -> (~(c2_1 (a30))) -> (c1_1 (a30)) -> False). % 1.14/1.32 do 0 intro. intros zenon_H7f zenon_H1a zenon_H201 zenon_H69 zenon_H202 zenon_H203. % 1.14/1.32 generalize (zenon_H7f (a30)). zenon_intro zenon_H26f. % 1.14/1.32 apply (zenon_imply_s _ _ zenon_H26f); [ zenon_intro zenon_H19 | zenon_intro zenon_H270 ]. % 1.14/1.32 exact (zenon_H19 zenon_H1a). % 1.14/1.32 apply (zenon_or_s _ _ zenon_H270); [ zenon_intro zenon_H207 | zenon_intro zenon_H271 ]. % 1.14/1.32 exact (zenon_H201 zenon_H207). % 1.14/1.32 apply (zenon_or_s _ _ zenon_H271); [ zenon_intro zenon_H272 | zenon_intro zenon_H208 ]. % 1.14/1.32 generalize (zenon_H69 (a30)). zenon_intro zenon_H273. % 1.14/1.32 apply (zenon_imply_s _ _ zenon_H273); [ zenon_intro zenon_H19 | zenon_intro zenon_H274 ]. % 1.14/1.32 exact (zenon_H19 zenon_H1a). % 1.14/1.32 apply (zenon_or_s _ _ zenon_H274); [ zenon_intro zenon_H207 | zenon_intro zenon_H275 ]. % 1.14/1.32 exact (zenon_H201 zenon_H207). % 1.14/1.32 apply (zenon_or_s _ _ zenon_H275); [ zenon_intro zenon_H209 | zenon_intro zenon_H276 ]. % 1.14/1.32 exact (zenon_H202 zenon_H209). % 1.14/1.32 exact (zenon_H276 zenon_H272). % 1.14/1.32 exact (zenon_H208 zenon_H203). % 1.14/1.32 (* end of lemma zenon_L372_ *) % 1.14/1.32 assert (zenon_L373_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(hskp0))) -> (~(hskp11)) -> (~(c0_1 (a53))) -> (~(c1_1 (a53))) -> (c3_1 (a53)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(c0_1 (a30))) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c3_1 W)))))) -> (~(c2_1 (a30))) -> (c1_1 (a30)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (c2_1 (a31)) -> (c0_1 (a31)) -> (~(c1_1 (a31))) -> (ndr1_0) -> (~(hskp0)) -> False). % 1.14/1.32 do 0 intro. intros zenon_H63 zenon_H91 zenon_H4a zenon_H4c zenon_H4d zenon_H93 zenon_H201 zenon_H69 zenon_H202 zenon_H203 zenon_H95 zenon_H33 zenon_H3c zenon_H32 zenon_H1a zenon_H15. % 1.14/1.32 apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H4b | zenon_intro zenon_H64 ]. % 1.14/1.32 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H65 | zenon_intro zenon_H96 ]. % 1.14/1.32 apply (zenon_L29_); trivial. % 1.14/1.32 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H7f | zenon_intro zenon_H31 ]. % 1.14/1.32 apply (zenon_L372_); trivial. % 1.14/1.32 apply (zenon_L37_); trivial. % 1.14/1.32 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H5f | zenon_intro zenon_H16 ]. % 1.14/1.32 apply (zenon_L26_); trivial. % 1.14/1.32 exact (zenon_H15 zenon_H16). % 1.14/1.32 (* end of lemma zenon_L373_ *) % 1.14/1.32 assert (zenon_L374_ : ((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37)))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c3_1 W)))))))) -> (c1_1 (a30)) -> (~(c2_1 (a30))) -> (~(c0_1 (a30))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(hskp0))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((hskp24)\/((hskp23)\/(hskp0))) -> (~(hskp0)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/(hskp13))) -> (~(hskp13)) -> (~(c2_1 (a16))) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp10)) -> (c0_1 (a31)) -> (c2_1 (a31)) -> (~(c1_1 (a31))) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> (~(hskp19)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> False). % 1.14/1.32 do 0 intro. intros zenon_H1d7 zenon_H9d zenon_H277 zenon_H203 zenon_H202 zenon_H201 zenon_H63 zenon_H149 zenon_H146 zenon_H93 zenon_H91 zenon_H95 zenon_Hd3 zenon_H17 zenon_H15 zenon_H1c1 zenon_H247 zenon_H5 zenon_He9 zenon_Hea zenon_Heb zenon_Hfc zenon_H1c2 zenon_H43 zenon_H2d zenon_H3c zenon_H33 zenon_H32 zenon_H254 zenon_H255 zenon_H256 zenon_H144 zenon_H14a zenon_H1ee zenon_H167 zenon_H48. % 1.14/1.32 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H1a. zenon_intro zenon_H1d8. % 1.14/1.32 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1d0. zenon_intro zenon_H1d9. % 1.14/1.32 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1ce. zenon_intro zenon_H1cf. % 1.14/1.32 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H13 | zenon_intro zenon_Ha1 ]. % 1.14/1.32 apply (zenon_L368_); trivial. % 1.14/1.32 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H1a. zenon_intro zenon_Ha2. % 1.14/1.32 apply (zenon_and_s _ _ zenon_Ha2). zenon_intro zenon_H4d. zenon_intro zenon_Ha3. % 1.14/1.32 apply (zenon_and_s _ _ zenon_Ha3). zenon_intro zenon_H4a. zenon_intro zenon_H4c. % 1.14/1.32 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H12c | zenon_intro zenon_H148 ]. % 1.14/1.32 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1be ]. % 1.14/1.32 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H4b | zenon_intro zenon_H278 ]. % 1.14/1.32 apply (zenon_L371_); trivial. % 1.14/1.32 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H1e7 | zenon_intro zenon_H69 ]. % 1.14/1.32 apply (zenon_L167_); trivial. % 1.14/1.32 apply (zenon_L373_); trivial. % 1.14/1.32 apply (zenon_L358_); trivial. % 1.14/1.32 apply (zenon_L319_); trivial. % 1.14/1.32 (* end of lemma zenon_L374_ *) % 1.14/1.32 assert (zenon_L375_ : ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c0_1 (a25)) -> (~(c3_1 (a25))) -> (forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37)))))) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (~(c2_1 (a16))) -> (forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14)))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> (c3_1 (a11)) -> (c0_1 (a11)) -> (ndr1_0) -> (~(hskp17)) -> (~(hskp18)) -> False). % 1.14/1.32 do 0 intro. intros zenon_Hfc zenon_H18f zenon_H18e zenon_H8e zenon_Heb zenon_Hea zenon_He9 zenon_Hf2 zenon_H12a zenon_H70 zenon_H9b zenon_H1a zenon_H9 zenon_H128. % 1.14/1.32 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfd ]. % 1.14/1.32 apply (zenon_L113_); trivial. % 1.14/1.32 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hf3 | zenon_intro zenon_Hcd ]. % 1.14/1.32 apply (zenon_L64_); trivial. % 1.14/1.32 apply (zenon_L353_); trivial. % 1.14/1.32 (* end of lemma zenon_L375_ *) % 1.14/1.32 assert (zenon_L376_ : ((ndr1_0)/\((c0_1 (a11))/\((c1_1 (a11))/\(c3_1 (a11))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (c3_1 (a33)) -> (c2_1 (a33)) -> (~(c0_1 (a33))) -> (~(hskp14)) -> (~(hskp2)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c0_1 (a25)) -> (~(c3_1 (a25))) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (~(c2_1 (a16))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> (~(hskp17)) -> (~(hskp18)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((hskp2)\/(hskp14))) -> (~(hskp11)) -> False). % 1.14/1.32 do 0 intro. intros zenon_H98 zenon_H93 zenon_H171 zenon_H16a zenon_H168 zenon_H100 zenon_Hfe zenon_Hfc zenon_H18f zenon_H18e zenon_Heb zenon_Hea zenon_He9 zenon_H12a zenon_H9 zenon_H128 zenon_H113 zenon_H91. % 1.14/1.32 apply (zenon_and_s _ _ zenon_H98). zenon_intro zenon_H1a. zenon_intro zenon_H99. % 1.14/1.32 apply (zenon_and_s _ _ zenon_H99). zenon_intro zenon_H9b. zenon_intro zenon_H9a. % 1.14/1.32 apply (zenon_and_s _ _ zenon_H9a). zenon_intro zenon_H6f. zenon_intro zenon_H70. % 1.14/1.32 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H49 | zenon_intro zenon_H94 ]. % 1.14/1.32 apply (zenon_L105_); trivial. % 1.14/1.32 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H8e | zenon_intro zenon_H92 ]. % 1.14/1.32 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_Hf2 | zenon_intro zenon_H114 ]. % 1.14/1.32 apply (zenon_L375_); trivial. % 1.14/1.32 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hff | zenon_intro zenon_H101 ]. % 1.14/1.32 exact (zenon_Hfe zenon_Hff). % 1.14/1.32 exact (zenon_H100 zenon_H101). % 1.14/1.32 exact (zenon_H91 zenon_H92). % 1.14/1.32 (* end of lemma zenon_L376_ *) % 1.14/1.32 assert (zenon_L377_ : ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> (~(hskp1)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> ((hskp25)\/((hskp17)\/(hskp21))) -> (~(hskp17)) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a11))/\((c1_1 (a11))/\(c3_1 (a11)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (~(c2_1 (a16))) -> (c0_1 (a25)) -> (~(c3_1 (a25))) -> (~(hskp2)) -> (~(hskp14)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((hskp2)\/(hskp14))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp27)\/(hskp26))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> False). % 1.14/1.32 do 0 intro. intros zenon_H17a zenon_H177 zenon_Hde zenon_H162 zenon_H166 zenon_H43 zenon_H2d zenon_H12a zenon_H130 zenon_H9 zenon_H254 zenon_H255 zenon_H256 zenon_H14a zenon_H167 zenon_H97 zenon_H93 zenon_H91 zenon_Hfc zenon_Heb zenon_Hea zenon_He9 zenon_H18f zenon_H18e zenon_Hfe zenon_H100 zenon_H113 zenon_H1f2 zenon_H1c1 zenon_H17b. % 1.14/1.32 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H128 | zenon_intro zenon_H17c ]. % 1.14/1.32 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.14/1.32 apply (zenon_L324_); trivial. % 1.14/1.32 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1a. zenon_intro zenon_H178. % 1.14/1.32 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H16a. zenon_intro zenon_H179. % 1.14/1.32 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H171. zenon_intro zenon_H168. % 1.14/1.32 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1be ]. % 1.14/1.32 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H98 ]. % 1.14/1.32 apply (zenon_L351_); trivial. % 1.14/1.32 apply (zenon_L376_); trivial. % 1.14/1.32 apply (zenon_L174_); trivial. % 1.14/1.32 apply (zenon_L327_); trivial. % 1.14/1.32 (* end of lemma zenon_L377_ *) % 1.14/1.32 assert (zenon_L378_ : ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> (c2_1 (a31)) -> (c0_1 (a31)) -> (forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))) -> (ndr1_0) -> (~(hskp26)) -> (~(hskp20)) -> False). % 1.14/1.32 do 0 intro. intros zenon_H1c6 zenon_H33 zenon_H3c zenon_Hcd zenon_H1a zenon_H1b3 zenon_H1c4. % 1.14/1.32 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H8e | zenon_intro zenon_H1c7 ]. % 1.14/1.32 apply (zenon_L116_); trivial. % 1.14/1.32 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H1b4 | zenon_intro zenon_H1c5 ]. % 1.14/1.32 exact (zenon_H1b3 zenon_H1b4). % 1.14/1.32 exact (zenon_H1c4 zenon_H1c5). % 1.14/1.32 (* end of lemma zenon_L378_ *) % 1.14/1.32 assert (zenon_L379_ : ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c2_1 (a31)) -> (c0_1 (a31)) -> (~(c1_1 (a31))) -> (c1_1 (a25)) -> (c0_1 (a25)) -> (~(c3_1 (a25))) -> (ndr1_0) -> (~(hskp26)) -> (~(hskp20)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> False). % 1.14/1.32 do 0 intro. intros zenon_Hd3 zenon_Hfc zenon_H33 zenon_H3c zenon_H32 zenon_H19a zenon_H18f zenon_H18e zenon_H1a zenon_H1b3 zenon_H1c4 zenon_H1c6. % 1.14/1.32 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_Had | zenon_intro zenon_Hcd ]. % 1.14/1.32 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H8e | zenon_intro zenon_H1c7 ]. % 1.14/1.32 apply (zenon_L115_); trivial. % 1.14/1.32 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H1b4 | zenon_intro zenon_H1c5 ]. % 1.14/1.32 exact (zenon_H1b3 zenon_H1b4). % 1.14/1.32 exact (zenon_H1c4 zenon_H1c5). % 1.14/1.32 apply (zenon_L378_); trivial. % 1.14/1.32 (* end of lemma zenon_L379_ *) % 1.14/1.32 assert (zenon_L380_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((hskp2)\/(hskp14))) -> (~(hskp14)) -> (~(hskp2)) -> (~(c2_1 (a16))) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> (~(hskp20)) -> (ndr1_0) -> (~(c3_1 (a25))) -> (c0_1 (a25)) -> (c1_1 (a25)) -> (~(c1_1 (a31))) -> (c0_1 (a31)) -> (c2_1 (a31)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> False). % 1.14/1.32 do 0 intro. intros zenon_H1c1 zenon_H113 zenon_H100 zenon_Hfe zenon_He9 zenon_Hea zenon_Heb zenon_H1c6 zenon_H1c4 zenon_H1a zenon_H18e zenon_H18f zenon_H19a zenon_H32 zenon_H3c zenon_H33 zenon_Hfc zenon_Hd3. % 1.14/1.32 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1be ]. % 1.14/1.32 apply (zenon_L379_); trivial. % 1.14/1.32 apply (zenon_L174_); trivial. % 1.14/1.32 (* end of lemma zenon_L380_ *) % 1.14/1.32 assert (zenon_L381_ : ((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (~(hskp10)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (c3_1 (a33)) -> (c2_1 (a33)) -> (~(c0_1 (a33))) -> (c0_1 (a31)) -> (c2_1 (a31)) -> (~(c1_1 (a31))) -> (~(hskp11)) -> False). % 1.14/1.32 do 0 intro. intros zenon_H1d7 zenon_H95 zenon_H2d zenon_H43 zenon_H93 zenon_H171 zenon_H16a zenon_H168 zenon_H3c zenon_H33 zenon_H32 zenon_H91. % 1.14/1.32 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H1a. zenon_intro zenon_H1d8. % 1.14/1.32 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1d0. zenon_intro zenon_H1d9. % 1.14/1.32 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1ce. zenon_intro zenon_H1cf. % 1.14/1.32 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H65 | zenon_intro zenon_H96 ]. % 1.14/1.32 apply (zenon_L107_); trivial. % 1.14/1.32 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H7f | zenon_intro zenon_H31 ]. % 1.14/1.32 apply (zenon_L144_); trivial. % 1.14/1.32 apply (zenon_L106_); trivial. % 1.14/1.32 (* end of lemma zenon_L381_ *) % 1.14/1.32 assert (zenon_L382_ : ((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(~(c3_1 (a25)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> (~(hskp13)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/(hskp13))) -> (~(hskp0)) -> ((hskp24)\/((hskp23)\/(hskp0))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(hskp0))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp27)\/(hskp26))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((hskp2)\/(hskp14))) -> (~(hskp14)) -> (~(hskp2)) -> (~(c2_1 (a16))) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(hskp11)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a11))/\((c1_1 (a11))/\(c3_1 (a11)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (~(c2_1 (a6))) -> ((hskp25)\/((hskp17)\/(hskp21))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> (~(hskp10)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> (~(hskp1)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> False). % 1.14/1.32 do 0 intro. intros zenon_H19f zenon_H9c zenon_H95 zenon_H1c6 zenon_Hd3 zenon_H48 zenon_H1ee zenon_H1c2 zenon_H5 zenon_H247 zenon_H15 zenon_H17 zenon_H63 zenon_H9d zenon_H1da zenon_H17b zenon_H1c1 zenon_H1f2 zenon_H113 zenon_H100 zenon_Hfe zenon_He9 zenon_Hea zenon_Heb zenon_Hfc zenon_H91 zenon_H93 zenon_H97 zenon_H167 zenon_H14a zenon_H256 zenon_H255 zenon_H254 zenon_H130 zenon_H12a zenon_H2d zenon_H43 zenon_H166 zenon_H162 zenon_Hde zenon_H177 zenon_H17a. % 1.14/1.32 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H1a. zenon_intro zenon_H1a0. % 1.14/1.32 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H18f. zenon_intro zenon_H1a1. % 1.14/1.32 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H19a. zenon_intro zenon_H18e. % 1.14/1.32 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.14/1.32 apply (zenon_L377_); trivial. % 1.14/1.32 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.14/1.32 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.14/1.32 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.14/1.32 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.14/1.32 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.14/1.32 apply (zenon_L380_); trivial. % 1.14/1.32 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H1a. zenon_intro zenon_H1d8. % 1.14/1.32 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1d0. zenon_intro zenon_H1d9. % 1.14/1.32 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1ce. zenon_intro zenon_H1cf. % 1.14/1.32 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H13 | zenon_intro zenon_Ha1 ]. % 1.14/1.32 apply (zenon_L368_); trivial. % 1.14/1.32 apply (zenon_L119_); trivial. % 1.14/1.32 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1a. zenon_intro zenon_H178. % 1.14/1.32 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H16a. zenon_intro zenon_H179. % 1.14/1.32 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H171. zenon_intro zenon_H168. % 1.14/1.32 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.14/1.32 apply (zenon_L380_); trivial. % 1.14/1.32 apply (zenon_L381_); trivial. % 1.14/1.32 (* end of lemma zenon_L382_ *) % 1.14/1.32 assert (zenon_L383_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp19)) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (~(c2_1 (a6))) -> (~(c1_1 (a31))) -> (c2_1 (a31)) -> (c0_1 (a31)) -> (~(hskp10)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(c3_1 (a22))) -> (~(c2_1 (a22))) -> (~(c0_1 (a22))) -> (~(hskp23)) -> (~(hskp0)) -> ((hskp24)\/((hskp23)\/(hskp0))) -> False). % 1.14/1.32 do 0 intro. intros zenon_H48 zenon_H1ee zenon_H14a zenon_H144 zenon_H256 zenon_H255 zenon_H254 zenon_H32 zenon_H33 zenon_H3c zenon_H2d zenon_H43 zenon_H81 zenon_H89 zenon_H80 zenon_H13 zenon_H15 zenon_H17. % 1.14/1.32 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H11 | zenon_intro zenon_H41 ]. % 1.14/1.32 apply (zenon_L12_); trivial. % 1.14/1.32 apply (zenon_L332_); trivial. % 1.14/1.32 (* end of lemma zenon_L383_ *) % 1.14/1.32 assert (zenon_L384_ : ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp15)) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> (~(c1_1 (a53))) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6)))))) -> (~(c0_1 (a53))) -> (c3_1 (a53)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (c0_1 (a31)) -> (c2_1 (a31)) -> (~(c1_1 (a31))) -> (ndr1_0) -> (forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10)))))) -> (~(hskp10)) -> False). % 1.14/1.33 do 0 intro. intros zenon_H43 zenon_H146 zenon_H254 zenon_H255 zenon_H256 zenon_H4c zenon_H65 zenon_H4a zenon_H4d zenon_H149 zenon_H3c zenon_H33 zenon_H32 zenon_H1a zenon_H3b zenon_H2d. % 1.14/1.33 apply (zenon_or_s _ _ zenon_H43); [ zenon_intro zenon_H1b | zenon_intro zenon_H47 ]. % 1.14/1.33 apply (zenon_L360_); trivial. % 1.14/1.33 apply (zenon_or_s _ _ zenon_H47); [ zenon_intro zenon_H31 | zenon_intro zenon_H2e ]. % 1.14/1.33 apply (zenon_L19_); trivial. % 1.14/1.33 exact (zenon_H2d zenon_H2e). % 1.14/1.33 (* end of lemma zenon_L384_ *) % 1.14/1.33 assert (zenon_L385_ : ((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c3_1 W)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> (~(hskp10)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> (~(c3_1 (a22))) -> (~(c2_1 (a22))) -> (~(c0_1 (a22))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(hskp0))) -> (~(hskp11)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(c0_1 (a30))) -> (~(c2_1 (a30))) -> (c1_1 (a30)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (c2_1 (a31)) -> (c0_1 (a31)) -> (~(c1_1 (a31))) -> (~(hskp0)) -> False). % 1.14/1.33 do 0 intro. intros zenon_Ha1 zenon_H277 zenon_H1ee zenon_H2d zenon_H149 zenon_H146 zenon_H43 zenon_H254 zenon_H255 zenon_H256 zenon_H81 zenon_H89 zenon_H80 zenon_H63 zenon_H91 zenon_H93 zenon_H201 zenon_H202 zenon_H203 zenon_H95 zenon_H33 zenon_H3c zenon_H32 zenon_H15. % 1.14/1.33 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H1a. zenon_intro zenon_Ha2. % 1.14/1.33 apply (zenon_and_s _ _ zenon_Ha2). zenon_intro zenon_H4d. zenon_intro zenon_Ha3. % 1.14/1.33 apply (zenon_and_s _ _ zenon_Ha3). zenon_intro zenon_H4a. zenon_intro zenon_H4c. % 1.14/1.33 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H4b | zenon_intro zenon_H278 ]. % 1.14/1.33 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H65 | zenon_intro zenon_H96 ]. % 1.14/1.33 apply (zenon_or_s _ _ zenon_H1ee); [ zenon_intro zenon_H1e7 | zenon_intro zenon_H1ef ]. % 1.14/1.33 apply (zenon_L221_); trivial. % 1.14/1.33 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H3b | zenon_intro zenon_H6d ]. % 1.14/1.33 apply (zenon_L384_); trivial. % 1.14/1.33 apply (zenon_L318_); trivial. % 1.14/1.33 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H7f | zenon_intro zenon_H31 ]. % 1.14/1.33 apply (zenon_L34_); trivial. % 1.14/1.33 apply (zenon_L37_); trivial. % 1.14/1.33 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H1e7 | zenon_intro zenon_H69 ]. % 1.14/1.33 apply (zenon_L221_); trivial. % 1.14/1.33 apply (zenon_L373_); trivial. % 1.14/1.33 (* end of lemma zenon_L385_ *) % 1.14/1.33 assert (zenon_L386_ : ((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (~(c2_1 (a6))) -> (~(hskp10)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(c3_1 (a22))) -> (~(c2_1 (a22))) -> (~(c0_1 (a22))) -> (~(hskp0)) -> ((hskp24)\/((hskp23)\/(hskp0))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (~(hskp11)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp15)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(hskp0))) -> (~(c0_1 (a30))) -> (~(c2_1 (a30))) -> (c1_1 (a30)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c3_1 W)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53))))))) -> False). % 1.14/1.33 do 0 intro. intros zenon_H9e zenon_H17b zenon_H48 zenon_H1ee zenon_H14a zenon_H256 zenon_H255 zenon_H254 zenon_H2d zenon_H43 zenon_H81 zenon_H89 zenon_H80 zenon_H15 zenon_H17 zenon_H95 zenon_H91 zenon_H93 zenon_H146 zenon_H149 zenon_H63 zenon_H201 zenon_H202 zenon_H203 zenon_H277 zenon_H9d. % 1.14/1.33 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.14/1.33 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.14/1.33 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.14/1.33 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.14/1.33 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H13 | zenon_intro zenon_Ha1 ]. % 1.14/1.33 apply (zenon_L383_); trivial. % 1.14/1.33 apply (zenon_L385_); trivial. % 1.14/1.33 apply (zenon_L335_); trivial. % 1.14/1.33 (* end of lemma zenon_L386_ *) % 1.14/1.33 assert (zenon_L387_ : ((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (~(c2_1 (a6))) -> (~(hskp10)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(c3_1 (a22))) -> (~(c2_1 (a22))) -> (~(c0_1 (a22))) -> (~(hskp0)) -> ((hskp24)\/((hskp23)\/(hskp0))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c1_1 (a25)) -> (c0_1 (a25)) -> (~(c3_1 (a25))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(hskp0))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53))))))) -> False). % 1.14/1.33 do 0 intro. intros zenon_H9e zenon_H17b zenon_H95 zenon_H48 zenon_H1ee zenon_H14a zenon_H256 zenon_H255 zenon_H254 zenon_H2d zenon_H43 zenon_H81 zenon_H89 zenon_H80 zenon_H15 zenon_H17 zenon_H93 zenon_H91 zenon_Hfc zenon_H19a zenon_H18f zenon_H18e zenon_Hd3 zenon_H63 zenon_H9d. % 1.14/1.33 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.14/1.33 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.14/1.33 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.14/1.33 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.14/1.33 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H13 | zenon_intro zenon_Ha1 ]. % 1.14/1.33 apply (zenon_L383_); trivial. % 1.14/1.33 apply (zenon_L119_); trivial. % 1.14/1.33 apply (zenon_L335_); trivial. % 1.14/1.33 (* end of lemma zenon_L387_ *) % 1.14/1.33 assert (zenon_L388_ : ((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(~(c3_1 (a25)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> (~(c3_1 (a22))) -> (~(c2_1 (a22))) -> (~(c0_1 (a22))) -> (~(hskp0)) -> ((hskp24)\/((hskp23)\/(hskp0))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(hskp0))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp27)\/(hskp26))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((hskp2)\/(hskp14))) -> (~(hskp14)) -> (~(hskp2)) -> (~(c2_1 (a16))) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(hskp11)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a11))/\((c1_1 (a11))/\(c3_1 (a11)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (~(c2_1 (a6))) -> ((hskp25)\/((hskp17)\/(hskp21))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> (~(hskp10)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> (~(hskp1)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> False). % 1.14/1.33 do 0 intro. intros zenon_H19f zenon_H9c zenon_H95 zenon_H48 zenon_H1ee zenon_H81 zenon_H89 zenon_H80 zenon_H15 zenon_H17 zenon_Hd3 zenon_H63 zenon_H9d zenon_H17b zenon_H1c1 zenon_H1f2 zenon_H113 zenon_H100 zenon_Hfe zenon_He9 zenon_Hea zenon_Heb zenon_Hfc zenon_H91 zenon_H93 zenon_H97 zenon_H167 zenon_H14a zenon_H256 zenon_H255 zenon_H254 zenon_H130 zenon_H12a zenon_H2d zenon_H43 zenon_H166 zenon_H162 zenon_Hde zenon_H177 zenon_H17a. % 1.14/1.33 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H1a. zenon_intro zenon_H1a0. % 1.14/1.33 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H18f. zenon_intro zenon_H1a1. % 1.14/1.33 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H19a. zenon_intro zenon_H18e. % 1.14/1.33 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.14/1.33 apply (zenon_L377_); trivial. % 1.14/1.33 apply (zenon_L387_); trivial. % 1.14/1.33 (* end of lemma zenon_L388_ *) % 1.14/1.33 assert (zenon_L389_ : (forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))) -> (ndr1_0) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6)))))) -> (~(c1_1 (a42))) -> (c2_1 (a42)) -> (c3_1 (a42)) -> False). % 1.14/1.33 do 0 intro. intros zenon_Hcd zenon_H1a zenon_H65 zenon_H158 zenon_H159 zenon_H15a. % 1.14/1.33 generalize (zenon_Hcd (a42)). zenon_intro zenon_H279. % 1.14/1.33 apply (zenon_imply_s _ _ zenon_H279); [ zenon_intro zenon_H19 | zenon_intro zenon_H27a ]. % 1.14/1.33 exact (zenon_H19 zenon_H1a). % 1.14/1.33 apply (zenon_or_s _ _ zenon_H27a); [ zenon_intro zenon_H27b | zenon_intro zenon_H15d ]. % 1.14/1.33 generalize (zenon_H65 (a42)). zenon_intro zenon_H27c. % 1.14/1.33 apply (zenon_imply_s _ _ zenon_H27c); [ zenon_intro zenon_H19 | zenon_intro zenon_H27d ]. % 1.14/1.33 exact (zenon_H19 zenon_H1a). % 1.14/1.33 apply (zenon_or_s _ _ zenon_H27d); [ zenon_intro zenon_H27f | zenon_intro zenon_H27e ]. % 1.14/1.33 exact (zenon_H27b zenon_H27f). % 1.14/1.33 apply (zenon_or_s _ _ zenon_H27e); [ zenon_intro zenon_H15e | zenon_intro zenon_H160 ]. % 1.14/1.33 exact (zenon_H158 zenon_H15e). % 1.14/1.33 exact (zenon_H160 zenon_H159). % 1.14/1.33 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H160 | zenon_intro zenon_H15f ]. % 1.14/1.33 exact (zenon_H160 zenon_H159). % 1.14/1.33 exact (zenon_H15f zenon_H15a). % 1.14/1.33 (* end of lemma zenon_L389_ *) % 1.14/1.33 assert (zenon_L390_ : ((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp19)) -> (~(c3_1 (a18))) -> (c2_1 (a18)) -> (c0_1 (a18)) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (~(c2_1 (a6))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (c1_1 (a37)) -> (~(c3_1 (a37))) -> (~(c0_1 (a37))) -> False). % 1.14/1.33 do 0 intro. intros zenon_H161 zenon_H95 zenon_H14a zenon_H144 zenon_Hc1 zenon_Hc2 zenon_He0 zenon_H256 zenon_H255 zenon_H254 zenon_Hd3 zenon_H1d0 zenon_H1cf zenon_H1ce. % 1.14/1.33 apply (zenon_and_s _ _ zenon_H161). zenon_intro zenon_H1a. zenon_intro zenon_H163. % 1.14/1.33 apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H159. zenon_intro zenon_H164. % 1.14/1.33 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H15a. zenon_intro zenon_H158. % 1.14/1.33 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H65 | zenon_intro zenon_H96 ]. % 1.14/1.33 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_Had | zenon_intro zenon_Hcd ]. % 1.14/1.33 apply (zenon_L337_); trivial. % 1.14/1.33 apply (zenon_L389_); trivial. % 1.14/1.33 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H7f | zenon_intro zenon_H31 ]. % 1.14/1.33 apply (zenon_L144_); trivial. % 1.14/1.33 apply (zenon_L88_); trivial. % 1.14/1.33 (* end of lemma zenon_L390_ *) % 1.14/1.33 assert (zenon_L391_ : ((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (~(c3_1 (a18))) -> (c2_1 (a18)) -> (c0_1 (a18)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((hskp25)\/((hskp17)\/(hskp21))) -> (~(hskp17)) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> (~(hskp19)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> False). % 1.14/1.33 do 0 intro. intros zenon_H1d7 zenon_H166 zenon_H95 zenon_Hc1 zenon_Hc2 zenon_He0 zenon_Hd3 zenon_H130 zenon_H9 zenon_H254 zenon_H255 zenon_H256 zenon_H144 zenon_H14a zenon_H167. % 1.14/1.33 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H1a. zenon_intro zenon_H1d8. % 1.14/1.33 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1d0. zenon_intro zenon_H1d9. % 1.14/1.33 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1ce. zenon_intro zenon_H1cf. % 1.14/1.33 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H12e | zenon_intro zenon_H161 ]. % 1.14/1.33 apply (zenon_L320_); trivial. % 1.14/1.33 apply (zenon_L390_); trivial. % 1.14/1.33 (* end of lemma zenon_L391_ *) % 1.14/1.33 assert (zenon_L392_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp11)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (ndr1_0) -> (~(c3_1 (a18))) -> (c0_1 (a18)) -> (c2_1 (a18)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> (~(hskp17)) -> ((hskp25)\/((hskp17)\/(hskp21))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> False). % 1.14/1.33 do 0 intro. intros zenon_H17b zenon_H93 zenon_H91 zenon_H1c1 zenon_Hd3 zenon_H254 zenon_H255 zenon_H256 zenon_H14a zenon_H1a zenon_Hc1 zenon_He0 zenon_Hc2 zenon_H1c6 zenon_H167 zenon_H9 zenon_H130 zenon_H95 zenon_H166 zenon_H1da. % 1.14/1.33 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.14/1.33 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.14/1.33 apply (zenon_L339_); trivial. % 1.14/1.33 apply (zenon_L391_); trivial. % 1.14/1.33 apply (zenon_L153_); trivial. % 1.14/1.33 (* end of lemma zenon_L392_ *) % 1.14/1.33 assert (zenon_L393_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a11))/\((c1_1 (a11))/\(c3_1 (a11)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp19)) -> (~(c3_1 (a18))) -> (c2_1 (a18)) -> (c0_1 (a18)) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (~(c2_1 (a6))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(c0_1 (a37))) -> (~(c3_1 (a37))) -> (~(hskp25)) -> (~(hskp26)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp27)\/(hskp12))) -> (~(hskp12)) -> (c3_1 (a53)) -> (~(c1_1 (a53))) -> (~(c0_1 (a53))) -> (ndr1_0) -> (~(c1_1 (a31))) -> (c0_1 (a31)) -> (c2_1 (a31)) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(hskp0))) -> False). % 1.14/1.33 do 0 intro. intros zenon_H97 zenon_H1ee zenon_H14a zenon_H144 zenon_Hc1 zenon_Hc2 zenon_He0 zenon_H256 zenon_H255 zenon_H254 zenon_Hd3 zenon_H1ce zenon_H1cf zenon_H12c zenon_H1b3 zenon_H1c2 zenon_H5d zenon_H5b zenon_H4d zenon_H4c zenon_H4a zenon_H1a zenon_H32 zenon_H3c zenon_H33 zenon_H15 zenon_H63. % 1.14/1.33 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H98 ]. % 1.14/1.33 apply (zenon_L27_); trivial. % 1.14/1.33 apply (zenon_L343_); trivial. % 1.14/1.33 (* end of lemma zenon_L393_ *) % 1.14/1.33 assert (zenon_L394_ : ((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a11))/\((c1_1 (a11))/\(c3_1 (a11)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp19)) -> (~(c3_1 (a18))) -> (c2_1 (a18)) -> (c0_1 (a18)) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (~(c2_1 (a6))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(c0_1 (a37))) -> (~(c3_1 (a37))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp27)\/(hskp12))) -> (~(hskp12)) -> (~(c1_1 (a31))) -> (c0_1 (a31)) -> (c2_1 (a31)) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(hskp0))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (~(c2_1 (a16))) -> (~(hskp2)) -> (~(hskp14)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((hskp2)\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> False). % 1.14/1.33 do 0 intro. intros zenon_Ha1 zenon_H167 zenon_H97 zenon_H1ee zenon_H14a zenon_H144 zenon_Hc1 zenon_Hc2 zenon_He0 zenon_H256 zenon_H255 zenon_H254 zenon_Hd3 zenon_H1ce zenon_H1cf zenon_H1c2 zenon_H5d zenon_H5b zenon_H32 zenon_H3c zenon_H33 zenon_H15 zenon_H63 zenon_Hfc zenon_Heb zenon_Hea zenon_He9 zenon_Hfe zenon_H100 zenon_H113 zenon_H1c1. % 1.14/1.33 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H1a. zenon_intro zenon_Ha2. % 1.14/1.33 apply (zenon_and_s _ _ zenon_Ha2). zenon_intro zenon_H4d. zenon_intro zenon_Ha3. % 1.14/1.33 apply (zenon_and_s _ _ zenon_Ha3). zenon_intro zenon_H4a. zenon_intro zenon_H4c. % 1.14/1.33 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H12c | zenon_intro zenon_H148 ]. % 1.14/1.33 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1be ]. % 1.14/1.33 apply (zenon_L393_); trivial. % 1.14/1.33 apply (zenon_L174_); trivial. % 1.14/1.33 apply (zenon_L319_); trivial. % 1.14/1.33 (* end of lemma zenon_L394_ *) % 1.14/1.33 assert (zenon_L395_ : ((ndr1_0)/\((~(c0_1 (a21)))/\((~(c1_1 (a21)))/\(~(c2_1 (a21)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((hskp25)\/((hskp17)\/(hskp21))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> (c2_1 (a18)) -> (c0_1 (a18)) -> (~(c3_1 (a18))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (~(c2_1 (a6))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> (~(hskp11)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> False). % 1.14/1.33 do 0 intro. intros zenon_H1fa zenon_H9c zenon_H63 zenon_H15 zenon_H1da zenon_H166 zenon_H95 zenon_H130 zenon_H167 zenon_H1c6 zenon_Hc2 zenon_He0 zenon_Hc1 zenon_H14a zenon_H256 zenon_H255 zenon_H254 zenon_Hd3 zenon_H1c1 zenon_H91 zenon_H93 zenon_H17b. % 1.14/1.33 apply (zenon_and_s _ _ zenon_H1fa). zenon_intro zenon_H1a. zenon_intro zenon_H1fb. % 1.14/1.33 apply (zenon_and_s _ _ zenon_H1fb). zenon_intro zenon_Ha4. zenon_intro zenon_H1fc. % 1.14/1.33 apply (zenon_and_s _ _ zenon_H1fc). zenon_intro zenon_Ha5. zenon_intro zenon_Ha6. % 1.14/1.33 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.14/1.33 apply (zenon_L392_); trivial. % 1.14/1.33 apply (zenon_L42_); trivial. % 1.14/1.33 (* end of lemma zenon_L395_ *) % 1.14/1.33 assert (zenon_L396_ : ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a21)))/\((~(c1_1 (a21)))/\(~(c2_1 (a21))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a30))/\((~(c0_1 (a30)))/\(~(c2_1 (a30))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp5))) -> (~(hskp5)) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a11))/\((c1_1 (a11))/\(c3_1 (a11)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp27)\/(hskp26))) -> (~(hskp0)) -> ((hskp24)\/((hskp23)\/(hskp0))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(hskp0))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp27)\/(hskp12))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((hskp25)\/((hskp17)\/(hskp21))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> (c2_1 (a18)) -> (c0_1 (a18)) -> (~(c3_1 (a18))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (~(c2_1 (a6))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(hskp11)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((hskp26)\/(hskp16))) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (~(c2_1 (a16))) -> (ndr1_0) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(hskp2)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((hskp2)\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> (~(hskp3)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp2)\/(hskp3))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a24))/\((~(c0_1 (a24)))/\(~(c1_1 (a24))))))) -> False). % 1.14/1.33 do 0 intro. intros zenon_H214 zenon_H20a zenon_H9c zenon_Hdc zenon_Hd4 zenon_H48 zenon_H97 zenon_H1ee zenon_H1c2 zenon_H1f2 zenon_H15 zenon_H17 zenon_H63 zenon_H5d zenon_H9d zenon_H1da zenon_H166 zenon_H95 zenon_H130 zenon_H167 zenon_H1c6 zenon_Hc2 zenon_He0 zenon_Hc1 zenon_H14a zenon_H256 zenon_H255 zenon_H254 zenon_Hd3 zenon_H91 zenon_H93 zenon_H17b zenon_H1ff zenon_Heb zenon_Hea zenon_He9 zenon_H1a zenon_Hfc zenon_Hfe zenon_H113 zenon_H1c1 zenon_H10b zenon_H10e zenon_H112. % 1.14/1.33 apply (zenon_or_s _ _ zenon_H214); [ zenon_intro zenon_H5b | zenon_intro zenon_H1fa ]. % 1.14/1.33 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_H100 | zenon_intro zenon_H10d ]. % 1.14/1.33 apply (zenon_or_s _ _ zenon_H20a); [ zenon_intro zenon_H1fd | zenon_intro zenon_H20b ]. % 1.14/1.33 apply (zenon_L196_); trivial. % 1.14/1.33 apply (zenon_and_s _ _ zenon_H20b). zenon_intro zenon_H1a. zenon_intro zenon_H20c. % 1.14/1.33 apply (zenon_and_s _ _ zenon_H20c). zenon_intro zenon_H203. zenon_intro zenon_H20d. % 1.14/1.33 apply (zenon_and_s _ _ zenon_H20d). zenon_intro zenon_H201. zenon_intro zenon_H202. % 1.14/1.33 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.14/1.33 apply (zenon_L392_); trivial. % 1.14/1.33 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.14/1.33 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.14/1.33 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.14/1.33 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.14/1.33 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.14/1.33 apply (zenon_L201_); trivial. % 1.14/1.33 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H1a. zenon_intro zenon_H1d8. % 1.14/1.33 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1d0. zenon_intro zenon_H1d9. % 1.14/1.33 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1ce. zenon_intro zenon_H1cf. % 1.14/1.33 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H13 | zenon_intro zenon_Ha1 ]. % 1.14/1.33 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H11 | zenon_intro zenon_H41 ]. % 1.14/1.33 apply (zenon_L12_); trivial. % 1.14/1.33 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H1a. zenon_intro zenon_H44. % 1.14/1.33 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H1d. zenon_intro zenon_H45. % 1.14/1.33 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H1e. zenon_intro zenon_H1f. % 1.14/1.33 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H12c | zenon_intro zenon_H148 ]. % 1.14/1.33 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1be ]. % 1.14/1.33 apply (zenon_L344_); trivial. % 1.14/1.33 apply (zenon_L174_); trivial. % 1.14/1.33 apply (zenon_L319_); trivial. % 1.14/1.33 apply (zenon_L394_); trivial. % 1.14/1.33 apply (zenon_L153_); trivial. % 1.14/1.33 apply (zenon_L71_); trivial. % 1.14/1.33 apply (zenon_L395_); trivial. % 1.14/1.33 (* end of lemma zenon_L396_ *) % 1.14/1.33 assert (zenon_L397_ : ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (~(hskp19)) -> (c1_1 (a3)) -> (c2_1 (a3)) -> (c3_1 (a3)) -> (~(c2_1 (a14))) -> (c3_1 (a14)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32)))))) -> (~(c2_1 (a6))) -> (ndr1_0) -> (~(hskp15)) -> False). % 1.14/1.33 do 0 intro. intros zenon_H149 zenon_H144 zenon_H1d zenon_H1e zenon_H1f zenon_H11f zenon_H121 zenon_H14a zenon_H256 zenon_H255 zenon_H1b zenon_H254 zenon_H1a zenon_H146. % 1.14/1.33 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H132 | zenon_intro zenon_H14d ]. % 1.14/1.33 apply (zenon_L95_); trivial. % 1.14/1.33 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H11e | zenon_intro zenon_H147 ]. % 1.14/1.33 apply (zenon_L321_); trivial. % 1.14/1.33 exact (zenon_H146 zenon_H147). % 1.14/1.33 (* end of lemma zenon_L397_ *) % 1.14/1.33 assert (zenon_L398_ : ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp15)) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c3_1 (a14)) -> (~(c2_1 (a14))) -> (c3_1 (a3)) -> (c2_1 (a3)) -> (c1_1 (a3)) -> (~(hskp19)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (~(hskp20)) -> (~(hskp26)) -> (ndr1_0) -> (~(c1_1 (a31))) -> (c2_1 (a31)) -> (c0_1 (a31)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> (~(hskp10)) -> False). % 1.14/1.33 do 0 intro. intros zenon_H43 zenon_H146 zenon_H254 zenon_H255 zenon_H256 zenon_H14a zenon_H121 zenon_H11f zenon_H1f zenon_H1e zenon_H1d zenon_H144 zenon_H149 zenon_H1c4 zenon_H1b3 zenon_H1a zenon_H32 zenon_H33 zenon_H3c zenon_H1c6 zenon_H2d. % 1.14/1.33 apply (zenon_or_s _ _ zenon_H43); [ zenon_intro zenon_H1b | zenon_intro zenon_H47 ]. % 1.14/1.33 apply (zenon_L397_); trivial. % 1.14/1.33 apply (zenon_or_s _ _ zenon_H47); [ zenon_intro zenon_H31 | zenon_intro zenon_H2e ]. % 1.14/1.33 apply (zenon_L141_); trivial. % 1.14/1.33 exact (zenon_H2d zenon_H2e). % 1.14/1.33 (* end of lemma zenon_L398_ *) % 1.14/1.33 assert (zenon_L399_ : (forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))) -> (ndr1_0) -> (c0_1 (a10)) -> (forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))) -> (c2_1 (a10)) -> (c3_1 (a10)) -> False). % 1.14/1.33 do 0 intro. intros zenon_H1c zenon_H1a zenon_H1b5 zenon_H31 zenon_H1b6 zenon_H1b7. % 1.14/1.33 generalize (zenon_H1c (a10)). zenon_intro zenon_H26b. % 1.14/1.33 apply (zenon_imply_s _ _ zenon_H26b); [ zenon_intro zenon_H19 | zenon_intro zenon_H26c ]. % 1.14/1.33 exact (zenon_H19 zenon_H1a). % 1.14/1.33 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H1bb | zenon_intro zenon_H26d ]. % 1.14/1.33 exact (zenon_H1bb zenon_H1b5). % 1.14/1.33 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H26e | zenon_intro zenon_H1bd ]. % 1.14/1.33 generalize (zenon_H31 (a10)). zenon_intro zenon_H280. % 1.14/1.33 apply (zenon_imply_s _ _ zenon_H280); [ zenon_intro zenon_H19 | zenon_intro zenon_H281 ]. % 1.14/1.33 exact (zenon_H19 zenon_H1a). % 1.14/1.33 apply (zenon_or_s _ _ zenon_H281); [ zenon_intro zenon_H26a | zenon_intro zenon_H1ba ]. % 1.14/1.33 exact (zenon_H26e zenon_H26a). % 1.14/1.33 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H1bd | zenon_intro zenon_H1bc ]. % 1.14/1.33 exact (zenon_H1bd zenon_H1b6). % 1.14/1.33 exact (zenon_H1bc zenon_H1b7). % 1.14/1.33 exact (zenon_H1bd zenon_H1b6). % 1.14/1.33 (* end of lemma zenon_L399_ *) % 1.14/1.33 assert (zenon_L400_ : ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (c3_1 (a3)) -> (c2_1 (a3)) -> (c1_1 (a3)) -> (c3_1 (a10)) -> (c2_1 (a10)) -> (c0_1 (a10)) -> (ndr1_0) -> (forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))) -> (~(hskp10)) -> False). % 1.14/1.33 do 0 intro. intros zenon_H43 zenon_H1f zenon_H1e zenon_H1d zenon_H1b7 zenon_H1b6 zenon_H1b5 zenon_H1a zenon_H1c zenon_H2d. % 1.14/1.33 apply (zenon_or_s _ _ zenon_H43); [ zenon_intro zenon_H1b | zenon_intro zenon_H47 ]. % 1.14/1.33 apply (zenon_L14_); trivial. % 1.14/1.33 apply (zenon_or_s _ _ zenon_H47); [ zenon_intro zenon_H31 | zenon_intro zenon_H2e ]. % 1.14/1.33 apply (zenon_L399_); trivial. % 1.14/1.33 exact (zenon_H2d zenon_H2e). % 1.14/1.33 (* end of lemma zenon_L400_ *) % 1.14/1.33 assert (zenon_L401_ : ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (~(hskp19)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (c3_1 (a3)) -> (c2_1 (a3)) -> (c1_1 (a3)) -> (c3_1 (a10)) -> (c2_1 (a10)) -> (c0_1 (a10)) -> (~(hskp10)) -> (~(c2_1 (a14))) -> (c3_1 (a14)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32)))))) -> (~(c2_1 (a6))) -> (ndr1_0) -> (~(hskp15)) -> False). % 1.14/1.33 do 0 intro. intros zenon_H149 zenon_H144 zenon_H43 zenon_H1f zenon_H1e zenon_H1d zenon_H1b7 zenon_H1b6 zenon_H1b5 zenon_H2d zenon_H11f zenon_H121 zenon_H14a zenon_H256 zenon_H255 zenon_H1b zenon_H254 zenon_H1a zenon_H146. % 1.14/1.33 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H132 | zenon_intro zenon_H14d ]. % 1.14/1.33 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_H6d | zenon_intro zenon_H14e ]. % 1.14/1.33 apply (zenon_L82_); trivial. % 1.14/1.33 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H1c | zenon_intro zenon_H145 ]. % 1.14/1.33 apply (zenon_L400_); trivial. % 1.14/1.33 exact (zenon_H144 zenon_H145). % 1.14/1.33 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H11e | zenon_intro zenon_H147 ]. % 1.14/1.33 apply (zenon_L321_); trivial. % 1.14/1.33 exact (zenon_H146 zenon_H147). % 1.14/1.33 (* end of lemma zenon_L401_ *) % 1.14/1.33 assert (zenon_L402_ : ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/(hskp13))) -> (forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36)))))) -> (c2_1 (a3)) -> (c3_1 (a3)) -> (c1_1 (a3)) -> (~(c2_1 (a14))) -> (c0_1 (a14)) -> (c3_1 (a14)) -> (~(hskp19)) -> (ndr1_0) -> (c0_1 (a10)) -> (c2_1 (a10)) -> (c3_1 (a10)) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp13)) -> False). % 1.14/1.33 do 0 intro. intros zenon_H247 zenon_H49 zenon_H1e zenon_H1f zenon_H1d zenon_H11f zenon_H120 zenon_H121 zenon_H144 zenon_H1a zenon_H1b5 zenon_H1b6 zenon_H1b7 zenon_H254 zenon_H255 zenon_H256 zenon_H14a zenon_H5. % 1.14/1.33 apply (zenon_or_s _ _ zenon_H247); [ zenon_intro zenon_Hf2 | zenon_intro zenon_H248 ]. % 1.14/1.33 apply (zenon_L111_); trivial. % 1.14/1.33 apply (zenon_or_s _ _ zenon_H248); [ zenon_intro zenon_H243 | zenon_intro zenon_H6 ]. % 1.14/1.33 apply (zenon_L365_); trivial. % 1.14/1.33 exact (zenon_H5 zenon_H6). % 1.14/1.33 (* end of lemma zenon_L402_ *) % 1.14/1.33 assert (zenon_L403_ : ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp13)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (~(c2_1 (a6))) -> (c3_1 (a10)) -> (c2_1 (a10)) -> (c0_1 (a10)) -> (~(hskp19)) -> (c3_1 (a14)) -> (c0_1 (a14)) -> (~(c2_1 (a14))) -> (c1_1 (a3)) -> (c3_1 (a3)) -> (c2_1 (a3)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/(hskp13))) -> (c0_1 (a31)) -> (c2_1 (a31)) -> (~(c1_1 (a31))) -> (forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))) -> (ndr1_0) -> (~(hskp11)) -> False). % 1.14/1.33 do 0 intro. intros zenon_H93 zenon_H5 zenon_H14a zenon_H256 zenon_H255 zenon_H254 zenon_H1b7 zenon_H1b6 zenon_H1b5 zenon_H144 zenon_H121 zenon_H120 zenon_H11f zenon_H1d zenon_H1f zenon_H1e zenon_H247 zenon_H3c zenon_H33 zenon_H32 zenon_H31 zenon_H1a zenon_H91. % 1.14/1.33 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H49 | zenon_intro zenon_H94 ]. % 1.14/1.33 apply (zenon_L402_); trivial. % 1.14/1.33 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H8e | zenon_intro zenon_H92 ]. % 1.14/1.33 apply (zenon_L35_); trivial. % 1.14/1.33 exact (zenon_H91 zenon_H92). % 1.14/1.33 (* end of lemma zenon_L403_ *) % 1.14/1.33 assert (zenon_L404_ : ((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10))))) -> (~(hskp15)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (~(hskp11)) -> (~(c1_1 (a31))) -> (c2_1 (a31)) -> (c0_1 (a31)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/(hskp13))) -> (c2_1 (a3)) -> (c3_1 (a3)) -> (c1_1 (a3)) -> (~(c2_1 (a14))) -> (c0_1 (a14)) -> (c3_1 (a14)) -> (~(hskp19)) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp13)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp10)) -> False). % 1.14/1.33 do 0 intro. intros zenon_H1be zenon_H146 zenon_H43 zenon_H149 zenon_H91 zenon_H32 zenon_H33 zenon_H3c zenon_H247 zenon_H1e zenon_H1f zenon_H1d zenon_H11f zenon_H120 zenon_H121 zenon_H144 zenon_H254 zenon_H255 zenon_H256 zenon_H14a zenon_H5 zenon_H93 zenon_H2d. % 1.14/1.33 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H1a. zenon_intro zenon_H1bf. % 1.14/1.33 apply (zenon_and_s _ _ zenon_H1bf). zenon_intro zenon_H1b5. zenon_intro zenon_H1c0. % 1.14/1.33 apply (zenon_and_s _ _ zenon_H1c0). zenon_intro zenon_H1b6. zenon_intro zenon_H1b7. % 1.14/1.33 apply (zenon_or_s _ _ zenon_H43); [ zenon_intro zenon_H1b | zenon_intro zenon_H47 ]. % 1.14/1.33 apply (zenon_L401_); trivial. % 1.14/1.33 apply (zenon_or_s _ _ zenon_H47); [ zenon_intro zenon_H31 | zenon_intro zenon_H2e ]. % 1.14/1.33 apply (zenon_L403_); trivial. % 1.14/1.33 exact (zenon_H2d zenon_H2e). % 1.14/1.33 (* end of lemma zenon_L404_ *) % 1.14/1.33 assert (zenon_L405_ : ((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/(hskp13))) -> (~(hskp13)) -> (c0_1 (a14)) -> (~(hskp11)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (~(hskp15)) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (~(c2_1 (a6))) -> (~(c2_1 (a14))) -> (c3_1 (a14)) -> (~(hskp19)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> (~(hskp20)) -> (c0_1 (a31)) -> (c2_1 (a31)) -> (~(c1_1 (a31))) -> (~(hskp10)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> False). % 1.14/1.33 do 0 intro. intros zenon_H41 zenon_H1c1 zenon_H247 zenon_H5 zenon_H120 zenon_H91 zenon_H93 zenon_H149 zenon_H146 zenon_H256 zenon_H255 zenon_H254 zenon_H11f zenon_H121 zenon_H144 zenon_H14a zenon_H1c6 zenon_H1c4 zenon_H3c zenon_H33 zenon_H32 zenon_H2d zenon_H43. % 1.14/1.33 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H1a. zenon_intro zenon_H44. % 1.14/1.33 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H1d. zenon_intro zenon_H45. % 1.14/1.33 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H1e. zenon_intro zenon_H1f. % 1.14/1.33 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1be ]. % 1.14/1.33 apply (zenon_L398_); trivial. % 1.14/1.33 apply (zenon_L404_); trivial. % 1.14/1.33 (* end of lemma zenon_L405_ *) % 1.14/1.33 assert (zenon_L406_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/(hskp13))) -> (~(hskp13)) -> (c0_1 (a14)) -> (~(hskp11)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (~(hskp15)) -> (~(c2_1 (a14))) -> (c3_1 (a14)) -> (~(hskp19)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> (~(hskp20)) -> (c0_1 (a31)) -> (c2_1 (a31)) -> (~(c1_1 (a31))) -> (~(hskp10)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (ndr1_0) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> (~(hskp9)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((hskp9)\/(hskp24))) -> False). % 1.14/1.33 do 0 intro. intros zenon_H48 zenon_H1c1 zenon_H247 zenon_H5 zenon_H120 zenon_H91 zenon_H93 zenon_H149 zenon_H146 zenon_H11f zenon_H121 zenon_H144 zenon_H14a zenon_H1c6 zenon_H1c4 zenon_H3c zenon_H33 zenon_H32 zenon_H2d zenon_H43 zenon_H1a zenon_H254 zenon_H255 zenon_H256 zenon_H3 zenon_H7b. % 1.14/1.33 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H11 | zenon_intro zenon_H41 ]. % 1.14/1.33 apply (zenon_L329_); trivial. % 1.14/1.33 apply (zenon_L405_); trivial. % 1.14/1.33 (* end of lemma zenon_L406_ *) % 1.14/1.33 assert (zenon_L407_ : ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp15)) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c3_1 (a14)) -> (~(c2_1 (a14))) -> (c3_1 (a3)) -> (c2_1 (a3)) -> (c1_1 (a3)) -> (~(hskp19)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (c0_1 (a31)) -> (c2_1 (a31)) -> (~(c1_1 (a31))) -> (ndr1_0) -> (forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10)))))) -> (~(hskp10)) -> False). % 1.14/1.33 do 0 intro. intros zenon_H43 zenon_H146 zenon_H254 zenon_H255 zenon_H256 zenon_H14a zenon_H121 zenon_H11f zenon_H1f zenon_H1e zenon_H1d zenon_H144 zenon_H149 zenon_H3c zenon_H33 zenon_H32 zenon_H1a zenon_H3b zenon_H2d. % 1.14/1.33 apply (zenon_or_s _ _ zenon_H43); [ zenon_intro zenon_H1b | zenon_intro zenon_H47 ]. % 1.14/1.33 apply (zenon_L397_); trivial. % 1.14/1.33 apply (zenon_or_s _ _ zenon_H47); [ zenon_intro zenon_H31 | zenon_intro zenon_H2e ]. % 1.14/1.33 apply (zenon_L19_); trivial. % 1.14/1.33 exact (zenon_H2d zenon_H2e). % 1.14/1.33 (* end of lemma zenon_L407_ *) % 1.14/1.33 assert (zenon_L408_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> (~(hskp26)) -> (~(hskp25)) -> (~(c0_1 (a37))) -> (~(c3_1 (a37))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> (~(hskp10)) -> (~(c1_1 (a31))) -> (c2_1 (a31)) -> (c0_1 (a31)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (~(hskp19)) -> (c1_1 (a3)) -> (c2_1 (a3)) -> (c3_1 (a3)) -> (~(c2_1 (a14))) -> (c3_1 (a14)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp15)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (ndr1_0) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> False). % 1.14/1.33 do 0 intro. intros zenon_H1ee zenon_H1b3 zenon_H12c zenon_H1ce zenon_H1cf zenon_H1c2 zenon_H2d zenon_H32 zenon_H33 zenon_H3c zenon_H149 zenon_H144 zenon_H1d zenon_H1e zenon_H1f zenon_H11f zenon_H121 zenon_H14a zenon_H146 zenon_H43 zenon_H1a zenon_H254 zenon_H255 zenon_H256. % 1.14/1.33 apply (zenon_or_s _ _ zenon_H1ee); [ zenon_intro zenon_H1e7 | zenon_intro zenon_H1ef ]. % 1.14/1.33 apply (zenon_L167_); trivial. % 1.14/1.33 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H3b | zenon_intro zenon_H6d ]. % 1.14/1.33 apply (zenon_L407_); trivial. % 1.14/1.33 apply (zenon_L318_); trivial. % 1.14/1.33 (* end of lemma zenon_L408_ *) % 1.14/1.33 assert (zenon_L409_ : ((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (~(hskp15)) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (~(c2_1 (a6))) -> (~(c2_1 (a14))) -> (c3_1 (a14)) -> (~(hskp19)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(c1_1 (a31))) -> (c2_1 (a31)) -> (c0_1 (a31)) -> (~(hskp10)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(c0_1 (a37))) -> (~(c3_1 (a37))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp11)) -> (c0_1 (a14)) -> (~(hskp13)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/(hskp13))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> False). % 1.14/1.33 do 0 intro. intros zenon_H41 zenon_H167 zenon_H1ee zenon_H149 zenon_H146 zenon_H256 zenon_H255 zenon_H254 zenon_H11f zenon_H121 zenon_H144 zenon_H14a zenon_H32 zenon_H33 zenon_H3c zenon_H2d zenon_H43 zenon_H1ce zenon_H1cf zenon_H1c2 zenon_H93 zenon_H91 zenon_H120 zenon_H5 zenon_H247 zenon_H1c1. % 1.14/1.33 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H1a. zenon_intro zenon_H44. % 1.14/1.33 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H1d. zenon_intro zenon_H45. % 1.14/1.33 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H1e. zenon_intro zenon_H1f. % 1.14/1.33 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H12c | zenon_intro zenon_H148 ]. % 1.14/1.33 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1be ]. % 1.14/1.33 apply (zenon_L408_); trivial. % 1.14/1.33 apply (zenon_L404_); trivial. % 1.14/1.33 apply (zenon_L86_); trivial. % 1.14/1.33 (* end of lemma zenon_L409_ *) % 1.14/1.33 assert (zenon_L410_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((hskp9)\/(hskp24))) -> (~(hskp9)) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (~(c2_1 (a6))) -> (ndr1_0) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp10)) -> (~(c1_1 (a31))) -> (c2_1 (a31)) -> (c0_1 (a31)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp19)) -> (c3_1 (a14)) -> (~(c2_1 (a14))) -> (~(hskp15)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp11)) -> (c0_1 (a14)) -> (~(hskp13)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/(hskp13))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> False). % 1.14/1.33 do 0 intro. intros zenon_H1da zenon_H167 zenon_H1ee zenon_H1c2 zenon_H7b zenon_H3 zenon_H256 zenon_H255 zenon_H254 zenon_H1a zenon_H43 zenon_H2d zenon_H32 zenon_H33 zenon_H3c zenon_H1c6 zenon_H14a zenon_H144 zenon_H121 zenon_H11f zenon_H146 zenon_H149 zenon_H93 zenon_H91 zenon_H120 zenon_H5 zenon_H247 zenon_H1c1 zenon_H48. % 1.14/1.33 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.14/1.33 apply (zenon_L406_); trivial. % 1.14/1.33 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H1a. zenon_intro zenon_H1d8. % 1.14/1.33 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1d0. zenon_intro zenon_H1d9. % 1.14/1.33 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1ce. zenon_intro zenon_H1cf. % 1.14/1.33 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H11 | zenon_intro zenon_H41 ]. % 1.14/1.33 apply (zenon_L329_); trivial. % 1.14/1.33 apply (zenon_L409_); trivial. % 1.14/1.33 (* end of lemma zenon_L410_ *) % 1.14/1.33 assert (zenon_L411_ : ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (~(c2_1 (a6))) -> ((hskp25)\/((hskp17)\/(hskp21))) -> (~(hskp1)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> (ndr1_0) -> (~(c2_1 (a14))) -> (c0_1 (a14)) -> (c3_1 (a14)) -> (~(hskp17)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> False). % 1.14/1.33 do 0 intro. intros zenon_H17a zenon_H17b zenon_H177 zenon_H167 zenon_H14a zenon_H256 zenon_H255 zenon_H254 zenon_H130 zenon_Hde zenon_H162 zenon_H166 zenon_H1a zenon_H11f zenon_H120 zenon_H121 zenon_H9 zenon_H12a. % 1.14/1.33 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H128 | zenon_intro zenon_H17c ]. % 1.14/1.33 apply (zenon_L78_); trivial. % 1.14/1.33 apply (zenon_L327_); trivial. % 1.14/1.33 (* end of lemma zenon_L411_ *) % 1.14/1.33 assert (zenon_L412_ : ((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp13)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (~(c2_1 (a6))) -> (~(hskp19)) -> (c3_1 (a14)) -> (c0_1 (a14)) -> (~(c2_1 (a14))) -> (c1_1 (a3)) -> (c3_1 (a3)) -> (c2_1 (a3)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/(hskp13))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c2_1 (a31)) -> (c0_1 (a31)) -> (~(c1_1 (a31))) -> (c1_1 (a25)) -> (c0_1 (a25)) -> (~(c3_1 (a25))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(hskp11)) -> False). % 1.14/1.33 do 0 intro. intros zenon_H1be zenon_H93 zenon_H5 zenon_H14a zenon_H256 zenon_H255 zenon_H254 zenon_H144 zenon_H121 zenon_H120 zenon_H11f zenon_H1d zenon_H1f zenon_H1e zenon_H247 zenon_Hfc zenon_H33 zenon_H3c zenon_H32 zenon_H19a zenon_H18f zenon_H18e zenon_Hd3 zenon_H91. % 1.14/1.33 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H1a. zenon_intro zenon_H1bf. % 1.14/1.33 apply (zenon_and_s _ _ zenon_H1bf). zenon_intro zenon_H1b5. zenon_intro zenon_H1c0. % 1.14/1.33 apply (zenon_and_s _ _ zenon_H1c0). zenon_intro zenon_H1b6. zenon_intro zenon_H1b7. % 1.14/1.33 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H49 | zenon_intro zenon_H94 ]. % 1.14/1.33 apply (zenon_L402_); trivial. % 1.14/1.33 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H8e | zenon_intro zenon_H92 ]. % 1.14/1.33 apply (zenon_L117_); trivial. % 1.14/1.33 exact (zenon_H91 zenon_H92). % 1.14/1.33 (* end of lemma zenon_L412_ *) % 1.14/1.33 assert (zenon_L413_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp19)) -> (c3_1 (a14)) -> (c0_1 (a14)) -> (~(c2_1 (a14))) -> (~(hskp13)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/(hskp13))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> (~(hskp20)) -> (~(c3_1 (a25))) -> (c0_1 (a25)) -> (c1_1 (a25)) -> (~(c1_1 (a31))) -> (c0_1 (a31)) -> (c2_1 (a31)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (ndr1_0) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> (~(hskp9)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((hskp9)\/(hskp24))) -> False). % 1.14/1.33 do 0 intro. intros zenon_H48 zenon_H1c1 zenon_H93 zenon_H91 zenon_H14a zenon_H144 zenon_H121 zenon_H120 zenon_H11f zenon_H5 zenon_H247 zenon_H1c6 zenon_H1c4 zenon_H18e zenon_H18f zenon_H19a zenon_H32 zenon_H3c zenon_H33 zenon_Hfc zenon_Hd3 zenon_H1a zenon_H254 zenon_H255 zenon_H256 zenon_H3 zenon_H7b. % 1.14/1.33 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H11 | zenon_intro zenon_H41 ]. % 1.14/1.33 apply (zenon_L329_); trivial. % 1.14/1.33 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H1a. zenon_intro zenon_H44. % 1.14/1.33 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H1d. zenon_intro zenon_H45. % 1.14/1.33 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H1e. zenon_intro zenon_H1f. % 1.14/1.33 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1be ]. % 1.14/1.33 apply (zenon_L379_); trivial. % 1.14/1.33 apply (zenon_L412_); trivial. % 1.14/1.33 (* end of lemma zenon_L413_ *) % 1.14/1.33 assert (zenon_L414_ : ((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> (~(c3_1 (a22))) -> (~(c2_1 (a22))) -> (~(c0_1 (a22))) -> (~(hskp10)) -> (~(c1_1 (a31))) -> (c2_1 (a31)) -> (c0_1 (a31)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (~(hskp19)) -> (~(c2_1 (a14))) -> (c3_1 (a14)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp15)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> False). % 1.14/1.33 do 0 intro. intros zenon_H41 zenon_H1ee zenon_H81 zenon_H89 zenon_H80 zenon_H2d zenon_H32 zenon_H33 zenon_H3c zenon_H149 zenon_H144 zenon_H11f zenon_H121 zenon_H14a zenon_H146 zenon_H43 zenon_H254 zenon_H255 zenon_H256. % 1.14/1.33 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H1a. zenon_intro zenon_H44. % 1.14/1.33 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H1d. zenon_intro zenon_H45. % 1.14/1.33 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H1e. zenon_intro zenon_H1f. % 1.14/1.33 apply (zenon_or_s _ _ zenon_H1ee); [ zenon_intro zenon_H1e7 | zenon_intro zenon_H1ef ]. % 1.14/1.33 apply (zenon_L221_); trivial. % 1.14/1.33 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H3b | zenon_intro zenon_H6d ]. % 1.14/1.33 apply (zenon_L407_); trivial. % 1.14/1.33 apply (zenon_L318_); trivial. % 1.14/1.33 (* end of lemma zenon_L414_ *) % 1.14/1.33 assert (zenon_L415_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((hskp9)\/(hskp24))) -> (~(hskp9)) -> (~(c0_1 (a22))) -> (~(c2_1 (a22))) -> (~(c3_1 (a22))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp10)) -> (~(hskp15)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> (c3_1 (a14)) -> (c0_1 (a14)) -> (~(c2_1 (a14))) -> (ndr1_0) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> (~(hskp1)) -> ((hskp25)\/((hskp17)\/(hskp21))) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> False). % 1.14/1.33 do 0 intro. intros zenon_H9c zenon_H63 zenon_H15 zenon_H93 zenon_H91 zenon_H95 zenon_H7b zenon_H3 zenon_H80 zenon_H89 zenon_H81 zenon_H43 zenon_H2d zenon_H146 zenon_H149 zenon_H1ee zenon_H48 zenon_H12a zenon_H121 zenon_H120 zenon_H11f zenon_H1a zenon_H166 zenon_H162 zenon_Hde zenon_H130 zenon_H254 zenon_H255 zenon_H256 zenon_H14a zenon_H167 zenon_H177 zenon_H17b zenon_H17a. % 1.14/1.33 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.14/1.33 apply (zenon_L411_); trivial. % 1.14/1.33 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.14/1.33 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.14/1.33 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.14/1.33 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.14/1.33 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H11 | zenon_intro zenon_H41 ]. % 1.14/1.33 apply (zenon_L329_); trivial. % 1.14/1.33 apply (zenon_L414_); trivial. % 1.14/1.33 apply (zenon_L335_); trivial. % 1.14/1.33 (* end of lemma zenon_L415_ *) % 1.14/1.33 assert (zenon_L416_ : ((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(~(c3_1 (a25)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> (~(c3_1 (a22))) -> (~(c2_1 (a22))) -> (~(c0_1 (a22))) -> (~(hskp0)) -> ((hskp24)\/((hskp23)\/(hskp0))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(hskp0))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp8)\/(hskp9))) -> (~(hskp9)) -> (~(hskp8)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (~(c2_1 (a6))) -> ((hskp25)\/((hskp17)\/(hskp21))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> (~(hskp10)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> (~(hskp1)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> False). % 1.14/1.33 do 0 intro. intros zenon_H19f zenon_H9c zenon_H95 zenon_H48 zenon_H1ee zenon_H81 zenon_H89 zenon_H80 zenon_H15 zenon_H17 zenon_H93 zenon_H91 zenon_Hfc zenon_Hd3 zenon_H63 zenon_H9d zenon_H17b zenon_H1a3 zenon_H3 zenon_Hb zenon_H167 zenon_H14a zenon_H256 zenon_H255 zenon_H254 zenon_H130 zenon_H12a zenon_H2d zenon_H43 zenon_H166 zenon_H162 zenon_Hde zenon_H177 zenon_H17a. % 1.14/1.33 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H1a. zenon_intro zenon_H1a0. % 1.14/1.33 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H18f. zenon_intro zenon_H1a1. % 1.14/1.33 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H19a. zenon_intro zenon_H18e. % 1.14/1.33 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.14/1.33 apply (zenon_L328_); trivial. % 1.14/1.33 apply (zenon_L387_); trivial. % 1.14/1.33 (* end of lemma zenon_L416_ *) % 1.14/1.33 assert (zenon_L417_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (c2_1 (a19)) -> (~(c3_1 (a19))) -> (~(c1_1 (a19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> (~(hskp25)) -> (~(c3_1 (a37))) -> (~(c0_1 (a37))) -> (ndr1_0) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp10)) -> (c0_1 (a31)) -> (c2_1 (a31)) -> (~(c1_1 (a31))) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> (c1_1 (a3)) -> (c2_1 (a3)) -> (c3_1 (a3)) -> (~(hskp19)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> False). % 1.14/1.33 do 0 intro. intros zenon_H1c1 zenon_Hd3 zenon_Hb0 zenon_Haf zenon_Hae zenon_H1c2 zenon_H12c zenon_H1cf zenon_H1ce zenon_H1a zenon_H43 zenon_H2d zenon_H3c zenon_H33 zenon_H32 zenon_H254 zenon_H255 zenon_H256 zenon_H1d zenon_H1e zenon_H1f zenon_H144 zenon_H14a zenon_H1ee. % 1.14/1.33 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1be ]. % 1.14/1.33 apply (zenon_L363_); trivial. % 1.14/1.33 apply (zenon_L134_); trivial. % 1.14/1.33 (* end of lemma zenon_L417_ *) % 1.14/1.33 assert (zenon_L418_ : ((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp19)) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (~(c2_1 (a6))) -> (~(c1_1 (a31))) -> (c2_1 (a31)) -> (c0_1 (a31)) -> (~(hskp10)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(c0_1 (a37))) -> (~(c3_1 (a37))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> (~(c1_1 (a19))) -> (~(c3_1 (a19))) -> (c2_1 (a19)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> False). % 1.14/1.33 do 0 intro. intros zenon_H41 zenon_H167 zenon_H1ee zenon_H14a zenon_H144 zenon_H256 zenon_H255 zenon_H254 zenon_H32 zenon_H33 zenon_H3c zenon_H2d zenon_H43 zenon_H1ce zenon_H1cf zenon_H1c2 zenon_Hae zenon_Haf zenon_Hb0 zenon_Hd3 zenon_H1c1. % 1.14/1.33 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H1a. zenon_intro zenon_H44. % 1.14/1.33 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H1d. zenon_intro zenon_H45. % 1.14/1.33 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H1e. zenon_intro zenon_H1f. % 1.14/1.33 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H12c | zenon_intro zenon_H148 ]. % 1.14/1.33 apply (zenon_L417_); trivial. % 1.14/1.33 apply (zenon_L319_); trivial. % 1.14/1.33 (* end of lemma zenon_L418_ *) % 1.14/1.33 assert (zenon_L419_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp19)) -> (~(hskp10)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> (~(hskp9)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((hskp9)\/(hskp24))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> (~(hskp1)) -> (~(c1_1 (a31))) -> (c2_1 (a31)) -> (c0_1 (a31)) -> (ndr1_0) -> (~(c3_1 (a19))) -> (~(c1_1 (a19))) -> (c2_1 (a19)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> False). % 1.14/1.33 do 0 intro. intros zenon_H1da zenon_H48 zenon_H167 zenon_H1ee zenon_H14a zenon_H144 zenon_H2d zenon_H43 zenon_H1c2 zenon_H254 zenon_H255 zenon_H256 zenon_H3 zenon_H7b zenon_H162 zenon_Hde zenon_H32 zenon_H33 zenon_H3c zenon_H1a zenon_Haf zenon_Hae zenon_Hb0 zenon_H1c6 zenon_Hd3 zenon_H1c1. % 1.14/1.33 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.14/1.33 apply (zenon_L142_); trivial. % 1.14/1.33 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H1a. zenon_intro zenon_H1d8. % 1.14/1.33 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1d0. zenon_intro zenon_H1d9. % 1.14/1.33 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1ce. zenon_intro zenon_H1cf. % 1.14/1.33 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H11 | zenon_intro zenon_H41 ]. % 1.14/1.33 apply (zenon_L329_); trivial. % 1.14/1.33 apply (zenon_L418_); trivial. % 1.14/1.33 (* end of lemma zenon_L419_ *) % 1.14/1.33 assert (zenon_L420_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/(hskp13))) -> (~(hskp13)) -> (c0_1 (a14)) -> (~(hskp11)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (~(hskp15)) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (~(c2_1 (a6))) -> (~(c2_1 (a14))) -> (c3_1 (a14)) -> (~(hskp19)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> (~(hskp20)) -> (c0_1 (a31)) -> (c2_1 (a31)) -> (~(c1_1 (a31))) -> (~(hskp10)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp23)) -> (~(hskp0)) -> ((hskp24)\/((hskp23)\/(hskp0))) -> False). % 1.14/1.33 do 0 intro. intros zenon_H48 zenon_H1c1 zenon_H247 zenon_H5 zenon_H120 zenon_H91 zenon_H93 zenon_H149 zenon_H146 zenon_H256 zenon_H255 zenon_H254 zenon_H11f zenon_H121 zenon_H144 zenon_H14a zenon_H1c6 zenon_H1c4 zenon_H3c zenon_H33 zenon_H32 zenon_H2d zenon_H43 zenon_H13 zenon_H15 zenon_H17. % 1.14/1.33 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H11 | zenon_intro zenon_H41 ]. % 1.14/1.33 apply (zenon_L12_); trivial. % 1.14/1.33 apply (zenon_L405_); trivial. % 1.14/1.33 (* end of lemma zenon_L420_ *) % 1.14/1.33 assert (zenon_L421_ : ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp2)\/(hskp3))) -> (~(hskp10)) -> (forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10)))))) -> (ndr1_0) -> (~(c1_1 (a31))) -> (c2_1 (a31)) -> (c0_1 (a31)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (c3_1 (a53)) -> (~(c0_1 (a53))) -> (~(c1_1 (a53))) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (~(c2_1 (a6))) -> (~(hskp15)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp2)) -> (~(hskp3)) -> False). % 1.14/1.33 do 0 intro. intros zenon_H10e zenon_H2d zenon_H3b zenon_H1a zenon_H32 zenon_H33 zenon_H3c zenon_H149 zenon_H4d zenon_H4a zenon_H4c zenon_H256 zenon_H255 zenon_H254 zenon_H146 zenon_H43 zenon_Hfe zenon_H10b. % 1.14/1.33 apply (zenon_or_s _ _ zenon_H10e); [ zenon_intro zenon_H65 | zenon_intro zenon_H111 ]. % 1.14/1.33 apply (zenon_L384_); trivial. % 1.14/1.33 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hff | zenon_intro zenon_H10c ]. % 1.14/1.33 exact (zenon_Hfe zenon_Hff). % 1.14/1.33 exact (zenon_H10b zenon_H10c). % 1.14/1.33 (* end of lemma zenon_L421_ *) % 1.14/1.33 assert (zenon_L422_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (~(hskp15)) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (~(c2_1 (a6))) -> (~(c2_1 (a14))) -> (c3_1 (a14)) -> (~(hskp19)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(c1_1 (a31))) -> (c2_1 (a31)) -> (c0_1 (a31)) -> (~(hskp10)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(c3_1 (a22))) -> (~(c2_1 (a22))) -> (~(c0_1 (a22))) -> (~(hskp23)) -> (~(hskp0)) -> ((hskp24)\/((hskp23)\/(hskp0))) -> False). % 1.14/1.33 do 0 intro. intros zenon_H48 zenon_H1ee zenon_H149 zenon_H146 zenon_H256 zenon_H255 zenon_H254 zenon_H11f zenon_H121 zenon_H144 zenon_H14a zenon_H32 zenon_H33 zenon_H3c zenon_H2d zenon_H43 zenon_H81 zenon_H89 zenon_H80 zenon_H13 zenon_H15 zenon_H17. % 1.14/1.33 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H11 | zenon_intro zenon_H41 ]. % 1.14/1.33 apply (zenon_L12_); trivial. % 1.14/1.33 apply (zenon_L414_); trivial. % 1.14/1.33 (* end of lemma zenon_L422_ *) % 1.14/1.33 assert (zenon_L423_ : (forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16)))))) -> (ndr1_0) -> (~(c0_1 (a24))) -> (forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))) -> (~(c1_1 (a24))) -> (c2_1 (a24)) -> False). % 1.14/1.33 do 0 intro. intros zenon_H1ab zenon_H1a zenon_H102 zenon_H31 zenon_H103 zenon_H104. % 1.14/1.33 generalize (zenon_H1ab (a24)). zenon_intro zenon_H282. % 1.14/1.33 apply (zenon_imply_s _ _ zenon_H282); [ zenon_intro zenon_H19 | zenon_intro zenon_H283 ]. % 1.14/1.33 exact (zenon_H19 zenon_H1a). % 1.14/1.33 apply (zenon_or_s _ _ zenon_H283); [ zenon_intro zenon_H108 | zenon_intro zenon_H253 ]. % 1.14/1.33 exact (zenon_H102 zenon_H108). % 1.14/1.33 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H249 | zenon_intro zenon_H109 ]. % 1.14/1.33 apply (zenon_L290_); trivial. % 1.14/1.33 exact (zenon_H109 zenon_H104). % 1.14/1.33 (* end of lemma zenon_L423_ *) % 1.14/1.33 assert (zenon_L424_ : ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp18)) -> (~(hskp17)) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> (c2_1 (a24)) -> (~(c1_1 (a24))) -> (~(c0_1 (a24))) -> (ndr1_0) -> (forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16)))))) -> (~(hskp10)) -> False). % 1.14/1.33 do 0 intro. intros zenon_H43 zenon_H128 zenon_H9 zenon_H254 zenon_H255 zenon_H256 zenon_H12a zenon_H104 zenon_H103 zenon_H102 zenon_H1a zenon_H1ab zenon_H2d. % 1.14/1.33 apply (zenon_or_s _ _ zenon_H43); [ zenon_intro zenon_H1b | zenon_intro zenon_H47 ]. % 1.14/1.33 apply (zenon_L322_); trivial. % 1.14/1.33 apply (zenon_or_s _ _ zenon_H47); [ zenon_intro zenon_H31 | zenon_intro zenon_H2e ]. % 1.14/1.33 apply (zenon_L423_); trivial. % 1.14/1.33 exact (zenon_H2d zenon_H2e). % 1.14/1.33 (* end of lemma zenon_L424_ *) % 1.14/1.33 assert (zenon_L425_ : ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> (~(hskp1)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> ((hskp25)\/((hskp17)\/(hskp21))) -> (~(hskp17)) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> (~(c3_1 (a25))) -> (c0_1 (a25)) -> (c1_1 (a25)) -> (~(hskp11)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(c0_1 (a24))) -> (~(c1_1 (a24))) -> (c2_1 (a24)) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> False). % 1.14/1.33 do 0 intro. intros zenon_H17a zenon_H177 zenon_Hde zenon_H162 zenon_H166 zenon_H43 zenon_H2d zenon_H12a zenon_H130 zenon_H9 zenon_H254 zenon_H255 zenon_H256 zenon_H14a zenon_H167 zenon_H1f0 zenon_H18e zenon_H18f zenon_H19a zenon_H91 zenon_H93 zenon_H102 zenon_H103 zenon_H104 zenon_H17b. % 1.14/1.33 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H128 | zenon_intro zenon_H17c ]. % 1.14/1.33 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.14/1.33 apply (zenon_L324_); trivial. % 1.14/1.33 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1a. zenon_intro zenon_H178. % 1.14/1.33 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H16a. zenon_intro zenon_H179. % 1.14/1.33 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H171. zenon_intro zenon_H168. % 1.14/1.33 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H12e | zenon_intro zenon_H161 ]. % 1.14/1.33 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H12c | zenon_intro zenon_H148 ]. % 1.14/1.33 apply (zenon_L81_); trivial. % 1.14/1.33 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H1a. zenon_intro zenon_H14b. % 1.14/1.33 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H13b. zenon_intro zenon_H14c. % 1.14/1.33 apply (zenon_and_s _ _ zenon_H14c). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 1.14/1.33 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H1ab | zenon_intro zenon_H1f1 ]. % 1.14/1.33 apply (zenon_L424_); trivial. % 1.14/1.33 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H1c ]. % 1.14/1.33 apply (zenon_L158_); trivial. % 1.14/1.33 apply (zenon_L83_); trivial. % 1.14/1.33 apply (zenon_L323_); trivial. % 1.14/1.33 apply (zenon_L327_); trivial. % 1.14/1.33 (* end of lemma zenon_L425_ *) % 1.14/1.33 assert (zenon_L426_ : ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (~(c2_1 (a6))) -> (c1_1 (a3)) -> (c3_1 (a3)) -> (c2_1 (a3)) -> (forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36)))))) -> (ndr1_0) -> (~(hskp19)) -> False). % 1.14/1.33 do 0 intro. intros zenon_H14a zenon_H256 zenon_H255 zenon_H254 zenon_H1d zenon_H1f zenon_H1e zenon_H49 zenon_H1a zenon_H144. % 1.14/1.33 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_H6d | zenon_intro zenon_H14e ]. % 1.14/1.33 apply (zenon_L318_); trivial. % 1.14/1.33 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H1c | zenon_intro zenon_H145 ]. % 1.14/1.33 apply (zenon_L110_); trivial. % 1.14/1.33 exact (zenon_H144 zenon_H145). % 1.14/1.33 (* end of lemma zenon_L426_ *) % 1.14/1.33 assert (zenon_L427_ : ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp19)) -> (c2_1 (a3)) -> (c3_1 (a3)) -> (c1_1 (a3)) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c2_1 (a31)) -> (c0_1 (a31)) -> (~(c1_1 (a31))) -> (c1_1 (a25)) -> (c0_1 (a25)) -> (~(c3_1 (a25))) -> (ndr1_0) -> (forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(hskp11)) -> False). % 1.14/1.33 do 0 intro. intros zenon_H93 zenon_H144 zenon_H1e zenon_H1f zenon_H1d zenon_H254 zenon_H255 zenon_H256 zenon_H14a zenon_Hfc zenon_H33 zenon_H3c zenon_H32 zenon_H19a zenon_H18f zenon_H18e zenon_H1a zenon_H3b zenon_Hd3 zenon_H91. % 1.14/1.33 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H49 | zenon_intro zenon_H94 ]. % 1.14/1.33 apply (zenon_L426_); trivial. % 1.14/1.33 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H8e | zenon_intro zenon_H92 ]. % 1.14/1.33 apply (zenon_L156_); trivial. % 1.14/1.33 exact (zenon_H91 zenon_H92). % 1.14/1.33 (* end of lemma zenon_L427_ *) % 1.14/1.33 assert (zenon_L428_ : ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp19)) -> (c2_1 (a3)) -> (c3_1 (a3)) -> (c1_1 (a3)) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c1_1 (a25)) -> (c0_1 (a25)) -> (~(c3_1 (a25))) -> (ndr1_0) -> (forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11)))))) -> (~(hskp11)) -> False). % 1.14/1.33 do 0 intro. intros zenon_H93 zenon_H144 zenon_H1e zenon_H1f zenon_H1d zenon_H254 zenon_H255 zenon_H256 zenon_H14a zenon_H19a zenon_H18f zenon_H18e zenon_H1a zenon_Hf3 zenon_H91. % 1.14/1.33 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H49 | zenon_intro zenon_H94 ]. % 1.14/1.33 apply (zenon_L426_); trivial. % 1.14/1.33 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H8e | zenon_intro zenon_H92 ]. % 1.14/1.33 apply (zenon_L114_); trivial. % 1.14/1.33 exact (zenon_H91 zenon_H92). % 1.14/1.33 (* end of lemma zenon_L428_ *) % 1.14/1.33 assert (zenon_L429_ : ((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11)))))))) -> (c2_1 (a24)) -> (~(c1_1 (a24))) -> (~(c0_1 (a24))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(c1_1 (a31))) -> (c0_1 (a31)) -> (c2_1 (a31)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp19)) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c1_1 (a25)) -> (c0_1 (a25)) -> (~(c3_1 (a25))) -> (~(hskp11)) -> False). % 1.14/1.33 do 0 intro. intros zenon_H41 zenon_H1e0 zenon_H104 zenon_H103 zenon_H102 zenon_Hd3 zenon_H32 zenon_H3c zenon_H33 zenon_Hfc zenon_H93 zenon_H144 zenon_H254 zenon_H255 zenon_H256 zenon_H14a zenon_H19a zenon_H18f zenon_H18e zenon_H91. % 1.14/1.33 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H1a. zenon_intro zenon_H44. % 1.14/1.33 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H1d. zenon_intro zenon_H45. % 1.14/1.33 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H1e. zenon_intro zenon_H1f. % 1.14/1.33 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H65 | zenon_intro zenon_H1e1 ]. % 1.14/1.33 apply (zenon_L69_); trivial. % 1.14/1.33 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H3b | zenon_intro zenon_Hf3 ]. % 1.14/1.33 apply (zenon_L427_); trivial. % 1.14/1.33 apply (zenon_L428_); trivial. % 1.14/1.33 (* end of lemma zenon_L429_ *) % 1.14/1.33 assert (zenon_L430_ : ((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(~(c3_1 (a25)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> (~(c3_1 (a22))) -> (~(c2_1 (a22))) -> (~(c0_1 (a22))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(hskp0)) -> ((hskp24)\/((hskp23)\/(hskp0))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(hskp0))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> (c2_1 (a24)) -> (~(c1_1 (a24))) -> (~(c0_1 (a24))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (~(c2_1 (a6))) -> ((hskp25)\/((hskp17)\/(hskp21))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> (~(hskp10)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> (~(hskp1)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> False). % 1.14/1.33 do 0 intro. intros zenon_H19f zenon_H9c zenon_H1ee zenon_H81 zenon_H89 zenon_H80 zenon_H95 zenon_H48 zenon_H1e0 zenon_Hd3 zenon_Hfc zenon_H15 zenon_H17 zenon_H63 zenon_H9d zenon_H17b zenon_H104 zenon_H103 zenon_H102 zenon_H93 zenon_H91 zenon_H1f0 zenon_H167 zenon_H14a zenon_H256 zenon_H255 zenon_H254 zenon_H130 zenon_H12a zenon_H2d zenon_H43 zenon_H166 zenon_H162 zenon_Hde zenon_H177 zenon_H17a. % 1.14/1.33 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H1a. zenon_intro zenon_H1a0. % 1.14/1.33 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H18f. zenon_intro zenon_H1a1. % 1.14/1.33 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H19a. zenon_intro zenon_H18e. % 1.14/1.33 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.14/1.33 apply (zenon_L425_); trivial. % 1.14/1.33 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.14/1.33 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.14/1.33 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.14/1.33 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.14/1.33 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H13 | zenon_intro zenon_Ha1 ]. % 1.14/1.33 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H11 | zenon_intro zenon_H41 ]. % 1.14/1.33 apply (zenon_L12_); trivial. % 1.14/1.33 apply (zenon_L429_); trivial. % 1.14/1.33 apply (zenon_L119_); trivial. % 1.14/1.33 apply (zenon_L335_); trivial. % 1.14/1.33 (* end of lemma zenon_L430_ *) % 1.14/1.33 assert (zenon_L431_ : ((ndr1_0)/\((c2_1 (a24))/\((~(c0_1 (a24)))/\(~(c1_1 (a24)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(~(c3_1 (a25))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((hskp25)\/((hskp17)\/(hskp21))) -> (~(hskp1)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> (~(c2_1 (a14))) -> (c0_1 (a14)) -> (c3_1 (a14)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(hskp0))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp11)) -> ((hskp24)\/((hskp23)\/(hskp0))) -> (~(hskp0)) -> (~(c0_1 (a22))) -> (~(c2_1 (a22))) -> (~(c3_1 (a22))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp10)) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> False). % 1.14/1.33 do 0 intro. intros zenon_H10d zenon_H1a2 zenon_H1e0 zenon_Hd3 zenon_Hfc zenon_H1f0 zenon_H17a zenon_H17b zenon_H177 zenon_H167 zenon_H149 zenon_H14a zenon_H130 zenon_Hde zenon_H162 zenon_H166 zenon_H11f zenon_H120 zenon_H121 zenon_H12a zenon_H9d zenon_H63 zenon_H95 zenon_H93 zenon_H91 zenon_H17 zenon_H15 zenon_H80 zenon_H89 zenon_H81 zenon_H43 zenon_H2d zenon_H254 zenon_H255 zenon_H256 zenon_H1ee zenon_H48 zenon_H9c. % 1.14/1.33 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_H1a. zenon_intro zenon_H10f. % 1.14/1.33 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H104. zenon_intro zenon_H110. % 1.14/1.33 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_H102. zenon_intro zenon_H103. % 1.14/1.33 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H146 | zenon_intro zenon_H19f ]. % 1.14/1.33 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.14/1.33 apply (zenon_L94_); trivial. % 1.14/1.33 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.14/1.33 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.14/1.33 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.14/1.33 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.14/1.33 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H13 | zenon_intro zenon_Ha1 ]. % 1.14/1.33 apply (zenon_L422_); trivial. % 1.14/1.33 apply (zenon_L298_); trivial. % 1.14/1.33 apply (zenon_L335_); trivial. % 1.14/1.33 apply (zenon_L430_); trivial. % 1.14/1.33 (* end of lemma zenon_L431_ *) % 1.14/1.33 assert (zenon_L432_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> (~(c3_1 (a37))) -> (~(c0_1 (a37))) -> (c2_1 (a19)) -> (~(c3_1 (a19))) -> (~(c1_1 (a19))) -> (forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16)))))) -> (ndr1_0) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> False). % 1.14/1.33 do 0 intro. intros zenon_H1ee zenon_H1cf zenon_H1ce zenon_Hb0 zenon_Haf zenon_Hae zenon_H1ab zenon_H1a zenon_H254 zenon_H255 zenon_H256. % 1.14/1.33 apply (zenon_or_s _ _ zenon_H1ee); [ zenon_intro zenon_H1e7 | zenon_intro zenon_H1ef ]. % 1.14/1.33 apply (zenon_L166_); trivial. % 1.14/1.33 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H3b | zenon_intro zenon_H6d ]. % 1.14/1.33 apply (zenon_L130_); trivial. % 1.14/1.33 apply (zenon_L318_); trivial. % 1.14/1.33 (* end of lemma zenon_L432_ *) % 1.14/1.33 assert (zenon_L433_ : ((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (~(c2_1 (a6))) -> (~(c1_1 (a19))) -> (~(c3_1 (a19))) -> (c2_1 (a19)) -> (~(c0_1 (a37))) -> (~(c3_1 (a37))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> (~(hskp14)) -> (~(hskp2)) -> (~(c2_1 (a16))) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((hskp2)\/(hskp14))) -> False). % 1.14/1.33 do 0 intro. intros zenon_H148 zenon_H1f0 zenon_H256 zenon_H255 zenon_H254 zenon_Hae zenon_Haf zenon_Hb0 zenon_H1ce zenon_H1cf zenon_H1ee zenon_H100 zenon_Hfe zenon_He9 zenon_Hea zenon_Heb zenon_H113. % 1.14/1.33 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H1a. zenon_intro zenon_H14b. % 1.14/1.33 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H13b. zenon_intro zenon_H14c. % 1.14/1.33 apply (zenon_and_s _ _ zenon_H14c). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 1.14/1.33 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H1ab | zenon_intro zenon_H1f1 ]. % 1.14/1.33 apply (zenon_L432_); trivial. % 1.14/1.33 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H1c ]. % 1.14/1.33 apply (zenon_L163_); trivial. % 1.14/1.33 apply (zenon_L83_); trivial. % 1.14/1.33 (* end of lemma zenon_L433_ *) % 1.14/1.33 assert (zenon_L434_ : ((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a11))/\((c1_1 (a11))/\(c3_1 (a11)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(c1_1 (a19))) -> (~(c3_1 (a19))) -> (c2_1 (a19)) -> (~(c0_1 (a37))) -> (~(c3_1 (a37))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp27)\/(hskp12))) -> (~(hskp12)) -> (~(c1_1 (a31))) -> (c0_1 (a31)) -> (c2_1 (a31)) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(hskp0))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (~(c2_1 (a16))) -> (~(hskp2)) -> (~(hskp14)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((hskp2)\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> False). % 1.14/1.33 do 0 intro. intros zenon_Ha1 zenon_H167 zenon_H1f0 zenon_H254 zenon_H255 zenon_H256 zenon_H97 zenon_H1ee zenon_Hd3 zenon_Hae zenon_Haf zenon_Hb0 zenon_H1ce zenon_H1cf zenon_H1c2 zenon_H5d zenon_H5b zenon_H32 zenon_H3c zenon_H33 zenon_H15 zenon_H63 zenon_Hfc zenon_Heb zenon_Hea zenon_He9 zenon_Hfe zenon_H100 zenon_H113 zenon_H1c1. % 1.14/1.33 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H1a. zenon_intro zenon_Ha2. % 1.14/1.33 apply (zenon_and_s _ _ zenon_Ha2). zenon_intro zenon_H4d. zenon_intro zenon_Ha3. % 1.14/1.33 apply (zenon_and_s _ _ zenon_Ha3). zenon_intro zenon_H4a. zenon_intro zenon_H4c. % 1.14/1.33 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H12c | zenon_intro zenon_H148 ]. % 1.14/1.33 apply (zenon_L175_); trivial. % 1.14/1.33 apply (zenon_L433_); trivial. % 1.14/1.33 (* end of lemma zenon_L434_ *) % 1.14/1.33 assert (zenon_L435_ : ((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37)))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a11))/\((c1_1 (a11))/\(c3_1 (a11)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp27)\/(hskp12))) -> (~(hskp12)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(hskp0))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (~(c2_1 (a16))) -> (~(hskp2)) -> (~(hskp14)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((hskp2)\/(hskp14))) -> ((hskp24)\/((hskp23)\/(hskp0))) -> (~(hskp0)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (c2_1 (a19)) -> (~(c3_1 (a19))) -> (~(c1_1 (a19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp10)) -> (c0_1 (a31)) -> (c2_1 (a31)) -> (~(c1_1 (a31))) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> (~(hskp19)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> False). % 1.14/1.33 do 0 intro. intros zenon_H1d7 zenon_H9d zenon_H1f0 zenon_H97 zenon_H5d zenon_H5b zenon_H63 zenon_Hfc zenon_Heb zenon_Hea zenon_He9 zenon_Hfe zenon_H100 zenon_H113 zenon_H17 zenon_H15 zenon_H1c1 zenon_Hd3 zenon_Hb0 zenon_Haf zenon_Hae zenon_H1c2 zenon_H43 zenon_H2d zenon_H3c zenon_H33 zenon_H32 zenon_H254 zenon_H255 zenon_H256 zenon_H144 zenon_H14a zenon_H1ee zenon_H167 zenon_H48. % 1.14/1.33 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H1a. zenon_intro zenon_H1d8. % 1.14/1.33 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1d0. zenon_intro zenon_H1d9. % 1.14/1.33 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1ce. zenon_intro zenon_H1cf. % 1.14/1.33 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H13 | zenon_intro zenon_Ha1 ]. % 1.14/1.33 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H11 | zenon_intro zenon_H41 ]. % 1.14/1.33 apply (zenon_L12_); trivial. % 1.14/1.33 apply (zenon_L418_); trivial. % 1.14/1.33 apply (zenon_L434_); trivial. % 1.14/1.33 (* end of lemma zenon_L435_ *) % 1.14/1.33 assert (zenon_L436_ : ((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> (~(c2_1 (a16))) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> (~(hskp2)) -> (~(hskp14)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((hskp2)\/(hskp14))) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a11))/\((c1_1 (a11))/\(c3_1 (a11)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(c1_1 (a19))) -> (~(c3_1 (a19))) -> (c2_1 (a19)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp27)\/(hskp26))) -> (c2_1 (a33)) -> (~(c0_1 (a33))) -> (c3_1 (a33)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> False). % 1.14/1.33 do 0 intro. intros zenon_H1d7 zenon_H167 zenon_H1f0 zenon_He9 zenon_Hea zenon_Heb zenon_Hfe zenon_H100 zenon_H113 zenon_H254 zenon_H255 zenon_H256 zenon_H97 zenon_H1ee zenon_Hd3 zenon_Hae zenon_Haf zenon_Hb0 zenon_H1c2 zenon_H1f2 zenon_H16a zenon_H168 zenon_H171 zenon_H95 zenon_H1c1. % 1.14/1.33 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H1a. zenon_intro zenon_H1d8. % 1.14/1.33 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1d0. zenon_intro zenon_H1d9. % 1.14/1.33 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1ce. zenon_intro zenon_H1cf. % 1.14/1.33 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H12c | zenon_intro zenon_H148 ]. % 1.14/1.33 apply (zenon_L307_); trivial. % 1.14/1.33 apply (zenon_L433_); trivial. % 1.14/1.33 (* end of lemma zenon_L436_ *) % 1.14/1.33 assert (zenon_L437_ : ((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> (~(c2_1 (a16))) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> (~(hskp2)) -> (~(hskp14)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((hskp2)\/(hskp14))) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a11))/\((c1_1 (a11))/\(c3_1 (a11)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp27)\/(hskp26))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> (~(hskp1)) -> (~(c1_1 (a31))) -> (c2_1 (a31)) -> (c0_1 (a31)) -> (~(c3_1 (a19))) -> (~(c1_1 (a19))) -> (c2_1 (a19)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> False). % 1.14/1.33 do 0 intro. intros zenon_H176 zenon_H1da zenon_H167 zenon_H1f0 zenon_He9 zenon_Hea zenon_Heb zenon_Hfe zenon_H100 zenon_H113 zenon_H254 zenon_H255 zenon_H256 zenon_H97 zenon_H1ee zenon_H1c2 zenon_H1f2 zenon_H95 zenon_H162 zenon_Hde zenon_H32 zenon_H33 zenon_H3c zenon_Haf zenon_Hae zenon_Hb0 zenon_H1c6 zenon_Hd3 zenon_H1c1. % 1.14/1.33 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1a. zenon_intro zenon_H178. % 1.14/1.33 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H16a. zenon_intro zenon_H179. % 1.14/1.33 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H171. zenon_intro zenon_H168. % 1.14/1.33 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.14/1.33 apply (zenon_L142_); trivial. % 1.14/1.33 apply (zenon_L436_); trivial. % 1.14/1.33 (* end of lemma zenon_L437_ *) % 1.14/1.33 assert (zenon_L438_ : ((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> (~(hskp1)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(c3_1 (a18))) -> (c0_1 (a18)) -> (c2_1 (a18)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a11))/\((c1_1 (a11))/\(c3_1 (a11)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> (~(c1_1 (a19))) -> (~(c3_1 (a19))) -> (c2_1 (a19)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp27)\/(hskp26))) -> (~(hskp0)) -> ((hskp24)\/((hskp23)\/(hskp0))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(hskp0))) -> (~(hskp12)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp27)\/(hskp12))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((hskp2)\/(hskp14))) -> (~(hskp14)) -> (~(hskp2)) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (~(c2_1 (a16))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> False). % 1.14/1.33 do 0 intro. intros zenon_H9e zenon_H17b zenon_H95 zenon_H162 zenon_Hde zenon_H1c1 zenon_Hd3 zenon_H254 zenon_H255 zenon_H256 zenon_H14a zenon_Hc1 zenon_He0 zenon_Hc2 zenon_H1c6 zenon_H48 zenon_H167 zenon_H97 zenon_H1ee zenon_Hae zenon_Haf zenon_Hb0 zenon_H1c2 zenon_H1f2 zenon_H15 zenon_H17 zenon_H63 zenon_H5b zenon_H5d zenon_H113 zenon_H100 zenon_Hfe zenon_Heb zenon_Hea zenon_He9 zenon_H1f0 zenon_H9d zenon_H1da. % 1.14/1.33 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.14/1.33 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.14/1.33 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.14/1.33 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.14/1.33 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.14/1.33 apply (zenon_L339_); trivial. % 1.14/1.33 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H1a. zenon_intro zenon_H1d8. % 1.14/1.33 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1d0. zenon_intro zenon_H1d9. % 1.14/1.33 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1ce. zenon_intro zenon_H1cf. % 1.14/1.33 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H13 | zenon_intro zenon_Ha1 ]. % 1.14/1.33 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H11 | zenon_intro zenon_H41 ]. % 1.14/1.33 apply (zenon_L12_); trivial. % 1.14/1.33 apply (zenon_L347_); trivial. % 1.14/1.33 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H1a. zenon_intro zenon_Ha2. % 1.14/1.33 apply (zenon_and_s _ _ zenon_Ha2). zenon_intro zenon_H4d. zenon_intro zenon_Ha3. % 1.14/1.33 apply (zenon_and_s _ _ zenon_Ha3). zenon_intro zenon_H4a. zenon_intro zenon_H4c. % 1.14/1.33 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H12c | zenon_intro zenon_H148 ]. % 1.14/1.33 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1be ]. % 1.14/1.33 apply (zenon_L393_); trivial. % 1.14/1.33 apply (zenon_L134_); trivial. % 1.14/1.33 apply (zenon_L433_); trivial. % 1.14/1.33 apply (zenon_L437_); trivial. % 1.14/1.33 (* end of lemma zenon_L438_ *) % 1.14/1.33 assert (zenon_L439_ : ((ndr1_0)/\((c2_1 (a19))/\((~(c1_1 (a19)))/\(~(c3_1 (a19)))))) -> ((~(hskp12))\/((ndr1_0)/\((~(c0_1 (a21)))/\((~(c1_1 (a21)))/\(~(c2_1 (a21))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(~(c3_1 (a25))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp24))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(c3_1 (a18))) -> (c0_1 (a18)) -> (c2_1 (a18)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a11))/\((c1_1 (a11))/\(c3_1 (a11)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp27)\/(hskp26))) -> (~(hskp0)) -> ((hskp24)\/((hskp23)\/(hskp0))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(hskp0))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((hskp27)\/(hskp12))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((hskp2)\/(hskp14))) -> (~(hskp2)) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (~(c2_1 (a16))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> (c3_1 (a14)) -> (c0_1 (a14)) -> (~(c2_1 (a14))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> (~(hskp1)) -> ((hskp25)\/((hskp17)\/(hskp21))) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> (~(hskp3)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp2)\/(hskp3))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a24))/\((~(c0_1 (a24)))/\(~(c1_1 (a24))))))) -> False). % 1.14/1.33 do 0 intro. intros zenon_He5 zenon_H214 zenon_H1a2 zenon_H1f8 zenon_H149 zenon_H9c zenon_H95 zenon_H1c1 zenon_Hd3 zenon_Hc1 zenon_He0 zenon_Hc2 zenon_H1c6 zenon_H48 zenon_H97 zenon_H1ee zenon_H1c2 zenon_H1f2 zenon_H15 zenon_H17 zenon_H63 zenon_H5d zenon_H113 zenon_Hfe zenon_Heb zenon_Hea zenon_He9 zenon_H1f0 zenon_H9d zenon_H1da zenon_H12a zenon_H121 zenon_H120 zenon_H11f zenon_H166 zenon_H162 zenon_Hde zenon_H130 zenon_H254 zenon_H255 zenon_H256 zenon_H14a zenon_H167 zenon_H177 zenon_H17b zenon_H17a zenon_H10b zenon_H10e zenon_H112. % 1.14/1.33 apply (zenon_and_s _ _ zenon_He5). zenon_intro zenon_H1a. zenon_intro zenon_He6. % 1.14/1.33 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_Hb0. zenon_intro zenon_He7. % 1.14/1.33 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hae. zenon_intro zenon_Haf. % 1.14/1.33 apply (zenon_or_s _ _ zenon_H214); [ zenon_intro zenon_H5b | zenon_intro zenon_H1fa ]. % 1.14/1.33 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_H100 | zenon_intro zenon_H10d ]. % 1.14/1.33 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.14/1.33 apply (zenon_L411_); trivial. % 1.14/1.33 apply (zenon_L438_); trivial. % 1.14/1.33 apply (zenon_L71_); trivial. % 1.14/1.33 apply (zenon_L193_); trivial. % 1.14/1.33 (* end of lemma zenon_L439_ *) % 1.14/1.33 assert (zenon_L440_ : ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> (c3_1 (a33)) -> (c2_1 (a33)) -> (~(c0_1 (a33))) -> (forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1)))))) -> (ndr1_0) -> (~(hskp10)) -> False). % 1.14/1.33 do 0 intro. intros zenon_H43 zenon_H235 zenon_H234 zenon_H233 zenon_H171 zenon_H16a zenon_H168 zenon_Hd6 zenon_H1a zenon_H2d. % 1.14/1.33 apply (zenon_or_s _ _ zenon_H43); [ zenon_intro zenon_H1b | zenon_intro zenon_H47 ]. % 1.14/1.33 apply (zenon_L242_); trivial. % 1.14/1.33 apply (zenon_or_s _ _ zenon_H47); [ zenon_intro zenon_H31 | zenon_intro zenon_H2e ]. % 1.14/1.33 apply (zenon_L92_); trivial. % 1.14/1.33 exact (zenon_H2d zenon_H2e). % 1.14/1.33 (* end of lemma zenon_L440_ *) % 1.14/1.33 assert (zenon_L441_ : ((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp8)\/(hskp9))) -> (~(hskp10)) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp8)) -> (~(hskp9)) -> False). % 1.14/1.33 do 0 intro. intros zenon_H176 zenon_H1a3 zenon_H2d zenon_H233 zenon_H234 zenon_H235 zenon_H43 zenon_Hb zenon_H3. % 1.14/1.33 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1a. zenon_intro zenon_H178. % 1.14/1.33 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H16a. zenon_intro zenon_H179. % 1.14/1.33 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H171. zenon_intro zenon_H168. % 1.14/1.33 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H1a4 ]. % 1.14/1.33 apply (zenon_L440_); trivial. % 1.14/1.33 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_Hc | zenon_intro zenon_H4 ]. % 1.14/1.33 exact (zenon_Hb zenon_Hc). % 1.14/1.33 exact (zenon_H3 zenon_H4). % 1.14/1.33 (* end of lemma zenon_L441_ *) % 1.14/1.33 assert (zenon_L442_ : ((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> (~(c3_1 (a22))) -> (~(c2_1 (a22))) -> (~(c0_1 (a22))) -> (~(hskp10)) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> False). % 1.14/1.33 do 0 intro. intros zenon_H9e zenon_H1ee zenon_H81 zenon_H89 zenon_H80 zenon_H2d zenon_H233 zenon_H234 zenon_H235 zenon_H43 zenon_H254 zenon_H255 zenon_H256. % 1.14/1.33 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.14/1.33 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.14/1.33 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.14/1.33 apply (zenon_or_s _ _ zenon_H1ee); [ zenon_intro zenon_H1e7 | zenon_intro zenon_H1ef ]. % 1.14/1.33 apply (zenon_L221_); trivial. % 1.14/1.33 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H3b | zenon_intro zenon_H6d ]. % 1.14/1.33 apply (zenon_L243_); trivial. % 1.14/1.33 apply (zenon_L318_); trivial. % 1.14/1.33 (* end of lemma zenon_L442_ *) % 1.14/1.33 assert (zenon_L443_ : ((ndr1_0)/\((~(c0_1 (a22)))/\((~(c2_1 (a22)))/\(~(c3_1 (a22)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp8)\/(hskp9))) -> (~(hskp9)) -> (~(hskp8)) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (~(c2_1 (a6))) -> ((hskp25)\/((hskp17)\/(hskp21))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> (~(hskp10)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> (~(hskp1)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> False). % 1.14/1.33 do 0 intro. intros zenon_H284 zenon_H9c zenon_H1ee zenon_H17b zenon_H1a3 zenon_H3 zenon_Hb zenon_H233 zenon_H234 zenon_H235 zenon_H167 zenon_H14a zenon_H256 zenon_H255 zenon_H254 zenon_H130 zenon_H12a zenon_H2d zenon_H43 zenon_H166 zenon_H162 zenon_Hde zenon_H177 zenon_H17a. % 1.14/1.33 apply (zenon_and_s _ _ zenon_H284). zenon_intro zenon_H1a. zenon_intro zenon_H285. % 1.14/1.33 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_H80. zenon_intro zenon_H286. % 1.14/1.33 apply (zenon_and_s _ _ zenon_H286). zenon_intro zenon_H89. zenon_intro zenon_H81. % 1.14/1.33 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.14/1.33 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H128 | zenon_intro zenon_H17c ]. % 1.14/1.33 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.14/1.34 apply (zenon_L324_); trivial. % 1.14/1.34 apply (zenon_L441_); trivial. % 1.14/1.34 apply (zenon_L327_); trivial. % 1.14/1.34 apply (zenon_L442_); trivial. % 1.14/1.34 (* end of lemma zenon_L443_ *) % 1.14/1.34 assert (zenon_L444_ : ((~(hskp13))\/((ndr1_0)/\((~(c0_1 (a22)))/\((~(c2_1 (a22)))/\(~(c3_1 (a22))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp8)\/(hskp9))) -> (~(hskp8)) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (~(c2_1 (a6))) -> ((hskp25)\/((hskp17)\/(hskp21))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> (~(hskp10)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> (~(hskp1)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> (~(hskp7)) -> (~(hskp9)) -> ((hskp7)\/((hskp9)\/(hskp13))) -> False). % 1.14/1.34 do 0 intro. intros zenon_H287 zenon_H9c zenon_H1ee zenon_H17b zenon_H1a3 zenon_Hb zenon_H233 zenon_H234 zenon_H235 zenon_H167 zenon_H14a zenon_H256 zenon_H255 zenon_H254 zenon_H130 zenon_H12a zenon_H2d zenon_H43 zenon_H166 zenon_H162 zenon_Hde zenon_H177 zenon_H17a zenon_H1 zenon_H3 zenon_H7. % 1.14/1.34 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H5 | zenon_intro zenon_H284 ]. % 1.14/1.34 apply (zenon_L4_); trivial. % 1.14/1.34 apply (zenon_L443_); trivial. % 1.14/1.34 (* end of lemma zenon_L444_ *) % 1.14/1.34 assert (zenon_L445_ : ((ndr1_0)/\((c0_1 (a18))/\((c2_1 (a18))/\(~(c3_1 (a18)))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a19))/\((~(c1_1 (a19)))/\(~(c3_1 (a19))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((hskp25)\/((hskp17)\/(hskp21))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> (~(c0_1 (a7))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(hskp7)) -> (~(hskp7)) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> False). % 1.14/1.34 do 0 intro. intros zenon_H217 zenon_H213 zenon_H17b zenon_H93 zenon_H1c1 zenon_Hd3 zenon_H254 zenon_H255 zenon_H256 zenon_H14a zenon_H1c6 zenon_H167 zenon_H130 zenon_H95 zenon_H166 zenon_H1da zenon_H234 zenon_H235 zenon_H233 zenon_Hb7 zenon_H1 zenon_H9c. % 1.14/1.34 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H1a. zenon_intro zenon_H218. % 1.14/1.34 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_He0. zenon_intro zenon_H219. % 1.14/1.34 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_Hc2. zenon_intro zenon_Hc1. % 1.14/1.34 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H91 | zenon_intro zenon_He5 ]. % 1.14/1.34 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.14/1.34 apply (zenon_L392_); trivial. % 1.14/1.34 apply (zenon_L249_); trivial. % 1.14/1.34 apply (zenon_L62_); trivial. % 1.14/1.34 (* end of lemma zenon_L445_ *) % 1.14/1.34 assert (zenon_L446_ : ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp27)\/(hskp26))) -> (~(hskp10)) -> (ndr1_0) -> (~(c0_1 (a33))) -> (c2_1 (a33)) -> (c3_1 (a33)) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp27)) -> (~(hskp26)) -> False). % 1.14/1.34 do 0 intro. intros zenon_H1f2 zenon_H2d zenon_H1a zenon_H168 zenon_H16a zenon_H171 zenon_H233 zenon_H234 zenon_H235 zenon_H43 zenon_H59 zenon_H1b3. % 1.14/1.34 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H1f3 ]. % 1.14/1.34 apply (zenon_L440_); trivial. % 1.14/1.34 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H5a | zenon_intro zenon_H1b4 ]. % 1.14/1.34 exact (zenon_H59 zenon_H5a). % 1.14/1.34 exact (zenon_H1b3 zenon_H1b4). % 1.14/1.34 (* end of lemma zenon_L446_ *) % 1.14/1.34 assert (zenon_L447_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp27)\/(hskp26))) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (~(c2_1 (a16))) -> (~(hskp2)) -> (~(hskp14)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((hskp2)\/(hskp14))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a11))/\((c1_1 (a11))/\(c3_1 (a11)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (~(c2_1 (a6))) -> (~(hskp17)) -> ((hskp25)\/((hskp17)\/(hskp21))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> (~(hskp18)) -> (~(hskp10)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> False). % 1.14/1.34 do 0 intro. intros zenon_H17b zenon_H1c1 zenon_H1f2 zenon_H233 zenon_H234 zenon_H235 zenon_Hfc zenon_Heb zenon_Hea zenon_He9 zenon_Hfe zenon_H100 zenon_H113 zenon_H97 zenon_H167 zenon_H14a zenon_H256 zenon_H255 zenon_H254 zenon_H9 zenon_H130 zenon_H12a zenon_H128 zenon_H2d zenon_H43 zenon_H166. % 1.14/1.34 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.14/1.34 apply (zenon_L324_); trivial. % 1.14/1.34 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1a. zenon_intro zenon_H178. % 1.14/1.34 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H16a. zenon_intro zenon_H179. % 1.14/1.34 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H171. zenon_intro zenon_H168. % 1.14/1.34 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1be ]. % 1.14/1.34 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H98 ]. % 1.14/1.34 apply (zenon_L446_); trivial. % 1.14/1.34 apply (zenon_L355_); trivial. % 1.14/1.34 apply (zenon_L174_); trivial. % 1.14/1.34 (* end of lemma zenon_L447_ *) % 1.14/1.34 assert (zenon_L448_ : ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> (~(hskp1)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> ((hskp25)\/((hskp17)\/(hskp21))) -> (~(hskp17)) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a11))/\((c1_1 (a11))/\(c3_1 (a11)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((hskp2)\/(hskp14))) -> (~(hskp14)) -> (~(hskp2)) -> (~(c2_1 (a16))) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp27)\/(hskp26))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> False). % 1.14/1.34 do 0 intro. intros zenon_H17a zenon_H177 zenon_Hde zenon_H162 zenon_H166 zenon_H43 zenon_H2d zenon_H12a zenon_H130 zenon_H9 zenon_H254 zenon_H255 zenon_H256 zenon_H14a zenon_H167 zenon_H97 zenon_H113 zenon_H100 zenon_Hfe zenon_He9 zenon_Hea zenon_Heb zenon_Hfc zenon_H235 zenon_H234 zenon_H233 zenon_H1f2 zenon_H1c1 zenon_H17b. % 1.14/1.34 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H128 | zenon_intro zenon_H17c ]. % 1.14/1.34 apply (zenon_L447_); trivial. % 1.14/1.34 apply (zenon_L327_); trivial. % 1.14/1.34 (* end of lemma zenon_L448_ *) % 1.14/1.34 assert (zenon_L449_ : ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> (~(hskp20)) -> (~(hskp26)) -> (ndr1_0) -> (~(c1_1 (a31))) -> (c2_1 (a31)) -> (c0_1 (a31)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> (~(hskp10)) -> False). % 1.14/1.34 do 0 intro. intros zenon_H43 zenon_H235 zenon_H234 zenon_H233 zenon_H1c4 zenon_H1b3 zenon_H1a zenon_H32 zenon_H33 zenon_H3c zenon_H1c6 zenon_H2d. % 1.14/1.34 apply (zenon_or_s _ _ zenon_H43); [ zenon_intro zenon_H1b | zenon_intro zenon_H47 ]. % 1.14/1.34 apply (zenon_L242_); trivial. % 1.14/1.34 apply (zenon_or_s _ _ zenon_H47); [ zenon_intro zenon_H31 | zenon_intro zenon_H2e ]. % 1.14/1.34 apply (zenon_L141_); trivial. % 1.14/1.34 exact (zenon_H2d zenon_H2e). % 1.14/1.34 (* end of lemma zenon_L449_ *) % 1.14/1.34 assert (zenon_L450_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> (~(hskp26)) -> (~(hskp25)) -> (~(c0_1 (a37))) -> (~(c3_1 (a37))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> (~(hskp10)) -> (~(c1_1 (a31))) -> (c2_1 (a31)) -> (c0_1 (a31)) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (ndr1_0) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> False). % 1.14/1.34 do 0 intro. intros zenon_H1ee zenon_H1b3 zenon_H12c zenon_H1ce zenon_H1cf zenon_H1c2 zenon_H2d zenon_H32 zenon_H33 zenon_H3c zenon_H233 zenon_H234 zenon_H235 zenon_H43 zenon_H1a zenon_H254 zenon_H255 zenon_H256. % 1.14/1.34 apply (zenon_or_s _ _ zenon_H1ee); [ zenon_intro zenon_H1e7 | zenon_intro zenon_H1ef ]. % 1.14/1.34 apply (zenon_L167_); trivial. % 1.14/1.34 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H3b | zenon_intro zenon_H6d ]. % 1.14/1.34 apply (zenon_L243_); trivial. % 1.14/1.34 apply (zenon_L318_); trivial. % 1.14/1.34 (* end of lemma zenon_L450_ *) % 1.14/1.34 assert (zenon_L451_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> (~(hskp2)) -> (~(hskp14)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((hskp2)\/(hskp14))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp10)) -> (~(c1_1 (a31))) -> (c2_1 (a31)) -> (c0_1 (a31)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> (ndr1_0) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (~(c2_1 (a16))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp19)) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (~(c2_1 (a6))) -> (~(hskp13)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/(hskp13))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> False). % 1.14/1.34 do 0 intro. intros zenon_H1da zenon_H167 zenon_H1ee zenon_H1c2 zenon_Hfe zenon_H100 zenon_H113 zenon_H43 zenon_H2d zenon_H32 zenon_H33 zenon_H3c zenon_H1c6 zenon_H235 zenon_H234 zenon_H233 zenon_H1a zenon_Hfc zenon_Heb zenon_Hea zenon_He9 zenon_H14a zenon_H144 zenon_H256 zenon_H255 zenon_H254 zenon_H5 zenon_H247 zenon_H1c1. % 1.14/1.34 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.14/1.34 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1be ]. % 1.14/1.34 apply (zenon_L449_); trivial. % 1.14/1.34 apply (zenon_L366_); trivial. % 1.14/1.34 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H1a. zenon_intro zenon_H1d8. % 1.14/1.34 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1d0. zenon_intro zenon_H1d9. % 1.14/1.34 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1ce. zenon_intro zenon_H1cf. % 1.14/1.34 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H12c | zenon_intro zenon_H148 ]. % 1.14/1.34 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1be ]. % 1.14/1.34 apply (zenon_L450_); trivial. % 1.14/1.34 apply (zenon_L174_); trivial. % 1.14/1.34 apply (zenon_L319_); trivial. % 1.14/1.34 (* end of lemma zenon_L451_ *) % 1.14/1.34 assert (zenon_L452_ : ((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> (~(hskp11)) -> (~(c1_1 (a31))) -> (c2_1 (a31)) -> (c0_1 (a31)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp10)) -> False). % 1.14/1.34 do 0 intro. intros zenon_H176 zenon_H43 zenon_H235 zenon_H234 zenon_H233 zenon_H91 zenon_H32 zenon_H33 zenon_H3c zenon_H93 zenon_H2d. % 1.14/1.34 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1a. zenon_intro zenon_H178. % 1.14/1.34 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H16a. zenon_intro zenon_H179. % 1.14/1.34 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H171. zenon_intro zenon_H168. % 1.14/1.34 apply (zenon_or_s _ _ zenon_H43); [ zenon_intro zenon_H1b | zenon_intro zenon_H47 ]. % 1.14/1.34 apply (zenon_L242_); trivial. % 1.14/1.34 apply (zenon_or_s _ _ zenon_H47); [ zenon_intro zenon_H31 | zenon_intro zenon_H2e ]. % 1.14/1.34 apply (zenon_L106_); trivial. % 1.14/1.34 exact (zenon_H2d zenon_H2e). % 1.14/1.34 (* end of lemma zenon_L452_ *) % 1.14/1.34 assert (zenon_L453_ : ((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> (~(hskp11)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/(hskp13))) -> (~(hskp13)) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(c2_1 (a16))) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> (~(hskp10)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((hskp2)\/(hskp14))) -> (~(hskp14)) -> (~(hskp2)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> False). % 1.14/1.34 do 0 intro. intros zenon_H9e zenon_H17b zenon_H91 zenon_H93 zenon_H1c1 zenon_H247 zenon_H5 zenon_H254 zenon_H255 zenon_H256 zenon_H14a zenon_He9 zenon_Hea zenon_Heb zenon_Hfc zenon_H233 zenon_H234 zenon_H235 zenon_H1c6 zenon_H2d zenon_H43 zenon_H113 zenon_H100 zenon_Hfe zenon_H1c2 zenon_H1ee zenon_H167 zenon_H1da. % 1.14/1.34 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.14/1.34 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.14/1.34 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.14/1.34 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.14/1.34 apply (zenon_L451_); trivial. % 1.14/1.34 apply (zenon_L452_); trivial. % 1.14/1.34 (* end of lemma zenon_L453_ *) % 1.14/1.34 assert (zenon_L454_ : ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> (c2_1 (a24)) -> (~(c1_1 (a24))) -> (~(c0_1 (a24))) -> (ndr1_0) -> (forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z))))) -> (~(hskp10)) -> False). % 1.14/1.34 do 0 intro. intros zenon_H43 zenon_H235 zenon_H234 zenon_H233 zenon_H104 zenon_H103 zenon_H102 zenon_H1a zenon_Hb8 zenon_H2d. % 1.14/1.34 apply (zenon_or_s _ _ zenon_H43); [ zenon_intro zenon_H1b | zenon_intro zenon_H47 ]. % 1.14/1.34 apply (zenon_L242_); trivial. % 1.14/1.34 apply (zenon_or_s _ _ zenon_H47); [ zenon_intro zenon_H31 | zenon_intro zenon_H2e ]. % 1.14/1.34 apply (zenon_L291_); trivial. % 1.14/1.34 exact (zenon_H2d zenon_H2e). % 1.14/1.34 (* end of lemma zenon_L454_ *) % 1.14/1.34 assert (zenon_L455_ : ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> (c2_1 (a24)) -> (~(c1_1 (a24))) -> (forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))) -> (~(c0_1 (a24))) -> (ndr1_0) -> (~(hskp25)) -> (~(hskp26)) -> False). % 1.14/1.34 do 0 intro. intros zenon_H1c2 zenon_H104 zenon_H103 zenon_H31 zenon_H102 zenon_H1a zenon_H12c zenon_H1b3. % 1.14/1.34 apply (zenon_or_s _ _ zenon_H1c2); [ zenon_intro zenon_H1ab | zenon_intro zenon_H1c3 ]. % 1.14/1.34 apply (zenon_L423_); trivial. % 1.14/1.34 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_H12d | zenon_intro zenon_H1b4 ]. % 1.14/1.34 exact (zenon_H12c zenon_H12d). % 1.14/1.34 exact (zenon_H1b3 zenon_H1b4). % 1.14/1.34 (* end of lemma zenon_L455_ *) % 1.14/1.34 assert (zenon_L456_ : ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> (~(hskp10)) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp26)) -> (~(hskp25)) -> (ndr1_0) -> (~(c0_1 (a24))) -> (~(c1_1 (a24))) -> (c2_1 (a24)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> (~(hskp1)) -> False). % 1.14/1.34 do 0 intro. intros zenon_H162 zenon_H2d zenon_H233 zenon_H234 zenon_H235 zenon_H43 zenon_H1b3 zenon_H12c zenon_H1a zenon_H102 zenon_H103 zenon_H104 zenon_H1c2 zenon_Hde. % 1.14/1.34 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H165 ]. % 1.14/1.34 apply (zenon_L454_); trivial. % 1.14/1.34 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H31 | zenon_intro zenon_Hdf ]. % 1.14/1.34 apply (zenon_L455_); trivial. % 1.14/1.34 exact (zenon_Hde zenon_Hdf). % 1.14/1.34 (* end of lemma zenon_L456_ *) % 1.14/1.34 assert (zenon_L457_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/(hskp13))) -> (~(hskp13)) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> (~(hskp19)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(c2_1 (a16))) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp10)) -> (c2_1 (a24)) -> (~(c1_1 (a24))) -> (~(c0_1 (a24))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> (ndr1_0) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> (~(hskp25)) -> (~(hskp1)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> False). % 1.14/1.34 do 0 intro. intros zenon_H1c1 zenon_H247 zenon_H5 zenon_H254 zenon_H255 zenon_H256 zenon_H144 zenon_H14a zenon_He9 zenon_Hea zenon_Heb zenon_Hfc zenon_H43 zenon_H2d zenon_H104 zenon_H103 zenon_H102 zenon_H235 zenon_H234 zenon_H233 zenon_H1a zenon_H1c2 zenon_H12c zenon_Hde zenon_H162. % 1.14/1.34 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1be ]. % 1.14/1.34 apply (zenon_L456_); trivial. % 1.14/1.34 apply (zenon_L366_); trivial. % 1.14/1.34 (* end of lemma zenon_L457_ *) % 1.14/1.34 assert (zenon_L458_ : ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> (ndr1_0) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> (~(c0_1 (a24))) -> (~(c1_1 (a24))) -> (c2_1 (a24)) -> (~(hskp10)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (~(c2_1 (a16))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp19)) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (~(c2_1 (a6))) -> (~(hskp13)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/(hskp13))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> False). % 1.14/1.34 do 0 intro. intros zenon_H167 zenon_H162 zenon_Hde zenon_H1c2 zenon_H1a zenon_H233 zenon_H234 zenon_H235 zenon_H102 zenon_H103 zenon_H104 zenon_H2d zenon_H43 zenon_Hfc zenon_Heb zenon_Hea zenon_He9 zenon_H14a zenon_H144 zenon_H256 zenon_H255 zenon_H254 zenon_H5 zenon_H247 zenon_H1c1. % 1.14/1.34 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H12c | zenon_intro zenon_H148 ]. % 1.14/1.34 apply (zenon_L457_); trivial. % 1.14/1.34 apply (zenon_L319_); trivial. % 1.14/1.34 (* end of lemma zenon_L458_ *) % 1.14/1.34 assert (zenon_L459_ : ((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> (~(c0_1 (a24))) -> (~(c1_1 (a24))) -> (c2_1 (a24)) -> (~(hskp10)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> False). % 1.14/1.34 do 0 intro. intros zenon_H176 zenon_H177 zenon_H233 zenon_H234 zenon_H235 zenon_H102 zenon_H103 zenon_H104 zenon_H2d zenon_H43. % 1.14/1.34 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1a. zenon_intro zenon_H178. % 1.14/1.34 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H16a. zenon_intro zenon_H179. % 1.14/1.34 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H171. zenon_intro zenon_H168. % 1.14/1.34 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hd6 ]. % 1.14/1.34 apply (zenon_L454_); trivial. % 1.14/1.34 apply (zenon_L440_); trivial. % 1.14/1.34 (* end of lemma zenon_L459_ *) % 1.14/1.34 assert (zenon_L460_ : ((ndr1_0)/\((c2_1 (a24))/\((~(c0_1 (a24)))/\(~(c1_1 (a24)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/(hskp13))) -> (~(hskp13)) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(c2_1 (a16))) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp10)) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> (~(hskp1)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> False). % 1.14/1.34 do 0 intro. intros zenon_H10d zenon_H17b zenon_H177 zenon_H1c1 zenon_H247 zenon_H5 zenon_H254 zenon_H255 zenon_H256 zenon_H14a zenon_He9 zenon_Hea zenon_Heb zenon_Hfc zenon_H43 zenon_H2d zenon_H235 zenon_H234 zenon_H233 zenon_H1c2 zenon_Hde zenon_H162 zenon_H167. % 1.14/1.34 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_H1a. zenon_intro zenon_H10f. % 1.14/1.34 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H104. zenon_intro zenon_H110. % 1.14/1.34 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_H102. zenon_intro zenon_H103. % 1.14/1.34 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.14/1.34 apply (zenon_L458_); trivial. % 1.14/1.34 apply (zenon_L459_); trivial. % 1.14/1.34 (* end of lemma zenon_L460_ *) % 1.14/1.34 assert (zenon_L461_ : ((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> (~(hskp10)) -> False). % 1.14/1.34 do 0 intro. intros zenon_H161 zenon_H43 zenon_H235 zenon_H234 zenon_H233 zenon_H2d. % 1.14/1.34 apply (zenon_and_s _ _ zenon_H161). zenon_intro zenon_H1a. zenon_intro zenon_H163. % 1.14/1.34 apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H159. zenon_intro zenon_H164. % 1.14/1.34 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H15a. zenon_intro zenon_H158. % 1.14/1.34 apply (zenon_or_s _ _ zenon_H43); [ zenon_intro zenon_H1b | zenon_intro zenon_H47 ]. % 1.14/1.34 apply (zenon_L242_); trivial. % 1.14/1.34 apply (zenon_or_s _ _ zenon_H47); [ zenon_intro zenon_H31 | zenon_intro zenon_H2e ]. % 1.14/1.34 apply (zenon_L88_); trivial. % 1.14/1.34 exact (zenon_H2d zenon_H2e). % 1.14/1.34 (* end of lemma zenon_L461_ *) % 1.14/1.34 assert (zenon_L462_ : ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp10)) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> ((hskp25)\/((hskp17)\/(hskp21))) -> (~(hskp17)) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> (~(hskp19)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> False). % 1.14/1.34 do 0 intro. intros zenon_H166 zenon_H43 zenon_H2d zenon_H235 zenon_H234 zenon_H233 zenon_H130 zenon_H9 zenon_H254 zenon_H255 zenon_H256 zenon_H144 zenon_H14a zenon_H167. % 1.14/1.34 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H12e | zenon_intro zenon_H161 ]. % 1.14/1.34 apply (zenon_L320_); trivial. % 1.14/1.34 apply (zenon_L461_); trivial. % 1.14/1.34 (* end of lemma zenon_L462_ *) % 1.14/1.34 assert (zenon_L463_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> (~(c0_1 (a24))) -> (~(c1_1 (a24))) -> (c2_1 (a24)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (~(c2_1 (a6))) -> (~(hskp17)) -> ((hskp25)\/((hskp17)\/(hskp21))) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> (~(hskp10)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> False). % 1.14/1.34 do 0 intro. intros zenon_H17b zenon_H177 zenon_H102 zenon_H103 zenon_H104 zenon_H167 zenon_H14a zenon_H256 zenon_H255 zenon_H254 zenon_H9 zenon_H130 zenon_H233 zenon_H234 zenon_H235 zenon_H2d zenon_H43 zenon_H166. % 1.14/1.34 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.14/1.34 apply (zenon_L462_); trivial. % 1.14/1.34 apply (zenon_L459_); trivial. % 1.14/1.34 (* end of lemma zenon_L463_ *) % 1.14/1.34 assert (zenon_L464_ : ((ndr1_0)/\((c2_1 (a24))/\((~(c0_1 (a24)))/\(~(c1_1 (a24)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> (~(c3_1 (a22))) -> (~(c2_1 (a22))) -> (~(c0_1 (a22))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp10)) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> ((hskp25)\/((hskp17)\/(hskp21))) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> False). % 1.14/1.34 do 0 intro. intros zenon_H10d zenon_H9c zenon_H1ee zenon_H81 zenon_H89 zenon_H80 zenon_H166 zenon_H43 zenon_H2d zenon_H235 zenon_H234 zenon_H233 zenon_H130 zenon_H254 zenon_H255 zenon_H256 zenon_H14a zenon_H167 zenon_H177 zenon_H17b. % 1.14/1.34 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_H1a. zenon_intro zenon_H10f. % 1.14/1.34 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H104. zenon_intro zenon_H110. % 1.14/1.34 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_H102. zenon_intro zenon_H103. % 1.14/1.34 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.14/1.34 apply (zenon_L463_); trivial. % 1.14/1.34 apply (zenon_L442_); trivial. % 1.14/1.34 (* end of lemma zenon_L464_ *) % 1.14/1.34 assert (zenon_L465_ : ((~(hskp11))\/((ndr1_0)/\((c2_1 (a19))/\((~(c1_1 (a19)))/\(~(c3_1 (a19))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(hskp7)) -> (~(hskp7)) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a24))/\((~(c0_1 (a24)))/\(~(c1_1 (a24))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> (~(hskp1)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> ((hskp25)\/((hskp17)\/(hskp21))) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a11))/\((c1_1 (a11))/\(c3_1 (a11)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((hskp2)\/(hskp14))) -> (~(hskp2)) -> (~(c2_1 (a16))) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp27)\/(hskp26))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/(hskp13))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c0_1 (a22)))/\((~(c2_1 (a22)))/\(~(c3_1 (a22))))))) -> False). % 1.14/1.34 do 0 intro. intros zenon_H213 zenon_Hb7 zenon_H1 zenon_H112 zenon_H17a zenon_H177 zenon_Hde zenon_H162 zenon_H166 zenon_H43 zenon_H2d zenon_H12a zenon_H130 zenon_H254 zenon_H255 zenon_H256 zenon_H14a zenon_H167 zenon_H97 zenon_H113 zenon_Hfe zenon_He9 zenon_Hea zenon_Heb zenon_Hfc zenon_H235 zenon_H234 zenon_H233 zenon_H1f2 zenon_H1c1 zenon_H17b zenon_H1da zenon_H1ee zenon_H1c2 zenon_H1c6 zenon_H247 zenon_H93 zenon_H9c zenon_H287. % 1.14/1.34 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H91 | zenon_intro zenon_He5 ]. % 1.14/1.34 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H5 | zenon_intro zenon_H284 ]. % 1.14/1.34 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_H100 | zenon_intro zenon_H10d ]. % 1.14/1.34 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.14/1.34 apply (zenon_L448_); trivial. % 1.14/1.34 apply (zenon_L453_); trivial. % 1.14/1.34 apply (zenon_L460_); trivial. % 1.14/1.34 apply (zenon_and_s _ _ zenon_H284). zenon_intro zenon_H1a. zenon_intro zenon_H285. % 1.14/1.34 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_H80. zenon_intro zenon_H286. % 1.14/1.34 apply (zenon_and_s _ _ zenon_H286). zenon_intro zenon_H89. zenon_intro zenon_H81. % 1.14/1.34 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_H100 | zenon_intro zenon_H10d ]. % 1.14/1.34 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.14/1.34 apply (zenon_L448_); trivial. % 1.14/1.34 apply (zenon_L442_); trivial. % 1.14/1.34 apply (zenon_L464_); trivial. % 1.14/1.34 apply (zenon_L62_); trivial. % 1.14/1.34 (* end of lemma zenon_L465_ *) % 1.14/1.34 assert (zenon_L466_ : ((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> (~(hskp10)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(c3_1 (a32))) -> (~(c1_1 (a32))) -> (~(c0_1 (a32))) -> False). % 1.14/1.34 do 0 intro. intros zenon_H176 zenon_H177 zenon_H233 zenon_H234 zenon_H235 zenon_H2d zenon_H43 zenon_H151 zenon_H150 zenon_H14f. % 1.14/1.34 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1a. zenon_intro zenon_H178. % 1.14/1.34 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H16a. zenon_intro zenon_H179. % 1.14/1.34 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H171. zenon_intro zenon_H168. % 1.14/1.34 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hd6 ]. % 1.14/1.34 apply (zenon_L87_); trivial. % 1.14/1.34 apply (zenon_L440_); trivial. % 1.14/1.34 (* end of lemma zenon_L466_ *) % 1.14/1.34 assert (zenon_L467_ : ((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (~(c2_1 (a6))) -> (~(hskp17)) -> ((hskp25)\/((hskp17)\/(hskp21))) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> (~(hskp10)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> False). % 1.14/1.34 do 0 intro. intros zenon_H17c zenon_H17b zenon_H177 zenon_H167 zenon_H14a zenon_H256 zenon_H255 zenon_H254 zenon_H9 zenon_H130 zenon_H233 zenon_H234 zenon_H235 zenon_H2d zenon_H43 zenon_H166. % 1.14/1.34 apply (zenon_and_s _ _ zenon_H17c). zenon_intro zenon_H1a. zenon_intro zenon_H17d. % 1.14/1.34 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H14f. zenon_intro zenon_H17e. % 1.14/1.34 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_H150. zenon_intro zenon_H151. % 1.14/1.34 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.14/1.34 apply (zenon_L462_); trivial. % 1.14/1.34 apply (zenon_L466_); trivial. % 1.14/1.34 (* end of lemma zenon_L467_ *) % 1.14/1.34 assert (zenon_L468_ : ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (~(c2_1 (a6))) -> ((hskp25)\/((hskp17)\/(hskp21))) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> (~(hskp10)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> (ndr1_0) -> (~(c2_1 (a14))) -> (c0_1 (a14)) -> (c3_1 (a14)) -> (~(hskp17)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> False). % 1.14/1.34 do 0 intro. intros zenon_H17a zenon_H17b zenon_H177 zenon_H167 zenon_H14a zenon_H256 zenon_H255 zenon_H254 zenon_H130 zenon_H233 zenon_H234 zenon_H235 zenon_H2d zenon_H43 zenon_H166 zenon_H1a zenon_H11f zenon_H120 zenon_H121 zenon_H9 zenon_H12a. % 1.14/1.34 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H128 | zenon_intro zenon_H17c ]. % 1.14/1.34 apply (zenon_L78_); trivial. % 1.14/1.34 apply (zenon_L467_); trivial. % 1.14/1.34 (* end of lemma zenon_L468_ *) % 1.14/1.34 assert (zenon_L469_ : ((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> (~(hskp11)) -> (~(c1_1 (a31))) -> (c2_1 (a31)) -> (c0_1 (a31)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/(hskp13))) -> (c2_1 (a3)) -> (c3_1 (a3)) -> (c1_1 (a3)) -> (~(c2_1 (a14))) -> (c0_1 (a14)) -> (c3_1 (a14)) -> (~(hskp19)) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp13)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp10)) -> False). % 1.14/1.34 do 0 intro. intros zenon_H1be zenon_H43 zenon_H235 zenon_H234 zenon_H233 zenon_H91 zenon_H32 zenon_H33 zenon_H3c zenon_H247 zenon_H1e zenon_H1f zenon_H1d zenon_H11f zenon_H120 zenon_H121 zenon_H144 zenon_H254 zenon_H255 zenon_H256 zenon_H14a zenon_H5 zenon_H93 zenon_H2d. % 1.14/1.34 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H1a. zenon_intro zenon_H1bf. % 1.14/1.34 apply (zenon_and_s _ _ zenon_H1bf). zenon_intro zenon_H1b5. zenon_intro zenon_H1c0. % 1.14/1.34 apply (zenon_and_s _ _ zenon_H1c0). zenon_intro zenon_H1b6. zenon_intro zenon_H1b7. % 1.14/1.34 apply (zenon_or_s _ _ zenon_H43); [ zenon_intro zenon_H1b | zenon_intro zenon_H47 ]. % 1.14/1.34 apply (zenon_L242_); trivial. % 1.14/1.34 apply (zenon_or_s _ _ zenon_H47); [ zenon_intro zenon_H31 | zenon_intro zenon_H2e ]. % 1.14/1.34 apply (zenon_L403_); trivial. % 1.14/1.34 exact (zenon_H2d zenon_H2e). % 1.14/1.34 (* end of lemma zenon_L469_ *) % 1.14/1.34 assert (zenon_L470_ : ((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/(hskp13))) -> (~(hskp13)) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> (~(c2_1 (a14))) -> (c0_1 (a14)) -> (c3_1 (a14)) -> (~(hskp19)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp11)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> (~(hskp20)) -> (c0_1 (a31)) -> (c2_1 (a31)) -> (~(c1_1 (a31))) -> (~(hskp10)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> False). % 1.14/1.34 do 0 intro. intros zenon_H41 zenon_H1c1 zenon_H247 zenon_H5 zenon_H254 zenon_H255 zenon_H256 zenon_H11f zenon_H120 zenon_H121 zenon_H144 zenon_H14a zenon_H91 zenon_H93 zenon_H233 zenon_H234 zenon_H235 zenon_H1c6 zenon_H1c4 zenon_H3c zenon_H33 zenon_H32 zenon_H2d zenon_H43. % 1.14/1.34 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H1a. zenon_intro zenon_H44. % 1.14/1.34 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H1d. zenon_intro zenon_H45. % 1.14/1.34 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H1e. zenon_intro zenon_H1f. % 1.14/1.34 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1be ]. % 1.14/1.34 apply (zenon_L449_); trivial. % 1.14/1.34 apply (zenon_L469_); trivial. % 1.14/1.34 (* end of lemma zenon_L470_ *) % 1.14/1.34 assert (zenon_L471_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/(hskp13))) -> (~(hskp13)) -> (~(c2_1 (a14))) -> (c0_1 (a14)) -> (c3_1 (a14)) -> (~(hskp19)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp11)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> (~(hskp20)) -> (c0_1 (a31)) -> (c2_1 (a31)) -> (~(c1_1 (a31))) -> (~(hskp10)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (ndr1_0) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> (~(hskp9)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((hskp9)\/(hskp24))) -> False). % 1.14/1.34 do 0 intro. intros zenon_H48 zenon_H1c1 zenon_H247 zenon_H5 zenon_H11f zenon_H120 zenon_H121 zenon_H144 zenon_H14a zenon_H91 zenon_H93 zenon_H233 zenon_H234 zenon_H235 zenon_H1c6 zenon_H1c4 zenon_H3c zenon_H33 zenon_H32 zenon_H2d zenon_H43 zenon_H1a zenon_H254 zenon_H255 zenon_H256 zenon_H3 zenon_H7b. % 1.14/1.34 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H11 | zenon_intro zenon_H41 ]. % 1.14/1.34 apply (zenon_L329_); trivial. % 1.14/1.34 apply (zenon_L470_); trivial. % 1.14/1.34 (* end of lemma zenon_L471_ *) % 1.14/1.34 assert (zenon_L472_ : ((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (~(c2_1 (a6))) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> (~(c1_1 (a31))) -> (c2_1 (a31)) -> (c0_1 (a31)) -> (~(hskp10)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(c0_1 (a37))) -> (~(c3_1 (a37))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp19)) -> (c3_1 (a14)) -> (c0_1 (a14)) -> (~(c2_1 (a14))) -> (~(hskp13)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/(hskp13))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> False). % 1.14/1.34 do 0 intro. intros zenon_H41 zenon_H167 zenon_H1ee zenon_H256 zenon_H255 zenon_H254 zenon_H233 zenon_H234 zenon_H235 zenon_H32 zenon_H33 zenon_H3c zenon_H2d zenon_H43 zenon_H1ce zenon_H1cf zenon_H1c2 zenon_H93 zenon_H91 zenon_H14a zenon_H144 zenon_H121 zenon_H120 zenon_H11f zenon_H5 zenon_H247 zenon_H1c1. % 1.14/1.34 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H1a. zenon_intro zenon_H44. % 1.14/1.34 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H1d. zenon_intro zenon_H45. % 1.14/1.34 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H1e. zenon_intro zenon_H1f. % 1.14/1.34 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H12c | zenon_intro zenon_H148 ]. % 1.14/1.34 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1be ]. % 1.14/1.34 apply (zenon_L450_); trivial. % 1.14/1.34 apply (zenon_L469_); trivial. % 1.14/1.34 apply (zenon_L319_); trivial. % 1.14/1.34 (* end of lemma zenon_L472_ *) % 1.14/1.34 assert (zenon_L473_ : ((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/(hskp13))) -> (~(hskp13)) -> (~(c2_1 (a14))) -> (c0_1 (a14)) -> (c3_1 (a14)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp11)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> (~(hskp10)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> (~(hskp9)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((hskp9)\/(hskp24))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> False). % 1.14/1.34 do 0 intro. intros zenon_H9e zenon_H17b zenon_H48 zenon_H1c1 zenon_H247 zenon_H5 zenon_H11f zenon_H120 zenon_H121 zenon_H14a zenon_H91 zenon_H93 zenon_H233 zenon_H234 zenon_H235 zenon_H1c6 zenon_H2d zenon_H43 zenon_H254 zenon_H255 zenon_H256 zenon_H3 zenon_H7b zenon_H1c2 zenon_H1ee zenon_H167 zenon_H1da. % 1.14/1.34 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.14/1.34 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.14/1.34 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.14/1.34 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.14/1.34 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.14/1.34 apply (zenon_L471_); trivial. % 1.14/1.34 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H1a. zenon_intro zenon_H1d8. % 1.14/1.34 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1d0. zenon_intro zenon_H1d9. % 1.14/1.34 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1ce. zenon_intro zenon_H1cf. % 1.14/1.34 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H11 | zenon_intro zenon_H41 ]. % 1.14/1.34 apply (zenon_L329_); trivial. % 1.14/1.34 apply (zenon_L472_); trivial. % 1.14/1.34 apply (zenon_L452_); trivial. % 1.14/1.34 (* end of lemma zenon_L473_ *) % 1.14/1.34 assert (zenon_L474_ : ((ndr1_0)/\((~(c0_1 (a22)))/\((~(c2_1 (a22)))/\(~(c3_1 (a22)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> (c3_1 (a14)) -> (c0_1 (a14)) -> (~(c2_1 (a14))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp10)) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> ((hskp25)\/((hskp17)\/(hskp21))) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> False). % 1.14/1.34 do 0 intro. intros zenon_H284 zenon_H9c zenon_H1ee zenon_H12a zenon_H121 zenon_H120 zenon_H11f zenon_H166 zenon_H43 zenon_H2d zenon_H235 zenon_H234 zenon_H233 zenon_H130 zenon_H254 zenon_H255 zenon_H256 zenon_H14a zenon_H167 zenon_H177 zenon_H17b zenon_H17a. % 1.14/1.34 apply (zenon_and_s _ _ zenon_H284). zenon_intro zenon_H1a. zenon_intro zenon_H285. % 1.14/1.34 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_H80. zenon_intro zenon_H286. % 1.14/1.34 apply (zenon_and_s _ _ zenon_H286). zenon_intro zenon_H89. zenon_intro zenon_H81. % 1.14/1.34 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.14/1.34 apply (zenon_L468_); trivial. % 1.14/1.34 apply (zenon_L442_); trivial. % 1.14/1.34 (* end of lemma zenon_L474_ *) % 1.14/1.34 assert (zenon_L475_ : ((~(hskp13))\/((ndr1_0)/\((~(c0_1 (a22)))/\((~(c2_1 (a22)))/\(~(c3_1 (a22))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (~(c2_1 (a6))) -> ((hskp25)\/((hskp17)\/(hskp21))) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> (~(hskp10)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> (ndr1_0) -> (~(c2_1 (a14))) -> (c0_1 (a14)) -> (c3_1 (a14)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((hskp9)\/(hskp24))) -> (~(hskp9)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/(hskp13))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> False). % 1.14/1.34 do 0 intro. intros zenon_H287 zenon_H17a zenon_H17b zenon_H177 zenon_H167 zenon_H14a zenon_H256 zenon_H255 zenon_H254 zenon_H130 zenon_H233 zenon_H234 zenon_H235 zenon_H2d zenon_H43 zenon_H166 zenon_H1a zenon_H11f zenon_H120 zenon_H121 zenon_H12a zenon_H1da zenon_H1ee zenon_H1c2 zenon_H7b zenon_H3 zenon_H1c6 zenon_H93 zenon_H91 zenon_H247 zenon_H1c1 zenon_H48 zenon_H9c. % 1.14/1.34 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H5 | zenon_intro zenon_H284 ]. % 1.14/1.34 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.14/1.34 apply (zenon_L468_); trivial. % 1.14/1.34 apply (zenon_L473_); trivial. % 1.14/1.34 apply (zenon_L474_); trivial. % 1.14/1.34 (* end of lemma zenon_L475_ *) % 1.14/1.34 assert (zenon_L476_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (c2_1 (a19)) -> (~(c3_1 (a19))) -> (~(c1_1 (a19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> (~(hskp25)) -> (~(c3_1 (a37))) -> (~(c0_1 (a37))) -> (ndr1_0) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp10)) -> (c0_1 (a31)) -> (c2_1 (a31)) -> (~(c1_1 (a31))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> False). % 1.14/1.34 do 0 intro. intros zenon_H1c1 zenon_Hd3 zenon_Hb0 zenon_Haf zenon_Hae zenon_H1c2 zenon_H12c zenon_H1cf zenon_H1ce zenon_H1a zenon_H43 zenon_H2d zenon_H3c zenon_H33 zenon_H32 zenon_H235 zenon_H234 zenon_H233 zenon_H254 zenon_H255 zenon_H256 zenon_H1ee. % 1.14/1.34 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1be ]. % 1.14/1.34 apply (zenon_L450_); trivial. % 1.14/1.34 apply (zenon_L134_); trivial. % 1.14/1.34 (* end of lemma zenon_L476_ *) % 1.14/1.34 assert (zenon_L477_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp19)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (~(c2_1 (a6))) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> (~(hskp10)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> (~(hskp1)) -> (~(c1_1 (a31))) -> (c2_1 (a31)) -> (c0_1 (a31)) -> (ndr1_0) -> (~(c3_1 (a19))) -> (~(c1_1 (a19))) -> (c2_1 (a19)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> False). % 1.14/1.34 do 0 intro. intros zenon_H1da zenon_H167 zenon_H14a zenon_H144 zenon_H1ee zenon_H256 zenon_H255 zenon_H254 zenon_H233 zenon_H234 zenon_H235 zenon_H2d zenon_H43 zenon_H1c2 zenon_H162 zenon_Hde zenon_H32 zenon_H33 zenon_H3c zenon_H1a zenon_Haf zenon_Hae zenon_Hb0 zenon_H1c6 zenon_Hd3 zenon_H1c1. % 1.14/1.34 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.14/1.34 apply (zenon_L142_); trivial. % 1.14/1.34 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H1a. zenon_intro zenon_H1d8. % 1.14/1.34 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1d0. zenon_intro zenon_H1d9. % 1.14/1.34 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1ce. zenon_intro zenon_H1cf. % 1.14/1.34 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H12c | zenon_intro zenon_H148 ]. % 1.14/1.34 apply (zenon_L476_); trivial. % 1.14/1.34 apply (zenon_L319_); trivial. % 1.14/1.34 (* end of lemma zenon_L477_ *) % 1.14/1.34 assert (zenon_L478_ : ((ndr1_0)/\((c0_1 (a11))/\((c1_1 (a11))/\(c3_1 (a11))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> (~(hskp26)) -> (~(hskp25)) -> (~(c0_1 (a37))) -> (~(c3_1 (a37))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp19)) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (~(c2_1 (a6))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> (~(c0_1 (a7))) -> (c2_1 (a18)) -> (c0_1 (a18)) -> (~(c3_1 (a18))) -> (~(hskp11)) -> False). % 1.14/1.34 do 0 intro. intros zenon_H98 zenon_H1ee zenon_H1b3 zenon_H12c zenon_H1ce zenon_H1cf zenon_H1c2 zenon_H14a zenon_H144 zenon_H256 zenon_H255 zenon_H254 zenon_Hd3 zenon_H93 zenon_H234 zenon_H235 zenon_H233 zenon_Hc2 zenon_He0 zenon_Hc1 zenon_H91. % 1.14/1.34 apply (zenon_and_s _ _ zenon_H98). zenon_intro zenon_H1a. zenon_intro zenon_H99. % 1.14/1.34 apply (zenon_and_s _ _ zenon_H99). zenon_intro zenon_H9b. zenon_intro zenon_H9a. % 1.14/1.34 apply (zenon_and_s _ _ zenon_H9a). zenon_intro zenon_H6f. zenon_intro zenon_H70. % 1.14/1.34 apply (zenon_or_s _ _ zenon_H1ee); [ zenon_intro zenon_H1e7 | zenon_intro zenon_H1ef ]. % 1.14/1.34 apply (zenon_L167_); trivial. % 1.14/1.34 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H3b | zenon_intro zenon_H6d ]. % 1.14/1.34 apply (zenon_L342_); trivial. % 1.14/1.34 apply (zenon_L261_); trivial. % 1.14/1.34 (* end of lemma zenon_L478_ *) % 1.14/1.34 assert (zenon_L479_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp27)\/(hskp26))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp19)) -> (~(c3_1 (a18))) -> (c2_1 (a18)) -> (c0_1 (a18)) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (~(c2_1 (a6))) -> (ndr1_0) -> (c1_1 (a3)) -> (c2_1 (a3)) -> (c3_1 (a3)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> (~(hskp25)) -> (~(c3_1 (a37))) -> (~(c0_1 (a37))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp11)) -> (c1_1 (a7)) -> (c3_1 (a7)) -> (~(c0_1 (a7))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a11))/\((c1_1 (a11))/\(c3_1 (a11)))))) -> False). % 1.14/1.34 do 0 intro. intros zenon_H1c1 zenon_H1f2 zenon_H14a zenon_H144 zenon_Hc1 zenon_Hc2 zenon_He0 zenon_H256 zenon_H255 zenon_H254 zenon_H1a zenon_H1d zenon_H1e zenon_H1f zenon_Hd3 zenon_H1c2 zenon_H12c zenon_H1cf zenon_H1ce zenon_H93 zenon_H91 zenon_H234 zenon_H235 zenon_H233 zenon_H1ee zenon_H97. % 1.14/1.34 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1be ]. % 1.14/1.34 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H98 ]. % 1.14/1.34 apply (zenon_L341_); trivial. % 1.14/1.34 apply (zenon_L478_); trivial. % 1.14/1.34 apply (zenon_L338_); trivial. % 1.14/1.34 (* end of lemma zenon_L479_ *) % 1.14/1.34 assert (zenon_L480_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (ndr1_0) -> (~(c3_1 (a18))) -> (c0_1 (a18)) -> (c2_1 (a18)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((hskp9)\/(hskp24))) -> (~(hskp9)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp27)\/(hskp26))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp11)) -> (c1_1 (a7)) -> (c3_1 (a7)) -> (~(c0_1 (a7))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a11))/\((c1_1 (a11))/\(c3_1 (a11)))))) -> (c3_1 (a14)) -> (~(c2_1 (a14))) -> (c0_1 (a14)) -> (~(hskp15)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> False). % 1.14/1.34 do 0 intro. intros zenon_H17b zenon_H1c1 zenon_Hd3 zenon_H254 zenon_H255 zenon_H256 zenon_H14a zenon_H1a zenon_Hc1 zenon_He0 zenon_Hc2 zenon_H1c6 zenon_H7b zenon_H3 zenon_H1f2 zenon_H1c2 zenon_H93 zenon_H91 zenon_H234 zenon_H235 zenon_H233 zenon_H1ee zenon_H97 zenon_H121 zenon_H11f zenon_H120 zenon_H146 zenon_H149 zenon_H167 zenon_H48 zenon_H1da. % 1.14/1.34 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.14/1.34 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.14/1.34 apply (zenon_L339_); trivial. % 1.14/1.34 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H1a. zenon_intro zenon_H1d8. % 1.14/1.34 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1d0. zenon_intro zenon_H1d9. % 1.14/1.34 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1ce. zenon_intro zenon_H1cf. % 1.14/1.34 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H11 | zenon_intro zenon_H41 ]. % 1.14/1.34 apply (zenon_L329_); trivial. % 1.14/1.34 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H1a. zenon_intro zenon_H44. % 1.14/1.34 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H1d. zenon_intro zenon_H45. % 1.14/1.34 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H1e. zenon_intro zenon_H1f. % 1.14/1.34 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H12c | zenon_intro zenon_H148 ]. % 1.14/1.34 apply (zenon_L479_); trivial. % 1.14/1.34 apply (zenon_L86_); trivial. % 1.14/1.34 apply (zenon_L153_); trivial. % 1.14/1.34 (* end of lemma zenon_L480_ *) % 1.14/1.34 assert (zenon_L481_ : ((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a11))/\((c1_1 (a11))/\(c3_1 (a11)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> (~(c0_1 (a7))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(hskp11)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(c0_1 (a37))) -> (~(c3_1 (a37))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> (c0_1 (a18)) -> (c2_1 (a18)) -> (~(c3_1 (a18))) -> (~(hskp19)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp27)\/(hskp26))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> False). % 1.14/1.34 do 0 intro. intros zenon_H41 zenon_H167 zenon_H97 zenon_H1ee zenon_H233 zenon_H235 zenon_H234 zenon_H91 zenon_H93 zenon_H1ce zenon_H1cf zenon_H1c2 zenon_Hd3 zenon_H254 zenon_H255 zenon_H256 zenon_He0 zenon_Hc2 zenon_Hc1 zenon_H144 zenon_H14a zenon_H1f2 zenon_H1c1. % 1.14/1.34 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H1a. zenon_intro zenon_H44. % 1.14/1.34 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H1d. zenon_intro zenon_H45. % 1.14/1.34 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H1e. zenon_intro zenon_H1f. % 1.14/1.34 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H12c | zenon_intro zenon_H148 ]. % 1.14/1.34 apply (zenon_L479_); trivial. % 1.14/1.34 apply (zenon_L319_); trivial. % 1.14/1.34 (* end of lemma zenon_L481_ *) % 1.14/1.34 assert (zenon_L482_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a11))/\((c1_1 (a11))/\(c3_1 (a11)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> (~(c0_1 (a7))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(hskp11)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(c0_1 (a37))) -> (~(c3_1 (a37))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> (c0_1 (a18)) -> (c2_1 (a18)) -> (~(c3_1 (a18))) -> (~(hskp19)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp27)\/(hskp26))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> (~(hskp23)) -> (~(hskp0)) -> ((hskp24)\/((hskp23)\/(hskp0))) -> False). % 1.14/1.34 do 0 intro. intros zenon_H48 zenon_H167 zenon_H97 zenon_H1ee zenon_H233 zenon_H235 zenon_H234 zenon_H91 zenon_H93 zenon_H1ce zenon_H1cf zenon_H1c2 zenon_Hd3 zenon_H254 zenon_H255 zenon_H256 zenon_He0 zenon_Hc2 zenon_Hc1 zenon_H144 zenon_H14a zenon_H1f2 zenon_H1c1 zenon_H13 zenon_H15 zenon_H17. % 1.14/1.34 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H11 | zenon_intro zenon_H41 ]. % 1.14/1.34 apply (zenon_L12_); trivial. % 1.14/1.34 apply (zenon_L481_); trivial. % 1.14/1.34 (* end of lemma zenon_L482_ *) % 1.14/1.34 assert (zenon_L483_ : ((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(~(c3_1 (a25)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(c3_1 (a18))) -> (c0_1 (a18)) -> (c2_1 (a18)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a11))/\((c1_1 (a11))/\(c3_1 (a11)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> (~(c0_1 (a7))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(hskp11)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp27)\/(hskp26))) -> (~(hskp0)) -> ((hskp24)\/((hskp23)\/(hskp0))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(hskp0))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> (c3_1 (a14)) -> (c0_1 (a14)) -> (~(c2_1 (a14))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> (~(hskp1)) -> ((hskp25)\/((hskp17)\/(hskp21))) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> False). % 1.14/1.34 do 0 intro. intros zenon_H19f zenon_H9c zenon_H1c1 zenon_Hd3 zenon_Hc1 zenon_He0 zenon_Hc2 zenon_H1c6 zenon_H48 zenon_H97 zenon_H1ee zenon_H233 zenon_H235 zenon_H234 zenon_H91 zenon_H93 zenon_H1c2 zenon_H1f2 zenon_H15 zenon_H17 zenon_Hfc zenon_H63 zenon_H9d zenon_H1da zenon_H12a zenon_H121 zenon_H120 zenon_H11f zenon_H166 zenon_H162 zenon_Hde zenon_H130 zenon_H254 zenon_H255 zenon_H256 zenon_H14a zenon_H167 zenon_H177 zenon_H17b zenon_H17a. % 1.14/1.34 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H1a. zenon_intro zenon_H1a0. % 1.14/1.34 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H18f. zenon_intro zenon_H1a1. % 1.14/1.34 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H19a. zenon_intro zenon_H18e. % 1.14/1.34 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.14/1.34 apply (zenon_L411_); trivial. % 1.14/1.34 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.14/1.34 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.14/1.34 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.14/1.34 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.14/1.34 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.14/1.34 apply (zenon_L339_); trivial. % 1.14/1.34 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H1a. zenon_intro zenon_H1d8. % 1.14/1.34 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1d0. zenon_intro zenon_H1d9. % 1.14/1.34 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1ce. zenon_intro zenon_H1cf. % 1.14/1.34 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H13 | zenon_intro zenon_Ha1 ]. % 1.14/1.34 apply (zenon_L482_); trivial. % 1.14/1.34 apply (zenon_L119_); trivial. % 1.14/1.34 apply (zenon_L153_); trivial. % 1.14/1.34 (* end of lemma zenon_L483_ *) % 1.14/1.34 assert (zenon_L484_ : ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (~(hskp15)) -> (c0_1 (a14)) -> (~(c2_1 (a14))) -> (c3_1 (a14)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> (ndr1_0) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> (~(c0_1 (a24))) -> (~(c1_1 (a24))) -> (c2_1 (a24)) -> (~(hskp10)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (~(c2_1 (a16))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp19)) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (~(c2_1 (a6))) -> (~(hskp13)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/(hskp13))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> False). % 1.14/1.34 do 0 intro. intros zenon_H167 zenon_H149 zenon_H146 zenon_H120 zenon_H11f zenon_H121 zenon_H162 zenon_Hde zenon_H1c2 zenon_H1a zenon_H233 zenon_H234 zenon_H235 zenon_H102 zenon_H103 zenon_H104 zenon_H2d zenon_H43 zenon_Hfc zenon_Heb zenon_Hea zenon_He9 zenon_H14a zenon_H144 zenon_H256 zenon_H255 zenon_H254 zenon_H5 zenon_H247 zenon_H1c1. % 1.14/1.34 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H12c | zenon_intro zenon_H148 ]. % 1.14/1.34 apply (zenon_L457_); trivial. % 1.14/1.34 apply (zenon_L86_); trivial. % 1.14/1.34 (* end of lemma zenon_L484_ *) % 1.14/1.34 assert (zenon_L485_ : ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp24))) -> (~(hskp10)) -> (~(c0_1 (a24))) -> (~(c1_1 (a24))) -> (c2_1 (a24)) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (c1_1 (a25)) -> (c0_1 (a25)) -> (~(c3_1 (a25))) -> (ndr1_0) -> (~(hskp24)) -> False). % 1.14/1.34 do 0 intro. intros zenon_H1f8 zenon_H2d zenon_H102 zenon_H103 zenon_H104 zenon_H233 zenon_H234 zenon_H235 zenon_H43 zenon_H19a zenon_H18f zenon_H18e zenon_H1a zenon_H11. % 1.14/1.34 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H1f9 ]. % 1.14/1.34 apply (zenon_L454_); trivial. % 1.14/1.34 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H12 ]. % 1.14/1.34 apply (zenon_L187_); trivial. % 1.14/1.34 exact (zenon_H11 zenon_H12). % 1.14/1.34 (* end of lemma zenon_L485_ *) % 1.14/1.34 assert (zenon_L486_ : ((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (~(c2_1 (a6))) -> (~(c1_1 (a31))) -> (c2_1 (a31)) -> (c0_1 (a31)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp19)) -> (c3_1 (a14)) -> (c0_1 (a14)) -> (~(c2_1 (a14))) -> (~(hskp13)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/(hskp13))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp10)) -> (c2_1 (a24)) -> (~(c1_1 (a24))) -> (~(c0_1 (a24))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> (~(c3_1 (a25))) -> (c0_1 (a25)) -> (c1_1 (a25)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp24))) -> False). % 1.14/1.34 do 0 intro. intros zenon_H1d7 zenon_H48 zenon_H167 zenon_H1ee zenon_H256 zenon_H255 zenon_H254 zenon_H32 zenon_H33 zenon_H3c zenon_H1c2 zenon_H93 zenon_H91 zenon_H14a zenon_H144 zenon_H121 zenon_H120 zenon_H11f zenon_H5 zenon_H247 zenon_H1c1 zenon_H43 zenon_H2d zenon_H104 zenon_H103 zenon_H102 zenon_H235 zenon_H234 zenon_H233 zenon_H18e zenon_H18f zenon_H19a zenon_H1f8. % 1.14/1.34 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H1a. zenon_intro zenon_H1d8. % 1.14/1.34 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1d0. zenon_intro zenon_H1d9. % 1.14/1.34 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1ce. zenon_intro zenon_H1cf. % 1.14/1.34 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H11 | zenon_intro zenon_H41 ]. % 1.14/1.34 apply (zenon_L485_); trivial. % 1.14/1.34 apply (zenon_L472_); trivial. % 1.14/1.34 (* end of lemma zenon_L486_ *) % 1.14/1.34 assert (zenon_L487_ : ((~(hskp14))\/((ndr1_0)/\((c2_1 (a24))/\((~(c0_1 (a24)))/\(~(c1_1 (a24))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(~(c3_1 (a25))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp24))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> (~(hskp1)) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (~(c2_1 (a6))) -> ((hskp25)\/((hskp17)\/(hskp21))) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> (~(hskp10)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> (ndr1_0) -> (~(c2_1 (a14))) -> (c0_1 (a14)) -> (c3_1 (a14)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> (~(hskp2)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((hskp2)\/(hskp14))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (~(c2_1 (a16))) -> (~(hskp13)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/(hskp13))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp11)) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> False). % 1.14/1.34 do 0 intro. intros zenon_H112 zenon_H1a2 zenon_H48 zenon_H1f8 zenon_H149 zenon_H162 zenon_Hde zenon_H17a zenon_H17b zenon_H177 zenon_H167 zenon_H14a zenon_H256 zenon_H255 zenon_H254 zenon_H130 zenon_H233 zenon_H234 zenon_H235 zenon_H2d zenon_H43 zenon_H166 zenon_H1a zenon_H11f zenon_H120 zenon_H121 zenon_H12a zenon_H1da zenon_H1ee zenon_H1c2 zenon_Hfe zenon_H113 zenon_H1c6 zenon_Hfc zenon_Heb zenon_Hea zenon_He9 zenon_H5 zenon_H247 zenon_H1c1 zenon_H93 zenon_H91 zenon_H9c. % 1.14/1.34 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_H100 | zenon_intro zenon_H10d ]. % 1.14/1.34 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.14/1.34 apply (zenon_L468_); trivial. % 1.14/1.34 apply (zenon_L453_); trivial. % 1.14/1.34 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_H1a. zenon_intro zenon_H10f. % 1.14/1.34 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H104. zenon_intro zenon_H110. % 1.14/1.34 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_H102. zenon_intro zenon_H103. % 1.14/1.34 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H146 | zenon_intro zenon_H19f ]. % 1.14/1.34 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.14/1.34 apply (zenon_L484_); trivial. % 1.14/1.34 apply (zenon_L459_); trivial. % 1.14/1.34 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H1a. zenon_intro zenon_H1a0. % 1.14/1.34 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H18f. zenon_intro zenon_H1a1. % 1.14/1.34 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H19a. zenon_intro zenon_H18e. % 1.14/1.34 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.14/1.34 apply (zenon_L463_); trivial. % 1.14/1.34 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.14/1.34 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.14/1.34 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.14/1.34 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.14/1.34 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.14/1.34 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H11 | zenon_intro zenon_H41 ]. % 1.14/1.34 apply (zenon_L485_); trivial. % 1.14/1.34 apply (zenon_L470_); trivial. % 1.14/1.34 apply (zenon_L486_); trivial. % 1.14/1.34 apply (zenon_L459_); trivial. % 1.14/1.34 (* end of lemma zenon_L487_ *) % 1.14/1.34 assert (zenon_L488_ : ((~(hskp13))\/((ndr1_0)/\((~(c0_1 (a22)))/\((~(c2_1 (a22)))/\(~(c3_1 (a22))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> (~(hskp11)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/(hskp13))) -> (~(c2_1 (a16))) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((hskp2)\/(hskp14))) -> (~(hskp2)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> (c3_1 (a14)) -> (c0_1 (a14)) -> (~(c2_1 (a14))) -> (ndr1_0) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp10)) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> ((hskp25)\/((hskp17)\/(hskp21))) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> (~(hskp1)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp24))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(~(c3_1 (a25))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a24))/\((~(c0_1 (a24)))/\(~(c1_1 (a24))))))) -> False). % 1.14/1.34 do 0 intro. intros zenon_H287 zenon_H9c zenon_H91 zenon_H93 zenon_H1c1 zenon_H247 zenon_He9 zenon_Hea zenon_Heb zenon_Hfc zenon_H1c6 zenon_H113 zenon_Hfe zenon_H1c2 zenon_H1ee zenon_H1da zenon_H12a zenon_H121 zenon_H120 zenon_H11f zenon_H1a zenon_H166 zenon_H43 zenon_H2d zenon_H235 zenon_H234 zenon_H233 zenon_H130 zenon_H254 zenon_H255 zenon_H256 zenon_H14a zenon_H167 zenon_H177 zenon_H17b zenon_H17a zenon_Hde zenon_H162 zenon_H149 zenon_H1f8 zenon_H48 zenon_H1a2 zenon_H112. % 1.14/1.34 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H5 | zenon_intro zenon_H284 ]. % 1.14/1.34 apply (zenon_L487_); trivial. % 1.14/1.34 apply (zenon_L474_); trivial. % 1.14/1.34 (* end of lemma zenon_L488_ *) % 1.14/1.34 assert (zenon_L489_ : ((~(hskp11))\/((ndr1_0)/\((c2_1 (a19))/\((~(c1_1 (a19)))/\(~(c3_1 (a19))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a11))/\((c1_1 (a11))/\(c3_1 (a11)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp27)\/(hskp26))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a24))/\((~(c0_1 (a24)))/\(~(c1_1 (a24))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(~(c3_1 (a25))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp24))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> (~(hskp1)) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (~(c2_1 (a6))) -> ((hskp25)\/((hskp17)\/(hskp21))) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> (~(hskp10)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> (ndr1_0) -> (~(c2_1 (a14))) -> (c0_1 (a14)) -> (c3_1 (a14)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> (~(hskp2)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((hskp2)\/(hskp14))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (~(c2_1 (a16))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/(hskp13))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c0_1 (a22)))/\((~(c2_1 (a22)))/\(~(c3_1 (a22))))))) -> False). % 1.14/1.35 do 0 intro. intros zenon_H213 zenon_H1f0 zenon_H97 zenon_Hd3 zenon_H1f2 zenon_H95 zenon_H112 zenon_H1a2 zenon_H48 zenon_H1f8 zenon_H149 zenon_H162 zenon_Hde zenon_H17a zenon_H17b zenon_H177 zenon_H167 zenon_H14a zenon_H256 zenon_H255 zenon_H254 zenon_H130 zenon_H233 zenon_H234 zenon_H235 zenon_H2d zenon_H43 zenon_H166 zenon_H1a zenon_H11f zenon_H120 zenon_H121 zenon_H12a zenon_H1da zenon_H1ee zenon_H1c2 zenon_Hfe zenon_H113 zenon_H1c6 zenon_Hfc zenon_Heb zenon_Hea zenon_He9 zenon_H247 zenon_H1c1 zenon_H93 zenon_H9c zenon_H287. % 1.14/1.35 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H91 | zenon_intro zenon_He5 ]. % 1.14/1.35 apply (zenon_L488_); trivial. % 1.14/1.35 apply (zenon_and_s _ _ zenon_He5). zenon_intro zenon_H1a. zenon_intro zenon_He6. % 1.14/1.35 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_Hb0. zenon_intro zenon_He7. % 1.14/1.35 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hae. zenon_intro zenon_Haf. % 1.14/1.35 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H5 | zenon_intro zenon_H284 ]. % 1.14/1.35 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_H100 | zenon_intro zenon_H10d ]. % 1.14/1.35 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.14/1.35 apply (zenon_L411_); trivial. % 1.14/1.35 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.14/1.35 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.14/1.35 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.14/1.35 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.14/1.35 apply (zenon_L451_); trivial. % 1.14/1.35 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1a. zenon_intro zenon_H178. % 1.14/1.35 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H16a. zenon_intro zenon_H179. % 1.14/1.35 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H171. zenon_intro zenon_H168. % 1.14/1.35 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.14/1.35 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1be ]. % 1.14/1.35 apply (zenon_L449_); trivial. % 1.14/1.35 apply (zenon_L174_); trivial. % 1.14/1.35 apply (zenon_L436_); trivial. % 1.14/1.35 apply (zenon_L460_); trivial. % 1.14/1.35 apply (zenon_L474_); trivial. % 1.14/1.35 (* end of lemma zenon_L489_ *) % 1.14/1.35 assert (zenon_L490_ : (forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14)))))) -> (ndr1_0) -> (~(c1_1 (a5))) -> (~(c2_1 (a5))) -> (c0_1 (a5)) -> False). % 1.14/1.35 do 0 intro. intros zenon_Hf2 zenon_H1a zenon_H288 zenon_H289 zenon_H28a. % 1.14/1.35 generalize (zenon_Hf2 (a5)). zenon_intro zenon_H28b. % 1.14/1.35 apply (zenon_imply_s _ _ zenon_H28b); [ zenon_intro zenon_H19 | zenon_intro zenon_H28c ]. % 1.14/1.35 exact (zenon_H19 zenon_H1a). % 1.14/1.35 apply (zenon_or_s _ _ zenon_H28c); [ zenon_intro zenon_H28e | zenon_intro zenon_H28d ]. % 1.14/1.35 exact (zenon_H288 zenon_H28e). % 1.14/1.35 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H290 | zenon_intro zenon_H28f ]. % 1.14/1.35 exact (zenon_H289 zenon_H290). % 1.14/1.35 exact (zenon_H28f zenon_H28a). % 1.14/1.35 (* end of lemma zenon_L490_ *) % 1.14/1.35 assert (zenon_L491_ : (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (ndr1_0) -> (forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14)))))) -> (~(c1_1 (a5))) -> (~(c2_1 (a5))) -> False). % 1.14/1.35 do 0 intro. intros zenon_H4b zenon_H1a zenon_Hf2 zenon_H288 zenon_H289. % 1.14/1.35 generalize (zenon_H4b (a5)). zenon_intro zenon_H291. % 1.14/1.35 apply (zenon_imply_s _ _ zenon_H291); [ zenon_intro zenon_H19 | zenon_intro zenon_H292 ]. % 1.14/1.35 exact (zenon_H19 zenon_H1a). % 1.14/1.35 apply (zenon_or_s _ _ zenon_H292); [ zenon_intro zenon_H28a | zenon_intro zenon_H293 ]. % 1.14/1.35 apply (zenon_L490_); trivial. % 1.14/1.35 apply (zenon_or_s _ _ zenon_H293); [ zenon_intro zenon_H28e | zenon_intro zenon_H290 ]. % 1.14/1.35 exact (zenon_H288 zenon_H28e). % 1.14/1.35 exact (zenon_H289 zenon_H290). % 1.14/1.35 (* end of lemma zenon_L491_ *) % 1.14/1.35 assert (zenon_L492_ : ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((hskp2)\/(hskp14))) -> (~(c2_1 (a5))) -> (~(c1_1 (a5))) -> (ndr1_0) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(hskp2)) -> (~(hskp14)) -> False). % 1.14/1.35 do 0 intro. intros zenon_H113 zenon_H289 zenon_H288 zenon_H1a zenon_H4b zenon_Hfe zenon_H100. % 1.14/1.35 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_Hf2 | zenon_intro zenon_H114 ]. % 1.14/1.35 apply (zenon_L491_); trivial. % 1.14/1.35 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_Hff | zenon_intro zenon_H101 ]. % 1.14/1.35 exact (zenon_Hfe zenon_Hff). % 1.14/1.35 exact (zenon_H100 zenon_H101). % 1.14/1.35 (* end of lemma zenon_L492_ *) % 1.14/1.35 assert (zenon_L493_ : ((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(hskp0))) -> (~(hskp14)) -> (~(hskp2)) -> (~(c1_1 (a5))) -> (~(c2_1 (a5))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((hskp2)\/(hskp14))) -> (~(hskp0)) -> False). % 1.14/1.35 do 0 intro. intros zenon_H9e zenon_H63 zenon_H100 zenon_Hfe zenon_H288 zenon_H289 zenon_H113 zenon_H15. % 1.14/1.35 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.14/1.35 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.14/1.35 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.14/1.35 apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H4b | zenon_intro zenon_H64 ]. % 1.14/1.35 apply (zenon_L492_); trivial. % 1.14/1.35 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H5f | zenon_intro zenon_H16 ]. % 1.14/1.35 apply (zenon_L26_); trivial. % 1.14/1.35 exact (zenon_H15 zenon_H16). % 1.14/1.35 (* end of lemma zenon_L493_ *) % 1.14/1.35 assert (zenon_L494_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> (~(c1_1 (a5))) -> (~(c2_1 (a5))) -> (~(hskp2)) -> (~(hskp14)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((hskp2)\/(hskp14))) -> (~(hskp8)) -> (~(hskp4)) -> ((hskp17)\/((hskp8)\/(hskp4))) -> False). % 1.14/1.35 do 0 intro. intros zenon_H9c zenon_H63 zenon_H15 zenon_H288 zenon_H289 zenon_Hfe zenon_H100 zenon_H113 zenon_Hb zenon_Hd zenon_Hf. % 1.14/1.35 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.14/1.35 apply (zenon_L8_); trivial. % 1.14/1.35 apply (zenon_L493_); trivial. % 1.14/1.35 (* end of lemma zenon_L494_ *) % 1.14/1.35 assert (zenon_L495_ : ((ndr1_0)/\((~(c0_1 (a22)))/\((~(c2_1 (a22)))/\(~(c3_1 (a22)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a24))/\((~(c0_1 (a24)))/\(~(c1_1 (a24))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp11)) -> ((hskp24)\/((hskp23)\/(hskp0))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(hskp1)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((hskp17)\/((hskp8)\/(hskp4))) -> (~(hskp4)) -> (~(hskp8)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((hskp2)\/(hskp14))) -> (~(hskp2)) -> (~(c2_1 (a5))) -> (~(c1_1 (a5))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(hskp0))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> False). % 1.14/1.35 do 0 intro. intros zenon_H284 zenon_H112 zenon_H9d zenon_H93 zenon_H91 zenon_H17 zenon_H177 zenon_Hd3 zenon_Hde zenon_H162 zenon_H95 zenon_H48 zenon_Hf zenon_Hd zenon_Hb zenon_H113 zenon_Hfe zenon_H289 zenon_H288 zenon_H15 zenon_H63 zenon_H9c. % 1.14/1.35 apply (zenon_and_s _ _ zenon_H284). zenon_intro zenon_H1a. zenon_intro zenon_H285. % 1.14/1.35 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_H80. zenon_intro zenon_H286. % 1.14/1.35 apply (zenon_and_s _ _ zenon_H286). zenon_intro zenon_H89. zenon_intro zenon_H81. % 1.14/1.35 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_H100 | zenon_intro zenon_H10d ]. % 1.14/1.35 apply (zenon_L494_); trivial. % 1.14/1.35 apply (zenon_L300_); trivial. % 1.14/1.35 (* end of lemma zenon_L495_ *) % 1.14/1.35 assert (zenon_L496_ : ((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/(hskp13))) -> (~(hskp13)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(c2_1 (a16))) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> (~(hskp16)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((hskp26)\/(hskp16))) -> False). % 1.14/1.35 do 0 intro. intros zenon_H9e zenon_H1c1 zenon_H247 zenon_H5 zenon_Hd3 zenon_Hfc zenon_He9 zenon_Hea zenon_Heb zenon_H1fd zenon_H1ff. % 1.14/1.35 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.14/1.35 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.14/1.35 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.14/1.35 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1be ]. % 1.14/1.35 apply (zenon_L195_); trivial. % 1.14/1.35 apply (zenon_L358_); trivial. % 1.14/1.35 (* end of lemma zenon_L496_ *) % 1.14/1.35 assert (zenon_L497_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/(hskp13))) -> (~(hskp13)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(c2_1 (a16))) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> (~(hskp16)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((hskp26)\/(hskp16))) -> (~(hskp8)) -> (~(hskp4)) -> ((hskp17)\/((hskp8)\/(hskp4))) -> False). % 1.14/1.35 do 0 intro. intros zenon_H9c zenon_H1c1 zenon_H247 zenon_H5 zenon_Hd3 zenon_Hfc zenon_He9 zenon_Hea zenon_Heb zenon_H1fd zenon_H1ff zenon_Hb zenon_Hd zenon_Hf. % 1.14/1.35 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.14/1.35 apply (zenon_L8_); trivial. % 1.14/1.35 apply (zenon_L496_); trivial. % 1.14/1.35 (* end of lemma zenon_L497_ *) % 1.14/1.35 assert (zenon_L498_ : ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (c1_1 (a30)) -> (~(c0_1 (a30))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7)))))) -> (c2_1 (a24)) -> (~(c1_1 (a24))) -> (~(c0_1 (a24))) -> (ndr1_0) -> (forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z))))) -> (~(hskp10)) -> False). % 1.14/1.35 do 0 intro. intros zenon_H43 zenon_H203 zenon_H201 zenon_H7f zenon_H104 zenon_H103 zenon_H102 zenon_H1a zenon_Hb8 zenon_H2d. % 1.14/1.35 apply (zenon_or_s _ _ zenon_H43); [ zenon_intro zenon_H1b | zenon_intro zenon_H47 ]. % 1.14/1.35 generalize (zenon_H7f (a30)). zenon_intro zenon_H26f. % 1.14/1.35 apply (zenon_imply_s _ _ zenon_H26f); [ zenon_intro zenon_H19 | zenon_intro zenon_H270 ]. % 1.14/1.35 exact (zenon_H19 zenon_H1a). % 1.14/1.35 apply (zenon_or_s _ _ zenon_H270); [ zenon_intro zenon_H207 | zenon_intro zenon_H271 ]. % 1.14/1.35 exact (zenon_H201 zenon_H207). % 1.14/1.35 apply (zenon_or_s _ _ zenon_H271); [ zenon_intro zenon_H272 | zenon_intro zenon_H208 ]. % 1.14/1.35 generalize (zenon_H1b (a30)). zenon_intro zenon_H294. % 1.14/1.35 apply (zenon_imply_s _ _ zenon_H294); [ zenon_intro zenon_H19 | zenon_intro zenon_H295 ]. % 1.14/1.35 exact (zenon_H19 zenon_H1a). % 1.14/1.35 apply (zenon_or_s _ _ zenon_H295); [ zenon_intro zenon_H207 | zenon_intro zenon_H296 ]. % 1.14/1.35 exact (zenon_H201 zenon_H207). % 1.14/1.35 apply (zenon_or_s _ _ zenon_H296); [ zenon_intro zenon_H208 | zenon_intro zenon_H276 ]. % 1.14/1.35 exact (zenon_H208 zenon_H203). % 1.14/1.35 exact (zenon_H276 zenon_H272). % 1.14/1.35 exact (zenon_H208 zenon_H203). % 1.14/1.35 apply (zenon_or_s _ _ zenon_H47); [ zenon_intro zenon_H31 | zenon_intro zenon_H2e ]. % 1.14/1.35 apply (zenon_L291_); trivial. % 1.14/1.35 exact (zenon_H2d zenon_H2e). % 1.14/1.35 (* end of lemma zenon_L498_ *) % 1.14/1.35 assert (zenon_L499_ : ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (~(hskp10)) -> (~(c0_1 (a30))) -> (c1_1 (a30)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z))))) -> (ndr1_0) -> (~(c0_1 (a24))) -> (~(c1_1 (a24))) -> (c2_1 (a24)) -> False). % 1.14/1.35 do 0 intro. intros zenon_H95 zenon_H2d zenon_H201 zenon_H203 zenon_H43 zenon_Hb8 zenon_H1a zenon_H102 zenon_H103 zenon_H104. % 1.14/1.35 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H65 | zenon_intro zenon_H96 ]. % 1.14/1.35 apply (zenon_L69_); trivial. % 1.14/1.35 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H7f | zenon_intro zenon_H31 ]. % 1.14/1.35 apply (zenon_L498_); trivial. % 1.14/1.35 apply (zenon_L291_); trivial. % 1.14/1.35 (* end of lemma zenon_L499_ *) % 1.14/1.35 assert (zenon_L500_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(hskp1)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> (~(c0_1 (a24))) -> (~(c1_1 (a24))) -> (c2_1 (a24)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp10)) -> (c1_1 (a30)) -> (~(c0_1 (a30))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (~(hskp23)) -> (~(hskp0)) -> ((hskp24)\/((hskp23)\/(hskp0))) -> False). % 1.14/1.35 do 0 intro. intros zenon_H48 zenon_H177 zenon_Hd3 zenon_Hde zenon_H162 zenon_H102 zenon_H103 zenon_H104 zenon_H43 zenon_H2d zenon_H203 zenon_H201 zenon_H95 zenon_H13 zenon_H15 zenon_H17. % 1.14/1.35 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H11 | zenon_intro zenon_H41 ]. % 1.14/1.35 apply (zenon_L12_); trivial. % 1.14/1.35 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H1a. zenon_intro zenon_H44. % 1.14/1.35 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H1d. zenon_intro zenon_H45. % 1.14/1.35 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H1e. zenon_intro zenon_H1f. % 1.14/1.35 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hd6 ]. % 1.14/1.35 apply (zenon_L499_); trivial. % 1.14/1.35 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H165 ]. % 1.14/1.35 apply (zenon_L499_); trivial. % 1.14/1.35 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H31 | zenon_intro zenon_Hdf ]. % 1.14/1.35 apply (zenon_L294_); trivial. % 1.14/1.35 exact (zenon_Hde zenon_Hdf). % 1.14/1.35 (* end of lemma zenon_L500_ *) % 1.14/1.35 assert (zenon_L501_ : ((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(hskp0))) -> (~(hskp4)) -> (~(c1_1 (a5))) -> (~(c2_1 (a5))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> (c2_1 (a31)) -> (c0_1 (a31)) -> (~(c1_1 (a31))) -> (~(hskp0)) -> False). % 1.14/1.35 do 0 intro. intros zenon_Ha1 zenon_H63 zenon_Hd zenon_H288 zenon_H289 zenon_H1a9 zenon_H33 zenon_H3c zenon_H32 zenon_H15. % 1.14/1.35 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H1a. zenon_intro zenon_Ha2. % 1.14/1.35 apply (zenon_and_s _ _ zenon_Ha2). zenon_intro zenon_H4d. zenon_intro zenon_Ha3. % 1.14/1.35 apply (zenon_and_s _ _ zenon_Ha3). zenon_intro zenon_H4a. zenon_intro zenon_H4c. % 1.14/1.35 apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H4b | zenon_intro zenon_H64 ]. % 1.14/1.35 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H1aa ]. % 1.14/1.35 apply (zenon_L125_); trivial. % 1.14/1.35 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_Hf2 | zenon_intro zenon_He ]. % 1.14/1.35 apply (zenon_L491_); trivial. % 1.14/1.35 exact (zenon_Hd zenon_He). % 1.14/1.35 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H5f | zenon_intro zenon_H16 ]. % 1.14/1.35 apply (zenon_L26_); trivial. % 1.14/1.35 exact (zenon_H15 zenon_H16). % 1.14/1.35 (* end of lemma zenon_L501_ *) % 1.14/1.35 assert (zenon_L502_ : ((ndr1_0)/\((c1_1 (a30))/\((~(c0_1 (a30)))/\(~(c2_1 (a30)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(hskp0))) -> (~(c1_1 (a5))) -> (~(c2_1 (a5))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> ((hskp24)\/((hskp23)\/(hskp0))) -> (~(hskp0)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (~(hskp10)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (c2_1 (a24)) -> (~(c1_1 (a24))) -> (~(c0_1 (a24))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> (~(hskp8)) -> (~(hskp4)) -> ((hskp17)\/((hskp8)\/(hskp4))) -> False). % 1.14/1.35 do 0 intro. intros zenon_H20b zenon_H9c zenon_H9d zenon_H63 zenon_H288 zenon_H289 zenon_H1a9 zenon_H17 zenon_H15 zenon_H95 zenon_H2d zenon_H43 zenon_H104 zenon_H103 zenon_H102 zenon_H162 zenon_Hde zenon_Hd3 zenon_H177 zenon_H48 zenon_Hb zenon_Hd zenon_Hf. % 1.14/1.35 apply (zenon_and_s _ _ zenon_H20b). zenon_intro zenon_H1a. zenon_intro zenon_H20c. % 1.14/1.35 apply (zenon_and_s _ _ zenon_H20c). zenon_intro zenon_H203. zenon_intro zenon_H20d. % 1.14/1.35 apply (zenon_and_s _ _ zenon_H20d). zenon_intro zenon_H201. zenon_intro zenon_H202. % 1.14/1.35 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.14/1.35 apply (zenon_L8_); trivial. % 1.14/1.35 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.14/1.35 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.14/1.35 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.14/1.35 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H13 | zenon_intro zenon_Ha1 ]. % 1.14/1.35 apply (zenon_L500_); trivial. % 1.14/1.35 apply (zenon_L501_); trivial. % 1.14/1.35 (* end of lemma zenon_L502_ *) % 1.14/1.35 assert (zenon_L503_ : ((ndr1_0)/\((c1_1 (a30))/\((~(c0_1 (a30)))/\(~(c2_1 (a30)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp5))) -> (~(hskp5)) -> (~(c3_1 (a18))) -> (c2_1 (a18)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(hskp7)) -> (~(hskp7)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(hskp8)) -> (~(hskp4)) -> ((hskp17)\/((hskp8)\/(hskp4))) -> False). % 1.14/1.35 do 0 intro. intros zenon_H20b zenon_H9c zenon_Hdc zenon_Hd4 zenon_Hc1 zenon_Hc2 zenon_Hb7 zenon_H1 zenon_Hd3 zenon_Hb zenon_Hd zenon_Hf. % 1.14/1.35 apply (zenon_and_s _ _ zenon_H20b). zenon_intro zenon_H1a. zenon_intro zenon_H20c. % 1.14/1.35 apply (zenon_and_s _ _ zenon_H20c). zenon_intro zenon_H203. zenon_intro zenon_H20d. % 1.14/1.35 apply (zenon_and_s _ _ zenon_H20d). zenon_intro zenon_H201. zenon_intro zenon_H202. % 1.14/1.35 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.14/1.35 apply (zenon_L8_); trivial. % 1.14/1.35 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.14/1.35 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.14/1.35 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.14/1.35 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hdd ]. % 1.14/1.35 apply (zenon_L198_); trivial. % 1.14/1.35 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hd5 ]. % 1.14/1.35 apply (zenon_L51_); trivial. % 1.14/1.35 exact (zenon_Hd4 zenon_Hd5). % 1.14/1.35 (* end of lemma zenon_L503_ *) % 1.14/1.35 assert (zenon_L504_ : ((~(hskp16))\/((ndr1_0)/\((c1_1 (a30))/\((~(c0_1 (a30)))/\(~(c2_1 (a30))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp5))) -> (~(hskp5)) -> (~(c3_1 (a18))) -> (c2_1 (a18)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(hskp7)) -> (~(hskp7)) -> ((hskp17)\/((hskp8)\/(hskp4))) -> (~(hskp4)) -> (~(hskp8)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((hskp26)\/(hskp16))) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (~(c2_1 (a16))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(hskp13)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/(hskp13))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> False). % 1.14/1.35 do 0 intro. intros zenon_H20a zenon_Hdc zenon_Hd4 zenon_Hc1 zenon_Hc2 zenon_Hb7 zenon_H1 zenon_Hf zenon_Hd zenon_Hb zenon_H1ff zenon_Heb zenon_Hea zenon_He9 zenon_Hfc zenon_Hd3 zenon_H5 zenon_H247 zenon_H1c1 zenon_H9c. % 1.14/1.35 apply (zenon_or_s _ _ zenon_H20a); [ zenon_intro zenon_H1fd | zenon_intro zenon_H20b ]. % 1.14/1.35 apply (zenon_L497_); trivial. % 1.14/1.35 apply (zenon_L503_); trivial. % 1.14/1.35 (* end of lemma zenon_L504_ *) % 1.14/1.35 assert (zenon_L505_ : ((~(hskp9))\/((ndr1_0)/\((c0_1 (a16))/\((~(c2_1 (a16)))/\(~(c3_1 (a16))))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a18))/\((c2_1 (a18))/\(~(c3_1 (a18))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp5))) -> (~(hskp5)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/(hskp13))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((hskp26)\/(hskp16))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a30))/\((~(c0_1 (a30)))/\(~(c2_1 (a30))))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c0_1 (a22)))/\((~(c2_1 (a22)))/\(~(c3_1 (a22))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a24))/\((~(c0_1 (a24)))/\(~(c1_1 (a24))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> ((hskp24)\/((hskp23)\/(hskp0))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(hskp1)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((hskp17)\/((hskp8)\/(hskp4))) -> (~(hskp4)) -> (~(hskp8)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((hskp2)\/(hskp14))) -> (~(hskp2)) -> (~(c2_1 (a5))) -> (~(c1_1 (a5))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(hskp0))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> (~(hskp7)) -> ((hskp7)\/((hskp9)\/(hskp13))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(hskp7)) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a19))/\((~(c1_1 (a19)))/\(~(c3_1 (a19))))))) -> False). % 1.14/1.35 do 0 intro. intros zenon_H215 zenon_H212 zenon_Hdc zenon_Hd4 zenon_H1c1 zenon_H247 zenon_Hfc zenon_H1ff zenon_H43 zenon_H1a9 zenon_H20a zenon_H287 zenon_H112 zenon_H9d zenon_H93 zenon_H17 zenon_H177 zenon_Hd3 zenon_Hde zenon_H162 zenon_H95 zenon_H48 zenon_Hf zenon_Hd zenon_Hb zenon_H113 zenon_Hfe zenon_H289 zenon_H288 zenon_H15 zenon_H63 zenon_H9c zenon_H1 zenon_H7 zenon_Hb7 zenon_H213. % 1.14/1.35 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H3 | zenon_intro zenon_H216 ]. % 1.14/1.35 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H91 | zenon_intro zenon_He5 ]. % 1.14/1.35 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H5 | zenon_intro zenon_H284 ]. % 1.14/1.35 apply (zenon_L4_); trivial. % 1.14/1.35 apply (zenon_L495_); trivial. % 1.14/1.35 apply (zenon_L62_); trivial. % 1.14/1.35 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_H1a. zenon_intro zenon_H21a. % 1.14/1.35 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_Heb. zenon_intro zenon_H21b. % 1.14/1.35 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_He9. zenon_intro zenon_Hea. % 1.14/1.35 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H2d | zenon_intro zenon_H217 ]. % 1.14/1.35 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H91 | zenon_intro zenon_He5 ]. % 1.14/1.35 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H5 | zenon_intro zenon_H284 ]. % 1.14/1.35 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_H100 | zenon_intro zenon_H10d ]. % 1.14/1.35 apply (zenon_L494_); trivial. % 1.14/1.35 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_H1a. zenon_intro zenon_H10f. % 1.14/1.35 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H104. zenon_intro zenon_H110. % 1.14/1.35 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_H102. zenon_intro zenon_H103. % 1.14/1.35 apply (zenon_or_s _ _ zenon_H20a); [ zenon_intro zenon_H1fd | zenon_intro zenon_H20b ]. % 1.14/1.35 apply (zenon_L497_); trivial. % 1.14/1.35 apply (zenon_L502_); trivial. % 1.14/1.35 apply (zenon_L495_); trivial. % 1.14/1.35 apply (zenon_L62_); trivial. % 1.14/1.35 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H1a. zenon_intro zenon_H218. % 1.14/1.35 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_He0. zenon_intro zenon_H219. % 1.14/1.35 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_Hc2. zenon_intro zenon_Hc1. % 1.14/1.35 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H91 | zenon_intro zenon_He5 ]. % 1.14/1.35 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H5 | zenon_intro zenon_H284 ]. % 1.14/1.35 apply (zenon_L504_); trivial. % 1.14/1.35 apply (zenon_L495_); trivial. % 1.14/1.35 apply (zenon_L62_); trivial. % 1.14/1.35 (* end of lemma zenon_L505_ *) % 1.14/1.35 assert (zenon_L506_ : ((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp6)\/(hskp10))) -> (~(hskp6)) -> (~(hskp10)) -> False). % 1.14/1.35 do 0 intro. intros zenon_H148 zenon_H2f zenon_H2b zenon_H2d. % 1.14/1.35 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H1a. zenon_intro zenon_H14b. % 1.14/1.35 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H13b. zenon_intro zenon_H14c. % 1.14/1.35 apply (zenon_and_s _ _ zenon_H14c). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 1.14/1.35 apply (zenon_or_s _ _ zenon_H2f); [ zenon_intro zenon_H1c | zenon_intro zenon_H30 ]. % 1.14/1.35 apply (zenon_L83_); trivial. % 1.14/1.35 apply (zenon_or_s _ _ zenon_H30); [ zenon_intro zenon_H2c | zenon_intro zenon_H2e ]. % 1.14/1.35 exact (zenon_H2b zenon_H2c). % 1.14/1.35 exact (zenon_H2d zenon_H2e). % 1.14/1.35 (* end of lemma zenon_L506_ *) % 1.14/1.35 assert (zenon_L507_ : ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp6)\/(hskp10))) -> (~(hskp10)) -> (~(hskp6)) -> (~(hskp17)) -> (~(hskp21)) -> ((hskp25)\/((hskp17)\/(hskp21))) -> False). % 1.14/1.35 do 0 intro. intros zenon_H167 zenon_H2f zenon_H2d zenon_H2b zenon_H9 zenon_H12e zenon_H130. % 1.14/1.35 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H12c | zenon_intro zenon_H148 ]. % 1.14/1.35 apply (zenon_L81_); trivial. % 1.14/1.35 apply (zenon_L506_); trivial. % 1.14/1.35 (* end of lemma zenon_L507_ *) % 1.14/1.35 assert (zenon_L508_ : ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (c3_1 (a3)) -> (c2_1 (a3)) -> (c1_1 (a3)) -> (forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))) -> (c3_1 (a42)) -> (c2_1 (a42)) -> (~(c1_1 (a42))) -> (ndr1_0) -> (~(hskp10)) -> False). % 1.14/1.35 do 0 intro. intros zenon_H43 zenon_H1f zenon_H1e zenon_H1d zenon_H1c zenon_H15a zenon_H159 zenon_H158 zenon_H1a zenon_H2d. % 1.14/1.35 apply (zenon_or_s _ _ zenon_H43); [ zenon_intro zenon_H1b | zenon_intro zenon_H47 ]. % 1.14/1.35 apply (zenon_L14_); trivial. % 1.14/1.35 apply (zenon_or_s _ _ zenon_H47); [ zenon_intro zenon_H31 | zenon_intro zenon_H2e ]. % 1.14/1.35 apply (zenon_L88_); trivial. % 1.14/1.35 exact (zenon_H2d zenon_H2e). % 1.14/1.35 (* end of lemma zenon_L508_ *) % 1.14/1.35 assert (zenon_L509_ : ((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp6)\/(hskp10))) -> (~(c1_1 (a42))) -> (c2_1 (a42)) -> (c3_1 (a42)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp6)) -> (~(hskp10)) -> False). % 1.14/1.35 do 0 intro. intros zenon_H41 zenon_H2f zenon_H158 zenon_H159 zenon_H15a zenon_H43 zenon_H2b zenon_H2d. % 1.14/1.35 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H1a. zenon_intro zenon_H44. % 1.14/1.35 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H1d. zenon_intro zenon_H45. % 1.14/1.35 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H1e. zenon_intro zenon_H1f. % 1.14/1.35 apply (zenon_or_s _ _ zenon_H2f); [ zenon_intro zenon_H1c | zenon_intro zenon_H30 ]. % 1.14/1.35 apply (zenon_L508_); trivial. % 1.14/1.35 apply (zenon_or_s _ _ zenon_H30); [ zenon_intro zenon_H2c | zenon_intro zenon_H2e ]. % 1.14/1.35 exact (zenon_H2b zenon_H2c). % 1.14/1.35 exact (zenon_H2d zenon_H2e). % 1.14/1.35 (* end of lemma zenon_L509_ *) % 1.14/1.35 assert (zenon_L510_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp6)\/(hskp10))) -> (~(hskp6)) -> (~(c1_1 (a42))) -> (c2_1 (a42)) -> (c3_1 (a42)) -> (~(hskp10)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp23)) -> (~(hskp0)) -> ((hskp24)\/((hskp23)\/(hskp0))) -> False). % 1.14/1.35 do 0 intro. intros zenon_H48 zenon_H2f zenon_H2b zenon_H158 zenon_H159 zenon_H15a zenon_H2d zenon_H43 zenon_H13 zenon_H15 zenon_H17. % 1.14/1.35 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H11 | zenon_intro zenon_H41 ]. % 1.14/1.35 apply (zenon_L12_); trivial. % 1.14/1.35 apply (zenon_L509_); trivial. % 1.14/1.35 (* end of lemma zenon_L510_ *) % 1.14/1.35 assert (zenon_L511_ : ((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> (c0_1 (a15)) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> (~(hskp4)) -> False). % 1.14/1.35 do 0 intro. intros zenon_Ha1 zenon_H1a9 zenon_H117 zenon_H116 zenon_H115 zenon_Hd. % 1.14/1.35 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H1a. zenon_intro zenon_Ha2. % 1.14/1.35 apply (zenon_and_s _ _ zenon_Ha2). zenon_intro zenon_H4d. zenon_intro zenon_Ha3. % 1.14/1.35 apply (zenon_and_s _ _ zenon_Ha3). zenon_intro zenon_H4a. zenon_intro zenon_H4c. % 1.14/1.35 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H1aa ]. % 1.14/1.35 apply (zenon_L125_); trivial. % 1.14/1.35 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_Hf2 | zenon_intro zenon_He ]. % 1.14/1.35 apply (zenon_L73_); trivial. % 1.14/1.35 exact (zenon_Hd zenon_He). % 1.14/1.35 (* end of lemma zenon_L511_ *) % 1.14/1.35 assert (zenon_L512_ : ((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42)))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> (~(hskp4)) -> (c0_1 (a15)) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> ((hskp24)\/((hskp23)\/(hskp0))) -> (~(hskp0)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp10)) -> (~(hskp6)) -> ((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp6)\/(hskp10))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> False). % 1.14/1.35 do 0 intro. intros zenon_H161 zenon_H9d zenon_H1a9 zenon_Hd zenon_H117 zenon_H116 zenon_H115 zenon_H17 zenon_H15 zenon_H43 zenon_H2d zenon_H2b zenon_H2f zenon_H48. % 1.14/1.35 apply (zenon_and_s _ _ zenon_H161). zenon_intro zenon_H1a. zenon_intro zenon_H163. % 1.14/1.35 apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H159. zenon_intro zenon_H164. % 1.14/1.35 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H15a. zenon_intro zenon_H158. % 1.14/1.35 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H13 | zenon_intro zenon_Ha1 ]. % 1.14/1.35 apply (zenon_L510_); trivial. % 1.14/1.35 apply (zenon_L511_); trivial. % 1.14/1.35 (* end of lemma zenon_L512_ *) % 1.14/1.35 assert (zenon_L513_ : ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> (~(hskp4)) -> (c0_1 (a15)) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> ((hskp24)\/((hskp23)\/(hskp0))) -> (~(hskp0)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((hskp25)\/((hskp17)\/(hskp21))) -> (~(hskp17)) -> (~(hskp6)) -> (~(hskp10)) -> ((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp6)\/(hskp10))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> False). % 1.14/1.35 do 0 intro. intros zenon_H166 zenon_H9d zenon_H1a9 zenon_Hd zenon_H117 zenon_H116 zenon_H115 zenon_H17 zenon_H15 zenon_H43 zenon_H48 zenon_H130 zenon_H9 zenon_H2b zenon_H2d zenon_H2f zenon_H167. % 1.14/1.35 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H12e | zenon_intro zenon_H161 ]. % 1.14/1.35 apply (zenon_L507_); trivial. % 1.14/1.35 apply (zenon_L512_); trivial. % 1.14/1.35 (* end of lemma zenon_L513_ *) % 1.14/1.35 assert (zenon_L514_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp6)\/(hskp10))) -> (~(hskp10)) -> (~(hskp6)) -> ((hskp25)\/((hskp17)\/(hskp21))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp0)) -> ((hskp24)\/((hskp23)\/(hskp0))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (c0_1 (a15)) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> False). % 1.14/1.35 do 0 intro. intros zenon_H9c zenon_H42 zenon_H167 zenon_H2f zenon_H2d zenon_H2b zenon_H130 zenon_H48 zenon_H43 zenon_H15 zenon_H17 zenon_H115 zenon_H116 zenon_H117 zenon_Hd zenon_H1a9 zenon_H9d zenon_H166. % 1.14/1.35 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.14/1.35 apply (zenon_L513_); trivial. % 1.14/1.35 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.14/1.35 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.14/1.35 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.14/1.35 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H13 | zenon_intro zenon_Ha1 ]. % 1.14/1.35 apply (zenon_L21_); trivial. % 1.14/1.35 apply (zenon_L511_); trivial. % 1.14/1.35 (* end of lemma zenon_L514_ *) % 1.14/1.35 assert (zenon_L515_ : (forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44)))))) -> (ndr1_0) -> (~(c1_1 (a24))) -> (forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36)))))) -> (~(c0_1 (a24))) -> (c2_1 (a24)) -> False). % 1.14/1.35 do 0 intro. intros zenon_Had zenon_H1a zenon_H103 zenon_H49 zenon_H102 zenon_H104. % 1.14/1.35 generalize (zenon_Had (a24)). zenon_intro zenon_H251. % 1.14/1.35 apply (zenon_imply_s _ _ zenon_H251); [ zenon_intro zenon_H19 | zenon_intro zenon_H252 ]. % 1.14/1.35 exact (zenon_H19 zenon_H1a). % 1.14/1.35 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H10a | zenon_intro zenon_H253 ]. % 1.14/1.35 exact (zenon_H103 zenon_H10a). % 1.14/1.35 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H249 | zenon_intro zenon_H109 ]. % 1.14/1.35 generalize (zenon_H49 (a24)). zenon_intro zenon_H297. % 1.14/1.35 apply (zenon_imply_s _ _ zenon_H297); [ zenon_intro zenon_H19 | zenon_intro zenon_H298 ]. % 1.14/1.35 exact (zenon_H19 zenon_H1a). % 1.14/1.35 apply (zenon_or_s _ _ zenon_H298); [ zenon_intro zenon_H108 | zenon_intro zenon_H24c ]. % 1.14/1.35 exact (zenon_H102 zenon_H108). % 1.14/1.35 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_H109 | zenon_intro zenon_H24d ]. % 1.14/1.35 exact (zenon_H109 zenon_H104). % 1.14/1.35 exact (zenon_H24d zenon_H249). % 1.14/1.35 exact (zenon_H109 zenon_H104). % 1.14/1.35 (* end of lemma zenon_L515_ *) % 1.14/1.35 assert (zenon_L516_ : ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (c3_1 (a3)) -> (c2_1 (a3)) -> (c1_1 (a3)) -> (forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1)))))) -> (c2_1 (a24)) -> (~(c0_1 (a24))) -> (forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36)))))) -> (~(c1_1 (a24))) -> (ndr1_0) -> False). % 1.14/1.35 do 0 intro. intros zenon_Hd3 zenon_H1f zenon_H1e zenon_H1d zenon_Hd6 zenon_H104 zenon_H102 zenon_H49 zenon_H103 zenon_H1a. % 1.14/1.35 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_Had | zenon_intro zenon_Hcd ]. % 1.14/1.35 apply (zenon_L515_); trivial. % 1.14/1.35 apply (zenon_L53_); trivial. % 1.14/1.35 (* end of lemma zenon_L516_ *) % 1.14/1.35 assert (zenon_L517_ : ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(c1_1 (a24))) -> (~(c0_1 (a24))) -> (c2_1 (a24)) -> (forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1)))))) -> (c1_1 (a3)) -> (c2_1 (a3)) -> (c3_1 (a3)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (c2_1 (a18)) -> (c0_1 (a18)) -> (~(c3_1 (a18))) -> (ndr1_0) -> (~(hskp11)) -> False). % 1.14/1.35 do 0 intro. intros zenon_H93 zenon_H103 zenon_H102 zenon_H104 zenon_Hd6 zenon_H1d zenon_H1e zenon_H1f zenon_Hd3 zenon_Hc2 zenon_He0 zenon_Hc1 zenon_H1a zenon_H91. % 1.14/1.35 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H49 | zenon_intro zenon_H94 ]. % 1.14/1.35 apply (zenon_L516_); trivial. % 1.14/1.35 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H8e | zenon_intro zenon_H92 ]. % 1.14/1.35 apply (zenon_L59_); trivial. % 1.14/1.35 exact (zenon_H91 zenon_H92). % 1.14/1.35 (* end of lemma zenon_L517_ *) % 1.14/1.35 assert (zenon_L518_ : ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp27)\/(hskp7))) -> (~(hskp11)) -> (ndr1_0) -> (~(c3_1 (a18))) -> (c0_1 (a18)) -> (c2_1 (a18)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (c3_1 (a3)) -> (c2_1 (a3)) -> (c1_1 (a3)) -> (c2_1 (a24)) -> (~(c0_1 (a24))) -> (~(c1_1 (a24))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp27)) -> (~(hskp7)) -> False). % 1.14/1.35 do 0 intro. intros zenon_H299 zenon_H91 zenon_H1a zenon_Hc1 zenon_He0 zenon_Hc2 zenon_Hd3 zenon_H1f zenon_H1e zenon_H1d zenon_H104 zenon_H102 zenon_H103 zenon_H93 zenon_H59 zenon_H1. % 1.14/1.35 apply (zenon_or_s _ _ zenon_H299); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H29a ]. % 1.14/1.35 apply (zenon_L517_); trivial. % 1.14/1.35 apply (zenon_or_s _ _ zenon_H29a); [ zenon_intro zenon_H5a | zenon_intro zenon_H2 ]. % 1.14/1.35 exact (zenon_H59 zenon_H5a). % 1.14/1.35 exact (zenon_H1 zenon_H2). % 1.14/1.35 (* end of lemma zenon_L518_ *) % 1.14/1.35 assert (zenon_L519_ : ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (c2_1 (a3)) -> (c3_1 (a3)) -> (c1_1 (a3)) -> (forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32)))))) -> (c2_1 (a24)) -> (~(c0_1 (a24))) -> (forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36)))))) -> (~(c1_1 (a24))) -> (ndr1_0) -> False). % 1.14/1.35 do 0 intro. intros zenon_Hd3 zenon_H1e zenon_H1f zenon_H1d zenon_H1b zenon_H104 zenon_H102 zenon_H49 zenon_H103 zenon_H1a. % 1.14/1.35 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_Had | zenon_intro zenon_Hcd ]. % 1.14/1.35 apply (zenon_L515_); trivial. % 1.14/1.35 apply (zenon_L128_); trivial. % 1.14/1.35 (* end of lemma zenon_L519_ *) % 1.14/1.35 assert (zenon_L520_ : ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(c1_1 (a24))) -> (~(c0_1 (a24))) -> (c2_1 (a24)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp19)) -> (forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10)))))) -> (c1_1 (a11)) -> (c3_1 (a11)) -> (c0_1 (a11)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (c2_1 (a18)) -> (c0_1 (a18)) -> (~(c3_1 (a18))) -> (ndr1_0) -> (~(hskp11)) -> False). % 1.14/1.35 do 0 intro. intros zenon_H93 zenon_H103 zenon_H102 zenon_H104 zenon_H14a zenon_H144 zenon_H3b zenon_H6f zenon_H70 zenon_H9b zenon_Hd3 zenon_Hc2 zenon_He0 zenon_Hc1 zenon_H1a zenon_H91. % 1.14/1.35 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H49 | zenon_intro zenon_H94 ]. % 1.14/1.35 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_Had | zenon_intro zenon_Hcd ]. % 1.14/1.35 apply (zenon_L515_); trivial. % 1.14/1.35 apply (zenon_L262_); trivial. % 1.14/1.35 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H8e | zenon_intro zenon_H92 ]. % 1.14/1.35 apply (zenon_L59_); trivial. % 1.14/1.35 exact (zenon_H91 zenon_H92). % 1.14/1.35 (* end of lemma zenon_L520_ *) % 1.14/1.35 assert (zenon_L521_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a11))/\((c1_1 (a11))/\(c3_1 (a11)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> (~(hskp4)) -> (~(hskp19)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp11)) -> (c2_1 (a18)) -> (c0_1 (a18)) -> (~(c3_1 (a18))) -> (~(c1_1 (a24))) -> (~(c0_1 (a24))) -> (c2_1 (a24)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(hskp7)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp27)\/(hskp7))) -> (~(hskp23)) -> (~(hskp0)) -> ((hskp24)\/((hskp23)\/(hskp0))) -> False). % 1.14/1.35 do 0 intro. intros zenon_H48 zenon_H97 zenon_H42 zenon_Hd zenon_H144 zenon_H14a zenon_H93 zenon_H91 zenon_Hc2 zenon_He0 zenon_Hc1 zenon_H103 zenon_H102 zenon_H104 zenon_Hd3 zenon_H1 zenon_H299 zenon_H13 zenon_H15 zenon_H17. % 1.14/1.35 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H11 | zenon_intro zenon_H41 ]. % 1.14/1.35 apply (zenon_L12_); trivial. % 1.14/1.35 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H1a. zenon_intro zenon_H44. % 1.14/1.35 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H1d. zenon_intro zenon_H45. % 1.14/1.35 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H1e. zenon_intro zenon_H1f. % 1.14/1.35 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H98 ]. % 1.14/1.35 apply (zenon_L518_); trivial. % 1.14/1.35 apply (zenon_and_s _ _ zenon_H98). zenon_intro zenon_H1a. zenon_intro zenon_H99. % 1.14/1.35 apply (zenon_and_s _ _ zenon_H99). zenon_intro zenon_H9b. zenon_intro zenon_H9a. % 1.14/1.35 apply (zenon_and_s _ _ zenon_H9a). zenon_intro zenon_H6f. zenon_intro zenon_H70. % 1.14/1.35 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H1b | zenon_intro zenon_H46 ]. % 1.14/1.35 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H49 | zenon_intro zenon_H94 ]. % 1.14/1.35 apply (zenon_L519_); trivial. % 1.14/1.35 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H8e | zenon_intro zenon_H92 ]. % 1.14/1.35 apply (zenon_L59_); trivial. % 1.14/1.35 exact (zenon_H91 zenon_H92). % 1.14/1.35 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_He ]. % 1.14/1.35 apply (zenon_L520_); trivial. % 1.14/1.35 exact (zenon_Hd zenon_He). % 1.14/1.35 (* end of lemma zenon_L521_ *) % 1.14/1.35 assert (zenon_L522_ : ((~(hskp23))\/((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((hskp9)\/(hskp24))) -> (~(hskp9)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> ((hskp24)\/((hskp23)\/(hskp0))) -> (~(hskp0)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (~(hskp15)) -> (c0_1 (a14)) -> (~(c2_1 (a14))) -> (c3_1 (a14)) -> (~(hskp19)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp10)) -> (c0_1 (a31)) -> (c2_1 (a31)) -> (~(c1_1 (a31))) -> (~(hskp4)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> False). % 1.14/1.35 do 0 intro. intros zenon_H9d zenon_H7b zenon_H3 zenon_H1a9 zenon_H17 zenon_H15 zenon_H149 zenon_H146 zenon_H120 zenon_H11f zenon_H121 zenon_H144 zenon_H14a zenon_H43 zenon_H2d zenon_H3c zenon_H33 zenon_H32 zenon_Hd zenon_H42 zenon_H48. % 1.14/1.35 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H13 | zenon_intro zenon_Ha1 ]. % 1.14/1.35 apply (zenon_L99_); trivial. % 1.14/1.35 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H1a. zenon_intro zenon_Ha2. % 1.14/1.35 apply (zenon_and_s _ _ zenon_Ha2). zenon_intro zenon_H4d. zenon_intro zenon_Ha3. % 1.14/1.35 apply (zenon_and_s _ _ zenon_Ha3). zenon_intro zenon_H4a. zenon_intro zenon_H4c. % 1.14/1.35 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H11 | zenon_intro zenon_H41 ]. % 1.14/1.35 apply (zenon_L127_); trivial. % 1.14/1.35 apply (zenon_L98_); trivial. % 1.14/1.35 (* end of lemma zenon_L522_ *) % 1.14/1.35 assert (zenon_L523_ : ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37)))))) -> (c2_1 (a31)) -> (c0_1 (a31)) -> (forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40)))))) -> (~(c1_1 (a31))) -> (ndr1_0) -> False). % 1.14/1.35 do 0 intro. intros zenon_Hd3 zenon_H8e zenon_H33 zenon_H3c zenon_H243 zenon_H32 zenon_H1a. % 1.14/1.35 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_Had | zenon_intro zenon_Hcd ]. % 1.14/1.35 apply (zenon_L270_); trivial. % 1.14/1.35 apply (zenon_L116_); trivial. % 1.14/1.35 (* end of lemma zenon_L523_ *) % 1.14/1.35 assert (zenon_L524_ : ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/(hskp13))) -> (~(c2_1 (a5))) -> (~(c1_1 (a5))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (ndr1_0) -> (~(c1_1 (a31))) -> (c0_1 (a31)) -> (c2_1 (a31)) -> (forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(hskp13)) -> False). % 1.14/1.35 do 0 intro. intros zenon_H247 zenon_H289 zenon_H288 zenon_H4b zenon_H1a zenon_H32 zenon_H3c zenon_H33 zenon_H8e zenon_Hd3 zenon_H5. % 1.14/1.35 apply (zenon_or_s _ _ zenon_H247); [ zenon_intro zenon_Hf2 | zenon_intro zenon_H248 ]. % 1.14/1.35 apply (zenon_L491_); trivial. % 1.14/1.35 apply (zenon_or_s _ _ zenon_H248); [ zenon_intro zenon_H243 | zenon_intro zenon_H6 ]. % 1.14/1.35 apply (zenon_L523_); trivial. % 1.14/1.35 exact (zenon_H5 zenon_H6). % 1.14/1.35 (* end of lemma zenon_L524_ *) % 1.14/1.35 assert (zenon_L525_ : ((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(hskp0))) -> (~(hskp11)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/(hskp13))) -> (~(c2_1 (a5))) -> (~(c1_1 (a5))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(hskp13)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (c2_1 (a31)) -> (c0_1 (a31)) -> (~(c1_1 (a31))) -> (~(hskp0)) -> False). % 1.14/1.35 do 0 intro. intros zenon_H176 zenon_H63 zenon_H91 zenon_H247 zenon_H289 zenon_H288 zenon_Hd3 zenon_H5 zenon_H93 zenon_H33 zenon_H3c zenon_H32 zenon_H15. % 1.14/1.35 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1a. zenon_intro zenon_H178. % 1.14/1.35 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H16a. zenon_intro zenon_H179. % 1.14/1.35 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H171. zenon_intro zenon_H168. % 1.14/1.35 apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H4b | zenon_intro zenon_H64 ]. % 1.14/1.35 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H49 | zenon_intro zenon_H94 ]. % 1.14/1.35 apply (zenon_L105_); trivial. % 1.14/1.35 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H8e | zenon_intro zenon_H92 ]. % 1.14/1.35 apply (zenon_L524_); trivial. % 1.14/1.35 exact (zenon_H91 zenon_H92). % 1.14/1.35 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H5f | zenon_intro zenon_H16 ]. % 1.14/1.35 apply (zenon_L26_); trivial. % 1.14/1.35 exact (zenon_H15 zenon_H16). % 1.14/1.35 (* end of lemma zenon_L525_ *) % 1.14/1.35 assert (zenon_L526_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(hskp0))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/(hskp13))) -> (~(hskp13)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(c2_1 (a5))) -> (~(c1_1 (a5))) -> (~(hskp11)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> (~(hskp4)) -> (~(hskp10)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp0)) -> ((hskp24)\/((hskp23)\/(hskp0))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> (~(hskp9)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((hskp9)\/(hskp24))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> (c3_1 (a14)) -> (c0_1 (a14)) -> (~(c2_1 (a14))) -> (ndr1_0) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> (~(hskp1)) -> ((hskp25)\/((hskp17)\/(hskp21))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp15)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> False). % 1.14/1.35 do 0 intro. intros zenon_H9c zenon_H63 zenon_H247 zenon_H5 zenon_Hd3 zenon_H289 zenon_H288 zenon_H91 zenon_H93 zenon_H48 zenon_H42 zenon_Hd zenon_H2d zenon_H43 zenon_H15 zenon_H17 zenon_H1a9 zenon_H3 zenon_H7b zenon_H9d zenon_H12a zenon_H121 zenon_H120 zenon_H11f zenon_H1a zenon_H166 zenon_H162 zenon_Hde zenon_H130 zenon_H14a zenon_H146 zenon_H149 zenon_H167 zenon_H177 zenon_H17b zenon_H17a. % 1.14/1.35 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.14/1.35 apply (zenon_L94_); trivial. % 1.14/1.35 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.14/1.35 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.14/1.35 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.14/1.35 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.14/1.35 apply (zenon_L522_); trivial. % 1.14/1.35 apply (zenon_L525_); trivial. % 1.14/1.35 (* end of lemma zenon_L526_ *) % 1.14/1.35 assert (zenon_L527_ : ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp13)) -> (c3_1 (a10)) -> (c2_1 (a10)) -> (c0_1 (a10)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c3_1 (a14)) -> (c0_1 (a14)) -> (~(c2_1 (a14))) -> (c1_1 (a3)) -> (c3_1 (a3)) -> (c2_1 (a3)) -> (~(hskp19)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/(hskp13))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c2_1 (a31)) -> (c0_1 (a31)) -> (~(c1_1 (a31))) -> (c1_1 (a25)) -> (c0_1 (a25)) -> (~(c3_1 (a25))) -> (ndr1_0) -> (forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(hskp11)) -> False). % 1.14/1.35 do 0 intro. intros zenon_H93 zenon_H5 zenon_H1b7 zenon_H1b6 zenon_H1b5 zenon_H14a zenon_H121 zenon_H120 zenon_H11f zenon_H1d zenon_H1f zenon_H1e zenon_H144 zenon_H247 zenon_Hfc zenon_H33 zenon_H3c zenon_H32 zenon_H19a zenon_H18f zenon_H18e zenon_H1a zenon_H3b zenon_Hd3 zenon_H91. % 1.14/1.35 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H49 | zenon_intro zenon_H94 ]. % 1.14/1.35 apply (zenon_L272_); trivial. % 1.14/1.35 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H8e | zenon_intro zenon_H92 ]. % 1.14/1.35 apply (zenon_L156_); trivial. % 1.14/1.35 exact (zenon_H91 zenon_H92). % 1.14/1.35 (* end of lemma zenon_L527_ *) % 1.14/1.35 assert (zenon_L528_ : ((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11)))))))) -> (c2_1 (a24)) -> (~(c1_1 (a24))) -> (~(c0_1 (a24))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp13)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (c2_1 (a31)) -> (c0_1 (a31)) -> (~(c1_1 (a31))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c3_1 (a14)) -> (c0_1 (a14)) -> (~(c2_1 (a14))) -> (c1_1 (a3)) -> (c3_1 (a3)) -> (c2_1 (a3)) -> (~(hskp19)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/(hskp13))) -> (c1_1 (a25)) -> (c0_1 (a25)) -> (~(c3_1 (a25))) -> (~(hskp11)) -> False). % 1.14/1.35 do 0 intro. intros zenon_H1be zenon_H1e0 zenon_H104 zenon_H103 zenon_H102 zenon_Hfc zenon_H93 zenon_H5 zenon_Hd3 zenon_H33 zenon_H3c zenon_H32 zenon_H14a zenon_H121 zenon_H120 zenon_H11f zenon_H1d zenon_H1f zenon_H1e zenon_H144 zenon_H247 zenon_H19a zenon_H18f zenon_H18e zenon_H91. % 1.14/1.35 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H1a. zenon_intro zenon_H1bf. % 1.14/1.35 apply (zenon_and_s _ _ zenon_H1bf). zenon_intro zenon_H1b5. zenon_intro zenon_H1c0. % 1.14/1.35 apply (zenon_and_s _ _ zenon_H1c0). zenon_intro zenon_H1b6. zenon_intro zenon_H1b7. % 1.14/1.35 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H65 | zenon_intro zenon_H1e1 ]. % 1.14/1.35 apply (zenon_L69_); trivial. % 1.14/1.35 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H3b | zenon_intro zenon_Hf3 ]. % 1.14/1.35 apply (zenon_L527_); trivial. % 1.14/1.35 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H49 | zenon_intro zenon_H94 ]. % 1.14/1.35 apply (zenon_L272_); trivial. % 1.14/1.35 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H8e | zenon_intro zenon_H92 ]. % 1.14/1.35 apply (zenon_L114_); trivial. % 1.14/1.35 exact (zenon_H91 zenon_H92). % 1.14/1.35 (* end of lemma zenon_L528_ *) % 1.14/1.35 assert (zenon_L529_ : ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> (~(c0_1 (a24))) -> (~(c0_1 (a37))) -> (~(c3_1 (a37))) -> (c1_1 (a37)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (ndr1_0) -> (~(c1_1 (a24))) -> (c2_1 (a24)) -> (forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1)))))) -> (c1_1 (a3)) -> (c2_1 (a3)) -> (c3_1 (a3)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(hskp1)) -> False). % 1.14/1.35 do 0 intro. intros zenon_H162 zenon_H102 zenon_H1ce zenon_H1cf zenon_H1d0 zenon_H95 zenon_H1a zenon_H103 zenon_H104 zenon_Hd6 zenon_H1d zenon_H1e zenon_H1f zenon_Hd3 zenon_Hde. % 1.14/1.35 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H165 ]. % 1.14/1.35 apply (zenon_L310_); trivial. % 1.14/1.35 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H31 | zenon_intro zenon_Hdf ]. % 1.14/1.35 apply (zenon_L294_); trivial. % 1.14/1.35 exact (zenon_Hde zenon_Hdf). % 1.14/1.35 (* end of lemma zenon_L529_ *) % 1.14/1.35 assert (zenon_L530_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(hskp1)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> (~(c0_1 (a24))) -> (~(c1_1 (a24))) -> (c2_1 (a24)) -> (~(c0_1 (a37))) -> (~(c3_1 (a37))) -> (c1_1 (a37)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (~(hskp23)) -> (~(hskp0)) -> ((hskp24)\/((hskp23)\/(hskp0))) -> False). % 1.14/1.35 do 0 intro. intros zenon_H48 zenon_H177 zenon_Hd3 zenon_Hde zenon_H162 zenon_H102 zenon_H103 zenon_H104 zenon_H1ce zenon_H1cf zenon_H1d0 zenon_H95 zenon_H13 zenon_H15 zenon_H17. % 1.14/1.35 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H11 | zenon_intro zenon_H41 ]. % 1.14/1.35 apply (zenon_L12_); trivial. % 1.14/1.35 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H1a. zenon_intro zenon_H44. % 1.14/1.35 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H1d. zenon_intro zenon_H45. % 1.14/1.35 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H1e. zenon_intro zenon_H1f. % 1.14/1.35 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hd6 ]. % 1.14/1.35 apply (zenon_L310_); trivial. % 1.14/1.35 apply (zenon_L529_); trivial. % 1.14/1.35 (* end of lemma zenon_L530_ *) % 1.14/1.35 assert (zenon_L531_ : ((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37)))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(hskp0))) -> (c2_1 (a31)) -> (c0_1 (a31)) -> (~(c1_1 (a31))) -> (~(c1_1 (a5))) -> (~(c2_1 (a5))) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> ((hskp24)\/((hskp23)\/(hskp0))) -> (~(hskp0)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (c2_1 (a24)) -> (~(c1_1 (a24))) -> (~(c0_1 (a24))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> False). % 1.14/1.35 do 0 intro. intros zenon_H1d7 zenon_H9d zenon_H63 zenon_H33 zenon_H3c zenon_H32 zenon_H288 zenon_H289 zenon_Hd zenon_H1a9 zenon_H17 zenon_H15 zenon_H95 zenon_H104 zenon_H103 zenon_H102 zenon_H162 zenon_Hde zenon_Hd3 zenon_H177 zenon_H48. % 1.14/1.35 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H1a. zenon_intro zenon_H1d8. % 1.14/1.35 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1d0. zenon_intro zenon_H1d9. % 1.14/1.35 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1ce. zenon_intro zenon_H1cf. % 1.14/1.35 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H13 | zenon_intro zenon_Ha1 ]. % 1.14/1.35 apply (zenon_L530_); trivial. % 1.14/1.35 apply (zenon_L501_); trivial. % 1.14/1.35 (* end of lemma zenon_L531_ *) % 1.14/1.35 assert (zenon_L532_ : (forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(c3_1 X17))))) -> (ndr1_0) -> (~(c1_1 (a5))) -> (~(c2_1 (a5))) -> (~(c3_1 (a5))) -> False). % 1.14/1.35 do 0 intro. intros zenon_H29b zenon_H1a zenon_H288 zenon_H289 zenon_H29c. % 1.14/1.35 generalize (zenon_H29b (a5)). zenon_intro zenon_H29d. % 1.14/1.35 apply (zenon_imply_s _ _ zenon_H29d); [ zenon_intro zenon_H19 | zenon_intro zenon_H29e ]. % 1.14/1.35 exact (zenon_H19 zenon_H1a). % 1.14/1.35 apply (zenon_or_s _ _ zenon_H29e); [ zenon_intro zenon_H28e | zenon_intro zenon_H29f ]. % 1.14/1.35 exact (zenon_H288 zenon_H28e). % 1.14/1.35 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H290 | zenon_intro zenon_H2a0 ]. % 1.14/1.35 exact (zenon_H289 zenon_H290). % 1.14/1.35 exact (zenon_H29c zenon_H2a0). % 1.14/1.35 (* end of lemma zenon_L532_ *) % 1.14/1.35 assert (zenon_L533_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(c3_1 X17))))))) -> (~(c3_1 (a22))) -> (~(c2_1 (a22))) -> (~(c0_1 (a22))) -> (c2_1 (a24)) -> (~(c1_1 (a24))) -> (forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))) -> (~(c0_1 (a24))) -> (ndr1_0) -> (~(c1_1 (a5))) -> (~(c2_1 (a5))) -> (~(c3_1 (a5))) -> False). % 1.14/1.35 do 0 intro. intros zenon_H2a1 zenon_H81 zenon_H89 zenon_H80 zenon_H104 zenon_H103 zenon_H31 zenon_H102 zenon_H1a zenon_H288 zenon_H289 zenon_H29c. % 1.14/1.35 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H1e7 | zenon_intro zenon_H2a2 ]. % 1.14/1.35 apply (zenon_L221_); trivial. % 1.14/1.35 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H1ab | zenon_intro zenon_H29b ]. % 1.14/1.35 apply (zenon_L423_); trivial. % 1.14/1.35 apply (zenon_L532_); trivial. % 1.14/1.35 (* end of lemma zenon_L533_ *) % 1.14/1.35 assert (zenon_L534_ : ((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> (~(c3_1 (a5))) -> (~(c2_1 (a5))) -> (~(c1_1 (a5))) -> (~(c0_1 (a24))) -> (~(c1_1 (a24))) -> (c2_1 (a24)) -> (~(c0_1 (a22))) -> (~(c2_1 (a22))) -> (~(c3_1 (a22))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(c3_1 X17))))))) -> (~(hskp1)) -> False). % 1.14/1.35 do 0 intro. intros zenon_H17c zenon_H162 zenon_H29c zenon_H289 zenon_H288 zenon_H102 zenon_H103 zenon_H104 zenon_H80 zenon_H89 zenon_H81 zenon_H2a1 zenon_Hde. % 1.14/1.35 apply (zenon_and_s _ _ zenon_H17c). zenon_intro zenon_H1a. zenon_intro zenon_H17d. % 1.14/1.35 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H14f. zenon_intro zenon_H17e. % 1.14/1.35 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_H150. zenon_intro zenon_H151. % 1.14/1.35 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H165 ]. % 1.14/1.35 apply (zenon_L87_); trivial. % 1.14/1.35 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H31 | zenon_intro zenon_Hdf ]. % 1.14/1.35 apply (zenon_L533_); trivial. % 1.14/1.35 exact (zenon_Hde zenon_Hdf). % 1.14/1.35 (* end of lemma zenon_L534_ *) % 1.14/1.35 assert (zenon_L535_ : ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> (~(hskp1)) -> (~(c0_1 (a22))) -> (~(c2_1 (a22))) -> (~(c3_1 (a22))) -> (~(c0_1 (a24))) -> (~(c1_1 (a24))) -> (c2_1 (a24)) -> (~(c1_1 (a5))) -> (~(c2_1 (a5))) -> (~(c3_1 (a5))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(c3_1 X17))))))) -> (ndr1_0) -> (~(c2_1 (a14))) -> (c0_1 (a14)) -> (c3_1 (a14)) -> (~(hskp17)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> False). % 1.14/1.35 do 0 intro. intros zenon_H17a zenon_H162 zenon_Hde zenon_H80 zenon_H89 zenon_H81 zenon_H102 zenon_H103 zenon_H104 zenon_H288 zenon_H289 zenon_H29c zenon_H2a1 zenon_H1a zenon_H11f zenon_H120 zenon_H121 zenon_H9 zenon_H12a. % 1.14/1.35 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H128 | zenon_intro zenon_H17c ]. % 1.14/1.35 apply (zenon_L78_); trivial. % 1.14/1.35 apply (zenon_L534_); trivial. % 1.14/1.35 (* end of lemma zenon_L535_ *) % 1.14/1.35 assert (zenon_L536_ : ((ndr1_0)/\((~(c0_1 (a22)))/\((~(c2_1 (a22)))/\(~(c3_1 (a22)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a24))/\((~(c0_1 (a24)))/\(~(c1_1 (a24))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp11)) -> ((hskp24)\/((hskp23)\/(hskp0))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> (c3_1 (a14)) -> (c0_1 (a14)) -> (~(c2_1 (a14))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(c3_1 X17))))))) -> (~(c3_1 (a5))) -> (~(hskp1)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> ((hskp17)\/((hskp8)\/(hskp4))) -> (~(hskp4)) -> (~(hskp8)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((hskp2)\/(hskp14))) -> (~(hskp2)) -> (~(c2_1 (a5))) -> (~(c1_1 (a5))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(hskp0))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> False). % 1.14/1.35 do 0 intro. intros zenon_H284 zenon_H112 zenon_H9d zenon_H93 zenon_H91 zenon_H17 zenon_H177 zenon_Hd3 zenon_H95 zenon_H48 zenon_H12a zenon_H121 zenon_H120 zenon_H11f zenon_H2a1 zenon_H29c zenon_Hde zenon_H162 zenon_H17a zenon_Hf zenon_Hd zenon_Hb zenon_H113 zenon_Hfe zenon_H289 zenon_H288 zenon_H15 zenon_H63 zenon_H9c. % 1.14/1.35 apply (zenon_and_s _ _ zenon_H284). zenon_intro zenon_H1a. zenon_intro zenon_H285. % 1.14/1.35 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_H80. zenon_intro zenon_H286. % 1.14/1.35 apply (zenon_and_s _ _ zenon_H286). zenon_intro zenon_H89. zenon_intro zenon_H81. % 1.14/1.35 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_H100 | zenon_intro zenon_H10d ]. % 1.14/1.35 apply (zenon_L494_); trivial. % 1.14/1.35 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_H1a. zenon_intro zenon_H10f. % 1.14/1.35 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H104. zenon_intro zenon_H110. % 1.14/1.35 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_H102. zenon_intro zenon_H103. % 1.14/1.35 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.14/1.35 apply (zenon_L535_); trivial. % 1.14/1.35 apply (zenon_L299_); trivial. % 1.14/1.35 (* end of lemma zenon_L536_ *) % 1.14/1.35 assert (zenon_L537_ : ((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> (~(c1_1 (a19))) -> (~(c3_1 (a19))) -> (c2_1 (a19)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(c0_1 (a24))) -> (~(c1_1 (a24))) -> (c2_1 (a24)) -> (~(c0_1 (a37))) -> (~(c3_1 (a37))) -> (c1_1 (a37)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> False). % 1.14/1.35 do 0 intro. intros zenon_H41 zenon_H177 zenon_Hae zenon_Haf zenon_Hb0 zenon_Hd3 zenon_H102 zenon_H103 zenon_H104 zenon_H1ce zenon_H1cf zenon_H1d0 zenon_H95. % 1.14/1.35 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H1a. zenon_intro zenon_H44. % 1.14/1.35 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H1d. zenon_intro zenon_H45. % 1.14/1.35 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H1e. zenon_intro zenon_H1f. % 1.14/1.35 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hd6 ]. % 1.14/1.35 apply (zenon_L310_); trivial. % 1.14/1.35 apply (zenon_L123_); trivial. % 1.14/1.35 (* end of lemma zenon_L537_ *) % 1.14/1.35 assert (zenon_L538_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(c3_1 X17))))))) -> (c3_1 (a14)) -> (c0_1 (a14)) -> (forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14)))))) -> (~(c2_1 (a14))) -> (~(c1_1 (a19))) -> (~(c3_1 (a19))) -> (c2_1 (a19)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> (~(c3_1 (a37))) -> (~(c0_1 (a37))) -> (~(hskp25)) -> (~(hskp26)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> (ndr1_0) -> (~(c1_1 (a5))) -> (~(c2_1 (a5))) -> (~(c3_1 (a5))) -> False). % 1.14/1.35 do 0 intro. intros zenon_H2a1 zenon_H121 zenon_H120 zenon_Hf2 zenon_H11f zenon_Hae zenon_Haf zenon_Hb0 zenon_H1c2 zenon_H1cf zenon_H1ce zenon_H12c zenon_H1b3 zenon_H1ee zenon_H1a zenon_H288 zenon_H289 zenon_H29c. % 1.14/1.35 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H1e7 | zenon_intro zenon_H2a2 ]. % 1.14/1.35 apply (zenon_L167_); trivial. % 1.14/1.35 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H1ab | zenon_intro zenon_H29b ]. % 1.14/1.35 apply (zenon_or_s _ _ zenon_H1ee); [ zenon_intro zenon_H1e7 | zenon_intro zenon_H1ef ]. % 1.14/1.35 apply (zenon_L167_); trivial. % 1.14/1.35 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H3b | zenon_intro zenon_H6d ]. % 1.14/1.35 apply (zenon_L130_); trivial. % 1.14/1.35 apply (zenon_L109_); trivial. % 1.14/1.35 apply (zenon_L532_); trivial. % 1.14/1.35 (* end of lemma zenon_L538_ *) % 1.14/1.35 assert (zenon_L539_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (ndr1_0) -> (~(c0_1 (a53))) -> (~(c1_1 (a53))) -> (c3_1 (a53)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(c3_1 X17))))))) -> (~(c3_1 (a5))) -> (~(c2_1 (a5))) -> (~(c1_1 (a5))) -> (~(c1_1 (a19))) -> (~(c3_1 (a19))) -> (c2_1 (a19)) -> (~(c2_1 (a14))) -> (c0_1 (a14)) -> (c3_1 (a14)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> (~(c0_1 (a37))) -> (~(c3_1 (a37))) -> (~(hskp25)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> False). % 1.14/1.35 do 0 intro. intros zenon_H1c1 zenon_Hd3 zenon_H1a zenon_H4a zenon_H4c zenon_H4d zenon_H2a1 zenon_H29c zenon_H289 zenon_H288 zenon_Hae zenon_Haf zenon_Hb0 zenon_H11f zenon_H120 zenon_H121 zenon_H1ee zenon_H1ce zenon_H1cf zenon_H12c zenon_H1c2 zenon_Hd zenon_H1a9. % 1.14/1.35 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1be ]. % 1.14/1.35 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H1aa ]. % 1.14/1.35 apply (zenon_L125_); trivial. % 1.14/1.35 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_Hf2 | zenon_intro zenon_He ]. % 1.14/1.35 apply (zenon_L538_); trivial. % 1.14/1.35 exact (zenon_Hd zenon_He). % 1.14/1.35 apply (zenon_L134_); trivial. % 1.14/1.35 (* end of lemma zenon_L539_ *) % 1.14/1.35 assert (zenon_L540_ : ((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> (~(hskp19)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> (~(c3_1 (a37))) -> (~(c0_1 (a37))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> (c3_1 (a14)) -> (c0_1 (a14)) -> (~(c2_1 (a14))) -> (c2_1 (a19)) -> (~(c3_1 (a19))) -> (~(c1_1 (a19))) -> (~(c1_1 (a5))) -> (~(c2_1 (a5))) -> (~(c3_1 (a5))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(c3_1 X17))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> False). % 1.14/1.35 do 0 intro. intros zenon_Ha1 zenon_H167 zenon_H144 zenon_H14a zenon_H1a9 zenon_Hd zenon_H1c2 zenon_H1cf zenon_H1ce zenon_H1ee zenon_H121 zenon_H120 zenon_H11f zenon_Hb0 zenon_Haf zenon_Hae zenon_H288 zenon_H289 zenon_H29c zenon_H2a1 zenon_Hd3 zenon_H1c1. % 1.14/1.35 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H1a. zenon_intro zenon_Ha2. % 1.14/1.35 apply (zenon_and_s _ _ zenon_Ha2). zenon_intro zenon_H4d. zenon_intro zenon_Ha3. % 1.14/1.35 apply (zenon_and_s _ _ zenon_Ha3). zenon_intro zenon_H4a. zenon_intro zenon_H4c. % 1.14/1.35 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H12c | zenon_intro zenon_H148 ]. % 1.14/1.35 apply (zenon_L539_); trivial. % 1.14/1.35 apply (zenon_L137_); trivial. % 1.14/1.35 (* end of lemma zenon_L540_ *) % 1.14/1.35 assert (zenon_L541_ : ((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> (~(c0_1 (a24))) -> (~(c1_1 (a24))) -> (c2_1 (a24)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> (~(hskp1)) -> (~(c1_1 (a31))) -> (c2_1 (a31)) -> (c0_1 (a31)) -> (~(c3_1 (a19))) -> (~(c1_1 (a19))) -> (c2_1 (a19)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> False). % 1.14/1.35 do 0 intro. intros zenon_H176 zenon_H1da zenon_H177 zenon_H102 zenon_H103 zenon_H104 zenon_H95 zenon_H162 zenon_Hde zenon_H32 zenon_H33 zenon_H3c zenon_Haf zenon_Hae zenon_Hb0 zenon_H1c6 zenon_Hd3 zenon_H1c1. % 1.14/1.35 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1a. zenon_intro zenon_H178. % 1.14/1.35 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H16a. zenon_intro zenon_H179. % 1.14/1.35 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H171. zenon_intro zenon_H168. % 1.14/1.35 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.14/1.35 apply (zenon_L142_); trivial. % 1.14/1.35 apply (zenon_L312_); trivial. % 1.14/1.35 (* end of lemma zenon_L541_ *) % 1.14/1.35 assert (zenon_L542_ : ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp24))) -> (c2_1 (a24)) -> (~(c1_1 (a24))) -> (~(c0_1 (a24))) -> (~(c0_1 (a37))) -> (~(c3_1 (a37))) -> (c1_1 (a37)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (c1_1 (a25)) -> (c0_1 (a25)) -> (~(c3_1 (a25))) -> (ndr1_0) -> (~(hskp24)) -> False). % 1.14/1.35 do 0 intro. intros zenon_H1f8 zenon_H104 zenon_H103 zenon_H102 zenon_H1ce zenon_H1cf zenon_H1d0 zenon_H95 zenon_H19a zenon_H18f zenon_H18e zenon_H1a zenon_H11. % 1.14/1.35 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H1f9 ]. % 1.14/1.35 apply (zenon_L310_); trivial. % 1.14/1.35 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H12 ]. % 1.14/1.35 apply (zenon_L187_); trivial. % 1.14/1.35 exact (zenon_H11 zenon_H12). % 1.14/1.35 (* end of lemma zenon_L542_ *) % 1.14/1.35 assert (zenon_L543_ : ((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(~(c3_1 (a25)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (c2_1 (a24)) -> (~(c1_1 (a24))) -> (~(c0_1 (a24))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> (c3_1 (a14)) -> (c0_1 (a14)) -> (~(c2_1 (a14))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp24))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (c2_1 (a19)) -> (~(c3_1 (a19))) -> (~(c1_1 (a19))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> False). % 1.14/1.35 do 0 intro. intros zenon_H19f zenon_H9c zenon_H1da zenon_H95 zenon_H104 zenon_H103 zenon_H102 zenon_H162 zenon_Hde zenon_H1c6 zenon_H1c1 zenon_H12a zenon_H121 zenon_H120 zenon_H11f zenon_H1f8 zenon_Hd3 zenon_Hb0 zenon_Haf zenon_Hae zenon_H177 zenon_H48 zenon_H17a. % 1.14/1.35 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H1a. zenon_intro zenon_H1a0. % 1.14/1.35 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H18f. zenon_intro zenon_H1a1. % 1.14/1.35 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H19a. zenon_intro zenon_H18e. % 1.14/1.35 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.14/1.35 apply (zenon_L191_); trivial. % 1.14/1.35 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.14/1.35 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.14/1.35 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.14/1.35 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.14/1.35 apply (zenon_L142_); trivial. % 1.14/1.35 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H1a. zenon_intro zenon_H1d8. % 1.14/1.35 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1d0. zenon_intro zenon_H1d9. % 1.14/1.35 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1ce. zenon_intro zenon_H1cf. % 1.14/1.35 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H11 | zenon_intro zenon_H41 ]. % 1.14/1.35 apply (zenon_L542_); trivial. % 1.14/1.35 apply (zenon_L537_); trivial. % 1.14/1.35 (* end of lemma zenon_L543_ *) % 1.14/1.35 assert (zenon_L544_ : ((ndr1_0)/\((c2_1 (a24))/\((~(c0_1 (a24)))/\(~(c1_1 (a24)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(~(c3_1 (a25))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp24))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((hskp25)\/((hskp17)\/(hskp21))) -> (~(hskp1)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> (~(c2_1 (a14))) -> (c0_1 (a14)) -> (c3_1 (a14)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> (~(c1_1 (a5))) -> (~(c2_1 (a5))) -> (~(c3_1 (a5))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(c3_1 X17))))))) -> ((hskp24)\/((hskp23)\/(hskp0))) -> (~(hskp0)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> (~(c3_1 (a19))) -> (~(c1_1 (a19))) -> (c2_1 (a19)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> False). % 1.14/1.35 do 0 intro. intros zenon_H10d zenon_H1a2 zenon_H1f8 zenon_H17a zenon_H17b zenon_H177 zenon_H167 zenon_H149 zenon_H14a zenon_H130 zenon_Hde zenon_H162 zenon_H166 zenon_H11f zenon_H120 zenon_H121 zenon_H12a zenon_H1da zenon_H9d zenon_H1a9 zenon_Hd zenon_H1c2 zenon_H1ee zenon_H288 zenon_H289 zenon_H29c zenon_H2a1 zenon_H17 zenon_H15 zenon_H95 zenon_H48 zenon_Haf zenon_Hae zenon_Hb0 zenon_H1c6 zenon_Hd3 zenon_H1c1 zenon_H9c. % 1.14/1.35 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_H1a. zenon_intro zenon_H10f. % 1.14/1.35 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H104. zenon_intro zenon_H110. % 1.14/1.35 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_H102. zenon_intro zenon_H103. % 1.14/1.35 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H146 | zenon_intro zenon_H19f ]. % 1.14/1.35 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.14/1.35 apply (zenon_L94_); trivial. % 1.14/1.35 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.14/1.35 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.14/1.35 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.14/1.35 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.14/1.35 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.14/1.35 apply (zenon_L142_); trivial. % 1.14/1.35 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H1a. zenon_intro zenon_H1d8. % 1.14/1.35 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1d0. zenon_intro zenon_H1d9. % 1.14/1.35 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1ce. zenon_intro zenon_H1cf. % 1.14/1.35 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H13 | zenon_intro zenon_Ha1 ]. % 1.14/1.35 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H11 | zenon_intro zenon_H41 ]. % 1.14/1.36 apply (zenon_L12_); trivial. % 1.14/1.36 apply (zenon_L537_); trivial. % 1.14/1.36 apply (zenon_L540_); trivial. % 1.14/1.36 apply (zenon_L541_); trivial. % 1.14/1.36 apply (zenon_L543_); trivial. % 1.14/1.36 (* end of lemma zenon_L544_ *) % 1.14/1.36 assert (zenon_L545_ : ((ndr1_0)/\((c2_1 (a19))/\((~(c1_1 (a19)))/\(~(c3_1 (a19)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a24))/\((~(c0_1 (a24)))/\(~(c1_1 (a24))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(~(c3_1 (a25))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp24))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((hskp25)\/((hskp17)\/(hskp21))) -> (~(hskp1)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> (~(c2_1 (a14))) -> (c0_1 (a14)) -> (c3_1 (a14)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> (~(c3_1 (a5))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(c3_1 X17))))))) -> ((hskp24)\/((hskp23)\/(hskp0))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((hskp17)\/((hskp8)\/(hskp4))) -> (~(hskp4)) -> (~(hskp8)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((hskp2)\/(hskp14))) -> (~(hskp2)) -> (~(c2_1 (a5))) -> (~(c1_1 (a5))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(hskp0))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> False). % 1.14/1.36 do 0 intro. intros zenon_He5 zenon_H112 zenon_H1a2 zenon_H1f8 zenon_H17a zenon_H17b zenon_H177 zenon_H167 zenon_H149 zenon_H14a zenon_H130 zenon_Hde zenon_H162 zenon_H166 zenon_H11f zenon_H120 zenon_H121 zenon_H12a zenon_H1da zenon_H9d zenon_H1a9 zenon_H1c2 zenon_H1ee zenon_H29c zenon_H2a1 zenon_H17 zenon_H95 zenon_H48 zenon_H1c6 zenon_Hd3 zenon_H1c1 zenon_Hf zenon_Hd zenon_Hb zenon_H113 zenon_Hfe zenon_H289 zenon_H288 zenon_H15 zenon_H63 zenon_H9c. % 1.14/1.36 apply (zenon_and_s _ _ zenon_He5). zenon_intro zenon_H1a. zenon_intro zenon_He6. % 1.14/1.36 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_Hb0. zenon_intro zenon_He7. % 1.14/1.36 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hae. zenon_intro zenon_Haf. % 1.14/1.36 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_H100 | zenon_intro zenon_H10d ]. % 1.14/1.36 apply (zenon_L494_); trivial. % 1.14/1.36 apply (zenon_L544_); trivial. % 1.14/1.36 (* end of lemma zenon_L545_ *) % 1.14/1.36 assert (zenon_L546_ : ((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(hskp0))) -> (~(hskp11)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/(hskp13))) -> (~(c2_1 (a5))) -> (~(c1_1 (a5))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(hskp13)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (c2_1 (a31)) -> (c0_1 (a31)) -> (~(c1_1 (a31))) -> (~(hskp0)) -> False). % 1.14/1.36 do 0 intro. intros zenon_Ha1 zenon_H63 zenon_H91 zenon_H247 zenon_H289 zenon_H288 zenon_Hd3 zenon_H5 zenon_H93 zenon_H33 zenon_H3c zenon_H32 zenon_H15. % 1.14/1.36 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H1a. zenon_intro zenon_Ha2. % 1.14/1.36 apply (zenon_and_s _ _ zenon_Ha2). zenon_intro zenon_H4d. zenon_intro zenon_Ha3. % 1.14/1.36 apply (zenon_and_s _ _ zenon_Ha3). zenon_intro zenon_H4a. zenon_intro zenon_H4c. % 1.14/1.36 apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H4b | zenon_intro zenon_H64 ]. % 1.14/1.36 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H49 | zenon_intro zenon_H94 ]. % 1.14/1.36 apply (zenon_L22_); trivial. % 1.14/1.36 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H8e | zenon_intro zenon_H92 ]. % 1.14/1.36 apply (zenon_L524_); trivial. % 1.14/1.36 exact (zenon_H91 zenon_H92). % 1.14/1.36 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H5f | zenon_intro zenon_H16 ]. % 1.14/1.36 apply (zenon_L26_); trivial. % 1.14/1.36 exact (zenon_H15 zenon_H16). % 1.14/1.36 (* end of lemma zenon_L546_ *) % 1.14/1.36 assert (zenon_L547_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (c2_1 (a24)) -> (~(c1_1 (a24))) -> (~(c0_1 (a24))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> (~(hskp1)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp19)) -> (c3_1 (a14)) -> (c0_1 (a14)) -> (~(c2_1 (a14))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (c2_1 (a31)) -> (c0_1 (a31)) -> (~(c1_1 (a31))) -> (~(hskp13)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/(hskp13))) -> (~(c3_1 (a18))) -> (c0_1 (a18)) -> (c2_1 (a18)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> (~(hskp0)) -> ((hskp24)\/((hskp23)\/(hskp0))) -> (~(c1_1 (a5))) -> (~(c2_1 (a5))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(hskp0))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53))))))) -> False). % 1.14/1.36 do 0 intro. intros zenon_H1da zenon_Hd zenon_H1a9 zenon_H95 zenon_H104 zenon_H103 zenon_H102 zenon_H162 zenon_Hde zenon_H177 zenon_H48 zenon_H1c1 zenon_H93 zenon_H91 zenon_H14a zenon_H144 zenon_H121 zenon_H120 zenon_H11f zenon_Hd3 zenon_H33 zenon_H3c zenon_H32 zenon_H5 zenon_H247 zenon_Hc1 zenon_He0 zenon_Hc2 zenon_H1c6 zenon_H15 zenon_H17 zenon_H288 zenon_H289 zenon_H63 zenon_H9d. % 1.14/1.36 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.14/1.36 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H13 | zenon_intro zenon_Ha1 ]. % 1.14/1.36 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H11 | zenon_intro zenon_H41 ]. % 1.14/1.36 apply (zenon_L12_); trivial. % 1.14/1.36 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H1a. zenon_intro zenon_H44. % 1.14/1.36 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H1d. zenon_intro zenon_H45. % 1.14/1.36 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H1e. zenon_intro zenon_H1f. % 1.14/1.36 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1be ]. % 1.14/1.36 apply (zenon_L197_); trivial. % 1.14/1.36 apply (zenon_L273_); trivial. % 1.14/1.36 apply (zenon_L546_); trivial. % 1.14/1.36 apply (zenon_L531_); trivial. % 1.14/1.36 (* end of lemma zenon_L547_ *) % 1.14/1.36 assert (zenon_L548_ : ((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(~(c3_1 (a25)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(hskp0))) -> (~(c2_1 (a5))) -> (~(c1_1 (a5))) -> ((hskp24)\/((hskp23)\/(hskp0))) -> (~(hskp0)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/(hskp13))) -> (~(hskp13)) -> (~(c2_1 (a14))) -> (c0_1 (a14)) -> (c3_1 (a14)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(c3_1 (a18))) -> (c0_1 (a18)) -> (c2_1 (a18)) -> (~(hskp11)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> (~(hskp1)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> (~(c0_1 (a24))) -> (~(c1_1 (a24))) -> (c2_1 (a24)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> (~(hskp8)) -> (~(hskp4)) -> ((hskp17)\/((hskp8)\/(hskp4))) -> False). % 1.14/1.36 do 0 intro. intros zenon_H19f zenon_H9c zenon_H17b zenon_H9d zenon_H63 zenon_H289 zenon_H288 zenon_H17 zenon_H15 zenon_Hd3 zenon_Hfc zenon_H1c6 zenon_H247 zenon_H5 zenon_H11f zenon_H120 zenon_H121 zenon_H14a zenon_Hc1 zenon_He0 zenon_Hc2 zenon_H91 zenon_H93 zenon_H1c1 zenon_H48 zenon_H177 zenon_Hde zenon_H162 zenon_H102 zenon_H103 zenon_H104 zenon_H95 zenon_H1a9 zenon_H1da zenon_Hb zenon_Hd zenon_Hf. % 1.14/1.36 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H1a. zenon_intro zenon_H1a0. % 1.14/1.36 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H18f. zenon_intro zenon_H1a1. % 1.14/1.36 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H19a. zenon_intro zenon_H18e. % 1.14/1.36 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.14/1.36 apply (zenon_L8_); trivial. % 1.14/1.36 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.14/1.36 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.14/1.36 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.14/1.36 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.14/1.36 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.14/1.36 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H13 | zenon_intro zenon_Ha1 ]. % 1.14/1.36 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H11 | zenon_intro zenon_H41 ]. % 1.14/1.36 apply (zenon_L12_); trivial. % 1.14/1.36 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H1a. zenon_intro zenon_H44. % 1.14/1.36 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H1d. zenon_intro zenon_H45. % 1.14/1.36 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H1e. zenon_intro zenon_H1f. % 1.14/1.36 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1be ]. % 1.14/1.36 apply (zenon_L379_); trivial. % 1.14/1.36 apply (zenon_L273_); trivial. % 1.14/1.36 apply (zenon_L546_); trivial. % 1.14/1.36 apply (zenon_L531_); trivial. % 1.14/1.36 apply (zenon_L153_); trivial. % 1.14/1.36 (* end of lemma zenon_L548_ *) % 1.14/1.36 assert (zenon_L549_ : ((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (c3_1 (a33)) -> (c2_1 (a33)) -> (~(c0_1 (a33))) -> (~(hskp13)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (c2_1 (a31)) -> (c0_1 (a31)) -> (~(c1_1 (a31))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (~(c2_1 (a16))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/(hskp13))) -> (~(hskp11)) -> False). % 1.14/1.36 do 0 intro. intros zenon_H1be zenon_H93 zenon_H171 zenon_H16a zenon_H168 zenon_H5 zenon_Hd3 zenon_H33 zenon_H3c zenon_H32 zenon_Hfc zenon_Heb zenon_Hea zenon_He9 zenon_H247 zenon_H91. % 1.14/1.36 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H1a. zenon_intro zenon_H1bf. % 1.14/1.36 apply (zenon_and_s _ _ zenon_H1bf). zenon_intro zenon_H1b5. zenon_intro zenon_H1c0. % 1.14/1.36 apply (zenon_and_s _ _ zenon_H1c0). zenon_intro zenon_H1b6. zenon_intro zenon_H1b7. % 1.14/1.36 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H49 | zenon_intro zenon_H94 ]. % 1.14/1.36 apply (zenon_L105_); trivial. % 1.14/1.36 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H8e | zenon_intro zenon_H92 ]. % 1.14/1.36 apply (zenon_or_s _ _ zenon_H247); [ zenon_intro zenon_Hf2 | zenon_intro zenon_H248 ]. % 1.14/1.36 apply (zenon_L173_); trivial. % 1.14/1.36 apply (zenon_or_s _ _ zenon_H248); [ zenon_intro zenon_H243 | zenon_intro zenon_H6 ]. % 1.14/1.36 apply (zenon_L523_); trivial. % 1.14/1.36 exact (zenon_H5 zenon_H6). % 1.14/1.36 exact (zenon_H91 zenon_H92). % 1.14/1.36 (* end of lemma zenon_L549_ *) % 1.14/1.36 assert (zenon_L550_ : ((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (c2_1 (a31)) -> (c0_1 (a31)) -> (~(c1_1 (a31))) -> (~(hskp13)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/(hskp13))) -> (~(c2_1 (a16))) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> (~(hskp16)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((hskp26)\/(hskp16))) -> False). % 1.14/1.36 do 0 intro. intros zenon_H176 zenon_H1c1 zenon_H93 zenon_H91 zenon_Hfc zenon_Hd3 zenon_H33 zenon_H3c zenon_H32 zenon_H5 zenon_H247 zenon_He9 zenon_Hea zenon_Heb zenon_H1fd zenon_H1ff. % 1.14/1.36 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1a. zenon_intro zenon_H178. % 1.14/1.36 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H16a. zenon_intro zenon_H179. % 1.14/1.36 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H171. zenon_intro zenon_H168. % 1.14/1.36 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1be ]. % 1.14/1.36 apply (zenon_L195_); trivial. % 1.14/1.36 apply (zenon_L549_); trivial. % 1.14/1.36 (* end of lemma zenon_L550_ *) % 1.14/1.36 assert (zenon_L551_ : ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/(hskp13))) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (~(c2_1 (a16))) -> (forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11)))))) -> (ndr1_0) -> (~(c1_1 (a31))) -> (c0_1 (a31)) -> (c2_1 (a31)) -> (c0_1 (a10)) -> (c2_1 (a10)) -> (c3_1 (a10)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(hskp13)) -> False). % 1.14/1.36 do 0 intro. intros zenon_H247 zenon_Heb zenon_Hea zenon_He9 zenon_Hf3 zenon_H1a zenon_H32 zenon_H3c zenon_H33 zenon_H1b5 zenon_H1b6 zenon_H1b7 zenon_Hd3 zenon_H5. % 1.14/1.36 apply (zenon_or_s _ _ zenon_H247); [ zenon_intro zenon_Hf2 | zenon_intro zenon_H248 ]. % 1.14/1.36 apply (zenon_L64_); trivial. % 1.14/1.36 apply (zenon_or_s _ _ zenon_H248); [ zenon_intro zenon_H243 | zenon_intro zenon_H6 ]. % 1.14/1.36 apply (zenon_L271_); trivial. % 1.14/1.36 exact (zenon_H5 zenon_H6). % 1.14/1.36 (* end of lemma zenon_L551_ *) % 1.14/1.36 assert (zenon_L552_ : ((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31)))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(hskp0))) -> (~(c3_1 (a25))) -> (c0_1 (a25)) -> (c1_1 (a25)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(hskp11)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> ((hskp24)\/((hskp23)\/(hskp0))) -> (~(hskp0)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (~(c0_1 (a30))) -> (c1_1 (a30)) -> (~(hskp10)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (c2_1 (a24)) -> (~(c1_1 (a24))) -> (~(c0_1 (a24))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> False). % 1.14/1.36 do 0 intro. intros zenon_H9e zenon_H9d zenon_H63 zenon_H18e zenon_H18f zenon_H19a zenon_Hfc zenon_H91 zenon_H93 zenon_H17 zenon_H15 zenon_H95 zenon_H201 zenon_H203 zenon_H2d zenon_H43 zenon_H104 zenon_H103 zenon_H102 zenon_H162 zenon_Hde zenon_Hd3 zenon_H177 zenon_H48. % 1.14/1.36 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.14/1.36 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.14/1.36 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.14/1.36 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H13 | zenon_intro zenon_Ha1 ]. % 1.14/1.36 apply (zenon_L500_); trivial. % 1.14/1.36 apply (zenon_L119_); trivial. % 1.14/1.36 (* end of lemma zenon_L552_ *) % 1.14/1.36 assert (zenon_L553_ : ((ndr1_0)/\((c1_1 (a30))/\((~(c0_1 (a30)))/\(~(c2_1 (a30)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(hskp0))) -> (~(c3_1 (a25))) -> (c0_1 (a25)) -> (c1_1 (a25)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(hskp11)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> ((hskp24)\/((hskp23)\/(hskp0))) -> (~(hskp0)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (~(hskp10)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (c2_1 (a24)) -> (~(c1_1 (a24))) -> (~(c0_1 (a24))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> (~(hskp8)) -> (~(hskp4)) -> ((hskp17)\/((hskp8)\/(hskp4))) -> False). % 1.14/1.36 do 0 intro. intros zenon_H20b zenon_H9c zenon_H9d zenon_H63 zenon_H18e zenon_H18f zenon_H19a zenon_Hfc zenon_H91 zenon_H93 zenon_H17 zenon_H15 zenon_H95 zenon_H2d zenon_H43 zenon_H104 zenon_H103 zenon_H102 zenon_H162 zenon_Hde zenon_Hd3 zenon_H177 zenon_H48 zenon_Hb zenon_Hd zenon_Hf. % 1.14/1.36 apply (zenon_and_s _ _ zenon_H20b). zenon_intro zenon_H1a. zenon_intro zenon_H20c. % 1.14/1.36 apply (zenon_and_s _ _ zenon_H20c). zenon_intro zenon_H203. zenon_intro zenon_H20d. % 1.14/1.36 apply (zenon_and_s _ _ zenon_H20d). zenon_intro zenon_H201. zenon_intro zenon_H202. % 1.14/1.36 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.14/1.36 apply (zenon_L8_); trivial. % 1.14/1.36 apply (zenon_L552_); trivial. % 1.14/1.36 (* end of lemma zenon_L553_ *) % 1.14/1.36 assert (zenon_L554_ : ((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(hskp0))) -> (~(c1_1 (a5))) -> (~(c2_1 (a5))) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> ((hskp24)\/((hskp23)\/(hskp0))) -> (~(hskp0)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (c2_1 (a24)) -> (~(c1_1 (a24))) -> (~(c0_1 (a24))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> (~(hskp1)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> (c2_1 (a18)) -> (c0_1 (a18)) -> (~(c3_1 (a18))) -> (~(c0_1 (a30))) -> (~(c2_1 (a30))) -> (c1_1 (a30)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(hskp5)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp5))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> False). % 1.14/1.36 do 0 intro. intros zenon_H9e zenon_H1da zenon_H9d zenon_H63 zenon_H288 zenon_H289 zenon_Hd zenon_H1a9 zenon_H17 zenon_H15 zenon_H95 zenon_H104 zenon_H103 zenon_H102 zenon_H162 zenon_Hde zenon_H177 zenon_H48 zenon_H1c6 zenon_Hc2 zenon_He0 zenon_Hc1 zenon_H201 zenon_H202 zenon_H203 zenon_Hd3 zenon_Hd4 zenon_Hdc zenon_H1c1. % 1.14/1.36 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.14/1.36 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.14/1.36 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.14/1.36 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.14/1.36 apply (zenon_L201_); trivial. % 1.14/1.36 apply (zenon_L531_); trivial. % 1.14/1.36 (* end of lemma zenon_L554_ *) % 1.14/1.36 assert (zenon_L555_ : ((ndr1_0)/\((c1_1 (a30))/\((~(c0_1 (a30)))/\(~(c2_1 (a30)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(hskp0))) -> (~(c1_1 (a5))) -> (~(c2_1 (a5))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> ((hskp24)\/((hskp23)\/(hskp0))) -> (~(hskp0)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (c2_1 (a24)) -> (~(c1_1 (a24))) -> (~(c0_1 (a24))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> (~(hskp1)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> (c2_1 (a18)) -> (c0_1 (a18)) -> (~(c3_1 (a18))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(hskp5)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp5))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> (~(hskp8)) -> (~(hskp4)) -> ((hskp17)\/((hskp8)\/(hskp4))) -> False). % 1.14/1.36 do 0 intro. intros zenon_H20b zenon_H9c zenon_H1da zenon_H9d zenon_H63 zenon_H288 zenon_H289 zenon_H1a9 zenon_H17 zenon_H15 zenon_H95 zenon_H104 zenon_H103 zenon_H102 zenon_H162 zenon_Hde zenon_H177 zenon_H48 zenon_H1c6 zenon_Hc2 zenon_He0 zenon_Hc1 zenon_Hd3 zenon_Hd4 zenon_Hdc zenon_H1c1 zenon_Hb zenon_Hd zenon_Hf. % 1.14/1.36 apply (zenon_and_s _ _ zenon_H20b). zenon_intro zenon_H1a. zenon_intro zenon_H20c. % 1.14/1.36 apply (zenon_and_s _ _ zenon_H20c). zenon_intro zenon_H203. zenon_intro zenon_H20d. % 1.14/1.36 apply (zenon_and_s _ _ zenon_H20d). zenon_intro zenon_H201. zenon_intro zenon_H202. % 1.14/1.36 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.14/1.36 apply (zenon_L8_); trivial. % 1.14/1.36 apply (zenon_L554_); trivial. % 1.14/1.36 (* end of lemma zenon_L555_ *) % 1.14/1.36 assert (zenon_L556_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (c2_1 (a24)) -> (~(c1_1 (a24))) -> (~(hskp1)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> (~(c3_1 (a32))) -> (~(c1_1 (a32))) -> (~(c0_1 (a32))) -> (~(hskp23)) -> (~(hskp0)) -> ((hskp24)\/((hskp23)\/(hskp0))) -> False). % 1.14/1.36 do 0 intro. intros zenon_H48 zenon_H177 zenon_Hd3 zenon_H104 zenon_H103 zenon_Hde zenon_H162 zenon_H151 zenon_H150 zenon_H14f zenon_H13 zenon_H15 zenon_H17. % 1.14/1.36 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H11 | zenon_intro zenon_H41 ]. % 1.14/1.36 apply (zenon_L12_); trivial. % 1.14/1.36 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H1a. zenon_intro zenon_H44. % 1.14/1.36 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H1d. zenon_intro zenon_H45. % 1.14/1.36 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H1e. zenon_intro zenon_H1f. % 1.14/1.36 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hd6 ]. % 1.14/1.36 apply (zenon_L87_); trivial. % 1.14/1.36 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H165 ]. % 1.14/1.36 apply (zenon_L87_); trivial. % 1.14/1.36 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H31 | zenon_intro zenon_Hdf ]. % 1.14/1.36 apply (zenon_L294_); trivial. % 1.14/1.36 exact (zenon_Hde zenon_Hdf). % 1.14/1.36 (* end of lemma zenon_L556_ *) % 1.14/1.36 assert (zenon_L557_ : ((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32)))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> (~(hskp4)) -> (c0_1 (a15)) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> ((hskp24)\/((hskp23)\/(hskp0))) -> (~(hskp0)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> (~(hskp1)) -> (~(c1_1 (a24))) -> (c2_1 (a24)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> False). % 1.14/1.36 do 0 intro. intros zenon_H17c zenon_H9d zenon_H1a9 zenon_Hd zenon_H117 zenon_H116 zenon_H115 zenon_H17 zenon_H15 zenon_H162 zenon_Hde zenon_H103 zenon_H104 zenon_Hd3 zenon_H177 zenon_H48. % 1.14/1.36 apply (zenon_and_s _ _ zenon_H17c). zenon_intro zenon_H1a. zenon_intro zenon_H17d. % 1.14/1.36 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H14f. zenon_intro zenon_H17e. % 1.14/1.36 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_H150. zenon_intro zenon_H151. % 1.14/1.36 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H13 | zenon_intro zenon_Ha1 ]. % 1.14/1.36 apply (zenon_L556_); trivial. % 1.14/1.36 apply (zenon_L511_); trivial. % 1.14/1.36 (* end of lemma zenon_L557_ *) % 1.14/1.36 assert (zenon_L558_ : ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> (~(hskp4)) -> (c0_1 (a15)) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> ((hskp24)\/((hskp23)\/(hskp0))) -> (~(hskp0)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> (~(hskp1)) -> (~(c1_1 (a24))) -> (c2_1 (a24)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> (ndr1_0) -> (~(c2_1 (a14))) -> (c0_1 (a14)) -> (c3_1 (a14)) -> (~(hskp17)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> False). % 1.14/1.36 do 0 intro. intros zenon_H17a zenon_H9d zenon_H1a9 zenon_Hd zenon_H117 zenon_H116 zenon_H115 zenon_H17 zenon_H15 zenon_H162 zenon_Hde zenon_H103 zenon_H104 zenon_Hd3 zenon_H177 zenon_H48 zenon_H1a zenon_H11f zenon_H120 zenon_H121 zenon_H9 zenon_H12a. % 1.14/1.36 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H128 | zenon_intro zenon_H17c ]. % 1.14/1.36 apply (zenon_L78_); trivial. % 1.14/1.36 apply (zenon_L557_); trivial. % 1.14/1.36 (* end of lemma zenon_L558_ *) % 1.14/1.36 assert (zenon_L559_ : ((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/(hskp13))) -> (c0_1 (a15)) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> (~(c1_1 (a31))) -> (c0_1 (a31)) -> (c2_1 (a31)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(hskp13)) -> False). % 1.14/1.36 do 0 intro. intros zenon_H1be zenon_H247 zenon_H117 zenon_H116 zenon_H115 zenon_H32 zenon_H3c zenon_H33 zenon_Hd3 zenon_H5. % 1.14/1.36 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H1a. zenon_intro zenon_H1bf. % 1.14/1.36 apply (zenon_and_s _ _ zenon_H1bf). zenon_intro zenon_H1b5. zenon_intro zenon_H1c0. % 1.14/1.36 apply (zenon_and_s _ _ zenon_H1c0). zenon_intro zenon_H1b6. zenon_intro zenon_H1b7. % 1.14/1.36 apply (zenon_or_s _ _ zenon_H247); [ zenon_intro zenon_Hf2 | zenon_intro zenon_H248 ]. % 1.14/1.36 apply (zenon_L73_); trivial. % 1.14/1.36 apply (zenon_or_s _ _ zenon_H248); [ zenon_intro zenon_H243 | zenon_intro zenon_H6 ]. % 1.14/1.36 apply (zenon_L271_); trivial. % 1.14/1.36 exact (zenon_H5 zenon_H6). % 1.14/1.36 (* end of lemma zenon_L559_ *) % 1.14/1.36 assert (zenon_L560_ : ((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(hskp0))) -> (~(c1_1 (a5))) -> (~(c2_1 (a5))) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> ((hskp24)\/((hskp23)\/(hskp0))) -> (~(hskp0)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (c2_1 (a24)) -> (~(c1_1 (a24))) -> (~(c0_1 (a24))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> (~(hskp1)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c1_1 (a25)) -> (c0_1 (a25)) -> (~(c3_1 (a25))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (c0_1 (a15)) -> (~(hskp13)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/(hskp13))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> False). % 1.14/1.36 do 0 intro. intros zenon_H9e zenon_H1da zenon_H9d zenon_H63 zenon_H288 zenon_H289 zenon_Hd zenon_H1a9 zenon_H17 zenon_H15 zenon_H95 zenon_H104 zenon_H103 zenon_H102 zenon_H162 zenon_Hde zenon_H177 zenon_H48 zenon_Hd3 zenon_Hfc zenon_H19a zenon_H18f zenon_H18e zenon_H1c6 zenon_H115 zenon_H116 zenon_H117 zenon_H5 zenon_H247 zenon_H1c1. % 1.14/1.36 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.14/1.36 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.14/1.36 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.14/1.36 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.14/1.36 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1be ]. % 1.14/1.36 apply (zenon_L379_); trivial. % 1.14/1.36 apply (zenon_L559_); trivial. % 1.14/1.36 apply (zenon_L531_); trivial. % 1.14/1.36 (* end of lemma zenon_L560_ *) % 1.14/1.36 assert (zenon_L561_ : ((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(~(c3_1 (a25)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(hskp0))) -> (~(c1_1 (a5))) -> (~(c2_1 (a5))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (~(c0_1 (a24))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> (~(hskp13)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/(hskp13))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> (c3_1 (a14)) -> (c0_1 (a14)) -> (~(c2_1 (a14))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (c2_1 (a24)) -> (~(c1_1 (a24))) -> (~(hskp1)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> (~(hskp0)) -> ((hskp24)\/((hskp23)\/(hskp0))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (c0_1 (a15)) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> False). % 1.14/1.36 do 0 intro. intros zenon_H19f zenon_H9c zenon_H1da zenon_H63 zenon_H288 zenon_H289 zenon_H95 zenon_H102 zenon_Hfc zenon_H1c6 zenon_H5 zenon_H247 zenon_H1c1 zenon_H12a zenon_H121 zenon_H120 zenon_H11f zenon_H48 zenon_H177 zenon_Hd3 zenon_H104 zenon_H103 zenon_Hde zenon_H162 zenon_H15 zenon_H17 zenon_H115 zenon_H116 zenon_H117 zenon_Hd zenon_H1a9 zenon_H9d zenon_H17a. % 1.14/1.36 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H1a. zenon_intro zenon_H1a0. % 1.14/1.36 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H18f. zenon_intro zenon_H1a1. % 1.14/1.36 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H19a. zenon_intro zenon_H18e. % 1.14/1.36 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.14/1.36 apply (zenon_L558_); trivial. % 1.14/1.36 apply (zenon_L560_); trivial. % 1.14/1.36 (* end of lemma zenon_L561_ *) % 1.14/1.36 assert (zenon_L562_ : ((ndr1_0)/\((~(c0_1 (a22)))/\((~(c2_1 (a22)))/\(~(c3_1 (a22)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a24))/\((~(c0_1 (a24)))/\(~(c1_1 (a24))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> (~(hskp4)) -> ((hskp24)\/((hskp23)\/(hskp0))) -> (~(hskp0)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(hskp0))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> (c3_1 (a14)) -> (c0_1 (a14)) -> (~(c2_1 (a14))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(c3_1 X17))))))) -> (~(c3_1 (a5))) -> (~(c2_1 (a5))) -> (~(c1_1 (a5))) -> (~(hskp1)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (c0_1 (a15)) -> (~(hskp2)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((hskp2)\/(hskp14))) -> False). % 1.14/1.36 do 0 intro. intros zenon_H284 zenon_H112 zenon_H9c zenon_H9d zenon_H1a9 zenon_Hd zenon_H17 zenon_H15 zenon_H177 zenon_Hd3 zenon_H95 zenon_H63 zenon_H48 zenon_H12a zenon_H121 zenon_H120 zenon_H11f zenon_H2a1 zenon_H29c zenon_H289 zenon_H288 zenon_Hde zenon_H162 zenon_H17a zenon_H115 zenon_H116 zenon_H117 zenon_Hfe zenon_H113. % 1.14/1.36 apply (zenon_and_s _ _ zenon_H284). zenon_intro zenon_H1a. zenon_intro zenon_H285. % 1.14/1.36 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_H80. zenon_intro zenon_H286. % 1.14/1.36 apply (zenon_and_s _ _ zenon_H286). zenon_intro zenon_H89. zenon_intro zenon_H81. % 1.14/1.36 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_H100 | zenon_intro zenon_H10d ]. % 1.14/1.36 apply (zenon_L74_); trivial. % 1.14/1.36 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_H1a. zenon_intro zenon_H10f. % 1.14/1.36 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H104. zenon_intro zenon_H110. % 1.14/1.36 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_H102. zenon_intro zenon_H103. % 1.14/1.36 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.14/1.36 apply (zenon_L535_); trivial. % 1.14/1.36 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.14/1.36 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.14/1.36 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.14/1.36 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H13 | zenon_intro zenon_Ha1 ]. % 1.14/1.36 apply (zenon_L296_); trivial. % 1.14/1.36 apply (zenon_L511_); trivial. % 1.14/1.36 (* end of lemma zenon_L562_ *) % 1.14/1.36 assert (zenon_L563_ : ((~(hskp23))\/((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> (c0_1 (a15)) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> ((hskp24)\/((hskp23)\/(hskp0))) -> (~(hskp0)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (~(hskp15)) -> (c0_1 (a14)) -> (~(c2_1 (a14))) -> (c3_1 (a14)) -> (~(hskp19)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp10)) -> (c0_1 (a31)) -> (c2_1 (a31)) -> (~(c1_1 (a31))) -> (~(hskp4)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> False). % 1.14/1.36 do 0 intro. intros zenon_H9d zenon_H1a9 zenon_H117 zenon_H116 zenon_H115 zenon_H17 zenon_H15 zenon_H149 zenon_H146 zenon_H120 zenon_H11f zenon_H121 zenon_H144 zenon_H14a zenon_H43 zenon_H2d zenon_H3c zenon_H33 zenon_H32 zenon_Hd zenon_H42 zenon_H48. % 1.14/1.36 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H13 | zenon_intro zenon_Ha1 ]. % 1.14/1.36 apply (zenon_L99_); trivial. % 1.14/1.36 apply (zenon_L511_); trivial. % 1.14/1.36 (* end of lemma zenon_L563_ *) % 1.14/1.36 assert (zenon_L564_ : (forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32)))))) -> (ndr1_0) -> (~(c0_1 (a33))) -> (forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13)))))) -> (c3_1 (a33)) -> False). % 1.14/1.36 do 0 intro. intros zenon_H1b zenon_H1a zenon_H168 zenon_H1a5 zenon_H171. % 1.14/1.36 generalize (zenon_H1b (a33)). zenon_intro zenon_H181. % 1.14/1.36 apply (zenon_imply_s _ _ zenon_H181); [ zenon_intro zenon_H19 | zenon_intro zenon_H182 ]. % 1.14/1.36 exact (zenon_H19 zenon_H1a). % 1.14/1.36 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H16e | zenon_intro zenon_H183 ]. % 1.14/1.36 exact (zenon_H168 zenon_H16e). % 1.14/1.36 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H170 | zenon_intro zenon_H175 ]. % 1.14/1.36 generalize (zenon_H1a5 (a33)). zenon_intro zenon_H2a3. % 1.14/1.36 apply (zenon_imply_s _ _ zenon_H2a3); [ zenon_intro zenon_H19 | zenon_intro zenon_H2a4 ]. % 1.14/1.36 exact (zenon_H19 zenon_H1a). % 1.14/1.36 apply (zenon_or_s _ _ zenon_H2a4); [ zenon_intro zenon_H16e | zenon_intro zenon_H2a5 ]. % 1.14/1.36 exact (zenon_H168 zenon_H16e). % 1.14/1.36 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_H169 | zenon_intro zenon_H175 ]. % 1.14/1.36 exact (zenon_H170 zenon_H169). % 1.14/1.36 exact (zenon_H175 zenon_H171). % 1.14/1.36 exact (zenon_H175 zenon_H171). % 1.14/1.36 (* end of lemma zenon_L564_ *) % 1.14/1.36 assert (zenon_L565_ : ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13)))))) -> (c3_1 (a33)) -> (c2_1 (a33)) -> (~(c0_1 (a33))) -> (forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1)))))) -> (ndr1_0) -> (~(hskp10)) -> False). % 1.14/1.36 do 0 intro. intros zenon_H43 zenon_H1a5 zenon_H171 zenon_H16a zenon_H168 zenon_Hd6 zenon_H1a zenon_H2d. % 1.14/1.36 apply (zenon_or_s _ _ zenon_H43); [ zenon_intro zenon_H1b | zenon_intro zenon_H47 ]. % 1.14/1.36 apply (zenon_L564_); trivial. % 1.14/1.36 apply (zenon_or_s _ _ zenon_H47); [ zenon_intro zenon_H31 | zenon_intro zenon_H2e ]. % 1.14/1.36 apply (zenon_L92_); trivial. % 1.14/1.36 exact (zenon_H2d zenon_H2e). % 1.14/1.36 (* end of lemma zenon_L565_ *) % 1.14/1.36 assert (zenon_L566_ : ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> (~(hskp10)) -> (forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1)))))) -> (~(c0_1 (a33))) -> (c2_1 (a33)) -> (c3_1 (a33)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (c0_1 (a15)) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> (ndr1_0) -> (~(hskp4)) -> False). % 1.14/1.36 do 0 intro. intros zenon_H1a9 zenon_H2d zenon_Hd6 zenon_H168 zenon_H16a zenon_H171 zenon_H43 zenon_H117 zenon_H116 zenon_H115 zenon_H1a zenon_Hd. % 1.14/1.36 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H1aa ]. % 1.14/1.36 apply (zenon_L565_); trivial. % 1.14/1.36 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_Hf2 | zenon_intro zenon_He ]. % 1.14/1.36 apply (zenon_L73_); trivial. % 1.14/1.36 exact (zenon_Hd zenon_He). % 1.14/1.36 (* end of lemma zenon_L566_ *) % 1.14/1.36 assert (zenon_L567_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> (~(hskp20)) -> (c2_1 (a19)) -> (~(c1_1 (a19))) -> (~(c3_1 (a19))) -> (ndr1_0) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> (~(hskp4)) -> (c0_1 (a15)) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> (~(c0_1 (a33))) -> (c3_1 (a33)) -> (c2_1 (a33)) -> (~(hskp10)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> False). % 1.14/1.36 do 0 intro. intros zenon_H1c1 zenon_Hd3 zenon_H1c6 zenon_H1c4 zenon_Hb0 zenon_Hae zenon_Haf zenon_H1a zenon_H1a9 zenon_Hd zenon_H117 zenon_H116 zenon_H115 zenon_H168 zenon_H171 zenon_H16a zenon_H2d zenon_H43 zenon_H177. % 1.14/1.36 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1be ]. % 1.14/1.36 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hd6 ]. % 1.14/1.36 apply (zenon_L140_); trivial. % 1.14/1.36 apply (zenon_L566_); trivial. % 1.14/1.36 apply (zenon_L134_); trivial. % 1.14/1.36 (* end of lemma zenon_L567_ *) % 1.14/1.36 assert (zenon_L568_ : ((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> (~(c0_1 (a24))) -> (~(c1_1 (a24))) -> (c2_1 (a24)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp10)) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (c0_1 (a15)) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> (~(c3_1 (a19))) -> (~(c1_1 (a19))) -> (c2_1 (a19)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> False). % 1.14/1.36 do 0 intro. intros zenon_H176 zenon_H1da zenon_H102 zenon_H103 zenon_H104 zenon_H95 zenon_H177 zenon_H43 zenon_H2d zenon_H115 zenon_H116 zenon_H117 zenon_Hd zenon_H1a9 zenon_Haf zenon_Hae zenon_Hb0 zenon_H1c6 zenon_Hd3 zenon_H1c1. % 1.14/1.36 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1a. zenon_intro zenon_H178. % 1.14/1.36 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H16a. zenon_intro zenon_H179. % 1.14/1.36 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H171. zenon_intro zenon_H168. % 1.14/1.36 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.14/1.36 apply (zenon_L567_); trivial. % 1.14/1.36 apply (zenon_L312_); trivial. % 1.14/1.36 (* end of lemma zenon_L568_ *) % 1.14/1.36 assert (zenon_L569_ : ((ndr1_0)/\((c2_1 (a19))/\((~(c1_1 (a19)))/\(~(c3_1 (a19)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a24))/\((~(c0_1 (a24)))/\(~(c1_1 (a24))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(~(c3_1 (a25))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp24))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> (~(hskp4)) -> ((hskp24)\/((hskp23)\/(hskp0))) -> (~(hskp0)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> (~(c2_1 (a14))) -> (c0_1 (a14)) -> (c3_1 (a14)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (c0_1 (a15)) -> (~(hskp2)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((hskp2)\/(hskp14))) -> False). % 1.14/1.36 do 0 intro. intros zenon_He5 zenon_H112 zenon_H1a2 zenon_H1f8 zenon_H17a zenon_H9d zenon_H1a9 zenon_Hd zenon_H17 zenon_H15 zenon_H162 zenon_Hde zenon_Hd3 zenon_H177 zenon_H48 zenon_H11f zenon_H120 zenon_H121 zenon_H12a zenon_H149 zenon_H14a zenon_H43 zenon_H2d zenon_H42 zenon_H1c1 zenon_H1c6 zenon_H95 zenon_H1da zenon_H17b zenon_H9c zenon_H115 zenon_H116 zenon_H117 zenon_Hfe zenon_H113. % 1.14/1.36 apply (zenon_and_s _ _ zenon_He5). zenon_intro zenon_H1a. zenon_intro zenon_He6. % 1.14/1.36 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_Hb0. zenon_intro zenon_He7. % 1.14/1.36 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hae. zenon_intro zenon_Haf. % 1.14/1.36 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_H100 | zenon_intro zenon_H10d ]. % 1.14/1.36 apply (zenon_L74_); trivial. % 1.14/1.36 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_H1a. zenon_intro zenon_H10f. % 1.14/1.36 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H104. zenon_intro zenon_H110. % 1.14/1.36 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_H102. zenon_intro zenon_H103. % 1.14/1.36 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H146 | zenon_intro zenon_H19f ]. % 1.14/1.36 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.14/1.36 apply (zenon_L558_); trivial. % 1.14/1.36 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.14/1.36 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.14/1.36 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.14/1.36 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.14/1.36 apply (zenon_L563_); trivial. % 1.14/1.36 apply (zenon_L568_); trivial. % 1.14/1.36 apply (zenon_L543_); trivial. % 1.14/1.36 (* end of lemma zenon_L569_ *) % 1.14/1.36 assert (zenon_L570_ : ((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/(hskp13))) -> (~(hskp13)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (c0_1 (a15)) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> (~(c2_1 (a16))) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> (~(hskp16)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((hskp26)\/(hskp16))) -> False). % 1.14/1.36 do 0 intro. intros zenon_H9e zenon_H1c1 zenon_H247 zenon_H5 zenon_Hd3 zenon_H117 zenon_H116 zenon_H115 zenon_He9 zenon_Hea zenon_Heb zenon_H1fd zenon_H1ff. % 1.14/1.36 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.14/1.36 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.14/1.36 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.14/1.36 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1be ]. % 1.14/1.36 apply (zenon_L195_); trivial. % 1.14/1.36 apply (zenon_L559_); trivial. % 1.14/1.36 (* end of lemma zenon_L570_ *) % 1.14/1.36 assert (zenon_L571_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/(hskp13))) -> (~(hskp13)) -> (~(c2_1 (a16))) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> (~(hskp16)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((hskp26)\/(hskp16))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> (c3_1 (a14)) -> (c0_1 (a14)) -> (~(c2_1 (a14))) -> (ndr1_0) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (c2_1 (a24)) -> (~(c1_1 (a24))) -> (~(hskp1)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> (~(hskp0)) -> ((hskp24)\/((hskp23)\/(hskp0))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (c0_1 (a15)) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> False). % 1.14/1.36 do 0 intro. intros zenon_H9c zenon_H1c1 zenon_H247 zenon_H5 zenon_He9 zenon_Hea zenon_Heb zenon_H1fd zenon_H1ff zenon_H12a zenon_H121 zenon_H120 zenon_H11f zenon_H1a zenon_H48 zenon_H177 zenon_Hd3 zenon_H104 zenon_H103 zenon_Hde zenon_H162 zenon_H15 zenon_H17 zenon_H115 zenon_H116 zenon_H117 zenon_Hd zenon_H1a9 zenon_H9d zenon_H17a. % 1.14/1.36 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.14/1.36 apply (zenon_L558_); trivial. % 1.14/1.36 apply (zenon_L570_); trivial. % 1.14/1.36 (* end of lemma zenon_L571_ *) % 1.14/1.36 assert (zenon_L572_ : ((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> (~(hskp1)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> (~(c0_1 (a24))) -> (~(c1_1 (a24))) -> (c2_1 (a24)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp10)) -> (c1_1 (a30)) -> (~(c0_1 (a30))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> False). % 1.14/1.36 do 0 intro. intros zenon_H176 zenon_H177 zenon_Hde zenon_H162 zenon_H102 zenon_H103 zenon_H104 zenon_H43 zenon_H2d zenon_H203 zenon_H201 zenon_H95. % 1.14/1.36 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1a. zenon_intro zenon_H178. % 1.14/1.36 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H16a. zenon_intro zenon_H179. % 1.14/1.36 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H171. zenon_intro zenon_H168. % 1.14/1.36 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hd6 ]. % 1.14/1.36 apply (zenon_L499_); trivial. % 1.14/1.36 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H165 ]. % 1.14/1.36 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H65 | zenon_intro zenon_H96 ]. % 1.14/1.36 apply (zenon_L143_); trivial. % 1.14/1.36 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H7f | zenon_intro zenon_H31 ]. % 1.14/1.36 apply (zenon_L498_); trivial. % 1.14/1.36 apply (zenon_L291_); trivial. % 1.14/1.36 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H31 | zenon_intro zenon_Hdf ]. % 1.14/1.36 apply (zenon_L92_); trivial. % 1.14/1.36 exact (zenon_Hde zenon_Hdf). % 1.14/1.36 (* end of lemma zenon_L572_ *) % 1.14/1.36 assert (zenon_L573_ : ((ndr1_0)/\((c1_1 (a30))/\((~(c0_1 (a30)))/\(~(c2_1 (a30)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> (~(c0_1 (a24))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> (~(hskp10)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp15)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> (c3_1 (a14)) -> (c0_1 (a14)) -> (~(c2_1 (a14))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (c2_1 (a24)) -> (~(c1_1 (a24))) -> (~(hskp1)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> (~(hskp0)) -> ((hskp24)\/((hskp23)\/(hskp0))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (c0_1 (a15)) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> False). % 1.14/1.36 do 0 intro. intros zenon_H20b zenon_H9c zenon_H17b zenon_H102 zenon_H95 zenon_H42 zenon_H2d zenon_H43 zenon_H14a zenon_H146 zenon_H149 zenon_H12a zenon_H121 zenon_H120 zenon_H11f zenon_H48 zenon_H177 zenon_Hd3 zenon_H104 zenon_H103 zenon_Hde zenon_H162 zenon_H15 zenon_H17 zenon_H115 zenon_H116 zenon_H117 zenon_Hd zenon_H1a9 zenon_H9d zenon_H17a. % 1.14/1.36 apply (zenon_and_s _ _ zenon_H20b). zenon_intro zenon_H1a. zenon_intro zenon_H20c. % 1.14/1.36 apply (zenon_and_s _ _ zenon_H20c). zenon_intro zenon_H203. zenon_intro zenon_H20d. % 1.14/1.36 apply (zenon_and_s _ _ zenon_H20d). zenon_intro zenon_H201. zenon_intro zenon_H202. % 1.14/1.36 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.14/1.36 apply (zenon_L558_); trivial. % 1.14/1.36 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.14/1.36 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.14/1.36 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.14/1.36 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.14/1.36 apply (zenon_L563_); trivial. % 1.14/1.36 apply (zenon_L572_); trivial. % 1.14/1.36 (* end of lemma zenon_L573_ *) % 1.14/1.36 assert (zenon_L574_ : ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (c1_1 (a30)) -> (~(c0_1 (a30))) -> (c2_1 (a24)) -> (~(c1_1 (a24))) -> (~(c0_1 (a24))) -> (~(hskp10)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (~(hskp20)) -> (~(hskp26)) -> (ndr1_0) -> (~(c1_1 (a31))) -> (c2_1 (a31)) -> (c0_1 (a31)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> (~(hskp1)) -> False). % 1.14/1.36 do 0 intro. intros zenon_H162 zenon_H43 zenon_H203 zenon_H201 zenon_H104 zenon_H103 zenon_H102 zenon_H2d zenon_H95 zenon_H1c4 zenon_H1b3 zenon_H1a zenon_H32 zenon_H33 zenon_H3c zenon_H1c6 zenon_Hde. % 1.14/1.36 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H165 ]. % 1.14/1.36 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H65 | zenon_intro zenon_H96 ]. % 1.14/1.36 apply (zenon_L69_); trivial. % 1.14/1.36 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H7f | zenon_intro zenon_H31 ]. % 1.14/1.36 apply (zenon_L498_); trivial. % 1.14/1.36 apply (zenon_L141_); trivial. % 1.14/1.36 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H31 | zenon_intro zenon_Hdf ]. % 1.14/1.36 apply (zenon_L141_); trivial. % 1.14/1.36 exact (zenon_Hde zenon_Hdf). % 1.14/1.36 (* end of lemma zenon_L574_ *) % 1.14/1.36 assert (zenon_L575_ : ((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(hskp1)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp10)) -> (c1_1 (a30)) -> (~(c0_1 (a30))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (c2_1 (a24)) -> (~(c1_1 (a24))) -> (~(c0_1 (a24))) -> (~(c3_1 (a25))) -> (c0_1 (a25)) -> (c1_1 (a25)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp24))) -> False). % 1.14/1.36 do 0 intro. intros zenon_H1d7 zenon_H48 zenon_H177 zenon_Hd3 zenon_Hde zenon_H162 zenon_H43 zenon_H2d zenon_H203 zenon_H201 zenon_H95 zenon_H104 zenon_H103 zenon_H102 zenon_H18e zenon_H18f zenon_H19a zenon_H1f8. % 1.14/1.36 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H1a. zenon_intro zenon_H1d8. % 1.14/1.36 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1d0. zenon_intro zenon_H1d9. % 1.14/1.36 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1ce. zenon_intro zenon_H1cf. % 1.14/1.36 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H11 | zenon_intro zenon_H41 ]. % 1.14/1.36 apply (zenon_L542_); trivial. % 1.14/1.36 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H1a. zenon_intro zenon_H44. % 1.14/1.36 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H1d. zenon_intro zenon_H45. % 1.14/1.36 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H1e. zenon_intro zenon_H1f. % 1.14/1.36 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hd6 ]. % 1.14/1.36 apply (zenon_L499_); trivial. % 1.14/1.36 apply (zenon_L529_); trivial. % 1.14/1.36 (* end of lemma zenon_L575_ *) % 1.14/1.36 assert (zenon_L576_ : ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp5))) -> (c1_1 (a30)) -> (~(c2_1 (a30))) -> (~(c0_1 (a30))) -> (ndr1_0) -> (~(c3_1 (a18))) -> (c2_1 (a18)) -> (forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1)))))) -> (c1_1 (a3)) -> (c2_1 (a3)) -> (c3_1 (a3)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(hskp5)) -> False). % 1.14/1.36 do 0 intro. intros zenon_Hdc zenon_H203 zenon_H202 zenon_H201 zenon_H1a zenon_Hc1 zenon_Hc2 zenon_Hd6 zenon_H1d zenon_H1e zenon_H1f zenon_Hd3 zenon_Hd4. % 1.14/1.36 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hdd ]. % 1.14/1.36 apply (zenon_L198_); trivial. % 1.14/1.36 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hd5 ]. % 1.14/1.36 apply (zenon_L54_); trivial. % 1.14/1.36 exact (zenon_Hd4 zenon_Hd5). % 1.14/1.36 (* end of lemma zenon_L576_ *) % 1.14/1.36 assert (zenon_L577_ : ((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32)))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> (~(hskp4)) -> (c0_1 (a15)) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> ((hskp24)\/((hskp23)\/(hskp0))) -> (~(hskp0)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp5))) -> (~(hskp5)) -> (~(c3_1 (a18))) -> (c2_1 (a18)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (c1_1 (a30)) -> (~(c2_1 (a30))) -> (~(c0_1 (a30))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> False). % 1.14/1.36 do 0 intro. intros zenon_H17c zenon_H9d zenon_H1a9 zenon_Hd zenon_H117 zenon_H116 zenon_H115 zenon_H17 zenon_H15 zenon_Hdc zenon_Hd4 zenon_Hc1 zenon_Hc2 zenon_Hd3 zenon_H203 zenon_H202 zenon_H201 zenon_H177 zenon_H48. % 1.14/1.36 apply (zenon_and_s _ _ zenon_H17c). zenon_intro zenon_H1a. zenon_intro zenon_H17d. % 1.14/1.36 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H14f. zenon_intro zenon_H17e. % 1.14/1.36 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_H150. zenon_intro zenon_H151. % 1.14/1.36 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H13 | zenon_intro zenon_Ha1 ]. % 1.14/1.36 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H11 | zenon_intro zenon_H41 ]. % 1.14/1.36 apply (zenon_L12_); trivial. % 1.14/1.36 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H1a. zenon_intro zenon_H44. % 1.14/1.36 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H1d. zenon_intro zenon_H45. % 1.14/1.36 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H1e. zenon_intro zenon_H1f. % 1.14/1.36 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hd6 ]. % 1.14/1.36 apply (zenon_L87_); trivial. % 1.14/1.36 apply (zenon_L576_); trivial. % 1.14/1.36 apply (zenon_L511_); trivial. % 1.14/1.36 (* end of lemma zenon_L577_ *) % 1.14/1.36 assert (zenon_L578_ : ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> (~(hskp4)) -> (c0_1 (a15)) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> ((hskp24)\/((hskp23)\/(hskp0))) -> (~(hskp0)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp5))) -> (~(hskp5)) -> (~(c3_1 (a18))) -> (c2_1 (a18)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (c1_1 (a30)) -> (~(c2_1 (a30))) -> (~(c0_1 (a30))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> (ndr1_0) -> (~(c2_1 (a14))) -> (c0_1 (a14)) -> (c3_1 (a14)) -> (~(hskp17)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> False). % 1.14/1.36 do 0 intro. intros zenon_H17a zenon_H9d zenon_H1a9 zenon_Hd zenon_H117 zenon_H116 zenon_H115 zenon_H17 zenon_H15 zenon_Hdc zenon_Hd4 zenon_Hc1 zenon_Hc2 zenon_Hd3 zenon_H203 zenon_H202 zenon_H201 zenon_H177 zenon_H48 zenon_H1a zenon_H11f zenon_H120 zenon_H121 zenon_H9 zenon_H12a. % 1.14/1.36 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H128 | zenon_intro zenon_H17c ]. % 1.14/1.36 apply (zenon_L78_); trivial. % 1.14/1.36 apply (zenon_L577_); trivial. % 1.14/1.36 (* end of lemma zenon_L578_ *) % 1.14/1.36 assert (zenon_L579_ : ((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31)))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> (c0_1 (a15)) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> ((hskp24)\/((hskp23)\/(hskp0))) -> (~(hskp0)) -> (~(c0_1 (a30))) -> (~(c2_1 (a30))) -> (c1_1 (a30)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> (~(hskp4)) -> (~(c3_1 (a18))) -> (c2_1 (a18)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(hskp5)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp5))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> False). % 1.14/1.36 do 0 intro. intros zenon_H9e zenon_H9d zenon_H1a9 zenon_H117 zenon_H116 zenon_H115 zenon_H17 zenon_H15 zenon_H201 zenon_H202 zenon_H203 zenon_H42 zenon_Hd zenon_Hc1 zenon_Hc2 zenon_Hd3 zenon_Hd4 zenon_Hdc zenon_H48. % 1.14/1.36 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.14/1.36 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.14/1.36 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.14/1.36 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H13 | zenon_intro zenon_Ha1 ]. % 1.14/1.36 apply (zenon_L206_); trivial. % 1.14/1.36 apply (zenon_L511_); trivial. % 1.14/1.36 (* end of lemma zenon_L579_ *) % 1.14/1.36 assert (zenon_L580_ : ((ndr1_0)/\((c1_1 (a30))/\((~(c0_1 (a30)))/\(~(c2_1 (a30)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> (c3_1 (a14)) -> (c0_1 (a14)) -> (~(c2_1 (a14))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (c2_1 (a18)) -> (~(c3_1 (a18))) -> (~(hskp5)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp5))) -> (~(hskp0)) -> ((hskp24)\/((hskp23)\/(hskp0))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (c0_1 (a15)) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> False). % 1.14/1.36 do 0 intro. intros zenon_H20b zenon_H9c zenon_H42 zenon_H12a zenon_H121 zenon_H120 zenon_H11f zenon_H48 zenon_H177 zenon_Hd3 zenon_Hc2 zenon_Hc1 zenon_Hd4 zenon_Hdc zenon_H15 zenon_H17 zenon_H115 zenon_H116 zenon_H117 zenon_Hd zenon_H1a9 zenon_H9d zenon_H17a. % 1.14/1.36 apply (zenon_and_s _ _ zenon_H20b). zenon_intro zenon_H1a. zenon_intro zenon_H20c. % 1.14/1.36 apply (zenon_and_s _ _ zenon_H20c). zenon_intro zenon_H203. zenon_intro zenon_H20d. % 1.14/1.36 apply (zenon_and_s _ _ zenon_H20d). zenon_intro zenon_H201. zenon_intro zenon_H202. % 1.14/1.36 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.14/1.36 apply (zenon_L578_); trivial. % 1.14/1.36 apply (zenon_L579_); trivial. % 1.14/1.36 (* end of lemma zenon_L580_ *) % 1.14/1.36 assert (zenon_L581_ : ((ndr1_0)/\((c0_1 (a14))/\((c3_1 (a14))/\(~(c2_1 (a14)))))) -> ((~(hskp8))\/((ndr1_0)/\((c0_1 (a15))/\((~(c1_1 (a15)))/\(~(c2_1 (a15))))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a18))/\((c2_1 (a18))/\(~(c3_1 (a18))))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c0_1 (a22)))/\((~(c2_1 (a22)))/\(~(c3_1 (a22))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(c3_1 X17))))))) -> (~(c3_1 (a5))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> (~(c1_1 (a5))) -> (~(c2_1 (a5))) -> (~(hskp2)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((hskp2)\/(hskp14))) -> (~(hskp4)) -> ((hskp17)\/((hskp8)\/(hskp4))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/(hskp13))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> ((hskp24)\/((hskp23)\/(hskp0))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((hskp9)\/(hskp24))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> (~(hskp1)) -> ((hskp25)\/((hskp17)\/(hskp21))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp8)\/(hskp9))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(~(c3_1 (a25))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a24))/\((~(c0_1 (a24)))/\(~(c1_1 (a24))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp24))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a19))/\((~(c1_1 (a19)))/\(~(c3_1 (a19))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((hskp26)\/(hskp16))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a30))/\((~(c0_1 (a30)))/\(~(c2_1 (a30))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp5))) -> (~(hskp5)) -> ((~(hskp9))\/((ndr1_0)/\((c0_1 (a16))/\((~(c2_1 (a16)))/\(~(c3_1 (a16))))))) -> False). % 1.14/1.36 do 0 intro. intros zenon_H2a6 zenon_H211 zenon_H212 zenon_H287 zenon_H2a1 zenon_H29c zenon_H9c zenon_H63 zenon_H15 zenon_H288 zenon_H289 zenon_Hfe zenon_H113 zenon_Hd zenon_Hf zenon_H247 zenon_Hd3 zenon_H93 zenon_H48 zenon_H42 zenon_H43 zenon_H17 zenon_H1a9 zenon_H7b zenon_H9d zenon_H12a zenon_H166 zenon_H162 zenon_Hde zenon_H130 zenon_H14a zenon_H149 zenon_H167 zenon_H177 zenon_H17b zenon_H17a zenon_H1da zenon_H95 zenon_H1c1 zenon_H1e0 zenon_H1c6 zenon_Hfc zenon_H1a3 zenon_H1a2 zenon_H112 zenon_H1ee zenon_H1c2 zenon_H1f8 zenon_H213 zenon_H1ff zenon_H20a zenon_Hdc zenon_Hd4 zenon_H215. % 1.14/1.36 apply (zenon_and_s _ _ zenon_H2a6). zenon_intro zenon_H1a. zenon_intro zenon_H2a7. % 1.14/1.36 apply (zenon_and_s _ _ zenon_H2a7). zenon_intro zenon_H120. zenon_intro zenon_H2a8. % 1.14/1.36 apply (zenon_and_s _ _ zenon_H2a8). zenon_intro zenon_H121. zenon_intro zenon_H11f. % 1.14/1.36 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_Hb | zenon_intro zenon_H20e ]. % 1.14/1.36 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H3 | zenon_intro zenon_H216 ]. % 1.14/1.36 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H2d | zenon_intro zenon_H217 ]. % 1.14/1.36 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H91 | zenon_intro zenon_He5 ]. % 1.14/1.36 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H5 | zenon_intro zenon_H284 ]. % 1.14/1.36 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_H100 | zenon_intro zenon_H10d ]. % 1.14/1.36 apply (zenon_L494_); trivial. % 1.14/1.36 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_H1a. zenon_intro zenon_H10f. % 1.14/1.36 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H104. zenon_intro zenon_H110. % 1.14/1.36 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_H102. zenon_intro zenon_H103. % 1.14/1.36 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H146 | zenon_intro zenon_H19f ]. % 1.14/1.36 apply (zenon_L526_); trivial. % 1.14/1.36 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H1a. zenon_intro zenon_H1a0. % 1.14/1.36 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H18f. zenon_intro zenon_H1a1. % 1.14/1.36 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H19a. zenon_intro zenon_H18e. % 1.14/1.36 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.14/1.36 apply (zenon_L8_); trivial. % 1.14/1.36 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.14/1.36 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.14/1.36 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.14/1.36 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.14/1.36 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.14/1.36 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H13 | zenon_intro zenon_Ha1 ]. % 1.14/1.36 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H11 | zenon_intro zenon_H41 ]. % 1.14/1.36 apply (zenon_L12_); trivial. % 1.14/1.36 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H1a. zenon_intro zenon_H44. % 1.14/1.36 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H1d. zenon_intro zenon_H45. % 1.14/1.36 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H1e. zenon_intro zenon_H1f. % 1.14/1.36 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1be ]. % 1.14/1.36 apply (zenon_L379_); trivial. % 1.14/1.36 apply (zenon_L528_); trivial. % 1.14/1.36 apply (zenon_L119_); trivial. % 1.14/1.36 apply (zenon_L531_); trivial. % 1.14/1.36 apply (zenon_L159_); trivial. % 1.14/1.36 apply (zenon_L536_); trivial. % 1.14/1.36 apply (zenon_L545_); trivial. % 1.14/1.36 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H1a. zenon_intro zenon_H218. % 1.14/1.36 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_He0. zenon_intro zenon_H219. % 1.14/1.36 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_Hc2. zenon_intro zenon_Hc1. % 1.14/1.36 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H91 | zenon_intro zenon_He5 ]. % 1.14/1.36 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H5 | zenon_intro zenon_H284 ]. % 1.14/1.36 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_H100 | zenon_intro zenon_H10d ]. % 1.14/1.36 apply (zenon_L494_); trivial. % 1.14/1.36 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_H1a. zenon_intro zenon_H10f. % 1.14/1.36 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H104. zenon_intro zenon_H110. % 1.14/1.36 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_H102. zenon_intro zenon_H103. % 1.14/1.36 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H146 | zenon_intro zenon_H19f ]. % 1.14/1.36 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.14/1.36 apply (zenon_L94_); trivial. % 1.14/1.36 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.14/1.36 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.14/1.36 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.14/1.36 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.14/1.36 apply (zenon_L547_); trivial. % 1.14/1.36 apply (zenon_L153_); trivial. % 1.14/1.36 apply (zenon_L548_); trivial. % 1.14/1.36 apply (zenon_L536_); trivial. % 1.14/1.36 apply (zenon_L545_); trivial. % 1.14/1.36 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_H1a. zenon_intro zenon_H21a. % 1.14/1.36 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_Heb. zenon_intro zenon_H21b. % 1.14/1.36 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_He9. zenon_intro zenon_Hea. % 1.14/1.36 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H2d | zenon_intro zenon_H217 ]. % 1.14/1.36 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H91 | zenon_intro zenon_He5 ]. % 1.14/1.36 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H5 | zenon_intro zenon_H284 ]. % 1.14/1.36 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_H100 | zenon_intro zenon_H10d ]. % 1.14/1.36 apply (zenon_L494_); trivial. % 1.14/1.36 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_H1a. zenon_intro zenon_H10f. % 1.14/1.36 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H104. zenon_intro zenon_H110. % 1.14/1.36 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_H102. zenon_intro zenon_H103. % 1.14/1.36 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H146 | zenon_intro zenon_H19f ]. % 1.14/1.36 apply (zenon_or_s _ _ zenon_H20a); [ zenon_intro zenon_H1fd | zenon_intro zenon_H20b ]. % 1.14/1.36 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.14/1.36 apply (zenon_L94_); trivial. % 1.14/1.36 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.14/1.36 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.14/1.36 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.14/1.36 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.14/1.36 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H13 | zenon_intro zenon_Ha1 ]. % 1.14/1.36 apply (zenon_L99_); trivial. % 1.14/1.36 apply (zenon_L546_); trivial. % 1.14/1.36 apply (zenon_L550_); trivial. % 1.14/1.36 apply (zenon_L502_); trivial. % 1.14/1.36 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H1a. zenon_intro zenon_H1a0. % 1.14/1.36 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H18f. zenon_intro zenon_H1a1. % 1.14/1.36 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H19a. zenon_intro zenon_H18e. % 1.14/1.36 apply (zenon_or_s _ _ zenon_H20a); [ zenon_intro zenon_H1fd | zenon_intro zenon_H20b ]. % 1.14/1.36 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.14/1.36 apply (zenon_L8_); trivial. % 1.14/1.36 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.14/1.36 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.14/1.36 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.14/1.36 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.14/1.36 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H13 | zenon_intro zenon_Ha1 ]. % 1.14/1.36 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H11 | zenon_intro zenon_H41 ]. % 1.14/1.36 apply (zenon_L12_); trivial. % 1.14/1.36 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H1a. zenon_intro zenon_H44. % 1.14/1.36 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H1d. zenon_intro zenon_H45. % 1.14/1.36 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H1e. zenon_intro zenon_H1f. % 1.14/1.36 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1be ]. % 1.14/1.36 apply (zenon_L195_); trivial. % 1.14/1.36 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H1a. zenon_intro zenon_H1bf. % 1.14/1.36 apply (zenon_and_s _ _ zenon_H1bf). zenon_intro zenon_H1b5. zenon_intro zenon_H1c0. % 1.14/1.36 apply (zenon_and_s _ _ zenon_H1c0). zenon_intro zenon_H1b6. zenon_intro zenon_H1b7. % 1.14/1.36 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H65 | zenon_intro zenon_H1e1 ]. % 1.14/1.36 apply (zenon_L69_); trivial. % 1.14/1.36 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H3b | zenon_intro zenon_Hf3 ]. % 1.14/1.36 apply (zenon_L527_); trivial. % 1.14/1.36 apply (zenon_L551_); trivial. % 1.14/1.36 apply (zenon_L546_); trivial. % 1.14/1.36 apply (zenon_L550_); trivial. % 1.14/1.36 apply (zenon_L553_); trivial. % 1.14/1.36 apply (zenon_L536_); trivial. % 1.14/1.36 apply (zenon_L545_); trivial. % 1.14/1.36 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H1a. zenon_intro zenon_H218. % 1.14/1.36 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_He0. zenon_intro zenon_H219. % 1.14/1.36 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_Hc2. zenon_intro zenon_Hc1. % 1.14/1.36 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H91 | zenon_intro zenon_He5 ]. % 1.14/1.36 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H5 | zenon_intro zenon_H284 ]. % 1.14/1.36 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_H100 | zenon_intro zenon_H10d ]. % 1.14/1.36 apply (zenon_L494_); trivial. % 1.14/1.36 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_H1a. zenon_intro zenon_H10f. % 1.14/1.36 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H104. zenon_intro zenon_H110. % 1.14/1.36 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_H102. zenon_intro zenon_H103. % 1.14/1.36 apply (zenon_or_s _ _ zenon_H20a); [ zenon_intro zenon_H1fd | zenon_intro zenon_H20b ]. % 1.14/1.36 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.14/1.36 apply (zenon_L8_); trivial. % 1.14/1.36 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.14/1.36 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.14/1.36 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.14/1.36 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.14/1.36 apply (zenon_L547_); trivial. % 1.14/1.36 apply (zenon_L550_); trivial. % 1.14/1.36 apply (zenon_L555_); trivial. % 1.14/1.36 apply (zenon_L536_); trivial. % 1.14/1.36 apply (zenon_L545_); trivial. % 1.14/1.36 apply (zenon_and_s _ _ zenon_H20e). zenon_intro zenon_H1a. zenon_intro zenon_H20f. % 1.14/1.36 apply (zenon_and_s _ _ zenon_H20f). zenon_intro zenon_H117. zenon_intro zenon_H210. % 1.14/1.36 apply (zenon_and_s _ _ zenon_H210). zenon_intro zenon_H115. zenon_intro zenon_H116. % 1.14/1.36 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H3 | zenon_intro zenon_H216 ]. % 1.14/1.36 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H2d | zenon_intro zenon_H217 ]. % 1.14/1.36 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H91 | zenon_intro zenon_He5 ]. % 1.14/1.36 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H5 | zenon_intro zenon_H284 ]. % 1.14/1.36 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_H100 | zenon_intro zenon_H10d ]. % 1.14/1.36 apply (zenon_L74_); trivial. % 1.14/1.36 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_H1a. zenon_intro zenon_H10f. % 1.14/1.36 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H104. zenon_intro zenon_H110. % 1.14/1.36 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_H102. zenon_intro zenon_H103. % 1.14/1.36 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H146 | zenon_intro zenon_H19f ]. % 1.14/1.36 apply (zenon_L526_); trivial. % 1.14/1.36 apply (zenon_L561_); trivial. % 1.14/1.36 apply (zenon_L562_); trivial. % 1.14/1.36 apply (zenon_L569_); trivial. % 1.14/1.36 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H1a. zenon_intro zenon_H218. % 1.14/1.36 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_He0. zenon_intro zenon_H219. % 1.14/1.36 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_Hc2. zenon_intro zenon_Hc1. % 1.14/1.36 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H5 | zenon_intro zenon_H284 ]. % 1.14/1.36 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_H100 | zenon_intro zenon_H10d ]. % 1.14/1.36 apply (zenon_L74_); trivial. % 1.14/1.36 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_H1a. zenon_intro zenon_H10f. % 1.14/1.36 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H104. zenon_intro zenon_H110. % 1.14/1.36 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_H102. zenon_intro zenon_H103. % 1.14/1.36 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.14/1.36 apply (zenon_L558_); trivial. % 1.14/1.36 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.14/1.36 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.14/1.36 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.14/1.36 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.14/1.36 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1be ]. % 1.14/1.36 apply (zenon_L197_); trivial. % 1.14/1.36 apply (zenon_L559_); trivial. % 1.14/1.36 apply (zenon_L531_); trivial. % 1.14/1.36 apply (zenon_L562_); trivial. % 1.14/1.36 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_H1a. zenon_intro zenon_H21a. % 1.14/1.36 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_Heb. zenon_intro zenon_H21b. % 1.14/1.36 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_He9. zenon_intro zenon_Hea. % 1.14/1.36 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H2d | zenon_intro zenon_H217 ]. % 1.14/1.36 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H5 | zenon_intro zenon_H284 ]. % 1.14/1.36 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_H100 | zenon_intro zenon_H10d ]. % 1.14/1.36 apply (zenon_L74_); trivial. % 1.14/1.36 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_H1a. zenon_intro zenon_H10f. % 1.14/1.36 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H104. zenon_intro zenon_H110. % 1.14/1.36 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_H102. zenon_intro zenon_H103. % 1.14/1.36 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H146 | zenon_intro zenon_H19f ]. % 1.14/1.36 apply (zenon_or_s _ _ zenon_H20a); [ zenon_intro zenon_H1fd | zenon_intro zenon_H20b ]. % 1.14/1.36 apply (zenon_L571_); trivial. % 1.14/1.36 apply (zenon_L573_); trivial. % 1.14/1.36 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H1a. zenon_intro zenon_H1a0. % 1.14/1.36 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H18f. zenon_intro zenon_H1a1. % 1.14/1.36 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H19a. zenon_intro zenon_H18e. % 1.14/1.36 apply (zenon_or_s _ _ zenon_H20a); [ zenon_intro zenon_H1fd | zenon_intro zenon_H20b ]. % 1.14/1.36 apply (zenon_L571_); trivial. % 1.14/1.36 apply (zenon_and_s _ _ zenon_H20b). zenon_intro zenon_H1a. zenon_intro zenon_H20c. % 1.14/1.36 apply (zenon_and_s _ _ zenon_H20c). zenon_intro zenon_H203. zenon_intro zenon_H20d. % 1.14/1.36 apply (zenon_and_s _ _ zenon_H20d). zenon_intro zenon_H201. zenon_intro zenon_H202. % 1.14/1.36 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.14/1.36 apply (zenon_L558_); trivial. % 1.14/1.36 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.14/1.36 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.14/1.36 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.14/1.36 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.14/1.36 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1be ]. % 1.14/1.36 apply (zenon_L574_); trivial. % 1.14/1.36 apply (zenon_L559_); trivial. % 1.14/1.36 apply (zenon_L575_); trivial. % 1.14/1.36 apply (zenon_L562_); trivial. % 1.14/1.36 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H1a. zenon_intro zenon_H218. % 1.14/1.36 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_He0. zenon_intro zenon_H219. % 1.14/1.36 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_Hc2. zenon_intro zenon_Hc1. % 1.14/1.36 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H5 | zenon_intro zenon_H284 ]. % 1.14/1.36 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_H100 | zenon_intro zenon_H10d ]. % 1.14/1.36 apply (zenon_L74_); trivial. % 1.14/1.36 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_H1a. zenon_intro zenon_H10f. % 1.14/1.36 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H104. zenon_intro zenon_H110. % 1.14/1.36 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_H102. zenon_intro zenon_H103. % 1.14/1.36 apply (zenon_or_s _ _ zenon_H20a); [ zenon_intro zenon_H1fd | zenon_intro zenon_H20b ]. % 1.14/1.36 apply (zenon_L571_); trivial. % 1.14/1.36 apply (zenon_L580_); trivial. % 1.14/1.36 apply (zenon_L562_); trivial. % 1.14/1.36 (* end of lemma zenon_L581_ *) % 1.14/1.36 assert (zenon_L582_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(hskp1)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> (~(c0_1 (a24))) -> (~(c1_1 (a24))) -> (c2_1 (a24)) -> (~(c0_1 (a22))) -> (~(c3_1 (a22))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(c3_1 X17))))))) -> (~(c3_1 (a5))) -> (~(c2_1 (a5))) -> (~(c1_1 (a5))) -> (~(c2_1 (a22))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (~(hskp23)) -> (~(hskp0)) -> ((hskp24)\/((hskp23)\/(hskp0))) -> False). % 1.14/1.36 do 0 intro. intros zenon_H48 zenon_H177 zenon_Hd3 zenon_Hde zenon_H162 zenon_H102 zenon_H103 zenon_H104 zenon_H80 zenon_H81 zenon_H2a1 zenon_H29c zenon_H289 zenon_H288 zenon_H89 zenon_H95 zenon_H13 zenon_H15 zenon_H17. % 1.14/1.36 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H11 | zenon_intro zenon_H41 ]. % 1.14/1.36 apply (zenon_L12_); trivial. % 1.14/1.36 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H1a. zenon_intro zenon_H44. % 1.14/1.36 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H1d. zenon_intro zenon_H45. % 1.14/1.36 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H1e. zenon_intro zenon_H1f. % 1.14/1.36 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hd6 ]. % 1.14/1.36 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H65 | zenon_intro zenon_H96 ]. % 1.14/1.36 apply (zenon_L69_); trivial. % 1.14/1.36 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H7f | zenon_intro zenon_H31 ]. % 1.14/1.36 apply (zenon_L233_); trivial. % 1.14/1.36 apply (zenon_L533_); trivial. % 1.14/1.36 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H165 ]. % 1.14/1.36 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H65 | zenon_intro zenon_H96 ]. % 1.14/1.36 apply (zenon_L69_); trivial. % 1.14/1.36 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H7f | zenon_intro zenon_H31 ]. % 1.14/1.36 apply (zenon_L233_); trivial. % 1.14/1.36 apply (zenon_L294_); trivial. % 1.14/1.36 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H31 | zenon_intro zenon_Hdf ]. % 1.14/1.36 apply (zenon_L294_); trivial. % 1.14/1.36 exact (zenon_Hde zenon_Hdf). % 1.14/1.36 (* end of lemma zenon_L582_ *) % 1.14/1.36 assert (zenon_L583_ : ((ndr1_0)/\((~(c0_1 (a22)))/\((~(c2_1 (a22)))/\(~(c3_1 (a22)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a24))/\((~(c0_1 (a24)))/\(~(c1_1 (a24))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> (~(hskp4)) -> ((hskp24)\/((hskp23)\/(hskp0))) -> (~(hskp0)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (~(c1_1 (a5))) -> (~(c2_1 (a5))) -> (~(c3_1 (a5))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(c3_1 X17))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (c0_1 (a15)) -> (~(hskp2)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((hskp2)\/(hskp14))) -> False). % 1.14/1.36 do 0 intro. intros zenon_H284 zenon_H112 zenon_H9d zenon_H1a9 zenon_Hd zenon_H17 zenon_H15 zenon_H95 zenon_H288 zenon_H289 zenon_H29c zenon_H2a1 zenon_H162 zenon_Hde zenon_Hd3 zenon_H177 zenon_H48 zenon_H115 zenon_H116 zenon_H117 zenon_Hfe zenon_H113. % 1.14/1.36 apply (zenon_and_s _ _ zenon_H284). zenon_intro zenon_H1a. zenon_intro zenon_H285. % 1.14/1.36 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_H80. zenon_intro zenon_H286. % 1.14/1.36 apply (zenon_and_s _ _ zenon_H286). zenon_intro zenon_H89. zenon_intro zenon_H81. % 1.14/1.36 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_H100 | zenon_intro zenon_H10d ]. % 1.14/1.36 apply (zenon_L74_); trivial. % 1.14/1.36 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_H1a. zenon_intro zenon_H10f. % 1.14/1.36 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H104. zenon_intro zenon_H110. % 1.14/1.36 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_H102. zenon_intro zenon_H103. % 1.14/1.36 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H13 | zenon_intro zenon_Ha1 ]. % 1.14/1.36 apply (zenon_L582_); trivial. % 1.14/1.36 apply (zenon_L511_); trivial. % 1.14/1.36 (* end of lemma zenon_L583_ *) % 1.14/1.36 assert (zenon_L584_ : (forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48)))))) -> (ndr1_0) -> (~(c2_1 (a15))) -> (forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42)))))) -> (~(c1_1 (a15))) -> (c0_1 (a15)) -> False). % 1.14/1.36 do 0 intro. intros zenon_He8 zenon_H1a zenon_H116 zenon_H132 zenon_H115 zenon_H117. % 1.14/1.36 generalize (zenon_He8 (a15)). zenon_intro zenon_H2a9. % 1.14/1.36 apply (zenon_imply_s _ _ zenon_H2a9); [ zenon_intro zenon_H19 | zenon_intro zenon_H2aa ]. % 1.14/1.36 exact (zenon_H19 zenon_H1a). % 1.14/1.36 apply (zenon_or_s _ _ zenon_H2aa); [ zenon_intro zenon_H11d | zenon_intro zenon_H2ab ]. % 1.14/1.36 exact (zenon_H116 zenon_H11d). % 1.14/1.36 apply (zenon_or_s _ _ zenon_H2ab); [ zenon_intro zenon_H2ac | zenon_intro zenon_H11c ]. % 1.14/1.36 generalize (zenon_H132 (a15)). zenon_intro zenon_H2ad. % 1.14/1.36 apply (zenon_imply_s _ _ zenon_H2ad); [ zenon_intro zenon_H19 | zenon_intro zenon_H2ae ]. % 1.14/1.36 exact (zenon_H19 zenon_H1a). % 1.14/1.36 apply (zenon_or_s _ _ zenon_H2ae); [ zenon_intro zenon_H11b | zenon_intro zenon_H2af ]. % 1.14/1.36 exact (zenon_H115 zenon_H11b). % 1.14/1.36 apply (zenon_or_s _ _ zenon_H2af); [ zenon_intro zenon_H11d | zenon_intro zenon_H2b0 ]. % 1.14/1.36 exact (zenon_H116 zenon_H11d). % 1.14/1.36 exact (zenon_H2b0 zenon_H2ac). % 1.14/1.36 exact (zenon_H11c zenon_H117). % 1.14/1.36 (* end of lemma zenon_L584_ *) % 1.14/1.36 assert (zenon_L585_ : ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> (c1_1 (a8)) -> (c0_1 (a8)) -> (~(c2_1 (a8))) -> (ndr1_0) -> (forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11)))))) -> (~(hskp17)) -> (~(hskp18)) -> False). % 1.14/1.36 do 0 intro. intros zenon_H12a zenon_H220 zenon_H228 zenon_H21f zenon_H1a zenon_Hf3 zenon_H9 zenon_H128. % 1.14/1.36 apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_H11e | zenon_intro zenon_H12b ]. % 1.14/1.36 apply (zenon_L232_); trivial. % 1.14/1.36 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_Ha | zenon_intro zenon_H129 ]. % 1.14/1.36 exact (zenon_H9 zenon_Ha). % 1.14/1.36 exact (zenon_H128 zenon_H129). % 1.14/1.36 (* end of lemma zenon_L585_ *) % 1.14/1.36 assert (zenon_L586_ : ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c0_1 (a15)) -> (~(c1_1 (a15))) -> (forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42)))))) -> (~(c2_1 (a15))) -> (~(hskp18)) -> (~(hskp17)) -> (~(c2_1 (a8))) -> (c0_1 (a8)) -> (c1_1 (a8)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> (ndr1_0) -> (c0_1 (a10)) -> (c2_1 (a10)) -> (c3_1 (a10)) -> False). % 1.14/1.36 do 0 intro. intros zenon_Hfc zenon_H117 zenon_H115 zenon_H132 zenon_H116 zenon_H128 zenon_H9 zenon_H21f zenon_H228 zenon_H220 zenon_H12a zenon_H1a zenon_H1b5 zenon_H1b6 zenon_H1b7. % 1.14/1.36 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfd ]. % 1.14/1.36 apply (zenon_L584_); trivial. % 1.14/1.36 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hf3 | zenon_intro zenon_Hcd ]. % 1.14/1.36 apply (zenon_L585_); trivial. % 1.14/1.36 apply (zenon_L133_); trivial. % 1.14/1.36 (* end of lemma zenon_L586_ *) % 1.14/1.36 assert (zenon_L587_ : ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c1_1 (a8)) -> (c0_1 (a8)) -> (forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43)))))) -> (~(c2_1 (a8))) -> (ndr1_0) -> (c0_1 (a10)) -> (c2_1 (a10)) -> (c3_1 (a10)) -> False). % 1.14/1.36 do 0 intro. intros zenon_Hfc zenon_H220 zenon_H228 zenon_H11e zenon_H21f zenon_H1a zenon_H1b5 zenon_H1b6 zenon_H1b7. % 1.14/1.36 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfd ]. % 1.14/1.36 apply (zenon_L231_); trivial. % 1.14/1.36 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hf3 | zenon_intro zenon_Hcd ]. % 1.14/1.36 apply (zenon_L232_); trivial. % 1.14/1.36 apply (zenon_L133_); trivial. % 1.14/1.36 (* end of lemma zenon_L587_ *) % 1.14/1.36 assert (zenon_L588_ : ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> (~(hskp4)) -> ((hskp24)\/((hskp23)\/(hskp0))) -> (~(hskp0)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> (~(hskp1)) -> (~(c1_1 (a24))) -> (c2_1 (a24)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((hskp26)\/(hskp16))) -> (~(hskp16)) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (~(c2_1 (a16))) -> (ndr1_0) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(c2_1 (a8))) -> (c0_1 (a8)) -> (c1_1 (a8)) -> (~(hskp17)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> (c0_1 (a15)) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(hskp15)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> False). % 1.14/1.36 do 0 intro. intros zenon_H17a zenon_H9d zenon_H1a9 zenon_Hd zenon_H17 zenon_H15 zenon_H162 zenon_Hde zenon_H103 zenon_H104 zenon_Hd3 zenon_H177 zenon_H48 zenon_H1ff zenon_H1fd zenon_Heb zenon_Hea zenon_He9 zenon_H1a zenon_Hfc zenon_H21f zenon_H228 zenon_H220 zenon_H9 zenon_H12a zenon_H117 zenon_H115 zenon_H116 zenon_H146 zenon_H149 zenon_H1c1. % 1.14/1.36 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H128 | zenon_intro zenon_H17c ]. % 1.14/1.36 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1be ]. % 1.14/1.36 apply (zenon_L195_); trivial. % 1.14/1.36 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H1a. zenon_intro zenon_H1bf. % 1.14/1.36 apply (zenon_and_s _ _ zenon_H1bf). zenon_intro zenon_H1b5. zenon_intro zenon_H1c0. % 1.14/1.36 apply (zenon_and_s _ _ zenon_H1c0). zenon_intro zenon_H1b6. zenon_intro zenon_H1b7. % 1.14/1.36 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H132 | zenon_intro zenon_H14d ]. % 1.14/1.36 apply (zenon_L586_); trivial. % 1.14/1.36 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H11e | zenon_intro zenon_H147 ]. % 1.14/1.36 apply (zenon_L587_); trivial. % 1.14/1.36 exact (zenon_H146 zenon_H147). % 1.14/1.36 apply (zenon_L557_); trivial. % 1.14/1.36 (* end of lemma zenon_L588_ *) % 1.14/1.36 assert (zenon_L589_ : ((ndr1_0)/\((c1_1 (a30))/\((~(c0_1 (a30)))/\(~(c2_1 (a30)))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> (~(hskp4)) -> (c0_1 (a15)) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> ((hskp24)\/((hskp23)\/(hskp0))) -> (~(hskp0)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (~(hskp10)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (c2_1 (a24)) -> (~(c1_1 (a24))) -> (~(c0_1 (a24))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> False). % 1.14/1.36 do 0 intro. intros zenon_H20b zenon_H9d zenon_H1a9 zenon_Hd zenon_H117 zenon_H116 zenon_H115 zenon_H17 zenon_H15 zenon_H95 zenon_H2d zenon_H43 zenon_H104 zenon_H103 zenon_H102 zenon_H162 zenon_Hde zenon_Hd3 zenon_H177 zenon_H48. % 1.14/1.36 apply (zenon_and_s _ _ zenon_H20b). zenon_intro zenon_H1a. zenon_intro zenon_H20c. % 1.14/1.36 apply (zenon_and_s _ _ zenon_H20c). zenon_intro zenon_H203. zenon_intro zenon_H20d. % 1.14/1.36 apply (zenon_and_s _ _ zenon_H20d). zenon_intro zenon_H201. zenon_intro zenon_H202. % 1.14/1.36 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H13 | zenon_intro zenon_Ha1 ]. % 1.14/1.36 apply (zenon_L500_); trivial. % 1.14/1.36 apply (zenon_L511_); trivial. % 1.14/1.36 (* end of lemma zenon_L589_ *) % 1.14/1.36 assert (zenon_L590_ : ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(hskp19)) -> (forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36)))))) -> (c2_1 (a3)) -> (c3_1 (a3)) -> (c1_1 (a3)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp18)) -> (~(hskp17)) -> (~(c2_1 (a8))) -> (c0_1 (a8)) -> (c1_1 (a8)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> (ndr1_0) -> (c0_1 (a10)) -> (c2_1 (a10)) -> (c3_1 (a10)) -> False). % 1.14/1.36 do 0 intro. intros zenon_Hfc zenon_H144 zenon_H49 zenon_H1e zenon_H1f zenon_H1d zenon_H14a zenon_H128 zenon_H9 zenon_H21f zenon_H228 zenon_H220 zenon_H12a zenon_H1a zenon_H1b5 zenon_H1b6 zenon_H1b7. % 1.14/1.36 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfd ]. % 1.14/1.36 apply (zenon_L235_); trivial. % 1.14/1.36 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hf3 | zenon_intro zenon_Hcd ]. % 1.14/1.36 apply (zenon_L585_); trivial. % 1.14/1.36 apply (zenon_L133_); trivial. % 1.14/1.36 (* end of lemma zenon_L590_ *) % 1.14/1.36 assert (zenon_L591_ : ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c0_1 (a8)) -> (c1_1 (a8)) -> (~(c2_1 (a8))) -> (forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48)))))) -> (c3_1 (a10)) -> (c2_1 (a10)) -> (c0_1 (a10)) -> (ndr1_0) -> (forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40)))))) -> (~(hskp19)) -> False). % 1.14/1.36 do 0 intro. intros zenon_H14a zenon_H228 zenon_H220 zenon_H21f zenon_He8 zenon_H1b7 zenon_H1b6 zenon_H1b5 zenon_H1a zenon_H243 zenon_H144. % 1.14/1.36 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_H6d | zenon_intro zenon_H14e ]. % 1.14/1.36 apply (zenon_L223_); trivial. % 1.14/1.36 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H1c | zenon_intro zenon_H145 ]. % 1.14/1.36 apply (zenon_L364_); trivial. % 1.14/1.36 exact (zenon_H144 zenon_H145). % 1.14/1.36 (* end of lemma zenon_L591_ *) % 1.14/1.36 assert (zenon_L592_ : ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(hskp19)) -> (forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40)))))) -> (~(c2_1 (a8))) -> (c1_1 (a8)) -> (c0_1 (a8)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c1_1 (a25)) -> (c0_1 (a25)) -> (~(c3_1 (a25))) -> (forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37)))))) -> (ndr1_0) -> (c0_1 (a10)) -> (c2_1 (a10)) -> (c3_1 (a10)) -> False). % 1.14/1.36 do 0 intro. intros zenon_Hfc zenon_H144 zenon_H243 zenon_H21f zenon_H220 zenon_H228 zenon_H14a zenon_H19a zenon_H18f zenon_H18e zenon_H8e zenon_H1a zenon_H1b5 zenon_H1b6 zenon_H1b7. % 1.14/1.36 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfd ]. % 1.14/1.36 apply (zenon_L591_); trivial. % 1.14/1.36 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hf3 | zenon_intro zenon_Hcd ]. % 1.14/1.36 apply (zenon_L114_); trivial. % 1.14/1.36 apply (zenon_L133_); trivial. % 1.14/1.36 (* end of lemma zenon_L592_ *) % 1.14/1.36 assert (zenon_L593_ : ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> (~(hskp26)) -> (~(hskp27)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (c3_1 (a33)) -> (c2_1 (a33)) -> (~(c0_1 (a33))) -> (~(hskp10)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp27)\/(hskp26))) -> (c0_1 (a15)) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> (ndr1_0) -> (~(hskp4)) -> False). % 1.14/1.36 do 0 intro. intros zenon_H1a9 zenon_H1b3 zenon_H59 zenon_H43 zenon_H171 zenon_H16a zenon_H168 zenon_H2d zenon_H1f2 zenon_H117 zenon_H116 zenon_H115 zenon_H1a zenon_Hd. % 1.14/1.36 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H1aa ]. % 1.14/1.36 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H1f3 ]. % 1.14/1.36 apply (zenon_L565_); trivial. % 1.14/1.36 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H5a | zenon_intro zenon_H1b4 ]. % 1.14/1.36 exact (zenon_H59 zenon_H5a). % 1.14/1.36 exact (zenon_H1b3 zenon_H1b4). % 1.14/1.36 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_Hf2 | zenon_intro zenon_He ]. % 1.14/1.36 apply (zenon_L73_); trivial. % 1.14/1.36 exact (zenon_Hd zenon_He). % 1.14/1.36 (* end of lemma zenon_L593_ *) % 1.14/1.36 assert (zenon_L594_ : ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (c3_1 (a33)) -> (forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13)))))) -> (~(c0_1 (a33))) -> (c2_1 (a24)) -> (~(c1_1 (a24))) -> (~(c0_1 (a24))) -> (ndr1_0) -> (forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z))))) -> (~(hskp10)) -> False). % 1.14/1.36 do 0 intro. intros zenon_H43 zenon_H171 zenon_H1a5 zenon_H168 zenon_H104 zenon_H103 zenon_H102 zenon_H1a zenon_Hb8 zenon_H2d. % 1.14/1.36 apply (zenon_or_s _ _ zenon_H43); [ zenon_intro zenon_H1b | zenon_intro zenon_H47 ]. % 1.14/1.36 apply (zenon_L564_); trivial. % 1.14/1.36 apply (zenon_or_s _ _ zenon_H47); [ zenon_intro zenon_H31 | zenon_intro zenon_H2e ]. % 1.14/1.36 apply (zenon_L291_); trivial. % 1.14/1.36 exact (zenon_H2d zenon_H2e). % 1.14/1.36 (* end of lemma zenon_L594_ *) % 1.14/1.36 assert (zenon_L595_ : ((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> (~(hskp4)) -> (c0_1 (a15)) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp27)\/(hskp26))) -> (~(c2_1 (a16))) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> (~(hskp18)) -> (~(hskp17)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(c0_1 (a24))) -> (~(c1_1 (a24))) -> (c2_1 (a24)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a11))/\((c1_1 (a11))/\(c3_1 (a11)))))) -> False). % 1.14/1.36 do 0 intro. intros zenon_H176 zenon_H1c1 zenon_H1a9 zenon_Hd zenon_H117 zenon_H116 zenon_H115 zenon_H43 zenon_H2d zenon_H1f2 zenon_He9 zenon_Hea zenon_Heb zenon_H12a zenon_H128 zenon_H9 zenon_Hfc zenon_H102 zenon_H103 zenon_H104 zenon_H177 zenon_H97. % 1.14/1.36 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1a. zenon_intro zenon_H178. % 1.14/1.36 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H16a. zenon_intro zenon_H179. % 1.14/1.36 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H171. zenon_intro zenon_H168. % 1.14/1.36 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1be ]. % 1.14/1.36 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H98 ]. % 1.22/1.37 apply (zenon_L593_); trivial. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H98). zenon_intro zenon_H1a. zenon_intro zenon_H99. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H99). zenon_intro zenon_H9b. zenon_intro zenon_H9a. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H9a). zenon_intro zenon_H6f. zenon_intro zenon_H70. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hd6 ]. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H1aa ]. % 1.22/1.37 apply (zenon_L594_); trivial. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_Hf2 | zenon_intro zenon_He ]. % 1.22/1.37 apply (zenon_L354_); trivial. % 1.22/1.37 exact (zenon_Hd zenon_He). % 1.22/1.37 apply (zenon_L566_); trivial. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H1a. zenon_intro zenon_H1bf. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H1bf). zenon_intro zenon_H1b5. zenon_intro zenon_H1c0. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H1c0). zenon_intro zenon_H1b6. zenon_intro zenon_H1b7. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hd6 ]. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H1aa ]. % 1.22/1.37 apply (zenon_L594_); trivial. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_Hf2 | zenon_intro zenon_He ]. % 1.22/1.37 apply (zenon_L173_); trivial. % 1.22/1.37 exact (zenon_Hd zenon_He). % 1.22/1.37 apply (zenon_L566_); trivial. % 1.22/1.37 (* end of lemma zenon_L595_ *) % 1.22/1.37 assert (zenon_L596_ : ((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(~(c3_1 (a25)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a30))/\((~(c0_1 (a30)))/\(~(c2_1 (a30))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> (~(hskp4)) -> ((hskp24)\/((hskp23)\/(hskp0))) -> (~(hskp0)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((hskp26)\/(hskp16))) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (~(c2_1 (a16))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> (~(c2_1 (a8))) -> (c1_1 (a8)) -> (c0_1 (a8)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/(hskp13))) -> (~(hskp13)) -> (c0_1 (a15)) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> (~(hskp11)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a11))/\((c1_1 (a11))/\(c3_1 (a11)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> (c2_1 (a24)) -> (~(c1_1 (a24))) -> (~(c0_1 (a24))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp27)\/(hskp26))) -> (~(hskp10)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> False). % 1.22/1.37 do 0 intro. intros zenon_H19f zenon_H20a zenon_H95 zenon_H17a zenon_H162 zenon_Hde zenon_Hd3 zenon_H9d zenon_H1a9 zenon_Hd zenon_H17 zenon_H15 zenon_H1ff zenon_Heb zenon_Hea zenon_He9 zenon_Hfc zenon_H12a zenon_H21f zenon_H220 zenon_H228 zenon_H14a zenon_H247 zenon_H5 zenon_H117 zenon_H116 zenon_H115 zenon_H91 zenon_H93 zenon_H1c1 zenon_H48 zenon_H97 zenon_H177 zenon_H104 zenon_H103 zenon_H102 zenon_H1f2 zenon_H2d zenon_H43 zenon_H17b zenon_H9c. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H1a. zenon_intro zenon_H1a0. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H18f. zenon_intro zenon_H1a1. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H19a. zenon_intro zenon_H18e. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H20a); [ zenon_intro zenon_H1fd | zenon_intro zenon_H20b ]. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H128 | zenon_intro zenon_H17c ]. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H13 | zenon_intro zenon_Ha1 ]. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H11 | zenon_intro zenon_H41 ]. % 1.22/1.37 apply (zenon_L12_); trivial. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H1a. zenon_intro zenon_H44. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H1d. zenon_intro zenon_H45. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H1e. zenon_intro zenon_H1f. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1be ]. % 1.22/1.37 apply (zenon_L195_); trivial. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H1a. zenon_intro zenon_H1bf. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H1bf). zenon_intro zenon_H1b5. zenon_intro zenon_H1c0. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H1c0). zenon_intro zenon_H1b6. zenon_intro zenon_H1b7. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H49 | zenon_intro zenon_H94 ]. % 1.22/1.37 apply (zenon_L590_); trivial. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H8e | zenon_intro zenon_H92 ]. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H247); [ zenon_intro zenon_Hf2 | zenon_intro zenon_H248 ]. % 1.22/1.37 apply (zenon_L73_); trivial. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H248); [ zenon_intro zenon_H243 | zenon_intro zenon_H6 ]. % 1.22/1.37 apply (zenon_L592_); trivial. % 1.22/1.37 exact (zenon_H5 zenon_H6). % 1.22/1.37 exact (zenon_H91 zenon_H92). % 1.22/1.37 apply (zenon_L511_); trivial. % 1.22/1.37 apply (zenon_L595_); trivial. % 1.22/1.37 apply (zenon_L557_); trivial. % 1.22/1.37 apply (zenon_L570_); trivial. % 1.22/1.37 apply (zenon_L589_); trivial. % 1.22/1.37 (* end of lemma zenon_L596_ *) % 1.22/1.37 assert (zenon_L597_ : ((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37)))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> (~(hskp4)) -> (c0_1 (a15)) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> ((hskp24)\/((hskp23)\/(hskp0))) -> (~(hskp0)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (c2_1 (a24)) -> (~(c1_1 (a24))) -> (~(c0_1 (a24))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> False). % 1.22/1.37 do 0 intro. intros zenon_H1d7 zenon_H9d zenon_H1a9 zenon_Hd zenon_H117 zenon_H116 zenon_H115 zenon_H17 zenon_H15 zenon_H95 zenon_H104 zenon_H103 zenon_H102 zenon_H162 zenon_Hde zenon_Hd3 zenon_H177 zenon_H48. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H1a. zenon_intro zenon_H1d8. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1d0. zenon_intro zenon_H1d9. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1ce. zenon_intro zenon_H1cf. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H13 | zenon_intro zenon_Ha1 ]. % 1.22/1.37 apply (zenon_L530_); trivial. % 1.22/1.37 apply (zenon_L511_); trivial. % 1.22/1.37 (* end of lemma zenon_L597_ *) % 1.22/1.37 assert (zenon_L598_ : ((ndr1_0)/\((c1_1 (a30))/\((~(c0_1 (a30)))/\(~(c2_1 (a30)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> (~(hskp4)) -> (c0_1 (a15)) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> ((hskp24)\/((hskp23)\/(hskp0))) -> (~(hskp0)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (c2_1 (a24)) -> (~(c1_1 (a24))) -> (~(c0_1 (a24))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> (~(hskp1)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> (c2_1 (a18)) -> (c0_1 (a18)) -> (~(c3_1 (a18))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(hskp5)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp5))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> False). % 1.22/1.37 do 0 intro. intros zenon_H20b zenon_H1da zenon_H9d zenon_H1a9 zenon_Hd zenon_H117 zenon_H116 zenon_H115 zenon_H17 zenon_H15 zenon_H95 zenon_H104 zenon_H103 zenon_H102 zenon_H162 zenon_Hde zenon_H177 zenon_H48 zenon_H1c6 zenon_Hc2 zenon_He0 zenon_Hc1 zenon_Hd3 zenon_Hd4 zenon_Hdc zenon_H1c1. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H20b). zenon_intro zenon_H1a. zenon_intro zenon_H20c. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H20c). zenon_intro zenon_H203. zenon_intro zenon_H20d. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H20d). zenon_intro zenon_H201. zenon_intro zenon_H202. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.22/1.37 apply (zenon_L201_); trivial. % 1.22/1.37 apply (zenon_L597_); trivial. % 1.22/1.37 (* end of lemma zenon_L598_ *) % 1.22/1.37 assert (zenon_L599_ : ((ndr1_0)/\((c2_1 (a24))/\((~(c0_1 (a24)))/\(~(c1_1 (a24)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> (~(hskp10)) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(c3_1 (a5))) -> (~(c2_1 (a5))) -> (~(c1_1 (a5))) -> (~(c0_1 (a22))) -> (~(c2_1 (a22))) -> (~(c3_1 (a22))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(c3_1 X17))))))) -> (~(hskp1)) -> False). % 1.22/1.37 do 0 intro. intros zenon_H10d zenon_H162 zenon_H2d zenon_H233 zenon_H234 zenon_H235 zenon_H43 zenon_H29c zenon_H289 zenon_H288 zenon_H80 zenon_H89 zenon_H81 zenon_H2a1 zenon_Hde. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_H1a. zenon_intro zenon_H10f. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H104. zenon_intro zenon_H110. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_H102. zenon_intro zenon_H103. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H165 ]. % 1.22/1.37 apply (zenon_L454_); trivial. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H31 | zenon_intro zenon_Hdf ]. % 1.22/1.37 apply (zenon_L533_); trivial. % 1.22/1.37 exact (zenon_Hde zenon_Hdf). % 1.22/1.37 (* end of lemma zenon_L599_ *) % 1.22/1.37 assert (zenon_L600_ : ((ndr1_0)/\((~(c0_1 (a22)))/\((~(c2_1 (a22)))/\(~(c3_1 (a22)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a24))/\((~(c0_1 (a24)))/\(~(c1_1 (a24))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> (~(hskp1)) -> (~(c1_1 (a5))) -> (~(c2_1 (a5))) -> (~(c3_1 (a5))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(c3_1 X17))))))) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> (~(hskp10)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (c0_1 (a15)) -> (~(hskp2)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((hskp2)\/(hskp14))) -> False). % 1.22/1.37 do 0 intro. intros zenon_H284 zenon_H112 zenon_H162 zenon_Hde zenon_H288 zenon_H289 zenon_H29c zenon_H2a1 zenon_H233 zenon_H234 zenon_H235 zenon_H2d zenon_H43 zenon_H115 zenon_H116 zenon_H117 zenon_Hfe zenon_H113. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H284). zenon_intro zenon_H1a. zenon_intro zenon_H285. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_H80. zenon_intro zenon_H286. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H286). zenon_intro zenon_H89. zenon_intro zenon_H81. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_H100 | zenon_intro zenon_H10d ]. % 1.22/1.37 apply (zenon_L74_); trivial. % 1.22/1.37 apply (zenon_L599_); trivial. % 1.22/1.37 (* end of lemma zenon_L600_ *) % 1.22/1.37 assert (zenon_L601_ : ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp19)) -> (c1_1 (a7)) -> (c3_1 (a7)) -> (~(c0_1 (a7))) -> (forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1)))))) -> (c1_1 (a3)) -> (c2_1 (a3)) -> (c3_1 (a3)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (c2_1 (a18)) -> (c0_1 (a18)) -> (~(c3_1 (a18))) -> (ndr1_0) -> (~(hskp11)) -> False). % 1.22/1.37 do 0 intro. intros zenon_H93 zenon_H14a zenon_H144 zenon_H234 zenon_H235 zenon_H233 zenon_Hd6 zenon_H1d zenon_H1e zenon_H1f zenon_Hd3 zenon_Hc2 zenon_He0 zenon_Hc1 zenon_H1a zenon_H91. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H49 | zenon_intro zenon_H94 ]. % 1.22/1.37 apply (zenon_L258_); trivial. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H8e | zenon_intro zenon_H92 ]. % 1.22/1.37 apply (zenon_L59_); trivial. % 1.22/1.37 exact (zenon_H91 zenon_H92). % 1.22/1.37 (* end of lemma zenon_L601_ *) % 1.22/1.37 assert (zenon_L602_ : ((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a11))/\((c1_1 (a11))/\(c3_1 (a11)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp19)) -> (~(c3_1 (a18))) -> (c2_1 (a18)) -> (c0_1 (a18)) -> (c1_1 (a7)) -> (c3_1 (a7)) -> (~(c0_1 (a7))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(hskp7)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp27)\/(hskp7))) -> False). % 1.22/1.37 do 0 intro. intros zenon_H41 zenon_H97 zenon_H42 zenon_Hd zenon_H93 zenon_H91 zenon_H14a zenon_H144 zenon_Hc1 zenon_Hc2 zenon_He0 zenon_H234 zenon_H235 zenon_H233 zenon_Hd3 zenon_H1 zenon_H299. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H1a. zenon_intro zenon_H44. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H1d. zenon_intro zenon_H45. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H1e. zenon_intro zenon_H1f. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H98 ]. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H299); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H29a ]. % 1.22/1.37 apply (zenon_L601_); trivial. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H29a); [ zenon_intro zenon_H5a | zenon_intro zenon_H2 ]. % 1.22/1.37 exact (zenon_H59 zenon_H5a). % 1.22/1.37 exact (zenon_H1 zenon_H2). % 1.22/1.37 apply (zenon_L264_); trivial. % 1.22/1.37 (* end of lemma zenon_L602_ *) % 1.22/1.37 assert (zenon_L603_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a11))/\((c1_1 (a11))/\(c3_1 (a11)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(c3_1 (a18))) -> (c2_1 (a18)) -> (c0_1 (a18)) -> (c1_1 (a7)) -> (c3_1 (a7)) -> (~(c0_1 (a7))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(hskp7)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp27)\/(hskp7))) -> (~(hskp0)) -> ((hskp24)\/((hskp23)\/(hskp0))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (c0_1 (a15)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53))))))) -> False). % 1.22/1.37 do 0 intro. intros zenon_H17b zenon_H48 zenon_H97 zenon_H42 zenon_Hd zenon_H93 zenon_H91 zenon_H14a zenon_Hc1 zenon_Hc2 zenon_He0 zenon_H234 zenon_H235 zenon_H233 zenon_Hd3 zenon_H1 zenon_H299 zenon_H15 zenon_H17 zenon_H115 zenon_H116 zenon_H117 zenon_H1a9 zenon_H9d. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H13 | zenon_intro zenon_Ha1 ]. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H11 | zenon_intro zenon_H41 ]. % 1.22/1.37 apply (zenon_L12_); trivial. % 1.22/1.37 apply (zenon_L602_); trivial. % 1.22/1.37 apply (zenon_L511_); trivial. % 1.22/1.37 apply (zenon_L153_); trivial. % 1.22/1.37 (* end of lemma zenon_L603_ *) % 1.22/1.37 assert (zenon_L604_ : ((ndr1_0)/\((c0_1 (a18))/\((c2_1 (a18))/\(~(c3_1 (a18)))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a19))/\((~(c1_1 (a19)))/\(~(c3_1 (a19))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(hskp7)) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> (c0_1 (a15)) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> ((hskp24)\/((hskp23)\/(hskp0))) -> (~(hskp0)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp27)\/(hskp7))) -> (~(hskp7)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(c0_1 (a7))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp4)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a11))/\((c1_1 (a11))/\(c3_1 (a11)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> False). % 1.22/1.37 do 0 intro. intros zenon_H217 zenon_H213 zenon_Hb7 zenon_H9d zenon_H1a9 zenon_H117 zenon_H116 zenon_H115 zenon_H17 zenon_H15 zenon_H299 zenon_H1 zenon_Hd3 zenon_H233 zenon_H235 zenon_H234 zenon_H14a zenon_H93 zenon_Hd zenon_H42 zenon_H97 zenon_H48 zenon_H17b. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H1a. zenon_intro zenon_H218. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_He0. zenon_intro zenon_H219. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_Hc2. zenon_intro zenon_Hc1. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H91 | zenon_intro zenon_He5 ]. % 1.22/1.37 apply (zenon_L603_); trivial. % 1.22/1.37 apply (zenon_L62_); trivial. % 1.22/1.37 (* end of lemma zenon_L604_ *) % 1.22/1.37 assert (zenon_L605_ : (forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37)))))) -> (ndr1_0) -> (forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))) -> (c0_1 (a9)) -> (c2_1 (a9)) -> False). % 1.22/1.37 do 0 intro. intros zenon_H8e zenon_H1a zenon_Hcd zenon_H13b zenon_H13d. % 1.22/1.37 generalize (zenon_H8e (a9)). zenon_intro zenon_H2b1. % 1.22/1.37 apply (zenon_imply_s _ _ zenon_H2b1); [ zenon_intro zenon_H19 | zenon_intro zenon_H2b2 ]. % 1.22/1.37 exact (zenon_H19 zenon_H1a). % 1.22/1.37 apply (zenon_or_s _ _ zenon_H2b2); [ zenon_intro zenon_H2b4 | zenon_intro zenon_H2b3 ]. % 1.22/1.37 generalize (zenon_Hcd (a9)). zenon_intro zenon_H2b5. % 1.22/1.37 apply (zenon_imply_s _ _ zenon_H2b5); [ zenon_intro zenon_H19 | zenon_intro zenon_H2b6 ]. % 1.22/1.37 exact (zenon_H19 zenon_H1a). % 1.22/1.37 apply (zenon_or_s _ _ zenon_H2b6); [ zenon_intro zenon_H141 | zenon_intro zenon_H2b7 ]. % 1.22/1.37 exact (zenon_H141 zenon_H13b). % 1.22/1.37 apply (zenon_or_s _ _ zenon_H2b7); [ zenon_intro zenon_H142 | zenon_intro zenon_H2b8 ]. % 1.22/1.37 exact (zenon_H142 zenon_H13d). % 1.22/1.37 exact (zenon_H2b8 zenon_H2b4). % 1.22/1.37 apply (zenon_or_s _ _ zenon_H2b3); [ zenon_intro zenon_H141 | zenon_intro zenon_H142 ]. % 1.22/1.37 exact (zenon_H141 zenon_H13b). % 1.22/1.37 exact (zenon_H142 zenon_H13d). % 1.22/1.37 (* end of lemma zenon_L605_ *) % 1.22/1.37 assert (zenon_L606_ : ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (c2_1 (a9)) -> (c0_1 (a9)) -> (forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37)))))) -> (c2_1 (a24)) -> (forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))) -> (~(c1_1 (a24))) -> (ndr1_0) -> False). % 1.22/1.37 do 0 intro. intros zenon_Hd3 zenon_H13d zenon_H13b zenon_H8e zenon_H104 zenon_H31 zenon_H103 zenon_H1a. % 1.22/1.37 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_Had | zenon_intro zenon_Hcd ]. % 1.22/1.37 apply (zenon_L293_); trivial. % 1.22/1.37 apply (zenon_L605_); trivial. % 1.22/1.37 (* end of lemma zenon_L606_ *) % 1.22/1.37 assert (zenon_L607_ : ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp19)) -> (c2_1 (a3)) -> (c3_1 (a3)) -> (c1_1 (a3)) -> (~(c0_1 (a7))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (ndr1_0) -> (~(c1_1 (a24))) -> (forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))) -> (c2_1 (a24)) -> (c0_1 (a9)) -> (c2_1 (a9)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(hskp11)) -> False). % 1.22/1.37 do 0 intro. intros zenon_H93 zenon_H144 zenon_H1e zenon_H1f zenon_H1d zenon_H233 zenon_H235 zenon_H234 zenon_H14a zenon_H1a zenon_H103 zenon_H31 zenon_H104 zenon_H13b zenon_H13d zenon_Hd3 zenon_H91. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H49 | zenon_intro zenon_H94 ]. % 1.22/1.37 apply (zenon_L267_); trivial. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H8e | zenon_intro zenon_H92 ]. % 1.22/1.37 apply (zenon_L606_); trivial. % 1.22/1.37 exact (zenon_H91 zenon_H92). % 1.22/1.37 (* end of lemma zenon_L607_ *) % 1.22/1.37 assert (zenon_L608_ : ((~(hskp23))\/((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> (~(hskp4)) -> (c0_1 (a15)) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> ((hskp24)\/((hskp23)\/(hskp0))) -> (~(hskp0)) -> ((hskp25)\/((hskp17)\/(hskp21))) -> (~(hskp21)) -> (~(hskp17)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp10)) -> (c2_1 (a24)) -> (~(c1_1 (a24))) -> (~(c0_1 (a24))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(hskp19)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp1)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> False). % 1.22/1.37 do 0 intro. intros zenon_H9d zenon_H1a9 zenon_Hd zenon_H117 zenon_H116 zenon_H115 zenon_H17 zenon_H15 zenon_H130 zenon_H12e zenon_H9 zenon_H43 zenon_H2d zenon_H104 zenon_H103 zenon_H102 zenon_H235 zenon_H234 zenon_H233 zenon_H93 zenon_H91 zenon_Hd3 zenon_H144 zenon_H14a zenon_Hde zenon_H162 zenon_H167 zenon_H48. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H13 | zenon_intro zenon_Ha1 ]. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H11 | zenon_intro zenon_H41 ]. % 1.22/1.37 apply (zenon_L12_); trivial. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H1a. zenon_intro zenon_H44. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H1d. zenon_intro zenon_H45. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H1e. zenon_intro zenon_H1f. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H12c | zenon_intro zenon_H148 ]. % 1.22/1.37 apply (zenon_L81_); trivial. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H1a. zenon_intro zenon_H14b. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H13b. zenon_intro zenon_H14c. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H14c). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H165 ]. % 1.22/1.37 apply (zenon_L454_); trivial. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H31 | zenon_intro zenon_Hdf ]. % 1.22/1.37 apply (zenon_L607_); trivial. % 1.22/1.37 exact (zenon_Hde zenon_Hdf). % 1.22/1.37 apply (zenon_L511_); trivial. % 1.22/1.37 (* end of lemma zenon_L608_ *) % 1.22/1.37 assert (zenon_L609_ : ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp19)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(hskp11)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> (~(c0_1 (a24))) -> (~(c1_1 (a24))) -> (c2_1 (a24)) -> (~(hskp10)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp17)) -> ((hskp25)\/((hskp17)\/(hskp21))) -> (~(hskp0)) -> ((hskp24)\/((hskp23)\/(hskp0))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (c0_1 (a15)) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53))))))) -> False). % 1.22/1.37 do 0 intro. intros zenon_H166 zenon_H48 zenon_H167 zenon_H162 zenon_Hde zenon_H14a zenon_H144 zenon_Hd3 zenon_H91 zenon_H93 zenon_H233 zenon_H234 zenon_H235 zenon_H102 zenon_H103 zenon_H104 zenon_H2d zenon_H43 zenon_H9 zenon_H130 zenon_H15 zenon_H17 zenon_H115 zenon_H116 zenon_H117 zenon_Hd zenon_H1a9 zenon_H9d. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H12e | zenon_intro zenon_H161 ]. % 1.22/1.37 apply (zenon_L608_); trivial. % 1.22/1.37 apply (zenon_L461_); trivial. % 1.22/1.37 (* end of lemma zenon_L609_ *) % 1.22/1.37 assert (zenon_L610_ : ((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(c0_1 (a7))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (c0_1 (a18)) -> (c2_1 (a18)) -> (~(c3_1 (a18))) -> (~(hskp19)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp11)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (c2_1 (a24)) -> (~(c1_1 (a24))) -> (~(c0_1 (a24))) -> (~(c3_1 (a25))) -> (c0_1 (a25)) -> (c1_1 (a25)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp24))) -> False). % 1.22/1.37 do 0 intro. intros zenon_H1d7 zenon_H48 zenon_H177 zenon_Hd3 zenon_H233 zenon_H235 zenon_H234 zenon_He0 zenon_Hc2 zenon_Hc1 zenon_H144 zenon_H14a zenon_H91 zenon_H93 zenon_H95 zenon_H104 zenon_H103 zenon_H102 zenon_H18e zenon_H18f zenon_H19a zenon_H1f8. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H1a. zenon_intro zenon_H1d8. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1d0. zenon_intro zenon_H1d9. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1ce. zenon_intro zenon_H1cf. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H11 | zenon_intro zenon_H41 ]. % 1.22/1.37 apply (zenon_L542_); trivial. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H1a. zenon_intro zenon_H44. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H1d. zenon_intro zenon_H45. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H1e. zenon_intro zenon_H1f. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hd6 ]. % 1.22/1.37 apply (zenon_L310_); trivial. % 1.22/1.37 apply (zenon_L601_); trivial. % 1.22/1.37 (* end of lemma zenon_L610_ *) % 1.22/1.37 assert (zenon_L611_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (c2_1 (a24)) -> (~(c1_1 (a24))) -> (~(c0_1 (a24))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp24))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> (c2_1 (a18)) -> (c0_1 (a18)) -> (~(c3_1 (a18))) -> (ndr1_0) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c2_1 (a31)) -> (c0_1 (a31)) -> (~(c1_1 (a31))) -> (c1_1 (a25)) -> (c0_1 (a25)) -> (~(c3_1 (a25))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp19)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(hskp4)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> False). % 1.22/1.37 do 0 intro. intros zenon_H1da zenon_H48 zenon_H177 zenon_H95 zenon_H104 zenon_H103 zenon_H102 zenon_H1f8 zenon_H1c6 zenon_Hc2 zenon_He0 zenon_Hc1 zenon_H1a zenon_H233 zenon_H234 zenon_H235 zenon_H93 zenon_H91 zenon_Hfc zenon_H33 zenon_H3c zenon_H32 zenon_H19a zenon_H18f zenon_H18e zenon_H14a zenon_H144 zenon_Hd3 zenon_Hd zenon_H42 zenon_H1c1. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.22/1.37 apply (zenon_L257_); trivial. % 1.22/1.37 apply (zenon_L610_); trivial. % 1.22/1.37 (* end of lemma zenon_L611_ *) % 1.22/1.37 assert (zenon_L612_ : ((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11)))))))) -> (c2_1 (a24)) -> (~(c1_1 (a24))) -> (~(c0_1 (a24))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(c1_1 (a31))) -> (c0_1 (a31)) -> (c2_1 (a31)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (c1_1 (a25)) -> (c0_1 (a25)) -> (~(c3_1 (a25))) -> (~(hskp11)) -> False). % 1.22/1.37 do 0 intro. intros zenon_H176 zenon_H1e0 zenon_H104 zenon_H103 zenon_H102 zenon_Hd3 zenon_H32 zenon_H3c zenon_H33 zenon_Hfc zenon_H93 zenon_H19a zenon_H18f zenon_H18e zenon_H91. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1a. zenon_intro zenon_H178. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H16a. zenon_intro zenon_H179. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H171. zenon_intro zenon_H168. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H65 | zenon_intro zenon_H1e1 ]. % 1.22/1.37 apply (zenon_L69_); trivial. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H3b | zenon_intro zenon_Hf3 ]. % 1.22/1.37 apply (zenon_L157_); trivial. % 1.22/1.37 apply (zenon_L158_); trivial. % 1.22/1.37 (* end of lemma zenon_L612_ *) % 1.22/1.37 assert (zenon_L613_ : ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> (~(hskp10)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((hskp25)\/((hskp17)\/(hskp21))) -> (~(hskp1)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> (ndr1_0) -> (~(c2_1 (a14))) -> (c0_1 (a14)) -> (c3_1 (a14)) -> (~(hskp17)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> False). % 1.22/1.37 do 0 intro. intros zenon_H17a zenon_H17b zenon_H177 zenon_H233 zenon_H234 zenon_H235 zenon_H2d zenon_H43 zenon_H167 zenon_H149 zenon_H146 zenon_H14a zenon_H130 zenon_Hde zenon_H162 zenon_H166 zenon_H1a zenon_H11f zenon_H120 zenon_H121 zenon_H9 zenon_H12a. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H128 | zenon_intro zenon_H17c ]. % 1.22/1.37 apply (zenon_L78_); trivial. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H17c). zenon_intro zenon_H1a. zenon_intro zenon_H17d. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H14f. zenon_intro zenon_H17e. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_H150. zenon_intro zenon_H151. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.22/1.37 apply (zenon_L90_); trivial. % 1.22/1.37 apply (zenon_L466_); trivial. % 1.22/1.37 (* end of lemma zenon_L613_ *) % 1.22/1.37 assert (zenon_L614_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> (c3_1 (a14)) -> (c0_1 (a14)) -> (~(c2_1 (a14))) -> (ndr1_0) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> (~(hskp1)) -> ((hskp25)\/((hskp17)\/(hskp21))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp15)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp10)) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> False). % 1.22/1.37 do 0 intro. intros zenon_H9c zenon_H42 zenon_Hd zenon_H12a zenon_H121 zenon_H120 zenon_H11f zenon_H1a zenon_H166 zenon_H162 zenon_Hde zenon_H130 zenon_H14a zenon_H146 zenon_H149 zenon_H167 zenon_H43 zenon_H2d zenon_H235 zenon_H234 zenon_H233 zenon_H177 zenon_H17b zenon_H17a. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.22/1.37 apply (zenon_L613_); trivial. % 1.22/1.37 apply (zenon_L244_); trivial. % 1.22/1.37 (* end of lemma zenon_L614_ *) % 1.22/1.37 assert (zenon_L615_ : ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> (c2_1 (a24)) -> (~(c1_1 (a24))) -> (forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))) -> (~(c0_1 (a24))) -> (~(hskp11)) -> (~(c3_1 (a25))) -> (c0_1 (a25)) -> (c1_1 (a25)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> (~(c0_1 (a7))) -> (c1_1 (a3)) -> (c3_1 (a3)) -> (c2_1 (a3)) -> (~(hskp19)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (ndr1_0) -> (c0_1 (a9)) -> (c1_1 (a9)) -> (c2_1 (a9)) -> False). % 1.22/1.37 do 0 intro. intros zenon_H1f0 zenon_H104 zenon_H103 zenon_H31 zenon_H102 zenon_H91 zenon_H18e zenon_H18f zenon_H19a zenon_H14a zenon_H234 zenon_H235 zenon_H233 zenon_H1d zenon_H1f zenon_H1e zenon_H144 zenon_H93 zenon_H1a zenon_H13b zenon_H13c zenon_H13d. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H1ab | zenon_intro zenon_H1f1 ]. % 1.22/1.37 apply (zenon_L423_); trivial. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H1c ]. % 1.22/1.37 apply (zenon_L268_); trivial. % 1.22/1.37 apply (zenon_L83_); trivial. % 1.22/1.37 (* end of lemma zenon_L615_ *) % 1.22/1.37 assert (zenon_L616_ : ((~(hskp23))\/((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> (~(hskp4)) -> (c0_1 (a15)) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> ((hskp24)\/((hskp23)\/(hskp0))) -> (~(hskp0)) -> ((hskp25)\/((hskp17)\/(hskp21))) -> (~(hskp21)) -> (~(hskp17)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp10)) -> (c2_1 (a24)) -> (~(c1_1 (a24))) -> (~(c0_1 (a24))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp19)) -> (~(c3_1 (a25))) -> (c0_1 (a25)) -> (c1_1 (a25)) -> (~(hskp11)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp1)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> False). % 1.22/1.37 do 0 intro. intros zenon_H9d zenon_H1a9 zenon_Hd zenon_H117 zenon_H116 zenon_H115 zenon_H17 zenon_H15 zenon_H130 zenon_H12e zenon_H9 zenon_H43 zenon_H2d zenon_H104 zenon_H103 zenon_H102 zenon_H235 zenon_H234 zenon_H233 zenon_H1f0 zenon_H14a zenon_H144 zenon_H18e zenon_H18f zenon_H19a zenon_H91 zenon_H93 zenon_Hde zenon_H162 zenon_H167 zenon_H48. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H13 | zenon_intro zenon_Ha1 ]. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H11 | zenon_intro zenon_H41 ]. % 1.22/1.37 apply (zenon_L12_); trivial. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H1a. zenon_intro zenon_H44. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H1d. zenon_intro zenon_H45. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H1e. zenon_intro zenon_H1f. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H12c | zenon_intro zenon_H148 ]. % 1.22/1.37 apply (zenon_L81_); trivial. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H1a. zenon_intro zenon_H14b. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H13b. zenon_intro zenon_H14c. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H14c). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H165 ]. % 1.22/1.37 apply (zenon_L454_); trivial. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H31 | zenon_intro zenon_Hdf ]. % 1.22/1.37 apply (zenon_L615_); trivial. % 1.22/1.37 exact (zenon_Hde zenon_Hdf). % 1.22/1.37 apply (zenon_L511_); trivial. % 1.22/1.37 (* end of lemma zenon_L616_ *) % 1.22/1.37 assert (zenon_L617_ : ((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> (~(hskp4)) -> (c0_1 (a15)) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> ((hskp24)\/((hskp23)\/(hskp0))) -> (~(hskp0)) -> ((hskp25)\/((hskp17)\/(hskp21))) -> (~(hskp17)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp10)) -> (c2_1 (a24)) -> (~(c1_1 (a24))) -> (~(c0_1 (a24))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(c3_1 (a25))) -> (c0_1 (a25)) -> (c1_1 (a25)) -> (~(hskp11)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp1)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> False). % 1.22/1.37 do 0 intro. intros zenon_H17c zenon_H17b zenon_H177 zenon_H9d zenon_H1a9 zenon_Hd zenon_H117 zenon_H116 zenon_H115 zenon_H17 zenon_H15 zenon_H130 zenon_H9 zenon_H43 zenon_H2d zenon_H104 zenon_H103 zenon_H102 zenon_H235 zenon_H234 zenon_H233 zenon_H1f0 zenon_H14a zenon_H18e zenon_H18f zenon_H19a zenon_H91 zenon_H93 zenon_Hde zenon_H162 zenon_H167 zenon_H48 zenon_H166. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H17c). zenon_intro zenon_H1a. zenon_intro zenon_H17d. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H14f. zenon_intro zenon_H17e. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_H150. zenon_intro zenon_H151. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H12e | zenon_intro zenon_H161 ]. % 1.22/1.37 apply (zenon_L616_); trivial. % 1.22/1.37 apply (zenon_L89_); trivial. % 1.22/1.37 apply (zenon_L93_); trivial. % 1.22/1.37 (* end of lemma zenon_L617_ *) % 1.22/1.37 assert (zenon_L618_ : ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> (~(hskp4)) -> (c0_1 (a15)) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> ((hskp24)\/((hskp23)\/(hskp0))) -> (~(hskp0)) -> ((hskp25)\/((hskp17)\/(hskp21))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp10)) -> (c2_1 (a24)) -> (~(c1_1 (a24))) -> (~(c0_1 (a24))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(c3_1 (a25))) -> (c0_1 (a25)) -> (c1_1 (a25)) -> (~(hskp11)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp1)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> (ndr1_0) -> (~(c2_1 (a14))) -> (c0_1 (a14)) -> (c3_1 (a14)) -> (~(hskp17)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> False). % 1.22/1.37 do 0 intro. intros zenon_H17a zenon_H17b zenon_H177 zenon_H9d zenon_H1a9 zenon_Hd zenon_H117 zenon_H116 zenon_H115 zenon_H17 zenon_H15 zenon_H130 zenon_H43 zenon_H2d zenon_H104 zenon_H103 zenon_H102 zenon_H235 zenon_H234 zenon_H233 zenon_H1f0 zenon_H14a zenon_H18e zenon_H18f zenon_H19a zenon_H91 zenon_H93 zenon_Hde zenon_H162 zenon_H167 zenon_H48 zenon_H166 zenon_H1a zenon_H11f zenon_H120 zenon_H121 zenon_H9 zenon_H12a. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H128 | zenon_intro zenon_H17c ]. % 1.22/1.37 apply (zenon_L78_); trivial. % 1.22/1.37 apply (zenon_L617_); trivial. % 1.22/1.37 (* end of lemma zenon_L618_ *) % 1.22/1.37 assert (zenon_L619_ : ((ndr1_0)/\((c2_1 (a19))/\((~(c1_1 (a19)))/\(~(c3_1 (a19)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(~(c3_1 (a25))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp24))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> (~(hskp10)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((hskp25)\/((hskp17)\/(hskp21))) -> (~(hskp1)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> (~(c2_1 (a14))) -> (c0_1 (a14)) -> (c3_1 (a14)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> (~(hskp4)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> False). % 1.22/1.37 do 0 intro. intros zenon_He5 zenon_H1a2 zenon_H1f8 zenon_Hd3 zenon_H48 zenon_H17a zenon_H17b zenon_H177 zenon_H233 zenon_H234 zenon_H235 zenon_H2d zenon_H43 zenon_H167 zenon_H149 zenon_H14a zenon_H130 zenon_Hde zenon_H162 zenon_H166 zenon_H11f zenon_H120 zenon_H121 zenon_H12a zenon_Hd zenon_H42 zenon_H9c. % 1.22/1.37 apply (zenon_and_s _ _ zenon_He5). zenon_intro zenon_H1a. zenon_intro zenon_He6. % 1.22/1.37 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_Hb0. zenon_intro zenon_He7. % 1.22/1.37 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hae. zenon_intro zenon_Haf. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H146 | zenon_intro zenon_H19f ]. % 1.22/1.37 apply (zenon_L614_); trivial. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H1a. zenon_intro zenon_H1a0. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H18f. zenon_intro zenon_H1a1. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H19a. zenon_intro zenon_H18e. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.22/1.37 apply (zenon_L191_); trivial. % 1.22/1.37 apply (zenon_L244_); trivial. % 1.22/1.37 (* end of lemma zenon_L619_ *) % 1.22/1.37 assert (zenon_L620_ : ((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> (~(hskp1)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(c0_1 (a7))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (c0_1 (a18)) -> (c2_1 (a18)) -> (~(c3_1 (a18))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp11)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp0)) -> ((hskp24)\/((hskp23)\/(hskp0))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (c0_1 (a15)) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53))))))) -> False). % 1.22/1.37 do 0 intro. intros zenon_H17c zenon_H17b zenon_Hde zenon_H162 zenon_H48 zenon_H177 zenon_Hd3 zenon_H233 zenon_H235 zenon_H234 zenon_He0 zenon_Hc2 zenon_Hc1 zenon_H14a zenon_H91 zenon_H93 zenon_H15 zenon_H17 zenon_H115 zenon_H116 zenon_H117 zenon_Hd zenon_H1a9 zenon_H9d. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H17c). zenon_intro zenon_H1a. zenon_intro zenon_H17d. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H14f. zenon_intro zenon_H17e. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_H150. zenon_intro zenon_H151. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H13 | zenon_intro zenon_Ha1 ]. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H11 | zenon_intro zenon_H41 ]. % 1.22/1.37 apply (zenon_L12_); trivial. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H1a. zenon_intro zenon_H44. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H1d. zenon_intro zenon_H45. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H1e. zenon_intro zenon_H1f. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hd6 ]. % 1.22/1.37 apply (zenon_L87_); trivial. % 1.22/1.37 apply (zenon_L601_); trivial. % 1.22/1.37 apply (zenon_L511_); trivial. % 1.22/1.37 apply (zenon_L93_); trivial. % 1.22/1.37 (* end of lemma zenon_L620_ *) % 1.22/1.37 assert (zenon_L621_ : ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> (~(hskp1)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(c0_1 (a7))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (c0_1 (a18)) -> (c2_1 (a18)) -> (~(c3_1 (a18))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp11)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp0)) -> ((hskp24)\/((hskp23)\/(hskp0))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (c0_1 (a15)) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53))))))) -> (ndr1_0) -> (~(c2_1 (a14))) -> (c0_1 (a14)) -> (c3_1 (a14)) -> (~(hskp17)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> False). % 1.22/1.37 do 0 intro. intros zenon_H17a zenon_H17b zenon_Hde zenon_H162 zenon_H48 zenon_H177 zenon_Hd3 zenon_H233 zenon_H235 zenon_H234 zenon_He0 zenon_Hc2 zenon_Hc1 zenon_H14a zenon_H91 zenon_H93 zenon_H15 zenon_H17 zenon_H115 zenon_H116 zenon_H117 zenon_Hd zenon_H1a9 zenon_H9d zenon_H1a zenon_H11f zenon_H120 zenon_H121 zenon_H9 zenon_H12a. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H128 | zenon_intro zenon_H17c ]. % 1.22/1.37 apply (zenon_L78_); trivial. % 1.22/1.37 apply (zenon_L620_); trivial. % 1.22/1.37 (* end of lemma zenon_L621_ *) % 1.22/1.37 assert (zenon_L622_ : ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/(hskp13))) -> (c0_1 (a15)) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> (ndr1_0) -> (~(c1_1 (a31))) -> (c0_1 (a31)) -> (c2_1 (a31)) -> (forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(hskp13)) -> False). % 1.22/1.37 do 0 intro. intros zenon_H247 zenon_H117 zenon_H116 zenon_H115 zenon_H1a zenon_H32 zenon_H3c zenon_H33 zenon_H8e zenon_Hd3 zenon_H5. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H247); [ zenon_intro zenon_Hf2 | zenon_intro zenon_H248 ]. % 1.22/1.37 apply (zenon_L73_); trivial. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H248); [ zenon_intro zenon_H243 | zenon_intro zenon_H6 ]. % 1.22/1.37 apply (zenon_L523_); trivial. % 1.22/1.37 exact (zenon_H5 zenon_H6). % 1.22/1.37 (* end of lemma zenon_L622_ *) % 1.22/1.37 assert (zenon_L623_ : ((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp13)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (c2_1 (a31)) -> (c0_1 (a31)) -> (~(c1_1 (a31))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (c0_1 (a15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/(hskp13))) -> (~(hskp11)) -> False). % 1.22/1.37 do 0 intro. intros zenon_H176 zenon_H93 zenon_H5 zenon_Hd3 zenon_H33 zenon_H3c zenon_H32 zenon_H115 zenon_H116 zenon_H117 zenon_H247 zenon_H91. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1a. zenon_intro zenon_H178. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H16a. zenon_intro zenon_H179. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H171. zenon_intro zenon_H168. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H49 | zenon_intro zenon_H94 ]. % 1.22/1.37 apply (zenon_L105_); trivial. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H8e | zenon_intro zenon_H92 ]. % 1.22/1.37 apply (zenon_L622_); trivial. % 1.22/1.37 exact (zenon_H91 zenon_H92). % 1.22/1.37 (* end of lemma zenon_L623_ *) % 1.22/1.37 assert (zenon_L624_ : ((ndr1_0)/\((c2_1 (a24))/\((~(c0_1 (a24)))/\(~(c1_1 (a24)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(~(c3_1 (a25))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(c3_1 X17))))))) -> (~(c3_1 (a5))) -> (~(c2_1 (a5))) -> (~(c1_1 (a5))) -> (~(c3_1 (a22))) -> (~(c2_1 (a22))) -> (~(c0_1 (a22))) -> (~(hskp1)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(c3_1 (a18))) -> (c2_1 (a18)) -> (c0_1 (a18)) -> (c3_1 (a14)) -> (~(c2_1 (a14))) -> (c0_1 (a14)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> (~(hskp11)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> False). % 1.22/1.37 do 0 intro. intros zenon_H10d zenon_H1a2 zenon_H9c zenon_H1e0 zenon_H1c1 zenon_H1ee zenon_Hd3 zenon_Hfc zenon_H1c6 zenon_H95 zenon_H1da zenon_H12a zenon_H2a1 zenon_H29c zenon_H289 zenon_H288 zenon_H81 zenon_H89 zenon_H80 zenon_Hde zenon_H162 zenon_H17a zenon_H42 zenon_Hd zenon_H14a zenon_Hc1 zenon_Hc2 zenon_He0 zenon_H121 zenon_H11f zenon_H120 zenon_H149 zenon_H235 zenon_H234 zenon_H233 zenon_H91 zenon_H93 zenon_H17b. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_H1a. zenon_intro zenon_H10f. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H104. zenon_intro zenon_H110. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_H102. zenon_intro zenon_H103. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H146 | zenon_intro zenon_H19f ]. % 1.22/1.37 apply (zenon_L253_); trivial. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H1a. zenon_intro zenon_H1a0. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H18f. zenon_intro zenon_H1a1. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H19a. zenon_intro zenon_H18e. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.22/1.37 apply (zenon_L535_); trivial. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.22/1.37 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.22/1.37 apply (zenon_L288_); trivial. % 1.22/1.37 apply (zenon_L316_); trivial. % 1.22/1.37 apply (zenon_L612_); trivial. % 1.22/1.37 (* end of lemma zenon_L624_ *) % 1.22/1.37 assert (zenon_L625_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> (~(c1_1 (a5))) -> (~(c2_1 (a5))) -> (~(hskp2)) -> (~(hskp14)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((hskp2)\/(hskp14))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp8)\/(hskp9))) -> (~(hskp9)) -> (~(hskp8)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (~(c2_1 (a6))) -> ((hskp25)\/((hskp17)\/(hskp21))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> (~(hskp10)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> (~(hskp1)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> False). % 1.22/1.37 do 0 intro. intros zenon_H9c zenon_H63 zenon_H15 zenon_H288 zenon_H289 zenon_Hfe zenon_H100 zenon_H113 zenon_H17b zenon_H1a3 zenon_H3 zenon_Hb zenon_H167 zenon_H14a zenon_H256 zenon_H255 zenon_H254 zenon_H130 zenon_H12a zenon_H2d zenon_H43 zenon_H166 zenon_H162 zenon_Hde zenon_H177 zenon_H17a. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.22/1.37 apply (zenon_L328_); trivial. % 1.22/1.37 apply (zenon_L493_); trivial. % 1.22/1.37 (* end of lemma zenon_L625_ *) % 1.22/1.37 assert (zenon_L626_ : ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> (~(hskp1)) -> (ndr1_0) -> (~(c0_1 (a22))) -> (~(c2_1 (a22))) -> (~(c3_1 (a22))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp10)) -> (c2_1 (a24)) -> (~(c1_1 (a24))) -> (~(c0_1 (a24))) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> (~(hskp17)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> (~(c1_1 (a5))) -> (~(c2_1 (a5))) -> (~(c3_1 (a5))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(c3_1 X17))))))) -> False). % 1.22/1.37 do 0 intro. intros zenon_H17a zenon_H162 zenon_Hde zenon_H1a zenon_H80 zenon_H89 zenon_H81 zenon_H43 zenon_H2d zenon_H104 zenon_H103 zenon_H102 zenon_H254 zenon_H255 zenon_H256 zenon_H9 zenon_H12a zenon_H288 zenon_H289 zenon_H29c zenon_H2a1. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H128 | zenon_intro zenon_H17c ]. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H1e7 | zenon_intro zenon_H2a2 ]. % 1.22/1.37 apply (zenon_L221_); trivial. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H1ab | zenon_intro zenon_H29b ]. % 1.22/1.37 apply (zenon_L424_); trivial. % 1.22/1.37 apply (zenon_L532_); trivial. % 1.22/1.37 apply (zenon_L534_); trivial. % 1.22/1.37 (* end of lemma zenon_L626_ *) % 1.22/1.37 assert (zenon_L627_ : ((ndr1_0)/\((c2_1 (a24))/\((~(c0_1 (a24)))/\(~(c1_1 (a24)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp0)) -> ((hskp24)\/((hskp23)\/(hskp0))) -> (~(hskp11)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(hskp0))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(c3_1 X17))))))) -> (~(c3_1 (a5))) -> (~(c2_1 (a5))) -> (~(c1_1 (a5))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (~(c2_1 (a6))) -> (~(hskp10)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(c3_1 (a22))) -> (~(c2_1 (a22))) -> (~(c0_1 (a22))) -> (~(hskp1)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> False). % 1.22/1.37 do 0 intro. intros zenon_H10d zenon_H9c zenon_H17b zenon_H48 zenon_H1ee zenon_H14a zenon_H15 zenon_H17 zenon_H91 zenon_H93 zenon_H95 zenon_H63 zenon_H9d zenon_H2a1 zenon_H29c zenon_H289 zenon_H288 zenon_H12a zenon_H256 zenon_H255 zenon_H254 zenon_H2d zenon_H43 zenon_H81 zenon_H89 zenon_H80 zenon_Hde zenon_H162 zenon_H17a. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_H1a. zenon_intro zenon_H10f. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H104. zenon_intro zenon_H110. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_H102. zenon_intro zenon_H103. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.22/1.37 apply (zenon_L626_); trivial. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.22/1.37 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H13 | zenon_intro zenon_Ha1 ]. % 1.22/1.37 apply (zenon_L383_); trivial. % 1.22/1.37 apply (zenon_L298_); trivial. % 1.22/1.37 apply (zenon_L335_); trivial. % 1.22/1.37 (* end of lemma zenon_L627_ *) % 1.22/1.37 assert (zenon_L628_ : ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (~(c2_1 (a6))) -> (~(c3_1 (a18))) -> (c2_1 (a18)) -> (c0_1 (a18)) -> (ndr1_0) -> (forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10)))))) -> (~(hskp19)) -> False). % 1.22/1.37 do 0 intro. intros zenon_H14a zenon_H256 zenon_H255 zenon_H254 zenon_Hc1 zenon_Hc2 zenon_He0 zenon_H1a zenon_H3b zenon_H144. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_H6d | zenon_intro zenon_H14e ]. % 1.22/1.37 apply (zenon_L318_); trivial. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H1c | zenon_intro zenon_H145 ]. % 1.22/1.37 apply (zenon_L150_); trivial. % 1.22/1.37 exact (zenon_H144 zenon_H145). % 1.22/1.37 (* end of lemma zenon_L628_ *) % 1.22/1.37 assert (zenon_L629_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> (~(c3_1 (a37))) -> (forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16)))))) -> (~(c0_1 (a37))) -> (~(hskp19)) -> (c0_1 (a18)) -> (c2_1 (a18)) -> (~(c3_1 (a18))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (ndr1_0) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> False). % 1.22/1.37 do 0 intro. intros zenon_H1ee zenon_H1cf zenon_H1ab zenon_H1ce zenon_H144 zenon_He0 zenon_Hc2 zenon_Hc1 zenon_H14a zenon_H1a zenon_H254 zenon_H255 zenon_H256. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H1ee); [ zenon_intro zenon_H1e7 | zenon_intro zenon_H1ef ]. % 1.22/1.37 apply (zenon_L166_); trivial. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H3b | zenon_intro zenon_H6d ]. % 1.22/1.37 apply (zenon_L628_); trivial. % 1.22/1.37 apply (zenon_L318_); trivial. % 1.22/1.37 (* end of lemma zenon_L629_ *) % 1.22/1.37 assert (zenon_L630_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(c3_1 X17))))))) -> (~(c3_1 (a5))) -> (~(c2_1 (a5))) -> (~(c1_1 (a5))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> (c2_1 (a18)) -> (c0_1 (a18)) -> (~(c3_1 (a18))) -> (ndr1_0) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp19)) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (~(c2_1 (a6))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> False). % 1.22/1.37 do 0 intro. intros zenon_H1da zenon_H167 zenon_H2a1 zenon_H29c zenon_H289 zenon_H288 zenon_H1ee zenon_H1c2 zenon_H1c6 zenon_Hc2 zenon_He0 zenon_Hc1 zenon_H1a zenon_H14a zenon_H144 zenon_H256 zenon_H255 zenon_H254 zenon_Hd3 zenon_H1c1. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.22/1.37 apply (zenon_L339_); trivial. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H1a. zenon_intro zenon_H1d8. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1d0. zenon_intro zenon_H1d9. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1ce. zenon_intro zenon_H1cf. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H12c | zenon_intro zenon_H148 ]. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1be ]. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H1e7 | zenon_intro zenon_H2a2 ]. % 1.22/1.37 apply (zenon_L167_); trivial. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H1ab | zenon_intro zenon_H29b ]. % 1.22/1.37 apply (zenon_L629_); trivial. % 1.22/1.37 apply (zenon_L532_); trivial. % 1.22/1.37 apply (zenon_L338_); trivial. % 1.22/1.37 apply (zenon_L319_); trivial. % 1.22/1.37 (* end of lemma zenon_L630_ *) % 1.22/1.37 assert (zenon_L631_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp11)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (ndr1_0) -> (~(c3_1 (a18))) -> (c0_1 (a18)) -> (c2_1 (a18)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> (~(c1_1 (a5))) -> (~(c2_1 (a5))) -> (~(c3_1 (a5))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(c3_1 X17))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> False). % 1.22/1.37 do 0 intro. intros zenon_H17b zenon_H93 zenon_H91 zenon_H1c1 zenon_Hd3 zenon_H254 zenon_H255 zenon_H256 zenon_H14a zenon_H1a zenon_Hc1 zenon_He0 zenon_Hc2 zenon_H1c6 zenon_H1c2 zenon_H1ee zenon_H288 zenon_H289 zenon_H29c zenon_H2a1 zenon_H167 zenon_H1da. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.22/1.37 apply (zenon_L630_); trivial. % 1.22/1.37 apply (zenon_L153_); trivial. % 1.22/1.37 (* end of lemma zenon_L631_ *) % 1.22/1.37 assert (zenon_L632_ : ((ndr1_0)/\((c0_1 (a18))/\((c2_1 (a18))/\(~(c3_1 (a18)))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a19))/\((~(c1_1 (a19)))/\(~(c3_1 (a19))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp8)\/(hskp9))) -> (~(hskp9)) -> (~(hskp8)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(c3_1 X17))))))) -> (~(c3_1 (a5))) -> (~(c2_1 (a5))) -> (~(c1_1 (a5))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (~(c2_1 (a6))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> False). % 1.22/1.37 do 0 intro. intros zenon_H217 zenon_H213 zenon_H1a3 zenon_H3 zenon_Hb zenon_H95 zenon_H1da zenon_H167 zenon_H2a1 zenon_H29c zenon_H289 zenon_H288 zenon_H1ee zenon_H1c2 zenon_H1c6 zenon_H14a zenon_H256 zenon_H255 zenon_H254 zenon_Hd3 zenon_H1c1 zenon_H93 zenon_H17b. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H1a. zenon_intro zenon_H218. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_He0. zenon_intro zenon_H219. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_Hc2. zenon_intro zenon_Hc1. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H91 | zenon_intro zenon_He5 ]. % 1.22/1.37 apply (zenon_L631_); trivial. % 1.22/1.37 apply (zenon_and_s _ _ zenon_He5). zenon_intro zenon_H1a. zenon_intro zenon_He6. % 1.22/1.37 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_Hb0. zenon_intro zenon_He7. % 1.22/1.37 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hae. zenon_intro zenon_Haf. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.22/1.37 apply (zenon_L630_); trivial. % 1.22/1.37 apply (zenon_L280_); trivial. % 1.22/1.37 (* end of lemma zenon_L632_ *) % 1.22/1.37 assert (zenon_L633_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> (~(c1_1 (a5))) -> (~(c2_1 (a5))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp27)\/(hskp26))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (~(c2_1 (a16))) -> (~(hskp2)) -> (~(hskp14)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((hskp2)\/(hskp14))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a11))/\((c1_1 (a11))/\(c3_1 (a11)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (~(c2_1 (a6))) -> ((hskp25)\/((hskp17)\/(hskp21))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> (~(hskp10)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> (~(hskp1)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> False). % 1.22/1.37 do 0 intro. intros zenon_H9c zenon_H63 zenon_H15 zenon_H288 zenon_H289 zenon_H17b zenon_H1c1 zenon_H1f2 zenon_Hfc zenon_Heb zenon_Hea zenon_He9 zenon_Hfe zenon_H100 zenon_H113 zenon_H97 zenon_H167 zenon_H14a zenon_H256 zenon_H255 zenon_H254 zenon_H130 zenon_H12a zenon_H2d zenon_H43 zenon_H166 zenon_H162 zenon_Hde zenon_H177 zenon_H17a. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.22/1.37 apply (zenon_L357_); trivial. % 1.22/1.37 apply (zenon_L493_); trivial. % 1.22/1.37 (* end of lemma zenon_L633_ *) % 1.22/1.37 assert (zenon_L634_ : ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> (~(hskp1)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> ((hskp25)\/((hskp17)\/(hskp21))) -> (~(hskp17)) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> (c2_1 (a24)) -> (~(c1_1 (a24))) -> (~(c0_1 (a24))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> False). % 1.22/1.37 do 0 intro. intros zenon_H17a zenon_Hde zenon_H162 zenon_H166 zenon_H43 zenon_H2d zenon_H12a zenon_H130 zenon_H9 zenon_H254 zenon_H255 zenon_H256 zenon_H14a zenon_H167 zenon_H104 zenon_H103 zenon_H102 zenon_H177 zenon_H17b. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H128 | zenon_intro zenon_H17c ]. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.22/1.37 apply (zenon_L324_); trivial. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1a. zenon_intro zenon_H178. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H16a. zenon_intro zenon_H179. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H171. zenon_intro zenon_H168. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hd6 ]. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H43); [ zenon_intro zenon_H1b | zenon_intro zenon_H47 ]. % 1.22/1.37 apply (zenon_L322_); trivial. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H47); [ zenon_intro zenon_H31 | zenon_intro zenon_H2e ]. % 1.22/1.37 apply (zenon_L291_); trivial. % 1.22/1.37 exact (zenon_H2d zenon_H2e). % 1.22/1.37 apply (zenon_L325_); trivial. % 1.22/1.37 apply (zenon_L327_); trivial. % 1.22/1.37 (* end of lemma zenon_L634_ *) % 1.22/1.37 assert (zenon_L635_ : ((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((hskp26)\/(hskp16))) -> (~(hskp16)) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (~(c2_1 (a16))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (~(c2_1 (a6))) -> (~(hskp13)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/(hskp13))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> False). % 1.22/1.37 do 0 intro. intros zenon_H9e zenon_H17b zenon_H93 zenon_H91 zenon_Hd3 zenon_H1ff zenon_H1fd zenon_Heb zenon_Hea zenon_He9 zenon_Hfc zenon_H14a zenon_H256 zenon_H255 zenon_H254 zenon_H5 zenon_H247 zenon_H1c1. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.22/1.37 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1be ]. % 1.22/1.37 apply (zenon_L195_); trivial. % 1.22/1.37 apply (zenon_L366_); trivial. % 1.22/1.37 apply (zenon_L550_); trivial. % 1.22/1.37 (* end of lemma zenon_L635_ *) % 1.22/1.37 assert (zenon_L636_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((hskp26)\/(hskp16))) -> (~(hskp16)) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (~(c2_1 (a16))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(hskp13)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/(hskp13))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> (~(c0_1 (a24))) -> (~(c1_1 (a24))) -> (c2_1 (a24)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (~(c2_1 (a6))) -> ((hskp25)\/((hskp17)\/(hskp21))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> (~(hskp10)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> (~(hskp1)) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> False). % 1.22/1.37 do 0 intro. intros zenon_H9c zenon_H93 zenon_H91 zenon_Hd3 zenon_H1ff zenon_H1fd zenon_Heb zenon_Hea zenon_He9 zenon_Hfc zenon_H5 zenon_H247 zenon_H1c1 zenon_H17b zenon_H177 zenon_H102 zenon_H103 zenon_H104 zenon_H167 zenon_H14a zenon_H256 zenon_H255 zenon_H254 zenon_H130 zenon_H12a zenon_H2d zenon_H43 zenon_H166 zenon_H162 zenon_Hde zenon_H17a. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.22/1.37 apply (zenon_L634_); trivial. % 1.22/1.37 apply (zenon_L635_); trivial. % 1.22/1.37 (* end of lemma zenon_L636_ *) % 1.22/1.37 assert (zenon_L637_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/(hskp13))) -> (~(hskp13)) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> (~(hskp19)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(c2_1 (a16))) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (~(c1_1 (a31))) -> (c2_1 (a31)) -> (c0_1 (a31)) -> (~(hskp20)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> (~(c0_1 (a30))) -> (c1_1 (a30)) -> (~(hskp10)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (c2_1 (a24)) -> (~(c1_1 (a24))) -> (~(c0_1 (a24))) -> (ndr1_0) -> (~(hskp1)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> False). % 1.22/1.37 do 0 intro. intros zenon_H1c1 zenon_H247 zenon_H5 zenon_H254 zenon_H255 zenon_H256 zenon_H144 zenon_H14a zenon_He9 zenon_Hea zenon_Heb zenon_Hfc zenon_H95 zenon_H32 zenon_H33 zenon_H3c zenon_H1c4 zenon_H1c6 zenon_H201 zenon_H203 zenon_H2d zenon_H43 zenon_H104 zenon_H103 zenon_H102 zenon_H1a zenon_Hde zenon_H162. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1be ]. % 1.22/1.37 apply (zenon_L574_); trivial. % 1.22/1.37 apply (zenon_L366_); trivial. % 1.22/1.37 (* end of lemma zenon_L637_ *) % 1.22/1.37 assert (zenon_L638_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(c3_1 X17))))))) -> (~(hskp26)) -> (~(hskp25)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (~(c2_1 (a6))) -> (~(c1_1 (a31))) -> (forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))) -> (c2_1 (a31)) -> (c0_1 (a31)) -> (~(c0_1 (a37))) -> (~(c3_1 (a37))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> (ndr1_0) -> (~(c1_1 (a5))) -> (~(c2_1 (a5))) -> (~(c3_1 (a5))) -> False). % 1.22/1.37 do 0 intro. intros zenon_H2a1 zenon_H1b3 zenon_H12c zenon_H1c2 zenon_H256 zenon_H255 zenon_H254 zenon_H32 zenon_H31 zenon_H33 zenon_H3c zenon_H1ce zenon_H1cf zenon_H1ee zenon_H1a zenon_H288 zenon_H289 zenon_H29c. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H1e7 | zenon_intro zenon_H2a2 ]. % 1.22/1.37 apply (zenon_L167_); trivial. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H1ab | zenon_intro zenon_H29b ]. % 1.22/1.37 apply (zenon_L369_); trivial. % 1.22/1.37 apply (zenon_L532_); trivial. % 1.22/1.37 (* end of lemma zenon_L638_ *) % 1.22/1.37 assert (zenon_L639_ : ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> (c2_1 (a24)) -> (~(c1_1 (a24))) -> (~(c0_1 (a24))) -> (c1_1 (a37)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (~(c3_1 (a5))) -> (~(c2_1 (a5))) -> (~(c1_1 (a5))) -> (ndr1_0) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> (~(c3_1 (a37))) -> (~(c0_1 (a37))) -> (c0_1 (a31)) -> (c2_1 (a31)) -> (~(c1_1 (a31))) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> (~(hskp25)) -> (~(hskp26)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(c3_1 X17))))))) -> (~(hskp1)) -> False). % 1.22/1.37 do 0 intro. intros zenon_H162 zenon_H104 zenon_H103 zenon_H102 zenon_H1d0 zenon_H95 zenon_H29c zenon_H289 zenon_H288 zenon_H1a zenon_H1ee zenon_H1cf zenon_H1ce zenon_H3c zenon_H33 zenon_H32 zenon_H254 zenon_H255 zenon_H256 zenon_H1c2 zenon_H12c zenon_H1b3 zenon_H2a1 zenon_Hde. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H165 ]. % 1.22/1.37 apply (zenon_L310_); trivial. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H31 | zenon_intro zenon_Hdf ]. % 1.22/1.37 apply (zenon_L638_); trivial. % 1.22/1.37 exact (zenon_Hde zenon_Hdf). % 1.22/1.37 (* end of lemma zenon_L639_ *) % 1.22/1.37 assert (zenon_L640_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/(hskp13))) -> (~(hskp13)) -> (~(hskp19)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(c2_1 (a16))) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (c1_1 (a37)) -> (~(c3_1 (a37))) -> (~(c0_1 (a37))) -> (c2_1 (a24)) -> (~(c1_1 (a24))) -> (~(c0_1 (a24))) -> (ndr1_0) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(c3_1 X17))))))) -> (~(c3_1 (a5))) -> (~(c2_1 (a5))) -> (~(c1_1 (a5))) -> (~(c1_1 (a31))) -> (c2_1 (a31)) -> (c0_1 (a31)) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> (~(hskp25)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> (~(hskp1)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> False). % 1.22/1.37 do 0 intro. intros zenon_H1c1 zenon_H247 zenon_H5 zenon_H144 zenon_H14a zenon_He9 zenon_Hea zenon_Heb zenon_Hfc zenon_H95 zenon_H1d0 zenon_H1cf zenon_H1ce zenon_H104 zenon_H103 zenon_H102 zenon_H1a zenon_H2a1 zenon_H29c zenon_H289 zenon_H288 zenon_H32 zenon_H33 zenon_H3c zenon_H254 zenon_H255 zenon_H256 zenon_H1ee zenon_H12c zenon_H1c2 zenon_Hde zenon_H162. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1be ]. % 1.22/1.37 apply (zenon_L639_); trivial. % 1.22/1.37 apply (zenon_L366_); trivial. % 1.22/1.37 (* end of lemma zenon_L640_ *) % 1.22/1.37 assert (zenon_L641_ : ((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (~(c2_1 (a6))) -> (c0_1 (a31)) -> (c2_1 (a31)) -> (~(c1_1 (a31))) -> (~(c1_1 (a5))) -> (~(c2_1 (a5))) -> (~(c3_1 (a5))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(c3_1 X17))))))) -> (~(c0_1 (a24))) -> (~(c1_1 (a24))) -> (c2_1 (a24)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (~(c2_1 (a16))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp19)) -> (~(hskp13)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/(hskp13))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> False). % 1.22/1.37 do 0 intro. intros zenon_H1d7 zenon_H167 zenon_H162 zenon_Hde zenon_H1c2 zenon_H1ee zenon_H256 zenon_H255 zenon_H254 zenon_H3c zenon_H33 zenon_H32 zenon_H288 zenon_H289 zenon_H29c zenon_H2a1 zenon_H102 zenon_H103 zenon_H104 zenon_H95 zenon_Hfc zenon_Heb zenon_Hea zenon_He9 zenon_H14a zenon_H144 zenon_H5 zenon_H247 zenon_H1c1. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H1a. zenon_intro zenon_H1d8. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1d0. zenon_intro zenon_H1d9. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1ce. zenon_intro zenon_H1cf. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H12c | zenon_intro zenon_H148 ]. % 1.22/1.37 apply (zenon_L640_); trivial. % 1.22/1.37 apply (zenon_L319_); trivial. % 1.22/1.37 (* end of lemma zenon_L641_ *) % 1.22/1.37 assert (zenon_L642_ : ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (c3_1 (a33)) -> (c2_1 (a33)) -> (~(c0_1 (a33))) -> (c0_1 (a31)) -> (c2_1 (a31)) -> (~(c1_1 (a31))) -> (~(hskp11)) -> (~(hskp10)) -> (~(c0_1 (a30))) -> (c1_1 (a30)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z))))) -> (ndr1_0) -> (~(c0_1 (a24))) -> (~(c1_1 (a24))) -> (c2_1 (a24)) -> False). % 1.22/1.37 do 0 intro. intros zenon_H95 zenon_H93 zenon_H171 zenon_H16a zenon_H168 zenon_H3c zenon_H33 zenon_H32 zenon_H91 zenon_H2d zenon_H201 zenon_H203 zenon_H43 zenon_Hb8 zenon_H1a zenon_H102 zenon_H103 zenon_H104. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H65 | zenon_intro zenon_H96 ]. % 1.22/1.37 apply (zenon_L107_); trivial. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H7f | zenon_intro zenon_H31 ]. % 1.22/1.37 apply (zenon_L498_); trivial. % 1.22/1.37 apply (zenon_L291_); trivial. % 1.22/1.37 (* end of lemma zenon_L642_ *) % 1.22/1.37 assert (zenon_L643_ : ((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> (~(hskp1)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp10)) -> (~(c1_1 (a31))) -> (c2_1 (a31)) -> (c0_1 (a31)) -> (~(hskp11)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (c2_1 (a24)) -> (~(c1_1 (a24))) -> (~(c0_1 (a24))) -> (c1_1 (a30)) -> (~(c0_1 (a30))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> False). % 1.22/1.37 do 0 intro. intros zenon_H176 zenon_H177 zenon_Hde zenon_H162 zenon_H43 zenon_H2d zenon_H32 zenon_H33 zenon_H3c zenon_H91 zenon_H93 zenon_H104 zenon_H103 zenon_H102 zenon_H203 zenon_H201 zenon_H95. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1a. zenon_intro zenon_H178. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H16a. zenon_intro zenon_H179. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H171. zenon_intro zenon_H168. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hd6 ]. % 1.22/1.37 apply (zenon_L642_); trivial. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H165 ]. % 1.22/1.37 apply (zenon_L642_); trivial. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H31 | zenon_intro zenon_Hdf ]. % 1.22/1.37 apply (zenon_L92_); trivial. % 1.22/1.37 exact (zenon_Hde zenon_Hdf). % 1.22/1.37 (* end of lemma zenon_L643_ *) % 1.22/1.37 assert (zenon_L644_ : ((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (~(c2_1 (a6))) -> (~(hskp10)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(c3_1 (a22))) -> (~(c2_1 (a22))) -> (~(c0_1 (a22))) -> (~(hskp0)) -> ((hskp24)\/((hskp23)\/(hskp0))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((hskp2)\/(hskp14))) -> (~(hskp14)) -> (~(hskp2)) -> (~(c2_1 (a5))) -> (~(c1_1 (a5))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(hskp0))) -> (~(c0_1 (a30))) -> (~(c2_1 (a30))) -> (c1_1 (a30)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c3_1 W)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53))))))) -> False). % 1.22/1.37 do 0 intro. intros zenon_H9e zenon_H17b zenon_H48 zenon_H1ee zenon_H14a zenon_H256 zenon_H255 zenon_H254 zenon_H2d zenon_H43 zenon_H81 zenon_H89 zenon_H80 zenon_H15 zenon_H17 zenon_H113 zenon_H100 zenon_Hfe zenon_H289 zenon_H288 zenon_H63 zenon_H201 zenon_H202 zenon_H203 zenon_H93 zenon_H91 zenon_H95 zenon_H277 zenon_H9d. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.22/1.37 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H13 | zenon_intro zenon_Ha1 ]. % 1.22/1.37 apply (zenon_L383_); trivial. % 1.22/1.37 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H1a. zenon_intro zenon_Ha2. % 1.22/1.37 apply (zenon_and_s _ _ zenon_Ha2). zenon_intro zenon_H4d. zenon_intro zenon_Ha3. % 1.22/1.37 apply (zenon_and_s _ _ zenon_Ha3). zenon_intro zenon_H4a. zenon_intro zenon_H4c. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H4b | zenon_intro zenon_H278 ]. % 1.22/1.37 apply (zenon_L492_); trivial. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H1e7 | zenon_intro zenon_H69 ]. % 1.22/1.37 apply (zenon_L221_); trivial. % 1.22/1.37 apply (zenon_L373_); trivial. % 1.22/1.37 apply (zenon_L335_); trivial. % 1.22/1.37 (* end of lemma zenon_L644_ *) % 1.22/1.37 assert (zenon_L645_ : ((ndr1_0)/\((~(c0_1 (a22)))/\((~(c2_1 (a22)))/\(~(c3_1 (a22)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a24))/\((~(c0_1 (a24)))/\(~(c1_1 (a24))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(c3_1 X17))))))) -> (~(c3_1 (a5))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((hskp2)\/(hskp14))) -> (~(hskp2)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(c2_1 (a16))) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((hskp26)\/(hskp16))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> (~(hskp1)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> ((hskp25)\/((hskp17)\/(hskp21))) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a11))/\((c1_1 (a11))/\(c3_1 (a11)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp27)\/(hskp26))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c3_1 W)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (~(hskp11)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(hskp0))) -> (~(c1_1 (a5))) -> (~(c2_1 (a5))) -> ((hskp24)\/((hskp23)\/(hskp0))) -> (~(hskp0)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a30))/\((~(c0_1 (a30)))/\(~(c2_1 (a30))))))) -> False). % 1.22/1.37 do 0 intro. intros zenon_H284 zenon_H112 zenon_H2a1 zenon_H29c zenon_H1c1 zenon_H113 zenon_Hfe zenon_Hfc zenon_He9 zenon_Hea zenon_Heb zenon_H1ff zenon_H17a zenon_H177 zenon_Hde zenon_H162 zenon_H166 zenon_H43 zenon_H2d zenon_H12a zenon_H130 zenon_H254 zenon_H255 zenon_H256 zenon_H14a zenon_H167 zenon_H97 zenon_H1f2 zenon_H17b zenon_H9d zenon_H277 zenon_H95 zenon_H91 zenon_H93 zenon_H63 zenon_H288 zenon_H289 zenon_H17 zenon_H15 zenon_H1ee zenon_H48 zenon_H9c zenon_H20a. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H284). zenon_intro zenon_H1a. zenon_intro zenon_H285. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_H80. zenon_intro zenon_H286. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H286). zenon_intro zenon_H89. zenon_intro zenon_H81. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_H100 | zenon_intro zenon_H10d ]. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H20a); [ zenon_intro zenon_H1fd | zenon_intro zenon_H20b ]. % 1.22/1.37 apply (zenon_L196_); trivial. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H20b). zenon_intro zenon_H1a. zenon_intro zenon_H20c. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H20c). zenon_intro zenon_H203. zenon_intro zenon_H20d. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H20d). zenon_intro zenon_H201. zenon_intro zenon_H202. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.22/1.37 apply (zenon_L357_); trivial. % 1.22/1.37 apply (zenon_L644_); trivial. % 1.22/1.37 apply (zenon_L627_); trivial. % 1.22/1.37 (* end of lemma zenon_L645_ *) % 1.22/1.37 assert (zenon_L646_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((hskp2)\/(hskp14))) -> (~(hskp14)) -> (~(hskp2)) -> (~(c2_1 (a16))) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (ndr1_0) -> (~(c3_1 (a18))) -> (c0_1 (a18)) -> (c2_1 (a18)) -> (~(hskp20)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> False). % 1.22/1.37 do 0 intro. intros zenon_H1c1 zenon_H113 zenon_H100 zenon_Hfe zenon_He9 zenon_Hea zenon_Heb zenon_Hfc zenon_H1a zenon_Hc1 zenon_He0 zenon_Hc2 zenon_H1c4 zenon_H1c6. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1be ]. % 1.22/1.37 apply (zenon_L197_); trivial. % 1.22/1.37 apply (zenon_L174_); trivial. % 1.22/1.37 (* end of lemma zenon_L646_ *) % 1.22/1.37 assert (zenon_L647_ : ((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a11))/\((c1_1 (a11))/\(c3_1 (a11)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(c1_1 (a19))) -> (~(c3_1 (a19))) -> (c2_1 (a19)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp27)\/(hskp26))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> (c2_1 (a18)) -> (c0_1 (a18)) -> (~(c3_1 (a18))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (~(c2_1 (a16))) -> (~(hskp2)) -> (~(hskp14)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((hskp2)\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> False). % 1.22/1.37 do 0 intro. intros zenon_H176 zenon_H1da zenon_H167 zenon_H1f0 zenon_H254 zenon_H255 zenon_H256 zenon_H97 zenon_H1ee zenon_Hd3 zenon_Hae zenon_Haf zenon_Hb0 zenon_H1c2 zenon_H1f2 zenon_H95 zenon_H1c6 zenon_Hc2 zenon_He0 zenon_Hc1 zenon_Hfc zenon_Heb zenon_Hea zenon_He9 zenon_Hfe zenon_H100 zenon_H113 zenon_H1c1. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1a. zenon_intro zenon_H178. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H16a. zenon_intro zenon_H179. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H171. zenon_intro zenon_H168. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.22/1.37 apply (zenon_L646_); trivial. % 1.22/1.37 apply (zenon_L436_); trivial. % 1.22/1.37 (* end of lemma zenon_L647_ *) % 1.22/1.37 assert (zenon_L648_ : ((ndr1_0)/\((c2_1 (a24))/\((~(c0_1 (a24)))/\(~(c1_1 (a24)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (~(c1_1 (a19))) -> (~(c3_1 (a19))) -> (c2_1 (a19)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(c3_1 (a18))) -> (c0_1 (a18)) -> (c2_1 (a18)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> (~(c1_1 (a5))) -> (~(c2_1 (a5))) -> (~(c3_1 (a5))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(c3_1 X17))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> False). % 1.22/1.37 do 0 intro. intros zenon_H10d zenon_H17b zenon_H177 zenon_H95 zenon_Hae zenon_Haf zenon_Hb0 zenon_H1c1 zenon_Hd3 zenon_H254 zenon_H255 zenon_H256 zenon_H14a zenon_Hc1 zenon_He0 zenon_Hc2 zenon_H1c6 zenon_H1c2 zenon_H1ee zenon_H288 zenon_H289 zenon_H29c zenon_H2a1 zenon_H167 zenon_H1da. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_H1a. zenon_intro zenon_H10f. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H104. zenon_intro zenon_H110. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_H102. zenon_intro zenon_H103. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.22/1.37 apply (zenon_L630_); trivial. % 1.22/1.37 apply (zenon_L313_); trivial. % 1.22/1.37 (* end of lemma zenon_L648_ *) % 1.22/1.37 assert (zenon_L649_ : ((ndr1_0)/\((c0_1 (a18))/\((c2_1 (a18))/\(~(c3_1 (a18)))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a19))/\((~(c1_1 (a19)))/\(~(c3_1 (a19))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a24))/\((~(c0_1 (a24)))/\(~(c1_1 (a24))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((hskp2)\/(hskp14))) -> (~(hskp2)) -> (~(c2_1 (a16))) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp27)\/(hskp26))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a11))/\((c1_1 (a11))/\(c3_1 (a11)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(c3_1 X17))))))) -> (~(c3_1 (a5))) -> (~(c2_1 (a5))) -> (~(c1_1 (a5))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (~(c2_1 (a6))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> False). % 1.22/1.37 do 0 intro. intros zenon_H217 zenon_H213 zenon_H112 zenon_H177 zenon_H113 zenon_Hfe zenon_He9 zenon_Hea zenon_Heb zenon_Hfc zenon_H95 zenon_H1f2 zenon_H97 zenon_H1f0 zenon_H1da zenon_H167 zenon_H2a1 zenon_H29c zenon_H289 zenon_H288 zenon_H1ee zenon_H1c2 zenon_H1c6 zenon_H14a zenon_H256 zenon_H255 zenon_H254 zenon_Hd3 zenon_H1c1 zenon_H93 zenon_H17b. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H1a. zenon_intro zenon_H218. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_He0. zenon_intro zenon_H219. % 1.22/1.37 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_Hc2. zenon_intro zenon_Hc1. % 1.22/1.37 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H91 | zenon_intro zenon_He5 ]. % 1.22/1.38 apply (zenon_L631_); trivial. % 1.22/1.38 apply (zenon_and_s _ _ zenon_He5). zenon_intro zenon_H1a. zenon_intro zenon_He6. % 1.22/1.38 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_Hb0. zenon_intro zenon_He7. % 1.22/1.38 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hae. zenon_intro zenon_Haf. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_H100 | zenon_intro zenon_H10d ]. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.22/1.38 apply (zenon_L630_); trivial. % 1.22/1.38 apply (zenon_L647_); trivial. % 1.22/1.38 apply (zenon_L648_); trivial. % 1.22/1.38 (* end of lemma zenon_L649_ *) % 1.22/1.38 assert (zenon_L650_ : ((ndr1_0)/\((~(c0_1 (a22)))/\((~(c2_1 (a22)))/\(~(c3_1 (a22)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a24))/\((~(c0_1 (a24)))/\(~(c1_1 (a24))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp0)) -> ((hskp24)\/((hskp23)\/(hskp0))) -> (~(hskp11)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(hskp0))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(c3_1 X17))))))) -> (~(c3_1 (a5))) -> (~(c2_1 (a5))) -> (~(c1_1 (a5))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (~(c2_1 (a6))) -> (~(hskp10)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp1)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (c0_1 (a15)) -> (~(hskp2)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((hskp2)\/(hskp14))) -> False). % 1.22/1.38 do 0 intro. intros zenon_H284 zenon_H112 zenon_H9c zenon_H17b zenon_H48 zenon_H1ee zenon_H14a zenon_H15 zenon_H17 zenon_H91 zenon_H93 zenon_H95 zenon_H63 zenon_H9d zenon_H2a1 zenon_H29c zenon_H289 zenon_H288 zenon_H12a zenon_H256 zenon_H255 zenon_H254 zenon_H2d zenon_H43 zenon_Hde zenon_H162 zenon_H17a zenon_H115 zenon_H116 zenon_H117 zenon_Hfe zenon_H113. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H284). zenon_intro zenon_H1a. zenon_intro zenon_H285. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_H80. zenon_intro zenon_H286. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H286). zenon_intro zenon_H89. zenon_intro zenon_H81. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_H100 | zenon_intro zenon_H10d ]. % 1.22/1.38 apply (zenon_L74_); trivial. % 1.22/1.38 apply (zenon_L627_); trivial. % 1.22/1.38 (* end of lemma zenon_L650_ *) % 1.22/1.38 assert (zenon_L651_ : ((ndr1_0)/\((c0_1 (a18))/\((c2_1 (a18))/\(~(c3_1 (a18)))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a19))/\((~(c1_1 (a19)))/\(~(c3_1 (a19))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a24))/\((~(c0_1 (a24)))/\(~(c1_1 (a24))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (c0_1 (a15)) -> (~(hskp2)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((hskp2)\/(hskp14))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(c3_1 X17))))))) -> (~(c3_1 (a5))) -> (~(c2_1 (a5))) -> (~(c1_1 (a5))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (~(c2_1 (a6))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> False). % 1.22/1.38 do 0 intro. intros zenon_H217 zenon_H213 zenon_H112 zenon_H177 zenon_H95 zenon_H115 zenon_H116 zenon_H117 zenon_Hfe zenon_H113 zenon_H1da zenon_H167 zenon_H2a1 zenon_H29c zenon_H289 zenon_H288 zenon_H1ee zenon_H1c2 zenon_H1c6 zenon_H14a zenon_H256 zenon_H255 zenon_H254 zenon_Hd3 zenon_H1c1 zenon_H93 zenon_H17b. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H1a. zenon_intro zenon_H218. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_He0. zenon_intro zenon_H219. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_Hc2. zenon_intro zenon_Hc1. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H91 | zenon_intro zenon_He5 ]. % 1.22/1.38 apply (zenon_L631_); trivial. % 1.22/1.38 apply (zenon_and_s _ _ zenon_He5). zenon_intro zenon_H1a. zenon_intro zenon_He6. % 1.22/1.38 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_Hb0. zenon_intro zenon_He7. % 1.22/1.38 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hae. zenon_intro zenon_Haf. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_H100 | zenon_intro zenon_H10d ]. % 1.22/1.38 apply (zenon_L74_); trivial. % 1.22/1.38 apply (zenon_L648_); trivial. % 1.22/1.38 (* end of lemma zenon_L651_ *) % 1.22/1.38 assert (zenon_L652_ : ((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/(hskp13))) -> (c0_1 (a15)) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> (~(hskp19)) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp13)) -> False). % 1.22/1.38 do 0 intro. intros zenon_H1be zenon_H247 zenon_H117 zenon_H116 zenon_H115 zenon_H144 zenon_H254 zenon_H255 zenon_H256 zenon_H14a zenon_H5. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H1a. zenon_intro zenon_H1bf. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H1bf). zenon_intro zenon_H1b5. zenon_intro zenon_H1c0. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H1c0). zenon_intro zenon_H1b6. zenon_intro zenon_H1b7. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H247); [ zenon_intro zenon_Hf2 | zenon_intro zenon_H248 ]. % 1.22/1.38 apply (zenon_L73_); trivial. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H248); [ zenon_intro zenon_H243 | zenon_intro zenon_H6 ]. % 1.22/1.38 apply (zenon_L365_); trivial. % 1.22/1.38 exact (zenon_H5 zenon_H6). % 1.22/1.38 (* end of lemma zenon_L652_ *) % 1.22/1.38 assert (zenon_L653_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/(hskp13))) -> (~(hskp13)) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> (~(hskp19)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c0_1 (a15)) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (~(c1_1 (a31))) -> (c2_1 (a31)) -> (c0_1 (a31)) -> (~(hskp20)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> (~(c0_1 (a30))) -> (c1_1 (a30)) -> (~(hskp10)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (c2_1 (a24)) -> (~(c1_1 (a24))) -> (~(c0_1 (a24))) -> (ndr1_0) -> (~(hskp1)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> False). % 1.22/1.38 do 0 intro. intros zenon_H1c1 zenon_H247 zenon_H5 zenon_H254 zenon_H255 zenon_H256 zenon_H144 zenon_H14a zenon_H117 zenon_H116 zenon_H115 zenon_H95 zenon_H32 zenon_H33 zenon_H3c zenon_H1c4 zenon_H1c6 zenon_H201 zenon_H203 zenon_H2d zenon_H43 zenon_H104 zenon_H103 zenon_H102 zenon_H1a zenon_Hde zenon_H162. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1be ]. % 1.22/1.38 apply (zenon_L574_); trivial. % 1.22/1.38 apply (zenon_L652_); trivial. % 1.22/1.38 (* end of lemma zenon_L653_ *) % 1.22/1.38 assert (zenon_L654_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> (~(c1_1 (a5))) -> (~(c2_1 (a5))) -> (~(hskp2)) -> (~(hskp14)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((hskp2)\/(hskp14))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> (c3_1 (a14)) -> (c0_1 (a14)) -> (~(c2_1 (a14))) -> (ndr1_0) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> (~(hskp1)) -> ((hskp25)\/((hskp17)\/(hskp21))) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> False). % 1.22/1.38 do 0 intro. intros zenon_H9c zenon_H63 zenon_H15 zenon_H288 zenon_H289 zenon_Hfe zenon_H100 zenon_H113 zenon_H12a zenon_H121 zenon_H120 zenon_H11f zenon_H1a zenon_H166 zenon_H162 zenon_Hde zenon_H130 zenon_H254 zenon_H255 zenon_H256 zenon_H14a zenon_H167 zenon_H177 zenon_H17b zenon_H17a. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.22/1.38 apply (zenon_L411_); trivial. % 1.22/1.38 apply (zenon_L493_); trivial. % 1.22/1.38 (* end of lemma zenon_L654_ *) % 1.22/1.38 assert (zenon_L655_ : ((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(~(c3_1 (a25)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((hskp9)\/(hskp24))) -> (~(hskp9)) -> (~(c0_1 (a24))) -> (~(c1_1 (a24))) -> (c2_1 (a24)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> (c3_1 (a14)) -> (c0_1 (a14)) -> (~(c2_1 (a14))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> (~(hskp1)) -> ((hskp25)\/((hskp17)\/(hskp21))) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> False). % 1.22/1.38 do 0 intro. intros zenon_H19f zenon_H9c zenon_H7b zenon_H3 zenon_H102 zenon_H103 zenon_H104 zenon_H93 zenon_H91 zenon_Hfc zenon_Hd3 zenon_H1e0 zenon_H48 zenon_H12a zenon_H121 zenon_H120 zenon_H11f zenon_H166 zenon_H162 zenon_Hde zenon_H130 zenon_H254 zenon_H255 zenon_H256 zenon_H14a zenon_H167 zenon_H177 zenon_H17b zenon_H17a. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H1a. zenon_intro zenon_H1a0. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H18f. zenon_intro zenon_H1a1. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H19a. zenon_intro zenon_H18e. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.22/1.38 apply (zenon_L411_); trivial. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.22/1.38 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H11 | zenon_intro zenon_H41 ]. % 1.22/1.38 apply (zenon_L329_); trivial. % 1.22/1.38 apply (zenon_L429_); trivial. % 1.22/1.38 apply (zenon_L612_); trivial. % 1.22/1.38 (* end of lemma zenon_L655_ *) % 1.22/1.38 assert (zenon_L656_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(c3_1 X17))))))) -> (~(hskp26)) -> (~(hskp25)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (~(c2_1 (a6))) -> (~(c1_1 (a19))) -> (~(c3_1 (a19))) -> (c2_1 (a19)) -> (~(c0_1 (a37))) -> (~(c3_1 (a37))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> (ndr1_0) -> (~(c1_1 (a5))) -> (~(c2_1 (a5))) -> (~(c3_1 (a5))) -> False). % 1.22/1.38 do 0 intro. intros zenon_H2a1 zenon_H1b3 zenon_H12c zenon_H1c2 zenon_H256 zenon_H255 zenon_H254 zenon_Hae zenon_Haf zenon_Hb0 zenon_H1ce zenon_H1cf zenon_H1ee zenon_H1a zenon_H288 zenon_H289 zenon_H29c. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H1e7 | zenon_intro zenon_H2a2 ]. % 1.22/1.38 apply (zenon_L167_); trivial. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H1ab | zenon_intro zenon_H29b ]. % 1.22/1.38 apply (zenon_L432_); trivial. % 1.22/1.38 apply (zenon_L532_); trivial. % 1.22/1.38 (* end of lemma zenon_L656_ *) % 1.22/1.38 assert (zenon_L657_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> (~(hskp25)) -> (~(c3_1 (a37))) -> (~(c0_1 (a37))) -> (ndr1_0) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (~(c2_1 (a6))) -> (c2_1 (a19)) -> (~(c3_1 (a19))) -> (~(c1_1 (a19))) -> (~(c1_1 (a5))) -> (~(c2_1 (a5))) -> (~(c3_1 (a5))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(c3_1 X17))))))) -> False). % 1.22/1.38 do 0 intro. intros zenon_H1c1 zenon_Hd3 zenon_H1c2 zenon_H12c zenon_H1cf zenon_H1ce zenon_H1a zenon_H1ee zenon_H256 zenon_H255 zenon_H254 zenon_Hb0 zenon_Haf zenon_Hae zenon_H288 zenon_H289 zenon_H29c zenon_H2a1. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1be ]. % 1.22/1.38 apply (zenon_L656_); trivial. % 1.22/1.38 apply (zenon_L134_); trivial. % 1.22/1.38 (* end of lemma zenon_L657_ *) % 1.22/1.38 assert (zenon_L658_ : ((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp19)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(c3_1 X17))))))) -> (~(c3_1 (a5))) -> (~(c2_1 (a5))) -> (~(c1_1 (a5))) -> (~(c1_1 (a19))) -> (~(c3_1 (a19))) -> (c2_1 (a19)) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> False). % 1.22/1.38 do 0 intro. intros zenon_H1d7 zenon_H167 zenon_H14a zenon_H144 zenon_H2a1 zenon_H29c zenon_H289 zenon_H288 zenon_Hae zenon_Haf zenon_Hb0 zenon_H254 zenon_H255 zenon_H256 zenon_H1ee zenon_H1c2 zenon_Hd3 zenon_H1c1. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H1a. zenon_intro zenon_H1d8. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1d0. zenon_intro zenon_H1d9. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1ce. zenon_intro zenon_H1cf. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H12c | zenon_intro zenon_H148 ]. % 1.22/1.38 apply (zenon_L657_); trivial. % 1.22/1.38 apply (zenon_L319_); trivial. % 1.22/1.38 (* end of lemma zenon_L658_ *) % 1.22/1.38 assert (zenon_L659_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp19)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(c3_1 X17))))))) -> (~(c3_1 (a5))) -> (~(c2_1 (a5))) -> (~(c1_1 (a5))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((hskp9)\/(hskp24))) -> (~(hskp9)) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (~(c2_1 (a6))) -> (ndr1_0) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(c3_1 (a19))) -> (~(c1_1 (a19))) -> (c2_1 (a19)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> False). % 1.22/1.38 do 0 intro. intros zenon_H1da zenon_H167 zenon_H14a zenon_H144 zenon_H2a1 zenon_H29c zenon_H289 zenon_H288 zenon_H1ee zenon_H1c2 zenon_H7b zenon_H3 zenon_H256 zenon_H255 zenon_H254 zenon_H1a zenon_H177 zenon_Hd3 zenon_Haf zenon_Hae zenon_Hb0 zenon_H1c6 zenon_H1c1 zenon_H48. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.22/1.38 apply (zenon_L346_); trivial. % 1.22/1.38 apply (zenon_L658_); trivial. % 1.22/1.38 (* end of lemma zenon_L659_ *) % 1.22/1.38 assert (zenon_L660_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> (~(hskp20)) -> (c2_1 (a19)) -> (~(c1_1 (a19))) -> (~(c3_1 (a19))) -> (ndr1_0) -> (~(c3_1 (a25))) -> (c0_1 (a25)) -> (c1_1 (a25)) -> (~(hskp24)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp24))) -> False). % 1.22/1.38 do 0 intro. intros zenon_H1c1 zenon_Hd3 zenon_H1c6 zenon_H1c4 zenon_Hb0 zenon_Hae zenon_Haf zenon_H1a zenon_H18e zenon_H18f zenon_H19a zenon_H11 zenon_H1f8. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1be ]. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H1f9 ]. % 1.22/1.38 apply (zenon_L140_); trivial. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H12 ]. % 1.22/1.38 apply (zenon_L187_); trivial. % 1.22/1.38 exact (zenon_H11 zenon_H12). % 1.22/1.38 apply (zenon_L134_); trivial. % 1.22/1.38 (* end of lemma zenon_L660_ *) % 1.22/1.38 assert (zenon_L661_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp24))) -> (c1_1 (a25)) -> (c0_1 (a25)) -> (~(c3_1 (a25))) -> (ndr1_0) -> (~(c3_1 (a19))) -> (~(c1_1 (a19))) -> (c2_1 (a19)) -> (~(hskp20)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> False). % 1.22/1.38 do 0 intro. intros zenon_H48 zenon_H177 zenon_H1f8 zenon_H19a zenon_H18f zenon_H18e zenon_H1a zenon_Haf zenon_Hae zenon_Hb0 zenon_H1c4 zenon_H1c6 zenon_Hd3 zenon_H1c1. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H11 | zenon_intro zenon_H41 ]. % 1.22/1.38 apply (zenon_L660_); trivial. % 1.22/1.38 apply (zenon_L282_); trivial. % 1.22/1.38 (* end of lemma zenon_L661_ *) % 1.22/1.38 assert (zenon_L662_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp19)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(c3_1 X17))))))) -> (~(c3_1 (a5))) -> (~(c2_1 (a5))) -> (~(c1_1 (a5))) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> (c2_1 (a19)) -> (~(c1_1 (a19))) -> (~(c3_1 (a19))) -> (ndr1_0) -> (~(c3_1 (a25))) -> (c0_1 (a25)) -> (c1_1 (a25)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp24))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> False). % 1.22/1.38 do 0 intro. intros zenon_H1da zenon_H167 zenon_H14a zenon_H144 zenon_H2a1 zenon_H29c zenon_H289 zenon_H288 zenon_H254 zenon_H255 zenon_H256 zenon_H1ee zenon_H1c2 zenon_H1c1 zenon_Hd3 zenon_H1c6 zenon_Hb0 zenon_Hae zenon_Haf zenon_H1a zenon_H18e zenon_H18f zenon_H19a zenon_H1f8 zenon_H177 zenon_H48. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.22/1.38 apply (zenon_L661_); trivial. % 1.22/1.38 apply (zenon_L658_); trivial. % 1.22/1.38 (* end of lemma zenon_L662_ *) % 1.22/1.38 assert (zenon_L663_ : ((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> (~(c0_1 (a24))) -> (~(c1_1 (a24))) -> (c2_1 (a24)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> (c2_1 (a19)) -> (~(c1_1 (a19))) -> (~(c3_1 (a19))) -> (~(c3_1 (a25))) -> (c0_1 (a25)) -> (c1_1 (a25)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp24))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> False). % 1.22/1.38 do 0 intro. intros zenon_H176 zenon_H1da zenon_H102 zenon_H103 zenon_H104 zenon_H95 zenon_H1c1 zenon_Hd3 zenon_H1c6 zenon_Hb0 zenon_Hae zenon_Haf zenon_H18e zenon_H18f zenon_H19a zenon_H1f8 zenon_H177 zenon_H48. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1a. zenon_intro zenon_H178. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H16a. zenon_intro zenon_H179. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H171. zenon_intro zenon_H168. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.22/1.38 apply (zenon_L661_); trivial. % 1.22/1.38 apply (zenon_L312_); trivial. % 1.22/1.38 (* end of lemma zenon_L663_ *) % 1.22/1.38 assert (zenon_L664_ : ((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(~(c3_1 (a25)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> (~(c0_1 (a24))) -> (~(c1_1 (a24))) -> (c2_1 (a24)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp24))) -> (~(c3_1 (a19))) -> (~(c1_1 (a19))) -> (c2_1 (a19)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (~(c2_1 (a6))) -> (~(c1_1 (a5))) -> (~(c2_1 (a5))) -> (~(c3_1 (a5))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(c3_1 X17))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> False). % 1.22/1.38 do 0 intro. intros zenon_H19f zenon_H17b zenon_H102 zenon_H103 zenon_H104 zenon_H95 zenon_H48 zenon_H177 zenon_H1f8 zenon_Haf zenon_Hae zenon_Hb0 zenon_H1c6 zenon_Hd3 zenon_H1c1 zenon_H1c2 zenon_H1ee zenon_H256 zenon_H255 zenon_H254 zenon_H288 zenon_H289 zenon_H29c zenon_H2a1 zenon_H14a zenon_H167 zenon_H1da. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H1a. zenon_intro zenon_H1a0. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H18f. zenon_intro zenon_H1a1. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H19a. zenon_intro zenon_H18e. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.22/1.38 apply (zenon_L662_); trivial. % 1.22/1.38 apply (zenon_L663_); trivial. % 1.22/1.38 (* end of lemma zenon_L664_ *) % 1.22/1.38 assert (zenon_L665_ : ((ndr1_0)/\((c2_1 (a24))/\((~(c0_1 (a24)))/\(~(c1_1 (a24)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(~(c3_1 (a25))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp24))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((hskp25)\/((hskp17)\/(hskp21))) -> (~(hskp1)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> (~(c2_1 (a14))) -> (c0_1 (a14)) -> (c3_1 (a14)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(c3_1 X17))))))) -> (~(c3_1 (a5))) -> (~(c2_1 (a5))) -> (~(c1_1 (a5))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((hskp9)\/(hskp24))) -> (~(hskp9)) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (~(c2_1 (a6))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(c3_1 (a19))) -> (~(c1_1 (a19))) -> (c2_1 (a19)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> False). % 1.22/1.38 do 0 intro. intros zenon_H10d zenon_H1a2 zenon_H1f8 zenon_H17a zenon_H17b zenon_H177 zenon_H167 zenon_H149 zenon_H14a zenon_H130 zenon_Hde zenon_H162 zenon_H166 zenon_H11f zenon_H120 zenon_H121 zenon_H12a zenon_H1da zenon_H2a1 zenon_H29c zenon_H289 zenon_H288 zenon_H1ee zenon_H1c2 zenon_H7b zenon_H3 zenon_H256 zenon_H255 zenon_H254 zenon_Hd3 zenon_Haf zenon_Hae zenon_Hb0 zenon_H1c6 zenon_H1c1 zenon_H48 zenon_H95 zenon_H9c. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_H1a. zenon_intro zenon_H10f. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H104. zenon_intro zenon_H110. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_H102. zenon_intro zenon_H103. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H146 | zenon_intro zenon_H19f ]. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.22/1.38 apply (zenon_L94_); trivial. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.22/1.38 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.22/1.38 apply (zenon_L659_); trivial. % 1.22/1.38 apply (zenon_L541_); trivial. % 1.22/1.38 apply (zenon_L664_); trivial. % 1.22/1.38 (* end of lemma zenon_L665_ *) % 1.22/1.38 assert (zenon_L666_ : ((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (~(hskp15)) -> (c0_1 (a14)) -> (~(c2_1 (a14))) -> (c3_1 (a14)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (~(c2_1 (a6))) -> (c0_1 (a31)) -> (c2_1 (a31)) -> (~(c1_1 (a31))) -> (~(c1_1 (a5))) -> (~(c2_1 (a5))) -> (~(c3_1 (a5))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(c3_1 X17))))))) -> (~(c0_1 (a24))) -> (~(c1_1 (a24))) -> (c2_1 (a24)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (~(c2_1 (a16))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp19)) -> (~(hskp13)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/(hskp13))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> False). % 1.22/1.38 do 0 intro. intros zenon_H1d7 zenon_H167 zenon_H149 zenon_H146 zenon_H120 zenon_H11f zenon_H121 zenon_H162 zenon_Hde zenon_H1c2 zenon_H1ee zenon_H256 zenon_H255 zenon_H254 zenon_H3c zenon_H33 zenon_H32 zenon_H288 zenon_H289 zenon_H29c zenon_H2a1 zenon_H102 zenon_H103 zenon_H104 zenon_H95 zenon_Hfc zenon_Heb zenon_Hea zenon_He9 zenon_H14a zenon_H144 zenon_H5 zenon_H247 zenon_H1c1. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H1a. zenon_intro zenon_H1d8. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1d0. zenon_intro zenon_H1d9. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1ce. zenon_intro zenon_H1cf. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H12c | zenon_intro zenon_H148 ]. % 1.22/1.38 apply (zenon_L640_); trivial. % 1.22/1.38 apply (zenon_L86_); trivial. % 1.22/1.38 (* end of lemma zenon_L666_ *) % 1.22/1.38 assert (zenon_L667_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/(hskp13))) -> (~(hskp13)) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> (~(hskp19)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(c2_1 (a16))) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> (~(hskp20)) -> (ndr1_0) -> (~(c3_1 (a25))) -> (c0_1 (a25)) -> (c1_1 (a25)) -> (~(c1_1 (a31))) -> (c0_1 (a31)) -> (c2_1 (a31)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> False). % 1.22/1.38 do 0 intro. intros zenon_H1c1 zenon_H247 zenon_H5 zenon_H254 zenon_H255 zenon_H256 zenon_H144 zenon_H14a zenon_He9 zenon_Hea zenon_Heb zenon_H1c6 zenon_H1c4 zenon_H1a zenon_H18e zenon_H18f zenon_H19a zenon_H32 zenon_H3c zenon_H33 zenon_Hfc zenon_Hd3. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1be ]. % 1.22/1.38 apply (zenon_L379_); trivial. % 1.22/1.38 apply (zenon_L366_); trivial. % 1.22/1.38 (* end of lemma zenon_L667_ *) % 1.22/1.38 assert (zenon_L668_ : ((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp19)) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (~(c2_1 (a6))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(c1_1 (a31))) -> (c0_1 (a31)) -> (c2_1 (a31)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(hskp11)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (c2_1 (a24)) -> (~(c1_1 (a24))) -> (~(c0_1 (a24))) -> (~(c3_1 (a25))) -> (c0_1 (a25)) -> (c1_1 (a25)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp24))) -> False). % 1.22/1.38 do 0 intro. intros zenon_H1d7 zenon_H48 zenon_H1e0 zenon_H14a zenon_H144 zenon_H256 zenon_H255 zenon_H254 zenon_Hd3 zenon_H32 zenon_H3c zenon_H33 zenon_Hfc zenon_H91 zenon_H93 zenon_H95 zenon_H104 zenon_H103 zenon_H102 zenon_H18e zenon_H18f zenon_H19a zenon_H1f8. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H1a. zenon_intro zenon_H1d8. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1d0. zenon_intro zenon_H1d9. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1ce. zenon_intro zenon_H1cf. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H11 | zenon_intro zenon_H41 ]. % 1.22/1.38 apply (zenon_L542_); trivial. % 1.22/1.38 apply (zenon_L429_); trivial. % 1.22/1.38 (* end of lemma zenon_L668_ *) % 1.22/1.38 assert (zenon_L669_ : ((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/(hskp13))) -> (~(hskp13)) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(c2_1 (a16))) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> (~(c3_1 (a25))) -> (c0_1 (a25)) -> (c1_1 (a25)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp24))) -> (~(c0_1 (a24))) -> (~(c1_1 (a24))) -> (c2_1 (a24)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> False). % 1.22/1.38 do 0 intro. intros zenon_H9e zenon_H17b zenon_H1c1 zenon_H247 zenon_H5 zenon_H254 zenon_H255 zenon_H256 zenon_H14a zenon_He9 zenon_Hea zenon_Heb zenon_H1c6 zenon_H18e zenon_H18f zenon_H19a zenon_Hfc zenon_Hd3 zenon_H1f8 zenon_H102 zenon_H103 zenon_H104 zenon_H95 zenon_H93 zenon_H91 zenon_H1e0 zenon_H48 zenon_H1da. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.22/1.38 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.22/1.38 apply (zenon_L667_); trivial. % 1.22/1.38 apply (zenon_L668_); trivial. % 1.22/1.38 apply (zenon_L612_); trivial. % 1.22/1.38 (* end of lemma zenon_L669_ *) % 1.22/1.38 assert (zenon_L670_ : ((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(~(c3_1 (a25)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/(hskp13))) -> (~(hskp13)) -> (~(c2_1 (a16))) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp24))) -> (~(c0_1 (a24))) -> (~(c1_1 (a24))) -> (c2_1 (a24)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> (c3_1 (a14)) -> (c0_1 (a14)) -> (~(c2_1 (a14))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> (~(hskp1)) -> ((hskp25)\/((hskp17)\/(hskp21))) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> False). % 1.22/1.38 do 0 intro. intros zenon_H19f zenon_H9c zenon_H1c1 zenon_H247 zenon_H5 zenon_He9 zenon_Hea zenon_Heb zenon_H1c6 zenon_Hfc zenon_Hd3 zenon_H1f8 zenon_H102 zenon_H103 zenon_H104 zenon_H95 zenon_H93 zenon_H91 zenon_H1e0 zenon_H48 zenon_H1da zenon_H12a zenon_H121 zenon_H120 zenon_H11f zenon_H166 zenon_H162 zenon_Hde zenon_H130 zenon_H254 zenon_H255 zenon_H256 zenon_H14a zenon_H167 zenon_H177 zenon_H17b zenon_H17a. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H1a. zenon_intro zenon_H1a0. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H18f. zenon_intro zenon_H1a1. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H19a. zenon_intro zenon_H18e. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.22/1.38 apply (zenon_L411_); trivial. % 1.22/1.38 apply (zenon_L669_); trivial. % 1.22/1.38 (* end of lemma zenon_L670_ *) % 1.22/1.38 assert (zenon_L671_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> (~(c2_1 (a16))) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> (~(hskp2)) -> (~(hskp14)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((hskp2)\/(hskp14))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a11))/\((c1_1 (a11))/\(c3_1 (a11)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp27)\/(hskp26))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> (c2_1 (a19)) -> (~(c1_1 (a19))) -> (~(c3_1 (a19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> (~(c1_1 (a5))) -> (~(c2_1 (a5))) -> (~(c3_1 (a5))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(c3_1 X17))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> (c3_1 (a14)) -> (c0_1 (a14)) -> (~(c2_1 (a14))) -> (ndr1_0) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> (~(hskp1)) -> ((hskp25)\/((hskp17)\/(hskp21))) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> False). % 1.22/1.38 do 0 intro. intros zenon_H9c zenon_H1f0 zenon_He9 zenon_Hea zenon_Heb zenon_Hfe zenon_H100 zenon_H113 zenon_H97 zenon_H1f2 zenon_H95 zenon_H1c1 zenon_Hd3 zenon_H1c6 zenon_Hb0 zenon_Hae zenon_Haf zenon_H1c2 zenon_H1ee zenon_H288 zenon_H289 zenon_H29c zenon_H2a1 zenon_H1da zenon_H12a zenon_H121 zenon_H120 zenon_H11f zenon_H1a zenon_H166 zenon_H162 zenon_Hde zenon_H130 zenon_H254 zenon_H255 zenon_H256 zenon_H14a zenon_H167 zenon_H177 zenon_H17b zenon_H17a. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.22/1.38 apply (zenon_L411_); trivial. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.22/1.38 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.22/1.38 apply (zenon_L142_); trivial. % 1.22/1.38 apply (zenon_L658_); trivial. % 1.22/1.38 apply (zenon_L437_); trivial. % 1.22/1.38 (* end of lemma zenon_L671_ *) % 1.22/1.38 assert (zenon_L672_ : ((ndr1_0)/\((c2_1 (a24))/\((~(c0_1 (a24)))/\(~(c1_1 (a24)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(~(c3_1 (a25))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp24))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((hskp25)\/((hskp17)\/(hskp21))) -> (~(hskp1)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> (~(c2_1 (a14))) -> (c0_1 (a14)) -> (c3_1 (a14)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (~(c2_1 (a6))) -> (~(c1_1 (a5))) -> (~(c2_1 (a5))) -> (~(c3_1 (a5))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(c3_1 X17))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (~(c2_1 (a16))) -> (~(hskp13)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/(hskp13))) -> (~(c3_1 (a19))) -> (~(c1_1 (a19))) -> (c2_1 (a19)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> False). % 1.22/1.38 do 0 intro. intros zenon_H10d zenon_H1a2 zenon_H48 zenon_H1f8 zenon_H17a zenon_H17b zenon_H177 zenon_H167 zenon_H149 zenon_H14a zenon_H130 zenon_Hde zenon_H162 zenon_H166 zenon_H11f zenon_H120 zenon_H121 zenon_H12a zenon_H1da zenon_H1c2 zenon_H1ee zenon_H256 zenon_H255 zenon_H254 zenon_H288 zenon_H289 zenon_H29c zenon_H2a1 zenon_H95 zenon_Hfc zenon_Heb zenon_Hea zenon_He9 zenon_H5 zenon_H247 zenon_Haf zenon_Hae zenon_Hb0 zenon_H1c6 zenon_Hd3 zenon_H1c1 zenon_H9c. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_H1a. zenon_intro zenon_H10f. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H104. zenon_intro zenon_H110. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_H102. zenon_intro zenon_H103. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H146 | zenon_intro zenon_H19f ]. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.22/1.38 apply (zenon_L94_); trivial. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.22/1.38 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.22/1.38 apply (zenon_L142_); trivial. % 1.22/1.38 apply (zenon_L641_); trivial. % 1.22/1.38 apply (zenon_L541_); trivial. % 1.22/1.38 apply (zenon_L664_); trivial. % 1.22/1.38 (* end of lemma zenon_L672_ *) % 1.22/1.38 assert (zenon_L673_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(hskp0))) -> (~(hskp20)) -> (~(hskp26)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> (~(c0_1 (a22))) -> (~(c3_1 (a22))) -> (~(c2_1 (a22))) -> (~(c0_1 (a24))) -> (~(c1_1 (a24))) -> (c2_1 (a24)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (c2_1 (a31)) -> (c0_1 (a31)) -> (~(c1_1 (a31))) -> (ndr1_0) -> (~(hskp0)) -> False). % 1.22/1.38 do 0 intro. intros zenon_H63 zenon_H1c4 zenon_H1b3 zenon_H1c6 zenon_H80 zenon_H81 zenon_H89 zenon_H102 zenon_H103 zenon_H104 zenon_H95 zenon_H33 zenon_H3c zenon_H32 zenon_H1a zenon_H15. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H4b | zenon_intro zenon_H64 ]. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H65 | zenon_intro zenon_H96 ]. % 1.22/1.38 apply (zenon_L69_); trivial. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H7f | zenon_intro zenon_H31 ]. % 1.22/1.38 apply (zenon_L34_); trivial. % 1.22/1.38 apply (zenon_L141_); trivial. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H5f | zenon_intro zenon_H16 ]. % 1.22/1.38 apply (zenon_L26_); trivial. % 1.22/1.38 exact (zenon_H15 zenon_H16). % 1.22/1.38 (* end of lemma zenon_L673_ *) % 1.22/1.38 assert (zenon_L674_ : ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> (c2_1 (a24)) -> (~(c1_1 (a24))) -> (~(c0_1 (a24))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c0_1 (a22))) -> (~(c3_1 (a22))) -> (~(c2_1 (a22))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (c3_1 (a33)) -> (c2_1 (a33)) -> (~(c0_1 (a33))) -> (forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1)))))) -> (ndr1_0) -> (~(hskp1)) -> False). % 1.22/1.38 do 0 intro. intros zenon_H162 zenon_H104 zenon_H103 zenon_H102 zenon_H4b zenon_H80 zenon_H81 zenon_H89 zenon_H95 zenon_H171 zenon_H16a zenon_H168 zenon_Hd6 zenon_H1a zenon_Hde. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H165 ]. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H65 | zenon_intro zenon_H96 ]. % 1.22/1.38 apply (zenon_L143_); trivial. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H7f | zenon_intro zenon_H31 ]. % 1.22/1.38 apply (zenon_L34_); trivial. % 1.22/1.38 apply (zenon_L291_); trivial. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H31 | zenon_intro zenon_Hdf ]. % 1.22/1.38 apply (zenon_L92_); trivial. % 1.22/1.38 exact (zenon_Hde zenon_Hdf). % 1.22/1.38 (* end of lemma zenon_L674_ *) % 1.22/1.38 assert (zenon_L675_ : ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> (c2_1 (a33)) -> (~(c0_1 (a33))) -> (c3_1 (a33)) -> (~(hskp1)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> (ndr1_0) -> (~(c0_1 (a24))) -> (~(c1_1 (a24))) -> (c2_1 (a24)) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c0_1 (a22))) -> (~(c3_1 (a22))) -> (~(c2_1 (a22))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> False). % 1.22/1.38 do 0 intro. intros zenon_H177 zenon_H16a zenon_H168 zenon_H171 zenon_Hde zenon_H162 zenon_H1a zenon_H102 zenon_H103 zenon_H104 zenon_H4b zenon_H80 zenon_H81 zenon_H89 zenon_H95. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hd6 ]. % 1.22/1.38 apply (zenon_L292_); trivial. % 1.22/1.38 apply (zenon_L674_); trivial. % 1.22/1.38 (* end of lemma zenon_L675_ *) % 1.22/1.38 assert (zenon_L676_ : ((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(hskp0))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (~(c2_1 (a22))) -> (~(c3_1 (a22))) -> (~(c0_1 (a22))) -> (c2_1 (a24)) -> (~(c1_1 (a24))) -> (~(c0_1 (a24))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> (~(hskp1)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> (c2_1 (a31)) -> (c0_1 (a31)) -> (~(c1_1 (a31))) -> (~(hskp0)) -> False). % 1.22/1.38 do 0 intro. intros zenon_H176 zenon_H63 zenon_H95 zenon_H89 zenon_H81 zenon_H80 zenon_H104 zenon_H103 zenon_H102 zenon_H162 zenon_Hde zenon_H177 zenon_H33 zenon_H3c zenon_H32 zenon_H15. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1a. zenon_intro zenon_H178. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H16a. zenon_intro zenon_H179. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H171. zenon_intro zenon_H168. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H4b | zenon_intro zenon_H64 ]. % 1.22/1.38 apply (zenon_L675_); trivial. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H5f | zenon_intro zenon_H16 ]. % 1.22/1.38 apply (zenon_L26_); trivial. % 1.22/1.38 exact (zenon_H15 zenon_H16). % 1.22/1.38 (* end of lemma zenon_L676_ *) % 1.22/1.38 assert (zenon_L677_ : ((ndr1_0)/\((c2_1 (a24))/\((~(c0_1 (a24)))/\(~(c1_1 (a24)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (c2_1 (a19)) -> (~(c3_1 (a19))) -> (~(c1_1 (a19))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(hskp0))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (~(c2_1 (a6))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> (c3_1 (a14)) -> (c0_1 (a14)) -> (~(c2_1 (a14))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(c3_1 X17))))))) -> (~(c3_1 (a5))) -> (~(c2_1 (a5))) -> (~(c1_1 (a5))) -> (~(c3_1 (a22))) -> (~(c2_1 (a22))) -> (~(c0_1 (a22))) -> (~(hskp1)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> False). % 1.22/1.38 do 0 intro. intros zenon_H10d zenon_H9c zenon_H17b zenon_H177 zenon_H1c1 zenon_Hd3 zenon_Hb0 zenon_Haf zenon_Hae zenon_H95 zenon_H1c6 zenon_H15 zenon_H63 zenon_H1c2 zenon_H1ee zenon_H256 zenon_H255 zenon_H254 zenon_H14a zenon_H167 zenon_H1da zenon_H12a zenon_H121 zenon_H120 zenon_H11f zenon_H2a1 zenon_H29c zenon_H289 zenon_H288 zenon_H81 zenon_H89 zenon_H80 zenon_Hde zenon_H162 zenon_H17a. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_H1a. zenon_intro zenon_H10f. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H104. zenon_intro zenon_H110. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_H102. zenon_intro zenon_H103. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.22/1.38 apply (zenon_L535_); trivial. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.22/1.38 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1be ]. % 1.22/1.38 apply (zenon_L673_); trivial. % 1.22/1.38 apply (zenon_L134_); trivial. % 1.22/1.38 apply (zenon_L658_); trivial. % 1.22/1.38 apply (zenon_L676_); trivial. % 1.22/1.38 (* end of lemma zenon_L677_ *) % 1.22/1.38 assert (zenon_L678_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/(hskp13))) -> (~(hskp13)) -> (c0_1 (a15)) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> (~(hskp25)) -> (~(c3_1 (a37))) -> (~(c0_1 (a37))) -> (ndr1_0) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp10)) -> (c0_1 (a31)) -> (c2_1 (a31)) -> (~(c1_1 (a31))) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> (c1_1 (a3)) -> (c2_1 (a3)) -> (c3_1 (a3)) -> (~(hskp19)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> False). % 1.22/1.38 do 0 intro. intros zenon_H1c1 zenon_H247 zenon_H5 zenon_H117 zenon_H116 zenon_H115 zenon_H1c2 zenon_H12c zenon_H1cf zenon_H1ce zenon_H1a zenon_H43 zenon_H2d zenon_H3c zenon_H33 zenon_H32 zenon_H254 zenon_H255 zenon_H256 zenon_H1d zenon_H1e zenon_H1f zenon_H144 zenon_H14a zenon_H1ee. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1be ]. % 1.22/1.38 apply (zenon_L363_); trivial. % 1.22/1.38 apply (zenon_L652_); trivial. % 1.22/1.38 (* end of lemma zenon_L678_ *) % 1.22/1.38 assert (zenon_L679_ : ((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (~(hskp15)) -> (c0_1 (a14)) -> (~(c2_1 (a14))) -> (c3_1 (a14)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp19)) -> (~(c1_1 (a31))) -> (c2_1 (a31)) -> (c0_1 (a31)) -> (~(hskp10)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (c0_1 (a15)) -> (~(hskp13)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/(hskp13))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> (~(hskp9)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((hskp9)\/(hskp24))) -> False). % 1.22/1.38 do 0 intro. intros zenon_H1d7 zenon_H48 zenon_H167 zenon_H149 zenon_H146 zenon_H120 zenon_H11f zenon_H121 zenon_H1ee zenon_H14a zenon_H144 zenon_H32 zenon_H33 zenon_H3c zenon_H2d zenon_H43 zenon_H1c2 zenon_H115 zenon_H116 zenon_H117 zenon_H5 zenon_H247 zenon_H1c1 zenon_H254 zenon_H255 zenon_H256 zenon_H3 zenon_H7b. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H1a. zenon_intro zenon_H1d8. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1d0. zenon_intro zenon_H1d9. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1ce. zenon_intro zenon_H1cf. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H11 | zenon_intro zenon_H41 ]. % 1.22/1.38 apply (zenon_L329_); trivial. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H1a. zenon_intro zenon_H44. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H1d. zenon_intro zenon_H45. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H1e. zenon_intro zenon_H1f. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H12c | zenon_intro zenon_H148 ]. % 1.22/1.38 apply (zenon_L678_); trivial. % 1.22/1.38 apply (zenon_L86_); trivial. % 1.22/1.38 (* end of lemma zenon_L679_ *) % 1.22/1.38 assert (zenon_L680_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (c0_1 (a15)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((hskp9)\/(hskp24))) -> (~(hskp9)) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (~(c2_1 (a6))) -> (ndr1_0) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp10)) -> (~(c1_1 (a31))) -> (c2_1 (a31)) -> (c0_1 (a31)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp19)) -> (c3_1 (a14)) -> (~(c2_1 (a14))) -> (~(hskp15)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp11)) -> (c0_1 (a14)) -> (~(hskp13)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/(hskp13))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> False). % 1.22/1.38 do 0 intro. intros zenon_H1da zenon_H167 zenon_H1ee zenon_H1c2 zenon_H115 zenon_H116 zenon_H117 zenon_H7b zenon_H3 zenon_H256 zenon_H255 zenon_H254 zenon_H1a zenon_H43 zenon_H2d zenon_H32 zenon_H33 zenon_H3c zenon_H1c6 zenon_H14a zenon_H144 zenon_H121 zenon_H11f zenon_H146 zenon_H149 zenon_H93 zenon_H91 zenon_H120 zenon_H5 zenon_H247 zenon_H1c1 zenon_H48. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.22/1.38 apply (zenon_L406_); trivial. % 1.22/1.38 apply (zenon_L679_); trivial. % 1.22/1.38 (* end of lemma zenon_L680_ *) % 1.22/1.38 assert (zenon_L681_ : ((ndr1_0)/\((~(c0_1 (a22)))/\((~(c2_1 (a22)))/\(~(c3_1 (a22)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a24))/\((~(c0_1 (a24)))/\(~(c1_1 (a24))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(~(c3_1 (a25))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((hskp25)\/((hskp17)\/(hskp21))) -> (~(hskp1)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> (~(c2_1 (a14))) -> (c0_1 (a14)) -> (c3_1 (a14)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(hskp0))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp11)) -> ((hskp24)\/((hskp23)\/(hskp0))) -> (~(hskp0)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp10)) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (c0_1 (a15)) -> (~(hskp2)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((hskp2)\/(hskp14))) -> False). % 1.22/1.38 do 0 intro. intros zenon_H284 zenon_H112 zenon_H1a2 zenon_H1e0 zenon_Hd3 zenon_Hfc zenon_H1f0 zenon_H17a zenon_H17b zenon_H177 zenon_H167 zenon_H149 zenon_H14a zenon_H130 zenon_Hde zenon_H162 zenon_H166 zenon_H11f zenon_H120 zenon_H121 zenon_H12a zenon_H9d zenon_H63 zenon_H95 zenon_H93 zenon_H91 zenon_H17 zenon_H15 zenon_H43 zenon_H2d zenon_H254 zenon_H255 zenon_H256 zenon_H1ee zenon_H48 zenon_H9c zenon_H115 zenon_H116 zenon_H117 zenon_Hfe zenon_H113. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H284). zenon_intro zenon_H1a. zenon_intro zenon_H285. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_H80. zenon_intro zenon_H286. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H286). zenon_intro zenon_H89. zenon_intro zenon_H81. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_H100 | zenon_intro zenon_H10d ]. % 1.22/1.38 apply (zenon_L74_); trivial. % 1.22/1.38 apply (zenon_L431_); trivial. % 1.22/1.38 (* end of lemma zenon_L681_ *) % 1.22/1.38 assert (zenon_L682_ : ((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(~(c3_1 (a25)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/(hskp13))) -> (~(hskp13)) -> (~(c2_1 (a16))) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp24))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> (c2_1 (a24)) -> (~(c1_1 (a24))) -> (~(c0_1 (a24))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (~(c2_1 (a6))) -> ((hskp25)\/((hskp17)\/(hskp21))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> (~(hskp10)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> (~(hskp1)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> False). % 1.22/1.38 do 0 intro. intros zenon_H19f zenon_H9c zenon_H1c1 zenon_H247 zenon_H5 zenon_He9 zenon_Hea zenon_Heb zenon_H1c6 zenon_Hfc zenon_Hd3 zenon_H1f8 zenon_H95 zenon_H1e0 zenon_H48 zenon_H1da zenon_H17b zenon_H104 zenon_H103 zenon_H102 zenon_H93 zenon_H91 zenon_H1f0 zenon_H167 zenon_H14a zenon_H256 zenon_H255 zenon_H254 zenon_H130 zenon_H12a zenon_H2d zenon_H43 zenon_H166 zenon_H162 zenon_Hde zenon_H177 zenon_H17a. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H1a. zenon_intro zenon_H1a0. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H18f. zenon_intro zenon_H1a1. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H19a. zenon_intro zenon_H18e. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.22/1.38 apply (zenon_L425_); trivial. % 1.22/1.38 apply (zenon_L669_); trivial. % 1.22/1.38 (* end of lemma zenon_L682_ *) % 1.22/1.38 assert (zenon_L683_ : ((ndr1_0)/\((~(c0_1 (a22)))/\((~(c2_1 (a22)))/\(~(c3_1 (a22)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a24))/\((~(c0_1 (a24)))/\(~(c1_1 (a24))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (c2_1 (a19)) -> (~(c3_1 (a19))) -> (~(c1_1 (a19))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(hskp0))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (~(c2_1 (a6))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> (c3_1 (a14)) -> (c0_1 (a14)) -> (~(c2_1 (a14))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(c3_1 X17))))))) -> (~(c3_1 (a5))) -> (~(c2_1 (a5))) -> (~(c1_1 (a5))) -> (~(hskp1)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (c0_1 (a15)) -> (~(hskp2)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((hskp2)\/(hskp14))) -> False). % 1.22/1.38 do 0 intro. intros zenon_H284 zenon_H112 zenon_H9c zenon_H17b zenon_H177 zenon_H1c1 zenon_Hd3 zenon_Hb0 zenon_Haf zenon_Hae zenon_H95 zenon_H1c6 zenon_H15 zenon_H63 zenon_H1c2 zenon_H1ee zenon_H256 zenon_H255 zenon_H254 zenon_H14a zenon_H167 zenon_H1da zenon_H12a zenon_H121 zenon_H120 zenon_H11f zenon_H2a1 zenon_H29c zenon_H289 zenon_H288 zenon_Hde zenon_H162 zenon_H17a zenon_H115 zenon_H116 zenon_H117 zenon_Hfe zenon_H113. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H284). zenon_intro zenon_H1a. zenon_intro zenon_H285. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_H80. zenon_intro zenon_H286. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H286). zenon_intro zenon_H89. zenon_intro zenon_H81. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_H100 | zenon_intro zenon_H10d ]. % 1.22/1.38 apply (zenon_L74_); trivial. % 1.22/1.38 apply (zenon_L677_); trivial. % 1.22/1.38 (* end of lemma zenon_L683_ *) % 1.22/1.38 assert (zenon_L684_ : ((ndr1_0)/\((~(c0_1 (a21)))/\((~(c1_1 (a21)))/\(~(c2_1 (a21)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> (~(hskp8)) -> (~(hskp4)) -> ((hskp17)\/((hskp8)\/(hskp4))) -> False). % 1.22/1.38 do 0 intro. intros zenon_H1fa zenon_H9c zenon_H63 zenon_H15 zenon_Hb zenon_Hd zenon_Hf. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H1fa). zenon_intro zenon_H1a. zenon_intro zenon_H1fb. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H1fb). zenon_intro zenon_Ha4. zenon_intro zenon_H1fc. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H1fc). zenon_intro zenon_Ha5. zenon_intro zenon_Ha6. % 1.22/1.38 apply (zenon_L43_); trivial. % 1.22/1.38 (* end of lemma zenon_L684_ *) % 1.22/1.38 assert (zenon_L685_ : (forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48)))))) -> (ndr1_0) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c0_1 (a4)) -> False). % 1.22/1.38 do 0 intro. intros zenon_He8 zenon_H1a zenon_H2b9 zenon_H2ba zenon_H2bb. % 1.22/1.38 generalize (zenon_He8 (a4)). zenon_intro zenon_H2bc. % 1.22/1.38 apply (zenon_imply_s _ _ zenon_H2bc); [ zenon_intro zenon_H19 | zenon_intro zenon_H2bd ]. % 1.22/1.38 exact (zenon_H19 zenon_H1a). % 1.22/1.38 apply (zenon_or_s _ _ zenon_H2bd); [ zenon_intro zenon_H2bf | zenon_intro zenon_H2be ]. % 1.22/1.38 exact (zenon_H2b9 zenon_H2bf). % 1.22/1.38 apply (zenon_or_s _ _ zenon_H2be); [ zenon_intro zenon_H2c1 | zenon_intro zenon_H2c0 ]. % 1.22/1.38 exact (zenon_H2ba zenon_H2c1). % 1.22/1.38 exact (zenon_H2c0 zenon_H2bb). % 1.22/1.38 (* end of lemma zenon_L685_ *) % 1.22/1.38 assert (zenon_L686_ : (forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21)))))) -> (ndr1_0) -> (forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48)))))) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> False). % 1.22/1.38 do 0 intro. intros zenon_Hb9 zenon_H1a zenon_He8 zenon_H2b9 zenon_H2ba zenon_H2c2. % 1.22/1.38 generalize (zenon_Hb9 (a4)). zenon_intro zenon_H2c3. % 1.22/1.38 apply (zenon_imply_s _ _ zenon_H2c3); [ zenon_intro zenon_H19 | zenon_intro zenon_H2c4 ]. % 1.22/1.38 exact (zenon_H19 zenon_H1a). % 1.22/1.38 apply (zenon_or_s _ _ zenon_H2c4); [ zenon_intro zenon_H2bb | zenon_intro zenon_H2c5 ]. % 1.22/1.38 apply (zenon_L685_); trivial. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_H2bf | zenon_intro zenon_H2c6 ]. % 1.22/1.38 exact (zenon_H2b9 zenon_H2bf). % 1.22/1.38 exact (zenon_H2c6 zenon_H2c2). % 1.22/1.38 (* end of lemma zenon_L686_ *) % 1.22/1.38 assert (zenon_L687_ : (forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11)))))) -> (ndr1_0) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> False). % 1.22/1.38 do 0 intro. intros zenon_Hf3 zenon_H1a zenon_H2b9 zenon_H2ba zenon_H2c2. % 1.22/1.38 generalize (zenon_Hf3 (a4)). zenon_intro zenon_H2c7. % 1.22/1.38 apply (zenon_imply_s _ _ zenon_H2c7); [ zenon_intro zenon_H19 | zenon_intro zenon_H2c8 ]. % 1.22/1.38 exact (zenon_H19 zenon_H1a). % 1.22/1.38 apply (zenon_or_s _ _ zenon_H2c8); [ zenon_intro zenon_H2bf | zenon_intro zenon_H2c9 ]. % 1.22/1.38 exact (zenon_H2b9 zenon_H2bf). % 1.22/1.38 apply (zenon_or_s _ _ zenon_H2c9); [ zenon_intro zenon_H2c1 | zenon_intro zenon_H2c6 ]. % 1.22/1.38 exact (zenon_H2ba zenon_H2c1). % 1.22/1.38 exact (zenon_H2c6 zenon_H2c2). % 1.22/1.38 (* end of lemma zenon_L687_ *) % 1.22/1.38 assert (zenon_L688_ : ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21)))))) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> (ndr1_0) -> (c0_1 (a10)) -> (c2_1 (a10)) -> (c3_1 (a10)) -> False). % 1.22/1.38 do 0 intro. intros zenon_Hfc zenon_Hb9 zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_H1a zenon_H1b5 zenon_H1b6 zenon_H1b7. % 1.22/1.38 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfd ]. % 1.22/1.38 apply (zenon_L686_); trivial. % 1.22/1.38 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hf3 | zenon_intro zenon_Hcd ]. % 1.22/1.38 apply (zenon_L687_); trivial. % 1.22/1.38 apply (zenon_L133_); trivial. % 1.22/1.38 (* end of lemma zenon_L688_ *) % 1.22/1.38 assert (zenon_L689_ : ((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp5))) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(c3_1 (a18))) -> (c2_1 (a18)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(hskp5)) -> False). % 1.22/1.38 do 0 intro. intros zenon_H1be zenon_Hdc zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_Hfc zenon_Hc1 zenon_Hc2 zenon_Hd3 zenon_Hd4. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H1a. zenon_intro zenon_H1bf. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H1bf). zenon_intro zenon_H1b5. zenon_intro zenon_H1c0. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H1c0). zenon_intro zenon_H1b6. zenon_intro zenon_H1b7. % 1.22/1.38 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hdd ]. % 1.22/1.38 apply (zenon_L688_); trivial. % 1.22/1.38 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hd5 ]. % 1.22/1.38 apply (zenon_L199_); trivial. % 1.22/1.38 exact (zenon_Hd4 zenon_Hd5). % 1.22/1.38 (* end of lemma zenon_L689_ *) % 1.22/1.38 assert (zenon_L690_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (ndr1_0) -> (~(c3_1 (a18))) -> (c0_1 (a18)) -> (c2_1 (a18)) -> (~(hskp20)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> False). % 1.22/1.38 do 0 intro. intros zenon_H1c1 zenon_Hdc zenon_Hd4 zenon_Hd3 zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_Hfc zenon_H1a zenon_Hc1 zenon_He0 zenon_Hc2 zenon_H1c4 zenon_H1c6. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1be ]. % 1.22/1.38 apply (zenon_L197_); trivial. % 1.22/1.38 apply (zenon_L689_); trivial. % 1.22/1.38 (* end of lemma zenon_L690_ *) % 1.22/1.38 assert (zenon_L691_ : (forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21)))))) -> (ndr1_0) -> (~(c0_1 (a37))) -> (forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16)))))) -> (~(c3_1 (a37))) -> (c1_1 (a37)) -> False). % 1.22/1.38 do 0 intro. intros zenon_Hb9 zenon_H1a zenon_H1ce zenon_H1ab zenon_H1cf zenon_H1d0. % 1.22/1.38 generalize (zenon_Hb9 (a37)). zenon_intro zenon_H2ca. % 1.22/1.38 apply (zenon_imply_s _ _ zenon_H2ca); [ zenon_intro zenon_H19 | zenon_intro zenon_H2cb ]. % 1.22/1.38 exact (zenon_H19 zenon_H1a). % 1.22/1.38 apply (zenon_or_s _ _ zenon_H2cb); [ zenon_intro zenon_H1d4 | zenon_intro zenon_H2cc ]. % 1.22/1.38 exact (zenon_H1ce zenon_H1d4). % 1.22/1.38 apply (zenon_or_s _ _ zenon_H2cc); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H1d5 ]. % 1.22/1.38 apply (zenon_L165_); trivial. % 1.22/1.38 exact (zenon_H1d5 zenon_H1d0). % 1.22/1.38 (* end of lemma zenon_L691_ *) % 1.22/1.38 assert (zenon_L692_ : ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> (c1_1 (a37)) -> (~(c3_1 (a37))) -> (~(c0_1 (a37))) -> (ndr1_0) -> (forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21)))))) -> (~(hskp25)) -> (~(hskp26)) -> False). % 1.22/1.38 do 0 intro. intros zenon_H1c2 zenon_H1d0 zenon_H1cf zenon_H1ce zenon_H1a zenon_Hb9 zenon_H12c zenon_H1b3. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H1c2); [ zenon_intro zenon_H1ab | zenon_intro zenon_H1c3 ]. % 1.22/1.38 apply (zenon_L691_); trivial. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_H12d | zenon_intro zenon_H1b4 ]. % 1.22/1.38 exact (zenon_H12c zenon_H12d). % 1.22/1.38 exact (zenon_H1b3 zenon_H1b4). % 1.22/1.38 (* end of lemma zenon_L692_ *) % 1.22/1.38 assert (zenon_L693_ : ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp5))) -> (~(hskp26)) -> (~(hskp25)) -> (~(c0_1 (a37))) -> (~(c3_1 (a37))) -> (c1_1 (a37)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> (ndr1_0) -> (~(c3_1 (a18))) -> (c2_1 (a18)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(hskp7)) -> (~(hskp7)) -> (c2_1 (a31)) -> (c0_1 (a31)) -> (~(c1_1 (a31))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(hskp5)) -> False). % 1.22/1.38 do 0 intro. intros zenon_Hdc zenon_H1b3 zenon_H12c zenon_H1ce zenon_H1cf zenon_H1d0 zenon_H1c2 zenon_H1a zenon_Hc1 zenon_Hc2 zenon_Hb7 zenon_H1 zenon_H33 zenon_H3c zenon_H32 zenon_Hd3 zenon_Hd4. % 1.22/1.38 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hdd ]. % 1.22/1.38 apply (zenon_L692_); trivial. % 1.22/1.38 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hd5 ]. % 1.22/1.38 apply (zenon_L51_); trivial. % 1.22/1.38 exact (zenon_Hd4 zenon_Hd5). % 1.22/1.38 (* end of lemma zenon_L693_ *) % 1.22/1.38 assert (zenon_L694_ : ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> (c1_1 (a37)) -> (~(c3_1 (a37))) -> (~(c0_1 (a37))) -> (forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21)))))) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> (ndr1_0) -> (c0_1 (a9)) -> (c1_1 (a9)) -> (c2_1 (a9)) -> False). % 1.22/1.38 do 0 intro. intros zenon_H1f0 zenon_H1d0 zenon_H1cf zenon_H1ce zenon_Hb9 zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_H1a zenon_H13b zenon_H13c zenon_H13d. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H1ab | zenon_intro zenon_H1f1 ]. % 1.22/1.38 apply (zenon_L691_); trivial. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H1c ]. % 1.22/1.38 apply (zenon_L687_); trivial. % 1.22/1.38 apply (zenon_L83_); trivial. % 1.22/1.38 (* end of lemma zenon_L694_ *) % 1.22/1.38 assert (zenon_L695_ : ((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp5))) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> (~(c0_1 (a37))) -> (~(c3_1 (a37))) -> (c1_1 (a37)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> (~(c3_1 (a18))) -> (c2_1 (a18)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(hskp7)) -> (~(hskp7)) -> (c2_1 (a31)) -> (c0_1 (a31)) -> (~(c1_1 (a31))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(hskp5)) -> False). % 1.22/1.38 do 0 intro. intros zenon_H148 zenon_Hdc zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_H1ce zenon_H1cf zenon_H1d0 zenon_H1f0 zenon_Hc1 zenon_Hc2 zenon_Hb7 zenon_H1 zenon_H33 zenon_H3c zenon_H32 zenon_Hd3 zenon_Hd4. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H1a. zenon_intro zenon_H14b. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H13b. zenon_intro zenon_H14c. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H14c). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 1.22/1.38 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hdd ]. % 1.22/1.38 apply (zenon_L694_); trivial. % 1.22/1.38 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hd5 ]. % 1.22/1.38 apply (zenon_L51_); trivial. % 1.22/1.38 exact (zenon_Hd4 zenon_Hd5). % 1.22/1.38 (* end of lemma zenon_L695_ *) % 1.22/1.38 assert (zenon_L696_ : ((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (~(c2_1 (a16))) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> False). % 1.22/1.38 do 0 intro. intros zenon_H1be zenon_Hfc zenon_Heb zenon_Hea zenon_He9 zenon_H2c2 zenon_H2ba zenon_H2b9. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H1a. zenon_intro zenon_H1bf. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H1bf). zenon_intro zenon_H1b5. zenon_intro zenon_H1c0. % 1.22/1.38 apply (zenon_and_s _ _ zenon_H1c0). zenon_intro zenon_H1b6. zenon_intro zenon_H1b7. % 1.22/1.38 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfd ]. % 1.22/1.38 apply (zenon_L63_); trivial. % 1.22/1.38 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hf3 | zenon_intro zenon_Hcd ]. % 1.22/1.38 apply (zenon_L687_); trivial. % 1.22/1.38 apply (zenon_L133_); trivial. % 1.22/1.38 (* end of lemma zenon_L696_ *) % 1.22/1.38 assert (zenon_L697_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> (ndr1_0) -> (~(c2_1 (a16))) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> (~(hskp20)) -> (c2_1 (a31)) -> (c0_1 (a31)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> False). % 1.22/1.38 do 0 intro. intros zenon_H1c1 zenon_H1a zenon_He9 zenon_Hea zenon_Heb zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_H1c6 zenon_H1c4 zenon_H33 zenon_H3c zenon_Hfc. % 1.22/1.38 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1be ]. % 1.22/1.38 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfd ]. % 1.22/1.38 apply (zenon_L63_); trivial. % 1.22/1.38 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hf3 | zenon_intro zenon_Hcd ]. % 1.22/1.38 apply (zenon_L687_); trivial. % 1.22/1.38 apply (zenon_L378_); trivial. % 1.22/1.38 apply (zenon_L696_); trivial. % 1.22/1.38 (* end of lemma zenon_L697_ *) % 1.22/1.38 assert (zenon_L698_ : ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (~(c2_1 (a16))) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> (ndr1_0) -> (forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1)))))) -> (c1_1 (a3)) -> (c2_1 (a3)) -> (c3_1 (a3)) -> False). % 1.22/1.38 do 0 intro. intros zenon_Hfc zenon_Heb zenon_Hea zenon_He9 zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_H1a zenon_Hd6 zenon_H1d zenon_H1e zenon_H1f. % 1.22/1.38 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfd ]. % 1.22/1.38 apply (zenon_L63_); trivial. % 1.22/1.38 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hf3 | zenon_intro zenon_Hcd ]. % 1.22/1.38 apply (zenon_L687_); trivial. % 1.22/1.38 apply (zenon_L53_); trivial. % 1.22/1.38 (* end of lemma zenon_L698_ *) % 1.22/1.38 assert (zenon_L699_ : ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp27)\/(hskp26))) -> (c3_1 (a3)) -> (c2_1 (a3)) -> (c1_1 (a3)) -> (ndr1_0) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> (~(c2_1 (a16))) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(hskp27)) -> (~(hskp26)) -> False). % 1.22/1.38 do 0 intro. intros zenon_H1f2 zenon_H1f zenon_H1e zenon_H1d zenon_H1a zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_He9 zenon_Hea zenon_Heb zenon_Hfc zenon_H59 zenon_H1b3. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H1f3 ]. % 1.22/1.39 apply (zenon_L698_); trivial. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H5a | zenon_intro zenon_H1b4 ]. % 1.22/1.39 exact (zenon_H59 zenon_H5a). % 1.22/1.39 exact (zenon_H1b3 zenon_H1b4). % 1.22/1.39 (* end of lemma zenon_L699_ *) % 1.22/1.39 assert (zenon_L700_ : ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (~(c2_1 (a16))) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> (forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10)))))) -> (ndr1_0) -> (~(c1_1 (a31))) -> (c0_1 (a31)) -> (c2_1 (a31)) -> False). % 1.22/1.39 do 0 intro. intros zenon_Hfc zenon_Heb zenon_Hea zenon_He9 zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_H3b zenon_H1a zenon_H32 zenon_H3c zenon_H33. % 1.22/1.39 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfd ]. % 1.22/1.39 apply (zenon_L63_); trivial. % 1.22/1.39 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hf3 | zenon_intro zenon_Hcd ]. % 1.22/1.39 apply (zenon_L687_); trivial. % 1.22/1.39 apply (zenon_L155_); trivial. % 1.22/1.39 (* end of lemma zenon_L700_ *) % 1.22/1.39 assert (zenon_L701_ : ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (~(c2_1 (a16))) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> (forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))) -> (ndr1_0) -> (c0_1 (a11)) -> (c3_1 (a11)) -> (c1_1 (a11)) -> False). % 1.22/1.39 do 0 intro. intros zenon_Hfc zenon_Heb zenon_Hea zenon_He9 zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_H6d zenon_H1a zenon_H9b zenon_H70 zenon_H6f. % 1.22/1.39 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfd ]. % 1.22/1.39 apply (zenon_L63_); trivial. % 1.22/1.39 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hf3 | zenon_intro zenon_Hcd ]. % 1.22/1.39 apply (zenon_L687_); trivial. % 1.22/1.39 apply (zenon_L170_); trivial. % 1.22/1.39 (* end of lemma zenon_L701_ *) % 1.22/1.39 assert (zenon_L702_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp27)\/(hskp26))) -> (ndr1_0) -> (~(c2_1 (a16))) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> (c1_1 (a3)) -> (c2_1 (a3)) -> (c3_1 (a3)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> (~(hskp25)) -> (~(c3_1 (a37))) -> (~(c0_1 (a37))) -> (c2_1 (a31)) -> (c0_1 (a31)) -> (~(c1_1 (a31))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a11))/\((c1_1 (a11))/\(c3_1 (a11)))))) -> False). % 1.22/1.39 do 0 intro. intros zenon_H1c1 zenon_H1f2 zenon_H1a zenon_He9 zenon_Hea zenon_Heb zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_H1d zenon_H1e zenon_H1f zenon_Hfc zenon_H1c2 zenon_H12c zenon_H1cf zenon_H1ce zenon_H33 zenon_H3c zenon_H32 zenon_H1ee zenon_H97. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1be ]. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H98 ]. % 1.22/1.39 apply (zenon_L699_); trivial. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H98). zenon_intro zenon_H1a. zenon_intro zenon_H99. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H99). zenon_intro zenon_H9b. zenon_intro zenon_H9a. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H9a). zenon_intro zenon_H6f. zenon_intro zenon_H70. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H1ee); [ zenon_intro zenon_H1e7 | zenon_intro zenon_H1ef ]. % 1.22/1.39 apply (zenon_L167_); trivial. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H3b | zenon_intro zenon_H6d ]. % 1.22/1.39 apply (zenon_L700_); trivial. % 1.22/1.39 apply (zenon_L701_); trivial. % 1.22/1.39 apply (zenon_L696_); trivial. % 1.22/1.39 (* end of lemma zenon_L702_ *) % 1.22/1.39 assert (zenon_L703_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp6)\/(hskp10))) -> (~(hskp10)) -> (~(hskp6)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a11))/\((c1_1 (a11))/\(c3_1 (a11)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> (~(c1_1 (a31))) -> (c0_1 (a31)) -> (c2_1 (a31)) -> (~(c0_1 (a37))) -> (~(c3_1 (a37))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (~(c2_1 (a16))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp27)\/(hskp26))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> (~(hskp23)) -> (~(hskp0)) -> ((hskp24)\/((hskp23)\/(hskp0))) -> False). % 1.22/1.39 do 0 intro. intros zenon_H48 zenon_H167 zenon_H2f zenon_H2d zenon_H2b zenon_H97 zenon_H1ee zenon_H32 zenon_H3c zenon_H33 zenon_H1ce zenon_H1cf zenon_H1c2 zenon_Hfc zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_Heb zenon_Hea zenon_He9 zenon_H1f2 zenon_H1c1 zenon_H13 zenon_H15 zenon_H17. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H11 | zenon_intro zenon_H41 ]. % 1.22/1.39 apply (zenon_L12_); trivial. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H1a. zenon_intro zenon_H44. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H1d. zenon_intro zenon_H45. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H1e. zenon_intro zenon_H1f. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H12c | zenon_intro zenon_H148 ]. % 1.22/1.39 apply (zenon_L702_); trivial. % 1.22/1.39 apply (zenon_L506_); trivial. % 1.22/1.39 (* end of lemma zenon_L703_ *) % 1.22/1.39 assert (zenon_L704_ : ((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c2_1 (a31)) -> (c0_1 (a31)) -> (~(c1_1 (a31))) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (~(c2_1 (a16))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(hskp7)) -> (~(hskp7)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(hskp4)) -> False). % 1.22/1.39 do 0 intro. intros zenon_Ha1 zenon_H1a9 zenon_Hfc zenon_H33 zenon_H3c zenon_H32 zenon_Heb zenon_Hea zenon_He9 zenon_Hb7 zenon_H1 zenon_Hd3 zenon_Hd. % 1.22/1.39 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H1a. zenon_intro zenon_Ha2. % 1.22/1.39 apply (zenon_and_s _ _ zenon_Ha2). zenon_intro zenon_H4d. zenon_intro zenon_Ha3. % 1.22/1.39 apply (zenon_and_s _ _ zenon_Ha3). zenon_intro zenon_H4a. zenon_intro zenon_H4c. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H1aa ]. % 1.22/1.39 apply (zenon_L125_); trivial. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_Hf2 | zenon_intro zenon_He ]. % 1.22/1.39 apply (zenon_L66_); trivial. % 1.22/1.39 exact (zenon_Hd zenon_He). % 1.22/1.39 (* end of lemma zenon_L704_ *) % 1.22/1.39 assert (zenon_L705_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(hskp7)) -> (~(hskp7)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((hskp24)\/((hskp23)\/(hskp0))) -> (~(hskp0)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp27)\/(hskp26))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a11))/\((c1_1 (a11))/\(c3_1 (a11)))))) -> (~(hskp6)) -> (~(hskp10)) -> ((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp6)\/(hskp10))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (~(c2_1 (a16))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> (~(hskp8)) -> (~(hskp4)) -> ((hskp17)\/((hskp8)\/(hskp4))) -> False). % 1.22/1.39 do 0 intro. intros zenon_H9c zenon_H1da zenon_H9d zenon_H1a9 zenon_Hb7 zenon_H1 zenon_Hd3 zenon_H17 zenon_H15 zenon_H1f2 zenon_H1c2 zenon_H1ee zenon_H97 zenon_H2b zenon_H2d zenon_H2f zenon_H167 zenon_H48 zenon_Hfc zenon_H1c6 zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_Heb zenon_Hea zenon_He9 zenon_H1c1 zenon_Hb zenon_Hd zenon_Hf. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.22/1.39 apply (zenon_L8_); trivial. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.22/1.39 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.22/1.39 apply (zenon_L697_); trivial. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H1a. zenon_intro zenon_H1d8. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1d0. zenon_intro zenon_H1d9. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1ce. zenon_intro zenon_H1cf. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H13 | zenon_intro zenon_Ha1 ]. % 1.22/1.39 apply (zenon_L703_); trivial. % 1.22/1.39 apply (zenon_L704_); trivial. % 1.22/1.39 (* end of lemma zenon_L705_ *) % 1.22/1.39 assert (zenon_L706_ : ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21)))))) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> (ndr1_0) -> (forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1)))))) -> (c1_1 (a3)) -> (c2_1 (a3)) -> (c3_1 (a3)) -> False). % 1.22/1.39 do 0 intro. intros zenon_Hfc zenon_Hb9 zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_H1a zenon_Hd6 zenon_H1d zenon_H1e zenon_H1f. % 1.22/1.39 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfd ]. % 1.22/1.39 apply (zenon_L686_); trivial. % 1.22/1.39 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hf3 | zenon_intro zenon_Hcd ]. % 1.22/1.39 apply (zenon_L687_); trivial. % 1.22/1.39 apply (zenon_L53_); trivial. % 1.22/1.39 (* end of lemma zenon_L706_ *) % 1.22/1.39 assert (zenon_L707_ : ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp27)\/(hskp26))) -> (c3_1 (a3)) -> (c2_1 (a3)) -> (c1_1 (a3)) -> (ndr1_0) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> (forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(hskp27)) -> (~(hskp26)) -> False). % 1.22/1.39 do 0 intro. intros zenon_H1f2 zenon_H1f zenon_H1e zenon_H1d zenon_H1a zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_Hb9 zenon_Hfc zenon_H59 zenon_H1b3. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H1f3 ]. % 1.22/1.39 apply (zenon_L706_); trivial. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H5a | zenon_intro zenon_H1b4 ]. % 1.22/1.39 exact (zenon_H59 zenon_H5a). % 1.22/1.39 exact (zenon_H1b3 zenon_H1b4). % 1.22/1.39 (* end of lemma zenon_L707_ *) % 1.22/1.39 assert (zenon_L708_ : ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp27)\/(hskp26))) -> (ndr1_0) -> (forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22)))))) -> (~(c3_1 (a18))) -> (c2_1 (a18)) -> (c1_1 (a3)) -> (c2_1 (a3)) -> (c3_1 (a3)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(hskp27)) -> (~(hskp26)) -> False). % 1.22/1.39 do 0 intro. intros zenon_H1f2 zenon_H1a zenon_Hc0 zenon_Hc1 zenon_Hc2 zenon_H1d zenon_H1e zenon_H1f zenon_Hd3 zenon_H59 zenon_H1b3. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H1f3 ]. % 1.22/1.39 apply (zenon_L54_); trivial. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H5a | zenon_intro zenon_H1b4 ]. % 1.22/1.39 exact (zenon_H59 zenon_H5a). % 1.22/1.39 exact (zenon_H1b3 zenon_H1b4). % 1.22/1.39 (* end of lemma zenon_L708_ *) % 1.22/1.39 assert (zenon_L709_ : ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp5))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> (~(hskp26)) -> (~(hskp27)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (c3_1 (a3)) -> (c2_1 (a3)) -> (c1_1 (a3)) -> (c2_1 (a18)) -> (~(c3_1 (a18))) -> (ndr1_0) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp27)\/(hskp26))) -> (~(hskp5)) -> False). % 1.22/1.39 do 0 intro. intros zenon_Hdc zenon_Hfc zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_H1b3 zenon_H59 zenon_Hd3 zenon_H1f zenon_H1e zenon_H1d zenon_Hc2 zenon_Hc1 zenon_H1a zenon_H1f2 zenon_Hd4. % 1.22/1.39 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hdd ]. % 1.22/1.39 apply (zenon_L707_); trivial. % 1.22/1.39 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hd5 ]. % 1.22/1.39 apply (zenon_L708_); trivial. % 1.22/1.39 exact (zenon_Hd4 zenon_Hd5). % 1.22/1.39 (* end of lemma zenon_L709_ *) % 1.22/1.39 assert (zenon_L710_ : ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c1_1 (a11)) -> (c3_1 (a11)) -> (c0_1 (a11)) -> (forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))) -> (c2_1 (a9)) -> (c1_1 (a9)) -> (c0_1 (a9)) -> (ndr1_0) -> (~(hskp19)) -> False). % 1.22/1.39 do 0 intro. intros zenon_H14a zenon_H6f zenon_H70 zenon_H9b zenon_Hcd zenon_H13d zenon_H13c zenon_H13b zenon_H1a zenon_H144. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_H6d | zenon_intro zenon_H14e ]. % 1.22/1.39 apply (zenon_L170_); trivial. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H1c | zenon_intro zenon_H145 ]. % 1.22/1.39 apply (zenon_L83_); trivial. % 1.22/1.39 exact (zenon_H144 zenon_H145). % 1.22/1.39 (* end of lemma zenon_L710_ *) % 1.22/1.39 assert (zenon_L711_ : ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (c0_1 (a11)) -> (c3_1 (a11)) -> (c1_1 (a11)) -> (c0_1 (a9)) -> (c1_1 (a9)) -> (c2_1 (a9)) -> (~(hskp19)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c2_1 (a18)) -> (~(c3_1 (a18))) -> (forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22)))))) -> (ndr1_0) -> False). % 1.22/1.39 do 0 intro. intros zenon_Hd3 zenon_H9b zenon_H70 zenon_H6f zenon_H13b zenon_H13c zenon_H13d zenon_H144 zenon_H14a zenon_Hc2 zenon_Hc1 zenon_Hc0 zenon_H1a. % 1.22/1.39 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_Had | zenon_intro zenon_Hcd ]. % 1.22/1.39 apply (zenon_L47_); trivial. % 1.22/1.39 apply (zenon_L710_); trivial. % 1.22/1.39 (* end of lemma zenon_L711_ *) % 1.22/1.39 assert (zenon_L712_ : ((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (c2_1 (a18)) -> (~(c3_1 (a18))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c3_1 (a3)) -> (c2_1 (a3)) -> (c1_1 (a3)) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp27)\/(hskp26))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> (c1_1 (a37)) -> (~(c3_1 (a37))) -> (~(c0_1 (a37))) -> (~(hskp19)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a11))/\((c1_1 (a11))/\(c3_1 (a11)))))) -> False). % 1.22/1.39 do 0 intro. intros zenon_H148 zenon_H1c1 zenon_Hdc zenon_Hd4 zenon_Hd3 zenon_Hc2 zenon_Hc1 zenon_Hfc zenon_H1f zenon_H1e zenon_H1d zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_H1f2 zenon_H1f0 zenon_H1d0 zenon_H1cf zenon_H1ce zenon_H144 zenon_H14a zenon_H97. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H1a. zenon_intro zenon_H14b. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H13b. zenon_intro zenon_H14c. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H14c). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1be ]. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H98 ]. % 1.22/1.39 apply (zenon_L709_); trivial. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H98). zenon_intro zenon_H1a. zenon_intro zenon_H99. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H99). zenon_intro zenon_H9b. zenon_intro zenon_H9a. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H9a). zenon_intro zenon_H6f. zenon_intro zenon_H70. % 1.22/1.39 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hdd ]. % 1.22/1.39 apply (zenon_L694_); trivial. % 1.22/1.39 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hd5 ]. % 1.22/1.39 apply (zenon_L711_); trivial. % 1.22/1.39 exact (zenon_Hd4 zenon_Hd5). % 1.22/1.39 apply (zenon_L689_); trivial. % 1.22/1.39 (* end of lemma zenon_L712_ *) % 1.22/1.39 assert (zenon_L713_ : ((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp27)\/(hskp26))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> (~(hskp19)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a11))/\((c1_1 (a11))/\(c3_1 (a11)))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (c2_1 (a18)) -> (~(c3_1 (a18))) -> (c2_1 (a31)) -> (c0_1 (a31)) -> (~(c1_1 (a31))) -> (~(hskp4)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> (~(c0_1 (a37))) -> (~(c3_1 (a37))) -> (c1_1 (a37)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> False). % 1.22/1.39 do 0 intro. intros zenon_H41 zenon_H167 zenon_H1f2 zenon_H1f0 zenon_H144 zenon_H14a zenon_H97 zenon_Hdc zenon_Hd4 zenon_Hd3 zenon_Hc2 zenon_Hc1 zenon_H33 zenon_H3c zenon_H32 zenon_Hd zenon_H42 zenon_H1ce zenon_H1cf zenon_H1d0 zenon_H1c2 zenon_Hfc zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_H1c1. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H1a. zenon_intro zenon_H44. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H1d. zenon_intro zenon_H45. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H1e. zenon_intro zenon_H1f. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H12c | zenon_intro zenon_H148 ]. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1be ]. % 1.22/1.39 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hdd ]. % 1.22/1.39 apply (zenon_L692_); trivial. % 1.22/1.39 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hd5 ]. % 1.22/1.39 apply (zenon_L204_); trivial. % 1.22/1.39 exact (zenon_Hd4 zenon_Hd5). % 1.22/1.39 apply (zenon_L689_); trivial. % 1.22/1.39 apply (zenon_L712_); trivial. % 1.22/1.39 (* end of lemma zenon_L713_ *) % 1.22/1.39 assert (zenon_L714_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp27)\/(hskp26))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> (~(hskp19)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a11))/\((c1_1 (a11))/\(c3_1 (a11)))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (c2_1 (a18)) -> (~(c3_1 (a18))) -> (c2_1 (a31)) -> (c0_1 (a31)) -> (~(c1_1 (a31))) -> (~(hskp4)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> (~(c0_1 (a37))) -> (~(c3_1 (a37))) -> (c1_1 (a37)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> (~(hskp23)) -> (~(hskp0)) -> ((hskp24)\/((hskp23)\/(hskp0))) -> False). % 1.22/1.39 do 0 intro. intros zenon_H48 zenon_H167 zenon_H1f2 zenon_H1f0 zenon_H144 zenon_H14a zenon_H97 zenon_Hdc zenon_Hd4 zenon_Hd3 zenon_Hc2 zenon_Hc1 zenon_H33 zenon_H3c zenon_H32 zenon_Hd zenon_H42 zenon_H1ce zenon_H1cf zenon_H1d0 zenon_H1c2 zenon_Hfc zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_H1c1 zenon_H13 zenon_H15 zenon_H17. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H11 | zenon_intro zenon_H41 ]. % 1.22/1.39 apply (zenon_L12_); trivial. % 1.22/1.39 apply (zenon_L713_); trivial. % 1.22/1.39 (* end of lemma zenon_L714_ *) % 1.22/1.39 assert (zenon_L715_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(hskp7)) -> (~(hskp7)) -> ((hskp24)\/((hskp23)\/(hskp0))) -> (~(hskp0)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> (~(hskp4)) -> (~(c1_1 (a31))) -> (~(c3_1 (a18))) -> (c2_1 (a18)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(hskp5)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp5))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a11))/\((c1_1 (a11))/\(c3_1 (a11)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp19)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp27)\/(hskp26))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c0_1 (a31)) -> (c2_1 (a31)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (~(c2_1 (a16))) -> (ndr1_0) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> False). % 1.22/1.39 do 0 intro. intros zenon_H1da zenon_H9d zenon_H1a9 zenon_Hb7 zenon_H1 zenon_H17 zenon_H15 zenon_H1c2 zenon_H42 zenon_Hd zenon_H32 zenon_Hc1 zenon_Hc2 zenon_Hd3 zenon_Hd4 zenon_Hdc zenon_H97 zenon_H14a zenon_H144 zenon_H1f0 zenon_H1f2 zenon_H167 zenon_H48 zenon_Hfc zenon_H3c zenon_H33 zenon_H1c6 zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_Heb zenon_Hea zenon_He9 zenon_H1a zenon_H1c1. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.22/1.39 apply (zenon_L697_); trivial. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H1a. zenon_intro zenon_H1d8. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1d0. zenon_intro zenon_H1d9. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1ce. zenon_intro zenon_H1cf. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H13 | zenon_intro zenon_Ha1 ]. % 1.22/1.39 apply (zenon_L714_); trivial. % 1.22/1.39 apply (zenon_L704_); trivial. % 1.22/1.39 (* end of lemma zenon_L715_ *) % 1.22/1.39 assert (zenon_L716_ : ((~(hskp23))\/((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> (~(hskp4)) -> (c0_1 (a15)) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> ((hskp24)\/((hskp23)\/(hskp0))) -> (~(hskp0)) -> ((hskp25)\/((hskp17)\/(hskp21))) -> (~(hskp21)) -> (~(hskp17)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a11))/\((c1_1 (a11))/\(c3_1 (a11)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp19)) -> (~(c0_1 (a37))) -> (~(c3_1 (a37))) -> (c1_1 (a37)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp27)\/(hskp26))) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(c3_1 (a18))) -> (c2_1 (a18)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(hskp5)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp5))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> False). % 1.22/1.39 do 0 intro. intros zenon_H9d zenon_H1a9 zenon_Hd zenon_H117 zenon_H116 zenon_H115 zenon_H17 zenon_H15 zenon_H130 zenon_H12e zenon_H9 zenon_H97 zenon_H14a zenon_H144 zenon_H1ce zenon_H1cf zenon_H1d0 zenon_H1f0 zenon_H1f2 zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_Hfc zenon_Hc1 zenon_Hc2 zenon_Hd3 zenon_Hd4 zenon_Hdc zenon_H1c1 zenon_H167 zenon_H48. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H13 | zenon_intro zenon_Ha1 ]. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H11 | zenon_intro zenon_H41 ]. % 1.22/1.39 apply (zenon_L12_); trivial. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H1a. zenon_intro zenon_H44. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H1d. zenon_intro zenon_H45. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H1e. zenon_intro zenon_H1f. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H12c | zenon_intro zenon_H148 ]. % 1.22/1.39 apply (zenon_L81_); trivial. % 1.22/1.39 apply (zenon_L712_); trivial. % 1.22/1.39 apply (zenon_L511_); trivial. % 1.22/1.39 (* end of lemma zenon_L716_ *) % 1.22/1.39 assert (zenon_L717_ : ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (c3_1 (a42)) -> (c2_1 (a42)) -> (~(c1_1 (a42))) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6)))))) -> (c2_1 (a18)) -> (~(c3_1 (a18))) -> (forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22)))))) -> (ndr1_0) -> False). % 1.22/1.39 do 0 intro. intros zenon_Hd3 zenon_H15a zenon_H159 zenon_H158 zenon_H65 zenon_Hc2 zenon_Hc1 zenon_Hc0 zenon_H1a. % 1.22/1.39 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_Had | zenon_intro zenon_Hcd ]. % 1.22/1.39 apply (zenon_L47_); trivial. % 1.22/1.39 apply (zenon_L389_); trivial. % 1.22/1.39 (* end of lemma zenon_L717_ *) % 1.22/1.39 assert (zenon_L718_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp5))) -> (~(hskp5)) -> (~(c3_1 (a18))) -> (c2_1 (a18)) -> (~(c1_1 (a42))) -> (c2_1 (a42)) -> (c3_1 (a42)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (ndr1_0) -> (~(c0_1 (a37))) -> (~(c3_1 (a37))) -> (c1_1 (a37)) -> (~(hskp25)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> False). % 1.22/1.39 do 0 intro. intros zenon_H1c1 zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_Hfc zenon_Hdc zenon_Hd4 zenon_Hc1 zenon_Hc2 zenon_H158 zenon_H159 zenon_H15a zenon_Hd3 zenon_H1a zenon_H1ce zenon_H1cf zenon_H1d0 zenon_H12c zenon_H1c2 zenon_H95. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1be ]. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H65 | zenon_intro zenon_H96 ]. % 1.22/1.39 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hdd ]. % 1.22/1.39 apply (zenon_L692_); trivial. % 1.22/1.39 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hd5 ]. % 1.22/1.39 apply (zenon_L717_); trivial. % 1.22/1.39 exact (zenon_Hd4 zenon_Hd5). % 1.22/1.39 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H7f | zenon_intro zenon_H31 ]. % 1.22/1.39 apply (zenon_L144_); trivial. % 1.22/1.39 apply (zenon_L88_); trivial. % 1.22/1.39 apply (zenon_L689_); trivial. % 1.22/1.39 (* end of lemma zenon_L718_ *) % 1.22/1.39 assert (zenon_L719_ : ((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp11)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(c3_1 (a18))) -> (c0_1 (a18)) -> (c2_1 (a18)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp27)\/(hskp26))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a11))/\((c1_1 (a11))/\(c3_1 (a11)))))) -> (~(hskp4)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> (~(hskp0)) -> ((hskp24)\/((hskp23)\/(hskp0))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (c0_1 (a15)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> False). % 1.22/1.39 do 0 intro. intros zenon_H9e zenon_H17b zenon_H93 zenon_H91 zenon_H1c1 zenon_Hdc zenon_Hd4 zenon_Hd3 zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_Hfc zenon_Hc1 zenon_He0 zenon_Hc2 zenon_H1c6 zenon_H48 zenon_H167 zenon_H1f2 zenon_H1f0 zenon_H14a zenon_H97 zenon_Hd zenon_H42 zenon_H1c2 zenon_H15 zenon_H17 zenon_H115 zenon_H116 zenon_H117 zenon_H1a9 zenon_H9d zenon_H1da. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.22/1.39 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.22/1.39 apply (zenon_L690_); trivial. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H1a. zenon_intro zenon_H1d8. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1d0. zenon_intro zenon_H1d9. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1ce. zenon_intro zenon_H1cf. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H13 | zenon_intro zenon_Ha1 ]. % 1.22/1.39 apply (zenon_L714_); trivial. % 1.22/1.39 apply (zenon_L511_); trivial. % 1.22/1.39 apply (zenon_L153_); trivial. % 1.22/1.39 (* end of lemma zenon_L719_ *) % 1.22/1.39 assert (zenon_L720_ : ((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> (~(hskp1)) -> ((hskp25)\/((hskp17)\/(hskp21))) -> (~(hskp17)) -> (~(hskp6)) -> (~(hskp10)) -> ((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp6)\/(hskp10))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> False). % 1.22/1.39 do 0 intro. intros zenon_H17c zenon_H166 zenon_H162 zenon_Hde zenon_H130 zenon_H9 zenon_H2b zenon_H2d zenon_H2f zenon_H167. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H17c). zenon_intro zenon_H1a. zenon_intro zenon_H17d. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H14f. zenon_intro zenon_H17e. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_H150. zenon_intro zenon_H151. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H12e | zenon_intro zenon_H161 ]. % 1.22/1.39 apply (zenon_L507_); trivial. % 1.22/1.39 apply (zenon_L89_); trivial. % 1.22/1.39 (* end of lemma zenon_L720_ *) % 1.22/1.39 assert (zenon_L721_ : ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> (~(hskp1)) -> ((hskp25)\/((hskp17)\/(hskp21))) -> (~(hskp6)) -> (~(hskp10)) -> ((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp6)\/(hskp10))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> (ndr1_0) -> (~(c2_1 (a14))) -> (c0_1 (a14)) -> (c3_1 (a14)) -> (~(hskp17)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> False). % 1.22/1.39 do 0 intro. intros zenon_H17a zenon_H166 zenon_H162 zenon_Hde zenon_H130 zenon_H2b zenon_H2d zenon_H2f zenon_H167 zenon_H1a zenon_H11f zenon_H120 zenon_H121 zenon_H9 zenon_H12a. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H128 | zenon_intro zenon_H17c ]. % 1.22/1.39 apply (zenon_L78_); trivial. % 1.22/1.39 apply (zenon_L720_); trivial. % 1.22/1.39 (* end of lemma zenon_L721_ *) % 1.22/1.39 assert (zenon_L722_ : (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7)))))) -> (ndr1_0) -> (forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48)))))) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> False). % 1.22/1.39 do 0 intro. intros zenon_H7f zenon_H1a zenon_He8 zenon_H2b9 zenon_H2ba zenon_H2c2. % 1.22/1.39 generalize (zenon_H7f (a4)). zenon_intro zenon_H2cd. % 1.22/1.39 apply (zenon_imply_s _ _ zenon_H2cd); [ zenon_intro zenon_H19 | zenon_intro zenon_H2ce ]. % 1.22/1.39 exact (zenon_H19 zenon_H1a). % 1.22/1.39 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H2bb | zenon_intro zenon_H2c9 ]. % 1.22/1.39 apply (zenon_L685_); trivial. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H2c9); [ zenon_intro zenon_H2c1 | zenon_intro zenon_H2c6 ]. % 1.22/1.39 exact (zenon_H2ba zenon_H2c1). % 1.22/1.39 exact (zenon_H2c6 zenon_H2c2). % 1.22/1.39 (* end of lemma zenon_L722_ *) % 1.22/1.39 assert (zenon_L723_ : ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (c3_1 (a33)) -> (c2_1 (a33)) -> (~(c0_1 (a33))) -> (c2_1 (a31)) -> (c0_1 (a31)) -> (ndr1_0) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(hskp11)) -> False). % 1.22/1.39 do 0 intro. intros zenon_H93 zenon_H171 zenon_H16a zenon_H168 zenon_H33 zenon_H3c zenon_H1a zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_H7f zenon_Hfc zenon_H91. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H49 | zenon_intro zenon_H94 ]. % 1.22/1.39 apply (zenon_L105_); trivial. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H8e | zenon_intro zenon_H92 ]. % 1.22/1.39 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfd ]. % 1.22/1.39 apply (zenon_L722_); trivial. % 1.22/1.39 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hf3 | zenon_intro zenon_Hcd ]. % 1.22/1.39 apply (zenon_L687_); trivial. % 1.22/1.39 apply (zenon_L116_); trivial. % 1.22/1.39 exact (zenon_H91 zenon_H92). % 1.22/1.39 (* end of lemma zenon_L723_ *) % 1.22/1.39 assert (zenon_L724_ : ((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (~(hskp10)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (c0_1 (a31)) -> (c2_1 (a31)) -> (~(c1_1 (a31))) -> (~(hskp11)) -> False). % 1.22/1.39 do 0 intro. intros zenon_H176 zenon_H95 zenon_H2d zenon_H43 zenon_Hfc zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_H93 zenon_H3c zenon_H33 zenon_H32 zenon_H91. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1a. zenon_intro zenon_H178. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H16a. zenon_intro zenon_H179. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H171. zenon_intro zenon_H168. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H65 | zenon_intro zenon_H96 ]. % 1.22/1.39 apply (zenon_L107_); trivial. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H7f | zenon_intro zenon_H31 ]. % 1.22/1.39 apply (zenon_L723_); trivial. % 1.22/1.39 apply (zenon_L106_); trivial. % 1.22/1.39 (* end of lemma zenon_L724_ *) % 1.22/1.39 assert (zenon_L725_ : ((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp6)\/(hskp10))) -> (c1_1 (a3)) -> (c3_1 (a3)) -> (c2_1 (a3)) -> (forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36)))))) -> (ndr1_0) -> (~(hskp6)) -> (~(hskp10)) -> False). % 1.22/1.39 do 0 intro. intros zenon_H2f zenon_H1d zenon_H1f zenon_H1e zenon_H49 zenon_H1a zenon_H2b zenon_H2d. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H2f); [ zenon_intro zenon_H1c | zenon_intro zenon_H30 ]. % 1.22/1.39 apply (zenon_L110_); trivial. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H30); [ zenon_intro zenon_H2c | zenon_intro zenon_H2e ]. % 1.22/1.39 exact (zenon_H2b zenon_H2c). % 1.22/1.39 exact (zenon_H2d zenon_H2e). % 1.22/1.39 (* end of lemma zenon_L725_ *) % 1.22/1.39 assert (zenon_L726_ : ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c0_1 (a25)) -> (~(c3_1 (a25))) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> (forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37)))))) -> (ndr1_0) -> (c0_1 (a31)) -> (c2_1 (a31)) -> False). % 1.22/1.39 do 0 intro. intros zenon_Hfc zenon_H18f zenon_H18e zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_H8e zenon_H1a zenon_H3c zenon_H33. % 1.22/1.39 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfd ]. % 1.22/1.39 apply (zenon_L113_); trivial. % 1.22/1.39 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hf3 | zenon_intro zenon_Hcd ]. % 1.22/1.39 apply (zenon_L687_); trivial. % 1.22/1.39 apply (zenon_L116_); trivial. % 1.22/1.39 (* end of lemma zenon_L726_ *) % 1.22/1.39 assert (zenon_L727_ : ((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp10)) -> (~(hskp6)) -> ((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp6)\/(hskp10))) -> (c2_1 (a31)) -> (c0_1 (a31)) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> (~(c3_1 (a25))) -> (c0_1 (a25)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(hskp11)) -> False). % 1.22/1.39 do 0 intro. intros zenon_H41 zenon_H93 zenon_H2d zenon_H2b zenon_H2f zenon_H33 zenon_H3c zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_H18e zenon_H18f zenon_Hfc zenon_H91. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H1a. zenon_intro zenon_H44. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H1d. zenon_intro zenon_H45. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H1e. zenon_intro zenon_H1f. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H49 | zenon_intro zenon_H94 ]. % 1.22/1.39 apply (zenon_L725_); trivial. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H8e | zenon_intro zenon_H92 ]. % 1.22/1.39 apply (zenon_L726_); trivial. % 1.22/1.39 exact (zenon_H91 zenon_H92). % 1.22/1.39 (* end of lemma zenon_L727_ *) % 1.22/1.39 assert (zenon_L728_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp11)) -> (~(c3_1 (a25))) -> (c0_1 (a25)) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> (c0_1 (a31)) -> (c2_1 (a31)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(hskp6)) -> (~(hskp10)) -> ((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp6)\/(hskp10))) -> (~(hskp23)) -> (~(hskp0)) -> ((hskp24)\/((hskp23)\/(hskp0))) -> False). % 1.22/1.39 do 0 intro. intros zenon_H48 zenon_H93 zenon_H91 zenon_H18e zenon_H18f zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_H3c zenon_H33 zenon_Hfc zenon_H2b zenon_H2d zenon_H2f zenon_H13 zenon_H15 zenon_H17. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H11 | zenon_intro zenon_H41 ]. % 1.22/1.39 apply (zenon_L12_); trivial. % 1.22/1.39 apply (zenon_L727_); trivial. % 1.22/1.39 (* end of lemma zenon_L728_ *) % 1.22/1.39 assert (zenon_L729_ : ((~(hskp23))\/((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp19)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (c1_1 (a25)) -> (~(c1_1 (a31))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((hskp9)\/(hskp24))) -> (~(hskp9)) -> (c3_1 (a14)) -> (c0_1 (a14)) -> (~(c2_1 (a14))) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> ((hskp24)\/((hskp23)\/(hskp0))) -> (~(hskp0)) -> ((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp6)\/(hskp10))) -> (~(hskp10)) -> (~(hskp6)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c2_1 (a31)) -> (c0_1 (a31)) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> (c0_1 (a25)) -> (~(c3_1 (a25))) -> (~(hskp11)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> False). % 1.22/1.39 do 0 intro. intros zenon_H9d zenon_H14a zenon_H144 zenon_Hd3 zenon_H19a zenon_H32 zenon_H7b zenon_H3 zenon_H121 zenon_H120 zenon_H11f zenon_Hd zenon_H1a9 zenon_H17 zenon_H15 zenon_H2f zenon_H2d zenon_H2b zenon_Hfc zenon_H33 zenon_H3c zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_H18f zenon_H18e zenon_H91 zenon_H93 zenon_H48. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H13 | zenon_intro zenon_Ha1 ]. % 1.22/1.39 apply (zenon_L728_); trivial. % 1.22/1.39 apply (zenon_L278_); trivial. % 1.22/1.39 (* end of lemma zenon_L729_ *) % 1.22/1.39 assert (zenon_L730_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(~(c3_1 (a25))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(hskp8)) -> ((hskp17)\/((hskp8)\/(hskp4))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> (~(hskp1)) -> ((hskp25)\/((hskp17)\/(hskp21))) -> (~(hskp6)) -> (~(hskp10)) -> ((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp6)\/(hskp10))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> (ndr1_0) -> (~(c2_1 (a14))) -> (c0_1 (a14)) -> (c3_1 (a14)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((hskp9)\/(hskp24))) -> (~(hskp9)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> ((hskp24)\/((hskp23)\/(hskp0))) -> (~(hskp0)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp4)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> (~(hskp11)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> False). % 1.22/1.39 do 0 intro. intros zenon_H1a2 zenon_Hd3 zenon_Hb zenon_Hf zenon_H17a zenon_H166 zenon_H162 zenon_Hde zenon_H130 zenon_H2b zenon_H2d zenon_H2f zenon_H167 zenon_H1a zenon_H11f zenon_H120 zenon_H121 zenon_H12a zenon_H9d zenon_H7b zenon_H3 zenon_H1a9 zenon_H17 zenon_H15 zenon_H149 zenon_H14a zenon_H43 zenon_Hd zenon_H42 zenon_H48 zenon_H91 zenon_H93 zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_Hfc zenon_H95 zenon_H17b zenon_H9c. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H146 | zenon_intro zenon_H19f ]. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.22/1.39 apply (zenon_L721_); trivial. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.22/1.39 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.22/1.39 apply (zenon_L522_); trivial. % 1.22/1.39 apply (zenon_L724_); trivial. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H1a. zenon_intro zenon_H1a0. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H18f. zenon_intro zenon_H1a1. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H19a. zenon_intro zenon_H18e. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.22/1.39 apply (zenon_L8_); trivial. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.22/1.39 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.22/1.39 apply (zenon_L729_); trivial. % 1.22/1.39 apply (zenon_L724_); trivial. % 1.22/1.39 (* end of lemma zenon_L730_ *) % 1.22/1.39 assert (zenon_L731_ : ((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (c2_1 (a19)) -> (~(c3_1 (a19))) -> (~(c1_1 (a19))) -> (~(hskp4)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> False). % 1.22/1.39 do 0 intro. intros zenon_H41 zenon_H167 zenon_H1f0 zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_H1c2 zenon_Hd3 zenon_Hb0 zenon_Haf zenon_Hae zenon_Hd zenon_H42 zenon_H1c1. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H1a. zenon_intro zenon_H44. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H1d. zenon_intro zenon_H45. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H1e. zenon_intro zenon_H1f. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H12c | zenon_intro zenon_H148 ]. % 1.22/1.39 apply (zenon_L135_); trivial. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H1a. zenon_intro zenon_H14b. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H13b. zenon_intro zenon_H14c. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H14c). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H1ab | zenon_intro zenon_H1f1 ]. % 1.22/1.39 apply (zenon_L131_); trivial. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H1c ]. % 1.22/1.39 apply (zenon_L687_); trivial. % 1.22/1.39 apply (zenon_L83_); trivial. % 1.22/1.39 (* end of lemma zenon_L731_ *) % 1.22/1.39 assert (zenon_L732_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (c2_1 (a19)) -> (~(c3_1 (a19))) -> (~(c1_1 (a19))) -> (~(hskp4)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> (~(hskp23)) -> (~(hskp0)) -> ((hskp24)\/((hskp23)\/(hskp0))) -> False). % 1.22/1.39 do 0 intro. intros zenon_H48 zenon_H167 zenon_H1f0 zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_H1c2 zenon_Hd3 zenon_Hb0 zenon_Haf zenon_Hae zenon_Hd zenon_H42 zenon_H1c1 zenon_H13 zenon_H15 zenon_H17. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H11 | zenon_intro zenon_H41 ]. % 1.22/1.39 apply (zenon_L12_); trivial. % 1.22/1.39 apply (zenon_L731_); trivial. % 1.22/1.39 (* end of lemma zenon_L732_ *) % 1.22/1.39 assert (zenon_L733_ : ((ndr1_0)/\((c2_1 (a19))/\((~(c1_1 (a19)))/\(~(c3_1 (a19)))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((hskp9)\/(hskp24))) -> (~(hskp9)) -> (c3_1 (a14)) -> (c0_1 (a14)) -> (~(c2_1 (a14))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> ((hskp24)\/((hskp23)\/(hskp0))) -> (~(hskp0)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> False). % 1.22/1.39 do 0 intro. intros zenon_He5 zenon_H9d zenon_H7b zenon_H3 zenon_H121 zenon_H120 zenon_H11f zenon_H1a9 zenon_H17 zenon_H15 zenon_H1c1 zenon_H42 zenon_Hd zenon_Hd3 zenon_H1c2 zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_H1f0 zenon_H167 zenon_H48. % 1.22/1.39 apply (zenon_and_s _ _ zenon_He5). zenon_intro zenon_H1a. zenon_intro zenon_He6. % 1.22/1.39 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_Hb0. zenon_intro zenon_He7. % 1.22/1.39 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hae. zenon_intro zenon_Haf. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H13 | zenon_intro zenon_Ha1 ]. % 1.22/1.39 apply (zenon_L732_); trivial. % 1.22/1.39 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H1a. zenon_intro zenon_Ha2. % 1.22/1.39 apply (zenon_and_s _ _ zenon_Ha2). zenon_intro zenon_H4d. zenon_intro zenon_Ha3. % 1.22/1.39 apply (zenon_and_s _ _ zenon_Ha3). zenon_intro zenon_H4a. zenon_intro zenon_H4c. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H11 | zenon_intro zenon_H41 ]. % 1.22/1.39 apply (zenon_L127_); trivial. % 1.22/1.39 apply (zenon_L731_); trivial. % 1.22/1.39 (* end of lemma zenon_L733_ *) % 1.22/1.39 assert (zenon_L734_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> (~(hskp26)) -> (~(hskp25)) -> (~(c0_1 (a37))) -> (~(c3_1 (a37))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> (c2_1 (a31)) -> (c0_1 (a31)) -> (~(c1_1 (a31))) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> (~(c2_1 (a16))) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (ndr1_0) -> (~(c2_1 (a14))) -> (forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14)))))) -> (c0_1 (a14)) -> (c3_1 (a14)) -> False). % 1.22/1.39 do 0 intro. intros zenon_H1ee zenon_H1b3 zenon_H12c zenon_H1ce zenon_H1cf zenon_H1c2 zenon_H33 zenon_H3c zenon_H32 zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_He9 zenon_Hea zenon_Heb zenon_Hfc zenon_H1a zenon_H11f zenon_Hf2 zenon_H120 zenon_H121. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H1ee); [ zenon_intro zenon_H1e7 | zenon_intro zenon_H1ef ]. % 1.22/1.39 apply (zenon_L167_); trivial. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H3b | zenon_intro zenon_H6d ]. % 1.22/1.39 apply (zenon_L700_); trivial. % 1.22/1.39 apply (zenon_L109_); trivial. % 1.22/1.39 (* end of lemma zenon_L734_ *) % 1.22/1.39 assert (zenon_L735_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> (ndr1_0) -> (~(c0_1 (a53))) -> (~(c1_1 (a53))) -> (c3_1 (a53)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> (c3_1 (a14)) -> (c0_1 (a14)) -> (~(c2_1 (a14))) -> (~(c2_1 (a16))) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> (~(c1_1 (a31))) -> (c0_1 (a31)) -> (c2_1 (a31)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(c0_1 (a37))) -> (~(c3_1 (a37))) -> (~(hskp25)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> False). % 1.22/1.39 do 0 intro. intros zenon_H1c1 zenon_H1a zenon_H4a zenon_H4c zenon_H4d zenon_H1ee zenon_H121 zenon_H120 zenon_H11f zenon_He9 zenon_Hea zenon_Heb zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_H32 zenon_H3c zenon_H33 zenon_Hfc zenon_H1ce zenon_H1cf zenon_H12c zenon_H1c2 zenon_Hd zenon_H1a9. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1be ]. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H1aa ]. % 1.22/1.39 apply (zenon_L125_); trivial. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_Hf2 | zenon_intro zenon_He ]. % 1.22/1.39 apply (zenon_L734_); trivial. % 1.22/1.39 exact (zenon_Hd zenon_He). % 1.22/1.39 apply (zenon_L696_); trivial. % 1.22/1.39 (* end of lemma zenon_L735_ *) % 1.22/1.39 assert (zenon_L736_ : ((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> (~(hskp19)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> (~(c3_1 (a37))) -> (~(c0_1 (a37))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c2_1 (a31)) -> (c0_1 (a31)) -> (~(c1_1 (a31))) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (~(c2_1 (a16))) -> (~(c2_1 (a14))) -> (c0_1 (a14)) -> (c3_1 (a14)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> False). % 1.22/1.39 do 0 intro. intros zenon_Ha1 zenon_H167 zenon_H144 zenon_H14a zenon_H1a9 zenon_Hd zenon_H1c2 zenon_H1cf zenon_H1ce zenon_Hfc zenon_H33 zenon_H3c zenon_H32 zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_Heb zenon_Hea zenon_He9 zenon_H11f zenon_H120 zenon_H121 zenon_H1ee zenon_H1c1. % 1.22/1.39 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H1a. zenon_intro zenon_Ha2. % 1.22/1.39 apply (zenon_and_s _ _ zenon_Ha2). zenon_intro zenon_H4d. zenon_intro zenon_Ha3. % 1.22/1.39 apply (zenon_and_s _ _ zenon_Ha3). zenon_intro zenon_H4a. zenon_intro zenon_H4c. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H12c | zenon_intro zenon_H148 ]. % 1.22/1.39 apply (zenon_L735_); trivial. % 1.22/1.39 apply (zenon_L137_); trivial. % 1.22/1.39 (* end of lemma zenon_L736_ *) % 1.22/1.39 assert (zenon_L737_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((hskp24)\/((hskp23)\/(hskp0))) -> (~(hskp0)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (~(hskp15)) -> (c0_1 (a14)) -> (~(c2_1 (a14))) -> (c3_1 (a14)) -> (~(hskp19)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(c1_1 (a31))) -> (~(hskp4)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c0_1 (a31)) -> (c2_1 (a31)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (~(c2_1 (a16))) -> (ndr1_0) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> False). % 1.22/1.39 do 0 intro. intros zenon_H1da zenon_H9d zenon_H167 zenon_H1a9 zenon_H1c2 zenon_H1ee zenon_H17 zenon_H15 zenon_H149 zenon_H146 zenon_H120 zenon_H11f zenon_H121 zenon_H144 zenon_H14a zenon_H32 zenon_Hd zenon_H42 zenon_H48 zenon_Hfc zenon_H3c zenon_H33 zenon_H1c6 zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_Heb zenon_Hea zenon_He9 zenon_H1a zenon_H1c1. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.22/1.39 apply (zenon_L697_); trivial. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H1a. zenon_intro zenon_H1d8. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1d0. zenon_intro zenon_H1d9. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1ce. zenon_intro zenon_H1cf. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H13 | zenon_intro zenon_Ha1 ]. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H11 | zenon_intro zenon_H41 ]. % 1.22/1.39 apply (zenon_L12_); trivial. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H1a. zenon_intro zenon_H44. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H1d. zenon_intro zenon_H45. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H1e. zenon_intro zenon_H1f. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H1b | zenon_intro zenon_H46 ]. % 1.22/1.39 apply (zenon_L96_); trivial. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_He ]. % 1.22/1.39 apply (zenon_L700_); trivial. % 1.22/1.39 exact (zenon_Hd zenon_He). % 1.22/1.39 apply (zenon_L736_); trivial. % 1.22/1.39 (* end of lemma zenon_L737_ *) % 1.22/1.39 assert (zenon_L738_ : ((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> (~(c2_1 (a16))) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(c3_1 (a32))) -> (~(c1_1 (a32))) -> (~(c0_1 (a32))) -> False). % 1.22/1.39 do 0 intro. intros zenon_H41 zenon_H177 zenon_He9 zenon_Hea zenon_Heb zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_Hfc zenon_H151 zenon_H150 zenon_H14f. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H1a. zenon_intro zenon_H44. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H1d. zenon_intro zenon_H45. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H1e. zenon_intro zenon_H1f. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hd6 ]. % 1.22/1.39 apply (zenon_L87_); trivial. % 1.22/1.39 apply (zenon_L698_); trivial. % 1.22/1.39 (* end of lemma zenon_L738_ *) % 1.22/1.39 assert (zenon_L739_ : ((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> (~(c2_1 (a16))) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(c3_1 (a25))) -> (c0_1 (a25)) -> (c1_1 (a25)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp24))) -> False). % 1.22/1.39 do 0 intro. intros zenon_H17c zenon_H48 zenon_H177 zenon_He9 zenon_Hea zenon_Heb zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_Hfc zenon_H18e zenon_H18f zenon_H19a zenon_H1f8. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H17c). zenon_intro zenon_H1a. zenon_intro zenon_H17d. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H14f. zenon_intro zenon_H17e. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_H150. zenon_intro zenon_H151. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H11 | zenon_intro zenon_H41 ]. % 1.22/1.39 apply (zenon_L188_); trivial. % 1.22/1.39 apply (zenon_L738_); trivial. % 1.22/1.39 (* end of lemma zenon_L739_ *) % 1.22/1.39 assert (zenon_L740_ : ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> (~(c2_1 (a16))) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(c3_1 (a25))) -> (c0_1 (a25)) -> (c1_1 (a25)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp24))) -> (ndr1_0) -> (~(c2_1 (a14))) -> (c0_1 (a14)) -> (c3_1 (a14)) -> (~(hskp17)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> False). % 1.22/1.39 do 0 intro. intros zenon_H17a zenon_H48 zenon_H177 zenon_He9 zenon_Hea zenon_Heb zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_Hfc zenon_H18e zenon_H18f zenon_H19a zenon_H1f8 zenon_H1a zenon_H11f zenon_H120 zenon_H121 zenon_H9 zenon_H12a. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H128 | zenon_intro zenon_H17c ]. % 1.22/1.39 apply (zenon_L78_); trivial. % 1.22/1.39 apply (zenon_L739_); trivial. % 1.22/1.39 (* end of lemma zenon_L740_ *) % 1.22/1.39 assert (zenon_L741_ : ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c1_1 (a11)) -> (c3_1 (a11)) -> (c0_1 (a11)) -> (forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))) -> (c1_1 (a3)) -> (c3_1 (a3)) -> (c2_1 (a3)) -> (forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36)))))) -> (ndr1_0) -> (~(hskp19)) -> False). % 1.22/1.39 do 0 intro. intros zenon_H14a zenon_H6f zenon_H70 zenon_H9b zenon_Hcd zenon_H1d zenon_H1f zenon_H1e zenon_H49 zenon_H1a zenon_H144. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_H6d | zenon_intro zenon_H14e ]. % 1.22/1.39 apply (zenon_L170_); trivial. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H1c | zenon_intro zenon_H145 ]. % 1.22/1.39 apply (zenon_L110_); trivial. % 1.22/1.39 exact (zenon_H144 zenon_H145). % 1.22/1.39 (* end of lemma zenon_L741_ *) % 1.22/1.39 assert (zenon_L742_ : ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (~(c2_1 (a16))) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c1_1 (a11)) -> (c3_1 (a11)) -> (c0_1 (a11)) -> (c1_1 (a3)) -> (c3_1 (a3)) -> (c2_1 (a3)) -> (forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36)))))) -> (ndr1_0) -> (~(hskp19)) -> False). % 1.22/1.39 do 0 intro. intros zenon_Hfc zenon_Heb zenon_Hea zenon_He9 zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_H14a zenon_H6f zenon_H70 zenon_H9b zenon_H1d zenon_H1f zenon_H1e zenon_H49 zenon_H1a zenon_H144. % 1.22/1.39 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfd ]. % 1.22/1.39 apply (zenon_L63_); trivial. % 1.22/1.39 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hf3 | zenon_intro zenon_Hcd ]. % 1.22/1.39 apply (zenon_L687_); trivial. % 1.22/1.39 apply (zenon_L741_); trivial. % 1.22/1.39 (* end of lemma zenon_L742_ *) % 1.22/1.39 assert (zenon_L743_ : ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c0_1 (a25)) -> (~(c3_1 (a25))) -> (forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37)))))) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> (ndr1_0) -> (forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32)))))) -> (c1_1 (a3)) -> (c3_1 (a3)) -> (c2_1 (a3)) -> False). % 1.22/1.39 do 0 intro. intros zenon_Hfc zenon_H18f zenon_H18e zenon_H8e zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_H1a zenon_H1b zenon_H1d zenon_H1f zenon_H1e. % 1.22/1.39 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfd ]. % 1.22/1.39 apply (zenon_L113_); trivial. % 1.22/1.39 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hf3 | zenon_intro zenon_Hcd ]. % 1.22/1.39 apply (zenon_L687_); trivial. % 1.22/1.39 apply (zenon_L128_); trivial. % 1.22/1.39 (* end of lemma zenon_L743_ *) % 1.22/1.39 assert (zenon_L744_ : ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp19)) -> (c0_1 (a11)) -> (c3_1 (a11)) -> (c1_1 (a11)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(c2_1 (a16))) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> (c2_1 (a3)) -> (c3_1 (a3)) -> (c1_1 (a3)) -> (forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32)))))) -> (ndr1_0) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> (~(c3_1 (a25))) -> (c0_1 (a25)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(hskp11)) -> False). % 1.22/1.39 do 0 intro. intros zenon_H93 zenon_H144 zenon_H9b zenon_H70 zenon_H6f zenon_H14a zenon_He9 zenon_Hea zenon_Heb zenon_H1e zenon_H1f zenon_H1d zenon_H1b zenon_H1a zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_H18e zenon_H18f zenon_Hfc zenon_H91. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H49 | zenon_intro zenon_H94 ]. % 1.22/1.39 apply (zenon_L742_); trivial. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H8e | zenon_intro zenon_H92 ]. % 1.22/1.39 apply (zenon_L743_); trivial. % 1.22/1.39 exact (zenon_H91 zenon_H92). % 1.22/1.39 (* end of lemma zenon_L744_ *) % 1.22/1.39 assert (zenon_L745_ : ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp11)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c0_1 (a25)) -> (~(c3_1 (a25))) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> (c1_1 (a3)) -> (c3_1 (a3)) -> (c2_1 (a3)) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (~(c2_1 (a16))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c1_1 (a11)) -> (c3_1 (a11)) -> (c0_1 (a11)) -> (~(hskp19)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (c0_1 (a31)) -> (c2_1 (a31)) -> (~(c1_1 (a31))) -> (ndr1_0) -> (forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10)))))) -> (~(hskp10)) -> False). % 1.22/1.39 do 0 intro. intros zenon_H43 zenon_H91 zenon_Hfc zenon_H18f zenon_H18e zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_H1d zenon_H1f zenon_H1e zenon_Heb zenon_Hea zenon_He9 zenon_H14a zenon_H6f zenon_H70 zenon_H9b zenon_H144 zenon_H93 zenon_H3c zenon_H33 zenon_H32 zenon_H1a zenon_H3b zenon_H2d. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H43); [ zenon_intro zenon_H1b | zenon_intro zenon_H47 ]. % 1.22/1.39 apply (zenon_L744_); trivial. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H47); [ zenon_intro zenon_H31 | zenon_intro zenon_H2e ]. % 1.22/1.39 apply (zenon_L19_); trivial. % 1.22/1.39 exact (zenon_H2d zenon_H2e). % 1.22/1.39 (* end of lemma zenon_L745_ *) % 1.22/1.39 assert (zenon_L746_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a11))/\((c1_1 (a11))/\(c3_1 (a11)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> (~(hskp4)) -> (~(c1_1 (a31))) -> (c2_1 (a31)) -> (c0_1 (a31)) -> (~(hskp10)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp19)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c0_1 (a25)) -> (~(c3_1 (a25))) -> (~(hskp11)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c3_1 (a3)) -> (c2_1 (a3)) -> (c1_1 (a3)) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (~(c2_1 (a16))) -> (ndr1_0) -> (~(hskp26)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp27)\/(hskp26))) -> False). % 1.22/1.39 do 0 intro. intros zenon_H97 zenon_H42 zenon_Hd zenon_H32 zenon_H33 zenon_H3c zenon_H2d zenon_H43 zenon_H144 zenon_H14a zenon_H18f zenon_H18e zenon_H91 zenon_H93 zenon_Hfc zenon_H1f zenon_H1e zenon_H1d zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_Heb zenon_Hea zenon_He9 zenon_H1a zenon_H1b3 zenon_H1f2. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H98 ]. % 1.22/1.39 apply (zenon_L699_); trivial. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H98). zenon_intro zenon_H1a. zenon_intro zenon_H99. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H99). zenon_intro zenon_H9b. zenon_intro zenon_H9a. % 1.22/1.39 apply (zenon_and_s _ _ zenon_H9a). zenon_intro zenon_H6f. zenon_intro zenon_H70. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H1b | zenon_intro zenon_H46 ]. % 1.22/1.39 apply (zenon_L744_); trivial. % 1.22/1.39 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_He ]. % 1.22/1.39 apply (zenon_L745_); trivial. % 1.22/1.39 exact (zenon_Hd zenon_He). % 1.22/1.39 (* end of lemma zenon_L746_ *) % 1.22/1.39 assert (zenon_L747_ : ((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(~(c3_1 (a25)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp27)\/(hskp26))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp10)) -> (~(hskp4)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a11))/\((c1_1 (a11))/\(c3_1 (a11)))))) -> (~(hskp0)) -> ((hskp24)\/((hskp23)\/(hskp0))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> (c3_1 (a14)) -> (c0_1 (a14)) -> (~(c2_1 (a14))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp24))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (~(c2_1 (a16))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> False). % 1.22/1.40 do 0 intro. intros zenon_H19f zenon_H9c zenon_H17b zenon_H95 zenon_H1c1 zenon_H1c6 zenon_H1f2 zenon_H93 zenon_H91 zenon_H14a zenon_H43 zenon_H2d zenon_Hd zenon_H42 zenon_H97 zenon_H15 zenon_H17 zenon_H1ee zenon_H1c2 zenon_H1a9 zenon_H167 zenon_H9d zenon_H1da zenon_H12a zenon_H121 zenon_H120 zenon_H11f zenon_H1f8 zenon_Hfc zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_Heb zenon_Hea zenon_He9 zenon_H177 zenon_H48 zenon_H17a. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H1a. zenon_intro zenon_H1a0. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H18f. zenon_intro zenon_H1a1. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H19a. zenon_intro zenon_H18e. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.22/1.40 apply (zenon_L740_); trivial. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.22/1.40 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.22/1.40 apply (zenon_L697_); trivial. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H1a. zenon_intro zenon_H1d8. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1d0. zenon_intro zenon_H1d9. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1ce. zenon_intro zenon_H1cf. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H13 | zenon_intro zenon_Ha1 ]. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H11 | zenon_intro zenon_H41 ]. % 1.22/1.40 apply (zenon_L12_); trivial. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H1a. zenon_intro zenon_H44. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H1d. zenon_intro zenon_H45. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H1e. zenon_intro zenon_H1f. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1be ]. % 1.22/1.40 apply (zenon_L746_); trivial. % 1.22/1.40 apply (zenon_L696_); trivial. % 1.22/1.40 apply (zenon_L736_); trivial. % 1.22/1.40 apply (zenon_L724_); trivial. % 1.22/1.40 (* end of lemma zenon_L747_ *) % 1.22/1.40 assert (zenon_L748_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(~(c3_1 (a25))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp27)\/(hskp26))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a11))/\((c1_1 (a11))/\(c3_1 (a11)))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp24))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> ((hskp17)\/((hskp8)\/(hskp4))) -> (~(hskp4)) -> (~(hskp8)) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((hskp24)\/((hskp23)\/(hskp0))) -> (~(hskp0)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (c0_1 (a14)) -> (~(c2_1 (a14))) -> (c3_1 (a14)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (~(c2_1 (a16))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp10)) -> (~(hskp11)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> False). % 1.22/1.40 do 0 intro. intros zenon_H1a2 zenon_H1f2 zenon_H97 zenon_H12a zenon_H1f8 zenon_H177 zenon_H17a zenon_Hf zenon_Hd zenon_Hb zenon_H1da zenon_H9d zenon_H167 zenon_H1a9 zenon_H1c2 zenon_H1ee zenon_H17 zenon_H15 zenon_H149 zenon_H120 zenon_H11f zenon_H121 zenon_H14a zenon_H42 zenon_H48 zenon_Hfc zenon_H1c6 zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_Heb zenon_Hea zenon_He9 zenon_H1c1 zenon_H43 zenon_H2d zenon_H91 zenon_H93 zenon_H95 zenon_H17b zenon_H9c. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H146 | zenon_intro zenon_H19f ]. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.22/1.40 apply (zenon_L8_); trivial. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.22/1.40 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.22/1.40 apply (zenon_L737_); trivial. % 1.22/1.40 apply (zenon_L724_); trivial. % 1.22/1.40 apply (zenon_L747_); trivial. % 1.22/1.40 (* end of lemma zenon_L748_ *) % 1.22/1.40 assert (zenon_L749_ : ((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37)))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53))))))) -> (~(hskp19)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c2_1 (a31)) -> (c0_1 (a31)) -> (~(c1_1 (a31))) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (~(c2_1 (a16))) -> (~(c2_1 (a14))) -> (c0_1 (a14)) -> (c3_1 (a14)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((hskp24)\/((hskp23)\/(hskp0))) -> (~(hskp0)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> (~(hskp4)) -> (~(c1_1 (a19))) -> (~(c3_1 (a19))) -> (c2_1 (a19)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> False). % 1.22/1.40 do 0 intro. intros zenon_H1d7 zenon_H9d zenon_H144 zenon_H14a zenon_H1a9 zenon_Hfc zenon_H33 zenon_H3c zenon_H32 zenon_Heb zenon_Hea zenon_He9 zenon_H11f zenon_H120 zenon_H121 zenon_H1ee zenon_H17 zenon_H15 zenon_H1c1 zenon_H42 zenon_Hd zenon_Hae zenon_Haf zenon_Hb0 zenon_Hd3 zenon_H1c2 zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_H1f0 zenon_H167 zenon_H48. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H1a. zenon_intro zenon_H1d8. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1d0. zenon_intro zenon_H1d9. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1ce. zenon_intro zenon_H1cf. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H13 | zenon_intro zenon_Ha1 ]. % 1.22/1.40 apply (zenon_L732_); trivial. % 1.22/1.40 apply (zenon_L736_); trivial. % 1.22/1.40 (* end of lemma zenon_L749_ *) % 1.22/1.40 assert (zenon_L750_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53))))))) -> (~(hskp19)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> (~(c1_1 (a31))) -> (~(c2_1 (a14))) -> (c0_1 (a14)) -> (c3_1 (a14)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((hskp24)\/((hskp23)\/(hskp0))) -> (~(hskp0)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> (~(hskp4)) -> (~(c1_1 (a19))) -> (~(c3_1 (a19))) -> (c2_1 (a19)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c0_1 (a31)) -> (c2_1 (a31)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (~(c2_1 (a16))) -> (ndr1_0) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> False). % 1.22/1.40 do 0 intro. intros zenon_H1da zenon_H9d zenon_H144 zenon_H14a zenon_H1a9 zenon_H32 zenon_H11f zenon_H120 zenon_H121 zenon_H1ee zenon_H17 zenon_H15 zenon_H42 zenon_Hd zenon_Hae zenon_Haf zenon_Hb0 zenon_Hd3 zenon_H1c2 zenon_H1f0 zenon_H167 zenon_H48 zenon_Hfc zenon_H3c zenon_H33 zenon_H1c6 zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_Heb zenon_Hea zenon_He9 zenon_H1a zenon_H1c1. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.22/1.40 apply (zenon_L697_); trivial. % 1.22/1.40 apply (zenon_L749_); trivial. % 1.22/1.40 (* end of lemma zenon_L750_ *) % 1.22/1.40 assert (zenon_L751_ : ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> (~(c3_1 (a37))) -> (~(c0_1 (a37))) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V))))) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> (ndr1_0) -> (c0_1 (a9)) -> (c1_1 (a9)) -> (c2_1 (a9)) -> False). % 1.22/1.40 do 0 intro. intros zenon_H1f0 zenon_H1cf zenon_H1ce zenon_H1e7 zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_H1a zenon_H13b zenon_H13c zenon_H13d. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H1ab | zenon_intro zenon_H1f1 ]. % 1.22/1.40 apply (zenon_L166_); trivial. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H1c ]. % 1.22/1.40 apply (zenon_L687_); trivial. % 1.22/1.40 apply (zenon_L83_); trivial. % 1.22/1.40 (* end of lemma zenon_L751_ *) % 1.22/1.40 assert (zenon_L752_ : ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> (c2_1 (a19)) -> (~(c3_1 (a19))) -> (~(c1_1 (a19))) -> (forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10)))))) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> (ndr1_0) -> (c0_1 (a9)) -> (c1_1 (a9)) -> (c2_1 (a9)) -> False). % 1.22/1.40 do 0 intro. intros zenon_H1f0 zenon_Hb0 zenon_Haf zenon_Hae zenon_H3b zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_H1a zenon_H13b zenon_H13c zenon_H13d. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H1ab | zenon_intro zenon_H1f1 ]. % 1.22/1.40 apply (zenon_L130_); trivial. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H1c ]. % 1.22/1.40 apply (zenon_L687_); trivial. % 1.22/1.40 apply (zenon_L83_); trivial. % 1.22/1.40 (* end of lemma zenon_L752_ *) % 1.22/1.40 assert (zenon_L753_ : ((ndr1_0)/\((c0_1 (a11))/\((c1_1 (a11))/\(c3_1 (a11))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> (~(c0_1 (a37))) -> (~(c3_1 (a37))) -> (c2_1 (a9)) -> (c1_1 (a9)) -> (c0_1 (a9)) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (c2_1 (a19)) -> (~(c3_1 (a19))) -> (~(c1_1 (a19))) -> False). % 1.22/1.40 do 0 intro. intros zenon_H98 zenon_H1ee zenon_H1ce zenon_H1cf zenon_H13d zenon_H13c zenon_H13b zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_H1f0 zenon_Hd3 zenon_Hb0 zenon_Haf zenon_Hae. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H98). zenon_intro zenon_H1a. zenon_intro zenon_H99. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H99). zenon_intro zenon_H9b. zenon_intro zenon_H9a. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H9a). zenon_intro zenon_H6f. zenon_intro zenon_H70. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H1ee); [ zenon_intro zenon_H1e7 | zenon_intro zenon_H1ef ]. % 1.22/1.40 apply (zenon_L751_); trivial. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H3b | zenon_intro zenon_H6d ]. % 1.22/1.40 apply (zenon_L752_); trivial. % 1.22/1.40 apply (zenon_L171_); trivial. % 1.22/1.40 (* end of lemma zenon_L753_ *) % 1.22/1.40 assert (zenon_L754_ : ((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a11))/\((c1_1 (a11))/\(c3_1 (a11)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(c1_1 (a19))) -> (~(c3_1 (a19))) -> (c2_1 (a19)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp27)\/(hskp26))) -> (c2_1 (a33)) -> (~(c0_1 (a33))) -> (c3_1 (a33)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> False). % 1.22/1.40 do 0 intro. intros zenon_H1d7 zenon_H167 zenon_H1f0 zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_H97 zenon_H1ee zenon_Hd3 zenon_Hae zenon_Haf zenon_Hb0 zenon_H1c2 zenon_H1f2 zenon_H16a zenon_H168 zenon_H171 zenon_H95 zenon_H1c1. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H1a. zenon_intro zenon_H1d8. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1d0. zenon_intro zenon_H1d9. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1ce. zenon_intro zenon_H1cf. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H12c | zenon_intro zenon_H148 ]. % 1.22/1.40 apply (zenon_L307_); trivial. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H1a. zenon_intro zenon_H14b. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H13b. zenon_intro zenon_H14c. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H14c). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1be ]. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H98 ]. % 1.22/1.40 apply (zenon_L180_); trivial. % 1.22/1.40 apply (zenon_L753_); trivial. % 1.22/1.40 apply (zenon_L134_); trivial. % 1.22/1.40 (* end of lemma zenon_L754_ *) % 1.22/1.40 assert (zenon_L755_ : ((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a11))/\((c1_1 (a11))/\(c3_1 (a11)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(c1_1 (a19))) -> (~(c3_1 (a19))) -> (c2_1 (a19)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp27)\/(hskp26))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c0_1 (a31)) -> (c2_1 (a31)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (~(c2_1 (a16))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> False). % 1.22/1.40 do 0 intro. intros zenon_H176 zenon_H1da zenon_H167 zenon_H1f0 zenon_H97 zenon_H1ee zenon_Hd3 zenon_Hae zenon_Haf zenon_Hb0 zenon_H1c2 zenon_H1f2 zenon_H95 zenon_Hfc zenon_H3c zenon_H33 zenon_H1c6 zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_Heb zenon_Hea zenon_He9 zenon_H1c1. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1a. zenon_intro zenon_H178. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H16a. zenon_intro zenon_H179. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H171. zenon_intro zenon_H168. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.22/1.40 apply (zenon_L697_); trivial. % 1.22/1.40 apply (zenon_L754_); trivial. % 1.22/1.40 (* end of lemma zenon_L755_ *) % 1.22/1.40 assert (zenon_L756_ : ((ndr1_0)/\((c2_1 (a19))/\((~(c1_1 (a19)))/\(~(c3_1 (a19)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a11))/\((c1_1 (a11))/\(c3_1 (a11)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp27)\/(hskp26))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> (~(c2_1 (a16))) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> (~(hskp0)) -> ((hskp24)\/((hskp23)\/(hskp0))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> (c3_1 (a14)) -> (c0_1 (a14)) -> (~(c2_1 (a14))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> (~(hskp8)) -> (~(hskp4)) -> ((hskp17)\/((hskp8)\/(hskp4))) -> False). % 1.22/1.40 do 0 intro. intros zenon_He5 zenon_H9c zenon_H17b zenon_H97 zenon_H1f2 zenon_H95 zenon_H1c1 zenon_He9 zenon_Hea zenon_Heb zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_H1c6 zenon_Hfc zenon_H48 zenon_H167 zenon_H1f0 zenon_H1c2 zenon_Hd3 zenon_H42 zenon_H15 zenon_H17 zenon_H1ee zenon_H121 zenon_H120 zenon_H11f zenon_H1a9 zenon_H14a zenon_H9d zenon_H1da zenon_Hb zenon_Hd zenon_Hf. % 1.22/1.40 apply (zenon_and_s _ _ zenon_He5). zenon_intro zenon_H1a. zenon_intro zenon_He6. % 1.22/1.40 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_Hb0. zenon_intro zenon_He7. % 1.22/1.40 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hae. zenon_intro zenon_Haf. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.22/1.40 apply (zenon_L8_); trivial. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.22/1.40 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.22/1.40 apply (zenon_L750_); trivial. % 1.22/1.40 apply (zenon_L755_); trivial. % 1.22/1.40 (* end of lemma zenon_L756_ *) % 1.22/1.40 assert (zenon_L757_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> (ndr1_0) -> (~(c2_1 (a16))) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> (~(hskp16)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((hskp26)\/(hskp16))) -> False). % 1.22/1.40 do 0 intro. intros zenon_H1c1 zenon_Hfc zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_H1a zenon_He9 zenon_Hea zenon_Heb zenon_H1fd zenon_H1ff. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1be ]. % 1.22/1.40 apply (zenon_L195_); trivial. % 1.22/1.40 apply (zenon_L696_); trivial. % 1.22/1.40 (* end of lemma zenon_L757_ *) % 1.22/1.40 assert (zenon_L758_ : ((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> (~(c2_1 (a16))) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (c1_1 (a30)) -> (~(c2_1 (a30))) -> (~(c0_1 (a30))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp27)\/(hskp26))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(c3_1 (a18))) -> (c0_1 (a18)) -> (c2_1 (a18)) -> (~(hskp11)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a11))/\((c1_1 (a11))/\(c3_1 (a11)))))) -> (~(hskp0)) -> ((hskp24)\/((hskp23)\/(hskp0))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> (c3_1 (a14)) -> (c0_1 (a14)) -> (~(c2_1 (a14))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> False). % 1.22/1.40 do 0 intro. intros zenon_H9e zenon_H17b zenon_H1c1 zenon_He9 zenon_Hea zenon_Heb zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_H1c6 zenon_Hfc zenon_H48 zenon_Hdc zenon_Hd4 zenon_Hd3 zenon_H203 zenon_H202 zenon_H201 zenon_H1f2 zenon_H14a zenon_Hc1 zenon_He0 zenon_Hc2 zenon_H91 zenon_H93 zenon_H97 zenon_H15 zenon_H17 zenon_H1ee zenon_H121 zenon_H120 zenon_H11f zenon_H1c2 zenon_Hd zenon_H1a9 zenon_H167 zenon_H9d zenon_H1da. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.22/1.40 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.22/1.40 apply (zenon_L697_); trivial. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H1a. zenon_intro zenon_H1d8. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1d0. zenon_intro zenon_H1d9. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1ce. zenon_intro zenon_H1cf. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H13 | zenon_intro zenon_Ha1 ]. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H11 | zenon_intro zenon_H41 ]. % 1.22/1.40 apply (zenon_L12_); trivial. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H1a. zenon_intro zenon_H44. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H1d. zenon_intro zenon_H45. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H1e. zenon_intro zenon_H1f. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1be ]. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H98 ]. % 1.22/1.40 apply (zenon_L699_); trivial. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H98). zenon_intro zenon_H1a. zenon_intro zenon_H99. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H99). zenon_intro zenon_H9b. zenon_intro zenon_H9a. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H9a). zenon_intro zenon_H6f. zenon_intro zenon_H70. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H49 | zenon_intro zenon_H94 ]. % 1.22/1.40 apply (zenon_L742_); trivial. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H8e | zenon_intro zenon_H92 ]. % 1.22/1.40 apply (zenon_L59_); trivial. % 1.22/1.40 exact (zenon_H91 zenon_H92). % 1.22/1.40 apply (zenon_L200_); trivial. % 1.22/1.40 apply (zenon_L736_); trivial. % 1.22/1.40 apply (zenon_L153_); trivial. % 1.22/1.40 (* end of lemma zenon_L758_ *) % 1.22/1.40 assert (zenon_L759_ : ((~(hskp16))\/((ndr1_0)/\((c1_1 (a30))/\((~(c0_1 (a30)))/\(~(c2_1 (a30))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp27)\/(hskp26))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(c3_1 (a18))) -> (c0_1 (a18)) -> (c2_1 (a18)) -> (~(hskp11)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a11))/\((c1_1 (a11))/\(c3_1 (a11)))))) -> (~(hskp0)) -> ((hskp24)\/((hskp23)\/(hskp0))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> (c3_1 (a14)) -> (c0_1 (a14)) -> (~(c2_1 (a14))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> (~(hskp8)) -> (~(hskp4)) -> ((hskp17)\/((hskp8)\/(hskp4))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((hskp26)\/(hskp16))) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (~(c2_1 (a16))) -> (ndr1_0) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> False). % 1.22/1.40 do 0 intro. intros zenon_H20a zenon_H9c zenon_H17b zenon_H1c6 zenon_H48 zenon_Hdc zenon_Hd4 zenon_Hd3 zenon_H1f2 zenon_H14a zenon_Hc1 zenon_He0 zenon_Hc2 zenon_H91 zenon_H93 zenon_H97 zenon_H15 zenon_H17 zenon_H1ee zenon_H121 zenon_H120 zenon_H11f zenon_H1c2 zenon_H1a9 zenon_H167 zenon_H9d zenon_H1da zenon_Hb zenon_Hd zenon_Hf zenon_H1ff zenon_Heb zenon_Hea zenon_He9 zenon_H1a zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_Hfc zenon_H1c1. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H20a); [ zenon_intro zenon_H1fd | zenon_intro zenon_H20b ]. % 1.22/1.40 apply (zenon_L757_); trivial. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H20b). zenon_intro zenon_H1a. zenon_intro zenon_H20c. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H20c). zenon_intro zenon_H203. zenon_intro zenon_H20d. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H20d). zenon_intro zenon_H201. zenon_intro zenon_H202. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.22/1.40 apply (zenon_L8_); trivial. % 1.22/1.40 apply (zenon_L758_); trivial. % 1.22/1.40 (* end of lemma zenon_L759_ *) % 1.22/1.40 assert (zenon_L760_ : ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp5))) -> (c3_1 (a3)) -> (c2_1 (a3)) -> (c1_1 (a3)) -> (forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1)))))) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (ndr1_0) -> (~(c3_1 (a18))) -> (c2_1 (a18)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp19)) -> (c2_1 (a9)) -> (c1_1 (a9)) -> (c0_1 (a9)) -> (c1_1 (a11)) -> (c3_1 (a11)) -> (c0_1 (a11)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(hskp5)) -> False). % 1.22/1.40 do 0 intro. intros zenon_Hdc zenon_H1f zenon_H1e zenon_H1d zenon_Hd6 zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_Hfc zenon_H1a zenon_Hc1 zenon_Hc2 zenon_H14a zenon_H144 zenon_H13d zenon_H13c zenon_H13b zenon_H6f zenon_H70 zenon_H9b zenon_Hd3 zenon_Hd4. % 1.22/1.40 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hdd ]. % 1.22/1.40 apply (zenon_L706_); trivial. % 1.22/1.40 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hd5 ]. % 1.22/1.40 apply (zenon_L711_); trivial. % 1.22/1.40 exact (zenon_Hd4 zenon_Hd5). % 1.22/1.40 (* end of lemma zenon_L760_ *) % 1.22/1.40 assert (zenon_L761_ : ((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (c2_1 (a18)) -> (~(c3_1 (a18))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c3_1 (a3)) -> (c2_1 (a3)) -> (c1_1 (a3)) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp27)\/(hskp26))) -> (~(c0_1 (a32))) -> (~(c1_1 (a32))) -> (~(c3_1 (a32))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp19)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a11))/\((c1_1 (a11))/\(c3_1 (a11)))))) -> False). % 1.22/1.40 do 0 intro. intros zenon_H148 zenon_H1c1 zenon_Hdc zenon_Hd4 zenon_Hd3 zenon_Hc2 zenon_Hc1 zenon_Hfc zenon_H1f zenon_H1e zenon_H1d zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_H1f2 zenon_H14f zenon_H150 zenon_H151 zenon_H14a zenon_H144 zenon_H177 zenon_H97. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H1a. zenon_intro zenon_H14b. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H13b. zenon_intro zenon_H14c. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H14c). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1be ]. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H98 ]. % 1.22/1.40 apply (zenon_L709_); trivial. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H98). zenon_intro zenon_H1a. zenon_intro zenon_H99. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H99). zenon_intro zenon_H9b. zenon_intro zenon_H9a. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H9a). zenon_intro zenon_H6f. zenon_intro zenon_H70. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hd6 ]. % 1.22/1.40 apply (zenon_L87_); trivial. % 1.22/1.40 apply (zenon_L760_); trivial. % 1.22/1.40 apply (zenon_L689_); trivial. % 1.22/1.40 (* end of lemma zenon_L761_ *) % 1.22/1.40 assert (zenon_L762_ : ((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp11)) -> (c0_1 (a18)) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> (~(hskp4)) -> (c0_1 (a15)) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> ((hskp24)\/((hskp23)\/(hskp0))) -> (~(hskp0)) -> ((hskp25)\/((hskp17)\/(hskp21))) -> (~(hskp17)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a11))/\((c1_1 (a11))/\(c3_1 (a11)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp27)\/(hskp26))) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(c3_1 (a18))) -> (c2_1 (a18)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(hskp5)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp5))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> (~(hskp1)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> False). % 1.22/1.40 do 0 intro. intros zenon_H17c zenon_H17b zenon_H93 zenon_H91 zenon_He0 zenon_H9d zenon_H1a9 zenon_Hd zenon_H117 zenon_H116 zenon_H115 zenon_H17 zenon_H15 zenon_H130 zenon_H9 zenon_H97 zenon_H177 zenon_H14a zenon_H1f2 zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_Hfc zenon_Hc1 zenon_Hc2 zenon_Hd3 zenon_Hd4 zenon_Hdc zenon_H1c1 zenon_H167 zenon_H48 zenon_Hde zenon_H162 zenon_H166. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H17c). zenon_intro zenon_H1a. zenon_intro zenon_H17d. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H14f. zenon_intro zenon_H17e. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_H150. zenon_intro zenon_H151. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H12e | zenon_intro zenon_H161 ]. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H13 | zenon_intro zenon_Ha1 ]. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H11 | zenon_intro zenon_H41 ]. % 1.22/1.40 apply (zenon_L12_); trivial. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H1a. zenon_intro zenon_H44. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H1d. zenon_intro zenon_H45. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H1e. zenon_intro zenon_H1f. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H12c | zenon_intro zenon_H148 ]. % 1.22/1.40 apply (zenon_L81_); trivial. % 1.22/1.40 apply (zenon_L761_); trivial. % 1.22/1.40 apply (zenon_L511_); trivial. % 1.22/1.40 apply (zenon_L89_); trivial. % 1.22/1.40 apply (zenon_L153_); trivial. % 1.22/1.40 (* end of lemma zenon_L762_ *) % 1.22/1.40 assert (zenon_L763_ : ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp11)) -> (c0_1 (a18)) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> (~(hskp4)) -> (c0_1 (a15)) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> ((hskp24)\/((hskp23)\/(hskp0))) -> (~(hskp0)) -> ((hskp25)\/((hskp17)\/(hskp21))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a11))/\((c1_1 (a11))/\(c3_1 (a11)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp27)\/(hskp26))) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(c3_1 (a18))) -> (c2_1 (a18)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(hskp5)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp5))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> (~(hskp1)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> (ndr1_0) -> (~(c2_1 (a14))) -> (c0_1 (a14)) -> (c3_1 (a14)) -> (~(hskp17)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> False). % 1.22/1.40 do 0 intro. intros zenon_H17a zenon_H17b zenon_H93 zenon_H91 zenon_He0 zenon_H9d zenon_H1a9 zenon_Hd zenon_H117 zenon_H116 zenon_H115 zenon_H17 zenon_H15 zenon_H130 zenon_H97 zenon_H177 zenon_H14a zenon_H1f2 zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_Hfc zenon_Hc1 zenon_Hc2 zenon_Hd3 zenon_Hd4 zenon_Hdc zenon_H1c1 zenon_H167 zenon_H48 zenon_Hde zenon_H162 zenon_H166 zenon_H1a zenon_H11f zenon_H120 zenon_H121 zenon_H9 zenon_H12a. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H128 | zenon_intro zenon_H17c ]. % 1.22/1.40 apply (zenon_L78_); trivial. % 1.22/1.40 apply (zenon_L762_); trivial. % 1.22/1.40 (* end of lemma zenon_L763_ *) % 1.22/1.40 assert (zenon_L764_ : ((ndr1_0)/\((c0_1 (a18))/\((c2_1 (a18))/\(~(c3_1 (a18)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a30))/\((~(c0_1 (a30)))/\(~(c2_1 (a30))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> (c3_1 (a14)) -> (c0_1 (a14)) -> (~(c2_1 (a14))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(hskp5)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp5))) -> (~(hskp0)) -> ((hskp24)\/((hskp23)\/(hskp0))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (c0_1 (a15)) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((hskp26)\/(hskp16))) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (~(c2_1 (a16))) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> False). % 1.22/1.40 do 0 intro. intros zenon_H217 zenon_H20a zenon_H9c zenon_H42 zenon_H12a zenon_H121 zenon_H120 zenon_H11f zenon_H48 zenon_H177 zenon_Hd3 zenon_Hd4 zenon_Hdc zenon_H15 zenon_H17 zenon_H115 zenon_H116 zenon_H117 zenon_Hd zenon_H1a9 zenon_H9d zenon_H17a zenon_H1ff zenon_Heb zenon_Hea zenon_He9 zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_Hfc zenon_H1c1. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H1a. zenon_intro zenon_H218. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_He0. zenon_intro zenon_H219. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_Hc2. zenon_intro zenon_Hc1. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H20a); [ zenon_intro zenon_H1fd | zenon_intro zenon_H20b ]. % 1.22/1.40 apply (zenon_L757_); trivial. % 1.22/1.40 apply (zenon_L580_); trivial. % 1.22/1.40 (* end of lemma zenon_L764_ *) % 1.22/1.40 assert (zenon_L765_ : ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((hskp9)\/(hskp24))) -> (c0_1 (a8)) -> (c1_1 (a8)) -> (~(c2_1 (a8))) -> (ndr1_0) -> (forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48)))))) -> (~(hskp9)) -> (~(hskp24)) -> False). % 1.22/1.40 do 0 intro. intros zenon_H7b zenon_H228 zenon_H220 zenon_H21f zenon_H1a zenon_He8 zenon_H3 zenon_H11. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H7b); [ zenon_intro zenon_H6d | zenon_intro zenon_H7c ]. % 1.22/1.40 apply (zenon_L223_); trivial. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H7c); [ zenon_intro zenon_H4 | zenon_intro zenon_H12 ]. % 1.22/1.40 exact (zenon_H3 zenon_H4). % 1.22/1.40 exact (zenon_H11 zenon_H12). % 1.22/1.40 (* end of lemma zenon_L765_ *) % 1.22/1.40 assert (zenon_L766_ : ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(hskp24)) -> (~(hskp9)) -> (~(c2_1 (a8))) -> (c1_1 (a8)) -> (c0_1 (a8)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((hskp9)\/(hskp24))) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(hskp7)) -> (~(hskp7)) -> (c2_1 (a31)) -> (c0_1 (a31)) -> (~(c1_1 (a31))) -> (ndr1_0) -> False). % 1.22/1.40 do 0 intro. intros zenon_Hfc zenon_H11 zenon_H3 zenon_H21f zenon_H220 zenon_H228 zenon_H7b zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_Hb7 zenon_H1 zenon_H33 zenon_H3c zenon_H32 zenon_H1a. % 1.22/1.40 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfd ]. % 1.22/1.40 apply (zenon_L765_); trivial. % 1.22/1.40 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hf3 | zenon_intro zenon_Hcd ]. % 1.22/1.40 apply (zenon_L687_); trivial. % 1.22/1.40 apply (zenon_L50_); trivial. % 1.22/1.40 (* end of lemma zenon_L766_ *) % 1.22/1.40 assert (zenon_L767_ : ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(hskp19)) -> (forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36)))))) -> (~(c2_1 (a8))) -> (c1_1 (a8)) -> (c0_1 (a8)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> (ndr1_0) -> (forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32)))))) -> (c1_1 (a3)) -> (c3_1 (a3)) -> (c2_1 (a3)) -> False). % 1.22/1.40 do 0 intro. intros zenon_Hfc zenon_H144 zenon_H49 zenon_H21f zenon_H220 zenon_H228 zenon_H14a zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_H1a zenon_H1b zenon_H1d zenon_H1f zenon_H1e. % 1.22/1.40 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfd ]. % 1.22/1.40 apply (zenon_L235_); trivial. % 1.22/1.40 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hf3 | zenon_intro zenon_Hcd ]. % 1.22/1.40 apply (zenon_L687_); trivial. % 1.22/1.40 apply (zenon_L128_); trivial. % 1.22/1.40 (* end of lemma zenon_L767_ *) % 1.22/1.40 assert (zenon_L768_ : ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(hskp19)) -> (forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32)))))) -> (c1_1 (a3)) -> (c2_1 (a3)) -> (c3_1 (a3)) -> (~(c2_1 (a8))) -> (c1_1 (a8)) -> (c0_1 (a8)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> (forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37)))))) -> (ndr1_0) -> (c0_1 (a31)) -> (c2_1 (a31)) -> False). % 1.22/1.40 do 0 intro. intros zenon_Hfc zenon_H144 zenon_H1b zenon_H1d zenon_H1e zenon_H1f zenon_H21f zenon_H220 zenon_H228 zenon_H14a zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_H8e zenon_H1a zenon_H3c zenon_H33. % 1.22/1.40 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfd ]. % 1.22/1.40 apply (zenon_L224_); trivial. % 1.22/1.40 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hf3 | zenon_intro zenon_Hcd ]. % 1.22/1.40 apply (zenon_L687_); trivial. % 1.22/1.40 apply (zenon_L116_); trivial. % 1.22/1.40 (* end of lemma zenon_L768_ *) % 1.22/1.40 assert (zenon_L769_ : ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (c2_1 (a31)) -> (c0_1 (a31)) -> (ndr1_0) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c0_1 (a8)) -> (c1_1 (a8)) -> (~(c2_1 (a8))) -> (c3_1 (a3)) -> (c2_1 (a3)) -> (c1_1 (a3)) -> (forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32)))))) -> (~(hskp19)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(hskp11)) -> False). % 1.22/1.40 do 0 intro. intros zenon_H93 zenon_H33 zenon_H3c zenon_H1a zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_H14a zenon_H228 zenon_H220 zenon_H21f zenon_H1f zenon_H1e zenon_H1d zenon_H1b zenon_H144 zenon_Hfc zenon_H91. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H49 | zenon_intro zenon_H94 ]. % 1.22/1.40 apply (zenon_L767_); trivial. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H8e | zenon_intro zenon_H92 ]. % 1.22/1.40 apply (zenon_L768_); trivial. % 1.22/1.40 exact (zenon_H91 zenon_H92). % 1.22/1.40 (* end of lemma zenon_L769_ *) % 1.22/1.40 assert (zenon_L770_ : ((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> (~(hskp10)) -> (~(c1_1 (a31))) -> (c2_1 (a31)) -> (c0_1 (a31)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c0_1 (a8)) -> (c1_1 (a8)) -> (~(c2_1 (a8))) -> (~(hskp19)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(hskp11)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp4)) -> False). % 1.22/1.40 do 0 intro. intros zenon_H41 zenon_H42 zenon_H2d zenon_H32 zenon_H33 zenon_H3c zenon_H93 zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_H14a zenon_H228 zenon_H220 zenon_H21f zenon_H144 zenon_Hfc zenon_H91 zenon_H43 zenon_Hd. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H1a. zenon_intro zenon_H44. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H1d. zenon_intro zenon_H45. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H1e. zenon_intro zenon_H1f. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H1b | zenon_intro zenon_H46 ]. % 1.22/1.40 apply (zenon_L769_); trivial. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_He ]. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H43); [ zenon_intro zenon_H1b | zenon_intro zenon_H47 ]. % 1.22/1.40 apply (zenon_L769_); trivial. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H47); [ zenon_intro zenon_H31 | zenon_intro zenon_H2e ]. % 1.22/1.40 apply (zenon_L19_); trivial. % 1.22/1.40 exact (zenon_H2d zenon_H2e). % 1.22/1.40 exact (zenon_Hd zenon_He). % 1.22/1.40 (* end of lemma zenon_L770_ *) % 1.22/1.40 assert (zenon_L771_ : ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(hskp19)) -> (forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36)))))) -> (c2_1 (a3)) -> (c3_1 (a3)) -> (c1_1 (a3)) -> (~(c2_1 (a8))) -> (c1_1 (a8)) -> (c0_1 (a8)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> (forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10)))))) -> (ndr1_0) -> (~(c1_1 (a31))) -> (c0_1 (a31)) -> (c2_1 (a31)) -> False). % 1.22/1.40 do 0 intro. intros zenon_Hfc zenon_H144 zenon_H49 zenon_H1e zenon_H1f zenon_H1d zenon_H21f zenon_H220 zenon_H228 zenon_H14a zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_H3b zenon_H1a zenon_H32 zenon_H3c zenon_H33. % 1.22/1.40 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfd ]. % 1.22/1.40 apply (zenon_L235_); trivial. % 1.22/1.40 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hf3 | zenon_intro zenon_Hcd ]. % 1.22/1.40 apply (zenon_L687_); trivial. % 1.22/1.40 apply (zenon_L155_); trivial. % 1.22/1.40 (* end of lemma zenon_L771_ *) % 1.22/1.40 assert (zenon_L772_ : ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (c2_1 (a31)) -> (c0_1 (a31)) -> (~(c1_1 (a31))) -> (forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10)))))) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c0_1 (a8)) -> (c1_1 (a8)) -> (~(c2_1 (a8))) -> (c1_1 (a3)) -> (c3_1 (a3)) -> (c2_1 (a3)) -> (~(hskp19)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c2_1 (a18)) -> (c0_1 (a18)) -> (~(c3_1 (a18))) -> (ndr1_0) -> (~(hskp11)) -> False). % 1.22/1.40 do 0 intro. intros zenon_H93 zenon_H33 zenon_H3c zenon_H32 zenon_H3b zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_H14a zenon_H228 zenon_H220 zenon_H21f zenon_H1d zenon_H1f zenon_H1e zenon_H144 zenon_Hfc zenon_Hc2 zenon_He0 zenon_Hc1 zenon_H1a zenon_H91. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H49 | zenon_intro zenon_H94 ]. % 1.22/1.40 apply (zenon_L771_); trivial. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H8e | zenon_intro zenon_H92 ]. % 1.22/1.40 apply (zenon_L59_); trivial. % 1.22/1.40 exact (zenon_H91 zenon_H92). % 1.22/1.40 (* end of lemma zenon_L772_ *) % 1.22/1.40 assert (zenon_L773_ : ((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> (~(hskp11)) -> (~(c3_1 (a18))) -> (c0_1 (a18)) -> (c2_1 (a18)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(hskp19)) -> (~(c2_1 (a8))) -> (c1_1 (a8)) -> (c0_1 (a8)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> (~(c1_1 (a31))) -> (c0_1 (a31)) -> (c2_1 (a31)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp4)) -> False). % 1.22/1.40 do 0 intro. intros zenon_H41 zenon_H42 zenon_H91 zenon_Hc1 zenon_He0 zenon_Hc2 zenon_Hfc zenon_H144 zenon_H21f zenon_H220 zenon_H228 zenon_H14a zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_H32 zenon_H3c zenon_H33 zenon_H93 zenon_Hd. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H1a. zenon_intro zenon_H44. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H1d. zenon_intro zenon_H45. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H1e. zenon_intro zenon_H1f. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H1b | zenon_intro zenon_H46 ]. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H49 | zenon_intro zenon_H94 ]. % 1.22/1.40 apply (zenon_L767_); trivial. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H8e | zenon_intro zenon_H92 ]. % 1.22/1.40 apply (zenon_L59_); trivial. % 1.22/1.40 exact (zenon_H91 zenon_H92). % 1.22/1.40 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_He ]. % 1.22/1.40 apply (zenon_L772_); trivial. % 1.22/1.40 exact (zenon_Hd zenon_He). % 1.22/1.40 (* end of lemma zenon_L773_ *) % 1.22/1.40 assert (zenon_L774_ : ((ndr1_0)/\((c0_1 (a18))/\((c2_1 (a18))/\(~(c3_1 (a18)))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a19))/\((~(c1_1 (a19)))/\(~(c3_1 (a19))))))) -> ((hskp17)\/((hskp8)\/(hskp4))) -> (~(hskp4)) -> (~(hskp8)) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((hskp9)\/(hskp24))) -> (~(hskp9)) -> (c0_1 (a8)) -> (c1_1 (a8)) -> (~(c2_1 (a8))) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(hskp7)) -> (~(hskp7)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> False). % 1.22/1.40 do 0 intro. intros zenon_H217 zenon_H213 zenon_Hf zenon_Hd zenon_Hb zenon_H48 zenon_H42 zenon_H14a zenon_H93 zenon_H7b zenon_H3 zenon_H228 zenon_H220 zenon_H21f zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_Hb7 zenon_H1 zenon_Hfc zenon_H17b zenon_H9c. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H1a. zenon_intro zenon_H218. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_He0. zenon_intro zenon_H219. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_Hc2. zenon_intro zenon_Hc1. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H91 | zenon_intro zenon_He5 ]. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.22/1.40 apply (zenon_L8_); trivial. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.22/1.40 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H11 | zenon_intro zenon_H41 ]. % 1.22/1.40 apply (zenon_L766_); trivial. % 1.22/1.40 apply (zenon_L773_); trivial. % 1.22/1.40 apply (zenon_L153_); trivial. % 1.22/1.40 apply (zenon_L62_); trivial. % 1.22/1.40 (* end of lemma zenon_L774_ *) % 1.22/1.40 assert (zenon_L775_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> (~(hskp4)) -> (~(c1_1 (a31))) -> (~(hskp10)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> (~(c2_1 (a8))) -> (c1_1 (a8)) -> (c0_1 (a8)) -> (~(hskp19)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c2_1 (a31)) -> (c0_1 (a31)) -> (~(hskp11)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp23)) -> (~(hskp0)) -> ((hskp24)\/((hskp23)\/(hskp0))) -> False). % 1.22/1.40 do 0 intro. intros zenon_H48 zenon_H42 zenon_Hd zenon_H32 zenon_H2d zenon_H43 zenon_Hfc zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_H21f zenon_H220 zenon_H228 zenon_H144 zenon_H14a zenon_H33 zenon_H3c zenon_H91 zenon_H93 zenon_H13 zenon_H15 zenon_H17. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H11 | zenon_intro zenon_H41 ]. % 1.22/1.40 apply (zenon_L12_); trivial. % 1.22/1.40 apply (zenon_L770_); trivial. % 1.22/1.40 (* end of lemma zenon_L775_ *) % 1.22/1.40 assert (zenon_L776_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> (~(hskp4)) -> (c2_1 (a31)) -> (c0_1 (a31)) -> (~(c1_1 (a31))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> (~(c2_1 (a8))) -> (c1_1 (a8)) -> (c0_1 (a8)) -> (~(hskp19)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(c3_1 (a18))) -> (c0_1 (a18)) -> (c2_1 (a18)) -> (~(hskp11)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp23)) -> (~(hskp0)) -> ((hskp24)\/((hskp23)\/(hskp0))) -> False). % 1.22/1.40 do 0 intro. intros zenon_H48 zenon_H42 zenon_Hd zenon_H33 zenon_H3c zenon_H32 zenon_Hfc zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_H21f zenon_H220 zenon_H228 zenon_H144 zenon_H14a zenon_Hc1 zenon_He0 zenon_Hc2 zenon_H91 zenon_H93 zenon_H13 zenon_H15 zenon_H17. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H11 | zenon_intro zenon_H41 ]. % 1.22/1.40 apply (zenon_L12_); trivial. % 1.22/1.40 apply (zenon_L773_); trivial. % 1.22/1.40 (* end of lemma zenon_L776_ *) % 1.22/1.40 assert (zenon_L777_ : ((~(hskp23))\/((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (~(c2_1 (a16))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(hskp7)) -> (~(hskp7)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((hskp24)\/((hskp23)\/(hskp0))) -> (~(hskp0)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp11)) -> (c2_1 (a18)) -> (c0_1 (a18)) -> (~(c3_1 (a18))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp19)) -> (c0_1 (a8)) -> (c1_1 (a8)) -> (~(c2_1 (a8))) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(c1_1 (a31))) -> (c0_1 (a31)) -> (c2_1 (a31)) -> (~(hskp4)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> False). % 1.22/1.40 do 0 intro. intros zenon_H9d zenon_H1a9 zenon_Heb zenon_Hea zenon_He9 zenon_Hb7 zenon_H1 zenon_Hd3 zenon_H17 zenon_H15 zenon_H93 zenon_H91 zenon_Hc2 zenon_He0 zenon_Hc1 zenon_H14a zenon_H144 zenon_H228 zenon_H220 zenon_H21f zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_Hfc zenon_H32 zenon_H3c zenon_H33 zenon_Hd zenon_H42 zenon_H48. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H13 | zenon_intro zenon_Ha1 ]. % 1.22/1.40 apply (zenon_L776_); trivial. % 1.22/1.40 apply (zenon_L704_); trivial. % 1.22/1.40 (* end of lemma zenon_L777_ *) % 1.22/1.40 assert (zenon_L778_ : ((~(hskp9))\/((ndr1_0)/\((c0_1 (a16))/\((~(c2_1 (a16)))/\(~(c3_1 (a16))))))) -> (~(hskp0)) -> ((hskp24)\/((hskp23)\/(hskp0))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a19))/\((~(c1_1 (a19)))/\(~(c3_1 (a19))))))) -> ((hskp17)\/((hskp8)\/(hskp4))) -> (~(hskp4)) -> (~(hskp8)) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((hskp9)\/(hskp24))) -> (c0_1 (a8)) -> (c1_1 (a8)) -> (~(c2_1 (a8))) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(hskp7)) -> (~(hskp7)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a18))/\((c2_1 (a18))/\(~(c3_1 (a18))))))) -> False). % 1.22/1.40 do 0 intro. intros zenon_H215 zenon_H15 zenon_H17 zenon_Hd3 zenon_H1a9 zenon_H9d zenon_H213 zenon_Hf zenon_Hd zenon_Hb zenon_H48 zenon_H42 zenon_H43 zenon_H14a zenon_H93 zenon_H7b zenon_H228 zenon_H220 zenon_H21f zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_Hb7 zenon_H1 zenon_Hfc zenon_H95 zenon_H17b zenon_H9c zenon_H212. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H3 | zenon_intro zenon_H216 ]. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H2d | zenon_intro zenon_H217 ]. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H91 | zenon_intro zenon_He5 ]. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.22/1.40 apply (zenon_L8_); trivial. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.22/1.40 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H11 | zenon_intro zenon_H41 ]. % 1.22/1.40 apply (zenon_L766_); trivial. % 1.22/1.40 apply (zenon_L770_); trivial. % 1.22/1.40 apply (zenon_L724_); trivial. % 1.22/1.40 apply (zenon_L62_); trivial. % 1.22/1.40 apply (zenon_L774_); trivial. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_H1a. zenon_intro zenon_H21a. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_Heb. zenon_intro zenon_H21b. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_He9. zenon_intro zenon_Hea. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H2d | zenon_intro zenon_H217 ]. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H91 | zenon_intro zenon_He5 ]. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.22/1.40 apply (zenon_L8_); trivial. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.22/1.40 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H13 | zenon_intro zenon_Ha1 ]. % 1.22/1.40 apply (zenon_L775_); trivial. % 1.22/1.40 apply (zenon_L704_); trivial. % 1.22/1.40 apply (zenon_L724_); trivial. % 1.22/1.40 apply (zenon_L62_); trivial. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H1a. zenon_intro zenon_H218. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_He0. zenon_intro zenon_H219. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_Hc2. zenon_intro zenon_Hc1. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H91 | zenon_intro zenon_He5 ]. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.22/1.40 apply (zenon_L8_); trivial. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.22/1.40 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.22/1.40 apply (zenon_L777_); trivial. % 1.22/1.40 apply (zenon_L153_); trivial. % 1.22/1.40 apply (zenon_L62_); trivial. % 1.22/1.40 (* end of lemma zenon_L778_ *) % 1.22/1.40 assert (zenon_L779_ : ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c0_1 (a15)) -> (~(c1_1 (a15))) -> (forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42)))))) -> (~(c2_1 (a15))) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> (ndr1_0) -> (forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1)))))) -> (c1_1 (a3)) -> (c2_1 (a3)) -> (c3_1 (a3)) -> False). % 1.22/1.40 do 0 intro. intros zenon_Hfc zenon_H117 zenon_H115 zenon_H132 zenon_H116 zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_H1a zenon_Hd6 zenon_H1d zenon_H1e zenon_H1f. % 1.22/1.40 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfd ]. % 1.22/1.40 apply (zenon_L584_); trivial. % 1.22/1.40 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hf3 | zenon_intro zenon_Hcd ]. % 1.22/1.40 apply (zenon_L687_); trivial. % 1.22/1.40 apply (zenon_L53_); trivial. % 1.22/1.40 (* end of lemma zenon_L779_ *) % 1.22/1.40 assert (zenon_L780_ : ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> (c0_1 (a15)) -> (c3_1 (a3)) -> (c2_1 (a3)) -> (c1_1 (a3)) -> (forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1)))))) -> (ndr1_0) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> (~(c2_1 (a8))) -> (c0_1 (a8)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(hskp15)) -> False). % 1.22/1.40 do 0 intro. intros zenon_H149 zenon_H116 zenon_H115 zenon_H117 zenon_H1f zenon_H1e zenon_H1d zenon_Hd6 zenon_H1a zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_H21f zenon_H228 zenon_Hfc zenon_H146. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H132 | zenon_intro zenon_H14d ]. % 1.22/1.40 apply (zenon_L779_); trivial. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H11e | zenon_intro zenon_H147 ]. % 1.22/1.40 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfd ]. % 1.22/1.40 apply (zenon_L231_); trivial. % 1.22/1.40 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hf3 | zenon_intro zenon_Hcd ]. % 1.22/1.40 apply (zenon_L687_); trivial. % 1.22/1.40 apply (zenon_L53_); trivial. % 1.22/1.40 exact (zenon_H146 zenon_H147). % 1.22/1.40 (* end of lemma zenon_L780_ *) % 1.22/1.40 assert (zenon_L781_ : ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp27)\/(hskp26))) -> (~(hskp15)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c0_1 (a8)) -> (~(c2_1 (a8))) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> (ndr1_0) -> (c1_1 (a3)) -> (c2_1 (a3)) -> (c3_1 (a3)) -> (c0_1 (a15)) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (~(hskp27)) -> (~(hskp26)) -> False). % 1.22/1.40 do 0 intro. intros zenon_H1f2 zenon_H146 zenon_Hfc zenon_H228 zenon_H21f zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_H1a zenon_H1d zenon_H1e zenon_H1f zenon_H117 zenon_H115 zenon_H116 zenon_H149 zenon_H59 zenon_H1b3. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H1f3 ]. % 1.22/1.40 apply (zenon_L780_); trivial. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H5a | zenon_intro zenon_H1b4 ]. % 1.22/1.40 exact (zenon_H59 zenon_H5a). % 1.22/1.40 exact (zenon_H1b3 zenon_H1b4). % 1.22/1.40 (* end of lemma zenon_L781_ *) % 1.22/1.40 assert (zenon_L782_ : ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c0_1 (a15)) -> (~(c1_1 (a15))) -> (forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42)))))) -> (~(c2_1 (a15))) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> (c3_1 (a11)) -> (c0_1 (a11)) -> (ndr1_0) -> (~(hskp17)) -> (~(hskp18)) -> False). % 1.22/1.40 do 0 intro. intros zenon_Hfc zenon_H117 zenon_H115 zenon_H132 zenon_H116 zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_H12a zenon_H70 zenon_H9b zenon_H1a zenon_H9 zenon_H128. % 1.22/1.40 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfd ]. % 1.22/1.40 apply (zenon_L584_); trivial. % 1.22/1.40 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hf3 | zenon_intro zenon_Hcd ]. % 1.22/1.40 apply (zenon_L687_); trivial. % 1.22/1.40 apply (zenon_L353_); trivial. % 1.22/1.40 (* end of lemma zenon_L782_ *) % 1.22/1.40 assert (zenon_L783_ : ((ndr1_0)/\((c0_1 (a11))/\((c1_1 (a11))/\(c3_1 (a11))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> (c0_1 (a15)) -> (~(hskp18)) -> (~(hskp17)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> (~(c2_1 (a8))) -> (c0_1 (a8)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(hskp15)) -> False). % 1.22/1.40 do 0 intro. intros zenon_H98 zenon_H149 zenon_H116 zenon_H115 zenon_H117 zenon_H128 zenon_H9 zenon_H12a zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_H21f zenon_H228 zenon_Hfc zenon_H146. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H98). zenon_intro zenon_H1a. zenon_intro zenon_H99. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H99). zenon_intro zenon_H9b. zenon_intro zenon_H9a. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H9a). zenon_intro zenon_H6f. zenon_intro zenon_H70. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H132 | zenon_intro zenon_H14d ]. % 1.22/1.40 apply (zenon_L782_); trivial. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H11e | zenon_intro zenon_H147 ]. % 1.22/1.40 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfd ]. % 1.22/1.40 apply (zenon_L231_); trivial. % 1.22/1.40 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hf3 | zenon_intro zenon_Hcd ]. % 1.22/1.40 apply (zenon_L687_); trivial. % 1.22/1.40 apply (zenon_L353_); trivial. % 1.22/1.40 exact (zenon_H146 zenon_H147). % 1.22/1.40 (* end of lemma zenon_L783_ *) % 1.22/1.40 assert (zenon_L784_ : ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c0_1 (a8)) -> (forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43)))))) -> (~(c2_1 (a8))) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> (ndr1_0) -> (c0_1 (a10)) -> (c2_1 (a10)) -> (c3_1 (a10)) -> False). % 1.22/1.40 do 0 intro. intros zenon_Hfc zenon_H228 zenon_H11e zenon_H21f zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_H1a zenon_H1b5 zenon_H1b6 zenon_H1b7. % 1.22/1.40 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfd ]. % 1.22/1.40 apply (zenon_L231_); trivial. % 1.22/1.40 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hf3 | zenon_intro zenon_Hcd ]. % 1.22/1.40 apply (zenon_L687_); trivial. % 1.22/1.40 apply (zenon_L133_); trivial. % 1.22/1.40 (* end of lemma zenon_L784_ *) % 1.22/1.40 assert (zenon_L785_ : ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (c3_1 (a3)) -> (c2_1 (a3)) -> (c1_1 (a3)) -> (forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1)))))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> (c0_1 (a15)) -> (c3_1 (a10)) -> (c2_1 (a10)) -> (c0_1 (a10)) -> (ndr1_0) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> (~(c2_1 (a8))) -> (c0_1 (a8)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(hskp15)) -> False). % 1.22/1.40 do 0 intro. intros zenon_H149 zenon_H1f zenon_H1e zenon_H1d zenon_Hd6 zenon_H116 zenon_H115 zenon_H117 zenon_H1b7 zenon_H1b6 zenon_H1b5 zenon_H1a zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_H21f zenon_H228 zenon_Hfc zenon_H146. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H132 | zenon_intro zenon_H14d ]. % 1.22/1.40 apply (zenon_L779_); trivial. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H11e | zenon_intro zenon_H147 ]. % 1.22/1.40 apply (zenon_L784_); trivial. % 1.22/1.40 exact (zenon_H146 zenon_H147). % 1.22/1.40 (* end of lemma zenon_L785_ *) % 1.22/1.40 assert (zenon_L786_ : ((~(hskp23))\/((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> (~(hskp4)) -> ((hskp24)\/((hskp23)\/(hskp0))) -> (~(hskp0)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a11))/\((c1_1 (a11))/\(c3_1 (a11)))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> (~(hskp18)) -> (~(hskp17)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (~(hskp15)) -> (~(c2_1 (a8))) -> (c0_1 (a8)) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> (c0_1 (a15)) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp27)\/(hskp26))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp27)\/(hskp7))) -> (~(hskp7)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> False). % 1.22/1.40 do 0 intro. intros zenon_H9d zenon_H1a9 zenon_Hd zenon_H17 zenon_H15 zenon_H97 zenon_H12a zenon_H128 zenon_H9 zenon_H149 zenon_H146 zenon_H21f zenon_H228 zenon_H116 zenon_H115 zenon_H117 zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_Hfc zenon_H1f2 zenon_H299 zenon_H1 zenon_H1c1 zenon_H48. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H13 | zenon_intro zenon_Ha1 ]. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H11 | zenon_intro zenon_H41 ]. % 1.22/1.40 apply (zenon_L12_); trivial. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H1a. zenon_intro zenon_H44. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H1d. zenon_intro zenon_H45. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H1e. zenon_intro zenon_H1f. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1be ]. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H98 ]. % 1.22/1.40 apply (zenon_L781_); trivial. % 1.22/1.40 apply (zenon_L783_); trivial. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H1a. zenon_intro zenon_H1bf. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H1bf). zenon_intro zenon_H1b5. zenon_intro zenon_H1c0. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H1c0). zenon_intro zenon_H1b6. zenon_intro zenon_H1b7. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H98 ]. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H299); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H29a ]. % 1.22/1.40 apply (zenon_L785_); trivial. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H29a); [ zenon_intro zenon_H5a | zenon_intro zenon_H2 ]. % 1.22/1.40 exact (zenon_H59 zenon_H5a). % 1.22/1.40 exact (zenon_H1 zenon_H2). % 1.22/1.40 apply (zenon_L783_); trivial. % 1.22/1.40 apply (zenon_L511_); trivial. % 1.22/1.40 (* end of lemma zenon_L786_ *) % 1.22/1.40 assert (zenon_L787_ : ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(hskp19)) -> (forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36)))))) -> (~(c2_1 (a8))) -> (c1_1 (a8)) -> (c0_1 (a8)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> (ndr1_0) -> (forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1)))))) -> (c1_1 (a3)) -> (c2_1 (a3)) -> (c3_1 (a3)) -> False). % 1.22/1.40 do 0 intro. intros zenon_Hfc zenon_H144 zenon_H49 zenon_H21f zenon_H220 zenon_H228 zenon_H14a zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_H1a zenon_Hd6 zenon_H1d zenon_H1e zenon_H1f. % 1.22/1.40 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfd ]. % 1.22/1.40 apply (zenon_L235_); trivial. % 1.22/1.40 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hf3 | zenon_intro zenon_Hcd ]. % 1.22/1.40 apply (zenon_L687_); trivial. % 1.22/1.40 apply (zenon_L53_); trivial. % 1.22/1.40 (* end of lemma zenon_L787_ *) % 1.22/1.40 assert (zenon_L788_ : ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c0_1 (a8)) -> (forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43)))))) -> (~(c2_1 (a8))) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> (forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37)))))) -> (ndr1_0) -> (c0_1 (a9)) -> (c2_1 (a9)) -> False). % 1.22/1.40 do 0 intro. intros zenon_Hfc zenon_H228 zenon_H11e zenon_H21f zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_H8e zenon_H1a zenon_H13b zenon_H13d. % 1.22/1.40 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfd ]. % 1.22/1.40 apply (zenon_L231_); trivial. % 1.22/1.40 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hf3 | zenon_intro zenon_Hcd ]. % 1.22/1.40 apply (zenon_L687_); trivial. % 1.22/1.40 apply (zenon_L605_); trivial. % 1.22/1.40 (* end of lemma zenon_L788_ *) % 1.22/1.40 assert (zenon_L789_ : ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c1_1 (a8)) -> (~(hskp19)) -> (~(hskp15)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c0_1 (a8)) -> (~(c2_1 (a8))) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> (ndr1_0) -> (c0_1 (a9)) -> (c2_1 (a9)) -> (c0_1 (a15)) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1)))))) -> (c1_1 (a3)) -> (c2_1 (a3)) -> (c3_1 (a3)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (~(hskp11)) -> False). % 1.22/1.40 do 0 intro. intros zenon_H93 zenon_H14a zenon_H220 zenon_H144 zenon_H146 zenon_Hfc zenon_H228 zenon_H21f zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_H1a zenon_H13b zenon_H13d zenon_H117 zenon_H115 zenon_H116 zenon_Hd6 zenon_H1d zenon_H1e zenon_H1f zenon_H149 zenon_H91. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H49 | zenon_intro zenon_H94 ]. % 1.22/1.40 apply (zenon_L787_); trivial. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H8e | zenon_intro zenon_H92 ]. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H132 | zenon_intro zenon_H14d ]. % 1.22/1.40 apply (zenon_L779_); trivial. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H11e | zenon_intro zenon_H147 ]. % 1.22/1.40 apply (zenon_L788_); trivial. % 1.22/1.40 exact (zenon_H146 zenon_H147). % 1.22/1.40 exact (zenon_H91 zenon_H92). % 1.22/1.40 (* end of lemma zenon_L789_ *) % 1.22/1.40 assert (zenon_L790_ : ((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> (~(c2_1 (a8))) -> (c1_1 (a8)) -> (c0_1 (a8)) -> (c2_1 (a3)) -> (c3_1 (a3)) -> (c1_1 (a3)) -> (~(hskp19)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (~(hskp15)) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> (c0_1 (a15)) -> (~(hskp11)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(c3_1 (a32))) -> (~(c1_1 (a32))) -> (~(c0_1 (a32))) -> False). % 1.22/1.40 do 0 intro. intros zenon_H148 zenon_H177 zenon_Hfc zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_H21f zenon_H220 zenon_H228 zenon_H1e zenon_H1f zenon_H1d zenon_H144 zenon_H14a zenon_H149 zenon_H146 zenon_H116 zenon_H115 zenon_H117 zenon_H91 zenon_H93 zenon_H151 zenon_H150 zenon_H14f. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H1a. zenon_intro zenon_H14b. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H13b. zenon_intro zenon_H14c. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H14c). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hd6 ]. % 1.22/1.40 apply (zenon_L87_); trivial. % 1.22/1.40 apply (zenon_L789_); trivial. % 1.22/1.40 (* end of lemma zenon_L790_ *) % 1.22/1.40 assert (zenon_L791_ : ((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp10)) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (c0_1 (a15)) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> (~(c3_1 (a32))) -> (~(c1_1 (a32))) -> (~(c0_1 (a32))) -> False). % 1.22/1.40 do 0 intro. intros zenon_H176 zenon_H177 zenon_H43 zenon_H2d zenon_H115 zenon_H116 zenon_H117 zenon_Hd zenon_H1a9 zenon_H151 zenon_H150 zenon_H14f. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1a. zenon_intro zenon_H178. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H16a. zenon_intro zenon_H179. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H171. zenon_intro zenon_H168. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hd6 ]. % 1.22/1.40 apply (zenon_L87_); trivial. % 1.22/1.40 apply (zenon_L566_); trivial. % 1.22/1.40 (* end of lemma zenon_L791_ *) % 1.22/1.40 assert (zenon_L792_ : ((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp10)) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> (~(hskp4)) -> ((hskp24)\/((hskp23)\/(hskp0))) -> (~(hskp0)) -> ((hskp25)\/((hskp17)\/(hskp21))) -> (~(hskp17)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp11)) -> (c0_1 (a15)) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(hskp15)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c0_1 (a8)) -> (c1_1 (a8)) -> (~(c2_1 (a8))) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> (~(hskp1)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> False). % 1.22/1.40 do 0 intro. intros zenon_H17c zenon_H17b zenon_H43 zenon_H2d zenon_H9d zenon_H1a9 zenon_Hd zenon_H17 zenon_H15 zenon_H130 zenon_H9 zenon_H93 zenon_H91 zenon_H117 zenon_H115 zenon_H116 zenon_H146 zenon_H149 zenon_H14a zenon_H228 zenon_H220 zenon_H21f zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_Hfc zenon_H177 zenon_H167 zenon_H48 zenon_Hde zenon_H162 zenon_H166. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H17c). zenon_intro zenon_H1a. zenon_intro zenon_H17d. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H14f. zenon_intro zenon_H17e. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_H150. zenon_intro zenon_H151. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H12e | zenon_intro zenon_H161 ]. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H13 | zenon_intro zenon_Ha1 ]. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H11 | zenon_intro zenon_H41 ]. % 1.22/1.40 apply (zenon_L12_); trivial. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H1a. zenon_intro zenon_H44. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H1d. zenon_intro zenon_H45. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H1e. zenon_intro zenon_H1f. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H12c | zenon_intro zenon_H148 ]. % 1.22/1.40 apply (zenon_L81_); trivial. % 1.22/1.40 apply (zenon_L790_); trivial. % 1.22/1.40 apply (zenon_L511_); trivial. % 1.22/1.40 apply (zenon_L89_); trivial. % 1.22/1.40 apply (zenon_L791_); trivial. % 1.22/1.40 (* end of lemma zenon_L792_ *) % 1.22/1.40 assert (zenon_L793_ : ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp10)) -> ((hskp25)\/((hskp17)\/(hskp21))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c1_1 (a8)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> (~(hskp1)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> (~(hskp7)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp27)\/(hskp7))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp27)\/(hskp26))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> (c0_1 (a15)) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (c0_1 (a8)) -> (~(c2_1 (a8))) -> (~(hskp15)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (~(hskp17)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a11))/\((c1_1 (a11))/\(c3_1 (a11)))))) -> (~(hskp0)) -> ((hskp24)\/((hskp23)\/(hskp0))) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53))))))) -> False). % 1.22/1.40 do 0 intro. intros zenon_H17a zenon_H17b zenon_H43 zenon_H2d zenon_H130 zenon_H93 zenon_H91 zenon_H14a zenon_H220 zenon_H177 zenon_H167 zenon_Hde zenon_H162 zenon_H166 zenon_H48 zenon_H1c1 zenon_H1 zenon_H299 zenon_H1f2 zenon_Hfc zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_H117 zenon_H115 zenon_H116 zenon_H228 zenon_H21f zenon_H146 zenon_H149 zenon_H9 zenon_H12a zenon_H97 zenon_H15 zenon_H17 zenon_Hd zenon_H1a9 zenon_H9d. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H128 | zenon_intro zenon_H17c ]. % 1.22/1.40 apply (zenon_L786_); trivial. % 1.22/1.40 apply (zenon_L792_); trivial. % 1.22/1.40 (* end of lemma zenon_L793_ *) % 1.22/1.40 assert (zenon_L794_ : ((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> (~(hskp4)) -> (~(hskp10)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> (~(c2_1 (a8))) -> (c1_1 (a8)) -> (c0_1 (a8)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp11)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp0)) -> ((hskp24)\/((hskp23)\/(hskp0))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (c0_1 (a15)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53))))))) -> False). % 1.22/1.40 do 0 intro. intros zenon_H9e zenon_H17b zenon_H95 zenon_H48 zenon_H42 zenon_Hd zenon_H2d zenon_H43 zenon_Hfc zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_H21f zenon_H220 zenon_H228 zenon_H14a zenon_H91 zenon_H93 zenon_H15 zenon_H17 zenon_H115 zenon_H116 zenon_H117 zenon_H1a9 zenon_H9d. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.22/1.40 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H13 | zenon_intro zenon_Ha1 ]. % 1.22/1.40 apply (zenon_L775_); trivial. % 1.22/1.40 apply (zenon_L511_); trivial. % 1.22/1.40 apply (zenon_L724_); trivial. % 1.22/1.40 (* end of lemma zenon_L794_ *) % 1.22/1.40 assert (zenon_L795_ : ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c0_1 (a25)) -> (~(c3_1 (a25))) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> (forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37)))))) -> (ndr1_0) -> (c0_1 (a9)) -> (c2_1 (a9)) -> False). % 1.22/1.40 do 0 intro. intros zenon_Hfc zenon_H18f zenon_H18e zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_H8e zenon_H1a zenon_H13b zenon_H13d. % 1.22/1.40 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfd ]. % 1.22/1.40 apply (zenon_L113_); trivial. % 1.22/1.40 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hf3 | zenon_intro zenon_Hcd ]. % 1.22/1.40 apply (zenon_L687_); trivial. % 1.22/1.40 apply (zenon_L605_); trivial. % 1.22/1.40 (* end of lemma zenon_L795_ *) % 1.22/1.40 assert (zenon_L796_ : ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (c3_1 (a3)) -> (c2_1 (a3)) -> (c1_1 (a3)) -> (forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c0_1 (a8)) -> (c1_1 (a8)) -> (~(c2_1 (a8))) -> (~(hskp19)) -> (c2_1 (a9)) -> (c0_1 (a9)) -> (ndr1_0) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> (~(c3_1 (a25))) -> (c0_1 (a25)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(hskp11)) -> False). % 1.22/1.40 do 0 intro. intros zenon_H93 zenon_H1f zenon_H1e zenon_H1d zenon_Hd6 zenon_H14a zenon_H228 zenon_H220 zenon_H21f zenon_H144 zenon_H13d zenon_H13b zenon_H1a zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_H18e zenon_H18f zenon_Hfc zenon_H91. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H49 | zenon_intro zenon_H94 ]. % 1.22/1.40 apply (zenon_L787_); trivial. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H8e | zenon_intro zenon_H92 ]. % 1.22/1.40 apply (zenon_L795_); trivial. % 1.22/1.40 exact (zenon_H91 zenon_H92). % 1.22/1.40 (* end of lemma zenon_L796_ *) % 1.22/1.40 assert (zenon_L797_ : ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(hskp19)) -> (forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36)))))) -> (c2_1 (a3)) -> (c3_1 (a3)) -> (c1_1 (a3)) -> (~(c2_1 (a8))) -> (c1_1 (a8)) -> (c0_1 (a8)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> (c3_1 (a11)) -> (c0_1 (a11)) -> (ndr1_0) -> (~(hskp17)) -> (~(hskp18)) -> False). % 1.22/1.40 do 0 intro. intros zenon_Hfc zenon_H144 zenon_H49 zenon_H1e zenon_H1f zenon_H1d zenon_H21f zenon_H220 zenon_H228 zenon_H14a zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_H12a zenon_H70 zenon_H9b zenon_H1a zenon_H9 zenon_H128. % 1.22/1.40 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfd ]. % 1.22/1.40 apply (zenon_L235_); trivial. % 1.22/1.40 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hf3 | zenon_intro zenon_Hcd ]. % 1.22/1.40 apply (zenon_L687_); trivial. % 1.22/1.40 apply (zenon_L353_); trivial. % 1.22/1.40 (* end of lemma zenon_L797_ *) % 1.22/1.40 assert (zenon_L798_ : ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c0_1 (a25)) -> (~(c3_1 (a25))) -> (forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37)))))) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> (c3_1 (a11)) -> (c0_1 (a11)) -> (ndr1_0) -> (~(hskp17)) -> (~(hskp18)) -> False). % 1.22/1.40 do 0 intro. intros zenon_Hfc zenon_H18f zenon_H18e zenon_H8e zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_H12a zenon_H70 zenon_H9b zenon_H1a zenon_H9 zenon_H128. % 1.22/1.40 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfd ]. % 1.22/1.40 apply (zenon_L113_); trivial. % 1.22/1.40 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hf3 | zenon_intro zenon_Hcd ]. % 1.22/1.40 apply (zenon_L687_); trivial. % 1.22/1.40 apply (zenon_L353_); trivial. % 1.22/1.40 (* end of lemma zenon_L798_ *) % 1.22/1.40 assert (zenon_L799_ : ((ndr1_0)/\((c0_1 (a11))/\((c1_1 (a11))/\(c3_1 (a11))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c0_1 (a8)) -> (c1_1 (a8)) -> (~(c2_1 (a8))) -> (c1_1 (a3)) -> (c3_1 (a3)) -> (c2_1 (a3)) -> (~(hskp19)) -> (~(hskp18)) -> (~(hskp17)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> (~(c3_1 (a25))) -> (c0_1 (a25)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(hskp11)) -> False). % 1.22/1.40 do 0 intro. intros zenon_H98 zenon_H93 zenon_H14a zenon_H228 zenon_H220 zenon_H21f zenon_H1d zenon_H1f zenon_H1e zenon_H144 zenon_H128 zenon_H9 zenon_H12a zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_H18e zenon_H18f zenon_Hfc zenon_H91. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H98). zenon_intro zenon_H1a. zenon_intro zenon_H99. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H99). zenon_intro zenon_H9b. zenon_intro zenon_H9a. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H9a). zenon_intro zenon_H6f. zenon_intro zenon_H70. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H49 | zenon_intro zenon_H94 ]. % 1.22/1.40 apply (zenon_L797_); trivial. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H8e | zenon_intro zenon_H92 ]. % 1.22/1.40 apply (zenon_L798_); trivial. % 1.22/1.40 exact (zenon_H91 zenon_H92). % 1.22/1.40 (* end of lemma zenon_L799_ *) % 1.22/1.40 assert (zenon_L800_ : ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(hskp19)) -> (forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36)))))) -> (c2_1 (a3)) -> (c3_1 (a3)) -> (c1_1 (a3)) -> (~(c2_1 (a8))) -> (c1_1 (a8)) -> (c0_1 (a8)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> (ndr1_0) -> (c0_1 (a10)) -> (c2_1 (a10)) -> (c3_1 (a10)) -> False). % 1.22/1.40 do 0 intro. intros zenon_Hfc zenon_H144 zenon_H49 zenon_H1e zenon_H1f zenon_H1d zenon_H21f zenon_H220 zenon_H228 zenon_H14a zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_H1a zenon_H1b5 zenon_H1b6 zenon_H1b7. % 1.22/1.40 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfd ]. % 1.22/1.40 apply (zenon_L235_); trivial. % 1.22/1.40 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hf3 | zenon_intro zenon_Hcd ]. % 1.22/1.40 apply (zenon_L687_); trivial. % 1.22/1.40 apply (zenon_L133_); trivial. % 1.22/1.40 (* end of lemma zenon_L800_ *) % 1.22/1.40 assert (zenon_L801_ : ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c0_1 (a25)) -> (~(c3_1 (a25))) -> (forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37)))))) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> (ndr1_0) -> (c0_1 (a10)) -> (c2_1 (a10)) -> (c3_1 (a10)) -> False). % 1.22/1.40 do 0 intro. intros zenon_Hfc zenon_H18f zenon_H18e zenon_H8e zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_H1a zenon_H1b5 zenon_H1b6 zenon_H1b7. % 1.22/1.40 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfd ]. % 1.22/1.40 apply (zenon_L113_); trivial. % 1.22/1.40 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hf3 | zenon_intro zenon_Hcd ]. % 1.22/1.40 apply (zenon_L687_); trivial. % 1.22/1.40 apply (zenon_L133_); trivial. % 1.22/1.40 (* end of lemma zenon_L801_ *) % 1.22/1.40 assert (zenon_L802_ : ((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c0_1 (a8)) -> (c1_1 (a8)) -> (~(c2_1 (a8))) -> (c1_1 (a3)) -> (c3_1 (a3)) -> (c2_1 (a3)) -> (~(hskp19)) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> (~(c3_1 (a25))) -> (c0_1 (a25)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(hskp11)) -> False). % 1.22/1.40 do 0 intro. intros zenon_H1be zenon_H93 zenon_H14a zenon_H228 zenon_H220 zenon_H21f zenon_H1d zenon_H1f zenon_H1e zenon_H144 zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_H18e zenon_H18f zenon_Hfc zenon_H91. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H1a. zenon_intro zenon_H1bf. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H1bf). zenon_intro zenon_H1b5. zenon_intro zenon_H1c0. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H1c0). zenon_intro zenon_H1b6. zenon_intro zenon_H1b7. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H49 | zenon_intro zenon_H94 ]. % 1.22/1.40 apply (zenon_L800_); trivial. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H8e | zenon_intro zenon_H92 ]. % 1.22/1.40 apply (zenon_L801_); trivial. % 1.22/1.40 exact (zenon_H91 zenon_H92). % 1.22/1.40 (* end of lemma zenon_L802_ *) % 1.22/1.40 assert (zenon_L803_ : ((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp27)\/(hskp26))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> (~(c2_1 (a8))) -> (c1_1 (a8)) -> (c0_1 (a8)) -> (c2_1 (a3)) -> (c3_1 (a3)) -> (c1_1 (a3)) -> (~(hskp19)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c0_1 (a25)) -> (~(c3_1 (a25))) -> (~(hskp11)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp17)) -> (~(hskp18)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a11))/\((c1_1 (a11))/\(c3_1 (a11)))))) -> False). % 1.22/1.40 do 0 intro. intros zenon_H148 zenon_H1c1 zenon_H1f2 zenon_Hfc zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_H21f zenon_H220 zenon_H228 zenon_H1e zenon_H1f zenon_H1d zenon_H144 zenon_H14a zenon_H18f zenon_H18e zenon_H91 zenon_H93 zenon_H9 zenon_H128 zenon_H12a zenon_H97. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H1a. zenon_intro zenon_H14b. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H13b. zenon_intro zenon_H14c. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H14c). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1be ]. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H98 ]. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H1f3 ]. % 1.22/1.40 apply (zenon_L796_); trivial. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H5a | zenon_intro zenon_H1b4 ]. % 1.22/1.40 exact (zenon_H59 zenon_H5a). % 1.22/1.40 exact (zenon_H1b3 zenon_H1b4). % 1.22/1.40 apply (zenon_L799_); trivial. % 1.22/1.40 apply (zenon_L802_); trivial. % 1.22/1.40 (* end of lemma zenon_L803_ *) % 1.22/1.40 assert (zenon_L804_ : ((~(hskp23))\/((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> (~(hskp4)) -> (c0_1 (a15)) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> ((hskp24)\/((hskp23)\/(hskp0))) -> (~(hskp0)) -> ((hskp25)\/((hskp17)\/(hskp21))) -> (~(hskp21)) -> (~(hskp17)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a11))/\((c1_1 (a11))/\(c3_1 (a11)))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> (~(hskp18)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp11)) -> (~(c3_1 (a25))) -> (c0_1 (a25)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp19)) -> (c0_1 (a8)) -> (c1_1 (a8)) -> (~(c2_1 (a8))) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp27)\/(hskp26))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> False). % 1.22/1.40 do 0 intro. intros zenon_H9d zenon_H1a9 zenon_Hd zenon_H117 zenon_H116 zenon_H115 zenon_H17 zenon_H15 zenon_H130 zenon_H12e zenon_H9 zenon_H97 zenon_H12a zenon_H128 zenon_H93 zenon_H91 zenon_H18e zenon_H18f zenon_H14a zenon_H144 zenon_H228 zenon_H220 zenon_H21f zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_Hfc zenon_H1f2 zenon_H1c1 zenon_H167 zenon_H48. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H13 | zenon_intro zenon_Ha1 ]. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H11 | zenon_intro zenon_H41 ]. % 1.22/1.40 apply (zenon_L12_); trivial. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H1a. zenon_intro zenon_H44. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H1d. zenon_intro zenon_H45. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H1e. zenon_intro zenon_H1f. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H12c | zenon_intro zenon_H148 ]. % 1.22/1.40 apply (zenon_L81_); trivial. % 1.22/1.40 apply (zenon_L803_); trivial. % 1.22/1.40 apply (zenon_L511_); trivial. % 1.22/1.40 (* end of lemma zenon_L804_ *) % 1.22/1.40 assert (zenon_L805_ : ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c0_1 (a8)) -> (c1_1 (a8)) -> (~(c2_1 (a8))) -> (~(hskp19)) -> (c2_1 (a3)) -> (c3_1 (a3)) -> (c1_1 (a3)) -> (forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32)))))) -> (ndr1_0) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> (~(c3_1 (a25))) -> (c0_1 (a25)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(hskp11)) -> False). % 1.22/1.40 do 0 intro. intros zenon_H93 zenon_H14a zenon_H228 zenon_H220 zenon_H21f zenon_H144 zenon_H1e zenon_H1f zenon_H1d zenon_H1b zenon_H1a zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_H18e zenon_H18f zenon_Hfc zenon_H91. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H49 | zenon_intro zenon_H94 ]. % 1.22/1.40 apply (zenon_L767_); trivial. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H8e | zenon_intro zenon_H92 ]. % 1.22/1.40 apply (zenon_L743_); trivial. % 1.22/1.40 exact (zenon_H91 zenon_H92). % 1.22/1.40 (* end of lemma zenon_L805_ *) % 1.22/1.40 assert (zenon_L806_ : ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> (c2_1 (a9)) -> (c0_1 (a9)) -> (ndr1_0) -> (forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37)))))) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> (~(c2_1 (a8))) -> (c0_1 (a8)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(hskp17)) -> (~(hskp18)) -> False). % 1.22/1.40 do 0 intro. intros zenon_H12a zenon_H13d zenon_H13b zenon_H1a zenon_H8e zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_H21f zenon_H228 zenon_Hfc zenon_H9 zenon_H128. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_H11e | zenon_intro zenon_H12b ]. % 1.22/1.40 apply (zenon_L788_); trivial. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_Ha | zenon_intro zenon_H129 ]. % 1.22/1.40 exact (zenon_H9 zenon_Ha). % 1.22/1.40 exact (zenon_H128 zenon_H129). % 1.22/1.40 (* end of lemma zenon_L806_ *) % 1.22/1.40 assert (zenon_L807_ : ((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (c3_1 (a33)) -> (c2_1 (a33)) -> (~(c0_1 (a33))) -> (~(hskp18)) -> (~(hskp17)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c0_1 (a8)) -> (~(c2_1 (a8))) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> (~(hskp11)) -> False). % 1.22/1.40 do 0 intro. intros zenon_H148 zenon_H93 zenon_H171 zenon_H16a zenon_H168 zenon_H128 zenon_H9 zenon_Hfc zenon_H228 zenon_H21f zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_H12a zenon_H91. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H1a. zenon_intro zenon_H14b. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H13b. zenon_intro zenon_H14c. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H14c). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H49 | zenon_intro zenon_H94 ]. % 1.22/1.40 apply (zenon_L105_); trivial. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H8e | zenon_intro zenon_H92 ]. % 1.22/1.40 apply (zenon_L806_); trivial. % 1.22/1.40 exact (zenon_H91 zenon_H92). % 1.22/1.40 (* end of lemma zenon_L807_ *) % 1.22/1.40 assert (zenon_L808_ : ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> (c0_1 (a8)) -> (~(c2_1 (a8))) -> (~(hskp18)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> (c3_1 (a33)) -> (c2_1 (a33)) -> (~(c0_1 (a33))) -> (~(hskp17)) -> (~(hskp21)) -> ((hskp25)\/((hskp17)\/(hskp21))) -> False). % 1.22/1.40 do 0 intro. intros zenon_H167 zenon_H93 zenon_H91 zenon_Hfc zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_H228 zenon_H21f zenon_H128 zenon_H12a zenon_H171 zenon_H16a zenon_H168 zenon_H9 zenon_H12e zenon_H130. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H12c | zenon_intro zenon_H148 ]. % 1.22/1.40 apply (zenon_L81_); trivial. % 1.22/1.40 apply (zenon_L807_); trivial. % 1.22/1.40 (* end of lemma zenon_L808_ *) % 1.22/1.40 assert (zenon_L809_ : ((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> (~(hskp10)) -> (~(c0_1 (a33))) -> (c3_1 (a33)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (c0_1 (a15)) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> (~(hskp4)) -> False). % 1.22/1.40 do 0 intro. intros zenon_H161 zenon_H1a9 zenon_H2d zenon_H168 zenon_H171 zenon_H43 zenon_H117 zenon_H116 zenon_H115 zenon_Hd. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H161). zenon_intro zenon_H1a. zenon_intro zenon_H163. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H159. zenon_intro zenon_H164. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H15a. zenon_intro zenon_H158. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H1aa ]. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H43); [ zenon_intro zenon_H1b | zenon_intro zenon_H47 ]. % 1.22/1.40 apply (zenon_L564_); trivial. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H47); [ zenon_intro zenon_H31 | zenon_intro zenon_H2e ]. % 1.22/1.40 apply (zenon_L88_); trivial. % 1.22/1.40 exact (zenon_H2d zenon_H2e). % 1.22/1.40 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_Hf2 | zenon_intro zenon_He ]. % 1.22/1.40 apply (zenon_L73_); trivial. % 1.22/1.40 exact (zenon_Hd zenon_He). % 1.22/1.40 (* end of lemma zenon_L809_ *) % 1.22/1.40 assert (zenon_L810_ : ((~(hskp23))\/((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> (~(hskp4)) -> (c0_1 (a15)) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> ((hskp24)\/((hskp23)\/(hskp0))) -> (~(hskp0)) -> ((hskp25)\/((hskp17)\/(hskp21))) -> (~(hskp21)) -> (~(hskp17)) -> (~(c0_1 (a32))) -> (~(c1_1 (a32))) -> (~(c3_1 (a32))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp11)) -> (~(c3_1 (a25))) -> (c0_1 (a25)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp19)) -> (c0_1 (a8)) -> (c1_1 (a8)) -> (~(c2_1 (a8))) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> False). % 1.22/1.40 do 0 intro. intros zenon_H9d zenon_H1a9 zenon_Hd zenon_H117 zenon_H116 zenon_H115 zenon_H17 zenon_H15 zenon_H130 zenon_H12e zenon_H9 zenon_H14f zenon_H150 zenon_H151 zenon_H93 zenon_H91 zenon_H18e zenon_H18f zenon_H14a zenon_H144 zenon_H228 zenon_H220 zenon_H21f zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_Hfc zenon_H177 zenon_H167 zenon_H48. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H13 | zenon_intro zenon_Ha1 ]. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H11 | zenon_intro zenon_H41 ]. % 1.22/1.40 apply (zenon_L12_); trivial. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H1a. zenon_intro zenon_H44. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H1d. zenon_intro zenon_H45. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H1e. zenon_intro zenon_H1f. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H12c | zenon_intro zenon_H148 ]. % 1.22/1.40 apply (zenon_L81_); trivial. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H1a. zenon_intro zenon_H14b. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H13b. zenon_intro zenon_H14c. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H14c). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 1.22/1.40 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hd6 ]. % 1.22/1.40 apply (zenon_L87_); trivial. % 1.22/1.40 apply (zenon_L796_); trivial. % 1.22/1.40 apply (zenon_L511_); trivial. % 1.22/1.40 (* end of lemma zenon_L810_ *) % 1.22/1.40 assert (zenon_L811_ : ((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> (~(hskp4)) -> (c0_1 (a15)) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> ((hskp24)\/((hskp23)\/(hskp0))) -> (~(hskp0)) -> ((hskp25)\/((hskp17)\/(hskp21))) -> (~(hskp17)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp11)) -> (~(c3_1 (a25))) -> (c0_1 (a25)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c0_1 (a8)) -> (c1_1 (a8)) -> (~(c2_1 (a8))) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> (~(hskp1)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> False). % 1.22/1.40 do 0 intro. intros zenon_H17c zenon_H17b zenon_H9d zenon_H1a9 zenon_Hd zenon_H117 zenon_H116 zenon_H115 zenon_H17 zenon_H15 zenon_H130 zenon_H9 zenon_H93 zenon_H91 zenon_H18e zenon_H18f zenon_H14a zenon_H228 zenon_H220 zenon_H21f zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_Hfc zenon_H177 zenon_H167 zenon_H48 zenon_Hde zenon_H162 zenon_H166. % 1.22/1.40 apply (zenon_and_s _ _ zenon_H17c). zenon_intro zenon_H1a. zenon_intro zenon_H17d. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H14f. zenon_intro zenon_H17e. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_H150. zenon_intro zenon_H151. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H12e | zenon_intro zenon_H161 ]. % 1.22/1.41 apply (zenon_L810_); trivial. % 1.22/1.41 apply (zenon_L89_); trivial. % 1.22/1.41 apply (zenon_L93_); trivial. % 1.22/1.41 (* end of lemma zenon_L811_ *) % 1.22/1.41 assert (zenon_L812_ : ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(c1_1 (a31))) -> (forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c0_1 (a8)) -> (c1_1 (a8)) -> (~(c2_1 (a8))) -> (c1_1 (a3)) -> (c3_1 (a3)) -> (c2_1 (a3)) -> (~(hskp19)) -> (c2_1 (a31)) -> (c0_1 (a31)) -> (ndr1_0) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> (~(c3_1 (a25))) -> (c0_1 (a25)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(hskp11)) -> False). % 1.22/1.41 do 0 intro. intros zenon_H93 zenon_H32 zenon_H3b zenon_H14a zenon_H228 zenon_H220 zenon_H21f zenon_H1d zenon_H1f zenon_H1e zenon_H144 zenon_H33 zenon_H3c zenon_H1a zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_H18e zenon_H18f zenon_Hfc zenon_H91. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H49 | zenon_intro zenon_H94 ]. % 1.22/1.41 apply (zenon_L771_); trivial. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H8e | zenon_intro zenon_H92 ]. % 1.22/1.41 apply (zenon_L726_); trivial. % 1.22/1.41 exact (zenon_H91 zenon_H92). % 1.22/1.41 (* end of lemma zenon_L812_ *) % 1.22/1.41 assert (zenon_L813_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> (~(hskp4)) -> (c2_1 (a31)) -> (c0_1 (a31)) -> (~(c1_1 (a31))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> (~(c2_1 (a8))) -> (c1_1 (a8)) -> (c0_1 (a8)) -> (~(hskp19)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c0_1 (a25)) -> (~(c3_1 (a25))) -> (~(hskp11)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp23)) -> (~(hskp0)) -> ((hskp24)\/((hskp23)\/(hskp0))) -> False). % 1.22/1.41 do 0 intro. intros zenon_H48 zenon_H42 zenon_Hd zenon_H33 zenon_H3c zenon_H32 zenon_Hfc zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_H21f zenon_H220 zenon_H228 zenon_H144 zenon_H14a zenon_H18f zenon_H18e zenon_H91 zenon_H93 zenon_H13 zenon_H15 zenon_H17. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H11 | zenon_intro zenon_H41 ]. % 1.22/1.41 apply (zenon_L12_); trivial. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H1a. zenon_intro zenon_H44. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H1d. zenon_intro zenon_H45. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H1e. zenon_intro zenon_H1f. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H1b | zenon_intro zenon_H46 ]. % 1.22/1.41 apply (zenon_L805_); trivial. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_He ]. % 1.22/1.41 apply (zenon_L812_); trivial. % 1.22/1.41 exact (zenon_Hd zenon_He). % 1.22/1.41 (* end of lemma zenon_L813_ *) % 1.22/1.41 assert (zenon_L814_ : ((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (c2_1 (a31)) -> (c0_1 (a31)) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> (~(c3_1 (a25))) -> (c0_1 (a25)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(hskp11)) -> False). % 1.22/1.41 do 0 intro. intros zenon_H176 zenon_H93 zenon_H33 zenon_H3c zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_H18e zenon_H18f zenon_Hfc zenon_H91. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1a. zenon_intro zenon_H178. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H16a. zenon_intro zenon_H179. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H171. zenon_intro zenon_H168. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H49 | zenon_intro zenon_H94 ]. % 1.22/1.41 apply (zenon_L105_); trivial. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H8e | zenon_intro zenon_H92 ]. % 1.22/1.41 apply (zenon_L726_); trivial. % 1.22/1.41 exact (zenon_H91 zenon_H92). % 1.22/1.41 (* end of lemma zenon_L814_ *) % 1.22/1.41 assert (zenon_L815_ : ((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> (~(c2_1 (a8))) -> (c1_1 (a8)) -> (c0_1 (a8)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c0_1 (a25)) -> (~(c3_1 (a25))) -> (~(hskp11)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp0)) -> ((hskp24)\/((hskp23)\/(hskp0))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (c0_1 (a15)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53))))))) -> False). % 1.22/1.41 do 0 intro. intros zenon_H9e zenon_H17b zenon_H48 zenon_H42 zenon_Hd zenon_Hfc zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_H21f zenon_H220 zenon_H228 zenon_H14a zenon_H18f zenon_H18e zenon_H91 zenon_H93 zenon_H15 zenon_H17 zenon_H115 zenon_H116 zenon_H117 zenon_H1a9 zenon_H9d. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.22/1.41 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H13 | zenon_intro zenon_Ha1 ]. % 1.22/1.41 apply (zenon_L813_); trivial. % 1.22/1.41 apply (zenon_L511_); trivial. % 1.22/1.41 apply (zenon_L814_); trivial. % 1.22/1.41 (* end of lemma zenon_L815_ *) % 1.22/1.41 assert (zenon_L816_ : ((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(~(c3_1 (a25)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> (~(hskp4)) -> (c0_1 (a15)) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> ((hskp24)\/((hskp23)\/(hskp0))) -> (~(hskp0)) -> ((hskp25)\/((hskp17)\/(hskp21))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a11))/\((c1_1 (a11))/\(c3_1 (a11)))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c0_1 (a8)) -> (c1_1 (a8)) -> (~(c2_1 (a8))) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp27)\/(hskp26))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp10)) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> (~(hskp1)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> False). % 1.22/1.41 do 0 intro. intros zenon_H19f zenon_H9c zenon_H42 zenon_H17b zenon_H9d zenon_H1a9 zenon_Hd zenon_H117 zenon_H116 zenon_H115 zenon_H17 zenon_H15 zenon_H130 zenon_H97 zenon_H12a zenon_H93 zenon_H91 zenon_H14a zenon_H228 zenon_H220 zenon_H21f zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_Hfc zenon_H1f2 zenon_H1c1 zenon_H167 zenon_H48 zenon_H43 zenon_H2d zenon_H166 zenon_H162 zenon_Hde zenon_H177 zenon_H17a. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H1a. zenon_intro zenon_H1a0. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H18f. zenon_intro zenon_H1a1. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H19a. zenon_intro zenon_H18e. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H128 | zenon_intro zenon_H17c ]. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H12e | zenon_intro zenon_H161 ]. % 1.22/1.41 apply (zenon_L804_); trivial. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H161). zenon_intro zenon_H1a. zenon_intro zenon_H163. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H159. zenon_intro zenon_H164. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H15a. zenon_intro zenon_H158. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H13 | zenon_intro zenon_Ha1 ]. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H11 | zenon_intro zenon_H41 ]. % 1.22/1.41 apply (zenon_L12_); trivial. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H1a. zenon_intro zenon_H44. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H1d. zenon_intro zenon_H45. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H1e. zenon_intro zenon_H1f. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H43); [ zenon_intro zenon_H1b | zenon_intro zenon_H47 ]. % 1.22/1.41 apply (zenon_L805_); trivial. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H47); [ zenon_intro zenon_H31 | zenon_intro zenon_H2e ]. % 1.22/1.41 apply (zenon_L88_); trivial. % 1.22/1.41 exact (zenon_H2d zenon_H2e). % 1.22/1.41 apply (zenon_L511_); trivial. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1a. zenon_intro zenon_H178. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H16a. zenon_intro zenon_H179. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H171. zenon_intro zenon_H168. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H12e | zenon_intro zenon_H161 ]. % 1.22/1.41 apply (zenon_L808_); trivial. % 1.22/1.41 apply (zenon_L809_); trivial. % 1.22/1.41 apply (zenon_L811_); trivial. % 1.22/1.41 apply (zenon_L815_); trivial. % 1.22/1.41 (* end of lemma zenon_L816_ *) % 1.22/1.41 assert (zenon_L817_ : ((~(hskp11))\/((ndr1_0)/\((c2_1 (a19))/\((~(c1_1 (a19)))/\(~(c3_1 (a19))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(hskp7)) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> (~(hskp4)) -> ((hskp24)\/((hskp23)\/(hskp0))) -> (~(hskp0)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a11))/\((c1_1 (a11))/\(c3_1 (a11)))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (~(c2_1 (a8))) -> (c0_1 (a8)) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> (c0_1 (a15)) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp27)\/(hskp26))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp27)\/(hskp7))) -> (~(hskp7)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> (~(hskp1)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> (c1_1 (a8)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> ((hskp25)\/((hskp17)\/(hskp21))) -> (~(hskp10)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(~(c3_1 (a25))))))) -> False). % 1.22/1.41 do 0 intro. intros zenon_H213 zenon_Hb7 zenon_H9c zenon_H95 zenon_H42 zenon_H9d zenon_H1a9 zenon_Hd zenon_H17 zenon_H15 zenon_H97 zenon_H12a zenon_H149 zenon_H21f zenon_H228 zenon_H116 zenon_H115 zenon_H117 zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_Hfc zenon_H1f2 zenon_H299 zenon_H1 zenon_H1c1 zenon_H48 zenon_H166 zenon_H162 zenon_Hde zenon_H167 zenon_H177 zenon_H220 zenon_H14a zenon_H93 zenon_H130 zenon_H2d zenon_H43 zenon_H17b zenon_H17a zenon_H1a2. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H91 | zenon_intro zenon_He5 ]. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H146 | zenon_intro zenon_H19f ]. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.22/1.41 apply (zenon_L793_); trivial. % 1.22/1.41 apply (zenon_L794_); trivial. % 1.22/1.41 apply (zenon_L816_); trivial. % 1.22/1.41 apply (zenon_L62_); trivial. % 1.22/1.41 (* end of lemma zenon_L817_ *) % 1.22/1.41 assert (zenon_L818_ : ((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(hskp24)) -> (~(hskp9)) -> (~(c2_1 (a8))) -> (c1_1 (a8)) -> (c0_1 (a8)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((hskp9)\/(hskp24))) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> False). % 1.22/1.41 do 0 intro. intros zenon_H1be zenon_Hfc zenon_H11 zenon_H3 zenon_H21f zenon_H220 zenon_H228 zenon_H7b zenon_H2c2 zenon_H2ba zenon_H2b9. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H1a. zenon_intro zenon_H1bf. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H1bf). zenon_intro zenon_H1b5. zenon_intro zenon_H1c0. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H1c0). zenon_intro zenon_H1b6. zenon_intro zenon_H1b7. % 1.22/1.41 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfd ]. % 1.22/1.41 apply (zenon_L765_); trivial. % 1.22/1.41 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hf3 | zenon_intro zenon_Hcd ]. % 1.22/1.41 apply (zenon_L687_); trivial. % 1.22/1.41 apply (zenon_L133_); trivial. % 1.22/1.41 (* end of lemma zenon_L818_ *) % 1.22/1.41 assert (zenon_L819_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> (~(c2_1 (a8))) -> (c1_1 (a8)) -> (c0_1 (a8)) -> (~(hskp9)) -> (~(hskp24)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((hskp9)\/(hskp24))) -> (ndr1_0) -> (~(c3_1 (a18))) -> (c0_1 (a18)) -> (c2_1 (a18)) -> (~(hskp20)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> False). % 1.22/1.41 do 0 intro. intros zenon_H1c1 zenon_Hfc zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_H21f zenon_H220 zenon_H228 zenon_H3 zenon_H11 zenon_H7b zenon_H1a zenon_Hc1 zenon_He0 zenon_Hc2 zenon_H1c4 zenon_H1c6. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1be ]. % 1.22/1.41 apply (zenon_L197_); trivial. % 1.22/1.41 apply (zenon_L818_); trivial. % 1.22/1.41 (* end of lemma zenon_L819_ *) % 1.22/1.41 assert (zenon_L820_ : ((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c0_1 (a8)) -> (c1_1 (a8)) -> (~(c2_1 (a8))) -> (c1_1 (a3)) -> (c3_1 (a3)) -> (c2_1 (a3)) -> (~(hskp19)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c2_1 (a18)) -> (c0_1 (a18)) -> (~(c3_1 (a18))) -> (~(hskp11)) -> False). % 1.22/1.41 do 0 intro. intros zenon_H1be zenon_H93 zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_H14a zenon_H228 zenon_H220 zenon_H21f zenon_H1d zenon_H1f zenon_H1e zenon_H144 zenon_Hfc zenon_Hc2 zenon_He0 zenon_Hc1 zenon_H91. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H1a. zenon_intro zenon_H1bf. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H1bf). zenon_intro zenon_H1b5. zenon_intro zenon_H1c0. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H1c0). zenon_intro zenon_H1b6. zenon_intro zenon_H1b7. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H49 | zenon_intro zenon_H94 ]. % 1.22/1.41 apply (zenon_L800_); trivial. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H8e | zenon_intro zenon_H92 ]. % 1.22/1.41 apply (zenon_L59_); trivial. % 1.22/1.41 exact (zenon_H91 zenon_H92). % 1.22/1.41 (* end of lemma zenon_L820_ *) % 1.22/1.41 assert (zenon_L821_ : ((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp19)) -> (c0_1 (a8)) -> (c1_1 (a8)) -> (~(c2_1 (a8))) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(c3_1 (a18))) -> (c0_1 (a18)) -> (c2_1 (a18)) -> (~(hskp20)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> False). % 1.22/1.41 do 0 intro. intros zenon_H41 zenon_H1c1 zenon_H93 zenon_H91 zenon_H14a zenon_H144 zenon_H228 zenon_H220 zenon_H21f zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_Hfc zenon_Hc1 zenon_He0 zenon_Hc2 zenon_H1c4 zenon_H1c6. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H1a. zenon_intro zenon_H44. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H1d. zenon_intro zenon_H45. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H1e. zenon_intro zenon_H1f. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1be ]. % 1.22/1.41 apply (zenon_L197_); trivial. % 1.22/1.41 apply (zenon_L820_); trivial. % 1.22/1.41 (* end of lemma zenon_L821_ *) % 1.22/1.41 assert (zenon_L822_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp19)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> (~(hskp20)) -> (c2_1 (a18)) -> (c0_1 (a18)) -> (~(c3_1 (a18))) -> (ndr1_0) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((hskp9)\/(hskp24))) -> (~(hskp9)) -> (c0_1 (a8)) -> (c1_1 (a8)) -> (~(c2_1 (a8))) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> False). % 1.22/1.41 do 0 intro. intros zenon_H48 zenon_H93 zenon_H91 zenon_H14a zenon_H144 zenon_H1c6 zenon_H1c4 zenon_Hc2 zenon_He0 zenon_Hc1 zenon_H1a zenon_H7b zenon_H3 zenon_H228 zenon_H220 zenon_H21f zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_Hfc zenon_H1c1. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H11 | zenon_intro zenon_H41 ]. % 1.22/1.41 apply (zenon_L819_); trivial. % 1.22/1.41 apply (zenon_L821_); trivial. % 1.22/1.41 (* end of lemma zenon_L822_ *) % 1.22/1.41 assert (zenon_L823_ : ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (c3_1 (a3)) -> (c2_1 (a3)) -> (c1_1 (a3)) -> (forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1)))))) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c0_1 (a8)) -> (c1_1 (a8)) -> (~(c2_1 (a8))) -> (~(hskp19)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c2_1 (a18)) -> (c0_1 (a18)) -> (~(c3_1 (a18))) -> (ndr1_0) -> (~(hskp11)) -> False). % 1.22/1.41 do 0 intro. intros zenon_H93 zenon_H1f zenon_H1e zenon_H1d zenon_Hd6 zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_H14a zenon_H228 zenon_H220 zenon_H21f zenon_H144 zenon_Hfc zenon_Hc2 zenon_He0 zenon_Hc1 zenon_H1a zenon_H91. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H49 | zenon_intro zenon_H94 ]. % 1.22/1.41 apply (zenon_L787_); trivial. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H8e | zenon_intro zenon_H92 ]. % 1.22/1.41 apply (zenon_L59_); trivial. % 1.22/1.41 exact (zenon_H91 zenon_H92). % 1.22/1.41 (* end of lemma zenon_L823_ *) % 1.22/1.41 assert (zenon_L824_ : ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp27)\/(hskp26))) -> (~(hskp11)) -> (ndr1_0) -> (~(c3_1 (a18))) -> (c0_1 (a18)) -> (c2_1 (a18)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(hskp19)) -> (~(c2_1 (a8))) -> (c1_1 (a8)) -> (c0_1 (a8)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> (c1_1 (a3)) -> (c2_1 (a3)) -> (c3_1 (a3)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp27)) -> (~(hskp26)) -> False). % 1.22/1.41 do 0 intro. intros zenon_H1f2 zenon_H91 zenon_H1a zenon_Hc1 zenon_He0 zenon_Hc2 zenon_Hfc zenon_H144 zenon_H21f zenon_H220 zenon_H228 zenon_H14a zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_H1d zenon_H1e zenon_H1f zenon_H93 zenon_H59 zenon_H1b3. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H1f3 ]. % 1.22/1.41 apply (zenon_L823_); trivial. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H5a | zenon_intro zenon_H1b4 ]. % 1.22/1.41 exact (zenon_H59 zenon_H5a). % 1.22/1.41 exact (zenon_H1b3 zenon_H1b4). % 1.22/1.41 (* end of lemma zenon_L824_ *) % 1.22/1.41 assert (zenon_L825_ : ((ndr1_0)/\((c0_1 (a11))/\((c1_1 (a11))/\(c3_1 (a11))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c1_1 (a8)) -> (c1_1 (a3)) -> (c3_1 (a3)) -> (c2_1 (a3)) -> (~(hskp19)) -> (~(hskp18)) -> (~(hskp17)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c0_1 (a8)) -> (~(c2_1 (a8))) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> (c0_1 (a9)) -> (c2_1 (a9)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> (~(hskp11)) -> False). % 1.22/1.41 do 0 intro. intros zenon_H98 zenon_H93 zenon_H14a zenon_H220 zenon_H1d zenon_H1f zenon_H1e zenon_H144 zenon_H128 zenon_H9 zenon_Hfc zenon_H228 zenon_H21f zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_H13b zenon_H13d zenon_H12a zenon_H91. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H98). zenon_intro zenon_H1a. zenon_intro zenon_H99. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H99). zenon_intro zenon_H9b. zenon_intro zenon_H9a. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H9a). zenon_intro zenon_H6f. zenon_intro zenon_H70. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H49 | zenon_intro zenon_H94 ]. % 1.22/1.41 apply (zenon_L797_); trivial. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H8e | zenon_intro zenon_H92 ]. % 1.22/1.41 apply (zenon_L806_); trivial. % 1.22/1.41 exact (zenon_H91 zenon_H92). % 1.22/1.41 (* end of lemma zenon_L825_ *) % 1.22/1.41 assert (zenon_L826_ : ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(hskp24)) -> (~(hskp9)) -> (~(c2_1 (a8))) -> (c1_1 (a8)) -> (c0_1 (a8)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((hskp9)\/(hskp24))) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> (ndr1_0) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6)))))) -> (~(c1_1 (a42))) -> (c2_1 (a42)) -> (c3_1 (a42)) -> False). % 1.22/1.41 do 0 intro. intros zenon_Hfc zenon_H11 zenon_H3 zenon_H21f zenon_H220 zenon_H228 zenon_H7b zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_H1a zenon_H65 zenon_H158 zenon_H159 zenon_H15a. % 1.22/1.41 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfd ]. % 1.22/1.41 apply (zenon_L765_); trivial. % 1.22/1.41 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hf3 | zenon_intro zenon_Hcd ]. % 1.22/1.41 apply (zenon_L687_); trivial. % 1.22/1.41 apply (zenon_L389_); trivial. % 1.22/1.41 (* end of lemma zenon_L826_ *) % 1.22/1.41 assert (zenon_L827_ : ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((hskp9)\/(hskp24))) -> (c0_1 (a8)) -> (c1_1 (a8)) -> (~(c2_1 (a8))) -> (~(hskp9)) -> (~(hskp24)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c1_1 (a37)) -> (~(c3_1 (a37))) -> (~(c0_1 (a37))) -> (ndr1_0) -> (~(c1_1 (a42))) -> (c2_1 (a42)) -> (c3_1 (a42)) -> False). % 1.22/1.41 do 0 intro. intros zenon_H95 zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_H7b zenon_H228 zenon_H220 zenon_H21f zenon_H3 zenon_H11 zenon_Hfc zenon_H1d0 zenon_H1cf zenon_H1ce zenon_H1a zenon_H158 zenon_H159 zenon_H15a. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H65 | zenon_intro zenon_H96 ]. % 1.22/1.41 apply (zenon_L826_); trivial. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H7f | zenon_intro zenon_H31 ]. % 1.22/1.41 apply (zenon_L144_); trivial. % 1.22/1.41 apply (zenon_L88_); trivial. % 1.22/1.41 (* end of lemma zenon_L827_ *) % 1.22/1.41 assert (zenon_L828_ : ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (c3_1 (a42)) -> (c2_1 (a42)) -> (~(c1_1 (a42))) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6)))))) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c0_1 (a8)) -> (c1_1 (a8)) -> (~(c2_1 (a8))) -> (c1_1 (a3)) -> (c3_1 (a3)) -> (c2_1 (a3)) -> (~(hskp19)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c2_1 (a18)) -> (c0_1 (a18)) -> (~(c3_1 (a18))) -> (ndr1_0) -> (~(hskp11)) -> False). % 1.22/1.41 do 0 intro. intros zenon_H93 zenon_H15a zenon_H159 zenon_H158 zenon_H65 zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_H14a zenon_H228 zenon_H220 zenon_H21f zenon_H1d zenon_H1f zenon_H1e zenon_H144 zenon_Hfc zenon_Hc2 zenon_He0 zenon_Hc1 zenon_H1a zenon_H91. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H49 | zenon_intro zenon_H94 ]. % 1.22/1.41 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfd ]. % 1.22/1.41 apply (zenon_L235_); trivial. % 1.22/1.41 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hf3 | zenon_intro zenon_Hcd ]. % 1.22/1.41 apply (zenon_L687_); trivial. % 1.22/1.41 apply (zenon_L389_); trivial. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H8e | zenon_intro zenon_H92 ]. % 1.22/1.41 apply (zenon_L59_); trivial. % 1.22/1.41 exact (zenon_H91 zenon_H92). % 1.22/1.41 (* end of lemma zenon_L828_ *) % 1.22/1.41 assert (zenon_L829_ : ((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (~(hskp11)) -> (~(c3_1 (a18))) -> (c0_1 (a18)) -> (c2_1 (a18)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(hskp19)) -> (~(c2_1 (a8))) -> (c1_1 (a8)) -> (c0_1 (a8)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (c1_1 (a37)) -> (~(c3_1 (a37))) -> (~(c0_1 (a37))) -> (~(c1_1 (a42))) -> (c2_1 (a42)) -> (c3_1 (a42)) -> False). % 1.22/1.41 do 0 intro. intros zenon_H41 zenon_H95 zenon_H91 zenon_Hc1 zenon_He0 zenon_Hc2 zenon_Hfc zenon_H144 zenon_H21f zenon_H220 zenon_H228 zenon_H14a zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_H93 zenon_H1d0 zenon_H1cf zenon_H1ce zenon_H158 zenon_H159 zenon_H15a. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H1a. zenon_intro zenon_H44. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H1d. zenon_intro zenon_H45. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H1e. zenon_intro zenon_H1f. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H65 | zenon_intro zenon_H96 ]. % 1.22/1.41 apply (zenon_L828_); trivial. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H7f | zenon_intro zenon_H31 ]. % 1.22/1.41 apply (zenon_L144_); trivial. % 1.22/1.41 apply (zenon_L88_); trivial. % 1.22/1.41 (* end of lemma zenon_L829_ *) % 1.22/1.41 assert (zenon_L830_ : ((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> (~(hskp19)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(c3_1 (a18))) -> (c0_1 (a18)) -> (c2_1 (a18)) -> (~(hskp11)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> (~(c2_1 (a8))) -> (c1_1 (a8)) -> (c0_1 (a8)) -> (~(hskp9)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((hskp9)\/(hskp24))) -> (~(c0_1 (a37))) -> (~(c3_1 (a37))) -> (c1_1 (a37)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> False). % 1.22/1.41 do 0 intro. intros zenon_H161 zenon_H48 zenon_H144 zenon_H14a zenon_Hc1 zenon_He0 zenon_Hc2 zenon_H91 zenon_H93 zenon_Hfc zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_H21f zenon_H220 zenon_H228 zenon_H3 zenon_H7b zenon_H1ce zenon_H1cf zenon_H1d0 zenon_H95. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H161). zenon_intro zenon_H1a. zenon_intro zenon_H163. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H159. zenon_intro zenon_H164. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H15a. zenon_intro zenon_H158. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H11 | zenon_intro zenon_H41 ]. % 1.22/1.41 apply (zenon_L827_); trivial. % 1.22/1.41 apply (zenon_L829_); trivial. % 1.22/1.41 (* end of lemma zenon_L830_ *) % 1.22/1.41 assert (zenon_L831_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> (~(c2_1 (a8))) -> (c1_1 (a8)) -> (c0_1 (a8)) -> (~(hskp19)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(c3_1 (a18))) -> (c0_1 (a18)) -> (c2_1 (a18)) -> (~(hskp11)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(c3_1 (a32))) -> (~(c1_1 (a32))) -> (~(c0_1 (a32))) -> (~(hskp23)) -> (~(hskp0)) -> ((hskp24)\/((hskp23)\/(hskp0))) -> False). % 1.22/1.41 do 0 intro. intros zenon_H48 zenon_H177 zenon_Hfc zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_H21f zenon_H220 zenon_H228 zenon_H144 zenon_H14a zenon_Hc1 zenon_He0 zenon_Hc2 zenon_H91 zenon_H93 zenon_H151 zenon_H150 zenon_H14f zenon_H13 zenon_H15 zenon_H17. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H11 | zenon_intro zenon_H41 ]. % 1.22/1.41 apply (zenon_L12_); trivial. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H1a. zenon_intro zenon_H44. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H1d. zenon_intro zenon_H45. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H1e. zenon_intro zenon_H1f. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hd6 ]. % 1.22/1.41 apply (zenon_L87_); trivial. % 1.22/1.41 apply (zenon_L823_); trivial. % 1.22/1.41 (* end of lemma zenon_L831_ *) % 1.22/1.41 assert (zenon_L832_ : ((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> (~(hskp1)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> (~(c2_1 (a8))) -> (c1_1 (a8)) -> (c0_1 (a8)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(c3_1 (a18))) -> (c0_1 (a18)) -> (c2_1 (a18)) -> (~(hskp11)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp0)) -> ((hskp24)\/((hskp23)\/(hskp0))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (c0_1 (a15)) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53))))))) -> False). % 1.22/1.41 do 0 intro. intros zenon_H17c zenon_H17b zenon_Hde zenon_H162 zenon_H48 zenon_H177 zenon_Hfc zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_H21f zenon_H220 zenon_H228 zenon_H14a zenon_Hc1 zenon_He0 zenon_Hc2 zenon_H91 zenon_H93 zenon_H15 zenon_H17 zenon_H115 zenon_H116 zenon_H117 zenon_Hd zenon_H1a9 zenon_H9d. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H17c). zenon_intro zenon_H1a. zenon_intro zenon_H17d. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H14f. zenon_intro zenon_H17e. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_H150. zenon_intro zenon_H151. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H13 | zenon_intro zenon_Ha1 ]. % 1.22/1.41 apply (zenon_L831_); trivial. % 1.22/1.41 apply (zenon_L511_); trivial. % 1.22/1.41 apply (zenon_L93_); trivial. % 1.22/1.41 (* end of lemma zenon_L832_ *) % 1.22/1.41 assert (zenon_L833_ : ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> (~(hskp1)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp27)\/(hskp26))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a11))/\((c1_1 (a11))/\(c3_1 (a11)))))) -> (~(hskp17)) -> ((hskp25)\/((hskp17)\/(hskp21))) -> (~(hskp0)) -> ((hskp24)\/((hskp23)\/(hskp0))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (c0_1 (a15)) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> (~(c2_1 (a8))) -> (c1_1 (a8)) -> (c0_1 (a8)) -> (~(hskp9)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((hskp9)\/(hskp24))) -> (ndr1_0) -> (~(c3_1 (a18))) -> (c0_1 (a18)) -> (c2_1 (a18)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp11)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> False). % 1.22/1.41 do 0 intro. intros zenon_H17a zenon_Hde zenon_H162 zenon_H177 zenon_H1da zenon_H166 zenon_H95 zenon_H167 zenon_H1f2 zenon_H12a zenon_H97 zenon_H9 zenon_H130 zenon_H15 zenon_H17 zenon_H115 zenon_H116 zenon_H117 zenon_Hd zenon_H1a9 zenon_H9d zenon_H1c1 zenon_Hfc zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_H21f zenon_H220 zenon_H228 zenon_H3 zenon_H7b zenon_H1a zenon_Hc1 zenon_He0 zenon_Hc2 zenon_H1c6 zenon_H14a zenon_H91 zenon_H93 zenon_H48 zenon_H17b. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H128 | zenon_intro zenon_H17c ]. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.22/1.41 apply (zenon_L822_); trivial. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H1a. zenon_intro zenon_H1d8. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1d0. zenon_intro zenon_H1d9. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1ce. zenon_intro zenon_H1cf. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H12e | zenon_intro zenon_H161 ]. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H13 | zenon_intro zenon_Ha1 ]. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H11 | zenon_intro zenon_H41 ]. % 1.22/1.41 apply (zenon_L12_); trivial. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H1a. zenon_intro zenon_H44. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H1d. zenon_intro zenon_H45. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H1e. zenon_intro zenon_H1f. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H12c | zenon_intro zenon_H148 ]. % 1.22/1.41 apply (zenon_L81_); trivial. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H1a. zenon_intro zenon_H14b. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H13b. zenon_intro zenon_H14c. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H14c). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1be ]. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H98 ]. % 1.22/1.41 apply (zenon_L824_); trivial. % 1.22/1.41 apply (zenon_L825_); trivial. % 1.22/1.41 apply (zenon_L820_); trivial. % 1.22/1.41 apply (zenon_L511_); trivial. % 1.22/1.41 apply (zenon_L830_); trivial. % 1.22/1.41 apply (zenon_L153_); trivial. % 1.22/1.41 apply (zenon_L832_); trivial. % 1.22/1.41 (* end of lemma zenon_L833_ *) % 1.22/1.41 assert (zenon_L834_ : ((~(hskp23))\/((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> (c0_1 (a15)) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> ((hskp24)\/((hskp23)\/(hskp0))) -> (~(hskp0)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp11)) -> (c2_1 (a18)) -> (c0_1 (a18)) -> (~(c3_1 (a18))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp19)) -> (c0_1 (a8)) -> (c1_1 (a8)) -> (~(c2_1 (a8))) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(c1_1 (a31))) -> (c0_1 (a31)) -> (c2_1 (a31)) -> (~(hskp4)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> False). % 1.22/1.41 do 0 intro. intros zenon_H9d zenon_H1a9 zenon_H117 zenon_H116 zenon_H115 zenon_H17 zenon_H15 zenon_H93 zenon_H91 zenon_Hc2 zenon_He0 zenon_Hc1 zenon_H14a zenon_H144 zenon_H228 zenon_H220 zenon_H21f zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_Hfc zenon_H32 zenon_H3c zenon_H33 zenon_Hd zenon_H42 zenon_H48. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H13 | zenon_intro zenon_Ha1 ]. % 1.22/1.41 apply (zenon_L776_); trivial. % 1.22/1.41 apply (zenon_L511_); trivial. % 1.22/1.41 (* end of lemma zenon_L834_ *) % 1.22/1.41 assert (zenon_L835_ : ((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> (~(c2_1 (a8))) -> (c1_1 (a8)) -> (c0_1 (a8)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(c3_1 (a18))) -> (c0_1 (a18)) -> (c2_1 (a18)) -> (~(hskp11)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp0)) -> ((hskp24)\/((hskp23)\/(hskp0))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (c0_1 (a15)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53))))))) -> False). % 1.22/1.41 do 0 intro. intros zenon_H9e zenon_H17b zenon_H48 zenon_H42 zenon_Hd zenon_Hfc zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_H21f zenon_H220 zenon_H228 zenon_H14a zenon_Hc1 zenon_He0 zenon_Hc2 zenon_H91 zenon_H93 zenon_H15 zenon_H17 zenon_H115 zenon_H116 zenon_H117 zenon_H1a9 zenon_H9d. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.22/1.41 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.22/1.41 apply (zenon_L834_); trivial. % 1.22/1.41 apply (zenon_L153_); trivial. % 1.22/1.41 (* end of lemma zenon_L835_ *) % 1.22/1.41 assert (zenon_L836_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> (c2_1 (a18)) -> (c0_1 (a18)) -> (~(c3_1 (a18))) -> (ndr1_0) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((hskp9)\/(hskp24))) -> (~(hskp9)) -> (c0_1 (a8)) -> (c1_1 (a8)) -> (~(c2_1 (a8))) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> (~(hskp4)) -> (c0_1 (a15)) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> ((hskp24)\/((hskp23)\/(hskp0))) -> (~(hskp0)) -> ((hskp25)\/((hskp17)\/(hskp21))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a11))/\((c1_1 (a11))/\(c3_1 (a11)))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp27)\/(hskp26))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> (~(hskp1)) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> False). % 1.22/1.41 do 0 intro. intros zenon_H9c zenon_H42 zenon_H17b zenon_H48 zenon_H93 zenon_H91 zenon_H14a zenon_H1c6 zenon_Hc2 zenon_He0 zenon_Hc1 zenon_H1a zenon_H7b zenon_H3 zenon_H228 zenon_H220 zenon_H21f zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_Hfc zenon_H1c1 zenon_H9d zenon_H1a9 zenon_Hd zenon_H117 zenon_H116 zenon_H115 zenon_H17 zenon_H15 zenon_H130 zenon_H97 zenon_H12a zenon_H1f2 zenon_H167 zenon_H95 zenon_H166 zenon_H1da zenon_H177 zenon_H162 zenon_Hde zenon_H17a. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.22/1.41 apply (zenon_L833_); trivial. % 1.22/1.41 apply (zenon_L835_); trivial. % 1.22/1.41 (* end of lemma zenon_L836_ *) % 1.22/1.41 assert (zenon_L837_ : ((~(hskp10))\/((ndr1_0)/\((c0_1 (a18))/\((c2_1 (a18))/\(~(c3_1 (a18))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> (~(hskp9)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((hskp9)\/(hskp24))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(~(c3_1 (a25))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> ((hskp25)\/((hskp17)\/(hskp21))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c1_1 (a8)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> (~(hskp1)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> (~(hskp7)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp27)\/(hskp7))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp27)\/(hskp26))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> (c0_1 (a15)) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (c0_1 (a8)) -> (~(c2_1 (a8))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a11))/\((c1_1 (a11))/\(c3_1 (a11)))))) -> (~(hskp0)) -> ((hskp24)\/((hskp23)\/(hskp0))) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(hskp7)) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a19))/\((~(c1_1 (a19)))/\(~(c3_1 (a19))))))) -> False). % 1.22/1.41 do 0 intro. intros zenon_H212 zenon_H1da zenon_H3 zenon_H7b zenon_H1c6 zenon_H1a2 zenon_H17a zenon_H17b zenon_H43 zenon_H130 zenon_H93 zenon_H14a zenon_H220 zenon_H177 zenon_H167 zenon_Hde zenon_H162 zenon_H166 zenon_H48 zenon_H1c1 zenon_H1 zenon_H299 zenon_H1f2 zenon_Hfc zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_H117 zenon_H115 zenon_H116 zenon_H228 zenon_H21f zenon_H149 zenon_H12a zenon_H97 zenon_H15 zenon_H17 zenon_Hd zenon_H1a9 zenon_H9d zenon_H42 zenon_H95 zenon_H9c zenon_Hb7 zenon_H213. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H2d | zenon_intro zenon_H217 ]. % 1.22/1.41 apply (zenon_L817_); trivial. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H1a. zenon_intro zenon_H218. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_He0. zenon_intro zenon_H219. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_Hc2. zenon_intro zenon_Hc1. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H91 | zenon_intro zenon_He5 ]. % 1.22/1.41 apply (zenon_L836_); trivial. % 1.22/1.41 apply (zenon_L62_); trivial. % 1.22/1.41 (* end of lemma zenon_L837_ *) % 1.22/1.41 assert (zenon_L838_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a11))/\((c1_1 (a11))/\(c3_1 (a11)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (~(hskp15)) -> (~(c2_1 (a8))) -> (c0_1 (a8)) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> (c0_1 (a15)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> (~(hskp18)) -> (~(hskp17)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c3_1 (a3)) -> (c2_1 (a3)) -> (c1_1 (a3)) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (~(c2_1 (a16))) -> (ndr1_0) -> (~(hskp26)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp27)\/(hskp26))) -> False). % 1.22/1.41 do 0 intro. intros zenon_H97 zenon_H149 zenon_H146 zenon_H21f zenon_H228 zenon_H116 zenon_H115 zenon_H117 zenon_H12a zenon_H128 zenon_H9 zenon_Hfc zenon_H1f zenon_H1e zenon_H1d zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_Heb zenon_Hea zenon_He9 zenon_H1a zenon_H1b3 zenon_H1f2. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H98 ]. % 1.22/1.41 apply (zenon_L699_); trivial. % 1.22/1.41 apply (zenon_L783_); trivial. % 1.22/1.41 (* end of lemma zenon_L838_ *) % 1.22/1.41 assert (zenon_L839_ : ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (c0_1 (a11)) -> (c3_1 (a11)) -> (c1_1 (a11)) -> (~(c2_1 (a16))) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> (c2_1 (a31)) -> (c0_1 (a31)) -> (ndr1_0) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c0_1 (a8)) -> (c1_1 (a8)) -> (~(c2_1 (a8))) -> (c3_1 (a3)) -> (c2_1 (a3)) -> (c1_1 (a3)) -> (forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32)))))) -> (~(hskp19)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(hskp11)) -> False). % 1.22/1.41 do 0 intro. intros zenon_H93 zenon_H9b zenon_H70 zenon_H6f zenon_He9 zenon_Hea zenon_Heb zenon_H33 zenon_H3c zenon_H1a zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_H14a zenon_H228 zenon_H220 zenon_H21f zenon_H1f zenon_H1e zenon_H1d zenon_H1b zenon_H144 zenon_Hfc zenon_H91. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H49 | zenon_intro zenon_H94 ]. % 1.22/1.41 apply (zenon_L742_); trivial. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H8e | zenon_intro zenon_H92 ]. % 1.22/1.41 apply (zenon_L768_); trivial. % 1.22/1.41 exact (zenon_H91 zenon_H92). % 1.22/1.41 (* end of lemma zenon_L839_ *) % 1.22/1.41 assert (zenon_L840_ : ((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (~(hskp10)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp27)\/(hskp26))) -> (~(c2_1 (a16))) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp11)) -> (c0_1 (a8)) -> (c1_1 (a8)) -> (~(c2_1 (a8))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp4)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a11))/\((c1_1 (a11))/\(c3_1 (a11)))))) -> (~(hskp0)) -> ((hskp24)\/((hskp23)\/(hskp0))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (c0_1 (a15)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53))))))) -> False). % 1.22/1.41 do 0 intro. intros zenon_H9e zenon_H17b zenon_H95 zenon_H2d zenon_H43 zenon_H48 zenon_H1c1 zenon_H1f2 zenon_He9 zenon_Hea zenon_Heb zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_Hfc zenon_H93 zenon_H91 zenon_H228 zenon_H220 zenon_H21f zenon_H14a zenon_Hd zenon_H42 zenon_H97 zenon_H15 zenon_H17 zenon_H115 zenon_H116 zenon_H117 zenon_H1a9 zenon_H9d. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.22/1.41 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H13 | zenon_intro zenon_Ha1 ]. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H11 | zenon_intro zenon_H41 ]. % 1.22/1.41 apply (zenon_L12_); trivial. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H1a. zenon_intro zenon_H44. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H1d. zenon_intro zenon_H45. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H1e. zenon_intro zenon_H1f. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1be ]. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H98 ]. % 1.22/1.41 apply (zenon_L699_); trivial. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H98). zenon_intro zenon_H1a. zenon_intro zenon_H99. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H99). zenon_intro zenon_H9b. zenon_intro zenon_H9a. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H9a). zenon_intro zenon_H6f. zenon_intro zenon_H70. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H1b | zenon_intro zenon_H46 ]. % 1.22/1.41 apply (zenon_L839_); trivial. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_He ]. % 1.22/1.41 apply (zenon_L700_); trivial. % 1.22/1.41 exact (zenon_Hd zenon_He). % 1.22/1.41 apply (zenon_L696_); trivial. % 1.22/1.41 apply (zenon_L511_); trivial. % 1.22/1.41 apply (zenon_L724_); trivial. % 1.22/1.41 (* end of lemma zenon_L840_ *) % 1.22/1.41 assert (zenon_L841_ : (forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36)))))) -> (ndr1_0) -> (forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40)))))) -> (~(c1_1 (a42))) -> (c3_1 (a42)) -> (c2_1 (a42)) -> False). % 1.22/1.41 do 0 intro. intros zenon_H49 zenon_H1a zenon_H243 zenon_H158 zenon_H15a zenon_H159. % 1.22/1.41 generalize (zenon_H49 (a42)). zenon_intro zenon_H2cf. % 1.22/1.41 apply (zenon_imply_s _ _ zenon_H2cf); [ zenon_intro zenon_H19 | zenon_intro zenon_H2d0 ]. % 1.22/1.41 exact (zenon_H19 zenon_H1a). % 1.22/1.41 apply (zenon_or_s _ _ zenon_H2d0); [ zenon_intro zenon_H27f | zenon_intro zenon_H15d ]. % 1.22/1.41 generalize (zenon_H243 (a42)). zenon_intro zenon_H2d1. % 1.22/1.41 apply (zenon_imply_s _ _ zenon_H2d1); [ zenon_intro zenon_H19 | zenon_intro zenon_H2d2 ]. % 1.22/1.41 exact (zenon_H19 zenon_H1a). % 1.22/1.41 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H15e | zenon_intro zenon_H2d3 ]. % 1.22/1.41 exact (zenon_H158 zenon_H15e). % 1.22/1.41 apply (zenon_or_s _ _ zenon_H2d3); [ zenon_intro zenon_H27b | zenon_intro zenon_H15f ]. % 1.22/1.41 exact (zenon_H27b zenon_H27f). % 1.22/1.41 exact (zenon_H15f zenon_H15a). % 1.22/1.41 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H160 | zenon_intro zenon_H15f ]. % 1.22/1.41 exact (zenon_H160 zenon_H159). % 1.22/1.41 exact (zenon_H15f zenon_H15a). % 1.22/1.41 (* end of lemma zenon_L841_ *) % 1.22/1.41 assert (zenon_L842_ : ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/(hskp13))) -> (c0_1 (a15)) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> (c2_1 (a42)) -> (c3_1 (a42)) -> (~(c1_1 (a42))) -> (ndr1_0) -> (forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36)))))) -> (~(hskp13)) -> False). % 1.22/1.41 do 0 intro. intros zenon_H247 zenon_H117 zenon_H116 zenon_H115 zenon_H159 zenon_H15a zenon_H158 zenon_H1a zenon_H49 zenon_H5. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H247); [ zenon_intro zenon_Hf2 | zenon_intro zenon_H248 ]. % 1.22/1.41 apply (zenon_L73_); trivial. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H248); [ zenon_intro zenon_H243 | zenon_intro zenon_H6 ]. % 1.22/1.41 apply (zenon_L841_); trivial. % 1.22/1.41 exact (zenon_H5 zenon_H6). % 1.22/1.41 (* end of lemma zenon_L842_ *) % 1.22/1.41 assert (zenon_L843_ : ((ndr1_0)/\((c0_1 (a11))/\((c1_1 (a11))/\(c3_1 (a11))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp13)) -> (~(c1_1 (a42))) -> (c3_1 (a42)) -> (c2_1 (a42)) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (c0_1 (a15)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/(hskp13))) -> (~(hskp18)) -> (~(hskp17)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> (~(c3_1 (a25))) -> (c0_1 (a25)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(hskp11)) -> False). % 1.22/1.41 do 0 intro. intros zenon_H98 zenon_H93 zenon_H5 zenon_H158 zenon_H15a zenon_H159 zenon_H115 zenon_H116 zenon_H117 zenon_H247 zenon_H128 zenon_H9 zenon_H12a zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_H18e zenon_H18f zenon_Hfc zenon_H91. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H98). zenon_intro zenon_H1a. zenon_intro zenon_H99. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H99). zenon_intro zenon_H9b. zenon_intro zenon_H9a. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H9a). zenon_intro zenon_H6f. zenon_intro zenon_H70. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H49 | zenon_intro zenon_H94 ]. % 1.22/1.41 apply (zenon_L842_); trivial. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H8e | zenon_intro zenon_H92 ]. % 1.22/1.41 apply (zenon_L798_); trivial. % 1.22/1.41 exact (zenon_H91 zenon_H92). % 1.22/1.41 (* end of lemma zenon_L843_ *) % 1.22/1.41 assert (zenon_L844_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a11))/\((c1_1 (a11))/\(c3_1 (a11)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp11)) -> (~(c3_1 (a25))) -> (c0_1 (a25)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> (~(hskp18)) -> (~(hskp17)) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (c0_1 (a15)) -> (~(c1_1 (a42))) -> (c3_1 (a42)) -> (c2_1 (a42)) -> (~(hskp13)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/(hskp13))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c3_1 (a3)) -> (c2_1 (a3)) -> (c1_1 (a3)) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (~(c2_1 (a16))) -> (ndr1_0) -> (~(hskp26)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp27)\/(hskp26))) -> False). % 1.22/1.41 do 0 intro. intros zenon_H97 zenon_H93 zenon_H91 zenon_H18e zenon_H18f zenon_H12a zenon_H128 zenon_H9 zenon_H115 zenon_H116 zenon_H117 zenon_H158 zenon_H15a zenon_H159 zenon_H5 zenon_H247 zenon_Hfc zenon_H1f zenon_H1e zenon_H1d zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_Heb zenon_Hea zenon_He9 zenon_H1a zenon_H1b3 zenon_H1f2. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H98 ]. % 1.22/1.41 apply (zenon_L699_); trivial. % 1.22/1.41 apply (zenon_L843_); trivial. % 1.22/1.41 (* end of lemma zenon_L844_ *) % 1.22/1.41 assert (zenon_L845_ : ((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp19)) -> (c0_1 (a8)) -> (c1_1 (a8)) -> (~(c2_1 (a8))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp27)\/(hskp26))) -> (~(c2_1 (a16))) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/(hskp13))) -> (~(hskp13)) -> (c2_1 (a42)) -> (c3_1 (a42)) -> (~(c1_1 (a42))) -> (c0_1 (a15)) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> (~(hskp17)) -> (~(hskp18)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> (c0_1 (a25)) -> (~(c3_1 (a25))) -> (~(hskp11)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a11))/\((c1_1 (a11))/\(c3_1 (a11)))))) -> False). % 1.22/1.41 do 0 intro. intros zenon_H41 zenon_H1c1 zenon_H14a zenon_H144 zenon_H228 zenon_H220 zenon_H21f zenon_H1f2 zenon_He9 zenon_Hea zenon_Heb zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_Hfc zenon_H247 zenon_H5 zenon_H159 zenon_H15a zenon_H158 zenon_H117 zenon_H116 zenon_H115 zenon_H9 zenon_H128 zenon_H12a zenon_H18f zenon_H18e zenon_H91 zenon_H93 zenon_H97. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H1a. zenon_intro zenon_H44. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H1d. zenon_intro zenon_H45. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H1e. zenon_intro zenon_H1f. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1be ]. % 1.22/1.41 apply (zenon_L844_); trivial. % 1.22/1.41 apply (zenon_L802_); trivial. % 1.22/1.41 (* end of lemma zenon_L845_ *) % 1.22/1.41 assert (zenon_L846_ : ((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (c3_1 (a33)) -> (c2_1 (a33)) -> (~(c0_1 (a33))) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> (~(c3_1 (a25))) -> (c0_1 (a25)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(hskp11)) -> False). % 1.22/1.41 do 0 intro. intros zenon_H148 zenon_H93 zenon_H171 zenon_H16a zenon_H168 zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_H18e zenon_H18f zenon_Hfc zenon_H91. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H1a. zenon_intro zenon_H14b. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H13b. zenon_intro zenon_H14c. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H14c). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H49 | zenon_intro zenon_H94 ]. % 1.22/1.41 apply (zenon_L105_); trivial. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H8e | zenon_intro zenon_H92 ]. % 1.22/1.41 apply (zenon_L795_); trivial. % 1.22/1.41 exact (zenon_H91 zenon_H92). % 1.22/1.41 (* end of lemma zenon_L846_ *) % 1.22/1.41 assert (zenon_L847_ : ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp11)) -> (~(c3_1 (a25))) -> (c0_1 (a25)) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c3_1 (a33)) -> (c2_1 (a33)) -> (~(c0_1 (a33))) -> (~(hskp17)) -> (~(hskp21)) -> ((hskp25)\/((hskp17)\/(hskp21))) -> False). % 1.22/1.41 do 0 intro. intros zenon_H167 zenon_H93 zenon_H91 zenon_H18e zenon_H18f zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_Hfc zenon_H171 zenon_H16a zenon_H168 zenon_H9 zenon_H12e zenon_H130. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H12c | zenon_intro zenon_H148 ]. % 1.22/1.41 apply (zenon_L81_); trivial. % 1.22/1.41 apply (zenon_L846_); trivial. % 1.22/1.41 (* end of lemma zenon_L847_ *) % 1.22/1.41 assert (zenon_L848_ : ((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (~(c2_1 (a16))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> (~(hskp4)) -> (c0_1 (a15)) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp27)\/(hskp26))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/(hskp13))) -> (~(hskp13)) -> (~(hskp18)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a11))/\((c1_1 (a11))/\(c3_1 (a11)))))) -> ((hskp25)\/((hskp17)\/(hskp21))) -> (~(hskp17)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> (c0_1 (a25)) -> (~(c3_1 (a25))) -> (~(hskp11)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> False). % 1.22/1.41 do 0 intro. intros zenon_H176 zenon_H166 zenon_H1c1 zenon_Heb zenon_Hea zenon_He9 zenon_H1a9 zenon_Hd zenon_H117 zenon_H116 zenon_H115 zenon_H43 zenon_H2d zenon_H1f2 zenon_H247 zenon_H5 zenon_H128 zenon_H12a zenon_H97 zenon_H130 zenon_H9 zenon_Hfc zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_H18f zenon_H18e zenon_H91 zenon_H93 zenon_H167. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1a. zenon_intro zenon_H178. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H16a. zenon_intro zenon_H179. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H171. zenon_intro zenon_H168. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H12e | zenon_intro zenon_H161 ]. % 1.22/1.41 apply (zenon_L847_); trivial. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H161). zenon_intro zenon_H1a. zenon_intro zenon_H163. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H159. zenon_intro zenon_H164. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H15a. zenon_intro zenon_H158. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1be ]. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H98 ]. % 1.22/1.41 apply (zenon_L593_); trivial. % 1.22/1.41 apply (zenon_L843_); trivial. % 1.22/1.41 apply (zenon_L696_); trivial. % 1.22/1.41 (* end of lemma zenon_L848_ *) % 1.22/1.41 assert (zenon_L849_ : ((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> (c0_1 (a8)) -> (c1_1 (a8)) -> (~(c2_1 (a8))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp27)\/(hskp26))) -> (~(c2_1 (a16))) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp11)) -> (~(c3_1 (a25))) -> (c0_1 (a25)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp10)) -> (~(hskp4)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a11))/\((c1_1 (a11))/\(c3_1 (a11)))))) -> (~(hskp0)) -> ((hskp24)\/((hskp23)\/(hskp0))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (c0_1 (a15)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53))))))) -> False). % 1.22/1.41 do 0 intro. intros zenon_H9e zenon_H17b zenon_H95 zenon_H48 zenon_H1c1 zenon_H228 zenon_H220 zenon_H21f zenon_H1f2 zenon_He9 zenon_Hea zenon_Heb zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_Hfc zenon_H93 zenon_H91 zenon_H18e zenon_H18f zenon_H14a zenon_H43 zenon_H2d zenon_Hd zenon_H42 zenon_H97 zenon_H15 zenon_H17 zenon_H115 zenon_H116 zenon_H117 zenon_H1a9 zenon_H9d. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.22/1.41 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H13 | zenon_intro zenon_Ha1 ]. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H11 | zenon_intro zenon_H41 ]. % 1.22/1.41 apply (zenon_L12_); trivial. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H1a. zenon_intro zenon_H44. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H1d. zenon_intro zenon_H45. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H1e. zenon_intro zenon_H1f. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1be ]. % 1.22/1.41 apply (zenon_L746_); trivial. % 1.22/1.41 apply (zenon_L802_); trivial. % 1.22/1.41 apply (zenon_L511_); trivial. % 1.22/1.41 apply (zenon_L724_); trivial. % 1.22/1.41 (* end of lemma zenon_L849_ *) % 1.22/1.41 assert (zenon_L850_ : ((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(~(c3_1 (a25)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp10)) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> (~(hskp4)) -> (c0_1 (a15)) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> ((hskp24)\/((hskp23)\/(hskp0))) -> (~(hskp0)) -> ((hskp25)\/((hskp17)\/(hskp21))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a11))/\((c1_1 (a11))/\(c3_1 (a11)))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c0_1 (a8)) -> (c1_1 (a8)) -> (~(c2_1 (a8))) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp27)\/(hskp26))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> (~(c2_1 (a16))) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/(hskp13))) -> (~(hskp13)) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> (~(hskp1)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> False). % 1.22/1.41 do 0 intro. intros zenon_H19f zenon_H9c zenon_H95 zenon_H42 zenon_H17b zenon_H43 zenon_H2d zenon_H9d zenon_H1a9 zenon_Hd zenon_H117 zenon_H116 zenon_H115 zenon_H17 zenon_H15 zenon_H130 zenon_H97 zenon_H12a zenon_H93 zenon_H91 zenon_H14a zenon_H228 zenon_H220 zenon_H21f zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_Hfc zenon_H1f2 zenon_H1c1 zenon_H167 zenon_H48 zenon_He9 zenon_Hea zenon_Heb zenon_H247 zenon_H5 zenon_H166 zenon_H162 zenon_Hde zenon_H177 zenon_H17a. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H1a. zenon_intro zenon_H1a0. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H18f. zenon_intro zenon_H1a1. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H19a. zenon_intro zenon_H18e. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H128 | zenon_intro zenon_H17c ]. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H12e | zenon_intro zenon_H161 ]. % 1.22/1.41 apply (zenon_L804_); trivial. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H161). zenon_intro zenon_H1a. zenon_intro zenon_H163. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H159. zenon_intro zenon_H164. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H15a. zenon_intro zenon_H158. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H13 | zenon_intro zenon_Ha1 ]. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H11 | zenon_intro zenon_H41 ]. % 1.22/1.41 apply (zenon_L12_); trivial. % 1.22/1.41 apply (zenon_L845_); trivial. % 1.22/1.41 apply (zenon_L511_); trivial. % 1.22/1.41 apply (zenon_L848_); trivial. % 1.22/1.41 apply (zenon_L811_); trivial. % 1.22/1.41 apply (zenon_L849_); trivial. % 1.22/1.41 (* end of lemma zenon_L850_ *) % 1.22/1.41 assert (zenon_L851_ : ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (~(c2_1 (a16))) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> (forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37)))))) -> (ndr1_0) -> (c0_1 (a9)) -> (c2_1 (a9)) -> False). % 1.22/1.41 do 0 intro. intros zenon_Hfc zenon_Heb zenon_Hea zenon_He9 zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_H8e zenon_H1a zenon_H13b zenon_H13d. % 1.22/1.41 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfd ]. % 1.22/1.41 apply (zenon_L63_); trivial. % 1.22/1.41 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hf3 | zenon_intro zenon_Hcd ]. % 1.22/1.41 apply (zenon_L687_); trivial. % 1.22/1.41 apply (zenon_L605_); trivial. % 1.22/1.41 (* end of lemma zenon_L851_ *) % 1.22/1.41 assert (zenon_L852_ : ((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp27)\/(hskp26))) -> (~(c2_1 (a16))) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> (c1_1 (a3)) -> (c2_1 (a3)) -> (c3_1 (a3)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(hskp19)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp11)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a11))/\((c1_1 (a11))/\(c3_1 (a11)))))) -> False). % 1.22/1.41 do 0 intro. intros zenon_H148 zenon_H1c1 zenon_H1f2 zenon_He9 zenon_Hea zenon_Heb zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_H1d zenon_H1e zenon_H1f zenon_Hfc zenon_H144 zenon_H14a zenon_H91 zenon_H93 zenon_H97. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H1a. zenon_intro zenon_H14b. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H13b. zenon_intro zenon_H14c. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H14c). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1be ]. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H98 ]. % 1.22/1.41 apply (zenon_L699_); trivial. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H98). zenon_intro zenon_H1a. zenon_intro zenon_H99. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H99). zenon_intro zenon_H9b. zenon_intro zenon_H9a. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H9a). zenon_intro zenon_H6f. zenon_intro zenon_H70. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H49 | zenon_intro zenon_H94 ]. % 1.22/1.41 apply (zenon_L742_); trivial. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H8e | zenon_intro zenon_H92 ]. % 1.22/1.41 apply (zenon_L851_); trivial. % 1.22/1.41 exact (zenon_H91 zenon_H92). % 1.22/1.41 apply (zenon_L696_); trivial. % 1.22/1.41 (* end of lemma zenon_L852_ *) % 1.22/1.41 assert (zenon_L853_ : ((~(hskp23))\/((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> (~(hskp4)) -> (c0_1 (a15)) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> ((hskp24)\/((hskp23)\/(hskp0))) -> (~(hskp0)) -> ((hskp25)\/((hskp17)\/(hskp21))) -> (~(hskp21)) -> (~(hskp17)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a11))/\((c1_1 (a11))/\(c3_1 (a11)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp19)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (~(c2_1 (a16))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp27)\/(hskp26))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> False). % 1.22/1.41 do 0 intro. intros zenon_H9d zenon_H1a9 zenon_Hd zenon_H117 zenon_H116 zenon_H115 zenon_H17 zenon_H15 zenon_H130 zenon_H12e zenon_H9 zenon_H97 zenon_H93 zenon_H91 zenon_H14a zenon_H144 zenon_Hfc zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_Heb zenon_Hea zenon_He9 zenon_H1f2 zenon_H1c1 zenon_H167 zenon_H48. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H13 | zenon_intro zenon_Ha1 ]. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H11 | zenon_intro zenon_H41 ]. % 1.22/1.41 apply (zenon_L12_); trivial. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H1a. zenon_intro zenon_H44. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H1d. zenon_intro zenon_H45. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H1e. zenon_intro zenon_H1f. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H12c | zenon_intro zenon_H148 ]. % 1.22/1.41 apply (zenon_L81_); trivial. % 1.22/1.41 apply (zenon_L852_); trivial. % 1.22/1.41 apply (zenon_L511_); trivial. % 1.22/1.41 (* end of lemma zenon_L853_ *) % 1.22/1.41 assert (zenon_L854_ : ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (~(c2_1 (a16))) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> (ndr1_0) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6)))))) -> (~(c1_1 (a42))) -> (c2_1 (a42)) -> (c3_1 (a42)) -> False). % 1.22/1.41 do 0 intro. intros zenon_Hfc zenon_Heb zenon_Hea zenon_He9 zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_H1a zenon_H65 zenon_H158 zenon_H159 zenon_H15a. % 1.22/1.41 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfd ]. % 1.22/1.41 apply (zenon_L63_); trivial. % 1.22/1.41 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hf3 | zenon_intro zenon_Hcd ]. % 1.22/1.41 apply (zenon_L687_); trivial. % 1.22/1.41 apply (zenon_L389_); trivial. % 1.22/1.41 (* end of lemma zenon_L854_ *) % 1.22/1.41 assert (zenon_L855_ : ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> (~(c2_1 (a16))) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c1_1 (a30)) -> (~(c2_1 (a30))) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c3_1 W)))))) -> (~(c0_1 (a30))) -> (ndr1_0) -> (~(c1_1 (a42))) -> (c2_1 (a42)) -> (c3_1 (a42)) -> False). % 1.22/1.41 do 0 intro. intros zenon_H95 zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_He9 zenon_Hea zenon_Heb zenon_Hfc zenon_H203 zenon_H202 zenon_H69 zenon_H201 zenon_H1a zenon_H158 zenon_H159 zenon_H15a. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H65 | zenon_intro zenon_H96 ]. % 1.22/1.41 apply (zenon_L854_); trivial. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H7f | zenon_intro zenon_H31 ]. % 1.22/1.41 apply (zenon_L372_); trivial. % 1.22/1.41 apply (zenon_L88_); trivial. % 1.22/1.41 (* end of lemma zenon_L855_ *) % 1.22/1.41 assert (zenon_L856_ : ((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c3_1 W)))))))) -> (~(c3_1 (a22))) -> (~(c2_1 (a22))) -> (~(c0_1 (a22))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> (~(c2_1 (a16))) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c1_1 (a30)) -> (~(c2_1 (a30))) -> (~(c0_1 (a30))) -> False). % 1.22/1.41 do 0 intro. intros zenon_H161 zenon_H277 zenon_H81 zenon_H89 zenon_H80 zenon_H95 zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_He9 zenon_Hea zenon_Heb zenon_Hfc zenon_H203 zenon_H202 zenon_H201. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H161). zenon_intro zenon_H1a. zenon_intro zenon_H163. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H159. zenon_intro zenon_H164. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H15a. zenon_intro zenon_H158. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H4b | zenon_intro zenon_H278 ]. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H65 | zenon_intro zenon_H96 ]. % 1.22/1.41 apply (zenon_L854_); trivial. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H7f | zenon_intro zenon_H31 ]. % 1.22/1.41 apply (zenon_L34_); trivial. % 1.22/1.41 apply (zenon_L88_); trivial. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H1e7 | zenon_intro zenon_H69 ]. % 1.22/1.41 apply (zenon_L221_); trivial. % 1.22/1.41 apply (zenon_L855_); trivial. % 1.22/1.41 (* end of lemma zenon_L856_ *) % 1.22/1.41 assert (zenon_L857_ : ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c3_1 W)))))))) -> (~(c0_1 (a30))) -> (~(c2_1 (a30))) -> (c1_1 (a30)) -> (~(c0_1 (a22))) -> (~(c3_1 (a22))) -> (~(c2_1 (a22))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp27)\/(hskp26))) -> (~(c2_1 (a16))) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(hskp19)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp11)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a11))/\((c1_1 (a11))/\(c3_1 (a11)))))) -> (~(hskp17)) -> ((hskp25)\/((hskp17)\/(hskp21))) -> (~(hskp0)) -> ((hskp24)\/((hskp23)\/(hskp0))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (c0_1 (a15)) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53))))))) -> False). % 1.22/1.41 do 0 intro. intros zenon_H166 zenon_H277 zenon_H201 zenon_H202 zenon_H203 zenon_H80 zenon_H81 zenon_H89 zenon_H95 zenon_H48 zenon_H167 zenon_H1c1 zenon_H1f2 zenon_He9 zenon_Hea zenon_Heb zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_Hfc zenon_H144 zenon_H14a zenon_H91 zenon_H93 zenon_H97 zenon_H9 zenon_H130 zenon_H15 zenon_H17 zenon_H115 zenon_H116 zenon_H117 zenon_Hd zenon_H1a9 zenon_H9d. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H12e | zenon_intro zenon_H161 ]. % 1.22/1.41 apply (zenon_L853_); trivial. % 1.22/1.41 apply (zenon_L856_); trivial. % 1.22/1.41 (* end of lemma zenon_L857_ *) % 1.22/1.41 assert (zenon_L858_ : ((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c3_1 W)))))))) -> (~(c0_1 (a30))) -> (~(c2_1 (a30))) -> (c1_1 (a30)) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (~(c2_1 (a16))) -> (~(c0_1 (a22))) -> (~(c3_1 (a22))) -> (~(c2_1 (a22))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((hskp25)\/((hskp17)\/(hskp21))) -> (~(hskp17)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> (~(hskp18)) -> (~(c2_1 (a8))) -> (c0_1 (a8)) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(hskp11)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> False). % 1.22/1.41 do 0 intro. intros zenon_H176 zenon_H166 zenon_H277 zenon_H201 zenon_H202 zenon_H203 zenon_Heb zenon_Hea zenon_He9 zenon_H80 zenon_H81 zenon_H89 zenon_H95 zenon_H130 zenon_H9 zenon_H12a zenon_H128 zenon_H21f zenon_H228 zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_Hfc zenon_H91 zenon_H93 zenon_H167. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1a. zenon_intro zenon_H178. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H16a. zenon_intro zenon_H179. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H171. zenon_intro zenon_H168. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H12e | zenon_intro zenon_H161 ]. % 1.22/1.41 apply (zenon_L808_); trivial. % 1.22/1.41 apply (zenon_L856_); trivial. % 1.22/1.41 (* end of lemma zenon_L858_ *) % 1.22/1.41 assert (zenon_L859_ : ((~(hskp11))\/((ndr1_0)/\((c2_1 (a19))/\((~(c1_1 (a19)))/\(~(c3_1 (a19))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(hskp7)) -> (~(hskp7)) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(~(c3_1 (a25))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/(hskp13))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp10)) -> ((hskp25)\/((hskp17)\/(hskp21))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c1_1 (a8)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> (~(hskp1)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp27)\/(hskp26))) -> (~(c2_1 (a16))) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> (c0_1 (a15)) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (c0_1 (a8)) -> (~(c2_1 (a8))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a11))/\((c1_1 (a11))/\(c3_1 (a11)))))) -> (~(hskp0)) -> ((hskp24)\/((hskp23)\/(hskp0))) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a30))/\((~(c0_1 (a30)))/\(~(c2_1 (a30))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c3_1 W)))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((hskp26)\/(hskp16))) -> ((~(hskp13))\/((ndr1_0)/\((~(c0_1 (a22)))/\((~(c2_1 (a22)))/\(~(c3_1 (a22))))))) -> False). % 1.22/1.41 do 0 intro. intros zenon_H213 zenon_Hb7 zenon_H1 zenon_H1a2 zenon_H247 zenon_H17a zenon_H17b zenon_H43 zenon_H2d zenon_H130 zenon_H93 zenon_H14a zenon_H220 zenon_H177 zenon_H167 zenon_Hde zenon_H162 zenon_H166 zenon_H48 zenon_H1c1 zenon_H1f2 zenon_He9 zenon_Hea zenon_Heb zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_Hfc zenon_H12a zenon_H117 zenon_H115 zenon_H116 zenon_H228 zenon_H21f zenon_H149 zenon_H97 zenon_H15 zenon_H17 zenon_Hd zenon_H1a9 zenon_H9d zenon_H42 zenon_H95 zenon_H9c zenon_H20a zenon_H277 zenon_H1ff zenon_H287. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H91 | zenon_intro zenon_He5 ]. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H5 | zenon_intro zenon_H284 ]. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H146 | zenon_intro zenon_H19f ]. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H128 | zenon_intro zenon_H17c ]. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H13 | zenon_intro zenon_Ha1 ]. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H11 | zenon_intro zenon_H41 ]. % 1.22/1.41 apply (zenon_L12_); trivial. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H1a. zenon_intro zenon_H44. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H1d. zenon_intro zenon_H45. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H1e. zenon_intro zenon_H1f. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1be ]. % 1.22/1.41 apply (zenon_L838_); trivial. % 1.22/1.41 apply (zenon_L696_); trivial. % 1.22/1.41 apply (zenon_L511_); trivial. % 1.22/1.41 apply (zenon_L792_); trivial. % 1.22/1.41 apply (zenon_L840_); trivial. % 1.22/1.41 apply (zenon_L850_); trivial. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H284). zenon_intro zenon_H1a. zenon_intro zenon_H285. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_H80. zenon_intro zenon_H286. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H286). zenon_intro zenon_H89. zenon_intro zenon_H81. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H146 | zenon_intro zenon_H19f ]. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H20a); [ zenon_intro zenon_H1fd | zenon_intro zenon_H20b ]. % 1.22/1.41 apply (zenon_L757_); trivial. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H20b). zenon_intro zenon_H1a. zenon_intro zenon_H20c. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H20c). zenon_intro zenon_H203. zenon_intro zenon_H20d. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H20d). zenon_intro zenon_H201. zenon_intro zenon_H202. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H128 | zenon_intro zenon_H17c ]. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.22/1.41 apply (zenon_L857_); trivial. % 1.22/1.41 apply (zenon_L858_); trivial. % 1.22/1.41 apply (zenon_L792_); trivial. % 1.22/1.41 apply (zenon_L840_); trivial. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H1a. zenon_intro zenon_H1a0. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H18f. zenon_intro zenon_H1a1. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H19a. zenon_intro zenon_H18e. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H20a); [ zenon_intro zenon_H1fd | zenon_intro zenon_H20b ]. % 1.22/1.41 apply (zenon_L757_); trivial. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H20b). zenon_intro zenon_H1a. zenon_intro zenon_H20c. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H20c). zenon_intro zenon_H203. zenon_intro zenon_H20d. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H20d). zenon_intro zenon_H201. zenon_intro zenon_H202. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H128 | zenon_intro zenon_H17c ]. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H12e | zenon_intro zenon_H161 ]. % 1.22/1.41 apply (zenon_L804_); trivial. % 1.22/1.41 apply (zenon_L856_); trivial. % 1.22/1.41 apply (zenon_L858_); trivial. % 1.22/1.41 apply (zenon_L811_); trivial. % 1.22/1.41 apply (zenon_L849_); trivial. % 1.22/1.41 apply (zenon_L62_); trivial. % 1.22/1.41 (* end of lemma zenon_L859_ *) % 1.22/1.41 assert (zenon_L860_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (~(c2_1 (a16))) -> (ndr1_0) -> (~(c3_1 (a18))) -> (c0_1 (a18)) -> (c2_1 (a18)) -> (~(hskp20)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> False). % 1.22/1.41 do 0 intro. intros zenon_H1c1 zenon_Hfc zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_Heb zenon_Hea zenon_He9 zenon_H1a zenon_Hc1 zenon_He0 zenon_Hc2 zenon_H1c4 zenon_H1c6. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1be ]. % 1.22/1.41 apply (zenon_L197_); trivial. % 1.22/1.41 apply (zenon_L696_); trivial. % 1.22/1.41 (* end of lemma zenon_L860_ *) % 1.22/1.41 assert (zenon_L861_ : ((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> (~(c2_1 (a16))) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c1_1 (a37)) -> (~(c3_1 (a37))) -> (~(c0_1 (a37))) -> False). % 1.22/1.41 do 0 intro. intros zenon_H161 zenon_H95 zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_He9 zenon_Hea zenon_Heb zenon_Hfc zenon_H1d0 zenon_H1cf zenon_H1ce. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H161). zenon_intro zenon_H1a. zenon_intro zenon_H163. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H159. zenon_intro zenon_H164. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H15a. zenon_intro zenon_H158. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H65 | zenon_intro zenon_H96 ]. % 1.22/1.41 apply (zenon_L854_); trivial. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H7f | zenon_intro zenon_H31 ]. % 1.22/1.41 apply (zenon_L144_); trivial. % 1.22/1.41 apply (zenon_L88_); trivial. % 1.22/1.41 (* end of lemma zenon_L861_ *) % 1.22/1.41 assert (zenon_L862_ : ((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp27)\/(hskp26))) -> (~(c2_1 (a16))) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(hskp19)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp11)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a11))/\((c1_1 (a11))/\(c3_1 (a11)))))) -> (~(hskp17)) -> ((hskp25)\/((hskp17)\/(hskp21))) -> (~(hskp0)) -> ((hskp24)\/((hskp23)\/(hskp0))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (c0_1 (a15)) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53))))))) -> False). % 1.22/1.41 do 0 intro. intros zenon_H1d7 zenon_H166 zenon_H95 zenon_H48 zenon_H167 zenon_H1c1 zenon_H1f2 zenon_He9 zenon_Hea zenon_Heb zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_Hfc zenon_H144 zenon_H14a zenon_H91 zenon_H93 zenon_H97 zenon_H9 zenon_H130 zenon_H15 zenon_H17 zenon_H115 zenon_H116 zenon_H117 zenon_Hd zenon_H1a9 zenon_H9d. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H1a. zenon_intro zenon_H1d8. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1d0. zenon_intro zenon_H1d9. % 1.22/1.41 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1ce. zenon_intro zenon_H1cf. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H12e | zenon_intro zenon_H161 ]. % 1.22/1.41 apply (zenon_L853_); trivial. % 1.22/1.41 apply (zenon_L861_); trivial. % 1.22/1.41 (* end of lemma zenon_L862_ *) % 1.22/1.41 assert (zenon_L863_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (~(c2_1 (a16))) -> (ndr1_0) -> (~(c3_1 (a18))) -> (c0_1 (a18)) -> (c2_1 (a18)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> (~(hskp4)) -> (c0_1 (a15)) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> ((hskp24)\/((hskp23)\/(hskp0))) -> (~(hskp0)) -> ((hskp25)\/((hskp17)\/(hskp21))) -> (~(hskp17)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a11))/\((c1_1 (a11))/\(c3_1 (a11)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp27)\/(hskp26))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> False). % 1.22/1.41 do 0 intro. intros zenon_H17b zenon_H1c1 zenon_Hfc zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_Heb zenon_Hea zenon_He9 zenon_H1a zenon_Hc1 zenon_He0 zenon_Hc2 zenon_H1c6 zenon_H9d zenon_H1a9 zenon_Hd zenon_H117 zenon_H116 zenon_H115 zenon_H17 zenon_H15 zenon_H130 zenon_H9 zenon_H97 zenon_H93 zenon_H91 zenon_H14a zenon_H1f2 zenon_H167 zenon_H48 zenon_H95 zenon_H166 zenon_H1da. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.22/1.41 apply (zenon_L860_); trivial. % 1.22/1.41 apply (zenon_L862_); trivial. % 1.22/1.41 apply (zenon_L153_); trivial. % 1.22/1.41 (* end of lemma zenon_L863_ *) % 1.22/1.41 assert (zenon_L864_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> (~(c2_1 (a8))) -> (c1_1 (a8)) -> (c0_1 (a8)) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp27)\/(hskp26))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp11)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a11))/\((c1_1 (a11))/\(c3_1 (a11)))))) -> ((hskp25)\/((hskp17)\/(hskp21))) -> (~(hskp0)) -> ((hskp24)\/((hskp23)\/(hskp0))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (c0_1 (a15)) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> (c2_1 (a18)) -> (c0_1 (a18)) -> (~(c3_1 (a18))) -> (ndr1_0) -> (~(c2_1 (a16))) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> False). % 1.22/1.41 do 0 intro. intros zenon_H9c zenon_H42 zenon_H21f zenon_H220 zenon_H228 zenon_H1da zenon_H166 zenon_H95 zenon_H48 zenon_H167 zenon_H1f2 zenon_H14a zenon_H91 zenon_H93 zenon_H97 zenon_H130 zenon_H15 zenon_H17 zenon_H115 zenon_H116 zenon_H117 zenon_Hd zenon_H1a9 zenon_H9d zenon_H1c6 zenon_Hc2 zenon_He0 zenon_Hc1 zenon_H1a zenon_He9 zenon_Hea zenon_Heb zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_Hfc zenon_H1c1 zenon_H17b. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.22/1.41 apply (zenon_L863_); trivial. % 1.22/1.41 apply (zenon_L835_); trivial. % 1.22/1.41 (* end of lemma zenon_L864_ *) % 1.22/1.41 assert (zenon_L865_ : ((ndr1_0)/\((c2_1 (a19))/\((~(c1_1 (a19)))/\(~(c3_1 (a19)))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> (c0_1 (a15)) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> ((hskp24)\/((hskp23)\/(hskp0))) -> (~(hskp0)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> False). % 1.22/1.41 do 0 intro. intros zenon_He5 zenon_H9d zenon_H1a9 zenon_H117 zenon_H116 zenon_H115 zenon_H17 zenon_H15 zenon_H1c1 zenon_H42 zenon_Hd zenon_Hd3 zenon_H1c2 zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_H1f0 zenon_H167 zenon_H48. % 1.22/1.41 apply (zenon_and_s _ _ zenon_He5). zenon_intro zenon_H1a. zenon_intro zenon_He6. % 1.22/1.41 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_Hb0. zenon_intro zenon_He7. % 1.22/1.41 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hae. zenon_intro zenon_Haf. % 1.22/1.41 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H13 | zenon_intro zenon_Ha1 ]. % 1.22/1.41 apply (zenon_L732_); trivial. % 1.22/1.41 apply (zenon_L511_); trivial. % 1.22/1.41 (* end of lemma zenon_L865_ *) % 1.22/1.41 assert (zenon_L866_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> (~(hskp10)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> (~(c2_1 (a8))) -> (c1_1 (a8)) -> (c0_1 (a8)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp11)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp0)) -> ((hskp24)\/((hskp23)\/(hskp0))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> (~(c2_1 (a14))) -> (c0_1 (a14)) -> (c3_1 (a14)) -> (~(hskp9)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((hskp9)\/(hskp24))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53))))))) -> (~(hskp8)) -> (~(hskp4)) -> ((hskp17)\/((hskp8)\/(hskp4))) -> False). % 1.22/1.42 do 0 intro. intros zenon_H9c zenon_H17b zenon_H95 zenon_H48 zenon_H42 zenon_H2d zenon_H43 zenon_Hfc zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_H21f zenon_H220 zenon_H228 zenon_H14a zenon_H91 zenon_H93 zenon_H15 zenon_H17 zenon_H1a9 zenon_H11f zenon_H120 zenon_H121 zenon_H3 zenon_H7b zenon_H9d zenon_Hb zenon_Hd zenon_Hf. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.22/1.42 apply (zenon_L8_); trivial. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.22/1.42 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H13 | zenon_intro zenon_Ha1 ]. % 1.22/1.42 apply (zenon_L775_); trivial. % 1.22/1.42 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H1a. zenon_intro zenon_Ha2. % 1.22/1.42 apply (zenon_and_s _ _ zenon_Ha2). zenon_intro zenon_H4d. zenon_intro zenon_Ha3. % 1.22/1.42 apply (zenon_and_s _ _ zenon_Ha3). zenon_intro zenon_H4a. zenon_intro zenon_H4c. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H11 | zenon_intro zenon_H41 ]. % 1.22/1.42 apply (zenon_L127_); trivial. % 1.22/1.42 apply (zenon_L770_); trivial. % 1.22/1.42 apply (zenon_L724_); trivial. % 1.22/1.42 (* end of lemma zenon_L866_ *) % 1.22/1.42 assert (zenon_L867_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> (~(hskp26)) -> (~(hskp25)) -> (~(c0_1 (a37))) -> (~(c3_1 (a37))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> (~(hskp11)) -> (~(c3_1 (a18))) -> (c0_1 (a18)) -> (c2_1 (a18)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(hskp19)) -> (c2_1 (a3)) -> (c3_1 (a3)) -> (c1_1 (a3)) -> (~(c2_1 (a8))) -> (c1_1 (a8)) -> (c0_1 (a8)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> (~(c1_1 (a31))) -> (c0_1 (a31)) -> (c2_1 (a31)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (ndr1_0) -> (~(c2_1 (a14))) -> (forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14)))))) -> (c0_1 (a14)) -> (c3_1 (a14)) -> False). % 1.22/1.42 do 0 intro. intros zenon_H1ee zenon_H1b3 zenon_H12c zenon_H1ce zenon_H1cf zenon_H1c2 zenon_H91 zenon_Hc1 zenon_He0 zenon_Hc2 zenon_Hfc zenon_H144 zenon_H1e zenon_H1f zenon_H1d zenon_H21f zenon_H220 zenon_H228 zenon_H14a zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_H32 zenon_H3c zenon_H33 zenon_H93 zenon_H1a zenon_H11f zenon_Hf2 zenon_H120 zenon_H121. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H1ee); [ zenon_intro zenon_H1e7 | zenon_intro zenon_H1ef ]. % 1.22/1.42 apply (zenon_L167_); trivial. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H3b | zenon_intro zenon_H6d ]. % 1.22/1.42 apply (zenon_L772_); trivial. % 1.22/1.42 apply (zenon_L109_); trivial. % 1.22/1.42 (* end of lemma zenon_L867_ *) % 1.22/1.42 assert (zenon_L868_ : ((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> (~(c3_1 (a37))) -> (~(c0_1 (a37))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp11)) -> (c2_1 (a18)) -> (c0_1 (a18)) -> (~(c3_1 (a18))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp19)) -> (c0_1 (a8)) -> (c1_1 (a8)) -> (~(c2_1 (a8))) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> (~(c1_1 (a31))) -> (c0_1 (a31)) -> (c2_1 (a31)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(c2_1 (a14))) -> (c0_1 (a14)) -> (c3_1 (a14)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> (c3_1 (a53)) -> (~(c1_1 (a53))) -> (~(c0_1 (a53))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> False). % 1.22/1.42 do 0 intro. intros zenon_H41 zenon_H167 zenon_H149 zenon_H146 zenon_H1a9 zenon_Hd zenon_H1c2 zenon_H1cf zenon_H1ce zenon_H93 zenon_H91 zenon_Hc2 zenon_He0 zenon_Hc1 zenon_H14a zenon_H144 zenon_H228 zenon_H220 zenon_H21f zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_H32 zenon_H3c zenon_H33 zenon_Hfc zenon_H11f zenon_H120 zenon_H121 zenon_H1ee zenon_H4d zenon_H4c zenon_H4a zenon_H1c1. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H1a. zenon_intro zenon_H44. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H1d. zenon_intro zenon_H45. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H1e. zenon_intro zenon_H1f. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H12c | zenon_intro zenon_H148 ]. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1be ]. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H1aa ]. % 1.22/1.42 apply (zenon_L125_); trivial. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_Hf2 | zenon_intro zenon_He ]. % 1.22/1.42 apply (zenon_L867_); trivial. % 1.22/1.42 exact (zenon_Hd zenon_He). % 1.22/1.42 apply (zenon_L820_); trivial. % 1.22/1.42 apply (zenon_L86_); trivial. % 1.22/1.42 (* end of lemma zenon_L868_ *) % 1.22/1.42 assert (zenon_L869_ : ((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> (~(c3_1 (a37))) -> (~(c0_1 (a37))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp11)) -> (c2_1 (a18)) -> (c0_1 (a18)) -> (~(c3_1 (a18))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp19)) -> (c0_1 (a8)) -> (c1_1 (a8)) -> (~(c2_1 (a8))) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> (~(c1_1 (a31))) -> (c0_1 (a31)) -> (c2_1 (a31)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((hskp9)\/(hskp24))) -> (~(hskp9)) -> (c3_1 (a14)) -> (c0_1 (a14)) -> (~(c2_1 (a14))) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> False). % 1.22/1.42 do 0 intro. intros zenon_Ha1 zenon_H48 zenon_H167 zenon_H149 zenon_H146 zenon_H1c2 zenon_H1cf zenon_H1ce zenon_H93 zenon_H91 zenon_Hc2 zenon_He0 zenon_Hc1 zenon_H14a zenon_H144 zenon_H228 zenon_H220 zenon_H21f zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_H32 zenon_H3c zenon_H33 zenon_Hfc zenon_H1ee zenon_H1c1 zenon_H7b zenon_H3 zenon_H121 zenon_H120 zenon_H11f zenon_Hd zenon_H1a9. % 1.22/1.42 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H1a. zenon_intro zenon_Ha2. % 1.22/1.42 apply (zenon_and_s _ _ zenon_Ha2). zenon_intro zenon_H4d. zenon_intro zenon_Ha3. % 1.22/1.42 apply (zenon_and_s _ _ zenon_Ha3). zenon_intro zenon_H4a. zenon_intro zenon_H4c. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H11 | zenon_intro zenon_H41 ]. % 1.22/1.42 apply (zenon_L127_); trivial. % 1.22/1.42 apply (zenon_L868_); trivial. % 1.22/1.42 (* end of lemma zenon_L869_ *) % 1.22/1.42 assert (zenon_L870_ : ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (c3_1 (a3)) -> (c2_1 (a3)) -> (c1_1 (a3)) -> (forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c0_1 (a8)) -> (c1_1 (a8)) -> (~(c2_1 (a8))) -> (~(hskp19)) -> (c2_1 (a31)) -> (c0_1 (a31)) -> (ndr1_0) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> (~(c3_1 (a25))) -> (c0_1 (a25)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(hskp11)) -> False). % 1.22/1.42 do 0 intro. intros zenon_H93 zenon_H1f zenon_H1e zenon_H1d zenon_Hd6 zenon_H14a zenon_H228 zenon_H220 zenon_H21f zenon_H144 zenon_H33 zenon_H3c zenon_H1a zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_H18e zenon_H18f zenon_Hfc zenon_H91. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H49 | zenon_intro zenon_H94 ]. % 1.22/1.42 apply (zenon_L787_); trivial. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H8e | zenon_intro zenon_H92 ]. % 1.22/1.42 apply (zenon_L726_); trivial. % 1.22/1.42 exact (zenon_H91 zenon_H92). % 1.22/1.42 (* end of lemma zenon_L870_ *) % 1.22/1.42 assert (zenon_L871_ : ((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp8)\/(hskp9))) -> (~(hskp11)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c0_1 (a25)) -> (~(c3_1 (a25))) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> (c0_1 (a31)) -> (c2_1 (a31)) -> (~(hskp19)) -> (~(c2_1 (a8))) -> (c1_1 (a8)) -> (c0_1 (a8)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp8)) -> (~(hskp9)) -> False). % 1.22/1.42 do 0 intro. intros zenon_H41 zenon_H1a3 zenon_H91 zenon_Hfc zenon_H18f zenon_H18e zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_H3c zenon_H33 zenon_H144 zenon_H21f zenon_H220 zenon_H228 zenon_H14a zenon_H93 zenon_Hb zenon_H3. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H1a. zenon_intro zenon_H44. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H1d. zenon_intro zenon_H45. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H1e. zenon_intro zenon_H1f. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H1a4 ]. % 1.22/1.42 apply (zenon_L870_); trivial. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_Hc | zenon_intro zenon_H4 ]. % 1.22/1.42 exact (zenon_Hb zenon_Hc). % 1.22/1.42 exact (zenon_H3 zenon_H4). % 1.22/1.42 (* end of lemma zenon_L871_ *) % 1.22/1.42 assert (zenon_L872_ : ((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp8)\/(hskp9))) -> (~(hskp8)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> (~(c2_1 (a8))) -> (c1_1 (a8)) -> (c0_1 (a8)) -> (~(hskp19)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c2_1 (a31)) -> (c0_1 (a31)) -> (c0_1 (a25)) -> (~(c3_1 (a25))) -> (~(hskp11)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((hskp9)\/(hskp24))) -> (~(hskp9)) -> (c3_1 (a14)) -> (c0_1 (a14)) -> (~(c2_1 (a14))) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> False). % 1.22/1.42 do 0 intro. intros zenon_Ha1 zenon_H48 zenon_H1a3 zenon_Hb zenon_Hfc zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_H21f zenon_H220 zenon_H228 zenon_H144 zenon_H14a zenon_H33 zenon_H3c zenon_H18f zenon_H18e zenon_H91 zenon_H93 zenon_H7b zenon_H3 zenon_H121 zenon_H120 zenon_H11f zenon_Hd zenon_H1a9. % 1.22/1.42 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H1a. zenon_intro zenon_Ha2. % 1.22/1.42 apply (zenon_and_s _ _ zenon_Ha2). zenon_intro zenon_H4d. zenon_intro zenon_Ha3. % 1.22/1.42 apply (zenon_and_s _ _ zenon_Ha3). zenon_intro zenon_H4a. zenon_intro zenon_H4c. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H11 | zenon_intro zenon_H41 ]. % 1.22/1.42 apply (zenon_L127_); trivial. % 1.22/1.42 apply (zenon_L871_); trivial. % 1.22/1.42 (* end of lemma zenon_L872_ *) % 1.22/1.42 assert (zenon_L873_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(~(c3_1 (a25))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp8)\/(hskp9))) -> ((hskp17)\/((hskp8)\/(hskp4))) -> (~(hskp4)) -> (~(hskp8)) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> (c3_1 (a14)) -> (c0_1 (a14)) -> (~(c2_1 (a14))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> ((hskp24)\/((hskp23)\/(hskp0))) -> (~(hskp0)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> (~(c2_1 (a8))) -> (c1_1 (a8)) -> (c0_1 (a8)) -> (~(hskp9)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((hskp9)\/(hskp24))) -> (~(c3_1 (a18))) -> (c0_1 (a18)) -> (c2_1 (a18)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp11)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> False). % 1.22/1.42 do 0 intro. intros zenon_H1a2 zenon_H1e0 zenon_Hd3 zenon_H1a3 zenon_Hf zenon_Hd zenon_Hb zenon_H1da zenon_H9d zenon_H167 zenon_H149 zenon_H1c2 zenon_H1ee zenon_H121 zenon_H120 zenon_H11f zenon_H1a9 zenon_H17 zenon_H15 zenon_H42 zenon_H1c1 zenon_Hfc zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_H21f zenon_H220 zenon_H228 zenon_H3 zenon_H7b zenon_Hc1 zenon_He0 zenon_Hc2 zenon_H1c6 zenon_H14a zenon_H91 zenon_H93 zenon_H48 zenon_H17b zenon_H9c. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H146 | zenon_intro zenon_H19f ]. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.22/1.42 apply (zenon_L8_); trivial. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.22/1.42 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.22/1.42 apply (zenon_L822_); trivial. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H1a. zenon_intro zenon_H1d8. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1d0. zenon_intro zenon_H1d9. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1ce. zenon_intro zenon_H1cf. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H13 | zenon_intro zenon_Ha1 ]. % 1.22/1.42 apply (zenon_L776_); trivial. % 1.22/1.42 apply (zenon_L869_); trivial. % 1.22/1.42 apply (zenon_L153_); trivial. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H1a. zenon_intro zenon_H1a0. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H18f. zenon_intro zenon_H1a1. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H19a. zenon_intro zenon_H18e. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.22/1.42 apply (zenon_L8_); trivial. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.22/1.42 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H13 | zenon_intro zenon_Ha1 ]. % 1.22/1.42 apply (zenon_L776_); trivial. % 1.22/1.42 apply (zenon_L872_); trivial. % 1.22/1.42 apply (zenon_L159_); trivial. % 1.22/1.42 (* end of lemma zenon_L873_ *) % 1.22/1.42 assert (zenon_L874_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> (~(c2_1 (a16))) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> (~(hskp10)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(c2_1 (a8))) -> (c1_1 (a8)) -> (c0_1 (a8)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp11)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp0)) -> ((hskp24)\/((hskp23)\/(hskp0))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> (c3_1 (a14)) -> (c0_1 (a14)) -> (~(c2_1 (a14))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> (~(hskp8)) -> (~(hskp4)) -> ((hskp17)\/((hskp8)\/(hskp4))) -> False). % 1.22/1.42 do 0 intro. intros zenon_H9c zenon_H17b zenon_H95 zenon_H1c1 zenon_He9 zenon_Hea zenon_Heb zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_H1c6 zenon_Hfc zenon_H48 zenon_H42 zenon_H2d zenon_H43 zenon_H21f zenon_H220 zenon_H228 zenon_H14a zenon_H91 zenon_H93 zenon_H15 zenon_H17 zenon_H1ee zenon_H121 zenon_H120 zenon_H11f zenon_H1c2 zenon_H1a9 zenon_H167 zenon_H9d zenon_H1da zenon_Hb zenon_Hd zenon_Hf. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.22/1.42 apply (zenon_L8_); trivial. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.22/1.42 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.22/1.42 apply (zenon_L697_); trivial. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H1a. zenon_intro zenon_H1d8. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1d0. zenon_intro zenon_H1d9. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1ce. zenon_intro zenon_H1cf. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H13 | zenon_intro zenon_Ha1 ]. % 1.22/1.42 apply (zenon_L775_); trivial. % 1.22/1.42 apply (zenon_L736_); trivial. % 1.22/1.42 apply (zenon_L724_); trivial. % 1.22/1.42 (* end of lemma zenon_L874_ *) % 1.22/1.42 assert (zenon_L875_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> (~(c2_1 (a14))) -> (c0_1 (a14)) -> (c3_1 (a14)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((hskp24)\/((hskp23)\/(hskp0))) -> (~(hskp0)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp11)) -> (c2_1 (a18)) -> (c0_1 (a18)) -> (~(c3_1 (a18))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp19)) -> (c0_1 (a8)) -> (c1_1 (a8)) -> (~(c2_1 (a8))) -> (~(c1_1 (a31))) -> (~(hskp4)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c0_1 (a31)) -> (c2_1 (a31)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (~(c2_1 (a16))) -> (ndr1_0) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> False). % 1.22/1.42 do 0 intro. intros zenon_H1da zenon_H9d zenon_H167 zenon_H1a9 zenon_H1c2 zenon_H11f zenon_H120 zenon_H121 zenon_H1ee zenon_H17 zenon_H15 zenon_H93 zenon_H91 zenon_Hc2 zenon_He0 zenon_Hc1 zenon_H14a zenon_H144 zenon_H228 zenon_H220 zenon_H21f zenon_H32 zenon_Hd zenon_H42 zenon_H48 zenon_Hfc zenon_H3c zenon_H33 zenon_H1c6 zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_Heb zenon_Hea zenon_He9 zenon_H1a zenon_H1c1. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.22/1.42 apply (zenon_L697_); trivial. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H1a. zenon_intro zenon_H1d8. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1d0. zenon_intro zenon_H1d9. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1ce. zenon_intro zenon_H1cf. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H13 | zenon_intro zenon_Ha1 ]. % 1.22/1.42 apply (zenon_L776_); trivial. % 1.22/1.42 apply (zenon_L736_); trivial. % 1.22/1.42 (* end of lemma zenon_L875_ *) % 1.22/1.42 assert (zenon_L876_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> (~(c2_1 (a16))) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> (~(c2_1 (a8))) -> (c1_1 (a8)) -> (c0_1 (a8)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(c3_1 (a18))) -> (c0_1 (a18)) -> (c2_1 (a18)) -> (~(hskp11)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp0)) -> ((hskp24)\/((hskp23)\/(hskp0))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> (c3_1 (a14)) -> (c0_1 (a14)) -> (~(c2_1 (a14))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> (~(hskp8)) -> (~(hskp4)) -> ((hskp17)\/((hskp8)\/(hskp4))) -> False). % 1.22/1.42 do 0 intro. intros zenon_H9c zenon_H17b zenon_H1c1 zenon_He9 zenon_Hea zenon_Heb zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_H1c6 zenon_Hfc zenon_H48 zenon_H42 zenon_H21f zenon_H220 zenon_H228 zenon_H14a zenon_Hc1 zenon_He0 zenon_Hc2 zenon_H91 zenon_H93 zenon_H15 zenon_H17 zenon_H1ee zenon_H121 zenon_H120 zenon_H11f zenon_H1c2 zenon_H1a9 zenon_H167 zenon_H9d zenon_H1da zenon_Hb zenon_Hd zenon_Hf. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.22/1.42 apply (zenon_L8_); trivial. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.22/1.42 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.22/1.42 apply (zenon_L875_); trivial. % 1.22/1.42 apply (zenon_L153_); trivial. % 1.22/1.42 (* end of lemma zenon_L876_ *) % 1.22/1.42 assert (zenon_L877_ : ((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a11))/\((c1_1 (a11))/\(c3_1 (a11)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp27)\/(hskp26))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> (c2_1 (a18)) -> (c0_1 (a18)) -> (~(c3_1 (a18))) -> (~(c1_1 (a19))) -> (~(c3_1 (a19))) -> (c2_1 (a19)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> False). % 1.22/1.42 do 0 intro. intros zenon_H176 zenon_H1da zenon_H167 zenon_H1f0 zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_H97 zenon_H1ee zenon_H1c2 zenon_H1f2 zenon_H95 zenon_H1c6 zenon_Hc2 zenon_He0 zenon_Hc1 zenon_Hae zenon_Haf zenon_Hb0 zenon_Hd3 zenon_H1c1. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1a. zenon_intro zenon_H178. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H16a. zenon_intro zenon_H179. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H171. zenon_intro zenon_H168. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.22/1.42 apply (zenon_L279_); trivial. % 1.22/1.42 apply (zenon_L754_); trivial. % 1.22/1.42 (* end of lemma zenon_L877_ *) % 1.22/1.42 assert (zenon_L878_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a11))/\((c1_1 (a11))/\(c3_1 (a11)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp27)\/(hskp26))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (c2_1 (a18)) -> (c0_1 (a18)) -> (~(c3_1 (a18))) -> (~(c1_1 (a19))) -> (~(c3_1 (a19))) -> (c2_1 (a19)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> (~(c2_1 (a16))) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> (~(hskp4)) -> (~(hskp0)) -> ((hskp24)\/((hskp23)\/(hskp0))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> (c3_1 (a14)) -> (c0_1 (a14)) -> (~(c2_1 (a14))) -> (ndr1_0) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> (~(hskp1)) -> ((hskp25)\/((hskp17)\/(hskp21))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp15)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> False). % 1.22/1.42 do 0 intro. intros zenon_H9c zenon_H1f0 zenon_H97 zenon_H1f2 zenon_H95 zenon_Hc2 zenon_He0 zenon_Hc1 zenon_Hae zenon_Haf zenon_Hb0 zenon_Hd3 zenon_H1c1 zenon_He9 zenon_Hea zenon_Heb zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_H1c6 zenon_Hfc zenon_H48 zenon_H42 zenon_Hd zenon_H15 zenon_H17 zenon_H1ee zenon_H1c2 zenon_H1a9 zenon_H9d zenon_H1da zenon_H12a zenon_H121 zenon_H120 zenon_H11f zenon_H1a zenon_H166 zenon_H162 zenon_Hde zenon_H130 zenon_H14a zenon_H146 zenon_H149 zenon_H167 zenon_H177 zenon_H17b zenon_H17a. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.22/1.42 apply (zenon_L94_); trivial. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.22/1.42 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.22/1.42 apply (zenon_L737_); trivial. % 1.22/1.42 apply (zenon_L877_); trivial. % 1.22/1.42 (* end of lemma zenon_L878_ *) % 1.22/1.42 assert (zenon_L879_ : ((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a11))/\((c1_1 (a11))/\(c3_1 (a11)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp27)\/(hskp26))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> (c2_1 (a19)) -> (~(c1_1 (a19))) -> (~(c3_1 (a19))) -> (~(c3_1 (a25))) -> (c0_1 (a25)) -> (c1_1 (a25)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp24))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> False). % 1.22/1.42 do 0 intro. intros zenon_H176 zenon_H1da zenon_H167 zenon_H1f0 zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_H97 zenon_H1ee zenon_H1c2 zenon_H1f2 zenon_H95 zenon_H1c1 zenon_Hd3 zenon_H1c6 zenon_Hb0 zenon_Hae zenon_Haf zenon_H18e zenon_H18f zenon_H19a zenon_H1f8 zenon_H177 zenon_H48. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1a. zenon_intro zenon_H178. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H16a. zenon_intro zenon_H179. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H171. zenon_intro zenon_H168. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.22/1.42 apply (zenon_L661_); trivial. % 1.22/1.42 apply (zenon_L754_); trivial. % 1.22/1.42 (* end of lemma zenon_L879_ *) % 1.22/1.42 assert (zenon_L880_ : ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp10)) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> (~(hskp4)) -> ((hskp24)\/((hskp23)\/(hskp0))) -> (~(hskp0)) -> ((hskp25)\/((hskp17)\/(hskp21))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp11)) -> (c0_1 (a15)) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(hskp15)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c0_1 (a8)) -> (c1_1 (a8)) -> (~(c2_1 (a8))) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> (~(hskp1)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> (ndr1_0) -> (~(c2_1 (a14))) -> (c0_1 (a14)) -> (c3_1 (a14)) -> (~(hskp17)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> False). % 1.22/1.42 do 0 intro. intros zenon_H17a zenon_H17b zenon_H43 zenon_H2d zenon_H9d zenon_H1a9 zenon_Hd zenon_H17 zenon_H15 zenon_H130 zenon_H93 zenon_H91 zenon_H117 zenon_H115 zenon_H116 zenon_H146 zenon_H149 zenon_H14a zenon_H228 zenon_H220 zenon_H21f zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_Hfc zenon_H177 zenon_H167 zenon_H48 zenon_Hde zenon_H162 zenon_H166 zenon_H1a zenon_H11f zenon_H120 zenon_H121 zenon_H9 zenon_H12a. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H128 | zenon_intro zenon_H17c ]. % 1.22/1.42 apply (zenon_L78_); trivial. % 1.22/1.42 apply (zenon_L792_); trivial. % 1.22/1.42 (* end of lemma zenon_L880_ *) % 1.22/1.42 assert (zenon_L881_ : ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> (~(hskp4)) -> (c0_1 (a15)) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> ((hskp24)\/((hskp23)\/(hskp0))) -> (~(hskp0)) -> ((hskp25)\/((hskp17)\/(hskp21))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp11)) -> (~(c3_1 (a25))) -> (c0_1 (a25)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c0_1 (a8)) -> (c1_1 (a8)) -> (~(c2_1 (a8))) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> (~(hskp1)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> (ndr1_0) -> (~(c2_1 (a14))) -> (c0_1 (a14)) -> (c3_1 (a14)) -> (~(hskp17)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> False). % 1.22/1.42 do 0 intro. intros zenon_H17a zenon_H17b zenon_H9d zenon_H1a9 zenon_Hd zenon_H117 zenon_H116 zenon_H115 zenon_H17 zenon_H15 zenon_H130 zenon_H93 zenon_H91 zenon_H18e zenon_H18f zenon_H14a zenon_H228 zenon_H220 zenon_H21f zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_Hfc zenon_H177 zenon_H167 zenon_H48 zenon_Hde zenon_H162 zenon_H166 zenon_H1a zenon_H11f zenon_H120 zenon_H121 zenon_H9 zenon_H12a. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H128 | zenon_intro zenon_H17c ]. % 1.22/1.42 apply (zenon_L78_); trivial. % 1.22/1.42 apply (zenon_L811_); trivial. % 1.22/1.42 (* end of lemma zenon_L881_ *) % 1.22/1.42 assert (zenon_L882_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(~(c3_1 (a25))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp10)) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> (~(hskp4)) -> ((hskp24)\/((hskp23)\/(hskp0))) -> (~(hskp0)) -> ((hskp25)\/((hskp17)\/(hskp21))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp11)) -> (c0_1 (a15)) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c0_1 (a8)) -> (c1_1 (a8)) -> (~(c2_1 (a8))) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> (~(hskp1)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> (ndr1_0) -> (~(c2_1 (a14))) -> (c0_1 (a14)) -> (c3_1 (a14)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> False). % 1.22/1.42 do 0 intro. intros zenon_H1a2 zenon_H17a zenon_H17b zenon_H43 zenon_H2d zenon_H9d zenon_H1a9 zenon_Hd zenon_H17 zenon_H15 zenon_H130 zenon_H93 zenon_H91 zenon_H117 zenon_H115 zenon_H116 zenon_H149 zenon_H14a zenon_H228 zenon_H220 zenon_H21f zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_Hfc zenon_H177 zenon_H167 zenon_H48 zenon_Hde zenon_H162 zenon_H166 zenon_H1a zenon_H11f zenon_H120 zenon_H121 zenon_H12a zenon_H42 zenon_H95 zenon_H9c. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H146 | zenon_intro zenon_H19f ]. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.22/1.42 apply (zenon_L880_); trivial. % 1.22/1.42 apply (zenon_L794_); trivial. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H1a. zenon_intro zenon_H1a0. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H18f. zenon_intro zenon_H1a1. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H19a. zenon_intro zenon_H18e. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.22/1.42 apply (zenon_L881_); trivial. % 1.22/1.42 apply (zenon_L815_); trivial. % 1.22/1.42 (* end of lemma zenon_L882_ *) % 1.22/1.42 assert (zenon_L883_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((hskp9)\/(hskp24))) -> (~(hskp24)) -> (~(hskp9)) -> (c0_1 (a8)) -> (c1_1 (a8)) -> (~(c2_1 (a8))) -> (ndr1_0) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> (~(hskp20)) -> (c2_1 (a31)) -> (c0_1 (a31)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> False). % 1.22/1.42 do 0 intro. intros zenon_H1c1 zenon_H7b zenon_H11 zenon_H3 zenon_H228 zenon_H220 zenon_H21f zenon_H1a zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_H1c6 zenon_H1c4 zenon_H33 zenon_H3c zenon_Hfc. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1be ]. % 1.22/1.42 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfd ]. % 1.22/1.42 apply (zenon_L765_); trivial. % 1.22/1.42 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hf3 | zenon_intro zenon_Hcd ]. % 1.22/1.42 apply (zenon_L687_); trivial. % 1.22/1.42 apply (zenon_L378_); trivial. % 1.22/1.42 apply (zenon_L818_); trivial. % 1.22/1.42 (* end of lemma zenon_L883_ *) % 1.22/1.42 assert (zenon_L884_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> (c2_1 (a19)) -> (~(c1_1 (a19))) -> (~(c3_1 (a19))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c0_1 (a31)) -> (c2_1 (a31)) -> (~(hskp20)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> (ndr1_0) -> (~(c2_1 (a8))) -> (c1_1 (a8)) -> (c0_1 (a8)) -> (~(hskp9)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((hskp9)\/(hskp24))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> False). % 1.22/1.42 do 0 intro. intros zenon_H48 zenon_Hb0 zenon_Hae zenon_Haf zenon_Hd3 zenon_H177 zenon_Hfc zenon_H3c zenon_H33 zenon_H1c4 zenon_H1c6 zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_H1a zenon_H21f zenon_H220 zenon_H228 zenon_H3 zenon_H7b zenon_H1c1. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H11 | zenon_intro zenon_H41 ]. % 1.22/1.42 apply (zenon_L883_); trivial. % 1.22/1.42 apply (zenon_L282_); trivial. % 1.22/1.42 (* end of lemma zenon_L884_ *) % 1.22/1.42 assert (zenon_L885_ : ((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> (c0_1 (a15)) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> ((hskp24)\/((hskp23)\/(hskp0))) -> (~(hskp0)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a11))/\((c1_1 (a11))/\(c3_1 (a11)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp27)\/(hskp26))) -> (~(c3_1 (a18))) -> (c2_1 (a18)) -> (~(hskp5)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp5))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((hskp9)\/(hskp24))) -> (~(hskp9)) -> (c0_1 (a8)) -> (c1_1 (a8)) -> (~(c2_1 (a8))) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(c3_1 (a19))) -> (~(c1_1 (a19))) -> (c2_1 (a19)) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> False). % 1.22/1.42 do 0 intro. intros zenon_H9e zenon_H1da zenon_H9d zenon_H1a9 zenon_H117 zenon_H116 zenon_H115 zenon_H17 zenon_H15 zenon_H42 zenon_Hd zenon_H1c2 zenon_H97 zenon_H1ee zenon_H1f0 zenon_H1f2 zenon_Hc1 zenon_Hc2 zenon_Hd4 zenon_Hdc zenon_H167 zenon_H1c1 zenon_H7b zenon_H3 zenon_H228 zenon_H220 zenon_H21f zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_H1c6 zenon_Hfc zenon_H177 zenon_Hd3 zenon_Haf zenon_Hae zenon_Hb0 zenon_H48. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.22/1.42 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.22/1.42 apply (zenon_L884_); trivial. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H1a. zenon_intro zenon_H1d8. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1d0. zenon_intro zenon_H1d9. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1ce. zenon_intro zenon_H1cf. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H13 | zenon_intro zenon_Ha1 ]. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H11 | zenon_intro zenon_H41 ]. % 1.22/1.42 apply (zenon_L12_); trivial. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H1a. zenon_intro zenon_H44. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H1d. zenon_intro zenon_H45. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H1e. zenon_intro zenon_H1f. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H12c | zenon_intro zenon_H148 ]. % 1.22/1.42 apply (zenon_L135_); trivial. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H1a. zenon_intro zenon_H14b. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H13b. zenon_intro zenon_H14c. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H14c). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1be ]. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H98 ]. % 1.22/1.42 apply (zenon_L709_); trivial. % 1.22/1.42 apply (zenon_L753_); trivial. % 1.22/1.42 apply (zenon_L134_); trivial. % 1.22/1.42 apply (zenon_L511_); trivial. % 1.22/1.42 (* end of lemma zenon_L885_ *) % 1.22/1.42 assert (zenon_L886_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> (~(c2_1 (a16))) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(c3_1 (a32))) -> (~(c1_1 (a32))) -> (~(c0_1 (a32))) -> (~(hskp23)) -> (~(hskp0)) -> ((hskp24)\/((hskp23)\/(hskp0))) -> False). % 1.22/1.42 do 0 intro. intros zenon_H48 zenon_H177 zenon_He9 zenon_Hea zenon_Heb zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_Hfc zenon_H151 zenon_H150 zenon_H14f zenon_H13 zenon_H15 zenon_H17. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H11 | zenon_intro zenon_H41 ]. % 1.22/1.42 apply (zenon_L12_); trivial. % 1.22/1.42 apply (zenon_L738_); trivial. % 1.22/1.42 (* end of lemma zenon_L886_ *) % 1.22/1.42 assert (zenon_L887_ : ((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32)))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> (~(hskp4)) -> (c0_1 (a15)) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> ((hskp24)\/((hskp23)\/(hskp0))) -> (~(hskp0)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (~(c2_1 (a16))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> False). % 1.22/1.42 do 0 intro. intros zenon_H17c zenon_H9d zenon_H1a9 zenon_Hd zenon_H117 zenon_H116 zenon_H115 zenon_H17 zenon_H15 zenon_Hfc zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_Heb zenon_Hea zenon_He9 zenon_H177 zenon_H48. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H17c). zenon_intro zenon_H1a. zenon_intro zenon_H17d. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H14f. zenon_intro zenon_H17e. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_H150. zenon_intro zenon_H151. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H13 | zenon_intro zenon_Ha1 ]. % 1.22/1.42 apply (zenon_L886_); trivial. % 1.22/1.42 apply (zenon_L511_); trivial. % 1.22/1.42 (* end of lemma zenon_L887_ *) % 1.22/1.42 assert (zenon_L888_ : ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> (~(hskp4)) -> (c0_1 (a15)) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> ((hskp24)\/((hskp23)\/(hskp0))) -> (~(hskp0)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (~(c2_1 (a16))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> (ndr1_0) -> (~(c2_1 (a14))) -> (c0_1 (a14)) -> (c3_1 (a14)) -> (~(hskp17)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> False). % 1.22/1.42 do 0 intro. intros zenon_H17a zenon_H9d zenon_H1a9 zenon_Hd zenon_H117 zenon_H116 zenon_H115 zenon_H17 zenon_H15 zenon_Hfc zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_Heb zenon_Hea zenon_He9 zenon_H177 zenon_H48 zenon_H1a zenon_H11f zenon_H120 zenon_H121 zenon_H9 zenon_H12a. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H128 | zenon_intro zenon_H17c ]. % 1.22/1.42 apply (zenon_L78_); trivial. % 1.22/1.42 apply (zenon_L887_); trivial. % 1.22/1.42 (* end of lemma zenon_L888_ *) % 1.22/1.42 assert (zenon_L889_ : ((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/(hskp13))) -> (c0_1 (a15)) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c0_1 (a8)) -> (c1_1 (a8)) -> (~(c2_1 (a8))) -> (~(hskp19)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(hskp13)) -> False). % 1.22/1.42 do 0 intro. intros zenon_H1be zenon_H247 zenon_H117 zenon_H116 zenon_H115 zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_H14a zenon_H228 zenon_H220 zenon_H21f zenon_H144 zenon_Hfc zenon_H5. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H1a. zenon_intro zenon_H1bf. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H1bf). zenon_intro zenon_H1b5. zenon_intro zenon_H1c0. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H1c0). zenon_intro zenon_H1b6. zenon_intro zenon_H1b7. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H247); [ zenon_intro zenon_Hf2 | zenon_intro zenon_H248 ]. % 1.22/1.42 apply (zenon_L73_); trivial. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H248); [ zenon_intro zenon_H243 | zenon_intro zenon_H6 ]. % 1.22/1.42 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfd ]. % 1.22/1.42 apply (zenon_L591_); trivial. % 1.22/1.42 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hf3 | zenon_intro zenon_Hcd ]. % 1.22/1.42 apply (zenon_L687_); trivial. % 1.22/1.42 apply (zenon_L133_); trivial. % 1.22/1.42 exact (zenon_H5 zenon_H6). % 1.22/1.42 (* end of lemma zenon_L889_ *) % 1.22/1.42 assert (zenon_L890_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> (~(hskp4)) -> (~(c2_1 (a14))) -> (c0_1 (a14)) -> (c3_1 (a14)) -> ((hskp24)\/((hskp23)\/(hskp0))) -> (~(hskp0)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp27)\/(hskp26))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> (~(c1_1 (a31))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a11))/\((c1_1 (a11))/\(c3_1 (a11)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(c1_1 (a19))) -> (~(c3_1 (a19))) -> (c2_1 (a19)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (c0_1 (a15)) -> (~(c2_1 (a8))) -> (c1_1 (a8)) -> (c0_1 (a8)) -> (~(hskp19)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp13)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/(hskp13))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c0_1 (a31)) -> (c2_1 (a31)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (~(c2_1 (a16))) -> (ndr1_0) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> False). % 1.22/1.42 do 0 intro. intros zenon_H1da zenon_H9d zenon_H1a9 zenon_Hd zenon_H11f zenon_H120 zenon_H121 zenon_H17 zenon_H15 zenon_H1f2 zenon_H1c2 zenon_H32 zenon_H1ee zenon_H97 zenon_Hd3 zenon_Hae zenon_Haf zenon_Hb0 zenon_H1f0 zenon_H115 zenon_H116 zenon_H117 zenon_H21f zenon_H220 zenon_H228 zenon_H144 zenon_H14a zenon_H5 zenon_H247 zenon_H167 zenon_H48 zenon_Hfc zenon_H3c zenon_H33 zenon_H1c6 zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_Heb zenon_Hea zenon_He9 zenon_H1a zenon_H1c1. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.22/1.42 apply (zenon_L697_); trivial. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H1a. zenon_intro zenon_H1d8. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1d0. zenon_intro zenon_H1d9. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1ce. zenon_intro zenon_H1cf. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H13 | zenon_intro zenon_Ha1 ]. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H11 | zenon_intro zenon_H41 ]. % 1.22/1.42 apply (zenon_L12_); trivial. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H1a. zenon_intro zenon_H44. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H1d. zenon_intro zenon_H45. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H1e. zenon_intro zenon_H1f. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H12c | zenon_intro zenon_H148 ]. % 1.22/1.42 apply (zenon_L702_); trivial. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H1a. zenon_intro zenon_H14b. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H13b. zenon_intro zenon_H14c. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H14c). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1be ]. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H98 ]. % 1.22/1.42 apply (zenon_L699_); trivial. % 1.22/1.42 apply (zenon_L753_); trivial. % 1.22/1.42 apply (zenon_L889_); trivial. % 1.22/1.42 apply (zenon_L736_); trivial. % 1.22/1.42 (* end of lemma zenon_L890_ *) % 1.22/1.42 assert (zenon_L891_ : ((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a11))/\((c1_1 (a11))/\(c3_1 (a11)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp27)\/(hskp26))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp10)) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (c0_1 (a15)) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> (~(c3_1 (a19))) -> (~(c1_1 (a19))) -> (c2_1 (a19)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> False). % 1.22/1.42 do 0 intro. intros zenon_H176 zenon_H1da zenon_H167 zenon_H1f0 zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_H97 zenon_H1ee zenon_H1c2 zenon_H1f2 zenon_H95 zenon_H177 zenon_H43 zenon_H2d zenon_H115 zenon_H116 zenon_H117 zenon_Hd zenon_H1a9 zenon_Haf zenon_Hae zenon_Hb0 zenon_H1c6 zenon_Hd3 zenon_H1c1. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1a. zenon_intro zenon_H178. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H16a. zenon_intro zenon_H179. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H171. zenon_intro zenon_H168. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.22/1.42 apply (zenon_L567_); trivial. % 1.22/1.42 apply (zenon_L754_); trivial. % 1.22/1.42 (* end of lemma zenon_L891_ *) % 1.22/1.42 assert (zenon_L892_ : ((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp27)\/(hskp26))) -> (~(c2_1 (a16))) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(c0_1 (a22))) -> (~(c2_1 (a22))) -> (~(c3_1 (a22))) -> (c2_1 (a31)) -> (c0_1 (a31)) -> (~(c1_1 (a31))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a11))/\((c1_1 (a11))/\(c3_1 (a11)))))) -> False). % 1.22/1.42 do 0 intro. intros zenon_H41 zenon_H1c1 zenon_H1f2 zenon_He9 zenon_Hea zenon_Heb zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_Hfc zenon_H80 zenon_H89 zenon_H81 zenon_H33 zenon_H3c zenon_H32 zenon_H1ee zenon_H97. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H1a. zenon_intro zenon_H44. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H1d. zenon_intro zenon_H45. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H1e. zenon_intro zenon_H1f. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1be ]. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H98 ]. % 1.22/1.42 apply (zenon_L699_); trivial. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H98). zenon_intro zenon_H1a. zenon_intro zenon_H99. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H99). zenon_intro zenon_H9b. zenon_intro zenon_H9a. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H9a). zenon_intro zenon_H6f. zenon_intro zenon_H70. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H1ee); [ zenon_intro zenon_H1e7 | zenon_intro zenon_H1ef ]. % 1.22/1.42 apply (zenon_L221_); trivial. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H3b | zenon_intro zenon_H6d ]. % 1.22/1.42 apply (zenon_L700_); trivial. % 1.22/1.42 apply (zenon_L701_); trivial. % 1.22/1.42 apply (zenon_L696_); trivial. % 1.22/1.42 (* end of lemma zenon_L892_ *) % 1.22/1.42 assert (zenon_L893_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp27)\/(hskp26))) -> (~(c2_1 (a16))) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(c0_1 (a22))) -> (~(c2_1 (a22))) -> (~(c3_1 (a22))) -> (c2_1 (a31)) -> (c0_1 (a31)) -> (~(c1_1 (a31))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a11))/\((c1_1 (a11))/\(c3_1 (a11)))))) -> (~(hskp23)) -> (~(hskp0)) -> ((hskp24)\/((hskp23)\/(hskp0))) -> False). % 1.22/1.42 do 0 intro. intros zenon_H48 zenon_H1c1 zenon_H1f2 zenon_He9 zenon_Hea zenon_Heb zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_Hfc zenon_H80 zenon_H89 zenon_H81 zenon_H33 zenon_H3c zenon_H32 zenon_H1ee zenon_H97 zenon_H13 zenon_H15 zenon_H17. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H11 | zenon_intro zenon_H41 ]. % 1.22/1.42 apply (zenon_L12_); trivial. % 1.22/1.42 apply (zenon_L892_); trivial. % 1.22/1.42 (* end of lemma zenon_L893_ *) % 1.22/1.42 assert (zenon_L894_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> (~(hskp19)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> (~(c2_1 (a14))) -> (c0_1 (a14)) -> (c3_1 (a14)) -> ((hskp24)\/((hskp23)\/(hskp0))) -> (~(hskp0)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a11))/\((c1_1 (a11))/\(c3_1 (a11)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> (~(c1_1 (a31))) -> (~(c3_1 (a22))) -> (~(c2_1 (a22))) -> (~(c0_1 (a22))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp27)\/(hskp26))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c0_1 (a31)) -> (c2_1 (a31)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (~(c2_1 (a16))) -> (ndr1_0) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> False). % 1.22/1.42 do 0 intro. intros zenon_H1da zenon_H9d zenon_H167 zenon_H144 zenon_H14a zenon_H1a9 zenon_Hd zenon_H1c2 zenon_H11f zenon_H120 zenon_H121 zenon_H17 zenon_H15 zenon_H97 zenon_H1ee zenon_H32 zenon_H81 zenon_H89 zenon_H80 zenon_H1f2 zenon_H48 zenon_Hfc zenon_H3c zenon_H33 zenon_H1c6 zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_Heb zenon_Hea zenon_He9 zenon_H1a zenon_H1c1. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.22/1.42 apply (zenon_L697_); trivial. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H1a. zenon_intro zenon_H1d8. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1d0. zenon_intro zenon_H1d9. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1ce. zenon_intro zenon_H1cf. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H13 | zenon_intro zenon_Ha1 ]. % 1.22/1.42 apply (zenon_L893_); trivial. % 1.22/1.42 apply (zenon_L736_); trivial. % 1.22/1.42 (* end of lemma zenon_L894_ *) % 1.22/1.42 assert (zenon_L895_ : ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> ((hskp25)\/((hskp17)\/(hskp21))) -> (~(hskp17)) -> (~(hskp6)) -> (~(hskp10)) -> ((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp6)\/(hskp10))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> False). % 1.22/1.42 do 0 intro. intros zenon_H166 zenon_H43 zenon_H235 zenon_H234 zenon_H233 zenon_H130 zenon_H9 zenon_H2b zenon_H2d zenon_H2f zenon_H167. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H12e | zenon_intro zenon_H161 ]. % 1.22/1.42 apply (zenon_L507_); trivial. % 1.22/1.42 apply (zenon_L461_); trivial. % 1.22/1.42 (* end of lemma zenon_L895_ *) % 1.22/1.42 assert (zenon_L896_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp6)\/(hskp10))) -> (~(hskp10)) -> (~(hskp6)) -> ((hskp25)\/((hskp17)\/(hskp21))) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> False). % 1.22/1.42 do 0 intro. intros zenon_H9c zenon_H42 zenon_Hd zenon_H167 zenon_H2f zenon_H2d zenon_H2b zenon_H130 zenon_H233 zenon_H234 zenon_H235 zenon_H43 zenon_H166. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.22/1.42 apply (zenon_L895_); trivial. % 1.22/1.42 apply (zenon_L244_); trivial. % 1.22/1.42 (* end of lemma zenon_L896_ *) % 1.22/1.42 assert (zenon_L897_ : ((~(hskp10))\/((ndr1_0)/\((c0_1 (a18))/\((c2_1 (a18))/\(~(c3_1 (a18))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a19))/\((~(c1_1 (a19)))/\(~(c3_1 (a19))))))) -> ((hskp17)\/((hskp8)\/(hskp4))) -> (~(hskp8)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(hskp7)) -> (~(hskp7)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> ((hskp25)\/((hskp17)\/(hskp21))) -> (~(hskp6)) -> ((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp6)\/(hskp10))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> (~(hskp4)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> False). % 1.22/1.42 do 0 intro. intros zenon_H212 zenon_H213 zenon_Hf zenon_Hb zenon_H93 zenon_H14a zenon_Hb7 zenon_H1 zenon_Hd3 zenon_H17b zenon_H166 zenon_H43 zenon_H235 zenon_H234 zenon_H233 zenon_H130 zenon_H2b zenon_H2f zenon_H167 zenon_Hd zenon_H42 zenon_H9c. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H2d | zenon_intro zenon_H217 ]. % 1.22/1.42 apply (zenon_L896_); trivial. % 1.22/1.42 apply (zenon_L250_); trivial. % 1.22/1.42 (* end of lemma zenon_L897_ *) % 1.22/1.42 assert (zenon_L898_ : ((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp19)) -> (~(c3_1 (a18))) -> (c2_1 (a18)) -> (c0_1 (a18)) -> (c1_1 (a7)) -> (c3_1 (a7)) -> (~(c0_1 (a7))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> (~(c3_1 (a25))) -> (c0_1 (a25)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(hskp11)) -> False). % 1.22/1.42 do 0 intro. intros zenon_H1be zenon_H93 zenon_H14a zenon_H144 zenon_Hc1 zenon_Hc2 zenon_He0 zenon_H234 zenon_H235 zenon_H233 zenon_Hd3 zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_H18e zenon_H18f zenon_Hfc zenon_H91. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H1a. zenon_intro zenon_H1bf. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H1bf). zenon_intro zenon_H1b5. zenon_intro zenon_H1c0. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H1c0). zenon_intro zenon_H1b6. zenon_intro zenon_H1b7. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H49 | zenon_intro zenon_H94 ]. % 1.22/1.42 apply (zenon_L254_); trivial. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H8e | zenon_intro zenon_H92 ]. % 1.22/1.42 apply (zenon_L801_); trivial. % 1.22/1.42 exact (zenon_H91 zenon_H92). % 1.22/1.42 (* end of lemma zenon_L898_ *) % 1.22/1.42 assert (zenon_L899_ : ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp19)) -> (~(c3_1 (a18))) -> (c2_1 (a18)) -> (c0_1 (a18)) -> (c1_1 (a7)) -> (c3_1 (a7)) -> (~(c0_1 (a7))) -> (forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1)))))) -> (c1_1 (a3)) -> (c2_1 (a3)) -> (c3_1 (a3)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (c2_1 (a9)) -> (c0_1 (a9)) -> (ndr1_0) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> (~(c3_1 (a25))) -> (c0_1 (a25)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(hskp11)) -> False). % 1.22/1.42 do 0 intro. intros zenon_H93 zenon_H14a zenon_H144 zenon_Hc1 zenon_Hc2 zenon_He0 zenon_H234 zenon_H235 zenon_H233 zenon_Hd6 zenon_H1d zenon_H1e zenon_H1f zenon_Hd3 zenon_H13d zenon_H13b zenon_H1a zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_H18e zenon_H18f zenon_Hfc zenon_H91. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H49 | zenon_intro zenon_H94 ]. % 1.22/1.42 apply (zenon_L258_); trivial. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H8e | zenon_intro zenon_H92 ]. % 1.22/1.42 apply (zenon_L795_); trivial. % 1.22/1.42 exact (zenon_H91 zenon_H92). % 1.22/1.42 (* end of lemma zenon_L899_ *) % 1.22/1.42 assert (zenon_L900_ : ((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp27)\/(hskp26))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (c3_1 (a3)) -> (c2_1 (a3)) -> (c1_1 (a3)) -> (~(c0_1 (a7))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (c0_1 (a18)) -> (c2_1 (a18)) -> (~(c3_1 (a18))) -> (~(hskp19)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> (c0_1 (a25)) -> (~(c3_1 (a25))) -> (~(hskp11)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp4)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a11))/\((c1_1 (a11))/\(c3_1 (a11)))))) -> False). % 1.22/1.42 do 0 intro. intros zenon_H148 zenon_H1c1 zenon_H1f2 zenon_Hd3 zenon_H1f zenon_H1e zenon_H1d zenon_H233 zenon_H235 zenon_H234 zenon_He0 zenon_Hc2 zenon_Hc1 zenon_H144 zenon_H14a zenon_Hfc zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_H18f zenon_H18e zenon_H91 zenon_H93 zenon_Hd zenon_H42 zenon_H97. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H1a. zenon_intro zenon_H14b. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H13b. zenon_intro zenon_H14c. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H14c). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1be ]. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H98 ]. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H1f3 ]. % 1.22/1.42 apply (zenon_L899_); trivial. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H5a | zenon_intro zenon_H1b4 ]. % 1.22/1.42 exact (zenon_H59 zenon_H5a). % 1.22/1.42 exact (zenon_H1b3 zenon_H1b4). % 1.22/1.42 apply (zenon_L264_); trivial. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H1a. zenon_intro zenon_H1bf. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H1bf). zenon_intro zenon_H1b5. zenon_intro zenon_H1c0. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H1c0). zenon_intro zenon_H1b6. zenon_intro zenon_H1b7. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H49 | zenon_intro zenon_H94 ]. % 1.22/1.42 apply (zenon_L254_); trivial. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H8e | zenon_intro zenon_H92 ]. % 1.22/1.42 apply (zenon_L795_); trivial. % 1.22/1.42 exact (zenon_H91 zenon_H92). % 1.22/1.42 (* end of lemma zenon_L900_ *) % 1.22/1.42 assert (zenon_L901_ : ((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(c3_1 (a25))) -> (c0_1 (a25)) -> (c1_1 (a25)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(hskp11)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> (~(c3_1 (a18))) -> (c0_1 (a18)) -> (c2_1 (a18)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a11))/\((c1_1 (a11))/\(c3_1 (a11)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp27)\/(hskp26))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> (~(hskp0)) -> ((hskp24)\/((hskp23)\/(hskp0))) -> (c3_1 (a14)) -> (c0_1 (a14)) -> (~(c2_1 (a14))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> False). % 1.22/1.42 do 0 intro. intros zenon_H9e zenon_H17b zenon_H1c1 zenon_H42 zenon_Hd zenon_Hd3 zenon_H14a zenon_H18e zenon_H18f zenon_H19a zenon_Hfc zenon_H91 zenon_H93 zenon_H235 zenon_H234 zenon_H233 zenon_Hc1 zenon_He0 zenon_Hc2 zenon_H1c6 zenon_H48 zenon_H167 zenon_H97 zenon_H1c2 zenon_H1f2 zenon_H1ee zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_H15 zenon_H17 zenon_H121 zenon_H120 zenon_H11f zenon_H1a9 zenon_H9d zenon_H1da. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.22/1.42 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.22/1.42 apply (zenon_L257_); trivial. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H1a. zenon_intro zenon_H1d8. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1d0. zenon_intro zenon_H1d9. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1ce. zenon_intro zenon_H1cf. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H13 | zenon_intro zenon_Ha1 ]. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H11 | zenon_intro zenon_H41 ]. % 1.22/1.42 apply (zenon_L12_); trivial. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H1a. zenon_intro zenon_H44. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H1d. zenon_intro zenon_H45. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H1e. zenon_intro zenon_H1f. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H12c | zenon_intro zenon_H148 ]. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1be ]. % 1.22/1.42 apply (zenon_L265_); trivial. % 1.22/1.42 apply (zenon_L898_); trivial. % 1.22/1.42 apply (zenon_L900_); trivial. % 1.22/1.42 apply (zenon_L275_); trivial. % 1.22/1.42 apply (zenon_L814_); trivial. % 1.22/1.42 (* end of lemma zenon_L901_ *) % 1.22/1.42 assert (zenon_L902_ : ((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(~(c3_1 (a25)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(hskp11)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> (~(c3_1 (a18))) -> (c0_1 (a18)) -> (c2_1 (a18)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a11))/\((c1_1 (a11))/\(c3_1 (a11)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp27)\/(hskp26))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> (~(hskp0)) -> ((hskp24)\/((hskp23)\/(hskp0))) -> (c3_1 (a14)) -> (c0_1 (a14)) -> (~(c2_1 (a14))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> (~(hskp8)) -> (~(hskp4)) -> ((hskp17)\/((hskp8)\/(hskp4))) -> False). % 1.22/1.42 do 0 intro. intros zenon_H19f zenon_H9c zenon_H17b zenon_H1c1 zenon_H42 zenon_Hd3 zenon_H14a zenon_Hfc zenon_H91 zenon_H93 zenon_H235 zenon_H234 zenon_H233 zenon_Hc1 zenon_He0 zenon_Hc2 zenon_H1c6 zenon_H48 zenon_H167 zenon_H97 zenon_H1c2 zenon_H1f2 zenon_H1ee zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_H15 zenon_H17 zenon_H121 zenon_H120 zenon_H11f zenon_H1a9 zenon_H9d zenon_H1da zenon_Hb zenon_Hd zenon_Hf. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H1a. zenon_intro zenon_H1a0. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H18f. zenon_intro zenon_H1a1. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H19a. zenon_intro zenon_H18e. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.22/1.42 apply (zenon_L8_); trivial. % 1.22/1.42 apply (zenon_L901_); trivial. % 1.22/1.42 (* end of lemma zenon_L902_ *) % 1.22/1.42 assert (zenon_L903_ : ((~(hskp23))\/((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> (c2_1 (a31)) -> (c0_1 (a31)) -> (~(c1_1 (a31))) -> (~(c2_1 (a14))) -> (c0_1 (a14)) -> (c3_1 (a14)) -> (c0_1 (a18)) -> (c2_1 (a18)) -> (~(c3_1 (a18))) -> (~(hskp19)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((hskp24)\/((hskp23)\/(hskp0))) -> (~(hskp0)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> (~(hskp4)) -> (~(c1_1 (a19))) -> (~(c3_1 (a19))) -> (c2_1 (a19)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> False). % 1.22/1.42 do 0 intro. intros zenon_H9d zenon_H1a9 zenon_H33 zenon_H3c zenon_H32 zenon_H11f zenon_H120 zenon_H121 zenon_He0 zenon_Hc2 zenon_Hc1 zenon_H144 zenon_H14a zenon_H17 zenon_H15 zenon_H1c1 zenon_H42 zenon_Hd zenon_Hae zenon_Haf zenon_Hb0 zenon_Hd3 zenon_H1c2 zenon_H235 zenon_H234 zenon_H233 zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_H1f0 zenon_H167 zenon_H48. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H13 | zenon_intro zenon_Ha1 ]. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H11 | zenon_intro zenon_H41 ]. % 1.22/1.42 apply (zenon_L12_); trivial. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H1a. zenon_intro zenon_H44. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H1d. zenon_intro zenon_H45. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H1e. zenon_intro zenon_H1f. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H12c | zenon_intro zenon_H148 ]. % 1.22/1.42 apply (zenon_L135_); trivial. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H1a. zenon_intro zenon_H14b. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H13b. zenon_intro zenon_H14c. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H14c). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H1ab | zenon_intro zenon_H1f1 ]. % 1.22/1.42 apply (zenon_L304_); trivial. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H1c ]. % 1.22/1.42 apply (zenon_L687_); trivial. % 1.22/1.42 apply (zenon_L83_); trivial. % 1.22/1.42 apply (zenon_L275_); trivial. % 1.22/1.42 (* end of lemma zenon_L903_ *) % 1.22/1.42 assert (zenon_L904_ : ((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a11))/\((c1_1 (a11))/\(c3_1 (a11)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp27)\/(hskp26))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (c2_1 (a19)) -> (~(c3_1 (a19))) -> (~(c1_1 (a19))) -> (~(hskp4)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> (~(hskp0)) -> ((hskp24)\/((hskp23)\/(hskp0))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(c3_1 (a18))) -> (c2_1 (a18)) -> (c0_1 (a18)) -> (c3_1 (a14)) -> (c0_1 (a14)) -> (~(c2_1 (a14))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53))))))) -> False). % 1.22/1.42 do 0 intro. intros zenon_H9e zenon_H17b zenon_H1da zenon_H97 zenon_H1ee zenon_H1f2 zenon_H95 zenon_H1c6 zenon_H48 zenon_H167 zenon_H1f0 zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_H233 zenon_H234 zenon_H235 zenon_H1c2 zenon_Hd3 zenon_Hb0 zenon_Haf zenon_Hae zenon_Hd zenon_H42 zenon_H1c1 zenon_H15 zenon_H17 zenon_H14a zenon_Hc1 zenon_Hc2 zenon_He0 zenon_H121 zenon_H120 zenon_H11f zenon_H1a9 zenon_H9d. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.22/1.42 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.22/1.42 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.22/1.42 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.22/1.42 apply (zenon_L903_); trivial. % 1.22/1.42 apply (zenon_L877_); trivial. % 1.22/1.42 (* end of lemma zenon_L904_ *) % 1.22/1.42 assert (zenon_L905_ : ((ndr1_0)/\((c2_1 (a19))/\((~(c1_1 (a19)))/\(~(c3_1 (a19)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(~(c3_1 (a25))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp24))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (c0_1 (a18)) -> (c2_1 (a18)) -> (~(c3_1 (a18))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp4)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> (~(c2_1 (a14))) -> (c0_1 (a14)) -> (c3_1 (a14)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> ((hskp24)\/((hskp23)\/(hskp0))) -> (~(hskp0)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp27)\/(hskp26))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a11))/\((c1_1 (a11))/\(c3_1 (a11)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> False). % 1.22/1.43 do 0 intro. intros zenon_He5 zenon_H1a2 zenon_H1f8 zenon_H17a zenon_H17b zenon_H1da zenon_H177 zenon_H95 zenon_H1c6 zenon_Hd3 zenon_H1c1 zenon_H233 zenon_H234 zenon_H235 zenon_H149 zenon_He0 zenon_Hc2 zenon_Hc1 zenon_H14a zenon_Hd zenon_H42 zenon_H11f zenon_H120 zenon_H121 zenon_H12a zenon_H9d zenon_H1a9 zenon_H17 zenon_H15 zenon_H1c2 zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_H1f0 zenon_H167 zenon_H48 zenon_H1f2 zenon_H1ee zenon_H97 zenon_H9c. % 1.22/1.43 apply (zenon_and_s _ _ zenon_He5). zenon_intro zenon_H1a. zenon_intro zenon_He6. % 1.22/1.43 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_Hb0. zenon_intro zenon_He7. % 1.22/1.43 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hae. zenon_intro zenon_Haf. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H146 | zenon_intro zenon_H19f ]. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.22/1.43 apply (zenon_L303_); trivial. % 1.22/1.43 apply (zenon_L904_); trivial. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H1a. zenon_intro zenon_H1a0. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H18f. zenon_intro zenon_H1a1. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H19a. zenon_intro zenon_H18e. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.22/1.43 apply (zenon_L191_); trivial. % 1.22/1.43 apply (zenon_L904_); trivial. % 1.22/1.43 (* end of lemma zenon_L905_ *) % 1.22/1.43 assert (zenon_L906_ : ((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> (~(hskp4)) -> (c0_1 (a15)) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> ((hskp24)\/((hskp23)\/(hskp0))) -> (~(hskp0)) -> ((hskp25)\/((hskp17)\/(hskp21))) -> (~(hskp17)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp11)) -> (~(c3_1 (a25))) -> (c0_1 (a25)) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(c3_1 (a18))) -> (c2_1 (a18)) -> (c0_1 (a18)) -> (c1_1 (a7)) -> (c3_1 (a7)) -> (~(c0_1 (a7))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> (~(hskp1)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> False). % 1.22/1.43 do 0 intro. intros zenon_H17c zenon_H17b zenon_H9d zenon_H1a9 zenon_Hd zenon_H117 zenon_H116 zenon_H115 zenon_H17 zenon_H15 zenon_H130 zenon_H9 zenon_H93 zenon_H91 zenon_H18e zenon_H18f zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_Hfc zenon_H14a zenon_Hc1 zenon_Hc2 zenon_He0 zenon_H234 zenon_H235 zenon_H233 zenon_Hd3 zenon_H177 zenon_H167 zenon_H48 zenon_Hde zenon_H162 zenon_H166. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H17c). zenon_intro zenon_H1a. zenon_intro zenon_H17d. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H14f. zenon_intro zenon_H17e. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_H150. zenon_intro zenon_H151. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H12e | zenon_intro zenon_H161 ]. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H13 | zenon_intro zenon_Ha1 ]. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H11 | zenon_intro zenon_H41 ]. % 1.22/1.43 apply (zenon_L12_); trivial. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H1a. zenon_intro zenon_H44. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H1d. zenon_intro zenon_H45. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H1e. zenon_intro zenon_H1f. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H12c | zenon_intro zenon_H148 ]. % 1.22/1.43 apply (zenon_L81_); trivial. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H1a. zenon_intro zenon_H14b. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H13b. zenon_intro zenon_H14c. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H14c). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hd6 ]. % 1.22/1.43 apply (zenon_L87_); trivial. % 1.22/1.43 apply (zenon_L899_); trivial. % 1.22/1.43 apply (zenon_L511_); trivial. % 1.22/1.43 apply (zenon_L89_); trivial. % 1.22/1.43 apply (zenon_L93_); trivial. % 1.22/1.43 (* end of lemma zenon_L906_ *) % 1.22/1.43 assert (zenon_L907_ : ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> (~(hskp4)) -> (c0_1 (a15)) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> ((hskp24)\/((hskp23)\/(hskp0))) -> (~(hskp0)) -> ((hskp25)\/((hskp17)\/(hskp21))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp11)) -> (~(c3_1 (a25))) -> (c0_1 (a25)) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(c3_1 (a18))) -> (c2_1 (a18)) -> (c0_1 (a18)) -> (c1_1 (a7)) -> (c3_1 (a7)) -> (~(c0_1 (a7))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> (~(hskp1)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> (ndr1_0) -> (~(c2_1 (a14))) -> (c0_1 (a14)) -> (c3_1 (a14)) -> (~(hskp17)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> False). % 1.22/1.43 do 0 intro. intros zenon_H17a zenon_H17b zenon_H9d zenon_H1a9 zenon_Hd zenon_H117 zenon_H116 zenon_H115 zenon_H17 zenon_H15 zenon_H130 zenon_H93 zenon_H91 zenon_H18e zenon_H18f zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_Hfc zenon_H14a zenon_Hc1 zenon_Hc2 zenon_He0 zenon_H234 zenon_H235 zenon_H233 zenon_Hd3 zenon_H177 zenon_H167 zenon_H48 zenon_Hde zenon_H162 zenon_H166 zenon_H1a zenon_H11f zenon_H120 zenon_H121 zenon_H9 zenon_H12a. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H128 | zenon_intro zenon_H17c ]. % 1.22/1.43 apply (zenon_L78_); trivial. % 1.22/1.43 apply (zenon_L906_); trivial. % 1.22/1.43 (* end of lemma zenon_L907_ *) % 1.22/1.43 assert (zenon_L908_ : ((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a11))/\((c1_1 (a11))/\(c3_1 (a11)))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> (~(hskp18)) -> (~(hskp17)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp11)) -> (c0_1 (a15)) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(hskp15)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp19)) -> (c1_1 (a3)) -> (c3_1 (a3)) -> (c2_1 (a3)) -> (c0_1 (a8)) -> (c1_1 (a8)) -> (~(c2_1 (a8))) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(hskp7)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp27)\/(hskp7))) -> False). % 1.22/1.43 do 0 intro. intros zenon_H148 zenon_H97 zenon_H12a zenon_H128 zenon_H9 zenon_H93 zenon_H91 zenon_H117 zenon_H115 zenon_H116 zenon_H146 zenon_H149 zenon_H14a zenon_H144 zenon_H1d zenon_H1f zenon_H1e zenon_H228 zenon_H220 zenon_H21f zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_Hfc zenon_H1 zenon_H299. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H1a. zenon_intro zenon_H14b. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H13b. zenon_intro zenon_H14c. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H14c). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H98 ]. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H299); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H29a ]. % 1.22/1.43 apply (zenon_L789_); trivial. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H29a); [ zenon_intro zenon_H5a | zenon_intro zenon_H2 ]. % 1.22/1.43 exact (zenon_H59 zenon_H5a). % 1.22/1.43 exact (zenon_H1 zenon_H2). % 1.22/1.43 apply (zenon_L825_); trivial. % 1.22/1.43 (* end of lemma zenon_L908_ *) % 1.22/1.43 assert (zenon_L909_ : ((~(hskp23))\/((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> (~(hskp4)) -> ((hskp24)\/((hskp23)\/(hskp0))) -> (~(hskp0)) -> ((hskp25)\/((hskp17)\/(hskp21))) -> (~(hskp21)) -> (~(hskp17)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp27)\/(hskp7))) -> (~(hskp7)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> (~(c2_1 (a8))) -> (c1_1 (a8)) -> (c0_1 (a8)) -> (~(hskp19)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (~(hskp15)) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> (c0_1 (a15)) -> (~(hskp11)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp18)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a11))/\((c1_1 (a11))/\(c3_1 (a11)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> False). % 1.22/1.43 do 0 intro. intros zenon_H9d zenon_H1a9 zenon_Hd zenon_H17 zenon_H15 zenon_H130 zenon_H12e zenon_H9 zenon_H299 zenon_H1 zenon_Hfc zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_H21f zenon_H220 zenon_H228 zenon_H144 zenon_H14a zenon_H149 zenon_H146 zenon_H116 zenon_H115 zenon_H117 zenon_H91 zenon_H93 zenon_H128 zenon_H12a zenon_H97 zenon_H167 zenon_H48. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H13 | zenon_intro zenon_Ha1 ]. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H11 | zenon_intro zenon_H41 ]. % 1.22/1.43 apply (zenon_L12_); trivial. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H1a. zenon_intro zenon_H44. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H1d. zenon_intro zenon_H45. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H1e. zenon_intro zenon_H1f. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H12c | zenon_intro zenon_H148 ]. % 1.22/1.43 apply (zenon_L81_); trivial. % 1.22/1.43 apply (zenon_L908_); trivial. % 1.22/1.43 apply (zenon_L511_); trivial. % 1.22/1.43 (* end of lemma zenon_L909_ *) % 1.22/1.43 assert (zenon_L910_ : ((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp10)) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> ((hskp25)\/((hskp17)\/(hskp21))) -> (~(hskp17)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> (~(hskp18)) -> (~(c2_1 (a8))) -> (c0_1 (a8)) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(hskp11)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> False). % 1.22/1.43 do 0 intro. intros zenon_H176 zenon_H166 zenon_H43 zenon_H2d zenon_H235 zenon_H234 zenon_H233 zenon_H130 zenon_H9 zenon_H12a zenon_H128 zenon_H21f zenon_H228 zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_Hfc zenon_H91 zenon_H93 zenon_H167. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1a. zenon_intro zenon_H178. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H16a. zenon_intro zenon_H179. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H171. zenon_intro zenon_H168. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H12e | zenon_intro zenon_H161 ]. % 1.22/1.43 apply (zenon_L808_); trivial. % 1.22/1.43 apply (zenon_L461_); trivial. % 1.22/1.43 (* end of lemma zenon_L910_ *) % 1.22/1.43 assert (zenon_L911_ : ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> (~(hskp1)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp10)) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a11))/\((c1_1 (a11))/\(c3_1 (a11)))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp11)) -> (c0_1 (a15)) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(hskp15)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c0_1 (a8)) -> (c1_1 (a8)) -> (~(c2_1 (a8))) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(hskp7)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp27)\/(hskp7))) -> (~(hskp17)) -> ((hskp25)\/((hskp17)\/(hskp21))) -> (~(hskp0)) -> ((hskp24)\/((hskp23)\/(hskp0))) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> False). % 1.22/1.43 do 0 intro. intros zenon_H17a zenon_H177 zenon_Hde zenon_H162 zenon_H166 zenon_H43 zenon_H2d zenon_H235 zenon_H234 zenon_H233 zenon_H48 zenon_H167 zenon_H97 zenon_H12a zenon_H93 zenon_H91 zenon_H117 zenon_H115 zenon_H116 zenon_H146 zenon_H149 zenon_H14a zenon_H228 zenon_H220 zenon_H21f zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_Hfc zenon_H1 zenon_H299 zenon_H9 zenon_H130 zenon_H15 zenon_H17 zenon_Hd zenon_H1a9 zenon_H9d zenon_H17b. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H128 | zenon_intro zenon_H17c ]. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H12e | zenon_intro zenon_H161 ]. % 1.22/1.43 apply (zenon_L909_); trivial. % 1.22/1.43 apply (zenon_L461_); trivial. % 1.22/1.43 apply (zenon_L910_); trivial. % 1.22/1.43 apply (zenon_L792_); trivial. % 1.22/1.43 (* end of lemma zenon_L911_ *) % 1.22/1.43 assert (zenon_L912_ : ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp10)) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp27)\/(hskp26))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> (~(c2_1 (a8))) -> (c1_1 (a8)) -> (c0_1 (a8)) -> (~(hskp19)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c0_1 (a25)) -> (~(c3_1 (a25))) -> (~(hskp11)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp18)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a11))/\((c1_1 (a11))/\(c3_1 (a11)))))) -> (~(hskp17)) -> ((hskp25)\/((hskp17)\/(hskp21))) -> (~(hskp0)) -> ((hskp24)\/((hskp23)\/(hskp0))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (c0_1 (a15)) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53))))))) -> False). % 1.22/1.43 do 0 intro. intros zenon_H166 zenon_H43 zenon_H2d zenon_H235 zenon_H234 zenon_H233 zenon_H48 zenon_H167 zenon_H1c1 zenon_H1f2 zenon_Hfc zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_H21f zenon_H220 zenon_H228 zenon_H144 zenon_H14a zenon_H18f zenon_H18e zenon_H91 zenon_H93 zenon_H128 zenon_H12a zenon_H97 zenon_H9 zenon_H130 zenon_H15 zenon_H17 zenon_H115 zenon_H116 zenon_H117 zenon_Hd zenon_H1a9 zenon_H9d. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H12e | zenon_intro zenon_H161 ]. % 1.22/1.43 apply (zenon_L804_); trivial. % 1.22/1.43 apply (zenon_L461_); trivial. % 1.22/1.43 (* end of lemma zenon_L912_ *) % 1.22/1.43 assert (zenon_L913_ : ((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp10)) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> ((hskp25)\/((hskp17)\/(hskp21))) -> (~(hskp17)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> (c0_1 (a25)) -> (~(c3_1 (a25))) -> (~(hskp11)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> False). % 1.22/1.43 do 0 intro. intros zenon_H176 zenon_H166 zenon_H43 zenon_H2d zenon_H235 zenon_H234 zenon_H233 zenon_H130 zenon_H9 zenon_Hfc zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_H18f zenon_H18e zenon_H91 zenon_H93 zenon_H167. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1a. zenon_intro zenon_H178. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H16a. zenon_intro zenon_H179. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H171. zenon_intro zenon_H168. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H12e | zenon_intro zenon_H161 ]. % 1.22/1.43 apply (zenon_L847_); trivial. % 1.22/1.43 apply (zenon_L461_); trivial. % 1.22/1.43 (* end of lemma zenon_L913_ *) % 1.22/1.43 assert (zenon_L914_ : ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp10)) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> (~(c2_1 (a8))) -> (c1_1 (a8)) -> (c0_1 (a8)) -> (~(hskp19)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c0_1 (a25)) -> (~(c3_1 (a25))) -> (~(hskp11)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(c3_1 (a32))) -> (~(c1_1 (a32))) -> (~(c0_1 (a32))) -> (~(hskp17)) -> ((hskp25)\/((hskp17)\/(hskp21))) -> (~(hskp0)) -> ((hskp24)\/((hskp23)\/(hskp0))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (c0_1 (a15)) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53))))))) -> False). % 1.22/1.43 do 0 intro. intros zenon_H166 zenon_H43 zenon_H2d zenon_H235 zenon_H234 zenon_H233 zenon_H48 zenon_H167 zenon_H177 zenon_Hfc zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_H21f zenon_H220 zenon_H228 zenon_H144 zenon_H14a zenon_H18f zenon_H18e zenon_H91 zenon_H93 zenon_H151 zenon_H150 zenon_H14f zenon_H9 zenon_H130 zenon_H15 zenon_H17 zenon_H115 zenon_H116 zenon_H117 zenon_Hd zenon_H1a9 zenon_H9d. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H12e | zenon_intro zenon_H161 ]. % 1.22/1.43 apply (zenon_L810_); trivial. % 1.22/1.43 apply (zenon_L461_); trivial. % 1.22/1.43 (* end of lemma zenon_L914_ *) % 1.22/1.43 assert (zenon_L915_ : ((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> (~(hskp1)) -> (~(c3_1 (a32))) -> (~(c1_1 (a32))) -> (~(c0_1 (a32))) -> ((hskp25)\/((hskp17)\/(hskp21))) -> (~(hskp17)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> (c0_1 (a25)) -> (~(c3_1 (a25))) -> (~(hskp11)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> False). % 1.22/1.43 do 0 intro. intros zenon_H176 zenon_H166 zenon_H162 zenon_Hde zenon_H151 zenon_H150 zenon_H14f zenon_H130 zenon_H9 zenon_Hfc zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_H18f zenon_H18e zenon_H91 zenon_H93 zenon_H167. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1a. zenon_intro zenon_H178. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H16a. zenon_intro zenon_H179. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H171. zenon_intro zenon_H168. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H12e | zenon_intro zenon_H161 ]. % 1.22/1.43 apply (zenon_L847_); trivial. % 1.22/1.43 apply (zenon_L89_); trivial. % 1.22/1.43 (* end of lemma zenon_L915_ *) % 1.22/1.43 assert (zenon_L916_ : ((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> (~(hskp1)) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> (~(hskp4)) -> (c0_1 (a15)) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> ((hskp24)\/((hskp23)\/(hskp0))) -> (~(hskp0)) -> ((hskp25)\/((hskp17)\/(hskp21))) -> (~(hskp17)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp11)) -> (~(c3_1 (a25))) -> (c0_1 (a25)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c0_1 (a8)) -> (c1_1 (a8)) -> (~(c2_1 (a8))) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> (~(hskp10)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> False). % 1.22/1.43 do 0 intro. intros zenon_H17c zenon_H17b zenon_H162 zenon_Hde zenon_H9d zenon_H1a9 zenon_Hd zenon_H117 zenon_H116 zenon_H115 zenon_H17 zenon_H15 zenon_H130 zenon_H9 zenon_H93 zenon_H91 zenon_H18e zenon_H18f zenon_H14a zenon_H228 zenon_H220 zenon_H21f zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_Hfc zenon_H177 zenon_H167 zenon_H48 zenon_H233 zenon_H234 zenon_H235 zenon_H2d zenon_H43 zenon_H166. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H17c). zenon_intro zenon_H1a. zenon_intro zenon_H17d. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H14f. zenon_intro zenon_H17e. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_H150. zenon_intro zenon_H151. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.22/1.43 apply (zenon_L914_); trivial. % 1.22/1.43 apply (zenon_L915_); trivial. % 1.22/1.43 (* end of lemma zenon_L916_ *) % 1.22/1.43 assert (zenon_L917_ : ((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(~(c3_1 (a25)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> (~(hskp4)) -> (c0_1 (a15)) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> ((hskp24)\/((hskp23)\/(hskp0))) -> (~(hskp0)) -> ((hskp25)\/((hskp17)\/(hskp21))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a11))/\((c1_1 (a11))/\(c3_1 (a11)))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c0_1 (a8)) -> (c1_1 (a8)) -> (~(c2_1 (a8))) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp27)\/(hskp26))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> (~(hskp10)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> (~(hskp1)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> False). % 1.22/1.43 do 0 intro. intros zenon_H19f zenon_H9c zenon_H42 zenon_H17b zenon_H9d zenon_H1a9 zenon_Hd zenon_H117 zenon_H116 zenon_H115 zenon_H17 zenon_H15 zenon_H130 zenon_H97 zenon_H12a zenon_H93 zenon_H91 zenon_H14a zenon_H228 zenon_H220 zenon_H21f zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_Hfc zenon_H1f2 zenon_H1c1 zenon_H167 zenon_H48 zenon_H233 zenon_H234 zenon_H235 zenon_H2d zenon_H43 zenon_H166 zenon_H177 zenon_Hde zenon_H162 zenon_H17a. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H1a. zenon_intro zenon_H1a0. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H18f. zenon_intro zenon_H1a1. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H19a. zenon_intro zenon_H18e. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H128 | zenon_intro zenon_H17c ]. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.22/1.43 apply (zenon_L912_); trivial. % 1.22/1.43 apply (zenon_L913_); trivial. % 1.22/1.43 apply (zenon_L916_); trivial. % 1.22/1.43 apply (zenon_L244_); trivial. % 1.22/1.43 (* end of lemma zenon_L917_ *) % 1.22/1.43 assert (zenon_L918_ : ((~(hskp11))\/((ndr1_0)/\((c2_1 (a19))/\((~(c1_1 (a19)))/\(~(c3_1 (a19))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(hskp7)) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> (~(hskp4)) -> ((hskp24)\/((hskp23)\/(hskp0))) -> (~(hskp0)) -> ((hskp25)\/((hskp17)\/(hskp21))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp27)\/(hskp7))) -> (~(hskp7)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> (~(c2_1 (a8))) -> (c1_1 (a8)) -> (c0_1 (a8)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> (c0_1 (a15)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a11))/\((c1_1 (a11))/\(c3_1 (a11)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> (~(hskp10)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> (~(hskp1)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp27)\/(hskp26))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(~(c3_1 (a25))))))) -> False). % 1.22/1.43 do 0 intro. intros zenon_H213 zenon_Hb7 zenon_H9c zenon_H42 zenon_H17b zenon_H9d zenon_H1a9 zenon_Hd zenon_H17 zenon_H15 zenon_H130 zenon_H299 zenon_H1 zenon_Hfc zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_H21f zenon_H220 zenon_H228 zenon_H14a zenon_H149 zenon_H116 zenon_H115 zenon_H117 zenon_H93 zenon_H12a zenon_H97 zenon_H167 zenon_H48 zenon_H233 zenon_H234 zenon_H235 zenon_H2d zenon_H43 zenon_H166 zenon_H162 zenon_Hde zenon_H177 zenon_H17a zenon_H1c1 zenon_H1f2 zenon_H1a2. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H91 | zenon_intro zenon_He5 ]. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H146 | zenon_intro zenon_H19f ]. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.22/1.43 apply (zenon_L911_); trivial. % 1.22/1.43 apply (zenon_L244_); trivial. % 1.22/1.43 apply (zenon_L917_); trivial. % 1.22/1.43 apply (zenon_L62_); trivial. % 1.22/1.43 (* end of lemma zenon_L918_ *) % 1.22/1.43 assert (zenon_L919_ : ((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> (~(c2_1 (a16))) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(hskp4)) -> False). % 1.22/1.43 do 0 intro. intros zenon_H9e zenon_H42 zenon_H235 zenon_H234 zenon_H233 zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_He9 zenon_Hea zenon_Heb zenon_Hfc zenon_Hd. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.22/1.43 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H1b | zenon_intro zenon_H46 ]. % 1.22/1.43 apply (zenon_L242_); trivial. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_He ]. % 1.22/1.43 apply (zenon_L700_); trivial. % 1.22/1.43 exact (zenon_Hd zenon_He). % 1.22/1.43 (* end of lemma zenon_L919_ *) % 1.22/1.43 assert (zenon_L920_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp27)\/(hskp26))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp11)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a11))/\((c1_1 (a11))/\(c3_1 (a11)))))) -> ((hskp25)\/((hskp17)\/(hskp21))) -> (~(hskp0)) -> ((hskp24)\/((hskp23)\/(hskp0))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (c0_1 (a15)) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> (c2_1 (a18)) -> (c0_1 (a18)) -> (~(c3_1 (a18))) -> (ndr1_0) -> (~(c2_1 (a16))) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> False). % 1.22/1.43 do 0 intro. intros zenon_H9c zenon_H42 zenon_H235 zenon_H234 zenon_H233 zenon_H1da zenon_H166 zenon_H95 zenon_H48 zenon_H167 zenon_H1f2 zenon_H14a zenon_H91 zenon_H93 zenon_H97 zenon_H130 zenon_H15 zenon_H17 zenon_H115 zenon_H116 zenon_H117 zenon_Hd zenon_H1a9 zenon_H9d zenon_H1c6 zenon_Hc2 zenon_He0 zenon_Hc1 zenon_H1a zenon_He9 zenon_Hea zenon_Heb zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_Hfc zenon_H1c1 zenon_H17b. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.22/1.43 apply (zenon_L863_); trivial. % 1.22/1.43 apply (zenon_L919_); trivial. % 1.22/1.43 (* end of lemma zenon_L920_ *) % 1.22/1.43 assert (zenon_L921_ : ((ndr1_0)/\((c0_1 (a18))/\((c2_1 (a18))/\(~(c3_1 (a18)))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a19))/\((~(c1_1 (a19)))/\(~(c3_1 (a19))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(hskp7)) -> (~(hskp7)) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (~(c2_1 (a16))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> (~(hskp4)) -> (c0_1 (a15)) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> ((hskp24)\/((hskp23)\/(hskp0))) -> (~(hskp0)) -> ((hskp25)\/((hskp17)\/(hskp21))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a11))/\((c1_1 (a11))/\(c3_1 (a11)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp27)\/(hskp26))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> False). % 1.22/1.43 do 0 intro. intros zenon_H217 zenon_H213 zenon_Hb7 zenon_H1 zenon_H17b zenon_H1c1 zenon_Hfc zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_Heb zenon_Hea zenon_He9 zenon_H1c6 zenon_H9d zenon_H1a9 zenon_Hd zenon_H117 zenon_H116 zenon_H115 zenon_H17 zenon_H15 zenon_H130 zenon_H97 zenon_H93 zenon_H14a zenon_H1f2 zenon_H167 zenon_H48 zenon_H95 zenon_H166 zenon_H1da zenon_H233 zenon_H234 zenon_H235 zenon_H42 zenon_H9c. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H1a. zenon_intro zenon_H218. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_He0. zenon_intro zenon_H219. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_Hc2. zenon_intro zenon_Hc1. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H91 | zenon_intro zenon_He5 ]. % 1.22/1.43 apply (zenon_L920_); trivial. % 1.22/1.43 apply (zenon_L62_); trivial. % 1.22/1.43 (* end of lemma zenon_L921_ *) % 1.22/1.43 assert (zenon_L922_ : ((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a11))/\((c1_1 (a11))/\(c3_1 (a11)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp27)\/(hskp26))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((hskp9)\/(hskp24))) -> (~(hskp9)) -> (c0_1 (a8)) -> (c1_1 (a8)) -> (~(c2_1 (a8))) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> (c2_1 (a31)) -> (c0_1 (a31)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(c3_1 (a19))) -> (~(c1_1 (a19))) -> (c2_1 (a19)) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> False). % 1.22/1.43 do 0 intro. intros zenon_H176 zenon_H1da zenon_H167 zenon_H1f0 zenon_H97 zenon_H1ee zenon_H1c2 zenon_H1f2 zenon_H95 zenon_H1c1 zenon_H7b zenon_H3 zenon_H228 zenon_H220 zenon_H21f zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_H1c6 zenon_H33 zenon_H3c zenon_Hfc zenon_H177 zenon_Hd3 zenon_Haf zenon_Hae zenon_Hb0 zenon_H48. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1a. zenon_intro zenon_H178. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H16a. zenon_intro zenon_H179. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H171. zenon_intro zenon_H168. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.22/1.43 apply (zenon_L884_); trivial. % 1.22/1.43 apply (zenon_L754_); trivial. % 1.22/1.43 (* end of lemma zenon_L922_ *) % 1.22/1.43 assert (zenon_L923_ : ((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a11))/\((c1_1 (a11))/\(c3_1 (a11)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp27)\/(hskp26))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((hskp9)\/(hskp24))) -> (~(hskp9)) -> (c0_1 (a8)) -> (c1_1 (a8)) -> (~(c2_1 (a8))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (c2_1 (a19)) -> (~(c3_1 (a19))) -> (~(c1_1 (a19))) -> (~(hskp4)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> (~(hskp0)) -> ((hskp24)\/((hskp23)\/(hskp0))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(c3_1 (a18))) -> (c2_1 (a18)) -> (c0_1 (a18)) -> (c3_1 (a14)) -> (c0_1 (a14)) -> (~(c2_1 (a14))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53))))))) -> False). % 1.22/1.43 do 0 intro. intros zenon_H9e zenon_H17b zenon_H1da zenon_H97 zenon_H1ee zenon_H1f2 zenon_H95 zenon_H7b zenon_H3 zenon_H228 zenon_H220 zenon_H21f zenon_H1c6 zenon_Hfc zenon_H177 zenon_H48 zenon_H167 zenon_H1f0 zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_H233 zenon_H234 zenon_H235 zenon_H1c2 zenon_Hd3 zenon_Hb0 zenon_Haf zenon_Hae zenon_Hd zenon_H42 zenon_H1c1 zenon_H15 zenon_H17 zenon_H14a zenon_Hc1 zenon_Hc2 zenon_He0 zenon_H121 zenon_H120 zenon_H11f zenon_H1a9 zenon_H9d. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.22/1.43 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.22/1.43 apply (zenon_L903_); trivial. % 1.22/1.43 apply (zenon_L922_); trivial. % 1.22/1.43 (* end of lemma zenon_L923_ *) % 1.22/1.43 assert (zenon_L924_ : ((ndr1_0)/\((c2_1 (a19))/\((~(c1_1 (a19)))/\(~(c3_1 (a19)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(~(c3_1 (a25))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp24))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (c0_1 (a18)) -> (c2_1 (a18)) -> (~(c3_1 (a18))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp4)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> (~(c2_1 (a14))) -> (c0_1 (a14)) -> (c3_1 (a14)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> ((hskp24)\/((hskp23)\/(hskp0))) -> (~(hskp0)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(c2_1 (a8))) -> (c1_1 (a8)) -> (c0_1 (a8)) -> (~(hskp9)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((hskp9)\/(hskp24))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp27)\/(hskp26))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a11))/\((c1_1 (a11))/\(c3_1 (a11)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> False). % 1.22/1.43 do 0 intro. intros zenon_He5 zenon_H1a2 zenon_H1f8 zenon_H17a zenon_H17b zenon_H1da zenon_H177 zenon_H95 zenon_H1c6 zenon_Hd3 zenon_H1c1 zenon_H233 zenon_H234 zenon_H235 zenon_H149 zenon_He0 zenon_Hc2 zenon_Hc1 zenon_H14a zenon_Hd zenon_H42 zenon_H11f zenon_H120 zenon_H121 zenon_H12a zenon_H9d zenon_H1a9 zenon_H17 zenon_H15 zenon_H1c2 zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_H1f0 zenon_H167 zenon_H48 zenon_Hfc zenon_H21f zenon_H220 zenon_H228 zenon_H3 zenon_H7b zenon_H1f2 zenon_H1ee zenon_H97 zenon_H9c. % 1.22/1.43 apply (zenon_and_s _ _ zenon_He5). zenon_intro zenon_H1a. zenon_intro zenon_He6. % 1.22/1.43 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_Hb0. zenon_intro zenon_He7. % 1.22/1.43 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hae. zenon_intro zenon_Haf. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H146 | zenon_intro zenon_H19f ]. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.22/1.43 apply (zenon_L303_); trivial. % 1.22/1.43 apply (zenon_L923_); trivial. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H1a. zenon_intro zenon_H1a0. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H18f. zenon_intro zenon_H1a1. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H19a. zenon_intro zenon_H18e. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.22/1.43 apply (zenon_L191_); trivial. % 1.22/1.43 apply (zenon_L923_); trivial. % 1.22/1.43 (* end of lemma zenon_L924_ *) % 1.22/1.43 assert (zenon_L925_ : ((ndr1_0)/\((c0_1 (a16))/\((~(c2_1 (a16)))/\(~(c3_1 (a16)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> (~(hskp8)) -> (~(hskp4)) -> ((hskp17)\/((hskp8)\/(hskp4))) -> False). % 1.22/1.43 do 0 intro. intros zenon_H216 zenon_H9c zenon_H42 zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_Hfc zenon_H235 zenon_H234 zenon_H233 zenon_Hb zenon_Hd zenon_Hf. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_H1a. zenon_intro zenon_H21a. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_Heb. zenon_intro zenon_H21b. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_He9. zenon_intro zenon_Hea. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.22/1.43 apply (zenon_L8_); trivial. % 1.22/1.43 apply (zenon_L919_); trivial. % 1.22/1.43 (* end of lemma zenon_L925_ *) % 1.22/1.43 assert (zenon_L926_ : ((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> (c2_1 (a18)) -> (c0_1 (a18)) -> (~(c3_1 (a18))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((hskp9)\/(hskp24))) -> (~(hskp9)) -> (c0_1 (a8)) -> (c1_1 (a8)) -> (~(c2_1 (a8))) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> (~(hskp4)) -> (c0_1 (a15)) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> ((hskp24)\/((hskp23)\/(hskp0))) -> (~(hskp0)) -> ((hskp25)\/((hskp17)\/(hskp21))) -> (~(hskp17)) -> (~(c3_1 (a25))) -> (c0_1 (a25)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> False). % 1.22/1.43 do 0 intro. intros zenon_H17c zenon_H17b zenon_H48 zenon_H93 zenon_H91 zenon_H14a zenon_H1c6 zenon_Hc2 zenon_He0 zenon_Hc1 zenon_H7b zenon_H3 zenon_H228 zenon_H220 zenon_H21f zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_Hfc zenon_H1c1 zenon_H9d zenon_H1a9 zenon_Hd zenon_H117 zenon_H116 zenon_H115 zenon_H17 zenon_H15 zenon_H130 zenon_H9 zenon_H18e zenon_H18f zenon_H177 zenon_H167 zenon_H95 zenon_H166 zenon_H1da. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H17c). zenon_intro zenon_H1a. zenon_intro zenon_H17d. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H14f. zenon_intro zenon_H17e. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_H150. zenon_intro zenon_H151. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.22/1.43 apply (zenon_L822_); trivial. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H1a. zenon_intro zenon_H1d8. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1d0. zenon_intro zenon_H1d9. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1ce. zenon_intro zenon_H1cf. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H12e | zenon_intro zenon_H161 ]. % 1.22/1.43 apply (zenon_L810_); trivial. % 1.22/1.43 apply (zenon_L830_); trivial. % 1.22/1.43 apply (zenon_L153_); trivial. % 1.22/1.43 (* end of lemma zenon_L926_ *) % 1.22/1.43 assert (zenon_L927_ : ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(hskp24)) -> (~(hskp9)) -> (~(c2_1 (a8))) -> (c1_1 (a8)) -> (c0_1 (a8)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((hskp9)\/(hskp24))) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> (forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10)))))) -> (ndr1_0) -> (~(c1_1 (a31))) -> (c0_1 (a31)) -> (c2_1 (a31)) -> False). % 1.22/1.43 do 0 intro. intros zenon_Hfc zenon_H11 zenon_H3 zenon_H21f zenon_H220 zenon_H228 zenon_H7b zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_H3b zenon_H1a zenon_H32 zenon_H3c zenon_H33. % 1.22/1.43 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfd ]. % 1.22/1.43 apply (zenon_L765_); trivial. % 1.22/1.43 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hf3 | zenon_intro zenon_Hcd ]. % 1.22/1.43 apply (zenon_L687_); trivial. % 1.22/1.43 apply (zenon_L155_); trivial. % 1.22/1.43 (* end of lemma zenon_L927_ *) % 1.22/1.43 assert (zenon_L928_ : ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> (c2_1 (a31)) -> (c0_1 (a31)) -> (~(c1_1 (a31))) -> (ndr1_0) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((hskp9)\/(hskp24))) -> (c0_1 (a8)) -> (c1_1 (a8)) -> (~(c2_1 (a8))) -> (~(hskp9)) -> (~(hskp24)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(hskp4)) -> False). % 1.22/1.43 do 0 intro. intros zenon_H42 zenon_H235 zenon_H234 zenon_H233 zenon_H33 zenon_H3c zenon_H32 zenon_H1a zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_H7b zenon_H228 zenon_H220 zenon_H21f zenon_H3 zenon_H11 zenon_Hfc zenon_Hd. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H1b | zenon_intro zenon_H46 ]. % 1.22/1.43 apply (zenon_L242_); trivial. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_He ]. % 1.22/1.43 apply (zenon_L927_); trivial. % 1.22/1.43 exact (zenon_Hd zenon_He). % 1.22/1.43 (* end of lemma zenon_L928_ *) % 1.22/1.43 assert (zenon_L929_ : ((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> (c0_1 (a25)) -> (~(c3_1 (a25))) -> (~(hskp11)) -> (~(c3_1 (a18))) -> (c0_1 (a18)) -> (c2_1 (a18)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(hskp19)) -> (~(c2_1 (a8))) -> (c1_1 (a8)) -> (c0_1 (a8)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> (~(c1_1 (a31))) -> (c0_1 (a31)) -> (c2_1 (a31)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp4)) -> False). % 1.22/1.43 do 0 intro. intros zenon_H41 zenon_H42 zenon_H18f zenon_H18e zenon_H91 zenon_Hc1 zenon_He0 zenon_Hc2 zenon_Hfc zenon_H144 zenon_H21f zenon_H220 zenon_H228 zenon_H14a zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_H32 zenon_H3c zenon_H33 zenon_H93 zenon_Hd. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H1a. zenon_intro zenon_H44. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H1d. zenon_intro zenon_H45. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H1e. zenon_intro zenon_H1f. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H1b | zenon_intro zenon_H46 ]. % 1.22/1.43 apply (zenon_L805_); trivial. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_He ]. % 1.22/1.43 apply (zenon_L772_); trivial. % 1.22/1.43 exact (zenon_Hd zenon_He). % 1.22/1.43 (* end of lemma zenon_L929_ *) % 1.22/1.43 assert (zenon_L930_ : ((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((hskp9)\/(hskp24))) -> (~(hskp9)) -> (c0_1 (a8)) -> (c1_1 (a8)) -> (~(c2_1 (a8))) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp11)) -> (~(c3_1 (a25))) -> (c0_1 (a25)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c2_1 (a18)) -> (c0_1 (a18)) -> (~(c3_1 (a18))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> False). % 1.22/1.43 do 0 intro. intros zenon_H9e zenon_H17b zenon_H42 zenon_Hd zenon_H7b zenon_H3 zenon_H228 zenon_H220 zenon_H21f zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_Hfc zenon_H235 zenon_H234 zenon_H233 zenon_H93 zenon_H91 zenon_H18e zenon_H18f zenon_H14a zenon_Hc2 zenon_He0 zenon_Hc1 zenon_H48. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.22/1.43 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H11 | zenon_intro zenon_H41 ]. % 1.22/1.43 apply (zenon_L928_); trivial. % 1.22/1.43 apply (zenon_L929_); trivial. % 1.22/1.43 apply (zenon_L814_); trivial. % 1.22/1.43 (* end of lemma zenon_L930_ *) % 1.22/1.43 assert (zenon_L931_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(~(c3_1 (a25))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((hskp25)\/((hskp17)\/(hskp21))) -> (~(hskp0)) -> ((hskp24)\/((hskp23)\/(hskp0))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (c0_1 (a15)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> (~(c2_1 (a8))) -> (c1_1 (a8)) -> (c0_1 (a8)) -> (~(hskp9)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((hskp9)\/(hskp24))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(c3_1 (a18))) -> (c2_1 (a18)) -> (c0_1 (a18)) -> (c3_1 (a14)) -> (~(c2_1 (a14))) -> (c0_1 (a14)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> (ndr1_0) -> (~(hskp11)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> False). % 1.22/1.43 do 0 intro. intros zenon_H1a2 zenon_H9c zenon_H12a zenon_H1da zenon_H166 zenon_H95 zenon_H167 zenon_H177 zenon_H130 zenon_H15 zenon_H17 zenon_H115 zenon_H116 zenon_H117 zenon_H1a9 zenon_H9d zenon_H1c1 zenon_Hfc zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_H21f zenon_H220 zenon_H228 zenon_H3 zenon_H7b zenon_H1c6 zenon_H48 zenon_H17a zenon_H42 zenon_Hd zenon_H14a zenon_Hc1 zenon_Hc2 zenon_He0 zenon_H121 zenon_H11f zenon_H120 zenon_H149 zenon_H235 zenon_H234 zenon_H233 zenon_H1a zenon_H91 zenon_H93 zenon_H17b. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H146 | zenon_intro zenon_H19f ]. % 1.22/1.43 apply (zenon_L253_); trivial. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H1a. zenon_intro zenon_H1a0. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H18f. zenon_intro zenon_H1a1. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H19a. zenon_intro zenon_H18e. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H128 | zenon_intro zenon_H17c ]. % 1.22/1.43 apply (zenon_L78_); trivial. % 1.22/1.43 apply (zenon_L926_); trivial. % 1.22/1.43 apply (zenon_L930_); trivial. % 1.22/1.43 (* end of lemma zenon_L931_ *) % 1.22/1.43 assert (zenon_L932_ : ((ndr1_0)/\((c0_1 (a16))/\((~(c2_1 (a16)))/\(~(c3_1 (a16)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> (c3_1 (a14)) -> (c0_1 (a14)) -> (~(c2_1 (a14))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(hskp0)) -> ((hskp24)\/((hskp23)\/(hskp0))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (c0_1 (a15)) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> False). % 1.22/1.43 do 0 intro. intros zenon_H216 zenon_H9c zenon_H42 zenon_H235 zenon_H234 zenon_H233 zenon_H12a zenon_H121 zenon_H120 zenon_H11f zenon_H48 zenon_H177 zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_Hfc zenon_H15 zenon_H17 zenon_H115 zenon_H116 zenon_H117 zenon_Hd zenon_H1a9 zenon_H9d zenon_H17a. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_H1a. zenon_intro zenon_H21a. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_Heb. zenon_intro zenon_H21b. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_He9. zenon_intro zenon_Hea. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.22/1.43 apply (zenon_L888_); trivial. % 1.22/1.43 apply (zenon_L919_); trivial. % 1.22/1.43 (* end of lemma zenon_L932_ *) % 1.22/1.43 assert (zenon_L933_ : ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp1)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp6)\/(hskp10))) -> (~(hskp10)) -> (~(hskp6)) -> (~(hskp17)) -> ((hskp25)\/((hskp17)\/(hskp21))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (~(c2_1 (a6))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> False). % 1.22/1.43 do 0 intro. intros zenon_H17a zenon_H17b zenon_H177 zenon_H14a zenon_Hde zenon_H162 zenon_H167 zenon_H2f zenon_H2d zenon_H2b zenon_H9 zenon_H130 zenon_H12a zenon_H256 zenon_H255 zenon_H254 zenon_H43 zenon_H166. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H128 | zenon_intro zenon_H17c ]. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H12e | zenon_intro zenon_H161 ]. % 1.22/1.43 apply (zenon_L507_); trivial. % 1.22/1.43 apply (zenon_L323_); trivial. % 1.22/1.43 apply (zenon_L327_); trivial. % 1.22/1.43 (* end of lemma zenon_L933_ *) % 1.22/1.43 assert (zenon_L934_ : ((~(hskp13))\/((ndr1_0)/\((~(c0_1 (a22)))/\((~(c2_1 (a22)))/\(~(c3_1 (a22))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((hskp9)\/(hskp24))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> ((hskp25)\/((hskp17)\/(hskp21))) -> (~(hskp6)) -> (~(hskp10)) -> ((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp6)\/(hskp10))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> (~(hskp7)) -> (~(hskp9)) -> ((hskp7)\/((hskp9)\/(hskp13))) -> False). % 1.22/1.43 do 0 intro. intros zenon_H287 zenon_H9c zenon_H63 zenon_H15 zenon_H93 zenon_H91 zenon_H95 zenon_H7b zenon_H1ee zenon_H48 zenon_H166 zenon_H43 zenon_H254 zenon_H255 zenon_H256 zenon_H12a zenon_H130 zenon_H2b zenon_H2d zenon_H2f zenon_H167 zenon_H162 zenon_Hde zenon_H14a zenon_H177 zenon_H17b zenon_H17a zenon_H1 zenon_H3 zenon_H7. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H5 | zenon_intro zenon_H284 ]. % 1.22/1.43 apply (zenon_L4_); trivial. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H284). zenon_intro zenon_H1a. zenon_intro zenon_H285. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_H80. zenon_intro zenon_H286. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H286). zenon_intro zenon_H89. zenon_intro zenon_H81. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.22/1.43 apply (zenon_L933_); trivial. % 1.22/1.43 apply (zenon_L336_); trivial. % 1.22/1.43 (* end of lemma zenon_L934_ *) % 1.22/1.43 assert (zenon_L935_ : ((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> (~(c0_1 (a37))) -> (~(c3_1 (a37))) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> (~(c1_1 (a19))) -> (~(c3_1 (a19))) -> (c2_1 (a19)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> False). % 1.22/1.43 do 0 intro. intros zenon_H148 zenon_H1ee zenon_H1ce zenon_H1cf zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_Hae zenon_Haf zenon_Hb0 zenon_H1f0 zenon_H254 zenon_H255 zenon_H256. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H1a. zenon_intro zenon_H14b. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H13b. zenon_intro zenon_H14c. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H14c). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H1ee); [ zenon_intro zenon_H1e7 | zenon_intro zenon_H1ef ]. % 1.22/1.43 apply (zenon_L751_); trivial. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H3b | zenon_intro zenon_H6d ]. % 1.22/1.43 apply (zenon_L752_); trivial. % 1.22/1.43 apply (zenon_L318_); trivial. % 1.22/1.43 (* end of lemma zenon_L935_ *) % 1.22/1.43 assert (zenon_L936_ : ((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (~(c2_1 (a6))) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a11))/\((c1_1 (a11))/\(c3_1 (a11)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(c1_1 (a19))) -> (~(c3_1 (a19))) -> (c2_1 (a19)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp27)\/(hskp26))) -> (c2_1 (a33)) -> (~(c0_1 (a33))) -> (c3_1 (a33)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> False). % 1.22/1.43 do 0 intro. intros zenon_H1d7 zenon_H167 zenon_H256 zenon_H255 zenon_H254 zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_H1f0 zenon_H97 zenon_H1ee zenon_Hd3 zenon_Hae zenon_Haf zenon_Hb0 zenon_H1c2 zenon_H1f2 zenon_H16a zenon_H168 zenon_H171 zenon_H95 zenon_H1c1. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H1a. zenon_intro zenon_H1d8. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1d0. zenon_intro zenon_H1d9. % 1.22/1.43 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1ce. zenon_intro zenon_H1cf. % 1.22/1.43 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H12c | zenon_intro zenon_H148 ]. % 1.22/1.43 apply (zenon_L307_); trivial. % 1.22/1.43 apply (zenon_L935_); trivial. % 1.22/1.43 (* end of lemma zenon_L936_ *) % 1.22/1.43 assert (zenon_L937_ : ((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a11))/\((c1_1 (a11))/\(c3_1 (a11)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp27)\/(hskp26))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((hskp9)\/(hskp24))) -> (~(hskp9)) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (~(c2_1 (a6))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(c3_1 (a19))) -> (~(c1_1 (a19))) -> (c2_1 (a19)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> False). % 1.22/1.44 do 0 intro. intros zenon_H176 zenon_H1da zenon_H167 zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_H1f0 zenon_H97 zenon_H1ee zenon_H1c2 zenon_H1f2 zenon_H95 zenon_H7b zenon_H3 zenon_H256 zenon_H255 zenon_H254 zenon_H177 zenon_Hd3 zenon_Haf zenon_Hae zenon_Hb0 zenon_H1c6 zenon_H1c1 zenon_H48. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1a. zenon_intro zenon_H178. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H16a. zenon_intro zenon_H179. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H171. zenon_intro zenon_H168. % 1.22/1.44 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.22/1.44 apply (zenon_L346_); trivial. % 1.22/1.44 apply (zenon_L936_); trivial. % 1.22/1.44 (* end of lemma zenon_L937_ *) % 1.22/1.44 assert (zenon_L938_ : ((ndr1_0)/\((c2_1 (a19))/\((~(c1_1 (a19)))/\(~(c3_1 (a19)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> (~(hskp9)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((hskp9)\/(hskp24))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp27)\/(hskp26))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(c3_1 (a18))) -> (c2_1 (a18)) -> (c0_1 (a18)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a11))/\((c1_1 (a11))/\(c3_1 (a11)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> False). % 1.22/1.44 do 0 intro. intros zenon_He5 zenon_H17b zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_H1f0 zenon_H95 zenon_H48 zenon_H1c1 zenon_H1c6 zenon_Hd3 zenon_H177 zenon_H254 zenon_H255 zenon_H256 zenon_H3 zenon_H7b zenon_H1f2 zenon_H14a zenon_Hc1 zenon_Hc2 zenon_He0 zenon_H1c2 zenon_H1ee zenon_H97 zenon_H167 zenon_H1da. % 1.22/1.44 apply (zenon_and_s _ _ zenon_He5). zenon_intro zenon_H1a. zenon_intro zenon_He6. % 1.22/1.44 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_Hb0. zenon_intro zenon_He7. % 1.22/1.44 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hae. zenon_intro zenon_Haf. % 1.22/1.44 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.22/1.44 apply (zenon_L348_); trivial. % 1.22/1.44 apply (zenon_L937_); trivial. % 1.22/1.44 (* end of lemma zenon_L938_ *) % 1.22/1.44 assert (zenon_L939_ : ((ndr1_0)/\((c0_1 (a18))/\((c2_1 (a18))/\(~(c3_1 (a18)))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a19))/\((~(c1_1 (a19)))/\(~(c3_1 (a19))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a11))/\((c1_1 (a11))/\(c3_1 (a11)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp27)\/(hskp26))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> (~(hskp5)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp5))) -> (~(hskp9)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((hskp9)\/(hskp24))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (~(c2_1 (a6))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> False). % 1.22/1.44 do 0 intro. intros zenon_H217 zenon_H213 zenon_H1f0 zenon_H95 zenon_H177 zenon_H1da zenon_H48 zenon_H167 zenon_H97 zenon_H1ee zenon_H1c2 zenon_H1f2 zenon_Hfc zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_Hd4 zenon_Hdc zenon_H3 zenon_H7b zenon_H1c6 zenon_H14a zenon_H256 zenon_H255 zenon_H254 zenon_Hd3 zenon_H1c1 zenon_H93 zenon_H17b. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H1a. zenon_intro zenon_H218. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_He0. zenon_intro zenon_H219. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_Hc2. zenon_intro zenon_Hc1. % 1.22/1.44 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H91 | zenon_intro zenon_He5 ]. % 1.22/1.44 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.22/1.44 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.22/1.44 apply (zenon_L339_); trivial. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H1a. zenon_intro zenon_H1d8. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1d0. zenon_intro zenon_H1d9. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1ce. zenon_intro zenon_H1cf. % 1.22/1.44 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H11 | zenon_intro zenon_H41 ]. % 1.22/1.44 apply (zenon_L329_); trivial. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H1a. zenon_intro zenon_H44. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H1d. zenon_intro zenon_H45. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H1e. zenon_intro zenon_H1f. % 1.22/1.44 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H12c | zenon_intro zenon_H148 ]. % 1.22/1.44 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1be ]. % 1.22/1.44 apply (zenon_L344_); trivial. % 1.22/1.44 apply (zenon_L689_); trivial. % 1.22/1.44 apply (zenon_L319_); trivial. % 1.22/1.44 apply (zenon_L153_); trivial. % 1.22/1.44 apply (zenon_L938_); trivial. % 1.22/1.44 (* end of lemma zenon_L939_ *) % 1.22/1.44 assert (zenon_L940_ : ((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (c3_1 (a33)) -> (c2_1 (a33)) -> (~(c0_1 (a33))) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> (~(c2_1 (a16))) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(hskp11)) -> False). % 1.22/1.44 do 0 intro. intros zenon_H148 zenon_H93 zenon_H171 zenon_H16a zenon_H168 zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_He9 zenon_Hea zenon_Heb zenon_Hfc zenon_H91. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H1a. zenon_intro zenon_H14b. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H13b. zenon_intro zenon_H14c. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H14c). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 1.22/1.44 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H49 | zenon_intro zenon_H94 ]. % 1.22/1.44 apply (zenon_L105_); trivial. % 1.22/1.44 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H8e | zenon_intro zenon_H92 ]. % 1.22/1.44 apply (zenon_L851_); trivial. % 1.22/1.44 exact (zenon_H91 zenon_H92). % 1.22/1.44 (* end of lemma zenon_L940_ *) % 1.22/1.44 assert (zenon_L941_ : ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp11)) -> (~(c2_1 (a16))) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c3_1 (a33)) -> (c2_1 (a33)) -> (~(c0_1 (a33))) -> (~(hskp17)) -> (~(hskp21)) -> ((hskp25)\/((hskp17)\/(hskp21))) -> False). % 1.22/1.44 do 0 intro. intros zenon_H167 zenon_H93 zenon_H91 zenon_He9 zenon_Hea zenon_Heb zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_Hfc zenon_H171 zenon_H16a zenon_H168 zenon_H9 zenon_H12e zenon_H130. % 1.22/1.44 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H12c | zenon_intro zenon_H148 ]. % 1.22/1.44 apply (zenon_L81_); trivial. % 1.22/1.44 apply (zenon_L940_); trivial. % 1.22/1.44 (* end of lemma zenon_L941_ *) % 1.22/1.44 assert (zenon_L942_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> (~(hskp25)) -> (~(c3_1 (a37))) -> (~(c0_1 (a37))) -> (ndr1_0) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c2_1 (a31)) -> (c0_1 (a31)) -> (~(c1_1 (a31))) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (~(c2_1 (a16))) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> False). % 1.22/1.44 do 0 intro. intros zenon_H1c1 zenon_H1c2 zenon_H12c zenon_H1cf zenon_H1ce zenon_H1a zenon_Hfc zenon_H33 zenon_H3c zenon_H32 zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_Heb zenon_Hea zenon_He9 zenon_H254 zenon_H255 zenon_H256 zenon_H1ee. % 1.22/1.44 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1be ]. % 1.22/1.44 apply (zenon_or_s _ _ zenon_H1ee); [ zenon_intro zenon_H1e7 | zenon_intro zenon_H1ef ]. % 1.22/1.44 apply (zenon_L167_); trivial. % 1.22/1.44 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H3b | zenon_intro zenon_H6d ]. % 1.22/1.44 apply (zenon_L700_); trivial. % 1.22/1.44 apply (zenon_L318_); trivial. % 1.22/1.44 apply (zenon_L696_); trivial. % 1.22/1.44 (* end of lemma zenon_L942_ *) % 1.22/1.44 assert (zenon_L943_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp19)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (~(c2_1 (a6))) -> (~(c1_1 (a31))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c0_1 (a31)) -> (c2_1 (a31)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (~(c2_1 (a16))) -> (ndr1_0) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> False). % 1.22/1.44 do 0 intro. intros zenon_H1da zenon_H167 zenon_H14a zenon_H144 zenon_H1ee zenon_H256 zenon_H255 zenon_H254 zenon_H32 zenon_H1c2 zenon_Hfc zenon_H3c zenon_H33 zenon_H1c6 zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_Heb zenon_Hea zenon_He9 zenon_H1a zenon_H1c1. % 1.22/1.44 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.22/1.44 apply (zenon_L697_); trivial. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H1a. zenon_intro zenon_H1d8. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1d0. zenon_intro zenon_H1d9. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1ce. zenon_intro zenon_H1cf. % 1.22/1.44 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H12c | zenon_intro zenon_H148 ]. % 1.22/1.44 apply (zenon_L942_); trivial. % 1.22/1.44 apply (zenon_L319_); trivial. % 1.22/1.44 (* end of lemma zenon_L943_ *) % 1.22/1.44 assert (zenon_L944_ : ((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp11)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> (~(c2_1 (a16))) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> False). % 1.22/1.44 do 0 intro. intros zenon_H9e zenon_H17b zenon_H93 zenon_H91 zenon_H1c1 zenon_He9 zenon_Hea zenon_Heb zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_H1c6 zenon_Hfc zenon_H1c2 zenon_H254 zenon_H255 zenon_H256 zenon_H1ee zenon_H14a zenon_H167 zenon_H1da. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.22/1.44 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.22/1.44 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.22/1.44 apply (zenon_L943_); trivial. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1a. zenon_intro zenon_H178. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H16a. zenon_intro zenon_H179. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H171. zenon_intro zenon_H168. % 1.22/1.44 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.22/1.44 apply (zenon_L697_); trivial. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H1a. zenon_intro zenon_H1d8. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1d0. zenon_intro zenon_H1d9. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1ce. zenon_intro zenon_H1cf. % 1.22/1.44 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H12c | zenon_intro zenon_H148 ]. % 1.22/1.44 apply (zenon_L942_); trivial. % 1.22/1.44 apply (zenon_L940_); trivial. % 1.22/1.44 (* end of lemma zenon_L944_ *) % 1.22/1.44 assert (zenon_L945_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (~(c2_1 (a16))) -> (~(hskp11)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (~(c2_1 (a6))) -> ((hskp25)\/((hskp17)\/(hskp21))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> (~(hskp10)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> (~(hskp1)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> False). % 1.22/1.44 do 0 intro. intros zenon_H9c zenon_H1c1 zenon_H1c6 zenon_H1c2 zenon_H1ee zenon_H1da zenon_H17b zenon_Hfc zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_Heb zenon_Hea zenon_He9 zenon_H91 zenon_H93 zenon_H167 zenon_H14a zenon_H256 zenon_H255 zenon_H254 zenon_H130 zenon_H12a zenon_H2d zenon_H43 zenon_H166 zenon_H162 zenon_Hde zenon_H177 zenon_H17a. % 1.22/1.44 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.22/1.44 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H128 | zenon_intro zenon_H17c ]. % 1.22/1.44 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.22/1.44 apply (zenon_L324_); trivial. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1a. zenon_intro zenon_H178. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H16a. zenon_intro zenon_H179. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H171. zenon_intro zenon_H168. % 1.22/1.44 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H12e | zenon_intro zenon_H161 ]. % 1.22/1.44 apply (zenon_L941_); trivial. % 1.22/1.44 apply (zenon_L323_); trivial. % 1.22/1.44 apply (zenon_L327_); trivial. % 1.22/1.44 apply (zenon_L944_); trivial. % 1.22/1.44 (* end of lemma zenon_L945_ *) % 1.22/1.44 assert (zenon_L946_ : ((~(hskp11))\/((ndr1_0)/\((c2_1 (a19))/\((~(c1_1 (a19)))/\(~(c3_1 (a19))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(hskp7)) -> (~(hskp7)) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> (~(hskp1)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> ((hskp25)\/((hskp17)\/(hskp21))) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(c2_1 (a16))) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> False). % 1.22/1.44 do 0 intro. intros zenon_H213 zenon_Hb7 zenon_H1 zenon_H17a zenon_H177 zenon_Hde zenon_H162 zenon_H166 zenon_H43 zenon_H2d zenon_H12a zenon_H130 zenon_H254 zenon_H255 zenon_H256 zenon_H14a zenon_H167 zenon_H93 zenon_He9 zenon_Hea zenon_Heb zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_Hfc zenon_H17b zenon_H1da zenon_H1ee zenon_H1c2 zenon_H1c6 zenon_H1c1 zenon_H9c. % 1.22/1.44 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H91 | zenon_intro zenon_He5 ]. % 1.22/1.44 apply (zenon_L945_); trivial. % 1.22/1.44 apply (zenon_L62_); trivial. % 1.22/1.44 (* end of lemma zenon_L946_ *) % 1.22/1.44 assert (zenon_L947_ : ((ndr1_0)/\((c0_1 (a16))/\((~(c2_1 (a16)))/\(~(c3_1 (a16)))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a18))/\((c2_1 (a18))/\(~(c3_1 (a18))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (~(c2_1 (a6))) -> ((hskp25)\/((hskp17)\/(hskp21))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> (~(hskp1)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> (~(hskp7)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(hskp7)) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a19))/\((~(c1_1 (a19)))/\(~(c3_1 (a19))))))) -> False). % 1.22/1.44 do 0 intro. intros zenon_H216 zenon_H212 zenon_Hd3 zenon_H95 zenon_H9c zenon_H1c1 zenon_H1c6 zenon_H1c2 zenon_H1ee zenon_H1da zenon_H17b zenon_Hfc zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_H93 zenon_H167 zenon_H14a zenon_H256 zenon_H255 zenon_H254 zenon_H130 zenon_H12a zenon_H43 zenon_H166 zenon_H162 zenon_Hde zenon_H177 zenon_H17a zenon_H1 zenon_Hb7 zenon_H213. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_H1a. zenon_intro zenon_H21a. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_Heb. zenon_intro zenon_H21b. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_He9. zenon_intro zenon_Hea. % 1.22/1.44 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H2d | zenon_intro zenon_H217 ]. % 1.22/1.44 apply (zenon_L946_); trivial. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H1a. zenon_intro zenon_H218. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_He0. zenon_intro zenon_H219. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_Hc2. zenon_intro zenon_Hc1. % 1.22/1.44 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H91 | zenon_intro zenon_He5 ]. % 1.22/1.44 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.22/1.44 apply (zenon_L392_); trivial. % 1.22/1.44 apply (zenon_L944_); trivial. % 1.22/1.44 apply (zenon_L62_); trivial. % 1.22/1.44 (* end of lemma zenon_L947_ *) % 1.22/1.44 assert (zenon_L948_ : ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> (~(c3_1 (a37))) -> (~(c0_1 (a37))) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V))))) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (c3_1 (a3)) -> (c2_1 (a3)) -> (c1_1 (a3)) -> (c3_1 (a10)) -> (c2_1 (a10)) -> (c0_1 (a10)) -> (ndr1_0) -> (~(hskp10)) -> False). % 1.22/1.44 do 0 intro. intros zenon_H1f0 zenon_H1cf zenon_H1ce zenon_H1e7 zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_H43 zenon_H1f zenon_H1e zenon_H1d zenon_H1b7 zenon_H1b6 zenon_H1b5 zenon_H1a zenon_H2d. % 1.22/1.44 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H1ab | zenon_intro zenon_H1f1 ]. % 1.22/1.44 apply (zenon_L166_); trivial. % 1.22/1.44 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H1c ]. % 1.22/1.44 apply (zenon_L687_); trivial. % 1.22/1.44 apply (zenon_L400_); trivial. % 1.22/1.44 (* end of lemma zenon_L948_ *) % 1.22/1.44 assert (zenon_L949_ : (~(hskp15)) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c3_1 (a14)) -> (~(c2_1 (a14))) -> (c0_1 (a10)) -> (c2_1 (a10)) -> (c3_1 (a10)) -> (c1_1 (a3)) -> (c2_1 (a3)) -> (c3_1 (a3)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp19)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (c0_1 (a31)) -> (c2_1 (a31)) -> (~(c1_1 (a31))) -> (ndr1_0) -> (forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10)))))) -> (~(hskp10)) -> False). % 1.22/1.44 do 0 intro. intros zenon_H146 zenon_H254 zenon_H255 zenon_H256 zenon_H14a zenon_H121 zenon_H11f zenon_H1b5 zenon_H1b6 zenon_H1b7 zenon_H1d zenon_H1e zenon_H1f zenon_H43 zenon_H144 zenon_H149 zenon_H3c zenon_H33 zenon_H32 zenon_H1a zenon_H3b zenon_H2d. % 1.22/1.44 apply (zenon_or_s _ _ zenon_H43); [ zenon_intro zenon_H1b | zenon_intro zenon_H47 ]. % 1.22/1.44 apply (zenon_L401_); trivial. % 1.22/1.44 apply (zenon_or_s _ _ zenon_H47); [ zenon_intro zenon_H31 | zenon_intro zenon_H2e ]. % 1.22/1.44 apply (zenon_L19_); trivial. % 1.22/1.44 exact (zenon_H2d zenon_H2e). % 1.22/1.44 (* end of lemma zenon_L949_ *) % 1.22/1.44 assert (zenon_L950_ : ((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> (~(c0_1 (a37))) -> (~(c3_1 (a37))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> (~(hskp10)) -> (~(c1_1 (a31))) -> (c2_1 (a31)) -> (c0_1 (a31)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (~(hskp19)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (c3_1 (a3)) -> (c2_1 (a3)) -> (c1_1 (a3)) -> (~(c2_1 (a14))) -> (c3_1 (a14)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp15)) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> False). % 1.22/1.44 do 0 intro. intros zenon_H1be zenon_H1ee zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_H1ce zenon_H1cf zenon_H1f0 zenon_H2d zenon_H32 zenon_H33 zenon_H3c zenon_H149 zenon_H144 zenon_H43 zenon_H1f zenon_H1e zenon_H1d zenon_H11f zenon_H121 zenon_H14a zenon_H146 zenon_H254 zenon_H255 zenon_H256. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H1a. zenon_intro zenon_H1bf. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H1bf). zenon_intro zenon_H1b5. zenon_intro zenon_H1c0. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H1c0). zenon_intro zenon_H1b6. zenon_intro zenon_H1b7. % 1.22/1.44 apply (zenon_or_s _ _ zenon_H1ee); [ zenon_intro zenon_H1e7 | zenon_intro zenon_H1ef ]. % 1.22/1.44 apply (zenon_L948_); trivial. % 1.22/1.44 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H3b | zenon_intro zenon_H6d ]. % 1.22/1.44 apply (zenon_L949_); trivial. % 1.22/1.44 apply (zenon_L318_); trivial. % 1.22/1.44 (* end of lemma zenon_L950_ *) % 1.22/1.44 assert (zenon_L951_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> (~(hskp25)) -> (~(c3_1 (a37))) -> (~(c0_1 (a37))) -> (ndr1_0) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp10)) -> (c0_1 (a31)) -> (c2_1 (a31)) -> (~(c1_1 (a31))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp19)) -> (c3_1 (a3)) -> (c2_1 (a3)) -> (c1_1 (a3)) -> (c3_1 (a14)) -> (~(c2_1 (a14))) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> (~(hskp15)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> False). % 1.22/1.44 do 0 intro. intros zenon_H1c1 zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_H1f0 zenon_H1c2 zenon_H12c zenon_H1cf zenon_H1ce zenon_H1a zenon_H43 zenon_H2d zenon_H3c zenon_H33 zenon_H32 zenon_H14a zenon_H144 zenon_H1f zenon_H1e zenon_H1d zenon_H121 zenon_H11f zenon_H254 zenon_H255 zenon_H256 zenon_H146 zenon_H149 zenon_H1ee. % 1.22/1.44 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1be ]. % 1.22/1.44 apply (zenon_L408_); trivial. % 1.22/1.44 apply (zenon_L950_); trivial. % 1.22/1.44 (* end of lemma zenon_L951_ *) % 1.22/1.44 assert (zenon_L952_ : ((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp6)\/(hskp10))) -> (~(hskp6)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (~(hskp15)) -> (~(c2_1 (a14))) -> (c3_1 (a14)) -> (~(hskp19)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(c1_1 (a31))) -> (c2_1 (a31)) -> (c0_1 (a31)) -> (~(hskp10)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> (~(hskp9)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((hskp9)\/(hskp24))) -> False). % 1.22/1.44 do 0 intro. intros zenon_H1d7 zenon_H48 zenon_H167 zenon_H2f zenon_H2b zenon_H1ee zenon_H149 zenon_H146 zenon_H11f zenon_H121 zenon_H144 zenon_H14a zenon_H32 zenon_H33 zenon_H3c zenon_H2d zenon_H43 zenon_H1c2 zenon_H1f0 zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_H1c1 zenon_H254 zenon_H255 zenon_H256 zenon_H3 zenon_H7b. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H1a. zenon_intro zenon_H1d8. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1d0. zenon_intro zenon_H1d9. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1ce. zenon_intro zenon_H1cf. % 1.22/1.44 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H11 | zenon_intro zenon_H41 ]. % 1.22/1.44 apply (zenon_L329_); trivial. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H1a. zenon_intro zenon_H44. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H1d. zenon_intro zenon_H45. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H1e. zenon_intro zenon_H1f. % 1.22/1.44 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H12c | zenon_intro zenon_H148 ]. % 1.22/1.44 apply (zenon_L951_); trivial. % 1.22/1.44 apply (zenon_L506_); trivial. % 1.22/1.44 (* end of lemma zenon_L952_ *) % 1.22/1.44 assert (zenon_L953_ : ((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> (c0_1 (a25)) -> (~(c3_1 (a25))) -> (~(hskp11)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (~(c2_1 (a6))) -> (~(hskp17)) -> ((hskp25)\/((hskp17)\/(hskp21))) -> (~(hskp1)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> False). % 1.22/1.44 do 0 intro. intros zenon_H17c zenon_H17b zenon_Hfc zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_H18f zenon_H18e zenon_H91 zenon_H93 zenon_H167 zenon_H14a zenon_H256 zenon_H255 zenon_H254 zenon_H9 zenon_H130 zenon_Hde zenon_H162 zenon_H166. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H17c). zenon_intro zenon_H1a. zenon_intro zenon_H17d. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H14f. zenon_intro zenon_H17e. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_H150. zenon_intro zenon_H151. % 1.22/1.44 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.22/1.44 apply (zenon_L326_); trivial. % 1.22/1.44 apply (zenon_L915_); trivial. % 1.22/1.44 (* end of lemma zenon_L953_ *) % 1.22/1.44 assert (zenon_L954_ : ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> (c0_1 (a25)) -> (~(c3_1 (a25))) -> (~(hskp11)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (~(c2_1 (a6))) -> ((hskp25)\/((hskp17)\/(hskp21))) -> (~(hskp1)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> (ndr1_0) -> (~(c2_1 (a14))) -> (c0_1 (a14)) -> (c3_1 (a14)) -> (~(hskp17)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> False). % 1.22/1.44 do 0 intro. intros zenon_H17a zenon_H17b zenon_Hfc zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_H18f zenon_H18e zenon_H91 zenon_H93 zenon_H167 zenon_H14a zenon_H256 zenon_H255 zenon_H254 zenon_H130 zenon_Hde zenon_H162 zenon_H166 zenon_H1a zenon_H11f zenon_H120 zenon_H121 zenon_H9 zenon_H12a. % 1.22/1.44 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H128 | zenon_intro zenon_H17c ]. % 1.22/1.44 apply (zenon_L78_); trivial. % 1.22/1.44 apply (zenon_L953_); trivial. % 1.22/1.44 (* end of lemma zenon_L954_ *) % 1.22/1.44 assert (zenon_L955_ : ((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((hskp9)\/(hskp24))) -> (~(hskp9)) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (~(c2_1 (a6))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> (c0_1 (a25)) -> (~(c3_1 (a25))) -> (~(hskp11)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> False). % 1.22/1.44 do 0 intro. intros zenon_H9e zenon_H17b zenon_H7b zenon_H3 zenon_H256 zenon_H255 zenon_H254 zenon_H14a zenon_Hfc zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_H18f zenon_H18e zenon_H91 zenon_H93 zenon_H48. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.22/1.44 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.22/1.44 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.22/1.44 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H11 | zenon_intro zenon_H41 ]. % 1.22/1.44 apply (zenon_L329_); trivial. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H1a. zenon_intro zenon_H44. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H1d. zenon_intro zenon_H45. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H1e. zenon_intro zenon_H1f. % 1.22/1.44 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H49 | zenon_intro zenon_H94 ]. % 1.22/1.44 apply (zenon_L426_); trivial. % 1.22/1.44 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H8e | zenon_intro zenon_H92 ]. % 1.22/1.44 apply (zenon_L726_); trivial. % 1.22/1.44 exact (zenon_H91 zenon_H92). % 1.22/1.44 apply (zenon_L814_); trivial. % 1.22/1.44 (* end of lemma zenon_L955_ *) % 1.22/1.44 assert (zenon_L956_ : ((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(~(c3_1 (a25)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((hskp9)\/(hskp24))) -> (~(hskp9)) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> (c3_1 (a14)) -> (c0_1 (a14)) -> (~(c2_1 (a14))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> (~(hskp1)) -> ((hskp25)\/((hskp17)\/(hskp21))) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp11)) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> False). % 1.22/1.44 do 0 intro. intros zenon_H19f zenon_H9c zenon_H7b zenon_H3 zenon_H48 zenon_H12a zenon_H121 zenon_H120 zenon_H11f zenon_H166 zenon_H162 zenon_Hde zenon_H130 zenon_H254 zenon_H255 zenon_H256 zenon_H14a zenon_H167 zenon_H93 zenon_H91 zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_Hfc zenon_H17b zenon_H17a. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H1a. zenon_intro zenon_H1a0. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H18f. zenon_intro zenon_H1a1. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H19a. zenon_intro zenon_H18e. % 1.22/1.44 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.22/1.44 apply (zenon_L954_); trivial. % 1.22/1.44 apply (zenon_L955_); trivial. % 1.22/1.44 (* end of lemma zenon_L956_ *) % 1.22/1.44 assert (zenon_L957_ : ((~(hskp13))\/((ndr1_0)/\((~(c0_1 (a22)))/\((~(c2_1 (a22)))/\(~(c3_1 (a22))))))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(hskp0))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/(hskp13))) -> (~(hskp11)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> (~(hskp10)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp9)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((hskp9)\/(hskp24))) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> (~(hskp6)) -> ((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp6)\/(hskp10))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> (c3_1 (a14)) -> (c0_1 (a14)) -> (~(c2_1 (a14))) -> (ndr1_0) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> (~(hskp1)) -> ((hskp25)\/((hskp17)\/(hskp21))) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(~(c3_1 (a25))))))) -> False). % 1.22/1.44 do 0 intro. intros zenon_H287 zenon_H15 zenon_H63 zenon_H9c zenon_H95 zenon_Hfc zenon_H48 zenon_H1c1 zenon_H247 zenon_H91 zenon_H93 zenon_H149 zenon_H1c6 zenon_H2d zenon_H43 zenon_H3 zenon_H7b zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_H1f0 zenon_H1c2 zenon_H1ee zenon_H2b zenon_H2f zenon_H1da zenon_H12a zenon_H121 zenon_H120 zenon_H11f zenon_H1a zenon_H166 zenon_H162 zenon_Hde zenon_H130 zenon_H254 zenon_H255 zenon_H256 zenon_H14a zenon_H167 zenon_H177 zenon_H17b zenon_H17a zenon_H1a2. % 1.22/1.44 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H5 | zenon_intro zenon_H284 ]. % 1.22/1.44 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H146 | zenon_intro zenon_H19f ]. % 1.22/1.44 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.22/1.44 apply (zenon_L411_); trivial. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.22/1.44 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.22/1.44 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.22/1.44 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.22/1.44 apply (zenon_L406_); trivial. % 1.22/1.44 apply (zenon_L952_); trivial. % 1.22/1.44 apply (zenon_L724_); trivial. % 1.22/1.44 apply (zenon_L956_); trivial. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H284). zenon_intro zenon_H1a. zenon_intro zenon_H285. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_H80. zenon_intro zenon_H286. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H286). zenon_intro zenon_H89. zenon_intro zenon_H81. % 1.22/1.44 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H146 | zenon_intro zenon_H19f ]. % 1.22/1.44 apply (zenon_L415_); trivial. % 1.22/1.44 apply (zenon_L956_); trivial. % 1.22/1.44 (* end of lemma zenon_L957_ *) % 1.22/1.44 assert (zenon_L958_ : ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> (c2_1 (a19)) -> (~(c1_1 (a19))) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6)))))) -> (~(c3_1 (a19))) -> (ndr1_0) -> (~(hskp26)) -> (~(hskp20)) -> False). % 1.22/1.44 do 0 intro. intros zenon_H1c6 zenon_Hb0 zenon_Hae zenon_H65 zenon_Haf zenon_H1a zenon_H1b3 zenon_H1c4. % 1.22/1.44 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H8e | zenon_intro zenon_H1c7 ]. % 1.22/1.44 generalize (zenon_H8e (a19)). zenon_intro zenon_H1c8. % 1.22/1.44 apply (zenon_imply_s _ _ zenon_H1c8); [ zenon_intro zenon_H19 | zenon_intro zenon_H1c9 ]. % 1.22/1.44 exact (zenon_H19 zenon_H1a). % 1.22/1.44 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H1ca ]. % 1.22/1.44 exact (zenon_Haf zenon_Hb6). % 1.22/1.44 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1b2 | zenon_intro zenon_Hb5 ]. % 1.22/1.44 generalize (zenon_H65 (a19)). zenon_intro zenon_H2d4. % 1.22/1.44 apply (zenon_imply_s _ _ zenon_H2d4); [ zenon_intro zenon_H19 | zenon_intro zenon_H2d5 ]. % 1.22/1.44 exact (zenon_H19 zenon_H1a). % 1.22/1.44 apply (zenon_or_s _ _ zenon_H2d5); [ zenon_intro zenon_H1ae | zenon_intro zenon_H2d6 ]. % 1.22/1.44 exact (zenon_H1b2 zenon_H1ae). % 1.22/1.44 apply (zenon_or_s _ _ zenon_H2d6); [ zenon_intro zenon_Hb4 | zenon_intro zenon_Hb5 ]. % 1.22/1.44 exact (zenon_Hae zenon_Hb4). % 1.22/1.44 exact (zenon_Hb5 zenon_Hb0). % 1.22/1.44 exact (zenon_Hb5 zenon_Hb0). % 1.22/1.44 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H1b4 | zenon_intro zenon_H1c5 ]. % 1.22/1.44 exact (zenon_H1b3 zenon_H1b4). % 1.22/1.44 exact (zenon_H1c4 zenon_H1c5). % 1.22/1.44 (* end of lemma zenon_L958_ *) % 1.22/1.44 assert (zenon_L959_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> (~(hskp20)) -> (c2_1 (a19)) -> (~(c1_1 (a19))) -> (~(c3_1 (a19))) -> (ndr1_0) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> (~(hskp25)) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11)))))))) -> False). % 1.22/1.44 do 0 intro. intros zenon_H1c1 zenon_Hd3 zenon_H1c6 zenon_H1c4 zenon_Hb0 zenon_Hae zenon_Haf zenon_H1a zenon_H1c2 zenon_H12c zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_H1e0. % 1.22/1.44 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1be ]. % 1.22/1.44 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H65 | zenon_intro zenon_H1e1 ]. % 1.22/1.44 apply (zenon_L958_); trivial. % 1.22/1.44 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H3b | zenon_intro zenon_Hf3 ]. % 1.22/1.44 apply (zenon_L168_); trivial. % 1.22/1.44 apply (zenon_L687_); trivial. % 1.22/1.44 apply (zenon_L134_); trivial. % 1.22/1.44 (* end of lemma zenon_L959_ *) % 1.22/1.44 assert (zenon_L960_ : ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (~(hskp15)) -> (c0_1 (a14)) -> (~(c2_1 (a14))) -> (c3_1 (a14)) -> (~(hskp19)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11)))))))) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> (ndr1_0) -> (~(c3_1 (a19))) -> (~(c1_1 (a19))) -> (c2_1 (a19)) -> (~(hskp20)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> False). % 1.22/1.44 do 0 intro. intros zenon_H167 zenon_H149 zenon_H146 zenon_H120 zenon_H11f zenon_H121 zenon_H144 zenon_H14a zenon_H1e0 zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_H1c2 zenon_H1a zenon_Haf zenon_Hae zenon_Hb0 zenon_H1c4 zenon_H1c6 zenon_Hd3 zenon_H1c1. % 1.22/1.44 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H12c | zenon_intro zenon_H148 ]. % 1.22/1.44 apply (zenon_L959_); trivial. % 1.22/1.44 apply (zenon_L86_); trivial. % 1.22/1.44 (* end of lemma zenon_L960_ *) % 1.22/1.44 assert (zenon_L961_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a11))/\((c1_1 (a11))/\(c3_1 (a11)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp27)\/(hskp26))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11)))))))) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> (~(c3_1 (a19))) -> (~(c1_1 (a19))) -> (c2_1 (a19)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((hskp9)\/(hskp24))) -> (~(hskp9)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp10)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> (~(hskp6)) -> ((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp6)\/(hskp10))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> (c3_1 (a14)) -> (c0_1 (a14)) -> (~(c2_1 (a14))) -> (ndr1_0) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> (~(hskp1)) -> ((hskp25)\/((hskp17)\/(hskp21))) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> False). % 1.22/1.44 do 0 intro. intros zenon_H9c zenon_H97 zenon_H1f2 zenon_H95 zenon_H149 zenon_H146 zenon_H1e0 zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_H1c2 zenon_Haf zenon_Hae zenon_Hb0 zenon_H1c6 zenon_Hd3 zenon_H1c1 zenon_H7b zenon_H3 zenon_H1f0 zenon_H43 zenon_H2d zenon_H1ee zenon_H2b zenon_H2f zenon_H48 zenon_H1da zenon_H12a zenon_H121 zenon_H120 zenon_H11f zenon_H1a zenon_H166 zenon_H162 zenon_Hde zenon_H130 zenon_H254 zenon_H255 zenon_H256 zenon_H14a zenon_H167 zenon_H177 zenon_H17b zenon_H17a. % 1.22/1.44 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.22/1.44 apply (zenon_L411_); trivial. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.22/1.44 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.22/1.44 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.22/1.44 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.22/1.44 apply (zenon_L960_); trivial. % 1.22/1.44 apply (zenon_L952_); trivial. % 1.22/1.44 apply (zenon_L937_); trivial. % 1.22/1.44 (* end of lemma zenon_L961_ *) % 1.22/1.44 assert (zenon_L962_ : ((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp19)) -> (~(c1_1 (a31))) -> (c2_1 (a31)) -> (c0_1 (a31)) -> (~(hskp10)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> (~(c1_1 (a19))) -> (~(c3_1 (a19))) -> (c2_1 (a19)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> (~(hskp9)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((hskp9)\/(hskp24))) -> False). % 1.22/1.44 do 0 intro. intros zenon_H1d7 zenon_H48 zenon_H167 zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_H1f0 zenon_H1ee zenon_H14a zenon_H144 zenon_H32 zenon_H33 zenon_H3c zenon_H2d zenon_H43 zenon_H1c2 zenon_Hae zenon_Haf zenon_Hb0 zenon_Hd3 zenon_H1c1 zenon_H254 zenon_H255 zenon_H256 zenon_H3 zenon_H7b. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H1a. zenon_intro zenon_H1d8. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1d0. zenon_intro zenon_H1d9. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1ce. zenon_intro zenon_H1cf. % 1.22/1.44 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H11 | zenon_intro zenon_H41 ]. % 1.22/1.44 apply (zenon_L329_); trivial. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H1a. zenon_intro zenon_H44. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H1d. zenon_intro zenon_H45. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H1e. zenon_intro zenon_H1f. % 1.22/1.44 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H12c | zenon_intro zenon_H148 ]. % 1.22/1.44 apply (zenon_L417_); trivial. % 1.22/1.44 apply (zenon_L935_); trivial. % 1.22/1.44 (* end of lemma zenon_L962_ *) % 1.22/1.44 assert (zenon_L963_ : ((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (~(c2_1 (a6))) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a11))/\((c1_1 (a11))/\(c3_1 (a11)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp27)\/(hskp26))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> (c2_1 (a19)) -> (~(c1_1 (a19))) -> (~(c3_1 (a19))) -> (~(c3_1 (a25))) -> (c0_1 (a25)) -> (c1_1 (a25)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp24))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> False). % 1.22/1.44 do 0 intro. intros zenon_H176 zenon_H1da zenon_H167 zenon_H256 zenon_H255 zenon_H254 zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_H1f0 zenon_H97 zenon_H1ee zenon_H1c2 zenon_H1f2 zenon_H95 zenon_H1c1 zenon_Hd3 zenon_H1c6 zenon_Hb0 zenon_Hae zenon_Haf zenon_H18e zenon_H18f zenon_H19a zenon_H1f8 zenon_H177 zenon_H48. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1a. zenon_intro zenon_H178. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H16a. zenon_intro zenon_H179. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H171. zenon_intro zenon_H168. % 1.22/1.44 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.22/1.44 apply (zenon_L661_); trivial. % 1.22/1.44 apply (zenon_L936_); trivial. % 1.22/1.44 (* end of lemma zenon_L963_ *) % 1.22/1.44 assert (zenon_L964_ : ((ndr1_0)/\((c2_1 (a19))/\((~(c1_1 (a19)))/\(~(c3_1 (a19)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(~(c3_1 (a25))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp24))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (~(c2_1 (a6))) -> ((hskp25)\/((hskp17)\/(hskp21))) -> (~(hskp1)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> (~(c2_1 (a14))) -> (c0_1 (a14)) -> (c3_1 (a14)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp6)\/(hskp10))) -> (~(hskp6)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> (~(hskp10)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> (~(hskp9)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((hskp9)\/(hskp24))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp27)\/(hskp26))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a11))/\((c1_1 (a11))/\(c3_1 (a11)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> False). % 1.22/1.44 do 0 intro. intros zenon_He5 zenon_H1a2 zenon_H1f8 zenon_H17a zenon_H17b zenon_H177 zenon_H167 zenon_H14a zenon_H256 zenon_H255 zenon_H254 zenon_H130 zenon_Hde zenon_H162 zenon_H166 zenon_H11f zenon_H120 zenon_H121 zenon_H12a zenon_H1da zenon_H48 zenon_H2f zenon_H2b zenon_H1ee zenon_H2d zenon_H43 zenon_H1f0 zenon_H3 zenon_H7b zenon_H1c1 zenon_Hd3 zenon_H1c6 zenon_H1c2 zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_H1e0 zenon_H149 zenon_H95 zenon_H1f2 zenon_H97 zenon_H9c. % 1.22/1.44 apply (zenon_and_s _ _ zenon_He5). zenon_intro zenon_H1a. zenon_intro zenon_He6. % 1.22/1.44 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_Hb0. zenon_intro zenon_He7. % 1.22/1.44 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hae. zenon_intro zenon_Haf. % 1.22/1.44 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H146 | zenon_intro zenon_H19f ]. % 1.22/1.44 apply (zenon_L961_); trivial. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H1a. zenon_intro zenon_H1a0. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H18f. zenon_intro zenon_H1a1. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H19a. zenon_intro zenon_H18e. % 1.22/1.44 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.22/1.44 apply (zenon_L191_); trivial. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.22/1.44 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.22/1.44 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.22/1.44 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.22/1.44 apply (zenon_L346_); trivial. % 1.22/1.44 apply (zenon_L962_); trivial. % 1.22/1.44 apply (zenon_L963_); trivial. % 1.22/1.44 (* end of lemma zenon_L964_ *) % 1.22/1.44 assert (zenon_L965_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp11)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> (~(c2_1 (a16))) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> (c3_1 (a14)) -> (c0_1 (a14)) -> (~(c2_1 (a14))) -> (ndr1_0) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> (~(hskp1)) -> ((hskp25)\/((hskp17)\/(hskp21))) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> False). % 1.22/1.44 do 0 intro. intros zenon_H9c zenon_H93 zenon_H91 zenon_H1c1 zenon_He9 zenon_Hea zenon_Heb zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_H1c6 zenon_Hfc zenon_H1c2 zenon_H1ee zenon_H1da zenon_H12a zenon_H121 zenon_H120 zenon_H11f zenon_H1a zenon_H166 zenon_H162 zenon_Hde zenon_H130 zenon_H254 zenon_H255 zenon_H256 zenon_H14a zenon_H167 zenon_H177 zenon_H17b zenon_H17a. % 1.22/1.44 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.22/1.44 apply (zenon_L411_); trivial. % 1.22/1.44 apply (zenon_L944_); trivial. % 1.22/1.44 (* end of lemma zenon_L965_ *) % 1.22/1.44 assert (zenon_L966_ : ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (~(c2_1 (a6))) -> (~(c1_1 (a19))) -> (~(c3_1 (a19))) -> (c2_1 (a19)) -> (~(c0_1 (a37))) -> (~(c3_1 (a37))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> (forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10)))))) -> (ndr1_0) -> (c0_1 (a18)) -> (c2_1 (a18)) -> (~(c3_1 (a18))) -> False). % 1.22/1.44 do 0 intro. intros zenon_H1f0 zenon_H256 zenon_H255 zenon_H254 zenon_Hae zenon_Haf zenon_Hb0 zenon_H1ce zenon_H1cf zenon_H1ee zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_H3b zenon_H1a zenon_He0 zenon_Hc2 zenon_Hc1. % 1.22/1.44 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H1ab | zenon_intro zenon_H1f1 ]. % 1.22/1.44 apply (zenon_L432_); trivial. % 1.22/1.44 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H1c ]. % 1.22/1.44 apply (zenon_L687_); trivial. % 1.22/1.44 apply (zenon_L150_); trivial. % 1.22/1.44 (* end of lemma zenon_L966_ *) % 1.22/1.44 assert (zenon_L967_ : ((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9))))) -> (~(c3_1 (a18))) -> (c2_1 (a18)) -> (c0_1 (a18)) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> (~(c3_1 (a37))) -> (~(c0_1 (a37))) -> (c2_1 (a19)) -> (~(c3_1 (a19))) -> (~(c1_1 (a19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> False). % 1.22/1.44 do 0 intro. intros zenon_H148 zenon_Hc1 zenon_Hc2 zenon_He0 zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_H1ee zenon_H1cf zenon_H1ce zenon_Hb0 zenon_Haf zenon_Hae zenon_H1f0 zenon_H254 zenon_H255 zenon_H256. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H1a. zenon_intro zenon_H14b. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H13b. zenon_intro zenon_H14c. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H14c). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 1.22/1.44 apply (zenon_or_s _ _ zenon_H1ee); [ zenon_intro zenon_H1e7 | zenon_intro zenon_H1ef ]. % 1.22/1.44 apply (zenon_L751_); trivial. % 1.22/1.44 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H3b | zenon_intro zenon_H6d ]. % 1.22/1.44 apply (zenon_L966_); trivial. % 1.22/1.44 apply (zenon_L318_); trivial. % 1.22/1.44 (* end of lemma zenon_L967_ *) % 1.22/1.44 assert (zenon_L968_ : ((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (~(c2_1 (a6))) -> (~(c2_1 (a16))) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> (c2_1 (a18)) -> (c0_1 (a18)) -> (~(c3_1 (a18))) -> (~(c1_1 (a19))) -> (~(c3_1 (a19))) -> (c2_1 (a19)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> False). % 1.22/1.44 do 0 intro. intros zenon_H9e zenon_H1da zenon_H167 zenon_H1f0 zenon_H1ee zenon_H256 zenon_H255 zenon_H254 zenon_He9 zenon_Hea zenon_Heb zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_Hfc zenon_H1c2 zenon_H1c6 zenon_Hc2 zenon_He0 zenon_Hc1 zenon_Hae zenon_Haf zenon_Hb0 zenon_Hd3 zenon_H1c1. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.22/1.44 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.22/1.44 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.22/1.44 apply (zenon_L279_); trivial. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H1a. zenon_intro zenon_H1d8. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1d0. zenon_intro zenon_H1d9. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1ce. zenon_intro zenon_H1cf. % 1.22/1.44 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H12c | zenon_intro zenon_H148 ]. % 1.22/1.44 apply (zenon_L942_); trivial. % 1.22/1.44 apply (zenon_L967_); trivial. % 1.22/1.44 (* end of lemma zenon_L968_ *) % 1.22/1.44 assert (zenon_L969_ : ((ndr1_0)/\((c0_1 (a18))/\((c2_1 (a18))/\(~(c3_1 (a18)))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a19))/\((~(c1_1 (a19)))/\(~(c3_1 (a19))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (~(c2_1 (a6))) -> ((hskp25)\/((hskp17)\/(hskp21))) -> (~(hskp1)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> (~(c2_1 (a14))) -> (c0_1 (a14)) -> (c3_1 (a14)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (~(c2_1 (a16))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> False). % 1.22/1.44 do 0 intro. intros zenon_H217 zenon_H213 zenon_H1f0 zenon_Hd3 zenon_H17a zenon_H17b zenon_H177 zenon_H167 zenon_H14a zenon_H256 zenon_H255 zenon_H254 zenon_H130 zenon_Hde zenon_H162 zenon_H166 zenon_H11f zenon_H120 zenon_H121 zenon_H12a zenon_H1da zenon_H1ee zenon_H1c2 zenon_Hfc zenon_H1c6 zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_Heb zenon_Hea zenon_He9 zenon_H1c1 zenon_H93 zenon_H9c. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H1a. zenon_intro zenon_H218. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_He0. zenon_intro zenon_H219. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_Hc2. zenon_intro zenon_Hc1. % 1.22/1.44 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H91 | zenon_intro zenon_He5 ]. % 1.22/1.44 apply (zenon_L965_); trivial. % 1.22/1.44 apply (zenon_and_s _ _ zenon_He5). zenon_intro zenon_H1a. zenon_intro zenon_He6. % 1.22/1.44 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_Hb0. zenon_intro zenon_He7. % 1.22/1.44 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hae. zenon_intro zenon_Haf. % 1.22/1.44 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.22/1.44 apply (zenon_L411_); trivial. % 1.22/1.44 apply (zenon_L968_); trivial. % 1.22/1.44 (* end of lemma zenon_L969_ *) % 1.22/1.44 assert (zenon_L970_ : ((ndr1_0)/\((c0_1 (a16))/\((~(c2_1 (a16)))/\(~(c3_1 (a16)))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a18))/\((c2_1 (a18))/\(~(c3_1 (a18))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (~(c2_1 (a6))) -> ((hskp25)\/((hskp17)\/(hskp21))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> (~(hskp1)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> (~(c2_1 (a14))) -> (c0_1 (a14)) -> (c3_1 (a14)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp27)\/(hskp26))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a11))/\((c1_1 (a11))/\(c3_1 (a11)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a19))/\((~(c1_1 (a19)))/\(~(c3_1 (a19))))))) -> False). % 1.22/1.44 do 0 intro. intros zenon_H216 zenon_H212 zenon_H9c zenon_H1c1 zenon_H1c6 zenon_H1c2 zenon_H1ee zenon_H1da zenon_H17b zenon_Hfc zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_H93 zenon_H167 zenon_H14a zenon_H256 zenon_H255 zenon_H254 zenon_H130 zenon_H12a zenon_H43 zenon_H166 zenon_H162 zenon_Hde zenon_H177 zenon_H17a zenon_H11f zenon_H120 zenon_H121 zenon_H95 zenon_H1f2 zenon_Hd3 zenon_H97 zenon_H1f0 zenon_H213. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_H1a. zenon_intro zenon_H21a. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_Heb. zenon_intro zenon_H21b. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_He9. zenon_intro zenon_Hea. % 1.22/1.44 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H2d | zenon_intro zenon_H217 ]. % 1.22/1.44 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H91 | zenon_intro zenon_He5 ]. % 1.22/1.44 apply (zenon_L945_); trivial. % 1.22/1.44 apply (zenon_and_s _ _ zenon_He5). zenon_intro zenon_H1a. zenon_intro zenon_He6. % 1.22/1.44 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_Hb0. zenon_intro zenon_He7. % 1.22/1.44 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hae. zenon_intro zenon_Haf. % 1.22/1.44 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.22/1.44 apply (zenon_L411_); trivial. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.22/1.44 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.22/1.44 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.22/1.44 apply (zenon_L943_); trivial. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1a. zenon_intro zenon_H178. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H16a. zenon_intro zenon_H179. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H171. zenon_intro zenon_H168. % 1.22/1.44 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.22/1.44 apply (zenon_L697_); trivial. % 1.22/1.44 apply (zenon_L936_); trivial. % 1.22/1.44 apply (zenon_L969_); trivial. % 1.22/1.44 (* end of lemma zenon_L970_ *) % 1.22/1.44 assert (zenon_L971_ : ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> (~(hskp1)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> ((hskp25)\/((hskp17)\/(hskp21))) -> (~(hskp17)) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> (c0_1 (a8)) -> (~(c2_1 (a8))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> False). % 1.22/1.44 do 0 intro. intros zenon_H17a zenon_H177 zenon_Hde zenon_H162 zenon_H166 zenon_H43 zenon_H2d zenon_H12a zenon_H130 zenon_H9 zenon_H254 zenon_H255 zenon_H256 zenon_H14a zenon_H167 zenon_H93 zenon_H91 zenon_Hfc zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_H228 zenon_H21f zenon_H17b. % 1.22/1.44 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H128 | zenon_intro zenon_H17c ]. % 1.22/1.44 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.22/1.44 apply (zenon_L324_); trivial. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1a. zenon_intro zenon_H178. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H16a. zenon_intro zenon_H179. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H171. zenon_intro zenon_H168. % 1.22/1.44 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H12e | zenon_intro zenon_H161 ]. % 1.22/1.44 apply (zenon_L808_); trivial. % 1.22/1.44 apply (zenon_L323_); trivial. % 1.22/1.44 apply (zenon_L327_); trivial. % 1.22/1.44 (* end of lemma zenon_L971_ *) % 1.22/1.44 assert (zenon_L972_ : ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> (c2_1 (a31)) -> (c0_1 (a31)) -> (ndr1_0) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c0_1 (a8)) -> (c1_1 (a8)) -> (~(c2_1 (a8))) -> (c3_1 (a3)) -> (c2_1 (a3)) -> (c1_1 (a3)) -> (forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32)))))) -> (~(hskp19)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(hskp11)) -> False). % 1.22/1.44 do 0 intro. intros zenon_H93 zenon_H254 zenon_H255 zenon_H256 zenon_H33 zenon_H3c zenon_H1a zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_H14a zenon_H228 zenon_H220 zenon_H21f zenon_H1f zenon_H1e zenon_H1d zenon_H1b zenon_H144 zenon_Hfc zenon_H91. % 1.22/1.44 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H49 | zenon_intro zenon_H94 ]. % 1.22/1.44 apply (zenon_L426_); trivial. % 1.22/1.44 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H8e | zenon_intro zenon_H92 ]. % 1.22/1.44 apply (zenon_L768_); trivial. % 1.22/1.44 exact (zenon_H91 zenon_H92). % 1.22/1.44 (* end of lemma zenon_L972_ *) % 1.22/1.44 assert (zenon_L973_ : ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp11)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(hskp19)) -> (c1_1 (a3)) -> (c2_1 (a3)) -> (c3_1 (a3)) -> (~(c2_1 (a8))) -> (c1_1 (a8)) -> (c0_1 (a8)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (~(c2_1 (a6))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (c0_1 (a31)) -> (c2_1 (a31)) -> (~(c1_1 (a31))) -> (ndr1_0) -> (forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10)))))) -> (~(hskp10)) -> False). % 1.22/1.44 do 0 intro. intros zenon_H43 zenon_H91 zenon_Hfc zenon_H144 zenon_H1d zenon_H1e zenon_H1f zenon_H21f zenon_H220 zenon_H228 zenon_H14a zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_H256 zenon_H255 zenon_H254 zenon_H93 zenon_H3c zenon_H33 zenon_H32 zenon_H1a zenon_H3b zenon_H2d. % 1.22/1.44 apply (zenon_or_s _ _ zenon_H43); [ zenon_intro zenon_H1b | zenon_intro zenon_H47 ]. % 1.22/1.44 apply (zenon_L972_); trivial. % 1.22/1.44 apply (zenon_or_s _ _ zenon_H47); [ zenon_intro zenon_H31 | zenon_intro zenon_H2e ]. % 1.22/1.44 apply (zenon_L19_); trivial. % 1.22/1.44 exact (zenon_H2d zenon_H2e). % 1.22/1.44 (* end of lemma zenon_L973_ *) % 1.22/1.44 assert (zenon_L974_ : ((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> (~(c3_1 (a22))) -> (~(c2_1 (a22))) -> (~(c0_1 (a22))) -> (~(hskp10)) -> (~(c1_1 (a31))) -> (c2_1 (a31)) -> (c0_1 (a31)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c0_1 (a8)) -> (c1_1 (a8)) -> (~(c2_1 (a8))) -> (~(hskp19)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(hskp11)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> False). % 1.22/1.44 do 0 intro. intros zenon_H41 zenon_H1ee zenon_H81 zenon_H89 zenon_H80 zenon_H2d zenon_H32 zenon_H33 zenon_H3c zenon_H93 zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_H14a zenon_H228 zenon_H220 zenon_H21f zenon_H144 zenon_Hfc zenon_H91 zenon_H43 zenon_H254 zenon_H255 zenon_H256. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H1a. zenon_intro zenon_H44. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H1d. zenon_intro zenon_H45. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H1e. zenon_intro zenon_H1f. % 1.22/1.44 apply (zenon_or_s _ _ zenon_H1ee); [ zenon_intro zenon_H1e7 | zenon_intro zenon_H1ef ]. % 1.22/1.44 apply (zenon_L221_); trivial. % 1.22/1.44 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H3b | zenon_intro zenon_H6d ]. % 1.22/1.44 apply (zenon_L973_); trivial. % 1.22/1.44 apply (zenon_L318_); trivial. % 1.22/1.44 (* end of lemma zenon_L974_ *) % 1.22/1.44 assert (zenon_L975_ : ((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((hskp9)\/(hskp24))) -> (~(hskp9)) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (~(c2_1 (a6))) -> (~(c0_1 (a22))) -> (~(c2_1 (a22))) -> (~(c3_1 (a22))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> (~(c2_1 (a8))) -> (c1_1 (a8)) -> (c0_1 (a8)) -> (~(hskp11)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> False). % 1.22/1.44 do 0 intro. intros zenon_H9e zenon_H17b zenon_H63 zenon_H15 zenon_H95 zenon_H7b zenon_H3 zenon_H256 zenon_H255 zenon_H254 zenon_H80 zenon_H89 zenon_H81 zenon_H43 zenon_H2d zenon_H14a zenon_Hfc zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_H21f zenon_H220 zenon_H228 zenon_H91 zenon_H93 zenon_H1ee zenon_H48. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.22/1.44 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.22/1.44 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.22/1.44 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H11 | zenon_intro zenon_H41 ]. % 1.22/1.44 apply (zenon_L329_); trivial. % 1.22/1.44 apply (zenon_L974_); trivial. % 1.22/1.44 apply (zenon_L335_); trivial. % 1.22/1.44 (* end of lemma zenon_L975_ *) % 1.22/1.44 assert (zenon_L976_ : ((ndr1_0)/\((~(c0_1 (a22)))/\((~(c2_1 (a22)))/\(~(c3_1 (a22)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((hskp9)\/(hskp24))) -> (~(hskp9)) -> (c1_1 (a8)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> (~(c2_1 (a8))) -> (c0_1 (a8)) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(hskp11)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (~(c2_1 (a6))) -> ((hskp25)\/((hskp17)\/(hskp21))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> (~(hskp10)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> (~(hskp1)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> False). % 1.22/1.44 do 0 intro. intros zenon_H284 zenon_H9c zenon_H63 zenon_H15 zenon_H95 zenon_H7b zenon_H3 zenon_H220 zenon_H1ee zenon_H48 zenon_H17b zenon_H21f zenon_H228 zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_Hfc zenon_H91 zenon_H93 zenon_H167 zenon_H14a zenon_H256 zenon_H255 zenon_H254 zenon_H130 zenon_H12a zenon_H2d zenon_H43 zenon_H166 zenon_H162 zenon_Hde zenon_H177 zenon_H17a. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H284). zenon_intro zenon_H1a. zenon_intro zenon_H285. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_H80. zenon_intro zenon_H286. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H286). zenon_intro zenon_H89. zenon_intro zenon_H81. % 1.22/1.44 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.22/1.44 apply (zenon_L971_); trivial. % 1.22/1.44 apply (zenon_L975_); trivial. % 1.22/1.44 (* end of lemma zenon_L976_ *) % 1.22/1.44 assert (zenon_L977_ : ((~(hskp13))\/((ndr1_0)/\((~(c0_1 (a22)))/\((~(c2_1 (a22)))/\(~(c3_1 (a22))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((hskp9)\/(hskp24))) -> (c1_1 (a8)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> (~(c2_1 (a8))) -> (c0_1 (a8)) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(hskp11)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (~(c2_1 (a6))) -> ((hskp25)\/((hskp17)\/(hskp21))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> (~(hskp10)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> (~(hskp1)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> (~(hskp7)) -> (~(hskp9)) -> ((hskp7)\/((hskp9)\/(hskp13))) -> False). % 1.22/1.44 do 0 intro. intros zenon_H287 zenon_H9c zenon_H63 zenon_H15 zenon_H95 zenon_H7b zenon_H220 zenon_H1ee zenon_H48 zenon_H17b zenon_H21f zenon_H228 zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_Hfc zenon_H91 zenon_H93 zenon_H167 zenon_H14a zenon_H256 zenon_H255 zenon_H254 zenon_H130 zenon_H12a zenon_H2d zenon_H43 zenon_H166 zenon_H162 zenon_Hde zenon_H177 zenon_H17a zenon_H1 zenon_H3 zenon_H7. % 1.22/1.44 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H5 | zenon_intro zenon_H284 ]. % 1.22/1.44 apply (zenon_L4_); trivial. % 1.22/1.44 apply (zenon_L976_); trivial. % 1.22/1.44 (* end of lemma zenon_L977_ *) % 1.22/1.44 assert (zenon_L978_ : ((~(hskp11))\/((ndr1_0)/\((c2_1 (a19))/\((~(c1_1 (a19)))/\(~(c3_1 (a19))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(hskp7)) -> ((hskp7)\/((hskp9)\/(hskp13))) -> (~(hskp9)) -> (~(hskp7)) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> (~(hskp1)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> ((hskp25)\/((hskp17)\/(hskp21))) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> (c0_1 (a8)) -> (~(c2_1 (a8))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> (c1_1 (a8)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((hskp9)\/(hskp24))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c1_1 Y)\/((~(c0_1 Y))\/(~(c2_1 Y))))))\/(hskp0))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c0_1 (a22)))/\((~(c2_1 (a22)))/\(~(c3_1 (a22))))))) -> False). % 1.22/1.44 do 0 intro. intros zenon_H213 zenon_Hb7 zenon_H7 zenon_H3 zenon_H1 zenon_H17a zenon_H177 zenon_Hde zenon_H162 zenon_H166 zenon_H43 zenon_H2d zenon_H12a zenon_H130 zenon_H254 zenon_H255 zenon_H256 zenon_H14a zenon_H167 zenon_H93 zenon_Hfc zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_H228 zenon_H21f zenon_H17b zenon_H48 zenon_H1ee zenon_H220 zenon_H7b zenon_H95 zenon_H15 zenon_H63 zenon_H9c zenon_H287. % 1.22/1.44 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H91 | zenon_intro zenon_He5 ]. % 1.22/1.44 apply (zenon_L977_); trivial. % 1.22/1.44 apply (zenon_L62_); trivial. % 1.22/1.44 (* end of lemma zenon_L978_ *) % 1.22/1.44 assert (zenon_L979_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp27)\/(hskp26))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> (ndr1_0) -> (~(c2_1 (a8))) -> (c1_1 (a8)) -> (c0_1 (a8)) -> (c2_1 (a3)) -> (c3_1 (a3)) -> (c1_1 (a3)) -> (~(hskp19)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(c3_1 (a18))) -> (c0_1 (a18)) -> (c2_1 (a18)) -> (~(hskp11)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> (~(hskp25)) -> (~(c3_1 (a37))) -> (~(c0_1 (a37))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a11))/\((c1_1 (a11))/\(c3_1 (a11)))))) -> False). % 1.22/1.44 do 0 intro. intros zenon_H1c1 zenon_H1f2 zenon_Hfc zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_H1a zenon_H21f zenon_H220 zenon_H228 zenon_H1e zenon_H1f zenon_H1d zenon_H144 zenon_H14a zenon_Hc1 zenon_He0 zenon_Hc2 zenon_H91 zenon_H93 zenon_H1c2 zenon_H12c zenon_H1cf zenon_H1ce zenon_Hd3 zenon_H254 zenon_H255 zenon_H256 zenon_H1ee zenon_H97. % 1.22/1.44 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1be ]. % 1.22/1.44 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H98 ]. % 1.22/1.44 apply (zenon_L824_); trivial. % 1.22/1.44 apply (zenon_L343_); trivial. % 1.22/1.44 apply (zenon_L820_); trivial. % 1.22/1.44 (* end of lemma zenon_L979_ *) % 1.22/1.44 assert (zenon_L980_ : ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp11)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(hskp19)) -> (c1_1 (a3)) -> (c2_1 (a3)) -> (c3_1 (a3)) -> (~(c2_1 (a8))) -> (c1_1 (a8)) -> (c0_1 (a8)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (~(c2_1 (a6))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp20)) -> (~(hskp26)) -> (ndr1_0) -> (~(c1_1 (a31))) -> (c2_1 (a31)) -> (c0_1 (a31)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> (~(hskp10)) -> False). % 1.22/1.44 do 0 intro. intros zenon_H43 zenon_H91 zenon_Hfc zenon_H144 zenon_H1d zenon_H1e zenon_H1f zenon_H21f zenon_H220 zenon_H228 zenon_H14a zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_H256 zenon_H255 zenon_H254 zenon_H93 zenon_H1c4 zenon_H1b3 zenon_H1a zenon_H32 zenon_H33 zenon_H3c zenon_H1c6 zenon_H2d. % 1.22/1.44 apply (zenon_or_s _ _ zenon_H43); [ zenon_intro zenon_H1b | zenon_intro zenon_H47 ]. % 1.22/1.44 apply (zenon_L972_); trivial. % 1.22/1.44 apply (zenon_or_s _ _ zenon_H47); [ zenon_intro zenon_H31 | zenon_intro zenon_H2e ]. % 1.22/1.44 apply (zenon_L141_); trivial. % 1.22/1.44 exact (zenon_H2d zenon_H2e). % 1.22/1.44 (* end of lemma zenon_L980_ *) % 1.22/1.44 assert (zenon_L981_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/(hskp13))) -> (~(hskp13)) -> (~(c2_1 (a14))) -> (c0_1 (a14)) -> (c3_1 (a14)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp11)) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> (~(hskp19)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(c1_1 (a31))) -> (~(hskp10)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c0_1 (a31)) -> (c2_1 (a31)) -> (~(hskp20)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> (ndr1_0) -> (~(c2_1 (a8))) -> (c1_1 (a8)) -> (c0_1 (a8)) -> (~(hskp9)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((hskp9)\/(hskp24))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> False). % 1.22/1.44 do 0 intro. intros zenon_H48 zenon_H247 zenon_H5 zenon_H11f zenon_H120 zenon_H121 zenon_H93 zenon_H91 zenon_H254 zenon_H255 zenon_H256 zenon_H144 zenon_H14a zenon_H32 zenon_H2d zenon_H43 zenon_Hfc zenon_H3c zenon_H33 zenon_H1c4 zenon_H1c6 zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_H1a zenon_H21f zenon_H220 zenon_H228 zenon_H3 zenon_H7b zenon_H1c1. % 1.22/1.44 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H11 | zenon_intro zenon_H41 ]. % 1.22/1.44 apply (zenon_L883_); trivial. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H1a. zenon_intro zenon_H44. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H1d. zenon_intro zenon_H45. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H1e. zenon_intro zenon_H1f. % 1.22/1.44 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1be ]. % 1.22/1.44 apply (zenon_L980_); trivial. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H1a. zenon_intro zenon_H1bf. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H1bf). zenon_intro zenon_H1b5. zenon_intro zenon_H1c0. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H1c0). zenon_intro zenon_H1b6. zenon_intro zenon_H1b7. % 1.22/1.44 apply (zenon_or_s _ _ zenon_H43); [ zenon_intro zenon_H1b | zenon_intro zenon_H47 ]. % 1.22/1.44 apply (zenon_L972_); trivial. % 1.22/1.44 apply (zenon_or_s _ _ zenon_H47); [ zenon_intro zenon_H31 | zenon_intro zenon_H2e ]. % 1.22/1.44 apply (zenon_L403_); trivial. % 1.22/1.44 exact (zenon_H2d zenon_H2e). % 1.22/1.44 (* end of lemma zenon_L981_ *) % 1.22/1.44 assert (zenon_L982_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((hskp9)\/(hskp24))) -> (~(hskp9)) -> (c0_1 (a8)) -> (c1_1 (a8)) -> (~(c2_1 (a8))) -> (ndr1_0) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> (c2_1 (a31)) -> (c0_1 (a31)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp10)) -> (~(c1_1 (a31))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp19)) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (~(c2_1 (a6))) -> (~(hskp11)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (c3_1 (a14)) -> (c0_1 (a14)) -> (~(c2_1 (a14))) -> (~(hskp13)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/(hskp13))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> False). % 1.22/1.44 do 0 intro. intros zenon_H1da zenon_H167 zenon_H1ee zenon_H149 zenon_H146 zenon_H1c2 zenon_H1f0 zenon_H1c1 zenon_H7b zenon_H3 zenon_H228 zenon_H220 zenon_H21f zenon_H1a zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_H1c6 zenon_H33 zenon_H3c zenon_Hfc zenon_H43 zenon_H2d zenon_H32 zenon_H14a zenon_H144 zenon_H256 zenon_H255 zenon_H254 zenon_H91 zenon_H93 zenon_H121 zenon_H120 zenon_H11f zenon_H5 zenon_H247 zenon_H48. % 1.22/1.44 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.22/1.44 apply (zenon_L981_); trivial. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H1a. zenon_intro zenon_H1d8. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1d0. zenon_intro zenon_H1d9. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1ce. zenon_intro zenon_H1cf. % 1.22/1.44 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H11 | zenon_intro zenon_H41 ]. % 1.22/1.44 apply (zenon_L329_); trivial. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H1a. zenon_intro zenon_H44. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H1d. zenon_intro zenon_H45. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H1e. zenon_intro zenon_H1f. % 1.22/1.44 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H12c | zenon_intro zenon_H148 ]. % 1.22/1.44 apply (zenon_L951_); trivial. % 1.22/1.44 apply (zenon_L86_); trivial. % 1.22/1.44 (* end of lemma zenon_L982_ *) % 1.22/1.44 assert (zenon_L983_ : ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> (~(hskp1)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> ((hskp25)\/((hskp17)\/(hskp21))) -> (~(hskp17)) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp11)) -> (~(c3_1 (a25))) -> (c0_1 (a25)) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> False). % 1.22/1.44 do 0 intro. intros zenon_H17a zenon_Hde zenon_H162 zenon_H166 zenon_H43 zenon_H2d zenon_H12a zenon_H130 zenon_H9 zenon_H254 zenon_H255 zenon_H256 zenon_H14a zenon_H167 zenon_H93 zenon_H91 zenon_H18e zenon_H18f zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_Hfc zenon_H17b. % 1.22/1.44 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H128 | zenon_intro zenon_H17c ]. % 1.22/1.44 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.22/1.44 apply (zenon_L324_); trivial. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1a. zenon_intro zenon_H178. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H16a. zenon_intro zenon_H179. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H171. zenon_intro zenon_H168. % 1.22/1.44 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H12e | zenon_intro zenon_H161 ]. % 1.22/1.44 apply (zenon_L847_); trivial. % 1.22/1.44 apply (zenon_L323_); trivial. % 1.22/1.44 apply (zenon_L953_); trivial. % 1.22/1.44 (* end of lemma zenon_L983_ *) % 1.22/1.44 assert (zenon_L984_ : ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp11)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c0_1 (a25)) -> (~(c3_1 (a25))) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> (c1_1 (a3)) -> (c3_1 (a3)) -> (c2_1 (a3)) -> (~(hskp19)) -> (~(c2_1 (a8))) -> (c1_1 (a8)) -> (c0_1 (a8)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp20)) -> (~(hskp26)) -> (ndr1_0) -> (~(c1_1 (a31))) -> (c2_1 (a31)) -> (c0_1 (a31)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> (~(hskp10)) -> False). % 1.22/1.44 do 0 intro. intros zenon_H43 zenon_H91 zenon_Hfc zenon_H18f zenon_H18e zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_H1d zenon_H1f zenon_H1e zenon_H144 zenon_H21f zenon_H220 zenon_H228 zenon_H14a zenon_H93 zenon_H1c4 zenon_H1b3 zenon_H1a zenon_H32 zenon_H33 zenon_H3c zenon_H1c6 zenon_H2d. % 1.22/1.44 apply (zenon_or_s _ _ zenon_H43); [ zenon_intro zenon_H1b | zenon_intro zenon_H47 ]. % 1.22/1.44 apply (zenon_L805_); trivial. % 1.22/1.44 apply (zenon_or_s _ _ zenon_H47); [ zenon_intro zenon_H31 | zenon_intro zenon_H2e ]. % 1.22/1.44 apply (zenon_L141_); trivial. % 1.22/1.44 exact (zenon_H2d zenon_H2e). % 1.22/1.44 (* end of lemma zenon_L984_ *) % 1.22/1.44 assert (zenon_L985_ : ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (c3_1 (a10)) -> (c2_1 (a10)) -> (c0_1 (a10)) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c0_1 (a8)) -> (c1_1 (a8)) -> (~(c2_1 (a8))) -> (c1_1 (a3)) -> (c3_1 (a3)) -> (c2_1 (a3)) -> (~(hskp19)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c0_1 (a31)) -> (c2_1 (a31)) -> (~(c1_1 (a31))) -> (forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))) -> (ndr1_0) -> (~(hskp11)) -> False). % 1.22/1.44 do 0 intro. intros zenon_H93 zenon_H1b7 zenon_H1b6 zenon_H1b5 zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_H14a zenon_H228 zenon_H220 zenon_H21f zenon_H1d zenon_H1f zenon_H1e zenon_H144 zenon_Hfc zenon_H3c zenon_H33 zenon_H32 zenon_H31 zenon_H1a zenon_H91. % 1.22/1.44 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H49 | zenon_intro zenon_H94 ]. % 1.22/1.44 apply (zenon_L800_); trivial. % 1.22/1.44 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H8e | zenon_intro zenon_H92 ]. % 1.22/1.44 apply (zenon_L35_); trivial. % 1.22/1.44 exact (zenon_H91 zenon_H92). % 1.22/1.44 (* end of lemma zenon_L985_ *) % 1.22/1.44 assert (zenon_L986_ : ((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (c0_1 (a25)) -> (~(c3_1 (a25))) -> (~(hskp11)) -> (~(c1_1 (a31))) -> (c2_1 (a31)) -> (c0_1 (a31)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(hskp19)) -> (c2_1 (a3)) -> (c3_1 (a3)) -> (c1_1 (a3)) -> (~(c2_1 (a8))) -> (c1_1 (a8)) -> (c0_1 (a8)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp10)) -> False). % 1.22/1.44 do 0 intro. intros zenon_H1be zenon_H43 zenon_H18f zenon_H18e zenon_H91 zenon_H32 zenon_H33 zenon_H3c zenon_Hfc zenon_H144 zenon_H1e zenon_H1f zenon_H1d zenon_H21f zenon_H220 zenon_H228 zenon_H14a zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_H93 zenon_H2d. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H1a. zenon_intro zenon_H1bf. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H1bf). zenon_intro zenon_H1b5. zenon_intro zenon_H1c0. % 1.22/1.44 apply (zenon_and_s _ _ zenon_H1c0). zenon_intro zenon_H1b6. zenon_intro zenon_H1b7. % 1.22/1.44 apply (zenon_or_s _ _ zenon_H43); [ zenon_intro zenon_H1b | zenon_intro zenon_H47 ]. % 1.22/1.45 apply (zenon_L805_); trivial. % 1.22/1.45 apply (zenon_or_s _ _ zenon_H47); [ zenon_intro zenon_H31 | zenon_intro zenon_H2e ]. % 1.22/1.45 apply (zenon_L985_); trivial. % 1.22/1.45 exact (zenon_H2d zenon_H2e). % 1.22/1.45 (* end of lemma zenon_L986_ *) % 1.22/1.45 assert (zenon_L987_ : ((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp11)) -> (~(c3_1 (a25))) -> (c0_1 (a25)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp19)) -> (c0_1 (a8)) -> (c1_1 (a8)) -> (~(c2_1 (a8))) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> (~(hskp20)) -> (c0_1 (a31)) -> (c2_1 (a31)) -> (~(c1_1 (a31))) -> (~(hskp10)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> False). % 1.22/1.45 do 0 intro. intros zenon_H41 zenon_H1c1 zenon_H93 zenon_H91 zenon_H18e zenon_H18f zenon_H14a zenon_H144 zenon_H228 zenon_H220 zenon_H21f zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_Hfc zenon_H1c6 zenon_H1c4 zenon_H3c zenon_H33 zenon_H32 zenon_H2d zenon_H43. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H1a. zenon_intro zenon_H44. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H1d. zenon_intro zenon_H45. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H1e. zenon_intro zenon_H1f. % 1.22/1.45 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1be ]. % 1.22/1.45 apply (zenon_L984_); trivial. % 1.22/1.45 apply (zenon_L986_); trivial. % 1.22/1.45 (* end of lemma zenon_L987_ *) % 1.22/1.45 assert (zenon_L988_ : ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp11)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c0_1 (a25)) -> (~(c3_1 (a25))) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> (c1_1 (a3)) -> (c3_1 (a3)) -> (c2_1 (a3)) -> (~(hskp19)) -> (~(c2_1 (a8))) -> (c1_1 (a8)) -> (c0_1 (a8)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (c0_1 (a31)) -> (c2_1 (a31)) -> (~(c1_1 (a31))) -> (ndr1_0) -> (forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10)))))) -> (~(hskp10)) -> False). % 1.22/1.45 do 0 intro. intros zenon_H43 zenon_H91 zenon_Hfc zenon_H18f zenon_H18e zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_H1d zenon_H1f zenon_H1e zenon_H144 zenon_H21f zenon_H220 zenon_H228 zenon_H14a zenon_H93 zenon_H3c zenon_H33 zenon_H32 zenon_H1a zenon_H3b zenon_H2d. % 1.22/1.45 apply (zenon_or_s _ _ zenon_H43); [ zenon_intro zenon_H1b | zenon_intro zenon_H47 ]. % 1.22/1.45 apply (zenon_L805_); trivial. % 1.22/1.45 apply (zenon_or_s _ _ zenon_H47); [ zenon_intro zenon_H31 | zenon_intro zenon_H2e ]. % 1.22/1.45 apply (zenon_L19_); trivial. % 1.22/1.45 exact (zenon_H2d zenon_H2e). % 1.22/1.45 (* end of lemma zenon_L988_ *) % 1.22/1.45 assert (zenon_L989_ : ((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp11)) -> (~(c3_1 (a25))) -> (c0_1 (a25)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp19)) -> (c0_1 (a8)) -> (c1_1 (a8)) -> (~(c2_1 (a8))) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(c1_1 (a31))) -> (c2_1 (a31)) -> (c0_1 (a31)) -> (~(hskp10)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> (~(hskp9)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((hskp9)\/(hskp24))) -> False). % 1.22/1.45 do 0 intro. intros zenon_H1d7 zenon_H48 zenon_H167 zenon_H1ee zenon_H93 zenon_H91 zenon_H18e zenon_H18f zenon_H14a zenon_H144 zenon_H228 zenon_H220 zenon_H21f zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_Hfc zenon_H32 zenon_H33 zenon_H3c zenon_H2d zenon_H43 zenon_H1c2 zenon_H1f0 zenon_H1c1 zenon_H254 zenon_H255 zenon_H256 zenon_H3 zenon_H7b. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H1a. zenon_intro zenon_H1d8. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1d0. zenon_intro zenon_H1d9. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1ce. zenon_intro zenon_H1cf. % 1.22/1.45 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H11 | zenon_intro zenon_H41 ]. % 1.22/1.45 apply (zenon_L329_); trivial. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H1a. zenon_intro zenon_H44. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H1d. zenon_intro zenon_H45. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H1e. zenon_intro zenon_H1f. % 1.22/1.45 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H12c | zenon_intro zenon_H148 ]. % 1.22/1.45 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1be ]. % 1.22/1.45 apply (zenon_or_s _ _ zenon_H1ee); [ zenon_intro zenon_H1e7 | zenon_intro zenon_H1ef ]. % 1.22/1.45 apply (zenon_L167_); trivial. % 1.22/1.45 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H3b | zenon_intro zenon_H6d ]. % 1.22/1.45 apply (zenon_L988_); trivial. % 1.22/1.45 apply (zenon_L318_); trivial. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H1a. zenon_intro zenon_H1bf. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H1bf). zenon_intro zenon_H1b5. zenon_intro zenon_H1c0. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H1c0). zenon_intro zenon_H1b6. zenon_intro zenon_H1b7. % 1.22/1.45 apply (zenon_or_s _ _ zenon_H1ee); [ zenon_intro zenon_H1e7 | zenon_intro zenon_H1ef ]. % 1.22/1.45 apply (zenon_L948_); trivial. % 1.22/1.45 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H3b | zenon_intro zenon_H6d ]. % 1.22/1.45 apply (zenon_L988_); trivial. % 1.22/1.45 apply (zenon_L318_); trivial. % 1.22/1.45 apply (zenon_L319_); trivial. % 1.22/1.45 (* end of lemma zenon_L989_ *) % 1.22/1.45 assert (zenon_L990_ : ((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp11)) -> (~(c3_1 (a25))) -> (c0_1 (a25)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c0_1 (a8)) -> (c1_1 (a8)) -> (~(c2_1 (a8))) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> (~(hskp10)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> (~(hskp9)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((hskp9)\/(hskp24))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> False). % 1.22/1.45 do 0 intro. intros zenon_H9e zenon_H17b zenon_H48 zenon_H1c1 zenon_H93 zenon_H91 zenon_H18e zenon_H18f zenon_H14a zenon_H228 zenon_H220 zenon_H21f zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_Hfc zenon_H1c6 zenon_H2d zenon_H43 zenon_H254 zenon_H255 zenon_H256 zenon_H3 zenon_H7b zenon_H1f0 zenon_H1c2 zenon_H1ee zenon_H167 zenon_H1da. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.22/1.45 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.22/1.45 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.22/1.45 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.22/1.45 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H11 | zenon_intro zenon_H41 ]. % 1.22/1.45 apply (zenon_L329_); trivial. % 1.22/1.45 apply (zenon_L987_); trivial. % 1.22/1.45 apply (zenon_L989_); trivial. % 1.22/1.45 apply (zenon_L814_); trivial. % 1.22/1.45 (* end of lemma zenon_L990_ *) % 1.22/1.45 assert (zenon_L991_ : ((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(~(c3_1 (a25)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> (c0_1 (a8)) -> (c1_1 (a8)) -> (~(c2_1 (a8))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> (~(hskp9)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((hskp9)\/(hskp24))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> (~(hskp11)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (~(c2_1 (a6))) -> ((hskp25)\/((hskp17)\/(hskp21))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> (~(hskp10)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> (~(hskp1)) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> False). % 1.22/1.45 do 0 intro. intros zenon_H19f zenon_H9c zenon_H48 zenon_H1c1 zenon_H228 zenon_H220 zenon_H21f zenon_H1c6 zenon_H3 zenon_H7b zenon_H1f0 zenon_H1c2 zenon_H1ee zenon_H1da zenon_H17b zenon_Hfc zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_H91 zenon_H93 zenon_H167 zenon_H14a zenon_H256 zenon_H255 zenon_H254 zenon_H130 zenon_H12a zenon_H2d zenon_H43 zenon_H166 zenon_H162 zenon_Hde zenon_H17a. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H1a. zenon_intro zenon_H1a0. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H18f. zenon_intro zenon_H1a1. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H19a. zenon_intro zenon_H18e. % 1.22/1.45 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.22/1.45 apply (zenon_L983_); trivial. % 1.22/1.45 apply (zenon_L990_); trivial. % 1.22/1.45 (* end of lemma zenon_L991_ *) % 1.22/1.45 assert (zenon_L992_ : ((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp8)\/(hskp9))) -> (~(hskp8)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((hskp9)\/(hskp24))) -> (~(hskp9)) -> (c0_1 (a8)) -> (c1_1 (a8)) -> (~(c2_1 (a8))) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> (c2_1 (a31)) -> (c0_1 (a31)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(c3_1 (a19))) -> (~(c1_1 (a19))) -> (c2_1 (a19)) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> False). % 1.22/1.45 do 0 intro. intros zenon_H176 zenon_H1da zenon_H1a3 zenon_Hb zenon_H95 zenon_H1c1 zenon_H7b zenon_H3 zenon_H228 zenon_H220 zenon_H21f zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_H1c6 zenon_H33 zenon_H3c zenon_Hfc zenon_H177 zenon_Hd3 zenon_Haf zenon_Hae zenon_Hb0 zenon_H48. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1a. zenon_intro zenon_H178. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H16a. zenon_intro zenon_H179. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H171. zenon_intro zenon_H168. % 1.22/1.45 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.22/1.45 apply (zenon_L884_); trivial. % 1.22/1.45 apply (zenon_L146_); trivial. % 1.22/1.45 (* end of lemma zenon_L992_ *) % 1.22/1.45 assert (zenon_L993_ : ((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp8)\/(hskp9))) -> (~(hskp8)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> (c2_1 (a19)) -> (~(c1_1 (a19))) -> (~(c3_1 (a19))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> (~(c2_1 (a8))) -> (c1_1 (a8)) -> (c0_1 (a8)) -> (~(hskp9)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((hskp9)\/(hskp24))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (~(c2_1 (a6))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> False). % 1.22/1.45 do 0 intro. intros zenon_H9e zenon_H17b zenon_H1a3 zenon_Hb zenon_H95 zenon_H48 zenon_Hb0 zenon_Hae zenon_Haf zenon_Hd3 zenon_H177 zenon_Hfc zenon_H1c6 zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_H21f zenon_H220 zenon_H228 zenon_H3 zenon_H7b zenon_H1c1 zenon_H256 zenon_H255 zenon_H254 zenon_H1c2 zenon_H43 zenon_H2d zenon_H14a zenon_H1ee zenon_H1f0 zenon_H167 zenon_H1da. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.22/1.45 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.22/1.45 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.22/1.45 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.22/1.45 apply (zenon_L884_); trivial. % 1.22/1.45 apply (zenon_L962_); trivial. % 1.22/1.45 apply (zenon_L992_); trivial. % 1.22/1.45 (* end of lemma zenon_L993_ *) % 1.22/1.45 assert (zenon_L994_ : ((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (~(c2_1 (a6))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a11))/\((c1_1 (a11))/\(c3_1 (a11)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp27)\/(hskp26))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((hskp9)\/(hskp24))) -> (~(hskp9)) -> (c0_1 (a8)) -> (c1_1 (a8)) -> (~(c2_1 (a8))) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> (c2_1 (a31)) -> (c0_1 (a31)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(c3_1 (a19))) -> (~(c1_1 (a19))) -> (c2_1 (a19)) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> False). % 1.22/1.45 do 0 intro. intros zenon_H176 zenon_H1da zenon_H167 zenon_H256 zenon_H255 zenon_H254 zenon_H1f0 zenon_H97 zenon_H1ee zenon_H1c2 zenon_H1f2 zenon_H95 zenon_H1c1 zenon_H7b zenon_H3 zenon_H228 zenon_H220 zenon_H21f zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_H1c6 zenon_H33 zenon_H3c zenon_Hfc zenon_H177 zenon_Hd3 zenon_Haf zenon_Hae zenon_Hb0 zenon_H48. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1a. zenon_intro zenon_H178. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H16a. zenon_intro zenon_H179. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H171. zenon_intro zenon_H168. % 1.22/1.45 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.22/1.45 apply (zenon_L884_); trivial. % 1.22/1.45 apply (zenon_L936_); trivial. % 1.22/1.45 (* end of lemma zenon_L994_ *) % 1.22/1.45 assert (zenon_L995_ : ((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (c0_1 (a8)) -> (c1_1 (a8)) -> (~(c2_1 (a8))) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> (c2_1 (a19)) -> (~(c1_1 (a19))) -> (~(c3_1 (a19))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> (~(hskp9)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((hskp9)\/(hskp24))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp27)\/(hskp26))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(c3_1 (a18))) -> (c2_1 (a18)) -> (c0_1 (a18)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a11))/\((c1_1 (a11))/\(c3_1 (a11)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> False). % 1.22/1.45 do 0 intro. intros zenon_H9e zenon_H17b zenon_H1f0 zenon_H95 zenon_H228 zenon_H220 zenon_H21f zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_Hfc zenon_H48 zenon_H1c1 zenon_H1c6 zenon_Hb0 zenon_Hae zenon_Haf zenon_Hd3 zenon_H177 zenon_H254 zenon_H255 zenon_H256 zenon_H3 zenon_H7b zenon_H1f2 zenon_H14a zenon_Hc1 zenon_Hc2 zenon_He0 zenon_H1c2 zenon_H1ee zenon_H97 zenon_H167 zenon_H1da. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.22/1.45 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.22/1.45 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.22/1.45 apply (zenon_L348_); trivial. % 1.22/1.45 apply (zenon_L994_); trivial. % 1.22/1.45 (* end of lemma zenon_L995_ *) % 1.22/1.45 assert (zenon_L996_ : ((ndr1_0)/\((c2_1 (a19))/\((~(c1_1 (a19)))/\(~(c3_1 (a19)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (c0_1 (a8)) -> (c1_1 (a8)) -> (~(c2_1 (a8))) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(hskp9)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((hskp9)\/(hskp24))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp27)\/(hskp26))) -> (~(c3_1 (a18))) -> (c2_1 (a18)) -> (c0_1 (a18)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a11))/\((c1_1 (a11))/\(c3_1 (a11)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> (c3_1 (a14)) -> (c0_1 (a14)) -> (~(c2_1 (a14))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> (~(hskp1)) -> ((hskp25)\/((hskp17)\/(hskp21))) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> False). % 1.22/1.45 do 0 intro. intros zenon_He5 zenon_H9c zenon_H1f0 zenon_H95 zenon_H228 zenon_H220 zenon_H21f zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_Hfc zenon_H48 zenon_H1c1 zenon_H1c6 zenon_Hd3 zenon_H3 zenon_H7b zenon_H1f2 zenon_Hc1 zenon_Hc2 zenon_He0 zenon_H1c2 zenon_H1ee zenon_H97 zenon_H1da zenon_H12a zenon_H121 zenon_H120 zenon_H11f zenon_H166 zenon_H162 zenon_Hde zenon_H130 zenon_H254 zenon_H255 zenon_H256 zenon_H14a zenon_H167 zenon_H177 zenon_H17b zenon_H17a. % 1.22/1.45 apply (zenon_and_s _ _ zenon_He5). zenon_intro zenon_H1a. zenon_intro zenon_He6. % 1.22/1.45 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_Hb0. zenon_intro zenon_He7. % 1.22/1.45 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hae. zenon_intro zenon_Haf. % 1.22/1.45 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.22/1.45 apply (zenon_L411_); trivial. % 1.22/1.45 apply (zenon_L995_); trivial. % 1.22/1.45 (* end of lemma zenon_L996_ *) % 1.22/1.45 assert (zenon_L997_ : ((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/(hskp13))) -> (~(hskp13)) -> (c0_1 (a15)) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp11)) -> (~(c3_1 (a25))) -> (c0_1 (a25)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp19)) -> (c0_1 (a8)) -> (c1_1 (a8)) -> (~(c2_1 (a8))) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> (~(hskp20)) -> (c0_1 (a31)) -> (c2_1 (a31)) -> (~(c1_1 (a31))) -> (~(hskp10)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> False). % 1.22/1.45 do 0 intro. intros zenon_H41 zenon_H1c1 zenon_H247 zenon_H5 zenon_H117 zenon_H116 zenon_H115 zenon_H93 zenon_H91 zenon_H18e zenon_H18f zenon_H14a zenon_H144 zenon_H228 zenon_H220 zenon_H21f zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_Hfc zenon_H1c6 zenon_H1c4 zenon_H3c zenon_H33 zenon_H32 zenon_H2d zenon_H43. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H1a. zenon_intro zenon_H44. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H1d. zenon_intro zenon_H45. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H1e. zenon_intro zenon_H1f. % 1.22/1.45 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1be ]. % 1.22/1.45 apply (zenon_L984_); trivial. % 1.22/1.45 apply (zenon_L889_); trivial. % 1.22/1.45 (* end of lemma zenon_L997_ *) % 1.22/1.45 assert (zenon_L998_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/(hskp13))) -> (~(hskp13)) -> (c0_1 (a15)) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp11)) -> (~(c3_1 (a25))) -> (c0_1 (a25)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp19)) -> (c0_1 (a8)) -> (c1_1 (a8)) -> (~(c2_1 (a8))) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> (~(hskp20)) -> (c0_1 (a31)) -> (c2_1 (a31)) -> (~(c1_1 (a31))) -> (~(hskp10)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (ndr1_0) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> (~(hskp9)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((hskp9)\/(hskp24))) -> False). % 1.22/1.45 do 0 intro. intros zenon_H48 zenon_H1c1 zenon_H247 zenon_H5 zenon_H117 zenon_H116 zenon_H115 zenon_H93 zenon_H91 zenon_H18e zenon_H18f zenon_H14a zenon_H144 zenon_H228 zenon_H220 zenon_H21f zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_Hfc zenon_H1c6 zenon_H1c4 zenon_H3c zenon_H33 zenon_H32 zenon_H2d zenon_H43 zenon_H1a zenon_H254 zenon_H255 zenon_H256 zenon_H3 zenon_H7b. % 1.22/1.45 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H11 | zenon_intro zenon_H41 ]. % 1.22/1.45 apply (zenon_L329_); trivial. % 1.22/1.45 apply (zenon_L997_); trivial. % 1.22/1.45 (* end of lemma zenon_L998_ *) % 1.22/1.45 assert (zenon_L999_ : ((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(~(c3_1 (a25)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/(hskp13))) -> (~(hskp13)) -> (c0_1 (a15)) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> (c0_1 (a8)) -> (c1_1 (a8)) -> (~(c2_1 (a8))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> (~(hskp10)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp9)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((hskp9)\/(hskp24))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> (c3_1 (a14)) -> (c0_1 (a14)) -> (~(c2_1 (a14))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> (~(hskp1)) -> ((hskp25)\/((hskp17)\/(hskp21))) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp11)) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> False). % 1.22/1.45 do 0 intro. intros zenon_H19f zenon_H9c zenon_H48 zenon_H1c1 zenon_H247 zenon_H5 zenon_H117 zenon_H116 zenon_H115 zenon_H228 zenon_H220 zenon_H21f zenon_H1c6 zenon_H2d zenon_H43 zenon_H3 zenon_H7b zenon_H1f0 zenon_H1c2 zenon_H1ee zenon_H1da zenon_H12a zenon_H121 zenon_H120 zenon_H11f zenon_H166 zenon_H162 zenon_Hde zenon_H130 zenon_H254 zenon_H255 zenon_H256 zenon_H14a zenon_H167 zenon_H93 zenon_H91 zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_Hfc zenon_H17b zenon_H17a. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H1a. zenon_intro zenon_H1a0. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H18f. zenon_intro zenon_H1a1. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H19a. zenon_intro zenon_H18e. % 1.22/1.45 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.22/1.45 apply (zenon_L954_); trivial. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.22/1.45 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.22/1.45 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.22/1.45 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.22/1.45 apply (zenon_L998_); trivial. % 1.22/1.45 apply (zenon_L989_); trivial. % 1.22/1.45 apply (zenon_L814_); trivial. % 1.22/1.45 (* end of lemma zenon_L999_ *) % 1.22/1.45 assert (zenon_L1000_ : ((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a11))/\((c1_1 (a11))/\(c3_1 (a11)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp27)\/(hskp26))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> (c2_1 (a19)) -> (~(c1_1 (a19))) -> (~(c3_1 (a19))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> (~(c2_1 (a8))) -> (c1_1 (a8)) -> (c0_1 (a8)) -> (~(hskp9)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((hskp9)\/(hskp24))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (~(c2_1 (a6))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/(hskp13))) -> (~(hskp13)) -> (c0_1 (a15)) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> False). % 1.22/1.45 do 0 intro. intros zenon_H9e zenon_H17b zenon_H97 zenon_H1f2 zenon_H95 zenon_H48 zenon_Hb0 zenon_Hae zenon_Haf zenon_Hd3 zenon_H177 zenon_Hfc zenon_H1c6 zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_H21f zenon_H220 zenon_H228 zenon_H3 zenon_H7b zenon_H1c1 zenon_H256 zenon_H255 zenon_H254 zenon_H247 zenon_H5 zenon_H117 zenon_H116 zenon_H115 zenon_H1c2 zenon_H43 zenon_H2d zenon_H14a zenon_H1ee zenon_H1f0 zenon_H167 zenon_H1da. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.22/1.45 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.22/1.45 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.22/1.45 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.22/1.45 apply (zenon_L884_); trivial. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H1a. zenon_intro zenon_H1d8. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1d0. zenon_intro zenon_H1d9. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1ce. zenon_intro zenon_H1cf. % 1.22/1.45 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H11 | zenon_intro zenon_H41 ]. % 1.22/1.45 apply (zenon_L329_); trivial. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H1a. zenon_intro zenon_H44. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H1d. zenon_intro zenon_H45. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H1e. zenon_intro zenon_H1f. % 1.22/1.45 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H12c | zenon_intro zenon_H148 ]. % 1.22/1.45 apply (zenon_L678_); trivial. % 1.22/1.45 apply (zenon_L935_); trivial. % 1.22/1.45 apply (zenon_L994_); trivial. % 1.22/1.45 (* end of lemma zenon_L1000_ *) % 1.22/1.45 assert (zenon_L1001_ : ((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a11))/\((c1_1 (a11))/\(c3_1 (a11)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp27)\/(hskp26))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> (c0_1 (a8)) -> (c1_1 (a8)) -> (~(c2_1 (a8))) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(c3_1 (a19))) -> (~(c1_1 (a19))) -> (c2_1 (a19)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((hskp9)\/(hskp24))) -> (~(hskp9)) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (~(c2_1 (a6))) -> (~(c0_1 (a22))) -> (~(c2_1 (a22))) -> (~(c3_1 (a22))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> False). % 1.22/1.45 do 0 intro. intros zenon_H9e zenon_H17b zenon_H1da zenon_H167 zenon_H1f0 zenon_H97 zenon_H1c2 zenon_H1f2 zenon_H95 zenon_H1c1 zenon_H228 zenon_H220 zenon_H21f zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_H1c6 zenon_Hfc zenon_H177 zenon_Hd3 zenon_Haf zenon_Hae zenon_Hb0 zenon_H7b zenon_H3 zenon_H256 zenon_H255 zenon_H254 zenon_H80 zenon_H89 zenon_H81 zenon_H43 zenon_H2d zenon_H14a zenon_H1ee zenon_H48. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.22/1.45 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.22/1.45 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.22/1.45 apply (zenon_L333_); trivial. % 1.22/1.45 apply (zenon_L994_); trivial. % 1.22/1.45 (* end of lemma zenon_L1001_ *) % 1.22/1.45 assert (zenon_L1002_ : ((ndr1_0)/\((~(c0_1 (a22)))/\((~(c2_1 (a22)))/\(~(c3_1 (a22)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a11))/\((c1_1 (a11))/\(c3_1 (a11)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp27)\/(hskp26))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> (c0_1 (a8)) -> (c1_1 (a8)) -> (~(c2_1 (a8))) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(c3_1 (a19))) -> (~(c1_1 (a19))) -> (c2_1 (a19)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((hskp9)\/(hskp24))) -> (~(hskp9)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp10)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> (c3_1 (a14)) -> (c0_1 (a14)) -> (~(c2_1 (a14))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> (~(hskp1)) -> ((hskp25)\/((hskp17)\/(hskp21))) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> False). % 1.22/1.45 do 0 intro. intros zenon_H284 zenon_H9c zenon_H1da zenon_H1f0 zenon_H97 zenon_H1c2 zenon_H1f2 zenon_H95 zenon_H1c1 zenon_H228 zenon_H220 zenon_H21f zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_H1c6 zenon_Hfc zenon_Hd3 zenon_Haf zenon_Hae zenon_Hb0 zenon_H7b zenon_H3 zenon_H43 zenon_H2d zenon_H1ee zenon_H48 zenon_H12a zenon_H121 zenon_H120 zenon_H11f zenon_H166 zenon_H162 zenon_Hde zenon_H130 zenon_H254 zenon_H255 zenon_H256 zenon_H14a zenon_H167 zenon_H177 zenon_H17b zenon_H17a. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H284). zenon_intro zenon_H1a. zenon_intro zenon_H285. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_H80. zenon_intro zenon_H286. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H286). zenon_intro zenon_H89. zenon_intro zenon_H81. % 1.22/1.45 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.22/1.45 apply (zenon_L411_); trivial. % 1.22/1.45 apply (zenon_L1001_); trivial. % 1.22/1.45 (* end of lemma zenon_L1002_ *) % 1.22/1.45 assert (zenon_L1003_ : ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c0_1 (a15)) -> (~(c1_1 (a15))) -> (forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42)))))) -> (~(c2_1 (a15))) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> (forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37)))))) -> (ndr1_0) -> (c0_1 (a31)) -> (c2_1 (a31)) -> False). % 1.22/1.45 do 0 intro. intros zenon_Hfc zenon_H117 zenon_H115 zenon_H132 zenon_H116 zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_H8e zenon_H1a zenon_H3c zenon_H33. % 1.22/1.45 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfd ]. % 1.22/1.45 apply (zenon_L584_); trivial. % 1.22/1.45 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hf3 | zenon_intro zenon_Hcd ]. % 1.22/1.45 apply (zenon_L687_); trivial. % 1.22/1.45 apply (zenon_L116_); trivial. % 1.22/1.45 (* end of lemma zenon_L1003_ *) % 1.22/1.45 assert (zenon_L1004_ : ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (c2_1 (a31)) -> (c0_1 (a31)) -> (forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37)))))) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> (c0_1 (a15)) -> (c3_1 (a10)) -> (c2_1 (a10)) -> (c0_1 (a10)) -> (ndr1_0) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> (~(c2_1 (a8))) -> (c0_1 (a8)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(hskp15)) -> False). % 1.22/1.45 do 0 intro. intros zenon_H149 zenon_H33 zenon_H3c zenon_H8e zenon_H116 zenon_H115 zenon_H117 zenon_H1b7 zenon_H1b6 zenon_H1b5 zenon_H1a zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_H21f zenon_H228 zenon_Hfc zenon_H146. % 1.22/1.45 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H132 | zenon_intro zenon_H14d ]. % 1.22/1.45 apply (zenon_L1003_); trivial. % 1.22/1.45 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H11e | zenon_intro zenon_H147 ]. % 1.22/1.45 apply (zenon_L784_); trivial. % 1.22/1.45 exact (zenon_H146 zenon_H147). % 1.22/1.45 (* end of lemma zenon_L1004_ *) % 1.22/1.45 assert (zenon_L1005_ : ((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c1_1 (a8)) -> (c1_1 (a3)) -> (c3_1 (a3)) -> (c2_1 (a3)) -> (~(hskp19)) -> (~(hskp15)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c0_1 (a8)) -> (~(c2_1 (a8))) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> (c0_1 (a15)) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (c0_1 (a31)) -> (c2_1 (a31)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (~(hskp11)) -> False). % 1.22/1.45 do 0 intro. intros zenon_H1be zenon_H93 zenon_H14a zenon_H220 zenon_H1d zenon_H1f zenon_H1e zenon_H144 zenon_H146 zenon_Hfc zenon_H228 zenon_H21f zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_H117 zenon_H115 zenon_H116 zenon_H3c zenon_H33 zenon_H149 zenon_H91. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H1a. zenon_intro zenon_H1bf. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H1bf). zenon_intro zenon_H1b5. zenon_intro zenon_H1c0. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H1c0). zenon_intro zenon_H1b6. zenon_intro zenon_H1b7. % 1.22/1.45 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H49 | zenon_intro zenon_H94 ]. % 1.22/1.45 apply (zenon_L800_); trivial. % 1.22/1.45 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H8e | zenon_intro zenon_H92 ]. % 1.22/1.45 apply (zenon_L1004_); trivial. % 1.22/1.45 exact (zenon_H91 zenon_H92). % 1.22/1.45 (* end of lemma zenon_L1005_ *) % 1.22/1.45 assert (zenon_L1006_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((hskp9)\/(hskp24))) -> (~(hskp9)) -> (c0_1 (a8)) -> (c1_1 (a8)) -> (~(c2_1 (a8))) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp27)\/(hskp26))) -> (c0_1 (a15)) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (~(hskp15)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a11))/\((c1_1 (a11))/\(c3_1 (a11)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((hskp25)\/((hskp17)\/(hskp21))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> (c2_1 (a18)) -> (c0_1 (a18)) -> (~(c3_1 (a18))) -> (ndr1_0) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (~(c2_1 (a6))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> (~(hskp11)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> False). % 1.22/1.45 do 0 intro. intros zenon_H9c zenon_H48 zenon_H7b zenon_H3 zenon_H228 zenon_H220 zenon_H21f zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_Hfc zenon_H1f2 zenon_H117 zenon_H115 zenon_H116 zenon_H146 zenon_H149 zenon_H1c2 zenon_H1ee zenon_H97 zenon_H1da zenon_H166 zenon_H95 zenon_H130 zenon_H167 zenon_H1c6 zenon_Hc2 zenon_He0 zenon_Hc1 zenon_H1a zenon_H14a zenon_H256 zenon_H255 zenon_H254 zenon_Hd3 zenon_H1c1 zenon_H91 zenon_H93 zenon_H17b. % 1.22/1.45 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.22/1.45 apply (zenon_L392_); trivial. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.22/1.45 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.22/1.45 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.22/1.45 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.22/1.45 apply (zenon_L822_); trivial. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H1a. zenon_intro zenon_H1d8. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1d0. zenon_intro zenon_H1d9. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1ce. zenon_intro zenon_H1cf. % 1.22/1.45 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H11 | zenon_intro zenon_H41 ]. % 1.22/1.45 apply (zenon_L329_); trivial. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H1a. zenon_intro zenon_H44. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H1d. zenon_intro zenon_H45. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H1e. zenon_intro zenon_H1f. % 1.22/1.45 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H12c | zenon_intro zenon_H148 ]. % 1.22/1.45 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1be ]. % 1.22/1.45 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H98 ]. % 1.22/1.45 apply (zenon_L781_); trivial. % 1.22/1.45 apply (zenon_L343_); trivial. % 1.22/1.45 apply (zenon_L1005_); trivial. % 1.22/1.45 apply (zenon_L319_); trivial. % 1.22/1.45 apply (zenon_L153_); trivial. % 1.22/1.45 (* end of lemma zenon_L1006_ *) % 1.22/1.45 assert (zenon_L1007_ : ((ndr1_0)/\((~(c0_1 (a22)))/\((~(c2_1 (a22)))/\(~(c3_1 (a22)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (~(c2_1 (a6))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp6)\/(hskp10))) -> (~(hskp10)) -> (~(hskp6)) -> ((hskp25)\/((hskp17)\/(hskp21))) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> False). % 1.22/1.45 do 0 intro. intros zenon_H284 zenon_H9c zenon_H1ee zenon_H256 zenon_H255 zenon_H254 zenon_H167 zenon_H2f zenon_H2d zenon_H2b zenon_H130 zenon_H233 zenon_H234 zenon_H235 zenon_H43 zenon_H166. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H284). zenon_intro zenon_H1a. zenon_intro zenon_H285. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_H80. zenon_intro zenon_H286. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H286). zenon_intro zenon_H89. zenon_intro zenon_H81. % 1.22/1.45 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.22/1.45 apply (zenon_L895_); trivial. % 1.22/1.45 apply (zenon_L442_); trivial. % 1.22/1.45 (* end of lemma zenon_L1007_ *) % 1.22/1.45 assert (zenon_L1008_ : ((~(hskp13))\/((ndr1_0)/\((~(c0_1 (a22)))/\((~(c2_1 (a22)))/\(~(c3_1 (a22))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (~(c2_1 (a6))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp6)\/(hskp10))) -> (~(hskp10)) -> (~(hskp6)) -> ((hskp25)\/((hskp17)\/(hskp21))) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> (~(hskp7)) -> (~(hskp9)) -> ((hskp7)\/((hskp9)\/(hskp13))) -> False). % 1.22/1.45 do 0 intro. intros zenon_H287 zenon_H9c zenon_H1ee zenon_H256 zenon_H255 zenon_H254 zenon_H167 zenon_H2f zenon_H2d zenon_H2b zenon_H130 zenon_H233 zenon_H234 zenon_H235 zenon_H43 zenon_H166 zenon_H1 zenon_H3 zenon_H7. % 1.22/1.45 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H5 | zenon_intro zenon_H284 ]. % 1.22/1.45 apply (zenon_L4_); trivial. % 1.22/1.45 apply (zenon_L1007_); trivial. % 1.22/1.45 (* end of lemma zenon_L1008_ *) % 1.22/1.45 assert (zenon_L1009_ : ((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp10)) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> ((hskp25)\/((hskp17)\/(hskp21))) -> (~(hskp17)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (~(c2_1 (a16))) -> (~(hskp11)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> False). % 1.22/1.45 do 0 intro. intros zenon_H176 zenon_H166 zenon_H43 zenon_H2d zenon_H235 zenon_H234 zenon_H233 zenon_H130 zenon_H9 zenon_Hfc zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_Heb zenon_Hea zenon_He9 zenon_H91 zenon_H93 zenon_H167. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1a. zenon_intro zenon_H178. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H16a. zenon_intro zenon_H179. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H171. zenon_intro zenon_H168. % 1.22/1.45 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H12e | zenon_intro zenon_H161 ]. % 1.22/1.45 apply (zenon_L941_); trivial. % 1.22/1.45 apply (zenon_L461_); trivial. % 1.22/1.45 (* end of lemma zenon_L1009_ *) % 1.22/1.45 assert (zenon_L1010_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (~(c2_1 (a16))) -> (~(hskp11)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (~(c2_1 (a6))) -> (~(hskp17)) -> ((hskp25)\/((hskp17)\/(hskp21))) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> (~(hskp10)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> False). % 1.22/1.45 do 0 intro. intros zenon_H17b zenon_Hfc zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_Heb zenon_Hea zenon_He9 zenon_H91 zenon_H93 zenon_H167 zenon_H14a zenon_H256 zenon_H255 zenon_H254 zenon_H9 zenon_H130 zenon_H233 zenon_H234 zenon_H235 zenon_H2d zenon_H43 zenon_H166. % 1.22/1.45 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.22/1.45 apply (zenon_L462_); trivial. % 1.22/1.45 apply (zenon_L1009_); trivial. % 1.22/1.45 (* end of lemma zenon_L1010_ *) % 1.22/1.45 assert (zenon_L1011_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (~(c2_1 (a16))) -> (ndr1_0) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> (~(hskp20)) -> (c0_1 (a31)) -> (c2_1 (a31)) -> (~(c1_1 (a31))) -> (~(hskp10)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> False). % 1.22/1.45 do 0 intro. intros zenon_H1c1 zenon_Hfc zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_Heb zenon_Hea zenon_He9 zenon_H1a zenon_H233 zenon_H234 zenon_H235 zenon_H1c6 zenon_H1c4 zenon_H3c zenon_H33 zenon_H32 zenon_H2d zenon_H43. % 1.22/1.45 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1be ]. % 1.22/1.45 apply (zenon_L449_); trivial. % 1.22/1.45 apply (zenon_L696_); trivial. % 1.22/1.45 (* end of lemma zenon_L1011_ *) % 1.22/1.45 assert (zenon_L1012_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (~(c2_1 (a16))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> (~(hskp25)) -> (~(c3_1 (a37))) -> (~(c0_1 (a37))) -> (ndr1_0) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp10)) -> (c0_1 (a31)) -> (c2_1 (a31)) -> (~(c1_1 (a31))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> False). % 1.22/1.45 do 0 intro. intros zenon_H1c1 zenon_Hfc zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_Heb zenon_Hea zenon_He9 zenon_H1c2 zenon_H12c zenon_H1cf zenon_H1ce zenon_H1a zenon_H43 zenon_H2d zenon_H3c zenon_H33 zenon_H32 zenon_H235 zenon_H234 zenon_H233 zenon_H254 zenon_H255 zenon_H256 zenon_H1ee. % 1.22/1.45 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1be ]. % 1.22/1.45 apply (zenon_L450_); trivial. % 1.22/1.45 apply (zenon_L696_); trivial. % 1.22/1.45 (* end of lemma zenon_L1012_ *) % 1.22/1.45 assert (zenon_L1013_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp19)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (~(c2_1 (a6))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp10)) -> (~(c1_1 (a31))) -> (c2_1 (a31)) -> (c0_1 (a31)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> (ndr1_0) -> (~(c2_1 (a16))) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> False). % 1.22/1.45 do 0 intro. intros zenon_H1da zenon_H167 zenon_H14a zenon_H144 zenon_H1ee zenon_H256 zenon_H255 zenon_H254 zenon_H1c2 zenon_H43 zenon_H2d zenon_H32 zenon_H33 zenon_H3c zenon_H1c6 zenon_H235 zenon_H234 zenon_H233 zenon_H1a zenon_He9 zenon_Hea zenon_Heb zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_Hfc zenon_H1c1. % 1.22/1.45 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.22/1.45 apply (zenon_L1011_); trivial. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H1a. zenon_intro zenon_H1d8. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1d0. zenon_intro zenon_H1d9. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1ce. zenon_intro zenon_H1cf. % 1.22/1.45 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H12c | zenon_intro zenon_H148 ]. % 1.22/1.45 apply (zenon_L1012_); trivial. % 1.22/1.45 apply (zenon_L319_); trivial. % 1.22/1.45 (* end of lemma zenon_L1013_ *) % 1.22/1.45 assert (zenon_L1014_ : ((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> (~(hskp11)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (~(c2_1 (a16))) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> (~(hskp10)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> False). % 1.22/1.45 do 0 intro. intros zenon_H9e zenon_H17b zenon_H91 zenon_H93 zenon_H1c1 zenon_Hfc zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_Heb zenon_Hea zenon_He9 zenon_H233 zenon_H234 zenon_H235 zenon_H1c6 zenon_H2d zenon_H43 zenon_H1c2 zenon_H254 zenon_H255 zenon_H256 zenon_H1ee zenon_H14a zenon_H167 zenon_H1da. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.22/1.45 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.22/1.45 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.22/1.45 apply (zenon_L1013_); trivial. % 1.22/1.45 apply (zenon_L452_); trivial. % 1.22/1.45 (* end of lemma zenon_L1014_ *) % 1.22/1.45 assert (zenon_L1015_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp10)) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> ((hskp25)\/((hskp17)\/(hskp21))) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp11)) -> (~(c2_1 (a16))) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> False). % 1.22/1.45 do 0 intro. intros zenon_H9c zenon_H1c1 zenon_H1c6 zenon_H1c2 zenon_H1ee zenon_H1da zenon_H166 zenon_H43 zenon_H2d zenon_H235 zenon_H234 zenon_H233 zenon_H130 zenon_H254 zenon_H255 zenon_H256 zenon_H14a zenon_H167 zenon_H93 zenon_H91 zenon_He9 zenon_Hea zenon_Heb zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_Hfc zenon_H17b. % 1.22/1.45 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.22/1.45 apply (zenon_L1010_); trivial. % 1.22/1.45 apply (zenon_L1014_); trivial. % 1.22/1.45 (* end of lemma zenon_L1015_ *) % 1.22/1.45 assert (zenon_L1016_ : ((~(hskp11))\/((ndr1_0)/\((c2_1 (a19))/\((~(c1_1 (a19)))/\(~(c3_1 (a19))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(hskp7)) -> (~(hskp7)) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (~(c2_1 (a16))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (~(c2_1 (a6))) -> ((hskp25)\/((hskp17)\/(hskp21))) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> (~(hskp10)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> False). % 1.22/1.45 do 0 intro. intros zenon_H213 zenon_Hb7 zenon_H1 zenon_H17b zenon_Hfc zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_Heb zenon_Hea zenon_He9 zenon_H93 zenon_H167 zenon_H14a zenon_H256 zenon_H255 zenon_H254 zenon_H130 zenon_H233 zenon_H234 zenon_H235 zenon_H2d zenon_H43 zenon_H166 zenon_H1da zenon_H1ee zenon_H1c2 zenon_H1c6 zenon_H1c1 zenon_H9c. % 1.22/1.45 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H91 | zenon_intro zenon_He5 ]. % 1.22/1.45 apply (zenon_L1015_); trivial. % 1.22/1.45 apply (zenon_L62_); trivial. % 1.22/1.45 (* end of lemma zenon_L1016_ *) % 1.22/1.45 assert (zenon_L1017_ : ((ndr1_0)/\((c0_1 (a16))/\((~(c2_1 (a16)))/\(~(c3_1 (a16)))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a18))/\((c2_1 (a18))/\(~(c3_1 (a18))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> ((hskp25)\/((hskp17)\/(hskp21))) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> (~(hskp7)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(hskp7)) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a19))/\((~(c1_1 (a19)))/\(~(c3_1 (a19))))))) -> False). % 1.22/1.45 do 0 intro. intros zenon_H216 zenon_H212 zenon_Hd3 zenon_H95 zenon_H9c zenon_H1c1 zenon_H1c6 zenon_H1c2 zenon_H1ee zenon_H1da zenon_H166 zenon_H43 zenon_H235 zenon_H234 zenon_H233 zenon_H130 zenon_H254 zenon_H255 zenon_H256 zenon_H14a zenon_H167 zenon_H93 zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_Hfc zenon_H17b zenon_H1 zenon_Hb7 zenon_H213. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_H1a. zenon_intro zenon_H21a. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_Heb. zenon_intro zenon_H21b. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_He9. zenon_intro zenon_Hea. % 1.22/1.45 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H2d | zenon_intro zenon_H217 ]. % 1.22/1.45 apply (zenon_L1016_); trivial. % 1.22/1.45 apply (zenon_L445_); trivial. % 1.22/1.45 (* end of lemma zenon_L1017_ *) % 1.22/1.45 assert (zenon_L1018_ : ((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (~(c2_1 (a6))) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> (~(c1_1 (a31))) -> (c2_1 (a31)) -> (c0_1 (a31)) -> (~(hskp10)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> (~(c1_1 (a19))) -> (~(c3_1 (a19))) -> (c2_1 (a19)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> False). % 1.22/1.45 do 0 intro. intros zenon_H1d7 zenon_H167 zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_H1f0 zenon_H1ee zenon_H256 zenon_H255 zenon_H254 zenon_H233 zenon_H234 zenon_H235 zenon_H32 zenon_H33 zenon_H3c zenon_H2d zenon_H43 zenon_H1c2 zenon_Hae zenon_Haf zenon_Hb0 zenon_Hd3 zenon_H1c1. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H1a. zenon_intro zenon_H1d8. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1d0. zenon_intro zenon_H1d9. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1ce. zenon_intro zenon_H1cf. % 1.22/1.45 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H12c | zenon_intro zenon_H148 ]. % 1.22/1.45 apply (zenon_L476_); trivial. % 1.22/1.45 apply (zenon_L935_); trivial. % 1.22/1.45 (* end of lemma zenon_L1018_ *) % 1.22/1.45 assert (zenon_L1019_ : ((ndr1_0)/\((c0_1 (a18))/\((c2_1 (a18))/\(~(c3_1 (a18)))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a19))/\((~(c1_1 (a19)))/\(~(c3_1 (a19))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((hskp9)\/(hskp24))) -> (~(hskp9)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp27)\/(hskp26))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> (~(c0_1 (a7))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a11))/\((c1_1 (a11))/\(c3_1 (a11)))))) -> (c3_1 (a14)) -> (~(c2_1 (a14))) -> (c0_1 (a14)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> ((hskp25)\/((hskp17)\/(hskp21))) -> (~(hskp1)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(~(c3_1 (a25))))))) -> False). % 1.22/1.45 do 0 intro. intros zenon_H217 zenon_H213 zenon_H1f0 zenon_H95 zenon_H177 zenon_H17b zenon_H1c1 zenon_Hd3 zenon_H254 zenon_H255 zenon_H256 zenon_H14a zenon_H1c6 zenon_H7b zenon_H3 zenon_H1f2 zenon_H1c2 zenon_H93 zenon_H234 zenon_H235 zenon_H233 zenon_H1ee zenon_H97 zenon_H121 zenon_H11f zenon_H120 zenon_H149 zenon_H167 zenon_H48 zenon_H1da zenon_H17a zenon_Hfc zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_H130 zenon_Hde zenon_H162 zenon_H166 zenon_H12a zenon_H9c zenon_H1a2. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H1a. zenon_intro zenon_H218. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_He0. zenon_intro zenon_H219. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_Hc2. zenon_intro zenon_Hc1. % 1.22/1.45 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H91 | zenon_intro zenon_He5 ]. % 1.22/1.45 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H146 | zenon_intro zenon_H19f ]. % 1.22/1.45 apply (zenon_L480_); trivial. % 1.22/1.45 apply (zenon_L956_); trivial. % 1.22/1.45 apply (zenon_L938_); trivial. % 1.22/1.45 (* end of lemma zenon_L1019_ *) % 1.22/1.45 assert (zenon_L1020_ : ((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> (~(c1_1 (a19))) -> (~(c3_1 (a19))) -> (c2_1 (a19)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (~(c2_1 (a6))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> (~(c2_1 (a16))) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> False). % 1.22/1.45 do 0 intro. intros zenon_H9e zenon_H1da zenon_H167 zenon_Hae zenon_Haf zenon_Hb0 zenon_H1f0 zenon_H1ee zenon_H256 zenon_H255 zenon_H254 zenon_H1c2 zenon_H43 zenon_H2d zenon_H1c6 zenon_H235 zenon_H234 zenon_H233 zenon_He9 zenon_Hea zenon_Heb zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_Hfc zenon_H1c1. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.22/1.45 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.22/1.45 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.22/1.45 apply (zenon_L1011_); trivial. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H1a. zenon_intro zenon_H1d8. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1d0. zenon_intro zenon_H1d9. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1ce. zenon_intro zenon_H1cf. % 1.22/1.45 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H12c | zenon_intro zenon_H148 ]. % 1.22/1.45 apply (zenon_L1012_); trivial. % 1.22/1.45 apply (zenon_L935_); trivial. % 1.22/1.45 (* end of lemma zenon_L1020_ *) % 1.22/1.45 assert (zenon_L1021_ : ((ndr1_0)/\((c0_1 (a16))/\((~(c2_1 (a16)))/\(~(c3_1 (a16)))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a18))/\((c2_1 (a18))/\(~(c3_1 (a18))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> (c3_1 (a14)) -> (c0_1 (a14)) -> (~(c2_1 (a14))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> (~(hskp1)) -> ((hskp25)\/((hskp17)\/(hskp21))) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a19))/\((~(c1_1 (a19)))/\(~(c3_1 (a19))))))) -> False). % 1.22/1.45 do 0 intro. intros zenon_H216 zenon_H212 zenon_Hd3 zenon_H9c zenon_H93 zenon_H1c1 zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_H1c6 zenon_Hfc zenon_H1c2 zenon_H1ee zenon_H1da zenon_H12a zenon_H121 zenon_H120 zenon_H11f zenon_H166 zenon_H162 zenon_Hde zenon_H130 zenon_H254 zenon_H255 zenon_H256 zenon_H14a zenon_H167 zenon_H177 zenon_H17b zenon_H17a zenon_H233 zenon_H234 zenon_H235 zenon_H43 zenon_H1f0 zenon_H213. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_H1a. zenon_intro zenon_H21a. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_Heb. zenon_intro zenon_H21b. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_He9. zenon_intro zenon_Hea. % 1.22/1.45 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H2d | zenon_intro zenon_H217 ]. % 1.22/1.45 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H91 | zenon_intro zenon_He5 ]. % 1.22/1.45 apply (zenon_L965_); trivial. % 1.22/1.45 apply (zenon_and_s _ _ zenon_He5). zenon_intro zenon_H1a. zenon_intro zenon_He6. % 1.22/1.45 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_Hb0. zenon_intro zenon_He7. % 1.22/1.45 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hae. zenon_intro zenon_Haf. % 1.22/1.45 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.22/1.45 apply (zenon_L468_); trivial. % 1.22/1.45 apply (zenon_L1020_); trivial. % 1.22/1.45 apply (zenon_L969_); trivial. % 1.22/1.45 (* end of lemma zenon_L1021_ *) % 1.22/1.45 assert (zenon_L1022_ : ((~(hskp11))\/((ndr1_0)/\((c2_1 (a19))/\((~(c1_1 (a19)))/\(~(c3_1 (a19))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(hskp7)) -> ((hskp7)\/((hskp9)\/(hskp13))) -> (~(hskp9)) -> (~(hskp7)) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> (~(hskp1)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp10)) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> ((hskp25)\/((hskp17)\/(hskp21))) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> (c0_1 (a8)) -> (~(c2_1 (a8))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c0_1 (a22)))/\((~(c2_1 (a22)))/\(~(c3_1 (a22))))))) -> False). % 1.22/1.45 do 0 intro. intros zenon_H213 zenon_Hb7 zenon_H7 zenon_H3 zenon_H1 zenon_H17a zenon_H177 zenon_Hde zenon_H162 zenon_H166 zenon_H43 zenon_H2d zenon_H235 zenon_H234 zenon_H233 zenon_H130 zenon_H254 zenon_H255 zenon_H256 zenon_H14a zenon_H167 zenon_H93 zenon_Hfc zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_H228 zenon_H21f zenon_H12a zenon_H17b zenon_H1ee zenon_H9c zenon_H287. % 1.22/1.45 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H91 | zenon_intro zenon_He5 ]. % 1.22/1.45 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H5 | zenon_intro zenon_H284 ]. % 1.22/1.45 apply (zenon_L4_); trivial. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H284). zenon_intro zenon_H1a. zenon_intro zenon_H285. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_H80. zenon_intro zenon_H286. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H286). zenon_intro zenon_H89. zenon_intro zenon_H81. % 1.22/1.45 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.22/1.45 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H128 | zenon_intro zenon_H17c ]. % 1.22/1.45 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.22/1.45 apply (zenon_L462_); trivial. % 1.22/1.45 apply (zenon_L910_); trivial. % 1.22/1.45 apply (zenon_L327_); trivial. % 1.22/1.45 apply (zenon_L442_); trivial. % 1.22/1.45 apply (zenon_L62_); trivial. % 1.22/1.45 (* end of lemma zenon_L1022_ *) % 1.22/1.45 assert (zenon_L1023_ : ((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (~(c2_1 (a6))) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> (~(hskp10)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((hskp9)\/(hskp24))) -> (~(hskp9)) -> (c0_1 (a8)) -> (c1_1 (a8)) -> (~(c2_1 (a8))) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(c3_1 (a19))) -> (~(c1_1 (a19))) -> (c2_1 (a19)) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> False). % 1.22/1.45 do 0 intro. intros zenon_H9e zenon_H1da zenon_H167 zenon_H1f0 zenon_H1ee zenon_H256 zenon_H255 zenon_H254 zenon_H233 zenon_H234 zenon_H235 zenon_H2d zenon_H43 zenon_H1c2 zenon_H1c1 zenon_H7b zenon_H3 zenon_H228 zenon_H220 zenon_H21f zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_H1c6 zenon_Hfc zenon_H177 zenon_Hd3 zenon_Haf zenon_Hae zenon_Hb0 zenon_H48. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.22/1.45 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.22/1.45 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.22/1.45 apply (zenon_L884_); trivial. % 1.22/1.45 apply (zenon_L1018_); trivial. % 1.22/1.45 (* end of lemma zenon_L1023_ *) % 1.22/1.45 assert (zenon_L1024_ : (forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16)))))) -> (ndr1_0) -> (~(c0_1 (a2))) -> (~(c3_1 (a2))) -> (c2_1 (a2)) -> False). % 1.22/1.45 do 0 intro. intros zenon_H1ab zenon_H1a zenon_H2d7 zenon_H2d8 zenon_H2d9. % 1.22/1.45 generalize (zenon_H1ab (a2)). zenon_intro zenon_H2da. % 1.22/1.45 apply (zenon_imply_s _ _ zenon_H2da); [ zenon_intro zenon_H19 | zenon_intro zenon_H2db ]. % 1.22/1.45 exact (zenon_H19 zenon_H1a). % 1.22/1.45 apply (zenon_or_s _ _ zenon_H2db); [ zenon_intro zenon_H2dd | zenon_intro zenon_H2dc ]. % 1.22/1.45 exact (zenon_H2d7 zenon_H2dd). % 1.22/1.45 apply (zenon_or_s _ _ zenon_H2dc); [ zenon_intro zenon_H2df | zenon_intro zenon_H2de ]. % 1.22/1.45 exact (zenon_H2d8 zenon_H2df). % 1.22/1.45 exact (zenon_H2de zenon_H2d9). % 1.22/1.45 (* end of lemma zenon_L1024_ *) % 1.22/1.45 assert (zenon_L1025_ : ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> (c2_1 (a2)) -> (~(c3_1 (a2))) -> (~(c0_1 (a2))) -> (ndr1_0) -> (~(hskp25)) -> (~(hskp26)) -> False). % 1.22/1.45 do 0 intro. intros zenon_H1c2 zenon_H2d9 zenon_H2d8 zenon_H2d7 zenon_H1a zenon_H12c zenon_H1b3. % 1.22/1.45 apply (zenon_or_s _ _ zenon_H1c2); [ zenon_intro zenon_H1ab | zenon_intro zenon_H1c3 ]. % 1.22/1.45 apply (zenon_L1024_); trivial. % 1.22/1.45 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_H12d | zenon_intro zenon_H1b4 ]. % 1.22/1.45 exact (zenon_H12c zenon_H12d). % 1.22/1.45 exact (zenon_H1b3 zenon_H1b4). % 1.22/1.45 (* end of lemma zenon_L1025_ *) % 1.22/1.45 assert (zenon_L1026_ : (forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44)))))) -> (ndr1_0) -> (forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1)))))) -> (~(c0_1 (a2))) -> (c2_1 (a2)) -> (~(c3_1 (a2))) -> False). % 1.22/1.45 do 0 intro. intros zenon_Had zenon_H1a zenon_Hd6 zenon_H2d7 zenon_H2d9 zenon_H2d8. % 1.22/1.45 generalize (zenon_Had (a2)). zenon_intro zenon_H2e0. % 1.22/1.45 apply (zenon_imply_s _ _ zenon_H2e0); [ zenon_intro zenon_H19 | zenon_intro zenon_H2e1 ]. % 1.22/1.45 exact (zenon_H19 zenon_H1a). % 1.22/1.45 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H2e2 | zenon_intro zenon_H2dc ]. % 1.22/1.45 generalize (zenon_Hd6 (a2)). zenon_intro zenon_H2e3. % 1.22/1.45 apply (zenon_imply_s _ _ zenon_H2e3); [ zenon_intro zenon_H19 | zenon_intro zenon_H2e4 ]. % 1.22/1.45 exact (zenon_H19 zenon_H1a). % 1.22/1.45 apply (zenon_or_s _ _ zenon_H2e4); [ zenon_intro zenon_H2dd | zenon_intro zenon_H2e5 ]. % 1.22/1.45 exact (zenon_H2d7 zenon_H2dd). % 1.22/1.45 apply (zenon_or_s _ _ zenon_H2e5); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H2de ]. % 1.22/1.45 exact (zenon_H2e6 zenon_H2e2). % 1.22/1.45 exact (zenon_H2de zenon_H2d9). % 1.22/1.45 apply (zenon_or_s _ _ zenon_H2dc); [ zenon_intro zenon_H2df | zenon_intro zenon_H2de ]. % 1.22/1.45 exact (zenon_H2d8 zenon_H2df). % 1.22/1.45 exact (zenon_H2de zenon_H2d9). % 1.22/1.45 (* end of lemma zenon_L1026_ *) % 1.22/1.45 assert (zenon_L1027_ : ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (c3_1 (a10)) -> (c2_1 (a10)) -> (c0_1 (a10)) -> (~(c3_1 (a2))) -> (c2_1 (a2)) -> (~(c0_1 (a2))) -> (forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1)))))) -> (ndr1_0) -> False). % 1.22/1.45 do 0 intro. intros zenon_Hd3 zenon_H1b7 zenon_H1b6 zenon_H1b5 zenon_H2d8 zenon_H2d9 zenon_H2d7 zenon_Hd6 zenon_H1a. % 1.22/1.45 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_Had | zenon_intro zenon_Hcd ]. % 1.22/1.45 apply (zenon_L1026_); trivial. % 1.22/1.45 apply (zenon_L133_); trivial. % 1.22/1.45 (* end of lemma zenon_L1027_ *) % 1.22/1.45 assert (zenon_L1028_ : ((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp8)\/(hskp9))) -> (~(c0_1 (a2))) -> (c2_1 (a2)) -> (~(c3_1 (a2))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(hskp8)) -> (~(hskp9)) -> False). % 1.22/1.45 do 0 intro. intros zenon_H1be zenon_H1a3 zenon_H2d7 zenon_H2d9 zenon_H2d8 zenon_Hd3 zenon_Hb zenon_H3. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H1a. zenon_intro zenon_H1bf. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H1bf). zenon_intro zenon_H1b5. zenon_intro zenon_H1c0. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H1c0). zenon_intro zenon_H1b6. zenon_intro zenon_H1b7. % 1.22/1.45 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H1a4 ]. % 1.22/1.45 apply (zenon_L1027_); trivial. % 1.22/1.45 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_Hc | zenon_intro zenon_H4 ]. % 1.22/1.45 exact (zenon_Hb zenon_Hc). % 1.22/1.45 exact (zenon_H3 zenon_H4). % 1.22/1.45 (* end of lemma zenon_L1028_ *) % 1.22/1.45 assert (zenon_L1029_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp8)\/(hskp9))) -> (~(hskp9)) -> (~(hskp8)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (ndr1_0) -> (~(c0_1 (a2))) -> (~(c3_1 (a2))) -> (c2_1 (a2)) -> (~(hskp25)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> False). % 1.22/1.45 do 0 intro. intros zenon_H1c1 zenon_H1a3 zenon_H3 zenon_Hb zenon_Hd3 zenon_H1a zenon_H2d7 zenon_H2d8 zenon_H2d9 zenon_H12c zenon_H1c2. % 1.22/1.45 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1be ]. % 1.22/1.45 apply (zenon_L1025_); trivial. % 1.22/1.45 apply (zenon_L1028_); trivial. % 1.22/1.45 (* end of lemma zenon_L1029_ *) % 1.22/1.45 assert (zenon_L1030_ : ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(hskp7)) -> (~(hskp7)) -> (~(c3_1 (a2))) -> (c2_1 (a2)) -> (~(c0_1 (a2))) -> (forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1)))))) -> (ndr1_0) -> False). % 1.22/1.45 do 0 intro. intros zenon_Hb7 zenon_H1 zenon_H2d8 zenon_H2d9 zenon_H2d7 zenon_Hd6 zenon_H1a. % 1.22/1.45 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_Had | zenon_intro zenon_H2 ]. % 1.22/1.45 apply (zenon_L1026_); trivial. % 1.22/1.45 exact (zenon_H1 zenon_H2). % 1.22/1.45 (* end of lemma zenon_L1030_ *) % 1.22/1.45 assert (zenon_L1031_ : ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (c0_1 (a11)) -> (c3_1 (a11)) -> (c1_1 (a11)) -> (c0_1 (a9)) -> (c1_1 (a9)) -> (c2_1 (a9)) -> (~(hskp19)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(c3_1 (a2))) -> (c2_1 (a2)) -> (~(c0_1 (a2))) -> (forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1)))))) -> (ndr1_0) -> False). % 1.22/1.45 do 0 intro. intros zenon_Hd3 zenon_H9b zenon_H70 zenon_H6f zenon_H13b zenon_H13c zenon_H13d zenon_H144 zenon_H14a zenon_H2d8 zenon_H2d9 zenon_H2d7 zenon_Hd6 zenon_H1a. % 1.22/1.45 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_Had | zenon_intro zenon_Hcd ]. % 1.22/1.45 apply (zenon_L1026_); trivial. % 1.22/1.45 apply (zenon_L710_); trivial. % 1.22/1.45 (* end of lemma zenon_L1031_ *) % 1.22/1.45 assert (zenon_L1032_ : ((ndr1_0)/\((c0_1 (a11))/\((c1_1 (a11))/\(c3_1 (a11))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp8)\/(hskp9))) -> (~(c0_1 (a2))) -> (c2_1 (a2)) -> (~(c3_1 (a2))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp19)) -> (c2_1 (a9)) -> (c1_1 (a9)) -> (c0_1 (a9)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(hskp8)) -> (~(hskp9)) -> False). % 1.22/1.45 do 0 intro. intros zenon_H98 zenon_H1a3 zenon_H2d7 zenon_H2d9 zenon_H2d8 zenon_H14a zenon_H144 zenon_H13d zenon_H13c zenon_H13b zenon_Hd3 zenon_Hb zenon_H3. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H98). zenon_intro zenon_H1a. zenon_intro zenon_H99. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H99). zenon_intro zenon_H9b. zenon_intro zenon_H9a. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H9a). zenon_intro zenon_H6f. zenon_intro zenon_H70. % 1.22/1.45 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H1a4 ]. % 1.22/1.45 apply (zenon_L1031_); trivial. % 1.22/1.45 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_Hc | zenon_intro zenon_H4 ]. % 1.22/1.45 exact (zenon_Hb zenon_Hc). % 1.22/1.45 exact (zenon_H3 zenon_H4). % 1.22/1.45 (* end of lemma zenon_L1032_ *) % 1.22/1.45 assert (zenon_L1033_ : ((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp27)\/(hskp26))) -> (~(c0_1 (a2))) -> (c2_1 (a2)) -> (~(c3_1 (a2))) -> (~(hskp7)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(hskp7)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(hskp19)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp8)) -> (~(hskp9)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp8)\/(hskp9))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a11))/\((c1_1 (a11))/\(c3_1 (a11)))))) -> False). % 1.22/1.45 do 0 intro. intros zenon_H148 zenon_H1c1 zenon_H1f2 zenon_H2d7 zenon_H2d9 zenon_H2d8 zenon_H1 zenon_Hb7 zenon_Hd3 zenon_H144 zenon_H14a zenon_Hb zenon_H3 zenon_H1a3 zenon_H97. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H1a. zenon_intro zenon_H14b. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H13b. zenon_intro zenon_H14c. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H14c). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 1.22/1.45 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1be ]. % 1.22/1.45 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H98 ]. % 1.22/1.45 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H1f3 ]. % 1.22/1.45 apply (zenon_L1030_); trivial. % 1.22/1.45 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H5a | zenon_intro zenon_H1b4 ]. % 1.22/1.45 exact (zenon_H59 zenon_H5a). % 1.22/1.45 exact (zenon_H1b3 zenon_H1b4). % 1.22/1.45 apply (zenon_L1032_); trivial. % 1.22/1.45 apply (zenon_L1028_); trivial. % 1.22/1.45 (* end of lemma zenon_L1033_ *) % 1.22/1.45 assert (zenon_L1034_ : ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp27)\/(hskp26))) -> (~(hskp7)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(hskp7)) -> (~(hskp19)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a11))/\((c1_1 (a11))/\(c3_1 (a11)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> (c2_1 (a2)) -> (~(c3_1 (a2))) -> (~(c0_1 (a2))) -> (ndr1_0) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(hskp8)) -> (~(hskp9)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp8)\/(hskp9))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> False). % 1.22/1.45 do 0 intro. intros zenon_H167 zenon_H1f2 zenon_H1 zenon_Hb7 zenon_H144 zenon_H14a zenon_H97 zenon_H1c2 zenon_H2d9 zenon_H2d8 zenon_H2d7 zenon_H1a zenon_Hd3 zenon_Hb zenon_H3 zenon_H1a3 zenon_H1c1. % 1.22/1.45 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H12c | zenon_intro zenon_H148 ]. % 1.22/1.45 apply (zenon_L1029_); trivial. % 1.22/1.45 apply (zenon_L1033_); trivial. % 1.22/1.45 (* end of lemma zenon_L1034_ *) % 1.22/1.45 assert (zenon_L1035_ : (forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44)))))) -> (ndr1_0) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7)))))) -> (~(c0_1 (a2))) -> (~(c3_1 (a2))) -> (c2_1 (a2)) -> False). % 1.22/1.45 do 0 intro. intros zenon_Had zenon_H1a zenon_H7f zenon_H2d7 zenon_H2d8 zenon_H2d9. % 1.22/1.45 generalize (zenon_Had (a2)). zenon_intro zenon_H2e0. % 1.22/1.45 apply (zenon_imply_s _ _ zenon_H2e0); [ zenon_intro zenon_H19 | zenon_intro zenon_H2e1 ]. % 1.22/1.45 exact (zenon_H19 zenon_H1a). % 1.22/1.45 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H2e2 | zenon_intro zenon_H2dc ]. % 1.22/1.45 generalize (zenon_H7f (a2)). zenon_intro zenon_H2e7. % 1.22/1.45 apply (zenon_imply_s _ _ zenon_H2e7); [ zenon_intro zenon_H19 | zenon_intro zenon_H2e8 ]. % 1.22/1.45 exact (zenon_H19 zenon_H1a). % 1.22/1.45 apply (zenon_or_s _ _ zenon_H2e8); [ zenon_intro zenon_H2dd | zenon_intro zenon_H2e9 ]. % 1.22/1.45 exact (zenon_H2d7 zenon_H2dd). % 1.22/1.45 apply (zenon_or_s _ _ zenon_H2e9); [ zenon_intro zenon_H2df | zenon_intro zenon_H2e6 ]. % 1.22/1.45 exact (zenon_H2d8 zenon_H2df). % 1.22/1.45 exact (zenon_H2e6 zenon_H2e2). % 1.22/1.45 apply (zenon_or_s _ _ zenon_H2dc); [ zenon_intro zenon_H2df | zenon_intro zenon_H2de ]. % 1.22/1.45 exact (zenon_H2d8 zenon_H2df). % 1.22/1.45 exact (zenon_H2de zenon_H2d9). % 1.22/1.45 (* end of lemma zenon_L1035_ *) % 1.22/1.45 assert (zenon_L1036_ : ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((hskp6)\/(hskp26))) -> (c2_1 (a2)) -> (~(c3_1 (a2))) -> (~(c0_1 (a2))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7)))))) -> (ndr1_0) -> (~(hskp6)) -> (~(hskp26)) -> False). % 1.22/1.45 do 0 intro. intros zenon_H2ea zenon_H2d9 zenon_H2d8 zenon_H2d7 zenon_H7f zenon_H1a zenon_H2b zenon_H1b3. % 1.22/1.45 apply (zenon_or_s _ _ zenon_H2ea); [ zenon_intro zenon_Had | zenon_intro zenon_H2eb ]. % 1.22/1.45 apply (zenon_L1035_); trivial. % 1.22/1.45 apply (zenon_or_s _ _ zenon_H2eb); [ zenon_intro zenon_H2c | zenon_intro zenon_H1b4 ]. % 1.22/1.45 exact (zenon_H2b zenon_H2c). % 1.22/1.45 exact (zenon_H1b3 zenon_H1b4). % 1.22/1.45 (* end of lemma zenon_L1036_ *) % 1.22/1.45 assert (zenon_L1037_ : ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp8)\/(hskp9))) -> (c3_1 (a33)) -> (c2_1 (a33)) -> (~(c0_1 (a33))) -> (ndr1_0) -> (forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))) -> (~(hskp8)) -> (~(hskp9)) -> False). % 1.22/1.45 do 0 intro. intros zenon_H1a3 zenon_H171 zenon_H16a zenon_H168 zenon_H1a zenon_H31 zenon_Hb zenon_H3. % 1.22/1.45 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H1a4 ]. % 1.22/1.45 apply (zenon_L92_); trivial. % 1.22/1.45 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_Hc | zenon_intro zenon_H4 ]. % 1.22/1.45 exact (zenon_Hb zenon_Hc). % 1.22/1.45 exact (zenon_H3 zenon_H4). % 1.22/1.45 (* end of lemma zenon_L1037_ *) % 1.22/1.45 assert (zenon_L1038_ : ((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp8)\/(hskp9))) -> (~(hskp9)) -> (~(hskp8)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((hskp6)\/(hskp26))) -> (~(hskp6)) -> (c2_1 (a2)) -> (~(c3_1 (a2))) -> (~(c0_1 (a2))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> False). % 1.22/1.45 do 0 intro. intros zenon_H176 zenon_H1c1 zenon_Hd3 zenon_H1a3 zenon_H3 zenon_Hb zenon_H2ea zenon_H2b zenon_H2d9 zenon_H2d8 zenon_H2d7 zenon_H95. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1a. zenon_intro zenon_H178. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H16a. zenon_intro zenon_H179. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H171. zenon_intro zenon_H168. % 1.22/1.45 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1be ]. % 1.22/1.45 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H65 | zenon_intro zenon_H96 ]. % 1.22/1.45 apply (zenon_L154_); trivial. % 1.22/1.45 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H7f | zenon_intro zenon_H31 ]. % 1.22/1.45 apply (zenon_L1036_); trivial. % 1.22/1.45 apply (zenon_L1037_); trivial. % 1.22/1.45 apply (zenon_L1028_); trivial. % 1.22/1.45 (* end of lemma zenon_L1038_ *) % 1.22/1.45 assert (zenon_L1039_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((hskp6)\/(hskp26))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp8)\/(hskp9))) -> (~(hskp9)) -> (~(hskp8)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (ndr1_0) -> (~(c0_1 (a2))) -> (~(c3_1 (a2))) -> (c2_1 (a2)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a11))/\((c1_1 (a11))/\(c3_1 (a11)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(hskp7)) -> (~(hskp7)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp27)\/(hskp26))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> False). % 1.22/1.45 do 0 intro. intros zenon_H17b zenon_H2ea zenon_H2b zenon_H95 zenon_H1c1 zenon_H1a3 zenon_H3 zenon_Hb zenon_Hd3 zenon_H1a zenon_H2d7 zenon_H2d8 zenon_H2d9 zenon_H1c2 zenon_H97 zenon_H14a zenon_Hb7 zenon_H1 zenon_H1f2 zenon_H167. % 1.22/1.45 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.22/1.45 apply (zenon_L1034_); trivial. % 1.22/1.45 apply (zenon_L1038_); trivial. % 1.22/1.45 (* end of lemma zenon_L1039_ *) % 1.22/1.45 assert (zenon_L1040_ : ((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> (c2_1 (a2)) -> (~(c3_1 (a2))) -> (~(c0_1 (a2))) -> (~(hskp14)) -> (~(hskp2)) -> (~(c2_1 (a16))) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((hskp2)\/(hskp14))) -> False). % 1.22/1.45 do 0 intro. intros zenon_H148 zenon_H1f0 zenon_H2d9 zenon_H2d8 zenon_H2d7 zenon_H100 zenon_Hfe zenon_He9 zenon_Hea zenon_Heb zenon_H113. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H1a. zenon_intro zenon_H14b. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H13b. zenon_intro zenon_H14c. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H14c). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 1.22/1.45 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H1ab | zenon_intro zenon_H1f1 ]. % 1.22/1.45 apply (zenon_L1024_); trivial. % 1.22/1.45 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H1c ]. % 1.22/1.45 apply (zenon_L163_); trivial. % 1.22/1.45 apply (zenon_L83_); trivial. % 1.22/1.45 (* end of lemma zenon_L1040_ *) % 1.22/1.45 assert (zenon_L1041_ : ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> (c2_1 (a2)) -> (~(c3_1 (a2))) -> (~(c0_1 (a2))) -> (ndr1_0) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (~(c2_1 (a16))) -> (~(hskp2)) -> (~(hskp14)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((hskp2)\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> False). % 1.22/1.45 do 0 intro. intros zenon_H167 zenon_H1f0 zenon_H1c2 zenon_H2d9 zenon_H2d8 zenon_H2d7 zenon_H1a zenon_Hfc zenon_Heb zenon_Hea zenon_He9 zenon_Hfe zenon_H100 zenon_H113 zenon_H1c1. % 1.22/1.45 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H12c | zenon_intro zenon_H148 ]. % 1.22/1.45 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1be ]. % 1.22/1.45 apply (zenon_L1025_); trivial. % 1.22/1.45 apply (zenon_L174_); trivial. % 1.22/1.45 apply (zenon_L1040_); trivial. % 1.22/1.45 (* end of lemma zenon_L1041_ *) % 1.22/1.45 assert (zenon_L1042_ : ((ndr1_0)/\((c0_1 (a16))/\((~(c2_1 (a16)))/\(~(c3_1 (a16)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a24))/\((~(c0_1 (a24)))/\(~(c1_1 (a24))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp2)\/(hskp3))) -> (~(hskp3)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((hskp2)\/(hskp14))) -> (~(hskp2)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(c0_1 (a2))) -> (~(c3_1 (a2))) -> (c2_1 (a2)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> False). % 1.22/1.45 do 0 intro. intros zenon_H216 zenon_H112 zenon_H10e zenon_H10b zenon_H1c1 zenon_H113 zenon_Hfe zenon_Hfc zenon_H2d7 zenon_H2d8 zenon_H2d9 zenon_H1c2 zenon_H1f0 zenon_H167. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_H1a. zenon_intro zenon_H21a. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_Heb. zenon_intro zenon_H21b. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_He9. zenon_intro zenon_Hea. % 1.22/1.45 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_H100 | zenon_intro zenon_H10d ]. % 1.22/1.45 apply (zenon_L1041_); trivial. % 1.22/1.45 apply (zenon_L71_); trivial. % 1.22/1.45 (* end of lemma zenon_L1042_ *) % 1.22/1.45 assert (zenon_L1043_ : ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (c3_1 (a3)) -> (c2_1 (a3)) -> (c1_1 (a3)) -> (~(c3_1 (a2))) -> (c2_1 (a2)) -> (~(c0_1 (a2))) -> (forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1)))))) -> (ndr1_0) -> False). % 1.22/1.45 do 0 intro. intros zenon_Hd3 zenon_H1f zenon_H1e zenon_H1d zenon_H2d8 zenon_H2d9 zenon_H2d7 zenon_Hd6 zenon_H1a. % 1.22/1.45 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_Had | zenon_intro zenon_Hcd ]. % 1.22/1.45 apply (zenon_L1026_); trivial. % 1.22/1.45 apply (zenon_L53_); trivial. % 1.22/1.45 (* end of lemma zenon_L1043_ *) % 1.22/1.45 assert (zenon_L1044_ : ((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp8)\/(hskp9))) -> (~(c0_1 (a2))) -> (c2_1 (a2)) -> (~(c3_1 (a2))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(hskp8)) -> (~(hskp9)) -> False). % 1.22/1.45 do 0 intro. intros zenon_H41 zenon_H1a3 zenon_H2d7 zenon_H2d9 zenon_H2d8 zenon_Hd3 zenon_Hb zenon_H3. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H1a. zenon_intro zenon_H44. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H1d. zenon_intro zenon_H45. % 1.22/1.45 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H1e. zenon_intro zenon_H1f. % 1.22/1.45 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H1a4 ]. % 1.22/1.45 apply (zenon_L1043_); trivial. % 1.22/1.45 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_Hc | zenon_intro zenon_H4 ]. % 1.22/1.45 exact (zenon_Hb zenon_Hc). % 1.22/1.45 exact (zenon_H3 zenon_H4). % 1.22/1.45 (* end of lemma zenon_L1044_ *) % 1.22/1.46 assert (zenon_L1045_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp8)\/(hskp9))) -> (~(hskp9)) -> (~(hskp8)) -> (~(c0_1 (a2))) -> (c2_1 (a2)) -> (~(c3_1 (a2))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(hskp23)) -> (~(hskp0)) -> ((hskp24)\/((hskp23)\/(hskp0))) -> False). % 1.22/1.46 do 0 intro. intros zenon_H48 zenon_H1a3 zenon_H3 zenon_Hb zenon_H2d7 zenon_H2d9 zenon_H2d8 zenon_Hd3 zenon_H13 zenon_H15 zenon_H17. % 1.22/1.46 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H11 | zenon_intro zenon_H41 ]. % 1.22/1.46 apply (zenon_L12_); trivial. % 1.22/1.46 apply (zenon_L1044_); trivial. % 1.22/1.46 (* end of lemma zenon_L1045_ *) % 1.22/1.46 assert (zenon_L1046_ : ((~(hskp23))\/((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((hskp9)\/(hskp24))) -> (c3_1 (a14)) -> (c0_1 (a14)) -> (~(c2_1 (a14))) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> ((hskp24)\/((hskp23)\/(hskp0))) -> (~(hskp0)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(c3_1 (a2))) -> (c2_1 (a2)) -> (~(c0_1 (a2))) -> (~(hskp8)) -> (~(hskp9)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp8)\/(hskp9))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> False). % 1.22/1.46 do 0 intro. intros zenon_H9d zenon_H7b zenon_H121 zenon_H120 zenon_H11f zenon_Hd zenon_H1a9 zenon_H17 zenon_H15 zenon_Hd3 zenon_H2d8 zenon_H2d9 zenon_H2d7 zenon_Hb zenon_H3 zenon_H1a3 zenon_H48. % 1.22/1.46 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H13 | zenon_intro zenon_Ha1 ]. % 1.22/1.46 apply (zenon_L1045_); trivial. % 1.22/1.46 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H1a. zenon_intro zenon_Ha2. % 1.22/1.46 apply (zenon_and_s _ _ zenon_Ha2). zenon_intro zenon_H4d. zenon_intro zenon_Ha3. % 1.22/1.46 apply (zenon_and_s _ _ zenon_Ha3). zenon_intro zenon_H4a. zenon_intro zenon_H4c. % 1.22/1.46 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H11 | zenon_intro zenon_H41 ]. % 1.22/1.46 apply (zenon_L127_); trivial. % 1.22/1.46 apply (zenon_L1044_); trivial. % 1.22/1.46 (* end of lemma zenon_L1046_ *) % 1.22/1.46 assert (zenon_L1047_ : ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7)))))) -> (~(c0_1 (a2))) -> (~(c3_1 (a2))) -> (c2_1 (a2)) -> (c1_1 (a3)) -> (c3_1 (a3)) -> (c2_1 (a3)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (c2_1 (a24)) -> (~(c1_1 (a24))) -> (~(c0_1 (a24))) -> (ndr1_0) -> (forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z))))) -> (~(hskp10)) -> False). % 1.22/1.46 do 0 intro. intros zenon_H43 zenon_H7f zenon_H2d7 zenon_H2d8 zenon_H2d9 zenon_H1d zenon_H1f zenon_H1e zenon_Hd3 zenon_H104 zenon_H103 zenon_H102 zenon_H1a zenon_Hb8 zenon_H2d. % 1.22/1.46 apply (zenon_or_s _ _ zenon_H43); [ zenon_intro zenon_H1b | zenon_intro zenon_H47 ]. % 1.22/1.46 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_Had | zenon_intro zenon_Hcd ]. % 1.22/1.46 apply (zenon_L1035_); trivial. % 1.22/1.46 apply (zenon_L128_); trivial. % 1.22/1.46 apply (zenon_or_s _ _ zenon_H47); [ zenon_intro zenon_H31 | zenon_intro zenon_H2e ]. % 1.22/1.46 apply (zenon_L291_); trivial. % 1.22/1.46 exact (zenon_H2d zenon_H2e). % 1.22/1.46 (* end of lemma zenon_L1047_ *) % 1.22/1.46 assert (zenon_L1048_ : ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (~(hskp10)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (c2_1 (a3)) -> (c3_1 (a3)) -> (c1_1 (a3)) -> (c2_1 (a2)) -> (~(c3_1 (a2))) -> (~(c0_1 (a2))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z))))) -> (ndr1_0) -> (~(c0_1 (a24))) -> (~(c1_1 (a24))) -> (c2_1 (a24)) -> False). % 1.22/1.46 do 0 intro. intros zenon_H95 zenon_H2d zenon_Hd3 zenon_H1e zenon_H1f zenon_H1d zenon_H2d9 zenon_H2d8 zenon_H2d7 zenon_H43 zenon_Hb8 zenon_H1a zenon_H102 zenon_H103 zenon_H104. % 1.22/1.46 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H65 | zenon_intro zenon_H96 ]. % 1.22/1.46 apply (zenon_L69_); trivial. % 1.22/1.46 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H7f | zenon_intro zenon_H31 ]. % 1.22/1.46 apply (zenon_L1047_); trivial. % 1.22/1.46 apply (zenon_L291_); trivial. % 1.22/1.46 (* end of lemma zenon_L1048_ *) % 1.22/1.46 assert (zenon_L1049_ : ((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> (~(c0_1 (a24))) -> (~(c1_1 (a24))) -> (c2_1 (a24)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp10)) -> (~(c0_1 (a2))) -> (~(c3_1 (a2))) -> (c2_1 (a2)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> False). % 1.22/1.46 do 0 intro. intros zenon_H41 zenon_H177 zenon_H102 zenon_H103 zenon_H104 zenon_H43 zenon_H2d zenon_H2d7 zenon_H2d8 zenon_H2d9 zenon_Hd3 zenon_H95. % 1.22/1.46 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H1a. zenon_intro zenon_H44. % 1.22/1.46 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H1d. zenon_intro zenon_H45. % 1.22/1.46 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H1e. zenon_intro zenon_H1f. % 1.22/1.46 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hd6 ]. % 1.22/1.46 apply (zenon_L1048_); trivial. % 1.22/1.46 apply (zenon_L1043_); trivial. % 1.22/1.46 (* end of lemma zenon_L1049_ *) % 1.22/1.46 assert (zenon_L1050_ : ((ndr1_0)/\((c2_1 (a24))/\((~(c0_1 (a24)))/\(~(c1_1 (a24)))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> (~(hskp4)) -> (c0_1 (a15)) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> ((hskp24)\/((hskp23)\/(hskp0))) -> (~(hskp0)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (c2_1 (a2)) -> (~(c3_1 (a2))) -> (~(c0_1 (a2))) -> (~(hskp10)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> False). % 1.22/1.46 do 0 intro. intros zenon_H10d zenon_H9d zenon_H1a9 zenon_Hd zenon_H117 zenon_H116 zenon_H115 zenon_H17 zenon_H15 zenon_H95 zenon_Hd3 zenon_H2d9 zenon_H2d8 zenon_H2d7 zenon_H2d zenon_H43 zenon_H177 zenon_H48. % 1.22/1.46 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_H1a. zenon_intro zenon_H10f. % 1.22/1.46 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H104. zenon_intro zenon_H110. % 1.22/1.46 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_H102. zenon_intro zenon_H103. % 1.22/1.46 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H13 | zenon_intro zenon_Ha1 ]. % 1.22/1.46 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H11 | zenon_intro zenon_H41 ]. % 1.22/1.46 apply (zenon_L12_); trivial. % 1.22/1.46 apply (zenon_L1049_); trivial. % 1.22/1.46 apply (zenon_L511_); trivial. % 1.22/1.46 (* end of lemma zenon_L1050_ *) % 1.22/1.46 assert (zenon_L1051_ : ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (c3_1 (a10)) -> (c2_1 (a10)) -> (c0_1 (a10)) -> (c2_1 (a2)) -> (~(c3_1 (a2))) -> (~(c0_1 (a2))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7)))))) -> (ndr1_0) -> False). % 1.22/1.46 do 0 intro. intros zenon_Hd3 zenon_H1b7 zenon_H1b6 zenon_H1b5 zenon_H2d9 zenon_H2d8 zenon_H2d7 zenon_H7f zenon_H1a. % 1.22/1.46 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_Had | zenon_intro zenon_Hcd ]. % 1.22/1.46 apply (zenon_L1035_); trivial. % 1.22/1.46 apply (zenon_L133_); trivial. % 1.22/1.46 (* end of lemma zenon_L1051_ *) % 1.22/1.46 assert (zenon_L1052_ : ((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> (~(c0_1 (a24))) -> (~(c1_1 (a24))) -> (c2_1 (a24)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (c2_1 (a2)) -> (~(c3_1 (a2))) -> (~(c0_1 (a2))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> False). % 1.22/1.46 do 0 intro. intros zenon_H1be zenon_H177 zenon_H102 zenon_H103 zenon_H104 zenon_Hd3 zenon_H2d9 zenon_H2d8 zenon_H2d7 zenon_H95. % 1.22/1.46 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H1a. zenon_intro zenon_H1bf. % 1.22/1.46 apply (zenon_and_s _ _ zenon_H1bf). zenon_intro zenon_H1b5. zenon_intro zenon_H1c0. % 1.22/1.46 apply (zenon_and_s _ _ zenon_H1c0). zenon_intro zenon_H1b6. zenon_intro zenon_H1b7. % 1.22/1.46 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hd6 ]. % 1.22/1.46 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H65 | zenon_intro zenon_H96 ]. % 1.22/1.46 apply (zenon_L69_); trivial. % 1.22/1.46 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H7f | zenon_intro zenon_H31 ]. % 1.22/1.46 apply (zenon_L1051_); trivial. % 1.22/1.46 apply (zenon_L291_); trivial. % 1.22/1.46 apply (zenon_L1027_); trivial. % 1.22/1.46 (* end of lemma zenon_L1052_ *) % 1.22/1.46 assert (zenon_L1053_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> (~(c0_1 (a24))) -> (~(c1_1 (a24))) -> (c2_1 (a24)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (c2_1 (a2)) -> (~(c3_1 (a2))) -> (~(c0_1 (a2))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (ndr1_0) -> (~(c3_1 (a18))) -> (c0_1 (a18)) -> (c2_1 (a18)) -> (~(hskp20)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> False). % 1.22/1.46 do 0 intro. intros zenon_H1c1 zenon_H177 zenon_H102 zenon_H103 zenon_H104 zenon_Hd3 zenon_H2d9 zenon_H2d8 zenon_H2d7 zenon_H95 zenon_H1a zenon_Hc1 zenon_He0 zenon_Hc2 zenon_H1c4 zenon_H1c6. % 1.22/1.46 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1be ]. % 1.22/1.46 apply (zenon_L197_); trivial. % 1.22/1.46 apply (zenon_L1052_); trivial. % 1.22/1.46 (* end of lemma zenon_L1053_ *) % 1.22/1.46 assert (zenon_L1054_ : ((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> (~(c0_1 (a2))) -> (c2_1 (a2)) -> (~(c3_1 (a2))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(c0_1 (a24))) -> (~(c1_1 (a24))) -> (c2_1 (a24)) -> (~(c0_1 (a37))) -> (~(c3_1 (a37))) -> (c1_1 (a37)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> False). % 1.22/1.46 do 0 intro. intros zenon_H1be zenon_H177 zenon_H2d7 zenon_H2d9 zenon_H2d8 zenon_Hd3 zenon_H102 zenon_H103 zenon_H104 zenon_H1ce zenon_H1cf zenon_H1d0 zenon_H95. % 1.22/1.46 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H1a. zenon_intro zenon_H1bf. % 1.22/1.46 apply (zenon_and_s _ _ zenon_H1bf). zenon_intro zenon_H1b5. zenon_intro zenon_H1c0. % 1.22/1.46 apply (zenon_and_s _ _ zenon_H1c0). zenon_intro zenon_H1b6. zenon_intro zenon_H1b7. % 1.22/1.46 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hd6 ]. % 1.22/1.46 apply (zenon_L310_); trivial. % 1.22/1.46 apply (zenon_L1027_); trivial. % 1.22/1.46 (* end of lemma zenon_L1054_ *) % 1.22/1.46 assert (zenon_L1055_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(c0_1 (a24))) -> (~(c1_1 (a24))) -> (c2_1 (a24)) -> (~(c0_1 (a37))) -> (~(c3_1 (a37))) -> (c1_1 (a37)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (ndr1_0) -> (~(c0_1 (a2))) -> (~(c3_1 (a2))) -> (c2_1 (a2)) -> (~(hskp25)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> False). % 1.22/1.46 do 0 intro. intros zenon_H1c1 zenon_H177 zenon_Hd3 zenon_H102 zenon_H103 zenon_H104 zenon_H1ce zenon_H1cf zenon_H1d0 zenon_H95 zenon_H1a zenon_H2d7 zenon_H2d8 zenon_H2d9 zenon_H12c zenon_H1c2. % 1.22/1.46 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1be ]. % 1.22/1.46 apply (zenon_L1025_); trivial. % 1.22/1.46 apply (zenon_L1054_); trivial. % 1.22/1.46 (* end of lemma zenon_L1055_ *) % 1.22/1.46 assert (zenon_L1056_ : ((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (~(hskp15)) -> (c0_1 (a14)) -> (~(c2_1 (a14))) -> (c3_1 (a14)) -> (~(hskp19)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> (c2_1 (a2)) -> (~(c3_1 (a2))) -> (~(c0_1 (a2))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (c2_1 (a24)) -> (~(c1_1 (a24))) -> (~(c0_1 (a24))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> False). % 1.22/1.46 do 0 intro. intros zenon_H1d7 zenon_H167 zenon_H149 zenon_H146 zenon_H120 zenon_H11f zenon_H121 zenon_H144 zenon_H14a zenon_H1c2 zenon_H2d9 zenon_H2d8 zenon_H2d7 zenon_H95 zenon_H104 zenon_H103 zenon_H102 zenon_Hd3 zenon_H177 zenon_H1c1. % 1.22/1.46 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H1a. zenon_intro zenon_H1d8. % 1.22/1.46 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1d0. zenon_intro zenon_H1d9. % 1.22/1.46 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1ce. zenon_intro zenon_H1cf. % 1.22/1.46 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H12c | zenon_intro zenon_H148 ]. % 1.22/1.46 apply (zenon_L1055_); trivial. % 1.22/1.46 apply (zenon_L86_); trivial. % 1.22/1.46 (* end of lemma zenon_L1056_ *) % 1.22/1.46 assert (zenon_L1057_ : ((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> (~(c0_1 (a2))) -> (c2_1 (a2)) -> (~(c3_1 (a2))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(c0_1 (a24))) -> (~(c1_1 (a24))) -> (c2_1 (a24)) -> (~(c0_1 (a37))) -> (~(c3_1 (a37))) -> (c1_1 (a37)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> False). % 1.22/1.46 do 0 intro. intros zenon_H41 zenon_H177 zenon_H2d7 zenon_H2d9 zenon_H2d8 zenon_Hd3 zenon_H102 zenon_H103 zenon_H104 zenon_H1ce zenon_H1cf zenon_H1d0 zenon_H95. % 1.22/1.46 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H1a. zenon_intro zenon_H44. % 1.22/1.46 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H1d. zenon_intro zenon_H45. % 1.22/1.46 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H1e. zenon_intro zenon_H1f. % 1.22/1.46 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hd6 ]. % 1.22/1.46 apply (zenon_L310_); trivial. % 1.22/1.46 apply (zenon_L1043_); trivial. % 1.22/1.46 (* end of lemma zenon_L1057_ *) % 1.22/1.46 assert (zenon_L1058_ : ((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> (~(c0_1 (a2))) -> (c2_1 (a2)) -> (~(c3_1 (a2))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (c2_1 (a24)) -> (~(c1_1 (a24))) -> (~(c0_1 (a24))) -> (~(c3_1 (a25))) -> (c0_1 (a25)) -> (c1_1 (a25)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp24))) -> False). % 1.22/1.46 do 0 intro. intros zenon_H1d7 zenon_H48 zenon_H177 zenon_H2d7 zenon_H2d9 zenon_H2d8 zenon_Hd3 zenon_H95 zenon_H104 zenon_H103 zenon_H102 zenon_H18e zenon_H18f zenon_H19a zenon_H1f8. % 1.22/1.46 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H1a. zenon_intro zenon_H1d8. % 1.22/1.46 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1d0. zenon_intro zenon_H1d9. % 1.22/1.46 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1ce. zenon_intro zenon_H1cf. % 1.22/1.46 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H11 | zenon_intro zenon_H41 ]. % 1.22/1.46 apply (zenon_L542_); trivial. % 1.22/1.46 apply (zenon_L1057_); trivial. % 1.22/1.46 (* end of lemma zenon_L1058_ *) % 1.22/1.46 assert (zenon_L1059_ : ((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(~(c3_1 (a25)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp24))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> (c2_1 (a18)) -> (c0_1 (a18)) -> (~(c3_1 (a18))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (~(c0_1 (a2))) -> (~(c3_1 (a2))) -> (c2_1 (a2)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (c2_1 (a24)) -> (~(c1_1 (a24))) -> (~(c0_1 (a24))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> False). % 1.22/1.46 do 0 intro. intros zenon_H19f zenon_H1da zenon_H48 zenon_H1f8 zenon_H1c6 zenon_Hc2 zenon_He0 zenon_Hc1 zenon_H95 zenon_H2d7 zenon_H2d8 zenon_H2d9 zenon_Hd3 zenon_H104 zenon_H103 zenon_H102 zenon_H177 zenon_H1c1. % 1.22/1.46 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H1a. zenon_intro zenon_H1a0. % 1.22/1.46 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H18f. zenon_intro zenon_H1a1. % 1.22/1.46 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H19a. zenon_intro zenon_H18e. % 1.22/1.46 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.22/1.46 apply (zenon_L1053_); trivial. % 1.22/1.46 apply (zenon_L1058_); trivial. % 1.22/1.46 (* end of lemma zenon_L1059_ *) % 1.22/1.46 assert (zenon_L1060_ : ((ndr1_0)/\((c2_1 (a24))/\((~(c0_1 (a24)))/\(~(c1_1 (a24)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(~(c3_1 (a25))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp24))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (c0_1 (a14)) -> (~(c2_1 (a14))) -> (c3_1 (a14)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> (c2_1 (a18)) -> (c0_1 (a18)) -> (~(c3_1 (a18))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (~(c0_1 (a2))) -> (~(c3_1 (a2))) -> (c2_1 (a2)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> (~(hskp11)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> False). % 1.22/1.46 do 0 intro. intros zenon_H10d zenon_H1a2 zenon_H48 zenon_H1f8 zenon_H1da zenon_H167 zenon_H149 zenon_H120 zenon_H11f zenon_H121 zenon_H14a zenon_H1c2 zenon_H1c6 zenon_Hc2 zenon_He0 zenon_Hc1 zenon_H95 zenon_H2d7 zenon_H2d8 zenon_H2d9 zenon_Hd3 zenon_H177 zenon_H1c1 zenon_H91 zenon_H93 zenon_H17b. % 1.22/1.46 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_H1a. zenon_intro zenon_H10f. % 1.22/1.46 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H104. zenon_intro zenon_H110. % 1.22/1.46 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_H102. zenon_intro zenon_H103. % 1.22/1.46 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H146 | zenon_intro zenon_H19f ]. % 1.22/1.46 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.22/1.46 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.22/1.46 apply (zenon_L1053_); trivial. % 1.22/1.46 apply (zenon_L1056_); trivial. % 1.22/1.46 apply (zenon_L153_); trivial. % 1.22/1.46 apply (zenon_L1059_); trivial. % 1.22/1.46 (* end of lemma zenon_L1060_ *) % 1.22/1.46 assert (zenon_L1061_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (~(hskp15)) -> (c0_1 (a14)) -> (~(c2_1 (a14))) -> (c3_1 (a14)) -> (~(hskp19)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> (c2_1 (a2)) -> (~(c3_1 (a2))) -> (~(c0_1 (a2))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (c2_1 (a24)) -> (~(c1_1 (a24))) -> (~(c0_1 (a24))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> (c2_1 (a18)) -> (c0_1 (a18)) -> (~(c3_1 (a18))) -> (ndr1_0) -> (~(c1_1 (a19))) -> (~(c3_1 (a19))) -> (c2_1 (a19)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> False). % 1.22/1.46 do 0 intro. intros zenon_H1da zenon_H167 zenon_H149 zenon_H146 zenon_H120 zenon_H11f zenon_H121 zenon_H144 zenon_H14a zenon_H1c2 zenon_H2d9 zenon_H2d8 zenon_H2d7 zenon_H95 zenon_H104 zenon_H103 zenon_H102 zenon_H177 zenon_H1c6 zenon_Hc2 zenon_He0 zenon_Hc1 zenon_H1a zenon_Hae zenon_Haf zenon_Hb0 zenon_Hd3 zenon_H1c1. % 1.22/1.46 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.22/1.46 apply (zenon_L279_); trivial. % 1.22/1.46 apply (zenon_L1056_); trivial. % 1.22/1.46 (* end of lemma zenon_L1061_ *) % 1.22/1.46 assert (zenon_L1062_ : ((ndr1_0)/\((c0_1 (a15))/\((~(c1_1 (a15)))/\(~(c2_1 (a15)))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a18))/\((c2_1 (a18))/\(~(c3_1 (a18))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a19))/\((~(c1_1 (a19)))/\(~(c3_1 (a19))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c3_1 (a14)) -> (~(c2_1 (a14))) -> (c0_1 (a14)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp24))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(~(c3_1 (a25))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((hskp2)\/(hskp14))) -> (~(hskp2)) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(c0_1 (a2))) -> (~(c3_1 (a2))) -> (c2_1 (a2)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (~(hskp0)) -> ((hskp24)\/((hskp23)\/(hskp0))) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a24))/\((~(c0_1 (a24)))/\(~(c1_1 (a24))))))) -> False). % 1.22/1.46 do 0 intro. intros zenon_H20e zenon_H212 zenon_H213 zenon_H17b zenon_H93 zenon_H1c1 zenon_H1c6 zenon_H1c2 zenon_H14a zenon_H121 zenon_H11f zenon_H120 zenon_H149 zenon_H167 zenon_H1da zenon_H1f8 zenon_H1a2 zenon_H113 zenon_Hfe zenon_H48 zenon_H177 zenon_H43 zenon_H2d7 zenon_H2d8 zenon_H2d9 zenon_Hd3 zenon_H95 zenon_H15 zenon_H17 zenon_Hd zenon_H1a9 zenon_H9d zenon_H112. % 1.22/1.46 apply (zenon_and_s _ _ zenon_H20e). zenon_intro zenon_H1a. zenon_intro zenon_H20f. % 1.22/1.46 apply (zenon_and_s _ _ zenon_H20f). zenon_intro zenon_H117. zenon_intro zenon_H210. % 1.22/1.46 apply (zenon_and_s _ _ zenon_H210). zenon_intro zenon_H115. zenon_intro zenon_H116. % 1.22/1.46 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H2d | zenon_intro zenon_H217 ]. % 1.22/1.46 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_H100 | zenon_intro zenon_H10d ]. % 1.22/1.46 apply (zenon_L74_); trivial. % 1.22/1.46 apply (zenon_L1050_); trivial. % 1.22/1.46 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H1a. zenon_intro zenon_H218. % 1.22/1.46 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_He0. zenon_intro zenon_H219. % 1.22/1.46 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_Hc2. zenon_intro zenon_Hc1. % 1.22/1.46 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H91 | zenon_intro zenon_He5 ]. % 1.22/1.46 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_H100 | zenon_intro zenon_H10d ]. % 1.22/1.46 apply (zenon_L74_); trivial. % 1.22/1.46 apply (zenon_L1060_); trivial. % 1.22/1.46 apply (zenon_and_s _ _ zenon_He5). zenon_intro zenon_H1a. zenon_intro zenon_He6. % 1.22/1.46 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_Hb0. zenon_intro zenon_He7. % 1.22/1.46 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hae. zenon_intro zenon_Haf. % 1.22/1.46 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_H100 | zenon_intro zenon_H10d ]. % 1.22/1.46 apply (zenon_L74_); trivial. % 1.22/1.46 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_H1a. zenon_intro zenon_H10f. % 1.22/1.46 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H104. zenon_intro zenon_H110. % 1.22/1.46 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_H102. zenon_intro zenon_H103. % 1.22/1.46 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H146 | zenon_intro zenon_H19f ]. % 1.22/1.46 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.22/1.46 apply (zenon_L1061_); trivial. % 1.22/1.46 apply (zenon_L313_); trivial. % 1.22/1.46 apply (zenon_L1059_); trivial. % 1.22/1.46 (* end of lemma zenon_L1062_ *) % 1.22/1.46 assert (zenon_L1063_ : ((ndr1_0)/\((c0_1 (a14))/\((c3_1 (a14))/\(~(c2_1 (a14)))))) -> ((~(hskp8))\/((ndr1_0)/\((c0_1 (a15))/\((~(c1_1 (a15)))/\(~(c2_1 (a15))))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a18))/\((c2_1 (a18))/\(~(c3_1 (a18))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a19))/\((~(c1_1 (a19)))/\(~(c3_1 (a19))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp24))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(~(c3_1 (a25))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((hskp9)\/(hskp24))) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> ((hskp24)\/((hskp23)\/(hskp0))) -> (~(hskp0)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(c3_1 (a2))) -> (c2_1 (a2)) -> (~(c0_1 (a2))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp8)\/(hskp9))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(hskp2)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((hskp2)\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> (~(hskp3)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp2)\/(hskp3))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a24))/\((~(c0_1 (a24)))/\(~(c1_1 (a24))))))) -> ((~(hskp9))\/((ndr1_0)/\((c0_1 (a16))/\((~(c2_1 (a16)))/\(~(c3_1 (a16))))))) -> False). % 1.22/1.46 do 0 intro. intros zenon_H2a6 zenon_H211 zenon_H212 zenon_H213 zenon_H17b zenon_H93 zenon_H1c6 zenon_H14a zenon_H149 zenon_H1da zenon_H1f8 zenon_H1a2 zenon_H177 zenon_H43 zenon_H95 zenon_H9d zenon_H7b zenon_Hd zenon_H1a9 zenon_H17 zenon_H15 zenon_Hd3 zenon_H2d8 zenon_H2d9 zenon_H2d7 zenon_H1a3 zenon_H48 zenon_H167 zenon_H1f0 zenon_H1c2 zenon_Hfc zenon_Hfe zenon_H113 zenon_H1c1 zenon_H10b zenon_H10e zenon_H112 zenon_H215. % 1.22/1.46 apply (zenon_and_s _ _ zenon_H2a6). zenon_intro zenon_H1a. zenon_intro zenon_H2a7. % 1.22/1.46 apply (zenon_and_s _ _ zenon_H2a7). zenon_intro zenon_H120. zenon_intro zenon_H2a8. % 1.22/1.46 apply (zenon_and_s _ _ zenon_H2a8). zenon_intro zenon_H121. zenon_intro zenon_H11f. % 1.22/1.46 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_Hb | zenon_intro zenon_H20e ]. % 1.22/1.46 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H3 | zenon_intro zenon_H216 ]. % 1.22/1.46 apply (zenon_L1046_); trivial. % 1.22/1.46 apply (zenon_L1042_); trivial. % 1.22/1.46 apply (zenon_L1062_); trivial. % 1.22/1.46 (* end of lemma zenon_L1063_ *) % 1.22/1.46 assert (zenon_L1064_ : ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((hskp26)\/(hskp16))) -> (~(hskp24)) -> (~(hskp9)) -> (ndr1_0) -> (~(c2_1 (a8))) -> (c1_1 (a8)) -> (c0_1 (a8)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((hskp9)\/(hskp24))) -> (~(hskp26)) -> (~(hskp16)) -> False). % 1.22/1.46 do 0 intro. intros zenon_H1ff zenon_H11 zenon_H3 zenon_H1a zenon_H21f zenon_H220 zenon_H228 zenon_H7b zenon_H1b3 zenon_H1fd. % 1.22/1.46 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_He8 | zenon_intro zenon_H200 ]. % 1.22/1.46 apply (zenon_L765_); trivial. % 1.22/1.46 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H1b4 | zenon_intro zenon_H1fe ]. % 1.22/1.46 exact (zenon_H1b3 zenon_H1b4). % 1.22/1.46 exact (zenon_H1fd zenon_H1fe). % 1.22/1.46 (* end of lemma zenon_L1064_ *) % 1.22/1.46 assert (zenon_L1065_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((hskp26)\/(hskp16))) -> (~(hskp16)) -> (ndr1_0) -> (~(c2_1 (a8))) -> (c1_1 (a8)) -> (c0_1 (a8)) -> (~(hskp9)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((hskp9)\/(hskp24))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(c3_1 (a2))) -> (c2_1 (a2)) -> (~(c0_1 (a2))) -> (~(hskp8)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp8)\/(hskp9))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> False). % 1.22/1.46 do 0 intro. intros zenon_H48 zenon_H1ff zenon_H1fd zenon_H1a zenon_H21f zenon_H220 zenon_H228 zenon_H3 zenon_H7b zenon_Hd3 zenon_H2d8 zenon_H2d9 zenon_H2d7 zenon_Hb zenon_H1a3 zenon_H1c1. % 1.22/1.46 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H11 | zenon_intro zenon_H41 ]. % 1.22/1.46 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1be ]. % 1.22/1.46 apply (zenon_L1064_); trivial. % 1.22/1.46 apply (zenon_L1028_); trivial. % 1.22/1.46 apply (zenon_L1044_); trivial. % 1.22/1.46 (* end of lemma zenon_L1065_ *) % 1.22/1.46 assert (zenon_L1066_ : ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp5))) -> (c1_1 (a30)) -> (~(c2_1 (a30))) -> (~(c0_1 (a30))) -> (c2_1 (a2)) -> (~(c0_1 (a2))) -> (forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z))))) -> (~(c3_1 (a2))) -> (ndr1_0) -> (~(hskp5)) -> False). % 1.22/1.46 do 0 intro. intros zenon_Hdc zenon_H203 zenon_H202 zenon_H201 zenon_H2d9 zenon_H2d7 zenon_Hb8 zenon_H2d8 zenon_H1a zenon_Hd4. % 1.22/1.46 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hdd ]. % 1.22/1.46 apply (zenon_L198_); trivial. % 1.22/1.46 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hd5 ]. % 1.22/1.46 generalize (zenon_Hc0 (a2)). zenon_intro zenon_H2ec. % 1.22/1.46 apply (zenon_imply_s _ _ zenon_H2ec); [ zenon_intro zenon_H19 | zenon_intro zenon_H2ed ]. % 1.22/1.46 exact (zenon_H19 zenon_H1a). % 1.22/1.46 apply (zenon_or_s _ _ zenon_H2ed); [ zenon_intro zenon_H2df | zenon_intro zenon_H2e5 ]. % 1.22/1.46 exact (zenon_H2d8 zenon_H2df). % 1.22/1.46 apply (zenon_or_s _ _ zenon_H2e5); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H2de ]. % 1.22/1.46 generalize (zenon_Hb8 (a2)). zenon_intro zenon_H2ee. % 1.22/1.46 apply (zenon_imply_s _ _ zenon_H2ee); [ zenon_intro zenon_H19 | zenon_intro zenon_H2ef ]. % 1.22/1.46 exact (zenon_H19 zenon_H1a). % 1.22/1.46 apply (zenon_or_s _ _ zenon_H2ef); [ zenon_intro zenon_H2dd | zenon_intro zenon_H2f0 ]. % 1.22/1.46 exact (zenon_H2d7 zenon_H2dd). % 1.22/1.46 apply (zenon_or_s _ _ zenon_H2f0); [ zenon_intro zenon_H2e2 | zenon_intro zenon_H2df ]. % 1.22/1.46 exact (zenon_H2e6 zenon_H2e2). % 1.22/1.46 exact (zenon_H2d8 zenon_H2df). % 1.22/1.46 exact (zenon_H2de zenon_H2d9). % 1.22/1.46 exact (zenon_Hd4 zenon_Hd5). % 1.22/1.46 (* end of lemma zenon_L1066_ *) % 1.22/1.46 assert (zenon_L1067_ : ((ndr1_0)/\((c1_1 (a30))/\((~(c0_1 (a30)))/\(~(c2_1 (a30)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> (~(hskp7)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(hskp7)) -> (~(c3_1 (a2))) -> (~(c0_1 (a2))) -> (c2_1 (a2)) -> (~(hskp5)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp5))) -> False). % 1.22/1.46 do 0 intro. intros zenon_H20b zenon_H177 zenon_H1 zenon_Hb7 zenon_H2d8 zenon_H2d7 zenon_H2d9 zenon_Hd4 zenon_Hdc. % 1.22/1.46 apply (zenon_and_s _ _ zenon_H20b). zenon_intro zenon_H1a. zenon_intro zenon_H20c. % 1.22/1.46 apply (zenon_and_s _ _ zenon_H20c). zenon_intro zenon_H203. zenon_intro zenon_H20d. % 1.22/1.46 apply (zenon_and_s _ _ zenon_H20d). zenon_intro zenon_H201. zenon_intro zenon_H202. % 1.22/1.46 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hd6 ]. % 1.22/1.46 apply (zenon_L1066_); trivial. % 1.22/1.46 apply (zenon_L1030_); trivial. % 1.22/1.46 (* end of lemma zenon_L1067_ *) % 1.22/1.46 assert (zenon_L1068_ : ((~(hskp16))\/((ndr1_0)/\((c1_1 (a30))/\((~(c0_1 (a30)))/\(~(c2_1 (a30))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> (~(hskp7)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(hskp7)) -> (~(hskp5)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp5))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp8)\/(hskp9))) -> (~(hskp8)) -> (~(c0_1 (a2))) -> (c2_1 (a2)) -> (~(c3_1 (a2))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((hskp9)\/(hskp24))) -> (~(hskp9)) -> (c0_1 (a8)) -> (c1_1 (a8)) -> (~(c2_1 (a8))) -> (ndr1_0) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((hskp26)\/(hskp16))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> False). % 1.22/1.46 do 0 intro. intros zenon_H20a zenon_H177 zenon_H1 zenon_Hb7 zenon_Hd4 zenon_Hdc zenon_H1c1 zenon_H1a3 zenon_Hb zenon_H2d7 zenon_H2d9 zenon_H2d8 zenon_Hd3 zenon_H7b zenon_H3 zenon_H228 zenon_H220 zenon_H21f zenon_H1a zenon_H1ff zenon_H48. % 1.22/1.46 apply (zenon_or_s _ _ zenon_H20a); [ zenon_intro zenon_H1fd | zenon_intro zenon_H20b ]. % 1.22/1.46 apply (zenon_L1065_); trivial. % 1.22/1.46 apply (zenon_L1067_); trivial. % 1.22/1.46 (* end of lemma zenon_L1068_ *) % 1.22/1.46 assert (zenon_L1069_ : (forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44)))))) -> (ndr1_0) -> (forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22)))))) -> (~(c3_1 (a2))) -> (c2_1 (a2)) -> False). % 1.22/1.46 do 0 intro. intros zenon_Had zenon_H1a zenon_Hc0 zenon_H2d8 zenon_H2d9. % 1.22/1.46 generalize (zenon_Had (a2)). zenon_intro zenon_H2e0. % 1.22/1.46 apply (zenon_imply_s _ _ zenon_H2e0); [ zenon_intro zenon_H19 | zenon_intro zenon_H2e1 ]. % 1.22/1.46 exact (zenon_H19 zenon_H1a). % 1.22/1.46 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H2e2 | zenon_intro zenon_H2dc ]. % 1.22/1.46 generalize (zenon_Hc0 (a2)). zenon_intro zenon_H2ec. % 1.22/1.46 apply (zenon_imply_s _ _ zenon_H2ec); [ zenon_intro zenon_H19 | zenon_intro zenon_H2ed ]. % 1.22/1.46 exact (zenon_H19 zenon_H1a). % 1.22/1.46 apply (zenon_or_s _ _ zenon_H2ed); [ zenon_intro zenon_H2df | zenon_intro zenon_H2e5 ]. % 1.22/1.46 exact (zenon_H2d8 zenon_H2df). % 1.22/1.46 apply (zenon_or_s _ _ zenon_H2e5); [ zenon_intro zenon_H2e6 | zenon_intro zenon_H2de ]. % 1.22/1.46 exact (zenon_H2e6 zenon_H2e2). % 1.22/1.46 exact (zenon_H2de zenon_H2d9). % 1.22/1.46 apply (zenon_or_s _ _ zenon_H2dc); [ zenon_intro zenon_H2df | zenon_intro zenon_H2de ]. % 1.22/1.46 exact (zenon_H2d8 zenon_H2df). % 1.22/1.46 exact (zenon_H2de zenon_H2d9). % 1.22/1.46 (* end of lemma zenon_L1069_ *) % 1.22/1.46 assert (zenon_L1070_ : ((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp5))) -> (c1_1 (a30)) -> (~(c2_1 (a30))) -> (~(c0_1 (a30))) -> (~(c3_1 (a2))) -> (c2_1 (a2)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(hskp5)) -> False). % 1.22/1.46 do 0 intro. intros zenon_H1be zenon_Hdc zenon_H203 zenon_H202 zenon_H201 zenon_H2d8 zenon_H2d9 zenon_Hd3 zenon_Hd4. % 1.22/1.46 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H1a. zenon_intro zenon_H1bf. % 1.22/1.46 apply (zenon_and_s _ _ zenon_H1bf). zenon_intro zenon_H1b5. zenon_intro zenon_H1c0. % 1.22/1.46 apply (zenon_and_s _ _ zenon_H1c0). zenon_intro zenon_H1b6. zenon_intro zenon_H1b7. % 1.22/1.46 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hdd ]. % 1.22/1.46 apply (zenon_L198_); trivial. % 1.22/1.46 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hd5 ]. % 1.22/1.46 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_Had | zenon_intro zenon_Hcd ]. % 1.22/1.46 apply (zenon_L1069_); trivial. % 1.22/1.46 apply (zenon_L133_); trivial. % 1.22/1.46 exact (zenon_Hd4 zenon_Hd5). % 1.22/1.46 (* end of lemma zenon_L1070_ *) % 1.22/1.46 assert (zenon_L1071_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (c1_1 (a30)) -> (~(c2_1 (a30))) -> (~(c0_1 (a30))) -> (ndr1_0) -> (~(c0_1 (a2))) -> (~(c3_1 (a2))) -> (c2_1 (a2)) -> (~(hskp25)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> False). % 1.22/1.46 do 0 intro. intros zenon_H1c1 zenon_Hdc zenon_Hd4 zenon_Hd3 zenon_H203 zenon_H202 zenon_H201 zenon_H1a zenon_H2d7 zenon_H2d8 zenon_H2d9 zenon_H12c zenon_H1c2. % 1.22/1.46 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1be ]. % 1.22/1.46 apply (zenon_L1025_); trivial. % 1.22/1.46 apply (zenon_L1070_); trivial. % 1.22/1.46 (* end of lemma zenon_L1071_ *) % 1.22/1.46 assert (zenon_L1072_ : ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (~(hskp15)) -> (c0_1 (a14)) -> (~(c2_1 (a14))) -> (c3_1 (a14)) -> (~(hskp19)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> (c2_1 (a2)) -> (~(c3_1 (a2))) -> (~(c0_1 (a2))) -> (ndr1_0) -> (~(c0_1 (a30))) -> (~(c2_1 (a30))) -> (c1_1 (a30)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(hskp5)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp5))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> False). % 1.22/1.46 do 0 intro. intros zenon_H167 zenon_H149 zenon_H146 zenon_H120 zenon_H11f zenon_H121 zenon_H144 zenon_H14a zenon_H1c2 zenon_H2d9 zenon_H2d8 zenon_H2d7 zenon_H1a zenon_H201 zenon_H202 zenon_H203 zenon_Hd3 zenon_Hd4 zenon_Hdc zenon_H1c1. % 1.22/1.46 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H12c | zenon_intro zenon_H148 ]. % 1.22/1.46 apply (zenon_L1071_); trivial. % 1.22/1.46 apply (zenon_L86_); trivial. % 1.22/1.46 (* end of lemma zenon_L1072_ *) % 1.22/1.46 assert (zenon_L1073_ : ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> (c2_1 (a9)) -> (c0_1 (a9)) -> (forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))) -> (ndr1_0) -> (~(hskp26)) -> (~(hskp20)) -> False). % 1.22/1.46 do 0 intro. intros zenon_H1c6 zenon_H13d zenon_H13b zenon_Hcd zenon_H1a zenon_H1b3 zenon_H1c4. % 1.22/1.46 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H8e | zenon_intro zenon_H1c7 ]. % 1.22/1.46 apply (zenon_L605_); trivial. % 1.22/1.46 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H1b4 | zenon_intro zenon_H1c5 ]. % 1.22/1.46 exact (zenon_H1b3 zenon_H1b4). % 1.22/1.46 exact (zenon_H1c4 zenon_H1c5). % 1.22/1.46 (* end of lemma zenon_L1073_ *) % 1.22/1.46 assert (zenon_L1074_ : ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp5))) -> (c1_1 (a30)) -> (~(c2_1 (a30))) -> (~(c0_1 (a30))) -> (ndr1_0) -> (~(c3_1 (a2))) -> (c2_1 (a2)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> (~(hskp20)) -> (~(hskp26)) -> (c2_1 (a9)) -> (c0_1 (a9)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(hskp5)) -> False). % 1.22/1.46 do 0 intro. intros zenon_Hdc zenon_H203 zenon_H202 zenon_H201 zenon_H1a zenon_H2d8 zenon_H2d9 zenon_H1c6 zenon_H1c4 zenon_H1b3 zenon_H13d zenon_H13b zenon_Hd3 zenon_Hd4. % 1.22/1.46 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hdd ]. % 1.22/1.46 apply (zenon_L198_); trivial. % 1.22/1.46 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hd5 ]. % 1.22/1.46 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_Had | zenon_intro zenon_Hcd ]. % 1.22/1.46 apply (zenon_L1069_); trivial. % 1.22/1.46 apply (zenon_L1073_); trivial. % 1.22/1.46 exact (zenon_Hd4 zenon_Hd5). % 1.22/1.46 (* end of lemma zenon_L1074_ *) % 1.22/1.46 assert (zenon_L1075_ : ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp24))) -> (~(hskp5)) -> (~(c3_1 (a2))) -> (~(c0_1 (a2))) -> (c2_1 (a2)) -> (~(c0_1 (a30))) -> (~(c2_1 (a30))) -> (c1_1 (a30)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp5))) -> (c1_1 (a25)) -> (c0_1 (a25)) -> (~(c3_1 (a25))) -> (ndr1_0) -> (~(hskp24)) -> False). % 1.22/1.46 do 0 intro. intros zenon_H1f8 zenon_Hd4 zenon_H2d8 zenon_H2d7 zenon_H2d9 zenon_H201 zenon_H202 zenon_H203 zenon_Hdc zenon_H19a zenon_H18f zenon_H18e zenon_H1a zenon_H11. % 1.22/1.46 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H1f9 ]. % 1.22/1.46 apply (zenon_L1066_); trivial. % 1.22/1.46 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H12 ]. % 1.22/1.46 apply (zenon_L187_); trivial. % 1.22/1.46 exact (zenon_H11 zenon_H12). % 1.22/1.46 (* end of lemma zenon_L1075_ *) % 1.22/1.46 assert (zenon_L1076_ : ((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(c0_1 (a30))) -> (~(c2_1 (a30))) -> (c1_1 (a30)) -> (~(c3_1 (a2))) -> (~(c0_1 (a2))) -> (c2_1 (a2)) -> (~(hskp5)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp5))) -> False). % 1.22/1.46 do 0 intro. intros zenon_H41 zenon_H177 zenon_Hd3 zenon_H201 zenon_H202 zenon_H203 zenon_H2d8 zenon_H2d7 zenon_H2d9 zenon_Hd4 zenon_Hdc. % 1.22/1.46 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H1a. zenon_intro zenon_H44. % 1.22/1.46 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H1d. zenon_intro zenon_H45. % 1.22/1.46 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H1e. zenon_intro zenon_H1f. % 1.22/1.46 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hd6 ]. % 1.22/1.46 apply (zenon_L1066_); trivial. % 1.22/1.46 apply (zenon_L1043_); trivial. % 1.22/1.46 (* end of lemma zenon_L1076_ *) % 1.22/1.46 assert (zenon_L1077_ : ((ndr1_0)/\((c1_1 (a30))/\((~(c0_1 (a30)))/\(~(c2_1 (a30)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a2)) -> (~(c0_1 (a2))) -> (~(c3_1 (a2))) -> (~(c3_1 (a25))) -> (c0_1 (a25)) -> (c1_1 (a25)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp24))) -> False). % 1.22/1.46 do 0 intro. intros zenon_H20b zenon_H48 zenon_H177 zenon_Hd3 zenon_Hdc zenon_Hd4 zenon_H2d9 zenon_H2d7 zenon_H2d8 zenon_H18e zenon_H18f zenon_H19a zenon_H1f8. % 1.22/1.46 apply (zenon_and_s _ _ zenon_H20b). zenon_intro zenon_H1a. zenon_intro zenon_H20c. % 1.22/1.46 apply (zenon_and_s _ _ zenon_H20c). zenon_intro zenon_H203. zenon_intro zenon_H20d. % 1.22/1.46 apply (zenon_and_s _ _ zenon_H20d). zenon_intro zenon_H201. zenon_intro zenon_H202. % 1.22/1.46 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H11 | zenon_intro zenon_H41 ]. % 1.22/1.46 apply (zenon_L1075_); trivial. % 1.22/1.46 apply (zenon_L1076_); trivial. % 1.22/1.46 (* end of lemma zenon_L1077_ *) % 1.22/1.46 assert (zenon_L1078_ : ((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(~(c3_1 (a25)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a30))/\((~(c0_1 (a30)))/\(~(c2_1 (a30))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp5))) -> (~(hskp5)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp24))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp8)\/(hskp9))) -> (~(hskp8)) -> (~(c0_1 (a2))) -> (c2_1 (a2)) -> (~(c3_1 (a2))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((hskp9)\/(hskp24))) -> (~(hskp9)) -> (c0_1 (a8)) -> (c1_1 (a8)) -> (~(c2_1 (a8))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((hskp26)\/(hskp16))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> False). % 1.22/1.46 do 0 intro. intros zenon_H19f zenon_H20a zenon_H177 zenon_Hdc zenon_Hd4 zenon_H1f8 zenon_H1c1 zenon_H1a3 zenon_Hb zenon_H2d7 zenon_H2d9 zenon_H2d8 zenon_Hd3 zenon_H7b zenon_H3 zenon_H228 zenon_H220 zenon_H21f zenon_H1ff zenon_H48. % 1.22/1.46 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H1a. zenon_intro zenon_H1a0. % 1.22/1.46 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H18f. zenon_intro zenon_H1a1. % 1.22/1.46 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H19a. zenon_intro zenon_H18e. % 1.22/1.46 apply (zenon_or_s _ _ zenon_H20a); [ zenon_intro zenon_H1fd | zenon_intro zenon_H20b ]. % 1.22/1.46 apply (zenon_L1065_); trivial. % 1.22/1.46 apply (zenon_L1077_); trivial. % 1.22/1.46 (* end of lemma zenon_L1078_ *) % 1.22/1.46 assert (zenon_L1079_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(~(c3_1 (a25))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp24))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((hskp26)\/(hskp16))) -> (ndr1_0) -> (~(c2_1 (a8))) -> (c1_1 (a8)) -> (c0_1 (a8)) -> (~(hskp9)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((hskp9)\/(hskp24))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(c3_1 (a2))) -> (c2_1 (a2)) -> (~(c0_1 (a2))) -> (~(hskp8)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp8)\/(hskp9))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (c0_1 (a14)) -> (~(c2_1 (a14))) -> (c3_1 (a14)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> (~(hskp5)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp5))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a30))/\((~(c0_1 (a30)))/\(~(c2_1 (a30))))))) -> False). % 1.22/1.46 do 0 intro. intros zenon_H1a2 zenon_H177 zenon_H1f8 zenon_H48 zenon_H1ff zenon_H1a zenon_H21f zenon_H220 zenon_H228 zenon_H3 zenon_H7b zenon_Hd3 zenon_H2d8 zenon_H2d9 zenon_H2d7 zenon_Hb zenon_H1a3 zenon_H1c1 zenon_H167 zenon_H149 zenon_H120 zenon_H11f zenon_H121 zenon_H14a zenon_H1c2 zenon_Hd4 zenon_Hdc zenon_H1c6 zenon_H95 zenon_H1da zenon_H17b zenon_H20a. % 1.22/1.46 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H146 | zenon_intro zenon_H19f ]. % 1.22/1.46 apply (zenon_or_s _ _ zenon_H20a); [ zenon_intro zenon_H1fd | zenon_intro zenon_H20b ]. % 1.22/1.46 apply (zenon_L1065_); trivial. % 1.22/1.46 apply (zenon_and_s _ _ zenon_H20b). zenon_intro zenon_H1a. zenon_intro zenon_H20c. % 1.22/1.46 apply (zenon_and_s _ _ zenon_H20c). zenon_intro zenon_H203. zenon_intro zenon_H20d. % 1.22/1.46 apply (zenon_and_s _ _ zenon_H20d). zenon_intro zenon_H201. zenon_intro zenon_H202. % 1.22/1.46 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.22/1.46 apply (zenon_L1072_); trivial. % 1.22/1.46 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1a. zenon_intro zenon_H178. % 1.22/1.46 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H16a. zenon_intro zenon_H179. % 1.22/1.46 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H171. zenon_intro zenon_H168. % 1.22/1.46 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.22/1.46 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H12c | zenon_intro zenon_H148 ]. % 1.22/1.46 apply (zenon_L1071_); trivial. % 1.22/1.46 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H1a. zenon_intro zenon_H14b. % 1.22/1.46 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H13b. zenon_intro zenon_H14c. % 1.22/1.46 apply (zenon_and_s _ _ zenon_H14c). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 1.22/1.46 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1be ]. % 1.22/1.46 apply (zenon_L1074_); trivial. % 1.22/1.46 apply (zenon_L1070_); trivial. % 1.22/1.46 apply (zenon_L146_); trivial. % 1.22/1.46 apply (zenon_L1078_); trivial. % 1.22/1.46 (* end of lemma zenon_L1079_ *) % 1.22/1.46 assert (zenon_L1080_ : ((ndr1_0)/\((c0_1 (a8))/\((c1_1 (a8))/\(~(c2_1 (a8)))))) -> ((~(hskp7))\/((ndr1_0)/\((c0_1 (a14))/\((c3_1 (a14))/\(~(c2_1 (a14))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(~(c3_1 (a25))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp24))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((~(hskp9))\/((ndr1_0)/\((c0_1 (a16))/\((~(c2_1 (a16)))/\(~(c3_1 (a16))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a24))/\((~(c0_1 (a24)))/\(~(c1_1 (a24))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp2)\/(hskp3))) -> (~(hskp3)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((hskp2)\/(hskp14))) -> (~(hskp2)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((hskp26)\/(hskp16))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((hskp9)\/(hskp24))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(c3_1 (a2))) -> (c2_1 (a2)) -> (~(c0_1 (a2))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp8)\/(hskp9))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(hskp7)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a30))/\((~(c0_1 (a30)))/\(~(c2_1 (a30))))))) -> ((~(hskp8))\/((ndr1_0)/\((c0_1 (a15))/\((~(c1_1 (a15)))/\(~(c2_1 (a15))))))) -> False). % 1.22/1.46 do 0 intro. intros zenon_H2f1 zenon_H2f2 zenon_H1a2 zenon_H1f8 zenon_H149 zenon_H14a zenon_H1c6 zenon_H95 zenon_H1da zenon_H17b zenon_H215 zenon_H112 zenon_H10e zenon_H10b zenon_H113 zenon_Hfe zenon_Hfc zenon_H1c2 zenon_H1f0 zenon_H167 zenon_H48 zenon_H1ff zenon_H7b zenon_Hd3 zenon_H2d8 zenon_H2d9 zenon_H2d7 zenon_H1a3 zenon_H1c1 zenon_Hdc zenon_Hd4 zenon_Hb7 zenon_H177 zenon_H20a zenon_H211. % 1.33/1.46 apply (zenon_and_s _ _ zenon_H2f1). zenon_intro zenon_H1a. zenon_intro zenon_H2f3. % 1.33/1.46 apply (zenon_and_s _ _ zenon_H2f3). zenon_intro zenon_H228. zenon_intro zenon_H2f4. % 1.33/1.46 apply (zenon_and_s _ _ zenon_H2f4). zenon_intro zenon_H220. zenon_intro zenon_H21f. % 1.33/1.46 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H1 | zenon_intro zenon_H2a6 ]. % 1.33/1.46 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_Hb | zenon_intro zenon_H20e ]. % 1.33/1.46 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H3 | zenon_intro zenon_H216 ]. % 1.33/1.46 apply (zenon_L1068_); trivial. % 1.33/1.46 apply (zenon_L1042_); trivial. % 1.33/1.46 apply (zenon_L219_); trivial. % 1.33/1.46 apply (zenon_and_s _ _ zenon_H2a6). zenon_intro zenon_H1a. zenon_intro zenon_H2a7. % 1.33/1.46 apply (zenon_and_s _ _ zenon_H2a7). zenon_intro zenon_H120. zenon_intro zenon_H2a8. % 1.33/1.46 apply (zenon_and_s _ _ zenon_H2a8). zenon_intro zenon_H121. zenon_intro zenon_H11f. % 1.33/1.46 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_Hb | zenon_intro zenon_H20e ]. % 1.33/1.46 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H3 | zenon_intro zenon_H216 ]. % 1.33/1.46 apply (zenon_L1079_); trivial. % 1.33/1.46 apply (zenon_L1042_); trivial. % 1.33/1.46 apply (zenon_L219_); trivial. % 1.33/1.46 (* end of lemma zenon_L1080_ *) % 1.33/1.46 assert (zenon_L1081_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (c2_1 (a19)) -> (~(c3_1 (a19))) -> (~(c1_1 (a19))) -> (ndr1_0) -> (~(c0_1 (a2))) -> (~(c3_1 (a2))) -> (c2_1 (a2)) -> (~(hskp25)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> False). % 1.33/1.46 do 0 intro. intros zenon_H1c1 zenon_Hd3 zenon_Hb0 zenon_Haf zenon_Hae zenon_H1a zenon_H2d7 zenon_H2d8 zenon_H2d9 zenon_H12c zenon_H1c2. % 1.33/1.46 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1be ]. % 1.33/1.46 apply (zenon_L1025_); trivial. % 1.33/1.46 apply (zenon_L134_); trivial. % 1.33/1.46 (* end of lemma zenon_L1081_ *) % 1.33/1.46 assert (zenon_L1082_ : ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp27)\/(hskp26))) -> (~(hskp7)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(hskp7)) -> (~(hskp19)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp8)) -> (~(hskp9)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp8)\/(hskp9))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a11))/\((c1_1 (a11))/\(c3_1 (a11)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> (c2_1 (a2)) -> (~(c3_1 (a2))) -> (~(c0_1 (a2))) -> (ndr1_0) -> (~(c1_1 (a19))) -> (~(c3_1 (a19))) -> (c2_1 (a19)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> False). % 1.33/1.46 do 0 intro. intros zenon_H167 zenon_H1f2 zenon_H1 zenon_Hb7 zenon_H144 zenon_H14a zenon_Hb zenon_H3 zenon_H1a3 zenon_H97 zenon_H1c2 zenon_H2d9 zenon_H2d8 zenon_H2d7 zenon_H1a zenon_Hae zenon_Haf zenon_Hb0 zenon_Hd3 zenon_H1c1. % 1.33/1.46 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H12c | zenon_intro zenon_H148 ]. % 1.33/1.46 apply (zenon_L1081_); trivial. % 1.33/1.46 apply (zenon_L1033_); trivial. % 1.33/1.46 (* end of lemma zenon_L1082_ *) % 1.33/1.46 assert (zenon_L1083_ : ((ndr1_0)/\((c0_1 (a18))/\((c2_1 (a18))/\(~(c3_1 (a18)))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a19))/\((~(c1_1 (a19)))/\(~(c3_1 (a19))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp27)\/(hskp26))) -> (~(hskp7)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(hskp7)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a11))/\((c1_1 (a11))/\(c3_1 (a11)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> (c2_1 (a2)) -> (~(c3_1 (a2))) -> (~(c0_1 (a2))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(hskp8)) -> (~(hskp9)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp8)\/(hskp9))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> False). % 1.33/1.46 do 0 intro. intros zenon_H217 zenon_H213 zenon_H1da zenon_H95 zenon_H1c6 zenon_H167 zenon_H1f2 zenon_H1 zenon_Hb7 zenon_H14a zenon_H97 zenon_H1c2 zenon_H2d9 zenon_H2d8 zenon_H2d7 zenon_Hd3 zenon_Hb zenon_H3 zenon_H1a3 zenon_H1c1 zenon_H93 zenon_H17b. % 1.33/1.46 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H1a. zenon_intro zenon_H218. % 1.33/1.46 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_He0. zenon_intro zenon_H219. % 1.33/1.46 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_Hc2. zenon_intro zenon_Hc1. % 1.33/1.46 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H91 | zenon_intro zenon_He5 ]. % 1.33/1.46 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.33/1.46 apply (zenon_L1034_); trivial. % 1.33/1.46 apply (zenon_L153_); trivial. % 1.33/1.46 apply (zenon_and_s _ _ zenon_He5). zenon_intro zenon_H1a. zenon_intro zenon_He6. % 1.33/1.46 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_Hb0. zenon_intro zenon_He7. % 1.33/1.46 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hae. zenon_intro zenon_Haf. % 1.33/1.46 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.33/1.46 apply (zenon_L1082_); trivial. % 1.33/1.46 apply (zenon_L280_); trivial. % 1.33/1.46 (* end of lemma zenon_L1083_ *) % 1.33/1.46 assert (zenon_L1084_ : ((~(hskp10))\/((ndr1_0)/\((c0_1 (a18))/\((c2_1 (a18))/\(~(c3_1 (a18))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a19))/\((~(c1_1 (a19)))/\(~(c3_1 (a19))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp27)\/(hskp26))) -> (~(hskp7)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(hskp7)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a11))/\((c1_1 (a11))/\(c3_1 (a11)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> (c2_1 (a2)) -> (~(c3_1 (a2))) -> (~(c0_1 (a2))) -> (ndr1_0) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(hskp8)) -> (~(hskp9)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp8)\/(hskp9))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> False). % 1.33/1.46 do 0 intro. intros zenon_H212 zenon_H213 zenon_H1da zenon_H95 zenon_H1c6 zenon_H93 zenon_H167 zenon_H1f2 zenon_H1 zenon_Hb7 zenon_H14a zenon_H97 zenon_H1c2 zenon_H2d9 zenon_H2d8 zenon_H2d7 zenon_H1a zenon_Hd3 zenon_Hb zenon_H3 zenon_H1a3 zenon_H1c1 zenon_H43 zenon_H235 zenon_H234 zenon_H233 zenon_H17b. % 1.33/1.46 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H2d | zenon_intro zenon_H217 ]. % 1.33/1.46 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.33/1.46 apply (zenon_L1034_); trivial. % 1.33/1.46 apply (zenon_L441_); trivial. % 1.33/1.46 apply (zenon_L1083_); trivial. % 1.33/1.46 (* end of lemma zenon_L1084_ *) % 1.33/1.46 assert (zenon_L1085_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp8)\/(hskp9))) -> (~(hskp8)) -> (~(c0_1 (a2))) -> (c2_1 (a2)) -> (~(c3_1 (a2))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (ndr1_0) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> (~(hskp9)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((hskp9)\/(hskp24))) -> False). % 1.33/1.46 do 0 intro. intros zenon_H48 zenon_H1a3 zenon_Hb zenon_H2d7 zenon_H2d9 zenon_H2d8 zenon_Hd3 zenon_H1a zenon_H254 zenon_H255 zenon_H256 zenon_H3 zenon_H7b. % 1.33/1.46 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H11 | zenon_intro zenon_H41 ]. % 1.33/1.46 apply (zenon_L329_); trivial. % 1.33/1.46 apply (zenon_L1044_); trivial. % 1.33/1.46 (* end of lemma zenon_L1085_ *) % 1.33/1.46 assert (zenon_L1086_ : ((ndr1_0)/\((~(c0_1 (a22)))/\((~(c2_1 (a22)))/\(~(c3_1 (a22)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(c3_1 X17))))))) -> (c2_1 (a2)) -> (~(c3_1 (a2))) -> (~(c0_1 (a2))) -> (~(c1_1 (a5))) -> (~(c2_1 (a5))) -> (~(c3_1 (a5))) -> False). % 1.33/1.46 do 0 intro. intros zenon_H284 zenon_H2a1 zenon_H2d9 zenon_H2d8 zenon_H2d7 zenon_H288 zenon_H289 zenon_H29c. % 1.33/1.46 apply (zenon_and_s _ _ zenon_H284). zenon_intro zenon_H1a. zenon_intro zenon_H285. % 1.33/1.46 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_H80. zenon_intro zenon_H286. % 1.33/1.46 apply (zenon_and_s _ _ zenon_H286). zenon_intro zenon_H89. zenon_intro zenon_H81. % 1.33/1.46 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H1e7 | zenon_intro zenon_H2a2 ]. % 1.33/1.46 apply (zenon_L221_); trivial. % 1.33/1.46 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H1ab | zenon_intro zenon_H29b ]. % 1.33/1.46 apply (zenon_L1024_); trivial. % 1.33/1.46 apply (zenon_L532_); trivial. % 1.33/1.46 (* end of lemma zenon_L1086_ *) % 1.33/1.46 assert (zenon_L1087_ : ((~(hskp13))\/((ndr1_0)/\((~(c0_1 (a22)))/\((~(c2_1 (a22)))/\(~(c3_1 (a22))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(c3_1 X17))))))) -> (~(c3_1 (a5))) -> (~(c2_1 (a5))) -> (~(c1_1 (a5))) -> (c2_1 (a2)) -> (~(c3_1 (a2))) -> (~(c0_1 (a2))) -> (~(hskp7)) -> (~(hskp9)) -> ((hskp7)\/((hskp9)\/(hskp13))) -> False). % 1.33/1.46 do 0 intro. intros zenon_H287 zenon_H2a1 zenon_H29c zenon_H289 zenon_H288 zenon_H2d9 zenon_H2d8 zenon_H2d7 zenon_H1 zenon_H3 zenon_H7. % 1.33/1.46 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H5 | zenon_intro zenon_H284 ]. % 1.33/1.46 apply (zenon_L4_); trivial. % 1.33/1.46 apply (zenon_L1086_); trivial. % 1.33/1.46 (* end of lemma zenon_L1087_ *) % 1.33/1.46 assert (zenon_L1088_ : ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/(hskp13))) -> (~(c2_1 (a16))) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c3_1 (a10)) -> (c2_1 (a10)) -> (c0_1 (a10)) -> (forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))) -> (ndr1_0) -> (~(hskp13)) -> False). % 1.33/1.46 do 0 intro. intros zenon_H247 zenon_He9 zenon_Hea zenon_Heb zenon_Hfc zenon_H1b7 zenon_H1b6 zenon_H1b5 zenon_H1c zenon_H1a zenon_H5. % 1.33/1.46 apply (zenon_or_s _ _ zenon_H247); [ zenon_intro zenon_Hf2 | zenon_intro zenon_H248 ]. % 1.33/1.46 apply (zenon_L173_); trivial. % 1.33/1.46 apply (zenon_or_s _ _ zenon_H248); [ zenon_intro zenon_H243 | zenon_intro zenon_H6 ]. % 1.33/1.46 apply (zenon_L364_); trivial. % 1.33/1.46 exact (zenon_H5 zenon_H6). % 1.33/1.46 (* end of lemma zenon_L1088_ *) % 1.33/1.46 assert (zenon_L1089_ : ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> (c2_1 (a2)) -> (~(c3_1 (a2))) -> (~(c0_1 (a2))) -> (ndr1_0) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((hskp2)\/(hskp14))) -> (~(hskp14)) -> (~(hskp2)) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (~(c2_1 (a16))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/(hskp13))) -> (~(hskp13)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> False). % 1.33/1.46 do 0 intro. intros zenon_H167 zenon_H1c2 zenon_H2d9 zenon_H2d8 zenon_H2d7 zenon_H1a zenon_H113 zenon_H100 zenon_Hfe zenon_Heb zenon_Hea zenon_He9 zenon_H247 zenon_H5 zenon_Hfc zenon_H1f0 zenon_H1c1. % 1.33/1.46 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H12c | zenon_intro zenon_H148 ]. % 1.33/1.46 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1be ]. % 1.33/1.46 apply (zenon_L1025_); trivial. % 1.33/1.46 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H1a. zenon_intro zenon_H1bf. % 1.33/1.46 apply (zenon_and_s _ _ zenon_H1bf). zenon_intro zenon_H1b5. zenon_intro zenon_H1c0. % 1.33/1.46 apply (zenon_and_s _ _ zenon_H1c0). zenon_intro zenon_H1b6. zenon_intro zenon_H1b7. % 1.33/1.46 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H1ab | zenon_intro zenon_H1f1 ]. % 1.33/1.46 apply (zenon_L1024_); trivial. % 1.33/1.46 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H1c ]. % 1.33/1.46 apply (zenon_L163_); trivial. % 1.33/1.46 apply (zenon_L1088_); trivial. % 1.33/1.46 apply (zenon_L1040_); trivial. % 1.33/1.46 (* end of lemma zenon_L1089_ *) % 1.33/1.46 assert (zenon_L1090_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> (~(c0_1 (a24))) -> (~(c1_1 (a24))) -> (c2_1 (a24)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (c2_1 (a2)) -> (~(c3_1 (a2))) -> (~(c0_1 (a2))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (ndr1_0) -> (~(c2_1 (a16))) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> (~(hskp16)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((hskp26)\/(hskp16))) -> False). % 1.33/1.46 do 0 intro. intros zenon_H1c1 zenon_H177 zenon_H102 zenon_H103 zenon_H104 zenon_Hd3 zenon_H2d9 zenon_H2d8 zenon_H2d7 zenon_H95 zenon_H1a zenon_He9 zenon_Hea zenon_Heb zenon_H1fd zenon_H1ff. % 1.33/1.46 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1be ]. % 1.33/1.46 apply (zenon_L195_); trivial. % 1.33/1.46 apply (zenon_L1052_); trivial. % 1.33/1.46 (* end of lemma zenon_L1090_ *) % 1.33/1.46 assert (zenon_L1091_ : ((ndr1_0)/\((c0_1 (a16))/\((~(c2_1 (a16)))/\(~(c3_1 (a16)))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c0_1 (a22)))/\((~(c2_1 (a22)))/\(~(c3_1 (a22))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(c3_1 X17))))))) -> (~(c3_1 (a5))) -> (~(c2_1 (a5))) -> (~(c1_1 (a5))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> (c2_1 (a2)) -> (~(c3_1 (a2))) -> (~(c0_1 (a2))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((hskp2)\/(hskp14))) -> (~(hskp2)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/(hskp13))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((hskp26)\/(hskp16))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(hskp7)) -> (~(hskp7)) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a30))/\((~(c0_1 (a30)))/\(~(c2_1 (a30))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a24))/\((~(c0_1 (a24)))/\(~(c1_1 (a24))))))) -> False). % 1.33/1.46 do 0 intro. intros zenon_H216 zenon_H287 zenon_H2a1 zenon_H29c zenon_H289 zenon_H288 zenon_H167 zenon_H1c2 zenon_H2d9 zenon_H2d8 zenon_H2d7 zenon_H113 zenon_Hfe zenon_H247 zenon_Hfc zenon_H1f0 zenon_H1c1 zenon_H177 zenon_Hd3 zenon_H95 zenon_H1ff zenon_Hdc zenon_Hd4 zenon_Hb7 zenon_H1 zenon_H20a zenon_H112. % 1.33/1.46 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_H1a. zenon_intro zenon_H21a. % 1.33/1.46 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_Heb. zenon_intro zenon_H21b. % 1.33/1.46 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_He9. zenon_intro zenon_Hea. % 1.33/1.46 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H5 | zenon_intro zenon_H284 ]. % 1.33/1.46 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_H100 | zenon_intro zenon_H10d ]. % 1.33/1.46 apply (zenon_L1089_); trivial. % 1.33/1.46 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_H1a. zenon_intro zenon_H10f. % 1.33/1.46 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H104. zenon_intro zenon_H110. % 1.33/1.46 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_H102. zenon_intro zenon_H103. % 1.33/1.46 apply (zenon_or_s _ _ zenon_H20a); [ zenon_intro zenon_H1fd | zenon_intro zenon_H20b ]. % 1.33/1.46 apply (zenon_L1090_); trivial. % 1.33/1.46 apply (zenon_L1067_); trivial. % 1.33/1.46 apply (zenon_L1086_); trivial. % 1.33/1.46 (* end of lemma zenon_L1091_ *) % 1.33/1.46 assert (zenon_L1092_ : ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> (c2_1 (a2)) -> (~(c3_1 (a2))) -> (~(c0_1 (a2))) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (~(c2_1 (a16))) -> (forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14)))))) -> (ndr1_0) -> (c0_1 (a9)) -> (c1_1 (a9)) -> (c2_1 (a9)) -> False). % 1.33/1.46 do 0 intro. intros zenon_H1f0 zenon_H2d9 zenon_H2d8 zenon_H2d7 zenon_Heb zenon_Hea zenon_He9 zenon_Hf2 zenon_H1a zenon_H13b zenon_H13c zenon_H13d. % 1.33/1.46 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H1ab | zenon_intro zenon_H1f1 ]. % 1.33/1.46 apply (zenon_L1024_); trivial. % 1.33/1.46 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H1c ]. % 1.33/1.46 apply (zenon_L64_); trivial. % 1.33/1.46 apply (zenon_L83_); trivial. % 1.33/1.46 (* end of lemma zenon_L1092_ *) % 1.33/1.46 assert (zenon_L1093_ : ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> (~(hskp10)) -> (forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1)))))) -> (~(c0_1 (a33))) -> (c2_1 (a33)) -> (c3_1 (a33)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (c2_1 (a9)) -> (c1_1 (a9)) -> (c0_1 (a9)) -> (ndr1_0) -> (~(c2_1 (a16))) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> (~(c0_1 (a2))) -> (~(c3_1 (a2))) -> (c2_1 (a2)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> (~(hskp4)) -> False). % 1.33/1.46 do 0 intro. intros zenon_H1a9 zenon_H2d zenon_Hd6 zenon_H168 zenon_H16a zenon_H171 zenon_H43 zenon_H13d zenon_H13c zenon_H13b zenon_H1a zenon_He9 zenon_Hea zenon_Heb zenon_H2d7 zenon_H2d8 zenon_H2d9 zenon_H1f0 zenon_Hd. % 1.33/1.46 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H1aa ]. % 1.33/1.46 apply (zenon_L565_); trivial. % 1.33/1.46 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_Hf2 | zenon_intro zenon_He ]. % 1.33/1.46 apply (zenon_L1092_); trivial. % 1.33/1.46 exact (zenon_Hd zenon_He). % 1.33/1.46 (* end of lemma zenon_L1093_ *) % 1.33/1.46 assert (zenon_L1094_ : ((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (~(c2_1 (a16))) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> (c2_1 (a2)) -> (~(c3_1 (a2))) -> (~(c0_1 (a2))) -> (~(c0_1 (a30))) -> (~(c2_1 (a30))) -> (c1_1 (a30)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(hskp5)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp5))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> False). % 1.33/1.46 do 0 intro. intros zenon_H176 zenon_H167 zenon_H177 zenon_H43 zenon_H2d zenon_H1f0 zenon_Heb zenon_Hea zenon_He9 zenon_Hd zenon_H1a9 zenon_H1c2 zenon_H2d9 zenon_H2d8 zenon_H2d7 zenon_H201 zenon_H202 zenon_H203 zenon_Hd3 zenon_Hd4 zenon_Hdc zenon_H1c1. % 1.33/1.46 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1a. zenon_intro zenon_H178. % 1.33/1.46 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H16a. zenon_intro zenon_H179. % 1.33/1.46 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H171. zenon_intro zenon_H168. % 1.33/1.46 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H12c | zenon_intro zenon_H148 ]. % 1.33/1.46 apply (zenon_L1071_); trivial. % 1.33/1.46 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H1a. zenon_intro zenon_H14b. % 1.33/1.46 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H13b. zenon_intro zenon_H14c. % 1.33/1.46 apply (zenon_and_s _ _ zenon_H14c). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 1.33/1.46 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hd6 ]. % 1.33/1.46 apply (zenon_L1066_); trivial. % 1.33/1.46 apply (zenon_L1093_); trivial. % 1.33/1.46 (* end of lemma zenon_L1094_ *) % 1.33/1.46 assert (zenon_L1095_ : ((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> (~(c0_1 (a2))) -> (~(c0_1 (a30))) -> (~(c2_1 (a30))) -> (c1_1 (a30)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp10)) -> (c2_1 (a24)) -> (~(c1_1 (a24))) -> (~(c0_1 (a24))) -> (~(c3_1 (a2))) -> (c2_1 (a2)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(hskp5)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp5))) -> False). % 1.33/1.46 do 0 intro. intros zenon_H41 zenon_H177 zenon_H2d7 zenon_H201 zenon_H202 zenon_H203 zenon_H43 zenon_H2d zenon_H104 zenon_H103 zenon_H102 zenon_H2d8 zenon_H2d9 zenon_Hd3 zenon_Hd4 zenon_Hdc. % 1.33/1.46 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H1a. zenon_intro zenon_H44. % 1.33/1.46 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H1d. zenon_intro zenon_H45. % 1.33/1.46 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H1e. zenon_intro zenon_H1f. % 1.33/1.46 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hd6 ]. % 1.33/1.46 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hdd ]. % 1.33/1.46 apply (zenon_L198_); trivial. % 1.33/1.46 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hd5 ]. % 1.33/1.46 apply (zenon_or_s _ _ zenon_H43); [ zenon_intro zenon_H1b | zenon_intro zenon_H47 ]. % 1.33/1.46 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_Had | zenon_intro zenon_Hcd ]. % 1.33/1.46 apply (zenon_L1069_); trivial. % 1.33/1.46 apply (zenon_L128_); trivial. % 1.33/1.46 apply (zenon_or_s _ _ zenon_H47); [ zenon_intro zenon_H31 | zenon_intro zenon_H2e ]. % 1.33/1.46 apply (zenon_L291_); trivial. % 1.33/1.46 exact (zenon_H2d zenon_H2e). % 1.33/1.46 exact (zenon_Hd4 zenon_Hd5). % 1.33/1.46 apply (zenon_L1043_); trivial. % 1.33/1.46 (* end of lemma zenon_L1095_ *) % 1.33/1.46 assert (zenon_L1096_ : ((ndr1_0)/\((c1_1 (a30))/\((~(c0_1 (a30)))/\(~(c2_1 (a30)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp10)) -> (c2_1 (a24)) -> (~(c1_1 (a24))) -> (~(c0_1 (a24))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a2)) -> (~(c0_1 (a2))) -> (~(c3_1 (a2))) -> (~(c3_1 (a25))) -> (c0_1 (a25)) -> (c1_1 (a25)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp24))) -> False). % 1.33/1.46 do 0 intro. intros zenon_H20b zenon_H48 zenon_H177 zenon_H43 zenon_H2d zenon_H104 zenon_H103 zenon_H102 zenon_Hd3 zenon_Hdc zenon_Hd4 zenon_H2d9 zenon_H2d7 zenon_H2d8 zenon_H18e zenon_H18f zenon_H19a zenon_H1f8. % 1.33/1.46 apply (zenon_and_s _ _ zenon_H20b). zenon_intro zenon_H1a. zenon_intro zenon_H20c. % 1.33/1.46 apply (zenon_and_s _ _ zenon_H20c). zenon_intro zenon_H203. zenon_intro zenon_H20d. % 1.33/1.46 apply (zenon_and_s _ _ zenon_H20d). zenon_intro zenon_H201. zenon_intro zenon_H202. % 1.33/1.46 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H11 | zenon_intro zenon_H41 ]. % 1.33/1.46 apply (zenon_L1075_); trivial. % 1.33/1.46 apply (zenon_L1095_); trivial. % 1.33/1.46 (* end of lemma zenon_L1096_ *) % 1.33/1.46 assert (zenon_L1097_ : ((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(~(c3_1 (a25)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a30))/\((~(c0_1 (a30)))/\(~(c2_1 (a30))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp5))) -> (~(hskp5)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp24))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((hskp26)\/(hskp16))) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (~(c2_1 (a16))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (~(c0_1 (a2))) -> (~(c3_1 (a2))) -> (c2_1 (a2)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (c2_1 (a24)) -> (~(c1_1 (a24))) -> (~(c0_1 (a24))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> False). % 1.33/1.46 do 0 intro. intros zenon_H19f zenon_H20a zenon_H48 zenon_H43 zenon_H2d zenon_Hdc zenon_Hd4 zenon_H1f8 zenon_H1ff zenon_Heb zenon_Hea zenon_He9 zenon_H95 zenon_H2d7 zenon_H2d8 zenon_H2d9 zenon_Hd3 zenon_H104 zenon_H103 zenon_H102 zenon_H177 zenon_H1c1. % 1.33/1.46 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H1a. zenon_intro zenon_H1a0. % 1.33/1.46 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H18f. zenon_intro zenon_H1a1. % 1.33/1.46 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H19a. zenon_intro zenon_H18e. % 1.33/1.46 apply (zenon_or_s _ _ zenon_H20a); [ zenon_intro zenon_H1fd | zenon_intro zenon_H20b ]. % 1.33/1.46 apply (zenon_L1090_); trivial. % 1.33/1.46 apply (zenon_L1096_); trivial. % 1.33/1.46 (* end of lemma zenon_L1097_ *) % 1.33/1.46 assert (zenon_L1098_ : ((~(hskp14))\/((ndr1_0)/\((c2_1 (a24))/\((~(c0_1 (a24)))/\(~(c1_1 (a24))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(~(c3_1 (a25))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp24))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((hskp26)\/(hskp16))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (c0_1 (a14)) -> (~(c2_1 (a14))) -> (c3_1 (a14)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp5)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp5))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> (~(hskp4)) -> (~(hskp10)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a30))/\((~(c0_1 (a30)))/\(~(c2_1 (a30))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(hskp13)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/(hskp13))) -> (~(c2_1 (a16))) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> (~(hskp2)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((hskp2)\/(hskp14))) -> (ndr1_0) -> (~(c0_1 (a2))) -> (~(c3_1 (a2))) -> (c2_1 (a2)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> False). % 1.33/1.46 do 0 intro. intros zenon_H112 zenon_H1a2 zenon_H48 zenon_H1f8 zenon_H177 zenon_Hd3 zenon_H95 zenon_H1ff zenon_H149 zenon_H120 zenon_H11f zenon_H121 zenon_H14a zenon_Hd4 zenon_Hdc zenon_H1a9 zenon_Hd zenon_H2d zenon_H43 zenon_H17b zenon_H20a zenon_H1c1 zenon_H1f0 zenon_Hfc zenon_H5 zenon_H247 zenon_He9 zenon_Hea zenon_Heb zenon_Hfe zenon_H113 zenon_H1a zenon_H2d7 zenon_H2d8 zenon_H2d9 zenon_H1c2 zenon_H167. % 1.33/1.46 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_H100 | zenon_intro zenon_H10d ]. % 1.33/1.46 apply (zenon_L1089_); trivial. % 1.33/1.46 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_H1a. zenon_intro zenon_H10f. % 1.33/1.46 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H104. zenon_intro zenon_H110. % 1.33/1.46 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_H102. zenon_intro zenon_H103. % 1.33/1.46 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H146 | zenon_intro zenon_H19f ]. % 1.33/1.46 apply (zenon_or_s _ _ zenon_H20a); [ zenon_intro zenon_H1fd | zenon_intro zenon_H20b ]. % 1.33/1.46 apply (zenon_L1090_); trivial. % 1.33/1.46 apply (zenon_and_s _ _ zenon_H20b). zenon_intro zenon_H1a. zenon_intro zenon_H20c. % 1.33/1.46 apply (zenon_and_s _ _ zenon_H20c). zenon_intro zenon_H203. zenon_intro zenon_H20d. % 1.33/1.46 apply (zenon_and_s _ _ zenon_H20d). zenon_intro zenon_H201. zenon_intro zenon_H202. % 1.33/1.46 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.33/1.46 apply (zenon_L1072_); trivial. % 1.33/1.46 apply (zenon_L1094_); trivial. % 1.33/1.46 apply (zenon_L1097_); trivial. % 1.33/1.46 (* end of lemma zenon_L1098_ *) % 1.33/1.46 assert (zenon_L1099_ : ((~(hskp13))\/((ndr1_0)/\((~(c0_1 (a22)))/\((~(c2_1 (a22)))/\(~(c3_1 (a22))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(c3_1 X17))))))) -> (~(c3_1 (a5))) -> (~(c2_1 (a5))) -> (~(c1_1 (a5))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> (c2_1 (a2)) -> (~(c3_1 (a2))) -> (~(c0_1 (a2))) -> (ndr1_0) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((hskp2)\/(hskp14))) -> (~(hskp2)) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (~(c2_1 (a16))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/(hskp13))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a30))/\((~(c0_1 (a30)))/\(~(c2_1 (a30))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp10)) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c3_1 (a14)) -> (~(c2_1 (a14))) -> (c0_1 (a14)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((hskp26)\/(hskp16))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp24))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(~(c3_1 (a25))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a24))/\((~(c0_1 (a24)))/\(~(c1_1 (a24))))))) -> False). % 1.33/1.46 do 0 intro. intros zenon_H287 zenon_H2a1 zenon_H29c zenon_H289 zenon_H288 zenon_H167 zenon_H1c2 zenon_H2d9 zenon_H2d8 zenon_H2d7 zenon_H1a zenon_H113 zenon_Hfe zenon_Heb zenon_Hea zenon_He9 zenon_H247 zenon_Hfc zenon_H1f0 zenon_H1c1 zenon_H20a zenon_H17b zenon_H43 zenon_H2d zenon_Hd zenon_H1a9 zenon_Hdc zenon_Hd4 zenon_H14a zenon_H121 zenon_H11f zenon_H120 zenon_H149 zenon_H1ff zenon_H95 zenon_Hd3 zenon_H177 zenon_H1f8 zenon_H48 zenon_H1a2 zenon_H112. % 1.33/1.46 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H5 | zenon_intro zenon_H284 ]. % 1.33/1.46 apply (zenon_L1098_); trivial. % 1.33/1.46 apply (zenon_L1086_); trivial. % 1.33/1.46 (* end of lemma zenon_L1099_ *) % 1.33/1.46 assert (zenon_L1100_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> (~(c0_1 (a24))) -> (~(c1_1 (a24))) -> (c2_1 (a24)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (ndr1_0) -> (~(c0_1 (a2))) -> (~(c3_1 (a2))) -> (c2_1 (a2)) -> (~(hskp25)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> False). % 1.33/1.46 do 0 intro. intros zenon_H1c1 zenon_H177 zenon_H102 zenon_H103 zenon_H104 zenon_Hd3 zenon_H95 zenon_H1a zenon_H2d7 zenon_H2d8 zenon_H2d9 zenon_H12c zenon_H1c2. % 1.33/1.46 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1be ]. % 1.33/1.46 apply (zenon_L1025_); trivial. % 1.33/1.46 apply (zenon_L1052_); trivial. % 1.33/1.46 (* end of lemma zenon_L1100_ *) % 1.33/1.46 assert (zenon_L1101_ : ((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> (~(c0_1 (a24))) -> (~(c1_1 (a24))) -> (c2_1 (a24)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (~(c0_1 (a2))) -> (~(c3_1 (a2))) -> (c2_1 (a2)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> (c1_1 (a30)) -> (~(c2_1 (a30))) -> (~(c0_1 (a30))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> False). % 1.33/1.46 do 0 intro. intros zenon_H176 zenon_H1da zenon_H1c1 zenon_H177 zenon_H102 zenon_H103 zenon_H104 zenon_Hd3 zenon_H95 zenon_H2d7 zenon_H2d8 zenon_H2d9 zenon_H1c2 zenon_Hdc zenon_Hd4 zenon_H1c6 zenon_H203 zenon_H202 zenon_H201 zenon_H167. % 1.33/1.46 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1a. zenon_intro zenon_H178. % 1.33/1.46 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H16a. zenon_intro zenon_H179. % 1.33/1.46 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H171. zenon_intro zenon_H168. % 1.33/1.46 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.33/1.46 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H12c | zenon_intro zenon_H148 ]. % 1.33/1.46 apply (zenon_L1100_); trivial. % 1.33/1.46 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H1a. zenon_intro zenon_H14b. % 1.33/1.46 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H13b. zenon_intro zenon_H14c. % 1.33/1.46 apply (zenon_and_s _ _ zenon_H14c). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 1.33/1.47 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1be ]. % 1.33/1.47 apply (zenon_L1074_); trivial. % 1.33/1.47 apply (zenon_L1052_); trivial. % 1.33/1.47 apply (zenon_L312_); trivial. % 1.33/1.47 (* end of lemma zenon_L1101_ *) % 1.33/1.47 assert (zenon_L1102_ : ((ndr1_0)/\((c1_1 (a30))/\((~(c0_1 (a30)))/\(~(c2_1 (a30)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> (~(c0_1 (a24))) -> (~(c1_1 (a24))) -> (c2_1 (a24)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(c0_1 (a2))) -> (~(c3_1 (a2))) -> (c2_1 (a2)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c3_1 (a14)) -> (~(c2_1 (a14))) -> (c0_1 (a14)) -> (~(hskp15)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> False). % 1.33/1.47 do 0 intro. intros zenon_H20b zenon_H17b zenon_H1da zenon_H177 zenon_H102 zenon_H103 zenon_H104 zenon_H95 zenon_H1c6 zenon_H1c1 zenon_Hdc zenon_Hd4 zenon_Hd3 zenon_H2d7 zenon_H2d8 zenon_H2d9 zenon_H1c2 zenon_H14a zenon_H121 zenon_H11f zenon_H120 zenon_H146 zenon_H149 zenon_H167. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H20b). zenon_intro zenon_H1a. zenon_intro zenon_H20c. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H20c). zenon_intro zenon_H203. zenon_intro zenon_H20d. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H20d). zenon_intro zenon_H201. zenon_intro zenon_H202. % 1.33/1.47 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.33/1.47 apply (zenon_L1072_); trivial. % 1.33/1.47 apply (zenon_L1101_); trivial. % 1.33/1.47 (* end of lemma zenon_L1102_ *) % 1.33/1.47 assert (zenon_L1103_ : ((~(hskp16))\/((ndr1_0)/\((c1_1 (a30))/\((~(c0_1 (a30)))/\(~(c2_1 (a30))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c3_1 (a14)) -> (~(c2_1 (a14))) -> (c0_1 (a14)) -> (~(hskp15)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((hskp26)\/(hskp16))) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (~(c2_1 (a16))) -> (ndr1_0) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (~(c0_1 (a2))) -> (~(c3_1 (a2))) -> (c2_1 (a2)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (c2_1 (a24)) -> (~(c1_1 (a24))) -> (~(c0_1 (a24))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> False). % 1.33/1.47 do 0 intro. intros zenon_H20a zenon_H17b zenon_H1da zenon_H1c6 zenon_Hdc zenon_Hd4 zenon_H1c2 zenon_H14a zenon_H121 zenon_H11f zenon_H120 zenon_H146 zenon_H149 zenon_H167 zenon_H1ff zenon_Heb zenon_Hea zenon_He9 zenon_H1a zenon_H95 zenon_H2d7 zenon_H2d8 zenon_H2d9 zenon_Hd3 zenon_H104 zenon_H103 zenon_H102 zenon_H177 zenon_H1c1. % 1.33/1.47 apply (zenon_or_s _ _ zenon_H20a); [ zenon_intro zenon_H1fd | zenon_intro zenon_H20b ]. % 1.33/1.47 apply (zenon_L1090_); trivial. % 1.33/1.47 apply (zenon_L1102_); trivial. % 1.33/1.47 (* end of lemma zenon_L1103_ *) % 1.33/1.47 assert (zenon_L1104_ : ((ndr1_0)/\((c0_1 (a16))/\((~(c2_1 (a16)))/\(~(c3_1 (a16)))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a18))/\((c2_1 (a18))/\(~(c3_1 (a18))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a24))/\((~(c0_1 (a24)))/\(~(c1_1 (a24))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(~(c3_1 (a25))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp24))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((hskp26)\/(hskp16))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (c0_1 (a14)) -> (~(c2_1 (a14))) -> (c3_1 (a14)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp5)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp5))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a30))/\((~(c0_1 (a30)))/\(~(c2_1 (a30))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/(hskp13))) -> (~(hskp2)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((hskp2)\/(hskp14))) -> (~(c0_1 (a2))) -> (~(c3_1 (a2))) -> (c2_1 (a2)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> (~(c1_1 (a5))) -> (~(c2_1 (a5))) -> (~(c3_1 (a5))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(c3_1 X17))))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c0_1 (a22)))/\((~(c2_1 (a22)))/\(~(c3_1 (a22))))))) -> False). % 1.33/1.47 do 0 intro. intros zenon_H216 zenon_H212 zenon_H1da zenon_H1c6 zenon_H112 zenon_H1a2 zenon_H48 zenon_H1f8 zenon_H177 zenon_Hd3 zenon_H95 zenon_H1ff zenon_H149 zenon_H120 zenon_H11f zenon_H121 zenon_H14a zenon_Hd4 zenon_Hdc zenon_H1a9 zenon_Hd zenon_H43 zenon_H17b zenon_H20a zenon_H1c1 zenon_H1f0 zenon_Hfc zenon_H247 zenon_Hfe zenon_H113 zenon_H2d7 zenon_H2d8 zenon_H2d9 zenon_H1c2 zenon_H167 zenon_H288 zenon_H289 zenon_H29c zenon_H2a1 zenon_H287. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_H1a. zenon_intro zenon_H21a. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_Heb. zenon_intro zenon_H21b. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_He9. zenon_intro zenon_Hea. % 1.33/1.47 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H2d | zenon_intro zenon_H217 ]. % 1.33/1.47 apply (zenon_L1099_); trivial. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H1a. zenon_intro zenon_H218. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_He0. zenon_intro zenon_H219. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_Hc2. zenon_intro zenon_Hc1. % 1.33/1.47 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H5 | zenon_intro zenon_H284 ]. % 1.33/1.47 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_H100 | zenon_intro zenon_H10d ]. % 1.33/1.47 apply (zenon_L1089_); trivial. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_H1a. zenon_intro zenon_H10f. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H104. zenon_intro zenon_H110. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_H102. zenon_intro zenon_H103. % 1.33/1.47 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H146 | zenon_intro zenon_H19f ]. % 1.33/1.47 apply (zenon_L1103_); trivial. % 1.33/1.47 apply (zenon_L1059_); trivial. % 1.33/1.47 apply (zenon_L1086_); trivial. % 1.33/1.47 (* end of lemma zenon_L1104_ *) % 1.33/1.47 assert (zenon_L1105_ : ((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> (~(c0_1 (a2))) -> (c2_1 (a2)) -> (~(c3_1 (a2))) -> (~(hskp7)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(hskp7)) -> (~(c0_1 (a24))) -> (~(c1_1 (a24))) -> (c2_1 (a24)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> False). % 1.33/1.47 do 0 intro. intros zenon_H1d7 zenon_H177 zenon_H2d7 zenon_H2d9 zenon_H2d8 zenon_H1 zenon_Hb7 zenon_H102 zenon_H103 zenon_H104 zenon_H95. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H1a. zenon_intro zenon_H1d8. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1d0. zenon_intro zenon_H1d9. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1ce. zenon_intro zenon_H1cf. % 1.33/1.47 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hd6 ]. % 1.33/1.47 apply (zenon_L310_); trivial. % 1.33/1.47 apply (zenon_L1030_); trivial. % 1.33/1.47 (* end of lemma zenon_L1105_ *) % 1.33/1.47 assert (zenon_L1106_ : ((ndr1_0)/\((c2_1 (a24))/\((~(c0_1 (a24)))/\(~(c1_1 (a24)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> (~(hskp7)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(hskp7)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> (c2_1 (a18)) -> (c0_1 (a18)) -> (~(c3_1 (a18))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (~(c0_1 (a2))) -> (~(c3_1 (a2))) -> (c2_1 (a2)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> False). % 1.33/1.47 do 0 intro. intros zenon_H10d zenon_H1da zenon_H1 zenon_Hb7 zenon_H1c6 zenon_Hc2 zenon_He0 zenon_Hc1 zenon_H95 zenon_H2d7 zenon_H2d8 zenon_H2d9 zenon_Hd3 zenon_H177 zenon_H1c1. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_H1a. zenon_intro zenon_H10f. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H104. zenon_intro zenon_H110. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_H102. zenon_intro zenon_H103. % 1.33/1.47 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.33/1.47 apply (zenon_L1053_); trivial. % 1.33/1.47 apply (zenon_L1105_); trivial. % 1.33/1.47 (* end of lemma zenon_L1106_ *) % 1.33/1.47 assert (zenon_L1107_ : ((ndr1_0)/\((c0_1 (a18))/\((c2_1 (a18))/\(~(c3_1 (a18)))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c0_1 (a22)))/\((~(c2_1 (a22)))/\(~(c3_1 (a22))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(c3_1 X17))))))) -> (~(c3_1 (a5))) -> (~(c2_1 (a5))) -> (~(c1_1 (a5))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> (c2_1 (a2)) -> (~(c3_1 (a2))) -> (~(c0_1 (a2))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((hskp2)\/(hskp14))) -> (~(hskp2)) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (~(c2_1 (a16))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/(hskp13))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(hskp7)) -> (~(hskp7)) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a24))/\((~(c0_1 (a24)))/\(~(c1_1 (a24))))))) -> False). % 1.33/1.47 do 0 intro. intros zenon_H217 zenon_H287 zenon_H2a1 zenon_H29c zenon_H289 zenon_H288 zenon_H167 zenon_H1c2 zenon_H2d9 zenon_H2d8 zenon_H2d7 zenon_H113 zenon_Hfe zenon_Heb zenon_Hea zenon_He9 zenon_H247 zenon_Hfc zenon_H1f0 zenon_H1c1 zenon_H177 zenon_Hd3 zenon_H95 zenon_H1c6 zenon_Hb7 zenon_H1 zenon_H1da zenon_H112. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H1a. zenon_intro zenon_H218. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_He0. zenon_intro zenon_H219. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_Hc2. zenon_intro zenon_Hc1. % 1.33/1.47 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H5 | zenon_intro zenon_H284 ]. % 1.33/1.47 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_H100 | zenon_intro zenon_H10d ]. % 1.33/1.47 apply (zenon_L1089_); trivial. % 1.33/1.47 apply (zenon_L1106_); trivial. % 1.33/1.47 apply (zenon_L1086_); trivial. % 1.33/1.47 (* end of lemma zenon_L1107_ *) % 1.33/1.47 assert (zenon_L1108_ : ((ndr1_0)/\((c0_1 (a15))/\((~(c1_1 (a15)))/\(~(c2_1 (a15)))))) -> ((~(hskp9))\/((ndr1_0)/\((c0_1 (a16))/\((~(c2_1 (a16)))/\(~(c3_1 (a16))))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a18))/\((c2_1 (a18))/\(~(c3_1 (a18))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(hskp7)) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a24))/\((~(c0_1 (a24)))/\(~(c1_1 (a24))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> (~(hskp4)) -> ((hskp24)\/((hskp23)\/(hskp0))) -> (~(hskp0)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/(hskp13))) -> (~(hskp2)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((hskp2)\/(hskp14))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((hskp7)\/((hskp9)\/(hskp13))) -> (~(hskp7)) -> (~(c0_1 (a2))) -> (~(c3_1 (a2))) -> (c2_1 (a2)) -> (~(c1_1 (a5))) -> (~(c2_1 (a5))) -> (~(c3_1 (a5))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(c3_1 X17))))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c0_1 (a22)))/\((~(c2_1 (a22)))/\(~(c3_1 (a22))))))) -> False). % 1.33/1.47 do 0 intro. intros zenon_H20e zenon_H215 zenon_H212 zenon_H1c6 zenon_Hb7 zenon_H1da zenon_H112 zenon_H9d zenon_H1a9 zenon_Hd zenon_H17 zenon_H15 zenon_H95 zenon_Hd3 zenon_H43 zenon_H177 zenon_H48 zenon_H1c1 zenon_H1f0 zenon_Hfc zenon_H247 zenon_Hfe zenon_H113 zenon_H1c2 zenon_H167 zenon_H7 zenon_H1 zenon_H2d7 zenon_H2d8 zenon_H2d9 zenon_H288 zenon_H289 zenon_H29c zenon_H2a1 zenon_H287. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H20e). zenon_intro zenon_H1a. zenon_intro zenon_H20f. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H20f). zenon_intro zenon_H117. zenon_intro zenon_H210. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H210). zenon_intro zenon_H115. zenon_intro zenon_H116. % 1.33/1.47 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H3 | zenon_intro zenon_H216 ]. % 1.33/1.47 apply (zenon_L1087_); trivial. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_H1a. zenon_intro zenon_H21a. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_Heb. zenon_intro zenon_H21b. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_He9. zenon_intro zenon_Hea. % 1.33/1.47 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H2d | zenon_intro zenon_H217 ]. % 1.33/1.47 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H5 | zenon_intro zenon_H284 ]. % 1.33/1.47 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_H100 | zenon_intro zenon_H10d ]. % 1.33/1.47 apply (zenon_L1089_); trivial. % 1.33/1.47 apply (zenon_L1050_); trivial. % 1.33/1.47 apply (zenon_L1086_); trivial. % 1.33/1.47 apply (zenon_L1107_); trivial. % 1.33/1.47 (* end of lemma zenon_L1108_ *) % 1.33/1.47 assert (zenon_L1109_ : ((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> (~(c0_1 (a2))) -> (c2_1 (a2)) -> (~(c3_1 (a2))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(c3_1 (a32))) -> (~(c1_1 (a32))) -> (~(c0_1 (a32))) -> False). % 1.33/1.47 do 0 intro. intros zenon_H41 zenon_H177 zenon_H2d7 zenon_H2d9 zenon_H2d8 zenon_Hd3 zenon_H151 zenon_H150 zenon_H14f. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H1a. zenon_intro zenon_H44. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H1d. zenon_intro zenon_H45. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H1e. zenon_intro zenon_H1f. % 1.33/1.47 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hd6 ]. % 1.33/1.47 apply (zenon_L87_); trivial. % 1.33/1.47 apply (zenon_L1043_); trivial. % 1.33/1.47 (* end of lemma zenon_L1109_ *) % 1.33/1.47 assert (zenon_L1110_ : ((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> (~(c0_1 (a2))) -> (c2_1 (a2)) -> (~(c3_1 (a2))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(c3_1 (a25))) -> (c0_1 (a25)) -> (c1_1 (a25)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp24))) -> False). % 1.33/1.47 do 0 intro. intros zenon_H17c zenon_H48 zenon_H177 zenon_H2d7 zenon_H2d9 zenon_H2d8 zenon_Hd3 zenon_H18e zenon_H18f zenon_H19a zenon_H1f8. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H17c). zenon_intro zenon_H1a. zenon_intro zenon_H17d. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H14f. zenon_intro zenon_H17e. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_H150. zenon_intro zenon_H151. % 1.33/1.47 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H11 | zenon_intro zenon_H41 ]. % 1.33/1.47 apply (zenon_L188_); trivial. % 1.33/1.47 apply (zenon_L1109_); trivial. % 1.33/1.47 (* end of lemma zenon_L1110_ *) % 1.33/1.47 assert (zenon_L1111_ : ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> (~(c0_1 (a2))) -> (c2_1 (a2)) -> (~(c3_1 (a2))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(c3_1 (a25))) -> (c0_1 (a25)) -> (c1_1 (a25)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp24))) -> (ndr1_0) -> (~(c2_1 (a14))) -> (c0_1 (a14)) -> (c3_1 (a14)) -> (~(hskp17)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> False). % 1.33/1.47 do 0 intro. intros zenon_H17a zenon_H48 zenon_H177 zenon_H2d7 zenon_H2d9 zenon_H2d8 zenon_Hd3 zenon_H18e zenon_H18f zenon_H19a zenon_H1f8 zenon_H1a zenon_H11f zenon_H120 zenon_H121 zenon_H9 zenon_H12a. % 1.33/1.47 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H128 | zenon_intro zenon_H17c ]. % 1.33/1.47 apply (zenon_L78_); trivial. % 1.33/1.47 apply (zenon_L1110_); trivial. % 1.33/1.47 (* end of lemma zenon_L1111_ *) % 1.33/1.47 assert (zenon_L1112_ : ((~(hskp23))\/((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> (c2_1 (a31)) -> (c0_1 (a31)) -> (~(c1_1 (a31))) -> (~(c2_1 (a14))) -> (c0_1 (a14)) -> (c3_1 (a14)) -> (c0_1 (a18)) -> (c2_1 (a18)) -> (~(c3_1 (a18))) -> (~(hskp19)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp4)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> ((hskp24)\/((hskp23)\/(hskp0))) -> (~(hskp0)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(c3_1 (a2))) -> (c2_1 (a2)) -> (~(c0_1 (a2))) -> (~(hskp8)) -> (~(hskp9)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp8)\/(hskp9))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> False). % 1.33/1.47 do 0 intro. intros zenon_H9d zenon_H1a9 zenon_H233 zenon_H234 zenon_H235 zenon_H33 zenon_H3c zenon_H32 zenon_H11f zenon_H120 zenon_H121 zenon_He0 zenon_Hc2 zenon_Hc1 zenon_H144 zenon_H14a zenon_Hd zenon_H42 zenon_H17 zenon_H15 zenon_Hd3 zenon_H2d8 zenon_H2d9 zenon_H2d7 zenon_Hb zenon_H3 zenon_H1a3 zenon_H48. % 1.33/1.47 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H13 | zenon_intro zenon_Ha1 ]. % 1.33/1.47 apply (zenon_L1045_); trivial. % 1.33/1.47 apply (zenon_L275_); trivial. % 1.33/1.47 (* end of lemma zenon_L1112_ *) % 1.33/1.47 assert (zenon_L1113_ : ((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> (~(hskp20)) -> (c2_1 (a19)) -> (~(c1_1 (a19))) -> (~(c3_1 (a19))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(c3_1 (a2))) -> (c2_1 (a2)) -> (~(c0_1 (a2))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> False). % 1.33/1.47 do 0 intro. intros zenon_H41 zenon_H1c1 zenon_H1c6 zenon_H1c4 zenon_Hb0 zenon_Hae zenon_Haf zenon_Hd3 zenon_H2d8 zenon_H2d9 zenon_H2d7 zenon_H177. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H1a. zenon_intro zenon_H44. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H1d. zenon_intro zenon_H45. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H1e. zenon_intro zenon_H1f. % 1.33/1.47 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1be ]. % 1.33/1.47 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hd6 ]. % 1.33/1.47 apply (zenon_L140_); trivial. % 1.33/1.47 apply (zenon_L1043_); trivial. % 1.33/1.47 apply (zenon_L134_); trivial. % 1.33/1.47 (* end of lemma zenon_L1113_ *) % 1.33/1.47 assert (zenon_L1114_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> (~(c3_1 (a2))) -> (c2_1 (a2)) -> (~(c0_1 (a2))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp24))) -> (c1_1 (a25)) -> (c0_1 (a25)) -> (~(c3_1 (a25))) -> (ndr1_0) -> (~(c3_1 (a19))) -> (~(c1_1 (a19))) -> (c2_1 (a19)) -> (~(hskp20)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> False). % 1.33/1.47 do 0 intro. intros zenon_H48 zenon_H2d8 zenon_H2d9 zenon_H2d7 zenon_H177 zenon_H1f8 zenon_H19a zenon_H18f zenon_H18e zenon_H1a zenon_Haf zenon_Hae zenon_Hb0 zenon_H1c4 zenon_H1c6 zenon_Hd3 zenon_H1c1. % 1.33/1.47 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H11 | zenon_intro zenon_H41 ]. % 1.33/1.47 apply (zenon_L660_); trivial. % 1.33/1.47 apply (zenon_L1113_); trivial. % 1.33/1.47 (* end of lemma zenon_L1114_ *) % 1.33/1.47 assert (zenon_L1115_ : ((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp8)\/(hskp9))) -> (~(hskp9)) -> (~(hskp8)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> (c2_1 (a19)) -> (~(c1_1 (a19))) -> (~(c3_1 (a19))) -> (~(c3_1 (a25))) -> (c0_1 (a25)) -> (c1_1 (a25)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp24))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> (~(c0_1 (a2))) -> (c2_1 (a2)) -> (~(c3_1 (a2))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> False). % 1.33/1.47 do 0 intro. intros zenon_H176 zenon_H1da zenon_H1a3 zenon_H3 zenon_Hb zenon_H95 zenon_H1c1 zenon_Hd3 zenon_H1c6 zenon_Hb0 zenon_Hae zenon_Haf zenon_H18e zenon_H18f zenon_H19a zenon_H1f8 zenon_H177 zenon_H2d7 zenon_H2d9 zenon_H2d8 zenon_H48. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1a. zenon_intro zenon_H178. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H16a. zenon_intro zenon_H179. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H171. zenon_intro zenon_H168. % 1.33/1.47 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.33/1.47 apply (zenon_L1114_); trivial. % 1.33/1.47 apply (zenon_L146_); trivial. % 1.33/1.47 (* end of lemma zenon_L1115_ *) % 1.33/1.47 assert (zenon_L1116_ : ((ndr1_0)/\((c2_1 (a24))/\((~(c0_1 (a24)))/\(~(c1_1 (a24)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(~(c3_1 (a25))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp24))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (~(c0_1 (a2))) -> (~(c3_1 (a2))) -> (c2_1 (a2)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(c3_1 (a18))) -> (c2_1 (a18)) -> (c0_1 (a18)) -> (c3_1 (a14)) -> (~(c2_1 (a14))) -> (c0_1 (a14)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> (~(hskp11)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> False). % 1.33/1.47 do 0 intro. intros zenon_H10d zenon_H1a2 zenon_H1da zenon_H48 zenon_H1f8 zenon_H1c6 zenon_H95 zenon_H2d7 zenon_H2d8 zenon_H2d9 zenon_Hd3 zenon_H177 zenon_H1c1 zenon_H42 zenon_Hd zenon_H14a zenon_Hc1 zenon_Hc2 zenon_He0 zenon_H121 zenon_H11f zenon_H120 zenon_H149 zenon_H235 zenon_H234 zenon_H233 zenon_H91 zenon_H93 zenon_H17b. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_H1a. zenon_intro zenon_H10f. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H104. zenon_intro zenon_H110. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_H102. zenon_intro zenon_H103. % 1.33/1.47 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H146 | zenon_intro zenon_H19f ]. % 1.33/1.47 apply (zenon_L253_); trivial. % 1.33/1.47 apply (zenon_L1059_); trivial. % 1.33/1.47 (* end of lemma zenon_L1116_ *) % 1.33/1.47 assert (zenon_L1117_ : ((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(~(c3_1 (a25)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (c2_1 (a24)) -> (~(c1_1 (a24))) -> (~(c0_1 (a24))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> (c2_1 (a19)) -> (~(c1_1 (a19))) -> (~(c3_1 (a19))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp24))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> (~(c0_1 (a2))) -> (c2_1 (a2)) -> (~(c3_1 (a2))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> False). % 1.33/1.47 do 0 intro. intros zenon_H19f zenon_H1da zenon_H95 zenon_H104 zenon_H103 zenon_H102 zenon_H1c1 zenon_Hd3 zenon_H1c6 zenon_Hb0 zenon_Hae zenon_Haf zenon_H1f8 zenon_H177 zenon_H2d7 zenon_H2d9 zenon_H2d8 zenon_H48. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H1a. zenon_intro zenon_H1a0. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H18f. zenon_intro zenon_H1a1. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H19a. zenon_intro zenon_H18e. % 1.33/1.47 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.33/1.47 apply (zenon_L1114_); trivial. % 1.33/1.47 apply (zenon_L1058_); trivial. % 1.33/1.47 (* end of lemma zenon_L1117_ *) % 1.33/1.47 assert (zenon_L1118_ : ((ndr1_0)/\((c2_1 (a24))/\((~(c0_1 (a24)))/\(~(c1_1 (a24)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(~(c3_1 (a25))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp24))) -> (~(c0_1 (a2))) -> (c2_1 (a2)) -> (~(c3_1 (a2))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(c3_1 (a18))) -> (c2_1 (a18)) -> (c0_1 (a18)) -> (c3_1 (a14)) -> (~(c2_1 (a14))) -> (c0_1 (a14)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (c2_1 (a19)) -> (~(c3_1 (a19))) -> (~(c1_1 (a19))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> False). % 1.33/1.47 do 0 intro. intros zenon_H10d zenon_H1a2 zenon_H1f8 zenon_H2d7 zenon_H2d9 zenon_H2d8 zenon_H48 zenon_H42 zenon_Hd zenon_H14a zenon_Hc1 zenon_Hc2 zenon_He0 zenon_H121 zenon_H11f zenon_H120 zenon_H149 zenon_H235 zenon_H234 zenon_H233 zenon_H1c1 zenon_Hd3 zenon_Hb0 zenon_Haf zenon_Hae zenon_H1c6 zenon_H95 zenon_H177 zenon_H1da zenon_H17b. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_H1a. zenon_intro zenon_H10f. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H104. zenon_intro zenon_H110. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_H102. zenon_intro zenon_H103. % 1.33/1.47 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H146 | zenon_intro zenon_H19f ]. % 1.33/1.47 apply (zenon_L314_); trivial. % 1.33/1.47 apply (zenon_L1117_); trivial. % 1.33/1.47 (* end of lemma zenon_L1118_ *) % 1.33/1.47 assert (zenon_L1119_ : ((ndr1_0)/\((~(c0_1 (a22)))/\((~(c2_1 (a22)))/\(~(c3_1 (a22)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(c3_1 X17))))))) -> (~(hskp4)) -> (~(c1_1 (a19))) -> (~(c3_1 (a19))) -> (c2_1 (a19)) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> (~(c1_1 (a5))) -> (~(c2_1 (a5))) -> (~(c3_1 (a5))) -> False). % 1.33/1.47 do 0 intro. intros zenon_H284 zenon_H2a1 zenon_Hd zenon_Hae zenon_Haf zenon_Hb0 zenon_H233 zenon_H234 zenon_H235 zenon_H42 zenon_H288 zenon_H289 zenon_H29c. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H284). zenon_intro zenon_H1a. zenon_intro zenon_H285. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_H80. zenon_intro zenon_H286. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H286). zenon_intro zenon_H89. zenon_intro zenon_H81. % 1.33/1.47 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H1e7 | zenon_intro zenon_H2a2 ]. % 1.33/1.47 apply (zenon_L221_); trivial. % 1.33/1.47 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H1ab | zenon_intro zenon_H29b ]. % 1.33/1.47 apply (zenon_L304_); trivial. % 1.33/1.47 apply (zenon_L532_); trivial. % 1.33/1.47 (* end of lemma zenon_L1119_ *) % 1.33/1.47 assert (zenon_L1120_ : ((ndr1_0)/\((c0_1 (a18))/\((c2_1 (a18))/\(~(c3_1 (a18)))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a19))/\((~(c1_1 (a19)))/\(~(c3_1 (a19))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a24))/\((~(c0_1 (a24)))/\(~(c1_1 (a24))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(~(c3_1 (a25))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp24))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c3_1 (a14)) -> (~(c2_1 (a14))) -> (c0_1 (a14)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/(hskp13))) -> (~(c2_1 (a16))) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> (~(hskp2)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((hskp2)\/(hskp14))) -> (~(c0_1 (a2))) -> (~(c3_1 (a2))) -> (c2_1 (a2)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> (~(c1_1 (a5))) -> (~(c2_1 (a5))) -> (~(c3_1 (a5))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(c3_1 X17))))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c0_1 (a22)))/\((~(c2_1 (a22)))/\(~(c3_1 (a22))))))) -> False). % 1.33/1.47 do 0 intro. intros zenon_H217 zenon_H213 zenon_H112 zenon_H1a2 zenon_H1da zenon_H48 zenon_H1f8 zenon_H1c6 zenon_H95 zenon_Hd3 zenon_H177 zenon_H42 zenon_Hd zenon_H14a zenon_H121 zenon_H11f zenon_H120 zenon_H149 zenon_H235 zenon_H234 zenon_H233 zenon_H93 zenon_H17b zenon_H1c1 zenon_H1f0 zenon_Hfc zenon_H247 zenon_He9 zenon_Hea zenon_Heb zenon_Hfe zenon_H113 zenon_H2d7 zenon_H2d8 zenon_H2d9 zenon_H1c2 zenon_H167 zenon_H288 zenon_H289 zenon_H29c zenon_H2a1 zenon_H287. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H1a. zenon_intro zenon_H218. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_He0. zenon_intro zenon_H219. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_Hc2. zenon_intro zenon_Hc1. % 1.33/1.47 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H91 | zenon_intro zenon_He5 ]. % 1.33/1.47 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H5 | zenon_intro zenon_H284 ]. % 1.33/1.47 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_H100 | zenon_intro zenon_H10d ]. % 1.33/1.47 apply (zenon_L1089_); trivial. % 1.33/1.47 apply (zenon_L1116_); trivial. % 1.33/1.47 apply (zenon_L1086_); trivial. % 1.33/1.47 apply (zenon_and_s _ _ zenon_He5). zenon_intro zenon_H1a. zenon_intro zenon_He6. % 1.33/1.47 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_Hb0. zenon_intro zenon_He7. % 1.33/1.47 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hae. zenon_intro zenon_Haf. % 1.33/1.47 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H5 | zenon_intro zenon_H284 ]. % 1.33/1.47 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_H100 | zenon_intro zenon_H10d ]. % 1.33/1.47 apply (zenon_L1089_); trivial. % 1.33/1.47 apply (zenon_L1118_); trivial. % 1.33/1.47 apply (zenon_L1119_); trivial. % 1.33/1.47 (* end of lemma zenon_L1120_ *) % 1.33/1.47 assert (zenon_L1121_ : ((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32)))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> (~(hskp4)) -> (c0_1 (a15)) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> ((hskp24)\/((hskp23)\/(hskp0))) -> (~(hskp0)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(c3_1 (a2))) -> (c2_1 (a2)) -> (~(c0_1 (a2))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> False). % 1.33/1.47 do 0 intro. intros zenon_H17c zenon_H9d zenon_H1a9 zenon_Hd zenon_H117 zenon_H116 zenon_H115 zenon_H17 zenon_H15 zenon_Hd3 zenon_H2d8 zenon_H2d9 zenon_H2d7 zenon_H177 zenon_H48. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H17c). zenon_intro zenon_H1a. zenon_intro zenon_H17d. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H14f. zenon_intro zenon_H17e. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_H150. zenon_intro zenon_H151. % 1.33/1.47 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H13 | zenon_intro zenon_Ha1 ]. % 1.33/1.47 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H11 | zenon_intro zenon_H41 ]. % 1.33/1.47 apply (zenon_L12_); trivial. % 1.33/1.47 apply (zenon_L1109_); trivial. % 1.33/1.47 apply (zenon_L511_); trivial. % 1.33/1.47 (* end of lemma zenon_L1121_ *) % 1.33/1.47 assert (zenon_L1122_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> (~(hskp10)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> (c3_1 (a14)) -> (c0_1 (a14)) -> (~(c2_1 (a14))) -> (ndr1_0) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> (~(c0_1 (a2))) -> (c2_1 (a2)) -> (~(c3_1 (a2))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(hskp0)) -> ((hskp24)\/((hskp23)\/(hskp0))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (c0_1 (a15)) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a53))/\((~(c0_1 (a53)))/\(~(c1_1 (a53))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> False). % 1.33/1.47 do 0 intro. intros zenon_H9c zenon_H42 zenon_H2d zenon_H43 zenon_H235 zenon_H234 zenon_H233 zenon_H12a zenon_H121 zenon_H120 zenon_H11f zenon_H1a zenon_H48 zenon_H177 zenon_H2d7 zenon_H2d9 zenon_H2d8 zenon_Hd3 zenon_H15 zenon_H17 zenon_H115 zenon_H116 zenon_H117 zenon_Hd zenon_H1a9 zenon_H9d zenon_H17a. % 1.33/1.47 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.33/1.47 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H128 | zenon_intro zenon_H17c ]. % 1.33/1.47 apply (zenon_L78_); trivial. % 1.33/1.47 apply (zenon_L1121_); trivial. % 1.33/1.47 apply (zenon_L244_); trivial. % 1.33/1.47 (* end of lemma zenon_L1122_ *) % 1.33/1.47 assert (zenon_L1123_ : ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp19)) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (~(c2_1 (a6))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> (c2_1 (a2)) -> (~(c3_1 (a2))) -> (~(c0_1 (a2))) -> (ndr1_0) -> (~(c0_1 (a30))) -> (~(c2_1 (a30))) -> (c1_1 (a30)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(hskp5)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp5))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> False). % 1.33/1.47 do 0 intro. intros zenon_H167 zenon_H14a zenon_H144 zenon_H256 zenon_H255 zenon_H254 zenon_H1c2 zenon_H2d9 zenon_H2d8 zenon_H2d7 zenon_H1a zenon_H201 zenon_H202 zenon_H203 zenon_Hd3 zenon_Hd4 zenon_Hdc zenon_H1c1. % 1.33/1.47 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H12c | zenon_intro zenon_H148 ]. % 1.33/1.47 apply (zenon_L1071_); trivial. % 1.33/1.47 apply (zenon_L319_); trivial. % 1.33/1.47 (* end of lemma zenon_L1123_ *) % 1.33/1.47 assert (zenon_L1124_ : ((ndr1_0)/\((c0_1 (a16))/\((~(c2_1 (a16)))/\(~(c3_1 (a16)))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c0_1 (a22)))/\((~(c2_1 (a22)))/\(~(c3_1 (a22))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(c3_1 X17))))))) -> (~(c3_1 (a5))) -> (~(c2_1 (a5))) -> (~(c1_1 (a5))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> (c2_1 (a2)) -> (~(c3_1 (a2))) -> (~(c0_1 (a2))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((hskp2)\/(hskp14))) -> (~(hskp2)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/(hskp13))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((hskp26)\/(hskp16))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (~(c2_1 (a6))) -> (~(hskp5)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp5))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a30))/\((~(c0_1 (a30)))/\(~(c2_1 (a30))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a24))/\((~(c0_1 (a24)))/\(~(c1_1 (a24))))))) -> False). % 1.33/1.47 do 0 intro. intros zenon_H216 zenon_H287 zenon_H2a1 zenon_H29c zenon_H289 zenon_H288 zenon_H167 zenon_H1c2 zenon_H2d9 zenon_H2d8 zenon_H2d7 zenon_H113 zenon_Hfe zenon_H247 zenon_Hfc zenon_H1f0 zenon_H1c1 zenon_H177 zenon_Hd3 zenon_H95 zenon_H1ff zenon_H14a zenon_H256 zenon_H255 zenon_H254 zenon_Hd4 zenon_Hdc zenon_H1c6 zenon_H1da zenon_H17b zenon_H20a zenon_H112. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_H1a. zenon_intro zenon_H21a. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_Heb. zenon_intro zenon_H21b. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_He9. zenon_intro zenon_Hea. % 1.33/1.47 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H5 | zenon_intro zenon_H284 ]. % 1.33/1.47 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_H100 | zenon_intro zenon_H10d ]. % 1.33/1.47 apply (zenon_L1089_); trivial. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_H1a. zenon_intro zenon_H10f. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H104. zenon_intro zenon_H110. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_H102. zenon_intro zenon_H103. % 1.33/1.47 apply (zenon_or_s _ _ zenon_H20a); [ zenon_intro zenon_H1fd | zenon_intro zenon_H20b ]. % 1.33/1.47 apply (zenon_L1090_); trivial. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H20b). zenon_intro zenon_H1a. zenon_intro zenon_H20c. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H20c). zenon_intro zenon_H203. zenon_intro zenon_H20d. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H20d). zenon_intro zenon_H201. zenon_intro zenon_H202. % 1.33/1.47 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.33/1.47 apply (zenon_L1123_); trivial. % 1.33/1.47 apply (zenon_L1101_); trivial. % 1.33/1.47 apply (zenon_L1086_); trivial. % 1.33/1.47 (* end of lemma zenon_L1124_ *) % 1.33/1.47 assert (zenon_L1125_ : ((ndr1_0)/\((c2_1 (a24))/\((~(c0_1 (a24)))/\(~(c1_1 (a24)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp10)) -> (~(c0_1 (a2))) -> (~(c3_1 (a2))) -> (c2_1 (a2)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> (~(hskp9)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((hskp9)\/(hskp24))) -> False). % 1.33/1.47 do 0 intro. intros zenon_H10d zenon_H48 zenon_H177 zenon_H43 zenon_H2d zenon_H2d7 zenon_H2d8 zenon_H2d9 zenon_Hd3 zenon_H95 zenon_H254 zenon_H255 zenon_H256 zenon_H3 zenon_H7b. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_H1a. zenon_intro zenon_H10f. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H104. zenon_intro zenon_H110. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_H102. zenon_intro zenon_H103. % 1.33/1.47 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H11 | zenon_intro zenon_H41 ]. % 1.33/1.47 apply (zenon_L329_); trivial. % 1.33/1.47 apply (zenon_L1049_); trivial. % 1.33/1.47 (* end of lemma zenon_L1125_ *) % 1.33/1.47 assert (zenon_L1126_ : ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> (c2_1 (a2)) -> (~(c3_1 (a2))) -> (~(c0_1 (a2))) -> (ndr1_0) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp19)) -> (~(c3_1 (a18))) -> (c2_1 (a18)) -> (c0_1 (a18)) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (~(c2_1 (a6))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> False). % 1.33/1.47 do 0 intro. intros zenon_H167 zenon_H1c2 zenon_H2d9 zenon_H2d8 zenon_H2d7 zenon_H1a zenon_H14a zenon_H144 zenon_Hc1 zenon_Hc2 zenon_He0 zenon_H256 zenon_H255 zenon_H254 zenon_Hd3 zenon_H1c1. % 1.33/1.47 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H12c | zenon_intro zenon_H148 ]. % 1.33/1.47 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1be ]. % 1.33/1.47 apply (zenon_L1025_); trivial. % 1.33/1.47 apply (zenon_L338_); trivial. % 1.33/1.47 apply (zenon_L319_); trivial. % 1.33/1.47 (* end of lemma zenon_L1126_ *) % 1.33/1.47 assert (zenon_L1127_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp11)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> (c0_1 (a18)) -> (c2_1 (a18)) -> (~(c3_1 (a18))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (ndr1_0) -> (~(c0_1 (a2))) -> (~(c3_1 (a2))) -> (c2_1 (a2)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> False). % 1.33/1.47 do 0 intro. intros zenon_H17b zenon_H93 zenon_H91 zenon_H1c1 zenon_Hd3 zenon_H254 zenon_H255 zenon_H256 zenon_He0 zenon_Hc2 zenon_Hc1 zenon_H14a zenon_H1a zenon_H2d7 zenon_H2d8 zenon_H2d9 zenon_H1c2 zenon_H167. % 1.33/1.47 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.33/1.47 apply (zenon_L1126_); trivial. % 1.33/1.47 apply (zenon_L153_); trivial. % 1.33/1.47 (* end of lemma zenon_L1127_ *) % 1.33/1.47 assert (zenon_L1128_ : ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp19)) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (~(c2_1 (a6))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> (c2_1 (a2)) -> (~(c3_1 (a2))) -> (~(c0_1 (a2))) -> (ndr1_0) -> (~(c1_1 (a19))) -> (~(c3_1 (a19))) -> (c2_1 (a19)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> False). % 1.33/1.47 do 0 intro. intros zenon_H167 zenon_H14a zenon_H144 zenon_H256 zenon_H255 zenon_H254 zenon_H1c2 zenon_H2d9 zenon_H2d8 zenon_H2d7 zenon_H1a zenon_Hae zenon_Haf zenon_Hb0 zenon_Hd3 zenon_H1c1. % 1.33/1.47 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H12c | zenon_intro zenon_H148 ]. % 1.33/1.47 apply (zenon_L1081_); trivial. % 1.33/1.47 apply (zenon_L319_); trivial. % 1.33/1.47 (* end of lemma zenon_L1128_ *) % 1.33/1.47 assert (zenon_L1129_ : ((ndr1_0)/\((c2_1 (a24))/\((~(c0_1 (a24)))/\(~(c1_1 (a24)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> (c2_1 (a18)) -> (c0_1 (a18)) -> (~(c3_1 (a18))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (c2_1 (a19)) -> (~(c3_1 (a19))) -> (~(c1_1 (a19))) -> (~(c0_1 (a2))) -> (~(c3_1 (a2))) -> (c2_1 (a2)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> False). % 1.33/1.47 do 0 intro. intros zenon_H10d zenon_H17b zenon_H1da zenon_H177 zenon_H95 zenon_H1c6 zenon_Hc2 zenon_He0 zenon_Hc1 zenon_H1c1 zenon_Hd3 zenon_Hb0 zenon_Haf zenon_Hae zenon_H2d7 zenon_H2d8 zenon_H2d9 zenon_H1c2 zenon_H254 zenon_H255 zenon_H256 zenon_H14a zenon_H167. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_H1a. zenon_intro zenon_H10f. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H104. zenon_intro zenon_H110. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_H102. zenon_intro zenon_H103. % 1.33/1.47 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.33/1.47 apply (zenon_L1128_); trivial. % 1.33/1.47 apply (zenon_L313_); trivial. % 1.33/1.47 (* end of lemma zenon_L1129_ *) % 1.33/1.47 assert (zenon_L1130_ : ((ndr1_0)/\((c0_1 (a18))/\((c2_1 (a18))/\(~(c3_1 (a18)))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a19))/\((~(c1_1 (a19)))/\(~(c3_1 (a19))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a24))/\((~(c0_1 (a24)))/\(~(c1_1 (a24))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (c0_1 (a15)) -> (~(hskp2)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((hskp2)\/(hskp14))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> (c2_1 (a2)) -> (~(c3_1 (a2))) -> (~(c0_1 (a2))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (~(c2_1 (a6))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> False). % 1.33/1.47 do 0 intro. intros zenon_H217 zenon_H213 zenon_H112 zenon_H1da zenon_H177 zenon_H95 zenon_H1c6 zenon_H115 zenon_H116 zenon_H117 zenon_Hfe zenon_H113 zenon_H167 zenon_H1c2 zenon_H2d9 zenon_H2d8 zenon_H2d7 zenon_H14a zenon_H256 zenon_H255 zenon_H254 zenon_Hd3 zenon_H1c1 zenon_H93 zenon_H17b. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H1a. zenon_intro zenon_H218. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_He0. zenon_intro zenon_H219. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_Hc2. zenon_intro zenon_Hc1. % 1.33/1.47 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H91 | zenon_intro zenon_He5 ]. % 1.33/1.47 apply (zenon_L1127_); trivial. % 1.33/1.47 apply (zenon_and_s _ _ zenon_He5). zenon_intro zenon_H1a. zenon_intro zenon_He6. % 1.33/1.47 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_Hb0. zenon_intro zenon_He7. % 1.33/1.47 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hae. zenon_intro zenon_Haf. % 1.33/1.47 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_H100 | zenon_intro zenon_H10d ]. % 1.33/1.47 apply (zenon_L74_); trivial. % 1.33/1.47 apply (zenon_L1129_); trivial. % 1.33/1.47 (* end of lemma zenon_L1130_ *) % 1.33/1.47 assert (zenon_L1131_ : ((~(hskp10))\/((ndr1_0)/\((c0_1 (a18))/\((c2_1 (a18))/\(~(c3_1 (a18))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a19))/\((~(c1_1 (a19)))/\(~(c3_1 (a19))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((hskp2)\/(hskp14))) -> (~(hskp2)) -> (c0_1 (a15)) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> (ndr1_0) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((hskp9)\/(hskp24))) -> (~(hskp9)) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (~(c2_1 (a6))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (c2_1 (a2)) -> (~(c3_1 (a2))) -> (~(c0_1 (a2))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a24))/\((~(c0_1 (a24)))/\(~(c1_1 (a24))))))) -> False). % 1.33/1.47 do 0 intro. intros zenon_H212 zenon_H213 zenon_H1da zenon_H1c6 zenon_H167 zenon_H1c2 zenon_H14a zenon_H1c1 zenon_H93 zenon_H17b zenon_H113 zenon_Hfe zenon_H117 zenon_H116 zenon_H115 zenon_H1a zenon_H7b zenon_H3 zenon_H256 zenon_H255 zenon_H254 zenon_H95 zenon_Hd3 zenon_H2d9 zenon_H2d8 zenon_H2d7 zenon_H43 zenon_H177 zenon_H48 zenon_H112. % 1.33/1.47 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H2d | zenon_intro zenon_H217 ]. % 1.33/1.47 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_H100 | zenon_intro zenon_H10d ]. % 1.33/1.47 apply (zenon_L74_); trivial. % 1.33/1.47 apply (zenon_L1125_); trivial. % 1.33/1.47 apply (zenon_L1130_); trivial. % 1.33/1.47 (* end of lemma zenon_L1131_ *) % 1.33/1.47 assert (zenon_L1132_ : ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp19)) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (~(c2_1 (a6))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> (c2_1 (a2)) -> (~(c3_1 (a2))) -> (~(c0_1 (a2))) -> (ndr1_0) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(hskp8)) -> (~(hskp9)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp8)\/(hskp9))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> False). % 1.33/1.47 do 0 intro. intros zenon_H167 zenon_H14a zenon_H144 zenon_H256 zenon_H255 zenon_H254 zenon_H1c2 zenon_H2d9 zenon_H2d8 zenon_H2d7 zenon_H1a zenon_Hd3 zenon_Hb zenon_H3 zenon_H1a3 zenon_H1c1. % 1.33/1.47 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H12c | zenon_intro zenon_H148 ]. % 1.33/1.47 apply (zenon_L1029_); trivial. % 1.33/1.47 apply (zenon_L319_); trivial. % 1.33/1.47 (* end of lemma zenon_L1132_ *) % 1.33/1.47 assert (zenon_L1133_ : ((ndr1_0)/\((c0_1 (a18))/\((c2_1 (a18))/\(~(c3_1 (a18)))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a19))/\((~(c1_1 (a19)))/\(~(c3_1 (a19))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp8)\/(hskp9))) -> (~(hskp9)) -> (~(hskp8)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> (c2_1 (a2)) -> (~(c3_1 (a2))) -> (~(c0_1 (a2))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (~(c2_1 (a6))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> False). % 1.33/1.47 do 0 intro. intros zenon_H217 zenon_H213 zenon_H1da zenon_H1a3 zenon_H3 zenon_Hb zenon_H95 zenon_H1c6 zenon_H167 zenon_H1c2 zenon_H2d9 zenon_H2d8 zenon_H2d7 zenon_H14a zenon_H256 zenon_H255 zenon_H254 zenon_Hd3 zenon_H1c1 zenon_H93 zenon_H17b. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H1a. zenon_intro zenon_H218. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_He0. zenon_intro zenon_H219. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_Hc2. zenon_intro zenon_Hc1. % 1.33/1.47 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H91 | zenon_intro zenon_He5 ]. % 1.33/1.47 apply (zenon_L1127_); trivial. % 1.33/1.47 apply (zenon_and_s _ _ zenon_He5). zenon_intro zenon_H1a. zenon_intro zenon_He6. % 1.33/1.47 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_Hb0. zenon_intro zenon_He7. % 1.33/1.47 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hae. zenon_intro zenon_Haf. % 1.33/1.47 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.33/1.47 apply (zenon_L1126_); trivial. % 1.33/1.47 apply (zenon_L280_); trivial. % 1.33/1.47 (* end of lemma zenon_L1133_ *) % 1.33/1.47 assert (zenon_L1134_ : ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> (c3_1 (a10)) -> (c2_1 (a10)) -> (c0_1 (a10)) -> (ndr1_0) -> (forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))) -> (~(hskp10)) -> False). % 1.33/1.47 do 0 intro. intros zenon_H43 zenon_H235 zenon_H234 zenon_H233 zenon_H1b7 zenon_H1b6 zenon_H1b5 zenon_H1a zenon_H1c zenon_H2d. % 1.33/1.47 apply (zenon_or_s _ _ zenon_H43); [ zenon_intro zenon_H1b | zenon_intro zenon_H47 ]. % 1.33/1.47 apply (zenon_L242_); trivial. % 1.33/1.47 apply (zenon_or_s _ _ zenon_H47); [ zenon_intro zenon_H31 | zenon_intro zenon_H2e ]. % 1.33/1.47 apply (zenon_L399_); trivial. % 1.33/1.47 exact (zenon_H2d zenon_H2e). % 1.33/1.47 (* end of lemma zenon_L1134_ *) % 1.33/1.47 assert (zenon_L1135_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> (~(c0_1 (a24))) -> (~(c1_1 (a24))) -> (c2_1 (a24)) -> (~(hskp10)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (ndr1_0) -> (~(c0_1 (a2))) -> (~(c3_1 (a2))) -> (c2_1 (a2)) -> (~(hskp25)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> False). % 1.33/1.47 do 0 intro. intros zenon_H1c1 zenon_H177 zenon_Hd3 zenon_H233 zenon_H234 zenon_H235 zenon_H102 zenon_H103 zenon_H104 zenon_H2d zenon_H43 zenon_H1a zenon_H2d7 zenon_H2d8 zenon_H2d9 zenon_H12c zenon_H1c2. % 1.33/1.47 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1be ]. % 1.33/1.47 apply (zenon_L1025_); trivial. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H1a. zenon_intro zenon_H1bf. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H1bf). zenon_intro zenon_H1b5. zenon_intro zenon_H1c0. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H1c0). zenon_intro zenon_H1b6. zenon_intro zenon_H1b7. % 1.33/1.47 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hd6 ]. % 1.33/1.47 apply (zenon_L454_); trivial. % 1.33/1.47 apply (zenon_L1027_); trivial. % 1.33/1.47 (* end of lemma zenon_L1135_ *) % 1.33/1.47 assert (zenon_L1136_ : ((ndr1_0)/\((c2_1 (a24))/\((~(c0_1 (a24)))/\(~(c1_1 (a24)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> (~(hskp10)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(c0_1 (a2))) -> (~(c3_1 (a2))) -> (c2_1 (a2)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> False). % 1.33/1.47 do 0 intro. intros zenon_H10d zenon_H17b zenon_H1c1 zenon_H177 zenon_Hd3 zenon_H233 zenon_H234 zenon_H235 zenon_H2d zenon_H43 zenon_H2d7 zenon_H2d8 zenon_H2d9 zenon_H1c2 zenon_H254 zenon_H255 zenon_H256 zenon_H14a zenon_H167. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_H1a. zenon_intro zenon_H10f. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H104. zenon_intro zenon_H110. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_H102. zenon_intro zenon_H103. % 1.33/1.47 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.33/1.47 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H12c | zenon_intro zenon_H148 ]. % 1.33/1.47 apply (zenon_L1135_); trivial. % 1.33/1.47 apply (zenon_L319_); trivial. % 1.33/1.47 apply (zenon_L459_); trivial. % 1.33/1.47 (* end of lemma zenon_L1136_ *) % 1.33/1.47 assert (zenon_L1137_ : ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> (~(c2_1 (a16))) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> (~(hskp2)) -> (~(hskp14)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((hskp2)\/(hskp14))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> (c2_1 (a2)) -> (~(c3_1 (a2))) -> (~(c0_1 (a2))) -> (ndr1_0) -> (~(c1_1 (a19))) -> (~(c3_1 (a19))) -> (c2_1 (a19)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> False). % 1.33/1.47 do 0 intro. intros zenon_H167 zenon_H1f0 zenon_He9 zenon_Hea zenon_Heb zenon_Hfe zenon_H100 zenon_H113 zenon_H1c2 zenon_H2d9 zenon_H2d8 zenon_H2d7 zenon_H1a zenon_Hae zenon_Haf zenon_Hb0 zenon_Hd3 zenon_H1c1. % 1.33/1.47 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H12c | zenon_intro zenon_H148 ]. % 1.33/1.47 apply (zenon_L1081_); trivial. % 1.33/1.47 apply (zenon_L1040_); trivial. % 1.33/1.47 (* end of lemma zenon_L1137_ *) % 1.33/1.47 assert (zenon_L1138_ : ((ndr1_0)/\((c0_1 (a18))/\((c2_1 (a18))/\(~(c3_1 (a18)))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a19))/\((~(c1_1 (a19)))/\(~(c3_1 (a19))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a24))/\((~(c0_1 (a24)))/\(~(c1_1 (a24))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((hskp2)\/(hskp14))) -> (~(hskp2)) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (~(c2_1 (a16))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> (c2_1 (a2)) -> (~(c3_1 (a2))) -> (~(c0_1 (a2))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (~(c2_1 (a6))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> False). % 1.33/1.48 do 0 intro. intros zenon_H217 zenon_H213 zenon_H112 zenon_H1da zenon_H177 zenon_H95 zenon_H1c6 zenon_H113 zenon_Hfe zenon_Heb zenon_Hea zenon_He9 zenon_H1f0 zenon_H167 zenon_H1c2 zenon_H2d9 zenon_H2d8 zenon_H2d7 zenon_H14a zenon_H256 zenon_H255 zenon_H254 zenon_Hd3 zenon_H1c1 zenon_H93 zenon_H17b. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H1a. zenon_intro zenon_H218. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_He0. zenon_intro zenon_H219. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_Hc2. zenon_intro zenon_Hc1. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H91 | zenon_intro zenon_He5 ]. % 1.33/1.48 apply (zenon_L1127_); trivial. % 1.33/1.48 apply (zenon_and_s _ _ zenon_He5). zenon_intro zenon_H1a. zenon_intro zenon_He6. % 1.33/1.48 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_Hb0. zenon_intro zenon_He7. % 1.33/1.48 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hae. zenon_intro zenon_Haf. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_H100 | zenon_intro zenon_H10d ]. % 1.33/1.48 apply (zenon_L1137_); trivial. % 1.33/1.48 apply (zenon_L1129_); trivial. % 1.33/1.48 (* end of lemma zenon_L1138_ *) % 1.33/1.48 assert (zenon_L1139_ : ((ndr1_0)/\((c1_1 (a7))/\((c3_1 (a7))/\(~(c0_1 (a7)))))) -> ((~(hskp8))\/((ndr1_0)/\((c0_1 (a15))/\((~(c1_1 (a15)))/\(~(c2_1 (a15))))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a18))/\((c2_1 (a18))/\(~(c3_1 (a18))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a19))/\((~(c1_1 (a19)))/\(~(c3_1 (a19))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (~(c2_1 (a6))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> (c2_1 (a2)) -> (~(c3_1 (a2))) -> (~(c0_1 (a2))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp8)\/(hskp9))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a24))/\((~(c0_1 (a24)))/\(~(c1_1 (a24))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> (~(hskp2)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((hskp2)\/(hskp14))) -> ((~(hskp9))\/((ndr1_0)/\((c0_1 (a16))/\((~(c2_1 (a16)))/\(~(c3_1 (a16))))))) -> False). % 1.33/1.48 do 0 intro. intros zenon_H2f5 zenon_H211 zenon_H212 zenon_H213 zenon_H1da zenon_H95 zenon_H1c6 zenon_H93 zenon_H167 zenon_H14a zenon_H256 zenon_H255 zenon_H254 zenon_H1c2 zenon_H2d9 zenon_H2d8 zenon_H2d7 zenon_Hd3 zenon_H1a3 zenon_H1c1 zenon_H43 zenon_H17b zenon_H112 zenon_H177 zenon_H1f0 zenon_Hfe zenon_H113 zenon_H215. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H2f5). zenon_intro zenon_H1a. zenon_intro zenon_H2f6. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H2f6). zenon_intro zenon_H234. zenon_intro zenon_H2f7. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H2f7). zenon_intro zenon_H235. zenon_intro zenon_H233. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_Hb | zenon_intro zenon_H20e ]. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H3 | zenon_intro zenon_H216 ]. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H2d | zenon_intro zenon_H217 ]. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.33/1.48 apply (zenon_L1132_); trivial. % 1.33/1.48 apply (zenon_L441_); trivial. % 1.33/1.48 apply (zenon_L1133_); trivial. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_H1a. zenon_intro zenon_H21a. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_Heb. zenon_intro zenon_H21b. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_He9. zenon_intro zenon_Hea. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H2d | zenon_intro zenon_H217 ]. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_H100 | zenon_intro zenon_H10d ]. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H12c | zenon_intro zenon_H148 ]. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1be ]. % 1.33/1.48 apply (zenon_L1025_); trivial. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H1a. zenon_intro zenon_H1bf. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H1bf). zenon_intro zenon_H1b5. zenon_intro zenon_H1c0. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H1c0). zenon_intro zenon_H1b6. zenon_intro zenon_H1b7. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H1ab | zenon_intro zenon_H1f1 ]. % 1.33/1.48 apply (zenon_L1024_); trivial. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H1c ]. % 1.33/1.48 apply (zenon_L163_); trivial. % 1.33/1.48 apply (zenon_L1134_); trivial. % 1.33/1.48 apply (zenon_L1040_); trivial. % 1.33/1.48 apply (zenon_L1136_); trivial. % 1.33/1.48 apply (zenon_L1138_); trivial. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H20e). zenon_intro zenon_H1a. zenon_intro zenon_H20f. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H20f). zenon_intro zenon_H117. zenon_intro zenon_H210. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H210). zenon_intro zenon_H115. zenon_intro zenon_H116. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H2d | zenon_intro zenon_H217 ]. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_H100 | zenon_intro zenon_H10d ]. % 1.33/1.48 apply (zenon_L74_); trivial. % 1.33/1.48 apply (zenon_L1136_); trivial. % 1.33/1.48 apply (zenon_L1130_); trivial. % 1.33/1.48 (* end of lemma zenon_L1139_ *) % 1.33/1.48 assert (zenon_L1140_ : ((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> (c2_1 (a2)) -> (~(c3_1 (a2))) -> (~(c0_1 (a2))) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> False). % 1.33/1.48 do 0 intro. intros zenon_H148 zenon_H1f0 zenon_H2d9 zenon_H2d8 zenon_H2d7 zenon_H2c2 zenon_H2ba zenon_H2b9. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H1a. zenon_intro zenon_H14b. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H13b. zenon_intro zenon_H14c. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H14c). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H1ab | zenon_intro zenon_H1f1 ]. % 1.33/1.48 apply (zenon_L1024_); trivial. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H1c ]. % 1.33/1.48 apply (zenon_L687_); trivial. % 1.33/1.48 apply (zenon_L83_); trivial. % 1.33/1.48 (* end of lemma zenon_L1140_ *) % 1.33/1.48 assert (zenon_L1141_ : ((ndr1_0)/\((c0_1 (a16))/\((~(c2_1 (a16)))/\(~(c3_1 (a16)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> (c2_1 (a2)) -> (~(c3_1 (a2))) -> (~(c0_1 (a2))) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> False). % 1.33/1.48 do 0 intro. intros zenon_H216 zenon_H167 zenon_H1f0 zenon_H1c2 zenon_H2d9 zenon_H2d8 zenon_H2d7 zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_Hfc zenon_H1c1. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_H1a. zenon_intro zenon_H21a. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_Heb. zenon_intro zenon_H21b. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_He9. zenon_intro zenon_Hea. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H12c | zenon_intro zenon_H148 ]. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1be ]. % 1.33/1.48 apply (zenon_L1025_); trivial. % 1.33/1.48 apply (zenon_L696_); trivial. % 1.33/1.48 apply (zenon_L1140_); trivial. % 1.33/1.48 (* end of lemma zenon_L1141_ *) % 1.33/1.48 assert (zenon_L1142_ : ((~(hskp9))\/((ndr1_0)/\((c0_1 (a16))/\((~(c2_1 (a16)))/\(~(c3_1 (a16))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp8)\/(hskp9))) -> (~(hskp8)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (ndr1_0) -> (~(c0_1 (a2))) -> (~(c3_1 (a2))) -> (c2_1 (a2)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> False). % 1.33/1.48 do 0 intro. intros zenon_H215 zenon_Hfc zenon_H1c1 zenon_H1a3 zenon_Hb zenon_Hd3 zenon_H1a zenon_H2d7 zenon_H2d8 zenon_H2d9 zenon_H1c2 zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_H1f0 zenon_H167. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H3 | zenon_intro zenon_H216 ]. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H12c | zenon_intro zenon_H148 ]. % 1.33/1.48 apply (zenon_L1029_); trivial. % 1.33/1.48 apply (zenon_L1140_); trivial. % 1.33/1.48 apply (zenon_L1141_); trivial. % 1.33/1.48 (* end of lemma zenon_L1142_ *) % 1.33/1.48 assert (zenon_L1143_ : ((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> (c2_1 (a2)) -> (~(c3_1 (a2))) -> (~(c0_1 (a2))) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> False). % 1.33/1.48 do 0 intro. intros zenon_H41 zenon_H167 zenon_H1c2 zenon_H2d9 zenon_H2d8 zenon_H2d7 zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_H43 zenon_H2d zenon_H1f0 zenon_H1c1. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H1a. zenon_intro zenon_H44. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H1d. zenon_intro zenon_H45. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H1e. zenon_intro zenon_H1f. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H12c | zenon_intro zenon_H148 ]. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1be ]. % 1.33/1.48 apply (zenon_L1025_); trivial. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H1a. zenon_intro zenon_H1bf. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H1bf). zenon_intro zenon_H1b5. zenon_intro zenon_H1c0. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H1c0). zenon_intro zenon_H1b6. zenon_intro zenon_H1b7. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H1ab | zenon_intro zenon_H1f1 ]. % 1.33/1.48 apply (zenon_L1024_); trivial. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H1c ]. % 1.33/1.48 apply (zenon_L687_); trivial. % 1.33/1.48 apply (zenon_L400_); trivial. % 1.33/1.48 apply (zenon_L1140_); trivial. % 1.33/1.48 (* end of lemma zenon_L1143_ *) % 1.33/1.48 assert (zenon_L1144_ : ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (c3_1 (a10)) -> (c2_1 (a10)) -> (c0_1 (a10)) -> (~(c3_1 (a18))) -> (c2_1 (a18)) -> (c0_1 (a18)) -> (forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))) -> (ndr1_0) -> False). % 1.33/1.48 do 0 intro. intros zenon_Hd3 zenon_H1b7 zenon_H1b6 zenon_H1b5 zenon_Hc1 zenon_Hc2 zenon_He0 zenon_H1c zenon_H1a. % 1.33/1.48 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_Had | zenon_intro zenon_Hcd ]. % 1.33/1.48 apply (zenon_L207_); trivial. % 1.33/1.48 apply (zenon_L133_); trivial. % 1.33/1.48 (* end of lemma zenon_L1144_ *) % 1.33/1.48 assert (zenon_L1145_ : ((ndr1_0)/\((c0_1 (a18))/\((c2_1 (a18))/\(~(c3_1 (a18)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> (c2_1 (a2)) -> (~(c3_1 (a2))) -> (~(c0_1 (a2))) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> False). % 1.33/1.48 do 0 intro. intros zenon_H217 zenon_H167 zenon_H1c2 zenon_H2d9 zenon_H2d8 zenon_H2d7 zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_Hd3 zenon_H1f0 zenon_H1c1. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H1a. zenon_intro zenon_H218. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_He0. zenon_intro zenon_H219. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_Hc2. zenon_intro zenon_Hc1. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H12c | zenon_intro zenon_H148 ]. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1be ]. % 1.33/1.48 apply (zenon_L1025_); trivial. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H1a. zenon_intro zenon_H1bf. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H1bf). zenon_intro zenon_H1b5. zenon_intro zenon_H1c0. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H1c0). zenon_intro zenon_H1b6. zenon_intro zenon_H1b7. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H1ab | zenon_intro zenon_H1f1 ]. % 1.33/1.48 apply (zenon_L1024_); trivial. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H1c ]. % 1.33/1.48 apply (zenon_L687_); trivial. % 1.33/1.48 apply (zenon_L1144_); trivial. % 1.33/1.48 apply (zenon_L1140_); trivial. % 1.33/1.48 (* end of lemma zenon_L1145_ *) % 1.33/1.48 assert (zenon_L1146_ : ((ndr1_0)/\((c1_1 (a6))/\((c3_1 (a6))/\(~(c2_1 (a6)))))) -> ((~(hskp9))\/((ndr1_0)/\((c0_1 (a16))/\((~(c2_1 (a16)))/\(~(c3_1 (a16))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> (c2_1 (a2)) -> (~(c3_1 (a2))) -> (~(c0_1 (a2))) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((hskp9)\/(hskp24))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a18))/\((c2_1 (a18))/\(~(c3_1 (a18))))))) -> False). % 1.33/1.48 do 0 intro. intros zenon_H2f8 zenon_H215 zenon_Hfc zenon_H48 zenon_H167 zenon_H1c2 zenon_H2d9 zenon_H2d8 zenon_H2d7 zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_H43 zenon_H1f0 zenon_H1c1 zenon_H7b zenon_Hd3 zenon_H212. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H2f8). zenon_intro zenon_H1a. zenon_intro zenon_H2f9. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H2f9). zenon_intro zenon_H255. zenon_intro zenon_H2fa. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H2fa). zenon_intro zenon_H256. zenon_intro zenon_H254. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H3 | zenon_intro zenon_H216 ]. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H2d | zenon_intro zenon_H217 ]. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H11 | zenon_intro zenon_H41 ]. % 1.33/1.48 apply (zenon_L329_); trivial. % 1.33/1.48 apply (zenon_L1143_); trivial. % 1.33/1.48 apply (zenon_L1145_); trivial. % 1.33/1.48 apply (zenon_L1141_); trivial. % 1.33/1.48 (* end of lemma zenon_L1146_ *) % 1.33/1.48 assert (zenon_L1147_ : (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (ndr1_0) -> (~(c0_1 (a1))) -> (~(c1_1 (a1))) -> (~(c2_1 (a1))) -> False). % 1.33/1.48 do 0 intro. intros zenon_H4b zenon_H1a zenon_H2fb zenon_H2fc zenon_H2fd. % 1.33/1.48 generalize (zenon_H4b (a1)). zenon_intro zenon_H2fe. % 1.33/1.48 apply (zenon_imply_s _ _ zenon_H2fe); [ zenon_intro zenon_H19 | zenon_intro zenon_H2ff ]. % 1.33/1.48 exact (zenon_H19 zenon_H1a). % 1.33/1.48 apply (zenon_or_s _ _ zenon_H2ff); [ zenon_intro zenon_H301 | zenon_intro zenon_H300 ]. % 1.33/1.48 exact (zenon_H2fb zenon_H301). % 1.33/1.48 apply (zenon_or_s _ _ zenon_H300); [ zenon_intro zenon_H303 | zenon_intro zenon_H302 ]. % 1.33/1.48 exact (zenon_H2fc zenon_H303). % 1.33/1.48 exact (zenon_H2fd zenon_H302). % 1.33/1.48 (* end of lemma zenon_L1147_ *) % 1.33/1.48 assert (zenon_L1148_ : (forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32)))))) -> (ndr1_0) -> (~(c0_1 (a1))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c2_1 (a1))) -> (c3_1 (a1)) -> False). % 1.33/1.48 do 0 intro. intros zenon_H1b zenon_H1a zenon_H2fb zenon_H4b zenon_H2fd zenon_H304. % 1.33/1.48 generalize (zenon_H1b (a1)). zenon_intro zenon_H305. % 1.33/1.48 apply (zenon_imply_s _ _ zenon_H305); [ zenon_intro zenon_H19 | zenon_intro zenon_H306 ]. % 1.33/1.48 exact (zenon_H19 zenon_H1a). % 1.33/1.48 apply (zenon_or_s _ _ zenon_H306); [ zenon_intro zenon_H301 | zenon_intro zenon_H307 ]. % 1.33/1.48 exact (zenon_H2fb zenon_H301). % 1.33/1.48 apply (zenon_or_s _ _ zenon_H307); [ zenon_intro zenon_H2fc | zenon_intro zenon_H308 ]. % 1.33/1.48 apply (zenon_L1147_); trivial. % 1.33/1.48 exact (zenon_H308 zenon_H304). % 1.33/1.48 (* end of lemma zenon_L1148_ *) % 1.33/1.48 assert (zenon_L1149_ : ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (c3_1 (a1)) -> (~(c2_1 (a1))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c0_1 (a1))) -> (c0_1 (a31)) -> (c2_1 (a31)) -> (~(c1_1 (a31))) -> (ndr1_0) -> (forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10)))))) -> (~(hskp10)) -> False). % 1.33/1.48 do 0 intro. intros zenon_H43 zenon_H304 zenon_H2fd zenon_H4b zenon_H2fb zenon_H3c zenon_H33 zenon_H32 zenon_H1a zenon_H3b zenon_H2d. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H43); [ zenon_intro zenon_H1b | zenon_intro zenon_H47 ]. % 1.33/1.48 apply (zenon_L1148_); trivial. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H47); [ zenon_intro zenon_H31 | zenon_intro zenon_H2e ]. % 1.33/1.48 apply (zenon_L19_); trivial. % 1.33/1.48 exact (zenon_H2d zenon_H2e). % 1.33/1.48 (* end of lemma zenon_L1149_ *) % 1.33/1.48 assert (zenon_L1150_ : (forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))) -> (ndr1_0) -> (~(c2_1 (a1))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c0_1 (a1))) -> (c3_1 (a1)) -> False). % 1.33/1.48 do 0 intro. intros zenon_H6d zenon_H1a zenon_H2fd zenon_H4b zenon_H2fb zenon_H304. % 1.33/1.48 generalize (zenon_H6d (a1)). zenon_intro zenon_H309. % 1.33/1.48 apply (zenon_imply_s _ _ zenon_H309); [ zenon_intro zenon_H19 | zenon_intro zenon_H30a ]. % 1.33/1.48 exact (zenon_H19 zenon_H1a). % 1.33/1.48 apply (zenon_or_s _ _ zenon_H30a); [ zenon_intro zenon_H302 | zenon_intro zenon_H307 ]. % 1.33/1.48 exact (zenon_H2fd zenon_H302). % 1.33/1.48 apply (zenon_or_s _ _ zenon_H307); [ zenon_intro zenon_H2fc | zenon_intro zenon_H308 ]. % 1.33/1.48 apply (zenon_L1147_); trivial. % 1.33/1.48 exact (zenon_H308 zenon_H304). % 1.33/1.48 (* end of lemma zenon_L1150_ *) % 1.33/1.48 assert (zenon_L1151_ : (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c3_1 W)))))) -> (ndr1_0) -> (~(c0_1 (a1))) -> (~(c2_1 (a1))) -> (c3_1 (a1)) -> False). % 1.33/1.48 do 0 intro. intros zenon_H69 zenon_H1a zenon_H2fb zenon_H2fd zenon_H304. % 1.33/1.48 generalize (zenon_H69 (a1)). zenon_intro zenon_H30b. % 1.33/1.48 apply (zenon_imply_s _ _ zenon_H30b); [ zenon_intro zenon_H19 | zenon_intro zenon_H30c ]. % 1.33/1.48 exact (zenon_H19 zenon_H1a). % 1.33/1.48 apply (zenon_or_s _ _ zenon_H30c); [ zenon_intro zenon_H301 | zenon_intro zenon_H30d ]. % 1.33/1.48 exact (zenon_H2fb zenon_H301). % 1.33/1.48 apply (zenon_or_s _ _ zenon_H30d); [ zenon_intro zenon_H302 | zenon_intro zenon_H308 ]. % 1.33/1.48 exact (zenon_H2fd zenon_H302). % 1.33/1.48 exact (zenon_H308 zenon_H304). % 1.33/1.48 (* end of lemma zenon_L1151_ *) % 1.33/1.48 assert (zenon_L1152_ : ((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c3_1 W)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp10)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> (~(c3_1 (a22))) -> (~(c2_1 (a22))) -> (~(c0_1 (a22))) -> (~(c0_1 (a1))) -> (~(c2_1 (a1))) -> (c3_1 (a1)) -> False). % 1.33/1.48 do 0 intro. intros zenon_H9e zenon_H277 zenon_H43 zenon_H2d zenon_H1ee zenon_H81 zenon_H89 zenon_H80 zenon_H2fb zenon_H2fd zenon_H304. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.33/1.48 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H4b | zenon_intro zenon_H278 ]. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H1ee); [ zenon_intro zenon_H1e7 | zenon_intro zenon_H1ef ]. % 1.33/1.48 apply (zenon_L221_); trivial. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H3b | zenon_intro zenon_H6d ]. % 1.33/1.48 apply (zenon_L1149_); trivial. % 1.33/1.48 apply (zenon_L1150_); trivial. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H1e7 | zenon_intro zenon_H69 ]. % 1.33/1.48 apply (zenon_L221_); trivial. % 1.33/1.48 apply (zenon_L1151_); trivial. % 1.33/1.48 (* end of lemma zenon_L1152_ *) % 1.33/1.48 assert (zenon_L1153_ : ((ndr1_0)/\((~(c0_1 (a22)))/\((~(c2_1 (a22)))/\(~(c3_1 (a22)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c3_1 W)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp10)) -> (c3_1 (a1)) -> (~(c2_1 (a1))) -> (~(c0_1 (a1))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> (~(hskp8)) -> (~(hskp4)) -> ((hskp17)\/((hskp8)\/(hskp4))) -> False). % 1.33/1.48 do 0 intro. intros zenon_H284 zenon_H9c zenon_H277 zenon_H43 zenon_H2d zenon_H304 zenon_H2fd zenon_H2fb zenon_H1ee zenon_Hb zenon_Hd zenon_Hf. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H284). zenon_intro zenon_H1a. zenon_intro zenon_H285. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_H80. zenon_intro zenon_H286. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H286). zenon_intro zenon_H89. zenon_intro zenon_H81. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.33/1.48 apply (zenon_L8_); trivial. % 1.33/1.48 apply (zenon_L1152_); trivial. % 1.33/1.48 (* end of lemma zenon_L1153_ *) % 1.33/1.48 assert (zenon_L1154_ : ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c3_1 (a1)) -> (~(c0_1 (a1))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c2_1 (a1))) -> (~(c3_1 (a18))) -> (c2_1 (a18)) -> (c0_1 (a18)) -> (ndr1_0) -> (forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44)))))) -> (~(hskp19)) -> False). % 1.33/1.48 do 0 intro. intros zenon_H14a zenon_H304 zenon_H2fb zenon_H4b zenon_H2fd zenon_Hc1 zenon_Hc2 zenon_He0 zenon_H1a zenon_Had zenon_H144. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_H6d | zenon_intro zenon_H14e ]. % 1.33/1.48 apply (zenon_L1150_); trivial. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H1c | zenon_intro zenon_H145 ]. % 1.33/1.48 apply (zenon_L207_); trivial. % 1.33/1.48 exact (zenon_H144 zenon_H145). % 1.33/1.48 (* end of lemma zenon_L1154_ *) % 1.33/1.48 assert (zenon_L1155_ : ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (c2_1 (a31)) -> (c0_1 (a31)) -> (~(c1_1 (a31))) -> (forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10)))))) -> (ndr1_0) -> (~(c2_1 (a1))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c0_1 (a1))) -> (c3_1 (a1)) -> (c0_1 (a18)) -> (c2_1 (a18)) -> (~(c3_1 (a18))) -> (~(hskp19)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> False). % 1.33/1.48 do 0 intro. intros zenon_Hd3 zenon_H33 zenon_H3c zenon_H32 zenon_H3b zenon_H1a zenon_H2fd zenon_H4b zenon_H2fb zenon_H304 zenon_He0 zenon_Hc2 zenon_Hc1 zenon_H144 zenon_H14a. % 1.33/1.48 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_Had | zenon_intro zenon_Hcd ]. % 1.33/1.48 apply (zenon_L1154_); trivial. % 1.33/1.48 apply (zenon_L155_); trivial. % 1.33/1.48 (* end of lemma zenon_L1155_ *) % 1.33/1.48 assert (zenon_L1156_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c3_1 W)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (c2_1 (a31)) -> (c0_1 (a31)) -> (~(c1_1 (a31))) -> (c0_1 (a18)) -> (c2_1 (a18)) -> (~(c3_1 (a18))) -> (~(hskp19)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> (~(c3_1 (a22))) -> (~(c2_1 (a22))) -> (~(c0_1 (a22))) -> (ndr1_0) -> (~(c0_1 (a1))) -> (~(c2_1 (a1))) -> (c3_1 (a1)) -> False). % 1.33/1.48 do 0 intro. intros zenon_H277 zenon_Hd3 zenon_H33 zenon_H3c zenon_H32 zenon_He0 zenon_Hc2 zenon_Hc1 zenon_H144 zenon_H14a zenon_H1ee zenon_H81 zenon_H89 zenon_H80 zenon_H1a zenon_H2fb zenon_H2fd zenon_H304. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H4b | zenon_intro zenon_H278 ]. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H1ee); [ zenon_intro zenon_H1e7 | zenon_intro zenon_H1ef ]. % 1.33/1.48 apply (zenon_L221_); trivial. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H3b | zenon_intro zenon_H6d ]. % 1.33/1.48 apply (zenon_L1155_); trivial. % 1.33/1.48 apply (zenon_L1150_); trivial. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H1e7 | zenon_intro zenon_H69 ]. % 1.33/1.48 apply (zenon_L221_); trivial. % 1.33/1.48 apply (zenon_L1151_); trivial. % 1.33/1.48 (* end of lemma zenon_L1156_ *) % 1.33/1.48 assert (zenon_L1157_ : ((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp11)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(c3_1 (a18))) -> (c2_1 (a18)) -> (c0_1 (a18)) -> (c3_1 (a1)) -> (~(c0_1 (a1))) -> (~(c2_1 (a1))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(c3_1 (a22))) -> (~(c2_1 (a22))) -> (~(c0_1 (a22))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c3_1 W)))))))) -> False). % 1.33/1.48 do 0 intro. intros zenon_H9e zenon_H17b zenon_H93 zenon_H91 zenon_H1ee zenon_H14a zenon_Hc1 zenon_Hc2 zenon_He0 zenon_H304 zenon_H2fb zenon_H2fd zenon_Hd3 zenon_H81 zenon_H89 zenon_H80 zenon_H277. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.33/1.48 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.33/1.48 apply (zenon_L1156_); trivial. % 1.33/1.48 apply (zenon_L153_); trivial. % 1.33/1.48 (* end of lemma zenon_L1157_ *) % 1.33/1.48 assert (zenon_L1158_ : ((~(hskp13))\/((ndr1_0)/\((~(c0_1 (a22)))/\((~(c2_1 (a22)))/\(~(c3_1 (a22))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp11)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(c3_1 (a18))) -> (c2_1 (a18)) -> (c0_1 (a18)) -> (c3_1 (a1)) -> (~(c0_1 (a1))) -> (~(c2_1 (a1))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c3_1 W)))))))) -> (~(hskp8)) -> (~(hskp4)) -> ((hskp17)\/((hskp8)\/(hskp4))) -> (~(hskp7)) -> (~(hskp9)) -> ((hskp7)\/((hskp9)\/(hskp13))) -> False). % 1.33/1.48 do 0 intro. intros zenon_H287 zenon_H9c zenon_H17b zenon_H93 zenon_H91 zenon_H1ee zenon_H14a zenon_Hc1 zenon_Hc2 zenon_He0 zenon_H304 zenon_H2fb zenon_H2fd zenon_Hd3 zenon_H277 zenon_Hb zenon_Hd zenon_Hf zenon_H1 zenon_H3 zenon_H7. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H5 | zenon_intro zenon_H284 ]. % 1.33/1.48 apply (zenon_L4_); trivial. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H284). zenon_intro zenon_H1a. zenon_intro zenon_H285. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_H80. zenon_intro zenon_H286. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H286). zenon_intro zenon_H89. zenon_intro zenon_H81. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.33/1.48 apply (zenon_L8_); trivial. % 1.33/1.48 apply (zenon_L1157_); trivial. % 1.33/1.48 (* end of lemma zenon_L1158_ *) % 1.33/1.48 assert (zenon_L1159_ : (forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13)))))) -> (ndr1_0) -> (~(c0_1 (a1))) -> (~(c1_1 (a1))) -> (c3_1 (a1)) -> False). % 1.33/1.48 do 0 intro. intros zenon_H1a5 zenon_H1a zenon_H2fb zenon_H2fc zenon_H304. % 1.33/1.48 generalize (zenon_H1a5 (a1)). zenon_intro zenon_H30e. % 1.33/1.48 apply (zenon_imply_s _ _ zenon_H30e); [ zenon_intro zenon_H19 | zenon_intro zenon_H30f ]. % 1.33/1.48 exact (zenon_H19 zenon_H1a). % 1.33/1.48 apply (zenon_or_s _ _ zenon_H30f); [ zenon_intro zenon_H301 | zenon_intro zenon_H310 ]. % 1.33/1.48 exact (zenon_H2fb zenon_H301). % 1.33/1.48 apply (zenon_or_s _ _ zenon_H310); [ zenon_intro zenon_H303 | zenon_intro zenon_H308 ]. % 1.33/1.48 exact (zenon_H2fc zenon_H303). % 1.33/1.48 exact (zenon_H308 zenon_H304). % 1.33/1.48 (* end of lemma zenon_L1159_ *) % 1.33/1.48 assert (zenon_L1160_ : (forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32)))))) -> (ndr1_0) -> (~(c0_1 (a1))) -> (forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13)))))) -> (c3_1 (a1)) -> False). % 1.33/1.48 do 0 intro. intros zenon_H1b zenon_H1a zenon_H2fb zenon_H1a5 zenon_H304. % 1.33/1.48 generalize (zenon_H1b (a1)). zenon_intro zenon_H305. % 1.33/1.48 apply (zenon_imply_s _ _ zenon_H305); [ zenon_intro zenon_H19 | zenon_intro zenon_H306 ]. % 1.33/1.48 exact (zenon_H19 zenon_H1a). % 1.33/1.48 apply (zenon_or_s _ _ zenon_H306); [ zenon_intro zenon_H301 | zenon_intro zenon_H307 ]. % 1.33/1.48 exact (zenon_H2fb zenon_H301). % 1.33/1.48 apply (zenon_or_s _ _ zenon_H307); [ zenon_intro zenon_H2fc | zenon_intro zenon_H308 ]. % 1.33/1.48 apply (zenon_L1159_); trivial. % 1.33/1.48 exact (zenon_H308 zenon_H304). % 1.33/1.48 (* end of lemma zenon_L1160_ *) % 1.33/1.48 assert (zenon_L1161_ : ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (c3_1 (a1)) -> (forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13)))))) -> (~(c0_1 (a1))) -> (c0_1 (a31)) -> (c2_1 (a31)) -> (~(c1_1 (a31))) -> (ndr1_0) -> (forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10)))))) -> (~(hskp10)) -> False). % 1.33/1.48 do 0 intro. intros zenon_H43 zenon_H304 zenon_H1a5 zenon_H2fb zenon_H3c zenon_H33 zenon_H32 zenon_H1a zenon_H3b zenon_H2d. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H43); [ zenon_intro zenon_H1b | zenon_intro zenon_H47 ]. % 1.33/1.48 apply (zenon_L1160_); trivial. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H47); [ zenon_intro zenon_H31 | zenon_intro zenon_H2e ]. % 1.33/1.48 apply (zenon_L19_); trivial. % 1.33/1.48 exact (zenon_H2d zenon_H2e). % 1.33/1.48 (* end of lemma zenon_L1161_ *) % 1.33/1.48 assert (zenon_L1162_ : ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> (~(hskp10)) -> (ndr1_0) -> (~(c1_1 (a31))) -> (c2_1 (a31)) -> (c0_1 (a31)) -> (~(c0_1 (a1))) -> (forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13)))))) -> (c3_1 (a1)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp4)) -> False). % 1.33/1.48 do 0 intro. intros zenon_H42 zenon_H2d zenon_H1a zenon_H32 zenon_H33 zenon_H3c zenon_H2fb zenon_H1a5 zenon_H304 zenon_H43 zenon_Hd. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H1b | zenon_intro zenon_H46 ]. % 1.33/1.48 apply (zenon_L1160_); trivial. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_He ]. % 1.33/1.48 apply (zenon_L1161_); trivial. % 1.33/1.48 exact (zenon_Hd zenon_He). % 1.33/1.48 (* end of lemma zenon_L1162_ *) % 1.33/1.48 assert (zenon_L1163_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c3_1 W)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (c2_1 (a31)) -> (c0_1 (a31)) -> (~(c1_1 (a31))) -> (c0_1 (a18)) -> (c2_1 (a18)) -> (~(c3_1 (a18))) -> (~(hskp19)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> (~(hskp26)) -> (~(hskp25)) -> (~(c0_1 (a37))) -> (~(c3_1 (a37))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> (ndr1_0) -> (~(c0_1 (a1))) -> (~(c2_1 (a1))) -> (c3_1 (a1)) -> False). % 1.33/1.48 do 0 intro. intros zenon_H277 zenon_Hd3 zenon_H33 zenon_H3c zenon_H32 zenon_He0 zenon_Hc2 zenon_Hc1 zenon_H144 zenon_H14a zenon_H1ee zenon_H1b3 zenon_H12c zenon_H1ce zenon_H1cf zenon_H1c2 zenon_H1a zenon_H2fb zenon_H2fd zenon_H304. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H4b | zenon_intro zenon_H278 ]. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H1ee); [ zenon_intro zenon_H1e7 | zenon_intro zenon_H1ef ]. % 1.33/1.48 apply (zenon_L167_); trivial. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H3b | zenon_intro zenon_H6d ]. % 1.33/1.48 apply (zenon_L1155_); trivial. % 1.33/1.48 apply (zenon_L1150_); trivial. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H1e7 | zenon_intro zenon_H69 ]. % 1.33/1.48 apply (zenon_L167_); trivial. % 1.33/1.48 apply (zenon_L1151_); trivial. % 1.33/1.48 (* end of lemma zenon_L1163_ *) % 1.33/1.48 assert (zenon_L1164_ : (forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))) -> (ndr1_0) -> (~(c2_1 (a1))) -> (forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13)))))) -> (~(c0_1 (a1))) -> (c3_1 (a1)) -> False). % 1.33/1.48 do 0 intro. intros zenon_H6d zenon_H1a zenon_H2fd zenon_H1a5 zenon_H2fb zenon_H304. % 1.33/1.48 generalize (zenon_H6d (a1)). zenon_intro zenon_H309. % 1.33/1.48 apply (zenon_imply_s _ _ zenon_H309); [ zenon_intro zenon_H19 | zenon_intro zenon_H30a ]. % 1.33/1.48 exact (zenon_H19 zenon_H1a). % 1.33/1.48 apply (zenon_or_s _ _ zenon_H30a); [ zenon_intro zenon_H302 | zenon_intro zenon_H307 ]. % 1.33/1.48 exact (zenon_H2fd zenon_H302). % 1.33/1.48 apply (zenon_or_s _ _ zenon_H307); [ zenon_intro zenon_H2fc | zenon_intro zenon_H308 ]. % 1.33/1.48 apply (zenon_L1159_); trivial. % 1.33/1.48 exact (zenon_H308 zenon_H304). % 1.33/1.48 (* end of lemma zenon_L1164_ *) % 1.33/1.48 assert (zenon_L1165_ : ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c3_1 (a1)) -> (~(c0_1 (a1))) -> (forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13)))))) -> (~(c2_1 (a1))) -> (c2_1 (a9)) -> (c1_1 (a9)) -> (c0_1 (a9)) -> (ndr1_0) -> (~(hskp19)) -> False). % 1.33/1.48 do 0 intro. intros zenon_H14a zenon_H304 zenon_H2fb zenon_H1a5 zenon_H2fd zenon_H13d zenon_H13c zenon_H13b zenon_H1a zenon_H144. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_H6d | zenon_intro zenon_H14e ]. % 1.33/1.48 apply (zenon_L1164_); trivial. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H1c | zenon_intro zenon_H145 ]. % 1.33/1.48 apply (zenon_L83_); trivial. % 1.33/1.48 exact (zenon_H144 zenon_H145). % 1.33/1.48 (* end of lemma zenon_L1165_ *) % 1.33/1.48 assert (zenon_L1166_ : ((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> (~(hskp19)) -> (~(c2_1 (a1))) -> (~(c0_1 (a1))) -> (c3_1 (a1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c2_1 (a31)) -> (c0_1 (a31)) -> (~(c1_1 (a31))) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (~(c2_1 (a16))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(hskp7)) -> (~(hskp7)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(hskp4)) -> False). % 1.33/1.48 do 0 intro. intros zenon_H148 zenon_H1a9 zenon_H144 zenon_H2fd zenon_H2fb zenon_H304 zenon_H14a zenon_Hfc zenon_H33 zenon_H3c zenon_H32 zenon_Heb zenon_Hea zenon_He9 zenon_Hb7 zenon_H1 zenon_Hd3 zenon_Hd. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H1a. zenon_intro zenon_H14b. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H13b. zenon_intro zenon_H14c. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H14c). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H1aa ]. % 1.33/1.48 apply (zenon_L1165_); trivial. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_Hf2 | zenon_intro zenon_He ]. % 1.33/1.48 apply (zenon_L66_); trivial. % 1.33/1.48 exact (zenon_Hd zenon_He). % 1.33/1.48 (* end of lemma zenon_L1166_ *) % 1.33/1.48 assert (zenon_L1167_ : ((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(hskp7)) -> (~(hskp7)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c3_1 W)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (c2_1 (a31)) -> (c0_1 (a31)) -> (~(c1_1 (a31))) -> (~(c2_1 (a1))) -> (~(c0_1 (a1))) -> (c3_1 (a1)) -> (c0_1 (a18)) -> (c2_1 (a18)) -> (~(c3_1 (a18))) -> (~(hskp19)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (~(c2_1 (a16))) -> (~(hskp2)) -> (~(hskp14)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((hskp2)\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> False). % 1.33/1.48 do 0 intro. intros zenon_H1d7 zenon_H167 zenon_H1a9 zenon_Hd zenon_Hb7 zenon_H1 zenon_H277 zenon_H1c2 zenon_Hd3 zenon_H33 zenon_H3c zenon_H32 zenon_H2fd zenon_H2fb zenon_H304 zenon_He0 zenon_Hc2 zenon_Hc1 zenon_H144 zenon_H14a zenon_H1ee zenon_Hfc zenon_Heb zenon_Hea zenon_He9 zenon_Hfe zenon_H100 zenon_H113 zenon_H1c1. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H1a. zenon_intro zenon_H1d8. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1d0. zenon_intro zenon_H1d9. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1ce. zenon_intro zenon_H1cf. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H12c | zenon_intro zenon_H148 ]. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1be ]. % 1.33/1.48 apply (zenon_L1163_); trivial. % 1.33/1.48 apply (zenon_L174_); trivial. % 1.33/1.48 apply (zenon_L1166_); trivial. % 1.33/1.48 (* end of lemma zenon_L1167_ *) % 1.33/1.48 assert (zenon_L1168_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp11)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((hskp2)\/(hskp14))) -> (~(hskp14)) -> (~(hskp2)) -> (~(c2_1 (a16))) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(c3_1 (a18))) -> (c0_1 (a18)) -> (c2_1 (a18)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c3_1 (a1)) -> (~(c0_1 (a1))) -> (~(c2_1 (a1))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c3_1 W)))))))) -> (~(hskp7)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(hskp7)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> (~(hskp8)) -> (~(hskp4)) -> ((hskp17)\/((hskp8)\/(hskp4))) -> False). % 1.33/1.48 do 0 intro. intros zenon_H9c zenon_H17b zenon_H93 zenon_H91 zenon_H1c1 zenon_H113 zenon_H100 zenon_Hfe zenon_He9 zenon_Hea zenon_Heb zenon_Hfc zenon_Hc1 zenon_He0 zenon_Hc2 zenon_H1c6 zenon_H1ee zenon_H14a zenon_H304 zenon_H2fb zenon_H2fd zenon_Hd3 zenon_H1c2 zenon_H277 zenon_H1 zenon_Hb7 zenon_H1a9 zenon_H167 zenon_H1da zenon_Hb zenon_Hd zenon_Hf. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.33/1.48 apply (zenon_L8_); trivial. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.33/1.48 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.33/1.48 apply (zenon_L646_); trivial. % 1.33/1.48 apply (zenon_L1167_); trivial. % 1.33/1.48 apply (zenon_L153_); trivial. % 1.33/1.48 (* end of lemma zenon_L1168_ *) % 1.33/1.48 assert (zenon_L1169_ : ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c3_1 (a1)) -> (~(c0_1 (a1))) -> (forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13)))))) -> (~(c2_1 (a1))) -> (~(c3_1 (a18))) -> (c2_1 (a18)) -> (c0_1 (a18)) -> (ndr1_0) -> (forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44)))))) -> (~(hskp19)) -> False). % 1.33/1.48 do 0 intro. intros zenon_H14a zenon_H304 zenon_H2fb zenon_H1a5 zenon_H2fd zenon_Hc1 zenon_Hc2 zenon_He0 zenon_H1a zenon_Had zenon_H144. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_H6d | zenon_intro zenon_H14e ]. % 1.33/1.48 apply (zenon_L1164_); trivial. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H1c | zenon_intro zenon_H145 ]. % 1.33/1.48 apply (zenon_L207_); trivial. % 1.33/1.48 exact (zenon_H144 zenon_H145). % 1.33/1.48 (* end of lemma zenon_L1169_ *) % 1.33/1.48 assert (zenon_L1170_ : ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (c2_1 (a31)) -> (c0_1 (a31)) -> (~(c1_1 (a31))) -> (forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10)))))) -> (ndr1_0) -> (~(c2_1 (a1))) -> (forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13)))))) -> (~(c0_1 (a1))) -> (c3_1 (a1)) -> (c0_1 (a18)) -> (c2_1 (a18)) -> (~(c3_1 (a18))) -> (~(hskp19)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> False). % 1.33/1.48 do 0 intro. intros zenon_Hd3 zenon_H33 zenon_H3c zenon_H32 zenon_H3b zenon_H1a zenon_H2fd zenon_H1a5 zenon_H2fb zenon_H304 zenon_He0 zenon_Hc2 zenon_Hc1 zenon_H144 zenon_H14a. % 1.33/1.48 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_Had | zenon_intro zenon_Hcd ]. % 1.33/1.48 apply (zenon_L1169_); trivial. % 1.33/1.48 apply (zenon_L155_); trivial. % 1.33/1.48 (* end of lemma zenon_L1170_ *) % 1.33/1.48 assert (zenon_L1171_ : ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (c3_1 (a10)) -> (c2_1 (a10)) -> (c0_1 (a10)) -> (ndr1_0) -> (~(c2_1 (a1))) -> (forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13)))))) -> (~(c0_1 (a1))) -> (c3_1 (a1)) -> (c0_1 (a18)) -> (c2_1 (a18)) -> (~(c3_1 (a18))) -> (~(hskp19)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> False). % 1.33/1.48 do 0 intro. intros zenon_Hd3 zenon_H1b7 zenon_H1b6 zenon_H1b5 zenon_H1a zenon_H2fd zenon_H1a5 zenon_H2fb zenon_H304 zenon_He0 zenon_Hc2 zenon_Hc1 zenon_H144 zenon_H14a. % 1.33/1.48 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_Had | zenon_intro zenon_Hcd ]. % 1.33/1.48 apply (zenon_L1169_); trivial. % 1.33/1.48 apply (zenon_L133_); trivial. % 1.33/1.48 (* end of lemma zenon_L1171_ *) % 1.33/1.48 assert (zenon_L1172_ : ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp19)) -> (~(c3_1 (a18))) -> (c2_1 (a18)) -> (c0_1 (a18)) -> (c3_1 (a1)) -> (~(c0_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a10)) -> (c2_1 (a10)) -> (c3_1 (a10)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (~(c2_1 (a16))) -> (forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11)))))) -> (ndr1_0) -> (~(hskp4)) -> False). % 1.33/1.48 do 0 intro. intros zenon_H1a9 zenon_H14a zenon_H144 zenon_Hc1 zenon_Hc2 zenon_He0 zenon_H304 zenon_H2fb zenon_H2fd zenon_H1b5 zenon_H1b6 zenon_H1b7 zenon_Hd3 zenon_Heb zenon_Hea zenon_He9 zenon_Hf3 zenon_H1a zenon_Hd. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H1aa ]. % 1.33/1.48 apply (zenon_L1171_); trivial. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_Hf2 | zenon_intro zenon_He ]. % 1.33/1.48 apply (zenon_L64_); trivial. % 1.33/1.48 exact (zenon_Hd zenon_He). % 1.33/1.48 (* end of lemma zenon_L1172_ *) % 1.33/1.48 assert (zenon_L1173_ : ((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11)))))))) -> (c2_1 (a24)) -> (~(c1_1 (a24))) -> (~(c0_1 (a24))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c2_1 (a31)) -> (c0_1 (a31)) -> (~(c1_1 (a31))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp19)) -> (~(c3_1 (a18))) -> (c2_1 (a18)) -> (c0_1 (a18)) -> (c3_1 (a1)) -> (~(c0_1 (a1))) -> (~(c2_1 (a1))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (~(c2_1 (a16))) -> (~(hskp4)) -> False). % 1.33/1.48 do 0 intro. intros zenon_H1be zenon_H1e0 zenon_H104 zenon_H103 zenon_H102 zenon_Hfc zenon_H33 zenon_H3c zenon_H32 zenon_H1a9 zenon_H14a zenon_H144 zenon_Hc1 zenon_Hc2 zenon_He0 zenon_H304 zenon_H2fb zenon_H2fd zenon_Hd3 zenon_Heb zenon_Hea zenon_He9 zenon_Hd. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H1a. zenon_intro zenon_H1bf. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H1bf). zenon_intro zenon_H1b5. zenon_intro zenon_H1c0. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H1c0). zenon_intro zenon_H1b6. zenon_intro zenon_H1b7. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H65 | zenon_intro zenon_H1e1 ]. % 1.33/1.48 apply (zenon_L69_); trivial. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H3b | zenon_intro zenon_Hf3 ]. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H1aa ]. % 1.33/1.48 apply (zenon_L1170_); trivial. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_Hf2 | zenon_intro zenon_He ]. % 1.33/1.48 apply (zenon_L173_); trivial. % 1.33/1.48 exact (zenon_Hd zenon_He). % 1.33/1.48 apply (zenon_L1172_); trivial. % 1.33/1.48 (* end of lemma zenon_L1173_ *) % 1.33/1.48 assert (zenon_L1174_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (c2_1 (a31)) -> (c0_1 (a31)) -> (~(c1_1 (a31))) -> (~(c2_1 (a1))) -> (~(c0_1 (a1))) -> (c3_1 (a1)) -> (~(hskp19)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (~(c2_1 (a16))) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> (c2_1 (a24)) -> (~(c1_1 (a24))) -> (~(c0_1 (a24))) -> (ndr1_0) -> (~(c3_1 (a18))) -> (c0_1 (a18)) -> (c2_1 (a18)) -> (~(hskp20)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> False). % 1.33/1.48 do 0 intro. intros zenon_H1c1 zenon_H1e0 zenon_Hd3 zenon_H33 zenon_H3c zenon_H32 zenon_H2fd zenon_H2fb zenon_H304 zenon_H144 zenon_H14a zenon_Hfc zenon_Heb zenon_Hea zenon_He9 zenon_Hd zenon_H1a9 zenon_H104 zenon_H103 zenon_H102 zenon_H1a zenon_Hc1 zenon_He0 zenon_Hc2 zenon_H1c4 zenon_H1c6. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1be ]. % 1.33/1.48 apply (zenon_L197_); trivial. % 1.33/1.48 apply (zenon_L1173_); trivial. % 1.33/1.48 (* end of lemma zenon_L1174_ *) % 1.33/1.48 assert (zenon_L1175_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> (~(hskp26)) -> (~(hskp25)) -> (~(c0_1 (a37))) -> (~(c3_1 (a37))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp19)) -> (~(c3_1 (a18))) -> (c2_1 (a18)) -> (c0_1 (a18)) -> (~(c1_1 (a31))) -> (c0_1 (a31)) -> (c2_1 (a31)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (ndr1_0) -> (~(c2_1 (a1))) -> (forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13)))))) -> (~(c0_1 (a1))) -> (c3_1 (a1)) -> False). % 1.33/1.48 do 0 intro. intros zenon_H1ee zenon_H1b3 zenon_H12c zenon_H1ce zenon_H1cf zenon_H1c2 zenon_H14a zenon_H144 zenon_Hc1 zenon_Hc2 zenon_He0 zenon_H32 zenon_H3c zenon_H33 zenon_Hd3 zenon_H1a zenon_H2fd zenon_H1a5 zenon_H2fb zenon_H304. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H1ee); [ zenon_intro zenon_H1e7 | zenon_intro zenon_H1ef ]. % 1.33/1.48 apply (zenon_L167_); trivial. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H3b | zenon_intro zenon_H6d ]. % 1.33/1.48 apply (zenon_L1170_); trivial. % 1.33/1.48 apply (zenon_L1164_); trivial. % 1.33/1.48 (* end of lemma zenon_L1175_ *) % 1.33/1.48 assert (zenon_L1176_ : ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> (c3_1 (a1)) -> (~(c0_1 (a1))) -> (~(c2_1 (a1))) -> (c0_1 (a18)) -> (c2_1 (a18)) -> (~(c3_1 (a18))) -> (~(hskp19)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> (~(c3_1 (a37))) -> (~(c0_1 (a37))) -> (~(hskp25)) -> (~(hskp26)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c2_1 (a31)) -> (c0_1 (a31)) -> (~(c1_1 (a31))) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (~(c2_1 (a16))) -> (ndr1_0) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(hskp7)) -> (~(hskp7)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(hskp4)) -> False). % 1.33/1.48 do 0 intro. intros zenon_H1a9 zenon_H304 zenon_H2fb zenon_H2fd zenon_He0 zenon_Hc2 zenon_Hc1 zenon_H144 zenon_H14a zenon_H1c2 zenon_H1cf zenon_H1ce zenon_H12c zenon_H1b3 zenon_H1ee zenon_Hfc zenon_H33 zenon_H3c zenon_H32 zenon_Heb zenon_Hea zenon_He9 zenon_H1a zenon_Hb7 zenon_H1 zenon_Hd3 zenon_Hd. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H1aa ]. % 1.33/1.48 apply (zenon_L1175_); trivial. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_Hf2 | zenon_intro zenon_He ]. % 1.33/1.48 apply (zenon_L66_); trivial. % 1.33/1.48 exact (zenon_Hd zenon_He). % 1.33/1.48 (* end of lemma zenon_L1176_ *) % 1.33/1.48 assert (zenon_L1177_ : ((~(hskp9))\/((ndr1_0)/\((c0_1 (a16))/\((~(c2_1 (a16)))/\(~(c3_1 (a16))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((hskp2)\/(hskp14))) -> (~(hskp2)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a24))/\((~(c0_1 (a24)))/\(~(c1_1 (a24))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> ((~(hskp13))\/((ndr1_0)/\((~(c0_1 (a22)))/\((~(c2_1 (a22)))/\(~(c3_1 (a22))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c3_1 W)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (c3_1 (a1)) -> (~(c2_1 (a1))) -> (~(c0_1 (a1))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> (~(hskp8)) -> (~(hskp4)) -> ((hskp17)\/((hskp8)\/(hskp4))) -> (~(hskp7)) -> ((hskp7)\/((hskp9)\/(hskp13))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(hskp7)) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a19))/\((~(c1_1 (a19)))/\(~(c3_1 (a19))))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a18))/\((c2_1 (a18))/\(~(c3_1 (a18))))))) -> False). % 1.33/1.48 do 0 intro. intros zenon_H215 zenon_H1c1 zenon_H113 zenon_Hfe zenon_H1c6 zenon_H1c2 zenon_H167 zenon_H1da zenon_H1e0 zenon_H112 zenon_H42 zenon_Hfc zenon_H1a9 zenon_H287 zenon_H9c zenon_H277 zenon_H43 zenon_H304 zenon_H2fd zenon_H2fb zenon_H1ee zenon_Hb zenon_Hd zenon_Hf zenon_H1 zenon_H7 zenon_H17b zenon_H93 zenon_H14a zenon_Hd3 zenon_Hb7 zenon_H213 zenon_H212. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H3 | zenon_intro zenon_H216 ]. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H2d | zenon_intro zenon_H217 ]. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H5 | zenon_intro zenon_H284 ]. % 1.33/1.48 apply (zenon_L4_); trivial. % 1.33/1.48 apply (zenon_L1153_); trivial. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H1a. zenon_intro zenon_H218. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_He0. zenon_intro zenon_H219. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_Hc2. zenon_intro zenon_Hc1. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H91 | zenon_intro zenon_He5 ]. % 1.33/1.48 apply (zenon_L1158_); trivial. % 1.33/1.48 apply (zenon_L62_); trivial. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_H1a. zenon_intro zenon_H21a. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_Heb. zenon_intro zenon_H21b. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_He9. zenon_intro zenon_Hea. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H2d | zenon_intro zenon_H217 ]. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.33/1.48 apply (zenon_L8_); trivial. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.33/1.48 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H1aa ]. % 1.33/1.48 apply (zenon_L1162_); trivial. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_Hf2 | zenon_intro zenon_He ]. % 1.33/1.48 apply (zenon_L66_); trivial. % 1.33/1.48 exact (zenon_Hd zenon_He). % 1.33/1.48 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H1a. zenon_intro zenon_H218. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_He0. zenon_intro zenon_H219. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_Hc2. zenon_intro zenon_Hc1. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H91 | zenon_intro zenon_He5 ]. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_H100 | zenon_intro zenon_H10d ]. % 1.33/1.48 apply (zenon_L1168_); trivial. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_H1a. zenon_intro zenon_H10f. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H104. zenon_intro zenon_H110. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_H102. zenon_intro zenon_H103. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.33/1.48 apply (zenon_L8_); trivial. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.33/1.48 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.33/1.48 apply (zenon_L1174_); trivial. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H1a. zenon_intro zenon_H1d8. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1d0. zenon_intro zenon_H1d9. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1ce. zenon_intro zenon_H1cf. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H12c | zenon_intro zenon_H148 ]. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1be ]. % 1.33/1.48 apply (zenon_L1176_); trivial. % 1.33/1.48 apply (zenon_L1173_); trivial. % 1.33/1.48 apply (zenon_L1166_); trivial. % 1.33/1.48 apply (zenon_L153_); trivial. % 1.33/1.48 apply (zenon_L62_); trivial. % 1.33/1.48 (* end of lemma zenon_L1177_ *) % 1.33/1.48 assert (zenon_L1178_ : (forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42)))))) -> (ndr1_0) -> (forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32)))))) -> (~(c0_1 (a1))) -> (c3_1 (a1)) -> (~(c2_1 (a1))) -> False). % 1.33/1.48 do 0 intro. intros zenon_H132 zenon_H1a zenon_H1b zenon_H2fb zenon_H304 zenon_H2fd. % 1.33/1.48 generalize (zenon_H132 (a1)). zenon_intro zenon_H311. % 1.33/1.48 apply (zenon_imply_s _ _ zenon_H311); [ zenon_intro zenon_H19 | zenon_intro zenon_H312 ]. % 1.33/1.48 exact (zenon_H19 zenon_H1a). % 1.33/1.48 apply (zenon_or_s _ _ zenon_H312); [ zenon_intro zenon_H303 | zenon_intro zenon_H30d ]. % 1.33/1.48 generalize (zenon_H1b (a1)). zenon_intro zenon_H305. % 1.33/1.48 apply (zenon_imply_s _ _ zenon_H305); [ zenon_intro zenon_H19 | zenon_intro zenon_H306 ]. % 1.33/1.48 exact (zenon_H19 zenon_H1a). % 1.33/1.48 apply (zenon_or_s _ _ zenon_H306); [ zenon_intro zenon_H301 | zenon_intro zenon_H307 ]. % 1.33/1.48 exact (zenon_H2fb zenon_H301). % 1.33/1.48 apply (zenon_or_s _ _ zenon_H307); [ zenon_intro zenon_H2fc | zenon_intro zenon_H308 ]. % 1.33/1.48 exact (zenon_H2fc zenon_H303). % 1.33/1.48 exact (zenon_H308 zenon_H304). % 1.33/1.48 apply (zenon_or_s _ _ zenon_H30d); [ zenon_intro zenon_H302 | zenon_intro zenon_H308 ]. % 1.33/1.48 exact (zenon_H2fd zenon_H302). % 1.33/1.48 exact (zenon_H308 zenon_H304). % 1.33/1.48 (* end of lemma zenon_L1178_ *) % 1.33/1.48 assert (zenon_L1179_ : ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (~(c2_1 (a1))) -> (c3_1 (a1)) -> (~(c0_1 (a1))) -> (forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32)))))) -> (c3_1 (a14)) -> (c0_1 (a14)) -> (~(c2_1 (a14))) -> (ndr1_0) -> (~(hskp15)) -> False). % 1.33/1.48 do 0 intro. intros zenon_H149 zenon_H2fd zenon_H304 zenon_H2fb zenon_H1b zenon_H121 zenon_H120 zenon_H11f zenon_H1a zenon_H146. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H132 | zenon_intro zenon_H14d ]. % 1.33/1.48 apply (zenon_L1178_); trivial. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H11e | zenon_intro zenon_H147 ]. % 1.33/1.48 apply (zenon_L76_); trivial. % 1.33/1.48 exact (zenon_H146 zenon_H147). % 1.33/1.48 (* end of lemma zenon_L1179_ *) % 1.33/1.48 assert (zenon_L1180_ : ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp15)) -> (~(c2_1 (a14))) -> (c0_1 (a14)) -> (c3_1 (a14)) -> (~(c0_1 (a1))) -> (c3_1 (a1)) -> (~(c2_1 (a1))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (c0_1 (a31)) -> (c2_1 (a31)) -> (~(c1_1 (a31))) -> (ndr1_0) -> (forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10)))))) -> (~(hskp10)) -> False). % 1.33/1.48 do 0 intro. intros zenon_H43 zenon_H146 zenon_H11f zenon_H120 zenon_H121 zenon_H2fb zenon_H304 zenon_H2fd zenon_H149 zenon_H3c zenon_H33 zenon_H32 zenon_H1a zenon_H3b zenon_H2d. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H43); [ zenon_intro zenon_H1b | zenon_intro zenon_H47 ]. % 1.33/1.48 apply (zenon_L1179_); trivial. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H47); [ zenon_intro zenon_H31 | zenon_intro zenon_H2e ]. % 1.33/1.48 apply (zenon_L19_); trivial. % 1.33/1.48 exact (zenon_H2d zenon_H2e). % 1.33/1.48 (* end of lemma zenon_L1180_ *) % 1.33/1.48 assert (zenon_L1181_ : ((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> (~(hskp10)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (~(c2_1 (a1))) -> (c3_1 (a1)) -> (~(c0_1 (a1))) -> (c3_1 (a14)) -> (c0_1 (a14)) -> (~(c2_1 (a14))) -> (~(hskp15)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp4)) -> False). % 1.33/1.48 do 0 intro. intros zenon_H9e zenon_H42 zenon_H2d zenon_H149 zenon_H2fd zenon_H304 zenon_H2fb zenon_H121 zenon_H120 zenon_H11f zenon_H146 zenon_H43 zenon_Hd. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.33/1.48 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H1b | zenon_intro zenon_H46 ]. % 1.33/1.48 apply (zenon_L1179_); trivial. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_He ]. % 1.33/1.48 apply (zenon_L1180_); trivial. % 1.33/1.48 exact (zenon_Hd zenon_He). % 1.33/1.48 (* end of lemma zenon_L1181_ *) % 1.33/1.48 assert (zenon_L1182_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> (~(hskp10)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(c0_1 (a1))) -> (c3_1 (a1)) -> (~(c2_1 (a1))) -> (~(c2_1 (a14))) -> (c0_1 (a14)) -> (c3_1 (a14)) -> (~(hskp15)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (~(hskp8)) -> (~(hskp4)) -> ((hskp17)\/((hskp8)\/(hskp4))) -> False). % 1.33/1.48 do 0 intro. intros zenon_H9c zenon_H42 zenon_H2d zenon_H43 zenon_H2fb zenon_H304 zenon_H2fd zenon_H11f zenon_H120 zenon_H121 zenon_H146 zenon_H149 zenon_Hb zenon_Hd zenon_Hf. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.33/1.48 apply (zenon_L8_); trivial. % 1.33/1.48 apply (zenon_L1181_); trivial. % 1.33/1.48 (* end of lemma zenon_L1182_ *) % 1.33/1.48 assert (zenon_L1183_ : ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((hskp9)\/(hskp24))) -> (c3_1 (a1)) -> (~(c0_1 (a1))) -> (forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13)))))) -> (~(c2_1 (a1))) -> (ndr1_0) -> (~(hskp9)) -> (~(hskp24)) -> False). % 1.33/1.48 do 0 intro. intros zenon_H7b zenon_H304 zenon_H2fb zenon_H1a5 zenon_H2fd zenon_H1a zenon_H3 zenon_H11. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H7b); [ zenon_intro zenon_H6d | zenon_intro zenon_H7c ]. % 1.33/1.48 apply (zenon_L1164_); trivial. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H7c); [ zenon_intro zenon_H4 | zenon_intro zenon_H12 ]. % 1.33/1.48 exact (zenon_H3 zenon_H4). % 1.33/1.48 exact (zenon_H11 zenon_H12). % 1.33/1.48 (* end of lemma zenon_L1183_ *) % 1.33/1.48 assert (zenon_L1184_ : ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> (~(c2_1 (a1))) -> (~(c0_1 (a1))) -> (c3_1 (a1)) -> (~(hskp24)) -> (~(hskp9)) -> (ndr1_0) -> (~(c2_1 (a14))) -> (c0_1 (a14)) -> (c3_1 (a14)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((hskp9)\/(hskp24))) -> (~(hskp4)) -> False). % 1.33/1.48 do 0 intro. intros zenon_H1a9 zenon_H2fd zenon_H2fb zenon_H304 zenon_H11 zenon_H3 zenon_H1a zenon_H11f zenon_H120 zenon_H121 zenon_H7b zenon_Hd. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H1aa ]. % 1.33/1.48 apply (zenon_L1183_); trivial. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_Hf2 | zenon_intro zenon_He ]. % 1.33/1.48 apply (zenon_L126_); trivial. % 1.33/1.48 exact (zenon_Hd zenon_He). % 1.33/1.48 (* end of lemma zenon_L1184_ *) % 1.33/1.48 assert (zenon_L1185_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> (c3_1 (a1)) -> (~(c0_1 (a1))) -> (~(c2_1 (a1))) -> (~(c1_1 (a19))) -> (~(c3_1 (a19))) -> (c2_1 (a19)) -> (ndr1_0) -> (~(c0_1 (a37))) -> (~(c3_1 (a37))) -> (~(hskp25)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c3_1 W)))))))) -> False). % 1.33/1.48 do 0 intro. intros zenon_H1c1 zenon_Hd3 zenon_H1ee zenon_H304 zenon_H2fb zenon_H2fd zenon_Hae zenon_Haf zenon_Hb0 zenon_H1a zenon_H1ce zenon_H1cf zenon_H12c zenon_H1c2 zenon_H277. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1be ]. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H4b | zenon_intro zenon_H278 ]. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H1ee); [ zenon_intro zenon_H1e7 | zenon_intro zenon_H1ef ]. % 1.33/1.48 apply (zenon_L167_); trivial. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H3b | zenon_intro zenon_H6d ]. % 1.33/1.48 apply (zenon_L168_); trivial. % 1.33/1.48 apply (zenon_L1150_); trivial. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H1e7 | zenon_intro zenon_H69 ]. % 1.33/1.48 apply (zenon_L167_); trivial. % 1.33/1.48 apply (zenon_L1151_); trivial. % 1.33/1.48 apply (zenon_L134_); trivial. % 1.33/1.48 (* end of lemma zenon_L1185_ *) % 1.33/1.48 assert (zenon_L1186_ : ((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> (~(c2_1 (a1))) -> (~(c0_1 (a1))) -> (c3_1 (a1)) -> (~(hskp19)) -> (~(c2_1 (a14))) -> (c0_1 (a14)) -> (c3_1 (a14)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp4)) -> False). % 1.33/1.48 do 0 intro. intros zenon_H148 zenon_H1a9 zenon_H2fd zenon_H2fb zenon_H304 zenon_H144 zenon_H11f zenon_H120 zenon_H121 zenon_H14a zenon_Hd. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H1a. zenon_intro zenon_H14b. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H13b. zenon_intro zenon_H14c. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H14c). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H1aa ]. % 1.33/1.48 apply (zenon_L1165_); trivial. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_Hf2 | zenon_intro zenon_He ]. % 1.33/1.48 apply (zenon_L136_); trivial. % 1.33/1.48 exact (zenon_Hd zenon_He). % 1.33/1.48 (* end of lemma zenon_L1186_ *) % 1.33/1.48 assert (zenon_L1187_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> (~(hskp4)) -> (~(c2_1 (a14))) -> (c0_1 (a14)) -> (c3_1 (a14)) -> (~(hskp19)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c3_1 W)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> (~(c2_1 (a1))) -> (~(c0_1 (a1))) -> (c3_1 (a1)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> (c2_1 (a19)) -> (~(c1_1 (a19))) -> (~(c3_1 (a19))) -> (ndr1_0) -> (~(c3_1 (a25))) -> (c0_1 (a25)) -> (c1_1 (a25)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp24))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> False). % 1.33/1.48 do 0 intro. intros zenon_H1da zenon_H167 zenon_H1a9 zenon_Hd zenon_H11f zenon_H120 zenon_H121 zenon_H144 zenon_H14a zenon_H277 zenon_H1c2 zenon_H2fd zenon_H2fb zenon_H304 zenon_H1ee zenon_H1c1 zenon_Hd3 zenon_H1c6 zenon_Hb0 zenon_Hae zenon_Haf zenon_H1a zenon_H18e zenon_H18f zenon_H19a zenon_H1f8 zenon_H177 zenon_H48. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.33/1.48 apply (zenon_L661_); trivial. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H1a. zenon_intro zenon_H1d8. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1d0. zenon_intro zenon_H1d9. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1ce. zenon_intro zenon_H1cf. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H12c | zenon_intro zenon_H148 ]. % 1.33/1.48 apply (zenon_L1185_); trivial. % 1.33/1.48 apply (zenon_L1186_); trivial. % 1.33/1.48 (* end of lemma zenon_L1187_ *) % 1.33/1.48 assert (zenon_L1188_ : ((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp8)\/(hskp9))) -> (~(hskp9)) -> (~(hskp8)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> (c2_1 (a19)) -> (~(c1_1 (a19))) -> (~(c3_1 (a19))) -> (~(c3_1 (a25))) -> (c0_1 (a25)) -> (c1_1 (a25)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp24))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> False). % 1.33/1.48 do 0 intro. intros zenon_H176 zenon_H1da zenon_H1a3 zenon_H3 zenon_Hb zenon_H95 zenon_H1c1 zenon_Hd3 zenon_H1c6 zenon_Hb0 zenon_Hae zenon_Haf zenon_H18e zenon_H18f zenon_H19a zenon_H1f8 zenon_H177 zenon_H48. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1a. zenon_intro zenon_H178. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H16a. zenon_intro zenon_H179. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H171. zenon_intro zenon_H168. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.33/1.48 apply (zenon_L661_); trivial. % 1.33/1.48 apply (zenon_L146_); trivial. % 1.33/1.48 (* end of lemma zenon_L1188_ *) % 1.33/1.48 assert (zenon_L1189_ : ((ndr1_0)/\((c2_1 (a19))/\((~(c1_1 (a19)))/\(~(c3_1 (a19)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(~(c3_1 (a25))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp8)\/(hskp9))) -> (~(hskp9)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp24))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c3_1 W)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((hskp17)\/((hskp8)\/(hskp4))) -> (~(hskp4)) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (c3_1 (a14)) -> (c0_1 (a14)) -> (~(c2_1 (a14))) -> (~(c2_1 (a1))) -> (c3_1 (a1)) -> (~(c0_1 (a1))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> False). % 1.33/1.48 do 0 intro. intros zenon_He5 zenon_H1a2 zenon_H17b zenon_H1a3 zenon_H3 zenon_H95 zenon_H48 zenon_H177 zenon_H1f8 zenon_H1c6 zenon_Hd3 zenon_H1c1 zenon_H1ee zenon_H1c2 zenon_H277 zenon_H14a zenon_H1a9 zenon_H167 zenon_H1da zenon_Hf zenon_Hd zenon_Hb zenon_H149 zenon_H121 zenon_H120 zenon_H11f zenon_H2fd zenon_H304 zenon_H2fb zenon_H43 zenon_H2d zenon_H42 zenon_H9c. % 1.33/1.48 apply (zenon_and_s _ _ zenon_He5). zenon_intro zenon_H1a. zenon_intro zenon_He6. % 1.33/1.48 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_Hb0. zenon_intro zenon_He7. % 1.33/1.48 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hae. zenon_intro zenon_Haf. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H146 | zenon_intro zenon_H19f ]. % 1.33/1.48 apply (zenon_L1182_); trivial. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H1a. zenon_intro zenon_H1a0. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H18f. zenon_intro zenon_H1a1. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H19a. zenon_intro zenon_H18e. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.33/1.48 apply (zenon_L1187_); trivial. % 1.33/1.48 apply (zenon_L1188_); trivial. % 1.33/1.48 (* end of lemma zenon_L1189_ *) % 1.33/1.48 assert (zenon_L1190_ : ((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> (c3_1 (a1)) -> (~(c0_1 (a1))) -> (~(c2_1 (a1))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp19)) -> (~(c3_1 (a18))) -> (c2_1 (a18)) -> (c0_1 (a18)) -> (c3_1 (a14)) -> (c0_1 (a14)) -> (~(c2_1 (a14))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(hskp4)) -> False). % 1.33/1.48 do 0 intro. intros zenon_H1be zenon_H1a9 zenon_H304 zenon_H2fb zenon_H2fd zenon_H14a zenon_H144 zenon_Hc1 zenon_Hc2 zenon_He0 zenon_H121 zenon_H120 zenon_H11f zenon_Hd3 zenon_Hd. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H1a. zenon_intro zenon_H1bf. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H1bf). zenon_intro zenon_H1b5. zenon_intro zenon_H1c0. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H1c0). zenon_intro zenon_H1b6. zenon_intro zenon_H1b7. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H1aa ]. % 1.33/1.48 apply (zenon_L1171_); trivial. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_Hf2 | zenon_intro zenon_He ]. % 1.33/1.48 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_Had | zenon_intro zenon_Hcd ]. % 1.33/1.48 apply (zenon_L208_); trivial. % 1.33/1.48 apply (zenon_L133_); trivial. % 1.33/1.48 exact (zenon_Hd zenon_He). % 1.33/1.48 (* end of lemma zenon_L1190_ *) % 1.33/1.48 assert (zenon_L1191_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> (~(hskp4)) -> (c3_1 (a14)) -> (c0_1 (a14)) -> (~(c2_1 (a14))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp19)) -> (c3_1 (a1)) -> (~(c0_1 (a1))) -> (~(c2_1 (a1))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (ndr1_0) -> (~(c3_1 (a18))) -> (c0_1 (a18)) -> (c2_1 (a18)) -> (~(hskp20)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> False). % 1.33/1.48 do 0 intro. intros zenon_H1c1 zenon_H1a9 zenon_Hd zenon_H121 zenon_H120 zenon_H11f zenon_H14a zenon_H144 zenon_H304 zenon_H2fb zenon_H2fd zenon_Hd3 zenon_H1a zenon_Hc1 zenon_He0 zenon_Hc2 zenon_H1c4 zenon_H1c6. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1be ]. % 1.33/1.48 apply (zenon_L197_); trivial. % 1.33/1.48 apply (zenon_L1190_); trivial. % 1.33/1.48 (* end of lemma zenon_L1191_ *) % 1.33/1.48 assert (zenon_L1192_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> (c2_1 (a31)) -> (c0_1 (a31)) -> (~(c1_1 (a31))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> (c2_1 (a18)) -> (c0_1 (a18)) -> (~(c3_1 (a18))) -> (ndr1_0) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(c2_1 (a1))) -> (~(c0_1 (a1))) -> (c3_1 (a1)) -> (~(hskp19)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(c2_1 (a14))) -> (c0_1 (a14)) -> (c3_1 (a14)) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> False). % 1.33/1.48 do 0 intro. intros zenon_H1da zenon_H167 zenon_H1c2 zenon_H33 zenon_H3c zenon_H32 zenon_H1ee zenon_H1c6 zenon_Hc2 zenon_He0 zenon_Hc1 zenon_H1a zenon_Hd3 zenon_H2fd zenon_H2fb zenon_H304 zenon_H144 zenon_H14a zenon_H11f zenon_H120 zenon_H121 zenon_Hd zenon_H1a9 zenon_H1c1. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.33/1.48 apply (zenon_L1191_); trivial. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H1a. zenon_intro zenon_H1d8. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1d0. zenon_intro zenon_H1d9. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1ce. zenon_intro zenon_H1cf. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H12c | zenon_intro zenon_H148 ]. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1be ]. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H1aa ]. % 1.33/1.48 apply (zenon_L1175_); trivial. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_Hf2 | zenon_intro zenon_He ]. % 1.33/1.48 apply (zenon_L210_); trivial. % 1.33/1.48 exact (zenon_Hd zenon_He). % 1.33/1.48 apply (zenon_L1190_); trivial. % 1.33/1.48 apply (zenon_L1186_); trivial. % 1.33/1.48 (* end of lemma zenon_L1192_ *) % 1.33/1.48 assert (zenon_L1193_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp11)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> (c3_1 (a14)) -> (c0_1 (a14)) -> (~(c2_1 (a14))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c3_1 (a1)) -> (~(c0_1 (a1))) -> (~(c2_1 (a1))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(c3_1 (a18))) -> (c0_1 (a18)) -> (c2_1 (a18)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> (~(hskp8)) -> (~(hskp4)) -> ((hskp17)\/((hskp8)\/(hskp4))) -> False). % 1.33/1.48 do 0 intro. intros zenon_H9c zenon_H17b zenon_H93 zenon_H91 zenon_H1c1 zenon_H1a9 zenon_H121 zenon_H120 zenon_H11f zenon_H14a zenon_H304 zenon_H2fb zenon_H2fd zenon_Hd3 zenon_Hc1 zenon_He0 zenon_Hc2 zenon_H1c6 zenon_H1ee zenon_H1c2 zenon_H167 zenon_H1da zenon_Hb zenon_Hd zenon_Hf. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.33/1.48 apply (zenon_L8_); trivial. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.33/1.48 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.33/1.48 apply (zenon_L1192_); trivial. % 1.33/1.48 apply (zenon_L153_); trivial. % 1.33/1.48 (* end of lemma zenon_L1193_ *) % 1.33/1.48 assert (zenon_L1194_ : ((ndr1_0)/\((c2_1 (a19))/\((~(c1_1 (a19)))/\(~(c3_1 (a19)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp8)\/(hskp9))) -> (~(hskp9)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> (c3_1 (a14)) -> (c0_1 (a14)) -> (~(c2_1 (a14))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c3_1 (a1)) -> (~(c0_1 (a1))) -> (~(c2_1 (a1))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(c3_1 (a18))) -> (c0_1 (a18)) -> (c2_1 (a18)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> (~(hskp8)) -> (~(hskp4)) -> ((hskp17)\/((hskp8)\/(hskp4))) -> False). % 1.33/1.48 do 0 intro. intros zenon_He5 zenon_H9c zenon_H17b zenon_H1a3 zenon_H3 zenon_H95 zenon_H1c1 zenon_H1a9 zenon_H121 zenon_H120 zenon_H11f zenon_H14a zenon_H304 zenon_H2fb zenon_H2fd zenon_Hd3 zenon_Hc1 zenon_He0 zenon_Hc2 zenon_H1c6 zenon_H1ee zenon_H1c2 zenon_H167 zenon_H1da zenon_Hb zenon_Hd zenon_Hf. % 1.33/1.48 apply (zenon_and_s _ _ zenon_He5). zenon_intro zenon_H1a. zenon_intro zenon_He6. % 1.33/1.48 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_Hb0. zenon_intro zenon_He7. % 1.33/1.48 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hae. zenon_intro zenon_Haf. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.33/1.48 apply (zenon_L8_); trivial. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.33/1.48 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.33/1.48 apply (zenon_L1192_); trivial. % 1.33/1.48 apply (zenon_L280_); trivial. % 1.33/1.48 (* end of lemma zenon_L1194_ *) % 1.33/1.48 assert (zenon_L1195_ : ((ndr1_0)/\((c0_1 (a18))/\((c2_1 (a18))/\(~(c3_1 (a18)))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a19))/\((~(c1_1 (a19)))/\(~(c3_1 (a19))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp8)\/(hskp9))) -> (~(hskp9)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((hskp17)\/((hskp8)\/(hskp4))) -> (~(hskp4)) -> (~(hskp8)) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(c2_1 (a1))) -> (~(c0_1 (a1))) -> (c3_1 (a1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(c2_1 (a14))) -> (c0_1 (a14)) -> (c3_1 (a14)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> False). % 1.33/1.48 do 0 intro. intros zenon_H217 zenon_H213 zenon_H1a3 zenon_H3 zenon_H95 zenon_Hf zenon_Hd zenon_Hb zenon_H1da zenon_H167 zenon_H1c2 zenon_H1ee zenon_H1c6 zenon_Hd3 zenon_H2fd zenon_H2fb zenon_H304 zenon_H14a zenon_H11f zenon_H120 zenon_H121 zenon_H1a9 zenon_H1c1 zenon_H93 zenon_H17b zenon_H9c. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H1a. zenon_intro zenon_H218. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_He0. zenon_intro zenon_H219. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_Hc2. zenon_intro zenon_Hc1. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H91 | zenon_intro zenon_He5 ]. % 1.33/1.48 apply (zenon_L1193_); trivial. % 1.33/1.48 apply (zenon_L1194_); trivial. % 1.33/1.48 (* end of lemma zenon_L1195_ *) % 1.33/1.48 assert (zenon_L1196_ : ((~(hskp10))\/((ndr1_0)/\((c0_1 (a18))/\((c2_1 (a18))/\(~(c3_1 (a18))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(~(c3_1 (a25))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp8)\/(hskp9))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> (~(hskp9)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((hskp9)\/(hskp24))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((hskp17)\/((hskp8)\/(hskp4))) -> (~(hskp4)) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (c3_1 (a14)) -> (c0_1 (a14)) -> (~(c2_1 (a14))) -> (~(c2_1 (a1))) -> (c3_1 (a1)) -> (~(c0_1 (a1))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c3_1 W)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp24))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a19))/\((~(c1_1 (a19)))/\(~(c3_1 (a19))))))) -> False). % 1.33/1.48 do 0 intro. intros zenon_H212 zenon_H1a2 zenon_H17b zenon_H1e0 zenon_H1a3 zenon_H1a9 zenon_H3 zenon_H7b zenon_H93 zenon_Hfc zenon_Hd3 zenon_H14a zenon_H48 zenon_Hf zenon_Hd zenon_Hb zenon_H149 zenon_H121 zenon_H120 zenon_H11f zenon_H2fd zenon_H304 zenon_H2fb zenon_H43 zenon_H42 zenon_H9c zenon_H1da zenon_H167 zenon_H277 zenon_H1c2 zenon_H1ee zenon_H1c1 zenon_H1c6 zenon_H1f8 zenon_H177 zenon_H95 zenon_H213. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H2d | zenon_intro zenon_H217 ]. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H91 | zenon_intro zenon_He5 ]. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H146 | zenon_intro zenon_H19f ]. % 1.33/1.48 apply (zenon_L1182_); trivial. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H1a. zenon_intro zenon_H1a0. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H18f. zenon_intro zenon_H1a1. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H19a. zenon_intro zenon_H18e. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.33/1.48 apply (zenon_L8_); trivial. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.33/1.48 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H11 | zenon_intro zenon_H41 ]. % 1.33/1.48 apply (zenon_L1184_); trivial. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H1a. zenon_intro zenon_H44. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H1d. zenon_intro zenon_H45. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H1e. zenon_intro zenon_H1f. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H1aa ]. % 1.33/1.48 apply (zenon_L1162_); trivial. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_Hf2 | zenon_intro zenon_He ]. % 1.33/1.48 apply (zenon_L276_); trivial. % 1.33/1.48 exact (zenon_Hd zenon_He). % 1.33/1.48 apply (zenon_L159_); trivial. % 1.33/1.48 apply (zenon_L1189_); trivial. % 1.33/1.48 apply (zenon_L1195_); trivial. % 1.33/1.48 (* end of lemma zenon_L1196_ *) % 1.33/1.48 assert (zenon_L1197_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c3_1 W)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (c0_1 (a31)) -> (c2_1 (a31)) -> (~(c1_1 (a31))) -> (~(hskp10)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> (~(hskp26)) -> (~(hskp25)) -> (~(c0_1 (a37))) -> (~(c3_1 (a37))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> (ndr1_0) -> (~(c0_1 (a1))) -> (~(c2_1 (a1))) -> (c3_1 (a1)) -> False). % 1.33/1.48 do 0 intro. intros zenon_H277 zenon_H43 zenon_H3c zenon_H33 zenon_H32 zenon_H2d zenon_H1ee zenon_H1b3 zenon_H12c zenon_H1ce zenon_H1cf zenon_H1c2 zenon_H1a zenon_H2fb zenon_H2fd zenon_H304. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H4b | zenon_intro zenon_H278 ]. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H1ee); [ zenon_intro zenon_H1e7 | zenon_intro zenon_H1ef ]. % 1.33/1.48 apply (zenon_L167_); trivial. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H3b | zenon_intro zenon_H6d ]. % 1.33/1.48 apply (zenon_L1149_); trivial. % 1.33/1.48 apply (zenon_L1150_); trivial. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H1e7 | zenon_intro zenon_H69 ]. % 1.33/1.48 apply (zenon_L167_); trivial. % 1.33/1.48 apply (zenon_L1151_); trivial. % 1.33/1.48 (* end of lemma zenon_L1197_ *) % 1.33/1.48 assert (zenon_L1198_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((hskp2)\/(hskp14))) -> (~(hskp14)) -> (~(hskp2)) -> (~(c2_1 (a16))) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> (~(c0_1 (a1))) -> (~(c2_1 (a1))) -> (c3_1 (a1)) -> (~(c1_1 (a31))) -> (c2_1 (a31)) -> (c0_1 (a31)) -> (~(hskp10)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (ndr1_0) -> (~(c0_1 (a37))) -> (~(c3_1 (a37))) -> (~(hskp25)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c3_1 W)))))))) -> False). % 1.33/1.48 do 0 intro. intros zenon_H1c1 zenon_H113 zenon_H100 zenon_Hfe zenon_He9 zenon_Hea zenon_Heb zenon_Hfc zenon_H1ee zenon_H2fb zenon_H2fd zenon_H304 zenon_H32 zenon_H33 zenon_H3c zenon_H2d zenon_H43 zenon_H1a zenon_H1ce zenon_H1cf zenon_H12c zenon_H1c2 zenon_H277. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1be ]. % 1.33/1.48 apply (zenon_L1197_); trivial. % 1.33/1.48 apply (zenon_L174_); trivial. % 1.33/1.48 (* end of lemma zenon_L1198_ *) % 1.33/1.48 assert (zenon_L1199_ : ((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c3_1 W)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp10)) -> (c0_1 (a31)) -> (c2_1 (a31)) -> (~(c1_1 (a31))) -> (c3_1 (a1)) -> (~(c2_1 (a1))) -> (~(c0_1 (a1))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (~(c2_1 (a16))) -> (~(hskp2)) -> (~(hskp14)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((hskp2)\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> False). % 1.33/1.48 do 0 intro. intros zenon_H1d7 zenon_H167 zenon_H1f0 zenon_H277 zenon_H1c2 zenon_H43 zenon_H2d zenon_H3c zenon_H33 zenon_H32 zenon_H304 zenon_H2fd zenon_H2fb zenon_H1ee zenon_Hfc zenon_Heb zenon_Hea zenon_He9 zenon_Hfe zenon_H100 zenon_H113 zenon_H1c1. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H1a. zenon_intro zenon_H1d8. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1d0. zenon_intro zenon_H1d9. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1ce. zenon_intro zenon_H1cf. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H12c | zenon_intro zenon_H148 ]. % 1.33/1.48 apply (zenon_L1198_); trivial. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H1a. zenon_intro zenon_H14b. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H13b. zenon_intro zenon_H14c. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H14c). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H4b | zenon_intro zenon_H278 ]. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H1ee); [ zenon_intro zenon_H1e7 | zenon_intro zenon_H1ef ]. % 1.33/1.48 apply (zenon_L181_); trivial. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H3b | zenon_intro zenon_H6d ]. % 1.33/1.48 apply (zenon_L1149_); trivial. % 1.33/1.48 apply (zenon_L1150_); trivial. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H1e7 | zenon_intro zenon_H69 ]. % 1.33/1.48 apply (zenon_L181_); trivial. % 1.33/1.48 apply (zenon_L1151_); trivial. % 1.33/1.48 (* end of lemma zenon_L1199_ *) % 1.33/1.48 assert (zenon_L1200_ : ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> (~(hskp10)) -> (forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10)))))) -> (~(c1_1 (a31))) -> (c2_1 (a31)) -> (c0_1 (a31)) -> (~(c0_1 (a1))) -> (c3_1 (a1)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (c3_1 (a10)) -> (c2_1 (a10)) -> (c0_1 (a10)) -> (ndr1_0) -> (~(c2_1 (a16))) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(hskp4)) -> False). % 1.33/1.48 do 0 intro. intros zenon_H1a9 zenon_H2d zenon_H3b zenon_H32 zenon_H33 zenon_H3c zenon_H2fb zenon_H304 zenon_H43 zenon_H1b7 zenon_H1b6 zenon_H1b5 zenon_H1a zenon_He9 zenon_Hea zenon_Heb zenon_Hfc zenon_Hd. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H1aa ]. % 1.33/1.48 apply (zenon_L1161_); trivial. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_Hf2 | zenon_intro zenon_He ]. % 1.33/1.48 apply (zenon_L173_); trivial. % 1.33/1.48 exact (zenon_Hd zenon_He). % 1.33/1.48 (* end of lemma zenon_L1200_ *) % 1.33/1.48 assert (zenon_L1201_ : ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (c3_1 (a1)) -> (~(c0_1 (a1))) -> (c0_1 (a31)) -> (c2_1 (a31)) -> (~(c1_1 (a31))) -> (~(hskp10)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (~(c2_1 (a16))) -> (forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11)))))) -> (ndr1_0) -> (~(hskp4)) -> False). % 1.33/1.48 do 0 intro. intros zenon_H1a9 zenon_H43 zenon_H304 zenon_H2fb zenon_H3c zenon_H33 zenon_H32 zenon_H2d zenon_H42 zenon_Heb zenon_Hea zenon_He9 zenon_Hf3 zenon_H1a zenon_Hd. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H1aa ]. % 1.33/1.48 apply (zenon_L1162_); trivial. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_Hf2 | zenon_intro zenon_He ]. % 1.33/1.48 apply (zenon_L64_); trivial. % 1.33/1.48 exact (zenon_Hd zenon_He). % 1.33/1.48 (* end of lemma zenon_L1201_ *) % 1.33/1.48 assert (zenon_L1202_ : ((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11)))))))) -> (c2_1 (a24)) -> (~(c1_1 (a24))) -> (~(c0_1 (a24))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (c3_1 (a1)) -> (~(c0_1 (a1))) -> (c0_1 (a31)) -> (c2_1 (a31)) -> (~(c1_1 (a31))) -> (~(hskp10)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (~(c2_1 (a16))) -> (~(hskp4)) -> False). % 1.33/1.48 do 0 intro. intros zenon_H1be zenon_H1e0 zenon_H104 zenon_H103 zenon_H102 zenon_Hfc zenon_H1a9 zenon_H43 zenon_H304 zenon_H2fb zenon_H3c zenon_H33 zenon_H32 zenon_H2d zenon_H42 zenon_Heb zenon_Hea zenon_He9 zenon_Hd. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H1a. zenon_intro zenon_H1bf. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H1bf). zenon_intro zenon_H1b5. zenon_intro zenon_H1c0. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H1c0). zenon_intro zenon_H1b6. zenon_intro zenon_H1b7. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H65 | zenon_intro zenon_H1e1 ]. % 1.33/1.48 apply (zenon_L69_); trivial. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H3b | zenon_intro zenon_Hf3 ]. % 1.33/1.48 apply (zenon_L1200_); trivial. % 1.33/1.48 apply (zenon_L1201_); trivial. % 1.33/1.48 (* end of lemma zenon_L1202_ *) % 1.33/1.48 assert (zenon_L1203_ : ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11)))))))) -> (c2_1 (a24)) -> (~(c1_1 (a24))) -> (~(c0_1 (a24))) -> (forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (c3_1 (a1)) -> (~(c0_1 (a1))) -> (c0_1 (a31)) -> (c2_1 (a31)) -> (~(c1_1 (a31))) -> (~(hskp10)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (~(c2_1 (a16))) -> (ndr1_0) -> (~(hskp4)) -> False). % 1.33/1.48 do 0 intro. intros zenon_H1e0 zenon_H104 zenon_H103 zenon_H102 zenon_H31 zenon_H1a9 zenon_H43 zenon_H304 zenon_H2fb zenon_H3c zenon_H33 zenon_H32 zenon_H2d zenon_H42 zenon_Heb zenon_Hea zenon_He9 zenon_H1a zenon_Hd. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H65 | zenon_intro zenon_H1e1 ]. % 1.33/1.48 apply (zenon_L69_); trivial. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H3b | zenon_intro zenon_Hf3 ]. % 1.33/1.48 apply (zenon_L19_); trivial. % 1.33/1.48 apply (zenon_L1201_); trivial. % 1.33/1.48 (* end of lemma zenon_L1203_ *) % 1.33/1.48 assert (zenon_L1204_ : ((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (~(hskp4)) -> (~(c2_1 (a16))) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> (~(hskp10)) -> (~(c1_1 (a31))) -> (c2_1 (a31)) -> (c0_1 (a31)) -> (~(c0_1 (a1))) -> (c3_1 (a1)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> (~(c0_1 (a24))) -> (~(c1_1 (a24))) -> (c2_1 (a24)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11)))))))) -> (~(hskp1)) -> False). % 1.33/1.48 do 0 intro. intros zenon_H1d7 zenon_H162 zenon_H95 zenon_Hd zenon_He9 zenon_Hea zenon_Heb zenon_H42 zenon_H2d zenon_H32 zenon_H33 zenon_H3c zenon_H2fb zenon_H304 zenon_H43 zenon_H1a9 zenon_H102 zenon_H103 zenon_H104 zenon_H1e0 zenon_Hde. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H1a. zenon_intro zenon_H1d8. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1d0. zenon_intro zenon_H1d9. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1ce. zenon_intro zenon_H1cf. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H165 ]. % 1.33/1.48 apply (zenon_L310_); trivial. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H31 | zenon_intro zenon_Hdf ]. % 1.33/1.48 apply (zenon_L1203_); trivial. % 1.33/1.48 exact (zenon_Hde zenon_Hdf). % 1.33/1.48 (* end of lemma zenon_L1204_ *) % 1.33/1.48 assert (zenon_L1205_ : ((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c1_1 (a25)) -> (c0_1 (a25)) -> (~(c3_1 (a25))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> (~(c0_1 (a24))) -> (~(c1_1 (a24))) -> (c2_1 (a24)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> (~(hskp4)) -> (~(c2_1 (a16))) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> (~(c0_1 (a1))) -> (c3_1 (a1)) -> (~(hskp10)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> False). % 1.33/1.48 do 0 intro. intros zenon_H9e zenon_H1da zenon_H162 zenon_Hde zenon_H95 zenon_Hd3 zenon_Hfc zenon_H19a zenon_H18f zenon_H18e zenon_H1c6 zenon_H102 zenon_H103 zenon_H104 zenon_H1a9 zenon_Hd zenon_He9 zenon_Hea zenon_Heb zenon_H2fb zenon_H304 zenon_H2d zenon_H43 zenon_H42 zenon_H1e0 zenon_H1c1. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.33/1.48 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1be ]. % 1.33/1.48 apply (zenon_L379_); trivial. % 1.33/1.48 apply (zenon_L1202_); trivial. % 1.33/1.48 apply (zenon_L1204_); trivial. % 1.33/1.48 (* end of lemma zenon_L1205_ *) % 1.33/1.48 assert (zenon_L1206_ : ((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(~(c3_1 (a25)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> (~(c0_1 (a24))) -> (~(c1_1 (a24))) -> (c2_1 (a24)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> (~(c2_1 (a16))) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> (~(c0_1 (a1))) -> (c3_1 (a1)) -> (~(hskp10)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> (~(hskp8)) -> (~(hskp4)) -> ((hskp17)\/((hskp8)\/(hskp4))) -> False). % 1.33/1.49 do 0 intro. intros zenon_H19f zenon_H9c zenon_H1da zenon_H162 zenon_Hde zenon_H95 zenon_Hd3 zenon_Hfc zenon_H1c6 zenon_H102 zenon_H103 zenon_H104 zenon_H1a9 zenon_He9 zenon_Hea zenon_Heb zenon_H2fb zenon_H304 zenon_H2d zenon_H43 zenon_H42 zenon_H1e0 zenon_H1c1 zenon_Hb zenon_Hd zenon_Hf. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H1a. zenon_intro zenon_H1a0. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H18f. zenon_intro zenon_H1a1. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H19a. zenon_intro zenon_H18e. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.33/1.49 apply (zenon_L8_); trivial. % 1.33/1.49 apply (zenon_L1205_); trivial. % 1.33/1.49 (* end of lemma zenon_L1206_ *) % 1.33/1.49 assert (zenon_L1207_ : ((ndr1_0)/\((c2_1 (a24))/\((~(c0_1 (a24)))/\(~(c1_1 (a24)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(~(c3_1 (a25))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> (~(c2_1 (a16))) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((hskp17)\/((hskp8)\/(hskp4))) -> (~(hskp4)) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (c3_1 (a14)) -> (c0_1 (a14)) -> (~(c2_1 (a14))) -> (~(c2_1 (a1))) -> (c3_1 (a1)) -> (~(c0_1 (a1))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> False). % 1.33/1.49 do 0 intro. intros zenon_H10d zenon_H1a2 zenon_H1da zenon_H162 zenon_Hde zenon_H95 zenon_Hd3 zenon_Hfc zenon_H1c6 zenon_H1a9 zenon_He9 zenon_Hea zenon_Heb zenon_H1e0 zenon_H1c1 zenon_Hf zenon_Hd zenon_Hb zenon_H149 zenon_H121 zenon_H120 zenon_H11f zenon_H2fd zenon_H304 zenon_H2fb zenon_H43 zenon_H2d zenon_H42 zenon_H9c. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_H1a. zenon_intro zenon_H10f. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H104. zenon_intro zenon_H110. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_H102. zenon_intro zenon_H103. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H146 | zenon_intro zenon_H19f ]. % 1.33/1.49 apply (zenon_L1182_); trivial. % 1.33/1.49 apply (zenon_L1206_); trivial. % 1.33/1.49 (* end of lemma zenon_L1207_ *) % 1.33/1.49 assert (zenon_L1208_ : ((~(hskp14))\/((ndr1_0)/\((c2_1 (a24))/\((~(c0_1 (a24)))/\(~(c1_1 (a24))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> (~(hskp10)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(c0_1 (a1))) -> (c3_1 (a1)) -> (~(c2_1 (a1))) -> (~(c2_1 (a14))) -> (c0_1 (a14)) -> (c3_1 (a14)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (~(hskp8)) -> (~(hskp4)) -> ((hskp17)\/((hskp8)\/(hskp4))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((hskp2)\/(hskp14))) -> (~(hskp2)) -> (~(c2_1 (a16))) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c3_1 W)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(~(c3_1 (a25))))))) -> False). % 1.33/1.49 do 0 intro. intros zenon_H112 zenon_H162 zenon_Hde zenon_H95 zenon_H1a9 zenon_H1e0 zenon_H9c zenon_H42 zenon_H2d zenon_H43 zenon_H2fb zenon_H304 zenon_H2fd zenon_H11f zenon_H120 zenon_H121 zenon_H149 zenon_Hb zenon_Hd zenon_Hf zenon_H1c1 zenon_H113 zenon_Hfe zenon_He9 zenon_Hea zenon_Heb zenon_H1c6 zenon_Hfc zenon_Hd3 zenon_H1ee zenon_H1c2 zenon_H277 zenon_H1f0 zenon_H167 zenon_H1da zenon_H1a2. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_H100 | zenon_intro zenon_H10d ]. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H146 | zenon_intro zenon_H19f ]. % 1.33/1.49 apply (zenon_L1182_); trivial. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H1a. zenon_intro zenon_H1a0. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H18f. zenon_intro zenon_H1a1. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H19a. zenon_intro zenon_H18e. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.33/1.49 apply (zenon_L8_); trivial. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.33/1.49 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.33/1.49 apply (zenon_L380_); trivial. % 1.33/1.49 apply (zenon_L1199_); trivial. % 1.33/1.49 apply (zenon_L1207_); trivial. % 1.33/1.49 (* end of lemma zenon_L1208_ *) % 1.33/1.49 assert (zenon_L1209_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> (c2_1 (a9)) -> (c1_1 (a9)) -> (c0_1 (a9)) -> (~(c0_1 (a37))) -> (~(c3_1 (a37))) -> (~(c3_1 (a18))) -> (c2_1 (a18)) -> (c0_1 (a18)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((hskp2)\/(hskp14))) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (~(c2_1 (a16))) -> (~(hskp2)) -> (~(hskp14)) -> (~(c1_1 (a19))) -> (~(c3_1 (a19))) -> (c2_1 (a19)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> (ndr1_0) -> (~(c2_1 (a1))) -> (forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13)))))) -> (~(c0_1 (a1))) -> (c3_1 (a1)) -> False). % 1.33/1.49 do 0 intro. intros zenon_H1ee zenon_H13d zenon_H13c zenon_H13b zenon_H1ce zenon_H1cf zenon_Hc1 zenon_Hc2 zenon_He0 zenon_H113 zenon_Heb zenon_Hea zenon_He9 zenon_Hfe zenon_H100 zenon_Hae zenon_Haf zenon_Hb0 zenon_H1f0 zenon_H1a zenon_H2fd zenon_H1a5 zenon_H2fb zenon_H304. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H1ee); [ zenon_intro zenon_H1e7 | zenon_intro zenon_H1ef ]. % 1.33/1.49 apply (zenon_L181_); trivial. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H3b | zenon_intro zenon_H6d ]. % 1.33/1.49 apply (zenon_L305_); trivial. % 1.33/1.49 apply (zenon_L1164_); trivial. % 1.33/1.49 (* end of lemma zenon_L1209_ *) % 1.33/1.49 assert (zenon_L1210_ : ((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> (~(hskp4)) -> (~(c2_1 (a14))) -> (c0_1 (a14)) -> (c3_1 (a14)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> (~(c2_1 (a16))) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> (~(hskp2)) -> (~(hskp14)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((hskp2)\/(hskp14))) -> (~(c3_1 (a18))) -> (c2_1 (a18)) -> (c0_1 (a18)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c3_1 W)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> (c2_1 (a19)) -> (~(c3_1 (a19))) -> (~(c1_1 (a19))) -> (~(c2_1 (a1))) -> (~(c0_1 (a1))) -> (c3_1 (a1)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> False). % 1.33/1.49 do 0 intro. intros zenon_H1d7 zenon_H167 zenon_H1a9 zenon_Hd zenon_H11f zenon_H120 zenon_H121 zenon_H1f0 zenon_He9 zenon_Hea zenon_Heb zenon_Hfe zenon_H100 zenon_H113 zenon_Hc1 zenon_Hc2 zenon_He0 zenon_H277 zenon_H1c2 zenon_Hb0 zenon_Haf zenon_Hae zenon_H2fd zenon_H2fb zenon_H304 zenon_H1ee zenon_Hd3 zenon_H1c1. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H1a. zenon_intro zenon_H1d8. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1d0. zenon_intro zenon_H1d9. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1ce. zenon_intro zenon_H1cf. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H12c | zenon_intro zenon_H148 ]. % 1.33/1.49 apply (zenon_L1185_); trivial. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H1a. zenon_intro zenon_H14b. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H13b. zenon_intro zenon_H14c. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H14c). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H1aa ]. % 1.33/1.49 apply (zenon_L1209_); trivial. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_Hf2 | zenon_intro zenon_He ]. % 1.33/1.49 apply (zenon_L215_); trivial. % 1.33/1.49 exact (zenon_Hd zenon_He). % 1.33/1.49 (* end of lemma zenon_L1210_ *) % 1.33/1.49 assert (zenon_L1211_ : ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> (~(hskp4)) -> (~(c2_1 (a14))) -> (c0_1 (a14)) -> (c3_1 (a14)) -> (~(c2_1 (a1))) -> (~(c0_1 (a1))) -> (c3_1 (a1)) -> (~(hskp19)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp17)) -> (~(hskp21)) -> ((hskp25)\/((hskp17)\/(hskp21))) -> False). % 1.33/1.49 do 0 intro. intros zenon_H167 zenon_H1a9 zenon_Hd zenon_H11f zenon_H120 zenon_H121 zenon_H2fd zenon_H2fb zenon_H304 zenon_H144 zenon_H14a zenon_H9 zenon_H12e zenon_H130. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H12c | zenon_intro zenon_H148 ]. % 1.33/1.49 apply (zenon_L81_); trivial. % 1.33/1.49 apply (zenon_L1186_); trivial. % 1.33/1.49 (* end of lemma zenon_L1211_ *) % 1.33/1.49 assert (zenon_L1212_ : ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> (~(hskp1)) -> (~(c3_1 (a32))) -> (~(c1_1 (a32))) -> (~(c0_1 (a32))) -> ((hskp25)\/((hskp17)\/(hskp21))) -> (~(hskp17)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp19)) -> (c3_1 (a1)) -> (~(c0_1 (a1))) -> (~(c2_1 (a1))) -> (c3_1 (a14)) -> (c0_1 (a14)) -> (~(c2_1 (a14))) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> False). % 1.33/1.49 do 0 intro. intros zenon_H166 zenon_H162 zenon_Hde zenon_H151 zenon_H150 zenon_H14f zenon_H130 zenon_H9 zenon_H14a zenon_H144 zenon_H304 zenon_H2fb zenon_H2fd zenon_H121 zenon_H120 zenon_H11f zenon_Hd zenon_H1a9 zenon_H167. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H12e | zenon_intro zenon_H161 ]. % 1.33/1.49 apply (zenon_L1211_); trivial. % 1.33/1.49 apply (zenon_L89_); trivial. % 1.33/1.49 (* end of lemma zenon_L1212_ *) % 1.33/1.49 assert (zenon_L1213_ : ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> (c2_1 (a18)) -> (c0_1 (a18)) -> (~(c3_1 (a18))) -> (~(c1_1 (a19))) -> (~(c3_1 (a19))) -> (c2_1 (a19)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> (~(hskp4)) -> (~(c2_1 (a1))) -> (~(c0_1 (a1))) -> (c3_1 (a1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((hskp25)\/((hskp17)\/(hskp21))) -> (~(hskp1)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> (ndr1_0) -> (~(c2_1 (a14))) -> (c0_1 (a14)) -> (c3_1 (a14)) -> (~(hskp17)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> False). % 1.33/1.49 do 0 intro. intros zenon_H17a zenon_H17b zenon_H1da zenon_H177 zenon_H95 zenon_H1c6 zenon_Hc2 zenon_He0 zenon_Hc1 zenon_Hae zenon_Haf zenon_Hb0 zenon_Hd3 zenon_H1c1 zenon_H167 zenon_H1a9 zenon_Hd zenon_H2fd zenon_H2fb zenon_H304 zenon_H14a zenon_H130 zenon_Hde zenon_H162 zenon_H166 zenon_H1a zenon_H11f zenon_H120 zenon_H121 zenon_H9 zenon_H12a. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H128 | zenon_intro zenon_H17c ]. % 1.33/1.49 apply (zenon_L78_); trivial. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H17c). zenon_intro zenon_H1a. zenon_intro zenon_H17d. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H14f. zenon_intro zenon_H17e. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_H150. zenon_intro zenon_H151. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.33/1.49 apply (zenon_L1212_); trivial. % 1.33/1.49 apply (zenon_L302_); trivial. % 1.33/1.49 (* end of lemma zenon_L1213_ *) % 1.33/1.49 assert (zenon_L1214_ : ((ndr1_0)/\((c2_1 (a24))/\((~(c0_1 (a24)))/\(~(c1_1 (a24)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> (c3_1 (a14)) -> (c0_1 (a14)) -> (~(c2_1 (a14))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> (~(hskp1)) -> ((hskp25)\/((hskp17)\/(hskp21))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c3_1 (a1)) -> (~(c0_1 (a1))) -> (~(c2_1 (a1))) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (c2_1 (a19)) -> (~(c3_1 (a19))) -> (~(c1_1 (a19))) -> (~(c3_1 (a18))) -> (c0_1 (a18)) -> (c2_1 (a18)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> False). % 1.33/1.49 do 0 intro. intros zenon_H10d zenon_H9c zenon_H1ee zenon_H1c2 zenon_H12a zenon_H121 zenon_H120 zenon_H11f zenon_H166 zenon_H162 zenon_Hde zenon_H130 zenon_H14a zenon_H304 zenon_H2fb zenon_H2fd zenon_Hd zenon_H1a9 zenon_H167 zenon_H1c1 zenon_Hd3 zenon_Hb0 zenon_Haf zenon_Hae zenon_Hc1 zenon_He0 zenon_Hc2 zenon_H1c6 zenon_H95 zenon_H177 zenon_H1da zenon_H17b zenon_H17a. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_H1a. zenon_intro zenon_H10f. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H104. zenon_intro zenon_H110. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_H102. zenon_intro zenon_H103. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.33/1.49 apply (zenon_L1213_); trivial. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.33/1.49 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.33/1.49 apply (zenon_L1192_); trivial. % 1.33/1.49 apply (zenon_L313_); trivial. % 1.33/1.49 (* end of lemma zenon_L1214_ *) % 1.33/1.49 assert (zenon_L1215_ : ((ndr1_0)/\((c2_1 (a19))/\((~(c1_1 (a19)))/\(~(c3_1 (a19)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a24))/\((~(c0_1 (a24)))/\(~(c1_1 (a24))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> (~(hskp1)) -> ((hskp25)\/((hskp17)\/(hskp21))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(c3_1 (a18))) -> (c0_1 (a18)) -> (c2_1 (a18)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> (c3_1 (a1)) -> (~(c0_1 (a1))) -> (~(c2_1 (a1))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c3_1 W)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((hskp2)\/(hskp14))) -> (~(hskp2)) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (~(c2_1 (a16))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> (c3_1 (a14)) -> (c0_1 (a14)) -> (~(c2_1 (a14))) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> False). % 1.33/1.49 do 0 intro. intros zenon_He5 zenon_H112 zenon_H9c zenon_H12a zenon_H166 zenon_H162 zenon_Hde zenon_H130 zenon_H14a zenon_H95 zenon_H177 zenon_H17b zenon_H17a zenon_H1c1 zenon_Hd3 zenon_Hc1 zenon_He0 zenon_Hc2 zenon_H1c6 zenon_H1ee zenon_H304 zenon_H2fb zenon_H2fd zenon_H1c2 zenon_H277 zenon_H113 zenon_Hfe zenon_Heb zenon_Hea zenon_He9 zenon_H1f0 zenon_H121 zenon_H120 zenon_H11f zenon_Hd zenon_H1a9 zenon_H167 zenon_H1da. % 1.33/1.49 apply (zenon_and_s _ _ zenon_He5). zenon_intro zenon_H1a. zenon_intro zenon_He6. % 1.33/1.49 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_Hb0. zenon_intro zenon_He7. % 1.33/1.49 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hae. zenon_intro zenon_Haf. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_H100 | zenon_intro zenon_H10d ]. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.33/1.49 apply (zenon_L279_); trivial. % 1.33/1.49 apply (zenon_L1210_); trivial. % 1.33/1.49 apply (zenon_L1214_); trivial. % 1.33/1.49 (* end of lemma zenon_L1215_ *) % 1.33/1.49 assert (zenon_L1216_ : ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp10)) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (c0_1 (a15)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> (~(hskp4)) -> (~(c2_1 (a1))) -> (~(c0_1 (a1))) -> (c3_1 (a1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((hskp25)\/((hskp17)\/(hskp21))) -> (~(hskp1)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> (ndr1_0) -> (~(c2_1 (a14))) -> (c0_1 (a14)) -> (c3_1 (a14)) -> (~(hskp17)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> False). % 1.33/1.49 do 0 intro. intros zenon_H17a zenon_H17b zenon_H177 zenon_H43 zenon_H2d zenon_H115 zenon_H116 zenon_H117 zenon_H167 zenon_H1a9 zenon_Hd zenon_H2fd zenon_H2fb zenon_H304 zenon_H14a zenon_H130 zenon_Hde zenon_H162 zenon_H166 zenon_H1a zenon_H11f zenon_H120 zenon_H121 zenon_H9 zenon_H12a. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H128 | zenon_intro zenon_H17c ]. % 1.33/1.49 apply (zenon_L78_); trivial. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H17c). zenon_intro zenon_H1a. zenon_intro zenon_H17d. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H14f. zenon_intro zenon_H17e. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_H150. zenon_intro zenon_H151. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.33/1.49 apply (zenon_L1212_); trivial. % 1.33/1.49 apply (zenon_L791_); trivial. % 1.33/1.49 (* end of lemma zenon_L1216_ *) % 1.33/1.49 assert (zenon_L1217_ : ((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (c3_1 (a1)) -> (~(c0_1 (a1))) -> (~(hskp10)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> (c0_1 (a15)) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> (~(hskp4)) -> False). % 1.33/1.49 do 0 intro. intros zenon_H9e zenon_H1a9 zenon_H43 zenon_H304 zenon_H2fb zenon_H2d zenon_H42 zenon_H117 zenon_H116 zenon_H115 zenon_Hd. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.33/1.49 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H1aa ]. % 1.33/1.49 apply (zenon_L1162_); trivial. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_Hf2 | zenon_intro zenon_He ]. % 1.33/1.49 apply (zenon_L73_); trivial. % 1.33/1.49 exact (zenon_Hd zenon_He). % 1.33/1.49 (* end of lemma zenon_L1217_ *) % 1.33/1.49 assert (zenon_L1218_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> (c3_1 (a14)) -> (c0_1 (a14)) -> (~(c2_1 (a14))) -> (ndr1_0) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> (~(hskp1)) -> ((hskp25)\/((hskp17)\/(hskp21))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c3_1 (a1)) -> (~(c0_1 (a1))) -> (~(c2_1 (a1))) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> (c0_1 (a15)) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> (~(hskp10)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> False). % 1.33/1.49 do 0 intro. intros zenon_H9c zenon_H42 zenon_H12a zenon_H121 zenon_H120 zenon_H11f zenon_H1a zenon_H166 zenon_H162 zenon_Hde zenon_H130 zenon_H14a zenon_H304 zenon_H2fb zenon_H2fd zenon_Hd zenon_H1a9 zenon_H167 zenon_H117 zenon_H116 zenon_H115 zenon_H2d zenon_H43 zenon_H177 zenon_H17b zenon_H17a. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.33/1.49 apply (zenon_L1216_); trivial. % 1.33/1.49 apply (zenon_L1217_); trivial. % 1.33/1.49 (* end of lemma zenon_L1218_ *) % 1.33/1.49 assert (zenon_L1219_ : ((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp19)) -> (~(c3_1 (a18))) -> (c2_1 (a18)) -> (c0_1 (a18)) -> (c3_1 (a1)) -> (~(c0_1 (a1))) -> (~(c2_1 (a1))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (c0_1 (a15)) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> (~(hskp4)) -> False). % 1.33/1.49 do 0 intro. intros zenon_H1be zenon_H1a9 zenon_H14a zenon_H144 zenon_Hc1 zenon_Hc2 zenon_He0 zenon_H304 zenon_H2fb zenon_H2fd zenon_Hd3 zenon_H117 zenon_H116 zenon_H115 zenon_Hd. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H1a. zenon_intro zenon_H1bf. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H1bf). zenon_intro zenon_H1b5. zenon_intro zenon_H1c0. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H1c0). zenon_intro zenon_H1b6. zenon_intro zenon_H1b7. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H1aa ]. % 1.33/1.49 apply (zenon_L1171_); trivial. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_Hf2 | zenon_intro zenon_He ]. % 1.33/1.49 apply (zenon_L73_); trivial. % 1.33/1.49 exact (zenon_Hd zenon_He). % 1.33/1.49 (* end of lemma zenon_L1219_ *) % 1.33/1.49 assert (zenon_L1220_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> (~(hskp4)) -> (c0_1 (a15)) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp19)) -> (c3_1 (a1)) -> (~(c0_1 (a1))) -> (~(c2_1 (a1))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (ndr1_0) -> (~(c3_1 (a18))) -> (c0_1 (a18)) -> (c2_1 (a18)) -> (~(hskp20)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> False). % 1.33/1.49 do 0 intro. intros zenon_H1c1 zenon_H1a9 zenon_Hd zenon_H117 zenon_H116 zenon_H115 zenon_H14a zenon_H144 zenon_H304 zenon_H2fb zenon_H2fd zenon_Hd3 zenon_H1a zenon_Hc1 zenon_He0 zenon_Hc2 zenon_H1c4 zenon_H1c6. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1be ]. % 1.33/1.49 apply (zenon_L197_); trivial. % 1.33/1.49 apply (zenon_L1219_); trivial. % 1.33/1.49 (* end of lemma zenon_L1220_ *) % 1.33/1.49 assert (zenon_L1221_ : ((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> (~(hskp19)) -> (~(c2_1 (a1))) -> (~(c0_1 (a1))) -> (c3_1 (a1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c0_1 (a15)) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> (~(hskp4)) -> False). % 1.33/1.49 do 0 intro. intros zenon_H148 zenon_H1a9 zenon_H144 zenon_H2fd zenon_H2fb zenon_H304 zenon_H14a zenon_H117 zenon_H116 zenon_H115 zenon_Hd. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H1a. zenon_intro zenon_H14b. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H13b. zenon_intro zenon_H14c. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H14c). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H1aa ]. % 1.33/1.49 apply (zenon_L1165_); trivial. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_Hf2 | zenon_intro zenon_He ]. % 1.33/1.49 apply (zenon_L73_); trivial. % 1.33/1.49 exact (zenon_Hd zenon_He). % 1.33/1.49 (* end of lemma zenon_L1221_ *) % 1.33/1.49 assert (zenon_L1222_ : ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> (~(hskp4)) -> (c0_1 (a15)) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> (~(c2_1 (a1))) -> (~(c0_1 (a1))) -> (c3_1 (a1)) -> (~(hskp19)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp17)) -> (~(hskp21)) -> ((hskp25)\/((hskp17)\/(hskp21))) -> False). % 1.33/1.49 do 0 intro. intros zenon_H167 zenon_H1a9 zenon_Hd zenon_H117 zenon_H116 zenon_H115 zenon_H2fd zenon_H2fb zenon_H304 zenon_H144 zenon_H14a zenon_H9 zenon_H12e zenon_H130. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H12c | zenon_intro zenon_H148 ]. % 1.33/1.49 apply (zenon_L81_); trivial. % 1.33/1.49 apply (zenon_L1221_); trivial. % 1.33/1.49 (* end of lemma zenon_L1222_ *) % 1.33/1.49 assert (zenon_L1223_ : ((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (c2_1 (a24)) -> (~(c1_1 (a24))) -> (~(c0_1 (a24))) -> (c1_1 (a37)) -> (~(c3_1 (a37))) -> (~(c0_1 (a37))) -> False). % 1.33/1.49 do 0 intro. intros zenon_H161 zenon_H95 zenon_H104 zenon_H103 zenon_H102 zenon_H1d0 zenon_H1cf zenon_H1ce. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H161). zenon_intro zenon_H1a. zenon_intro zenon_H163. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H159. zenon_intro zenon_H164. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H15a. zenon_intro zenon_H158. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H65 | zenon_intro zenon_H96 ]. % 1.33/1.49 apply (zenon_L69_); trivial. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H7f | zenon_intro zenon_H31 ]. % 1.33/1.49 apply (zenon_L144_); trivial. % 1.33/1.49 apply (zenon_L88_); trivial. % 1.33/1.49 (* end of lemma zenon_L1223_ *) % 1.33/1.49 assert (zenon_L1224_ : ((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (c2_1 (a24)) -> (~(c1_1 (a24))) -> (~(c0_1 (a24))) -> ((hskp25)\/((hskp17)\/(hskp21))) -> (~(hskp17)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp19)) -> (c3_1 (a1)) -> (~(c0_1 (a1))) -> (~(c2_1 (a1))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (c0_1 (a15)) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> False). % 1.33/1.49 do 0 intro. intros zenon_H1d7 zenon_H166 zenon_H95 zenon_H104 zenon_H103 zenon_H102 zenon_H130 zenon_H9 zenon_H14a zenon_H144 zenon_H304 zenon_H2fb zenon_H2fd zenon_H115 zenon_H116 zenon_H117 zenon_Hd zenon_H1a9 zenon_H167. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H1a. zenon_intro zenon_H1d8. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1d0. zenon_intro zenon_H1d9. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1ce. zenon_intro zenon_H1cf. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H12e | zenon_intro zenon_H161 ]. % 1.33/1.49 apply (zenon_L1222_); trivial. % 1.33/1.49 apply (zenon_L1223_); trivial. % 1.33/1.49 (* end of lemma zenon_L1224_ *) % 1.33/1.49 assert (zenon_L1225_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (c2_1 (a24)) -> (~(c1_1 (a24))) -> (~(c0_1 (a24))) -> ((hskp25)\/((hskp17)\/(hskp21))) -> (~(hskp17)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> (c2_1 (a18)) -> (c0_1 (a18)) -> (~(c3_1 (a18))) -> (ndr1_0) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(c2_1 (a1))) -> (~(c0_1 (a1))) -> (c3_1 (a1)) -> (~(hskp19)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (c0_1 (a15)) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> False). % 1.33/1.49 do 0 intro. intros zenon_H1da zenon_H166 zenon_H95 zenon_H104 zenon_H103 zenon_H102 zenon_H130 zenon_H9 zenon_H167 zenon_H1c6 zenon_Hc2 zenon_He0 zenon_Hc1 zenon_H1a zenon_Hd3 zenon_H2fd zenon_H2fb zenon_H304 zenon_H144 zenon_H14a zenon_H115 zenon_H116 zenon_H117 zenon_Hd zenon_H1a9 zenon_H1c1. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.33/1.49 apply (zenon_L1220_); trivial. % 1.33/1.49 apply (zenon_L1224_); trivial. % 1.33/1.49 (* end of lemma zenon_L1225_ *) % 1.33/1.49 assert (zenon_L1226_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp11)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> (~(hskp4)) -> (c0_1 (a15)) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c3_1 (a1)) -> (~(c0_1 (a1))) -> (~(c2_1 (a1))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (ndr1_0) -> (~(c3_1 (a18))) -> (c0_1 (a18)) -> (c2_1 (a18)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> (~(hskp17)) -> ((hskp25)\/((hskp17)\/(hskp21))) -> (~(c0_1 (a24))) -> (~(c1_1 (a24))) -> (c2_1 (a24)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> False). % 1.33/1.49 do 0 intro. intros zenon_H17b zenon_H93 zenon_H91 zenon_H1c1 zenon_H1a9 zenon_Hd zenon_H117 zenon_H116 zenon_H115 zenon_H14a zenon_H304 zenon_H2fb zenon_H2fd zenon_Hd3 zenon_H1a zenon_Hc1 zenon_He0 zenon_Hc2 zenon_H1c6 zenon_H167 zenon_H9 zenon_H130 zenon_H102 zenon_H103 zenon_H104 zenon_H95 zenon_H166 zenon_H1da. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.33/1.49 apply (zenon_L1225_); trivial. % 1.33/1.49 apply (zenon_L153_); trivial. % 1.33/1.49 (* end of lemma zenon_L1226_ *) % 1.33/1.49 assert (zenon_L1227_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp19)) -> (~(c3_1 (a18))) -> (c2_1 (a18)) -> (c0_1 (a18)) -> (c3_1 (a1)) -> (~(c0_1 (a1))) -> (~(c2_1 (a1))) -> (~(c1_1 (a31))) -> (c0_1 (a31)) -> (c2_1 (a31)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (ndr1_0) -> (~(c0_1 (a37))) -> (~(c3_1 (a37))) -> (~(hskp25)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (c0_1 (a15)) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> False). % 1.33/1.49 do 0 intro. intros zenon_H1c1 zenon_H1ee zenon_H14a zenon_H144 zenon_Hc1 zenon_Hc2 zenon_He0 zenon_H304 zenon_H2fb zenon_H2fd zenon_H32 zenon_H3c zenon_H33 zenon_Hd3 zenon_H1a zenon_H1ce zenon_H1cf zenon_H12c zenon_H1c2 zenon_H115 zenon_H116 zenon_H117 zenon_Hd zenon_H1a9. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1be ]. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H1aa ]. % 1.33/1.49 apply (zenon_L1175_); trivial. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_Hf2 | zenon_intro zenon_He ]. % 1.33/1.49 apply (zenon_L73_); trivial. % 1.33/1.49 exact (zenon_Hd zenon_He). % 1.33/1.49 apply (zenon_L1219_); trivial. % 1.33/1.49 (* end of lemma zenon_L1227_ *) % 1.33/1.49 assert (zenon_L1228_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> (c2_1 (a31)) -> (c0_1 (a31)) -> (~(c1_1 (a31))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> (c2_1 (a18)) -> (c0_1 (a18)) -> (~(c3_1 (a18))) -> (ndr1_0) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(c2_1 (a1))) -> (~(c0_1 (a1))) -> (c3_1 (a1)) -> (~(hskp19)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (c0_1 (a15)) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> False). % 1.33/1.49 do 0 intro. intros zenon_H1da zenon_H167 zenon_H1c2 zenon_H33 zenon_H3c zenon_H32 zenon_H1ee zenon_H1c6 zenon_Hc2 zenon_He0 zenon_Hc1 zenon_H1a zenon_Hd3 zenon_H2fd zenon_H2fb zenon_H304 zenon_H144 zenon_H14a zenon_H115 zenon_H116 zenon_H117 zenon_Hd zenon_H1a9 zenon_H1c1. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.33/1.49 apply (zenon_L1220_); trivial. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H1a. zenon_intro zenon_H1d8. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1d0. zenon_intro zenon_H1d9. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1ce. zenon_intro zenon_H1cf. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H12c | zenon_intro zenon_H148 ]. % 1.33/1.49 apply (zenon_L1227_); trivial. % 1.33/1.49 apply (zenon_L1221_); trivial. % 1.33/1.49 (* end of lemma zenon_L1228_ *) % 1.33/1.49 assert (zenon_L1229_ : ((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp11)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> (~(hskp4)) -> (c0_1 (a15)) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c3_1 (a1)) -> (~(c0_1 (a1))) -> (~(c2_1 (a1))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(c3_1 (a18))) -> (c0_1 (a18)) -> (c2_1 (a18)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> False). % 1.33/1.49 do 0 intro. intros zenon_H9e zenon_H17b zenon_H93 zenon_H91 zenon_H1c1 zenon_H1a9 zenon_Hd zenon_H117 zenon_H116 zenon_H115 zenon_H14a zenon_H304 zenon_H2fb zenon_H2fd zenon_Hd3 zenon_Hc1 zenon_He0 zenon_Hc2 zenon_H1c6 zenon_H1ee zenon_H1c2 zenon_H167 zenon_H1da. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.33/1.49 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.33/1.49 apply (zenon_L1228_); trivial. % 1.33/1.49 apply (zenon_L153_); trivial. % 1.33/1.49 (* end of lemma zenon_L1229_ *) % 1.33/1.49 assert (zenon_L1230_ : ((~(hskp14))\/((ndr1_0)/\((c2_1 (a24))/\((~(c0_1 (a24)))/\(~(c1_1 (a24))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((hskp25)\/((hskp17)\/(hskp21))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> (c2_1 (a18)) -> (c0_1 (a18)) -> (~(c3_1 (a18))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(c2_1 (a1))) -> (~(c0_1 (a1))) -> (c3_1 (a1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> (~(hskp11)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> (ndr1_0) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (c0_1 (a15)) -> (~(hskp2)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((hskp2)\/(hskp14))) -> False). % 1.33/1.49 do 0 intro. intros zenon_H112 zenon_H9c zenon_H1ee zenon_H1c2 zenon_H1da zenon_H166 zenon_H95 zenon_H130 zenon_H167 zenon_H1c6 zenon_Hc2 zenon_He0 zenon_Hc1 zenon_Hd3 zenon_H2fd zenon_H2fb zenon_H304 zenon_H14a zenon_Hd zenon_H1a9 zenon_H1c1 zenon_H91 zenon_H93 zenon_H17b zenon_H1a zenon_H115 zenon_H116 zenon_H117 zenon_Hfe zenon_H113. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_H100 | zenon_intro zenon_H10d ]. % 1.33/1.49 apply (zenon_L74_); trivial. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_H1a. zenon_intro zenon_H10f. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H104. zenon_intro zenon_H110. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_H102. zenon_intro zenon_H103. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.33/1.49 apply (zenon_L1226_); trivial. % 1.33/1.49 apply (zenon_L1229_); trivial. % 1.33/1.49 (* end of lemma zenon_L1230_ *) % 1.33/1.49 assert (zenon_L1231_ : ((ndr1_0)/\((c2_1 (a19))/\((~(c1_1 (a19)))/\(~(c3_1 (a19)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a24))/\((~(c0_1 (a24)))/\(~(c1_1 (a24))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> (c3_1 (a14)) -> (c0_1 (a14)) -> (~(c2_1 (a14))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> (~(hskp1)) -> ((hskp25)\/((hskp17)\/(hskp21))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c3_1 (a1)) -> (~(c0_1 (a1))) -> (~(c2_1 (a1))) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(c3_1 (a18))) -> (c0_1 (a18)) -> (c2_1 (a18)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (c0_1 (a15)) -> (~(hskp2)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((hskp2)\/(hskp14))) -> False). % 1.33/1.49 do 0 intro. intros zenon_He5 zenon_H112 zenon_H9c zenon_H1ee zenon_H1c2 zenon_H12a zenon_H121 zenon_H120 zenon_H11f zenon_H166 zenon_H162 zenon_Hde zenon_H130 zenon_H14a zenon_H304 zenon_H2fb zenon_H2fd zenon_Hd zenon_H1a9 zenon_H167 zenon_H1c1 zenon_Hd3 zenon_Hc1 zenon_He0 zenon_Hc2 zenon_H1c6 zenon_H95 zenon_H177 zenon_H1da zenon_H17b zenon_H17a zenon_H115 zenon_H116 zenon_H117 zenon_Hfe zenon_H113. % 1.33/1.49 apply (zenon_and_s _ _ zenon_He5). zenon_intro zenon_H1a. zenon_intro zenon_He6. % 1.33/1.49 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_Hb0. zenon_intro zenon_He7. % 1.33/1.49 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hae. zenon_intro zenon_Haf. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_H100 | zenon_intro zenon_H10d ]. % 1.33/1.49 apply (zenon_L74_); trivial. % 1.33/1.49 apply (zenon_L1214_); trivial. % 1.33/1.49 (* end of lemma zenon_L1231_ *) % 1.33/1.49 assert (zenon_L1232_ : ((ndr1_0)/\((c0_1 (a15))/\((~(c1_1 (a15)))/\(~(c2_1 (a15)))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a18))/\((c2_1 (a18))/\(~(c3_1 (a18))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a19))/\((~(c1_1 (a19)))/\(~(c3_1 (a19))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((hskp2)\/(hskp14))) -> (~(hskp2)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a24))/\((~(c0_1 (a24)))/\(~(c1_1 (a24))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> (~(hskp4)) -> (~(c2_1 (a1))) -> (~(c0_1 (a1))) -> (c3_1 (a1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((hskp25)\/((hskp17)\/(hskp21))) -> (~(hskp1)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> (~(c2_1 (a14))) -> (c0_1 (a14)) -> (c3_1 (a14)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> False). % 1.33/1.49 do 0 intro. intros zenon_H20e zenon_H212 zenon_H213 zenon_H113 zenon_Hfe zenon_H93 zenon_H1c1 zenon_Hd3 zenon_H1c6 zenon_H95 zenon_H1da zenon_H1c2 zenon_H1ee zenon_H112 zenon_H17a zenon_H17b zenon_H177 zenon_H43 zenon_H167 zenon_H1a9 zenon_Hd zenon_H2fd zenon_H2fb zenon_H304 zenon_H14a zenon_H130 zenon_Hde zenon_H162 zenon_H166 zenon_H11f zenon_H120 zenon_H121 zenon_H12a zenon_H42 zenon_H9c. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H20e). zenon_intro zenon_H1a. zenon_intro zenon_H20f. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H20f). zenon_intro zenon_H117. zenon_intro zenon_H210. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H210). zenon_intro zenon_H115. zenon_intro zenon_H116. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H2d | zenon_intro zenon_H217 ]. % 1.33/1.49 apply (zenon_L1218_); trivial. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H1a. zenon_intro zenon_H218. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_He0. zenon_intro zenon_H219. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_Hc2. zenon_intro zenon_Hc1. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H91 | zenon_intro zenon_He5 ]. % 1.33/1.49 apply (zenon_L1230_); trivial. % 1.33/1.49 apply (zenon_L1231_); trivial. % 1.33/1.49 (* end of lemma zenon_L1232_ *) % 1.33/1.49 assert (zenon_L1233_ : ((~(hskp13))\/((ndr1_0)/\((~(c0_1 (a22)))/\((~(c2_1 (a22)))/\(~(c3_1 (a22))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c3_1 W)))))))) -> (~(c0_1 (a1))) -> (~(c2_1 (a1))) -> (c3_1 (a1)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp8)\/(hskp9))) -> (~(hskp8)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (~(c2_1 (a6))) -> ((hskp25)\/((hskp17)\/(hskp21))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> (~(hskp10)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> (~(hskp1)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> (~(hskp7)) -> (~(hskp9)) -> ((hskp7)\/((hskp9)\/(hskp13))) -> False). % 1.33/1.49 do 0 intro. intros zenon_H287 zenon_H9c zenon_H1ee zenon_H17b zenon_H277 zenon_H2fb zenon_H2fd zenon_H304 zenon_H1a3 zenon_Hb zenon_H167 zenon_H14a zenon_H256 zenon_H255 zenon_H254 zenon_H130 zenon_H12a zenon_H2d zenon_H43 zenon_H166 zenon_H162 zenon_Hde zenon_H177 zenon_H17a zenon_H1 zenon_H3 zenon_H7. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H5 | zenon_intro zenon_H284 ]. % 1.33/1.49 apply (zenon_L4_); trivial. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H284). zenon_intro zenon_H1a. zenon_intro zenon_H285. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_H80. zenon_intro zenon_H286. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H286). zenon_intro zenon_H89. zenon_intro zenon_H81. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H128 | zenon_intro zenon_H17c ]. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.33/1.49 apply (zenon_L324_); trivial. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1a. zenon_intro zenon_H178. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H16a. zenon_intro zenon_H179. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H171. zenon_intro zenon_H168. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H4b | zenon_intro zenon_H278 ]. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H43); [ zenon_intro zenon_H1b | zenon_intro zenon_H47 ]. % 1.33/1.49 apply (zenon_L1148_); trivial. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H47); [ zenon_intro zenon_H31 | zenon_intro zenon_H2e ]. % 1.33/1.49 apply (zenon_L1037_); trivial. % 1.33/1.49 exact (zenon_H2d zenon_H2e). % 1.33/1.49 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H1e7 | zenon_intro zenon_H69 ]. % 1.33/1.49 apply (zenon_L221_); trivial. % 1.33/1.49 apply (zenon_L1151_); trivial. % 1.33/1.49 apply (zenon_L327_); trivial. % 1.33/1.49 apply (zenon_L1152_); trivial. % 1.33/1.49 (* end of lemma zenon_L1233_ *) % 1.33/1.49 assert (zenon_L1234_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c3_1 W)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> (c2_1 (a31)) -> (c0_1 (a31)) -> (~(c1_1 (a31))) -> (~(c2_1 (a1))) -> (~(c0_1 (a1))) -> (c3_1 (a1)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> (c2_1 (a18)) -> (c0_1 (a18)) -> (~(c3_1 (a18))) -> (ndr1_0) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp19)) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (~(c2_1 (a6))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> False). % 1.33/1.49 do 0 intro. intros zenon_H1da zenon_H167 zenon_H277 zenon_H1c2 zenon_H33 zenon_H3c zenon_H32 zenon_H2fd zenon_H2fb zenon_H304 zenon_H1ee zenon_H1c6 zenon_Hc2 zenon_He0 zenon_Hc1 zenon_H1a zenon_H14a zenon_H144 zenon_H256 zenon_H255 zenon_H254 zenon_Hd3 zenon_H1c1. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.33/1.49 apply (zenon_L339_); trivial. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H1a. zenon_intro zenon_H1d8. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1d0. zenon_intro zenon_H1d9. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1ce. zenon_intro zenon_H1cf. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H12c | zenon_intro zenon_H148 ]. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1be ]. % 1.33/1.49 apply (zenon_L1163_); trivial. % 1.33/1.49 apply (zenon_L338_); trivial. % 1.33/1.49 apply (zenon_L319_); trivial. % 1.33/1.49 (* end of lemma zenon_L1234_ *) % 1.33/1.49 assert (zenon_L1235_ : ((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp11)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(c3_1 (a18))) -> (c0_1 (a18)) -> (c2_1 (a18)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> (c3_1 (a1)) -> (~(c0_1 (a1))) -> (~(c2_1 (a1))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c3_1 W)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> False). % 1.33/1.49 do 0 intro. intros zenon_H9e zenon_H17b zenon_H93 zenon_H91 zenon_H1c1 zenon_Hd3 zenon_H254 zenon_H255 zenon_H256 zenon_H14a zenon_Hc1 zenon_He0 zenon_Hc2 zenon_H1c6 zenon_H1ee zenon_H304 zenon_H2fb zenon_H2fd zenon_H1c2 zenon_H277 zenon_H167 zenon_H1da. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.33/1.49 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.33/1.49 apply (zenon_L1234_); trivial. % 1.33/1.49 apply (zenon_L153_); trivial. % 1.33/1.49 (* end of lemma zenon_L1235_ *) % 1.33/1.49 assert (zenon_L1236_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> (c3_1 (a1)) -> (~(c0_1 (a1))) -> (~(c2_1 (a1))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c3_1 W)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((hskp25)\/((hskp17)\/(hskp21))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> (c2_1 (a18)) -> (c0_1 (a18)) -> (~(c3_1 (a18))) -> (ndr1_0) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (~(c2_1 (a6))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> (~(hskp11)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> False). % 1.33/1.49 do 0 intro. intros zenon_H9c zenon_H1ee zenon_H304 zenon_H2fb zenon_H2fd zenon_H1c2 zenon_H277 zenon_H1da zenon_H166 zenon_H95 zenon_H130 zenon_H167 zenon_H1c6 zenon_Hc2 zenon_He0 zenon_Hc1 zenon_H1a zenon_H14a zenon_H256 zenon_H255 zenon_H254 zenon_Hd3 zenon_H1c1 zenon_H91 zenon_H93 zenon_H17b. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.33/1.49 apply (zenon_L392_); trivial. % 1.33/1.49 apply (zenon_L1235_); trivial. % 1.33/1.49 (* end of lemma zenon_L1236_ *) % 1.33/1.49 assert (zenon_L1237_ : ((ndr1_0)/\((c0_1 (a18))/\((c2_1 (a18))/\(~(c3_1 (a18)))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a19))/\((~(c1_1 (a19)))/\(~(c3_1 (a19))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(hskp7)) -> (~(hskp7)) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((hskp25)\/((hskp17)\/(hskp21))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c3_1 W)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> (~(c2_1 (a1))) -> (~(c0_1 (a1))) -> (c3_1 (a1)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> False). % 1.33/1.49 do 0 intro. intros zenon_H217 zenon_H213 zenon_Hb7 zenon_H1 zenon_H17b zenon_H93 zenon_H1c1 zenon_Hd3 zenon_H254 zenon_H255 zenon_H256 zenon_H14a zenon_H1c6 zenon_H167 zenon_H130 zenon_H95 zenon_H166 zenon_H1da zenon_H277 zenon_H1c2 zenon_H2fd zenon_H2fb zenon_H304 zenon_H1ee zenon_H9c. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H1a. zenon_intro zenon_H218. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_He0. zenon_intro zenon_H219. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_Hc2. zenon_intro zenon_Hc1. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H91 | zenon_intro zenon_He5 ]. % 1.33/1.49 apply (zenon_L1236_); trivial. % 1.33/1.49 apply (zenon_L62_); trivial. % 1.33/1.49 (* end of lemma zenon_L1237_ *) % 1.33/1.49 assert (zenon_L1238_ : ((~(hskp10))\/((ndr1_0)/\((c0_1 (a18))/\((c2_1 (a18))/\(~(c3_1 (a18))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a19))/\((~(c1_1 (a19)))/\(~(c3_1 (a19))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(hskp7)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((hskp7)\/((hskp9)\/(hskp13))) -> (~(hskp9)) -> (~(hskp7)) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> (~(hskp1)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> ((hskp25)\/((hskp17)\/(hskp21))) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> (~(hskp8)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp8)\/(hskp9))) -> (c3_1 (a1)) -> (~(c2_1 (a1))) -> (~(c0_1 (a1))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c3_1 W)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c0_1 (a22)))/\((~(c2_1 (a22)))/\(~(c3_1 (a22))))))) -> False). % 1.33/1.49 do 0 intro. intros zenon_H212 zenon_H213 zenon_Hb7 zenon_H93 zenon_H1c1 zenon_Hd3 zenon_H1c6 zenon_H95 zenon_H1da zenon_H1c2 zenon_H7 zenon_H3 zenon_H1 zenon_H17a zenon_H177 zenon_Hde zenon_H162 zenon_H166 zenon_H43 zenon_H12a zenon_H130 zenon_H254 zenon_H255 zenon_H256 zenon_H14a zenon_H167 zenon_Hb zenon_H1a3 zenon_H304 zenon_H2fd zenon_H2fb zenon_H277 zenon_H17b zenon_H1ee zenon_H9c zenon_H287. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H2d | zenon_intro zenon_H217 ]. % 1.33/1.49 apply (zenon_L1233_); trivial. % 1.33/1.49 apply (zenon_L1237_); trivial. % 1.33/1.49 (* end of lemma zenon_L1238_ *) % 1.33/1.49 assert (zenon_L1239_ : ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (~(c2_1 (a1))) -> (c3_1 (a1)) -> (~(c0_1 (a1))) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32)))))) -> (~(c2_1 (a6))) -> (ndr1_0) -> (~(hskp15)) -> False). % 1.33/1.49 do 0 intro. intros zenon_H149 zenon_H2fd zenon_H304 zenon_H2fb zenon_H256 zenon_H255 zenon_H1b zenon_H254 zenon_H1a zenon_H146. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H132 | zenon_intro zenon_H14d ]. % 1.33/1.49 apply (zenon_L1178_); trivial. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H11e | zenon_intro zenon_H147 ]. % 1.33/1.49 apply (zenon_L321_); trivial. % 1.33/1.49 exact (zenon_H146 zenon_H147). % 1.33/1.49 (* end of lemma zenon_L1239_ *) % 1.33/1.49 assert (zenon_L1240_ : ((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp15)) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> (~(c0_1 (a1))) -> (c3_1 (a1)) -> (~(c2_1 (a1))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (~(hskp10)) -> False). % 1.33/1.49 do 0 intro. intros zenon_H161 zenon_H43 zenon_H146 zenon_H254 zenon_H255 zenon_H256 zenon_H2fb zenon_H304 zenon_H2fd zenon_H149 zenon_H2d. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H161). zenon_intro zenon_H1a. zenon_intro zenon_H163. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H159. zenon_intro zenon_H164. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H15a. zenon_intro zenon_H158. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H43); [ zenon_intro zenon_H1b | zenon_intro zenon_H47 ]. % 1.33/1.49 apply (zenon_L1239_); trivial. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H47); [ zenon_intro zenon_H31 | zenon_intro zenon_H2e ]. % 1.33/1.49 apply (zenon_L88_); trivial. % 1.33/1.49 exact (zenon_H2d zenon_H2e). % 1.33/1.49 (* end of lemma zenon_L1240_ *) % 1.33/1.49 assert (zenon_L1241_ : ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp10)) -> (~(c0_1 (a1))) -> (c3_1 (a1)) -> (~(c2_1 (a1))) -> (~(hskp15)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> ((hskp25)\/((hskp17)\/(hskp21))) -> (~(hskp17)) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> (~(hskp19)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> False). % 1.33/1.49 do 0 intro. intros zenon_H166 zenon_H43 zenon_H2d zenon_H2fb zenon_H304 zenon_H2fd zenon_H146 zenon_H149 zenon_H130 zenon_H9 zenon_H254 zenon_H255 zenon_H256 zenon_H144 zenon_H14a zenon_H167. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H12e | zenon_intro zenon_H161 ]. % 1.33/1.49 apply (zenon_L320_); trivial. % 1.33/1.49 apply (zenon_L1240_); trivial. % 1.33/1.49 (* end of lemma zenon_L1241_ *) % 1.33/1.49 assert (zenon_L1242_ : ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp15)) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> (~(c0_1 (a1))) -> (c3_1 (a1)) -> (~(c2_1 (a1))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (c3_1 (a33)) -> (c2_1 (a33)) -> (~(c0_1 (a33))) -> (forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1)))))) -> (ndr1_0) -> (~(hskp10)) -> False). % 1.33/1.49 do 0 intro. intros zenon_H43 zenon_H146 zenon_H254 zenon_H255 zenon_H256 zenon_H2fb zenon_H304 zenon_H2fd zenon_H149 zenon_H171 zenon_H16a zenon_H168 zenon_Hd6 zenon_H1a zenon_H2d. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H43); [ zenon_intro zenon_H1b | zenon_intro zenon_H47 ]. % 1.33/1.49 apply (zenon_L1239_); trivial. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H47); [ zenon_intro zenon_H31 | zenon_intro zenon_H2e ]. % 1.33/1.49 apply (zenon_L92_); trivial. % 1.33/1.49 exact (zenon_H2d zenon_H2e). % 1.33/1.49 (* end of lemma zenon_L1242_ *) % 1.33/1.49 assert (zenon_L1243_ : ((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (~(hskp15)) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (~(c2_1 (a6))) -> (~(c2_1 (a1))) -> (c3_1 (a1)) -> (~(c0_1 (a1))) -> (~(hskp10)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(c3_1 (a32))) -> (~(c1_1 (a32))) -> (~(c0_1 (a32))) -> False). % 1.33/1.49 do 0 intro. intros zenon_H176 zenon_H177 zenon_H149 zenon_H146 zenon_H256 zenon_H255 zenon_H254 zenon_H2fd zenon_H304 zenon_H2fb zenon_H2d zenon_H43 zenon_H151 zenon_H150 zenon_H14f. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1a. zenon_intro zenon_H178. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H16a. zenon_intro zenon_H179. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H171. zenon_intro zenon_H168. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hd6 ]. % 1.33/1.49 apply (zenon_L87_); trivial. % 1.33/1.49 apply (zenon_L1242_); trivial. % 1.33/1.49 (* end of lemma zenon_L1243_ *) % 1.33/1.49 assert (zenon_L1244_ : ((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (~(c2_1 (a6))) -> (~(hskp17)) -> ((hskp25)\/((hskp17)\/(hskp21))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (~(hskp15)) -> (~(c2_1 (a1))) -> (c3_1 (a1)) -> (~(c0_1 (a1))) -> (~(hskp10)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> False). % 1.33/1.49 do 0 intro. intros zenon_H17c zenon_H17b zenon_H177 zenon_H167 zenon_H14a zenon_H256 zenon_H255 zenon_H254 zenon_H9 zenon_H130 zenon_H149 zenon_H146 zenon_H2fd zenon_H304 zenon_H2fb zenon_H2d zenon_H43 zenon_H166. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H17c). zenon_intro zenon_H1a. zenon_intro zenon_H17d. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H14f. zenon_intro zenon_H17e. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_H150. zenon_intro zenon_H151. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.33/1.49 apply (zenon_L1241_); trivial. % 1.33/1.49 apply (zenon_L1243_); trivial. % 1.33/1.49 (* end of lemma zenon_L1244_ *) % 1.33/1.49 assert (zenon_L1245_ : ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp10)) -> (~(c0_1 (a1))) -> (c3_1 (a1)) -> (~(c2_1 (a1))) -> (~(hskp15)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> ((hskp25)\/((hskp17)\/(hskp21))) -> (~(hskp17)) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a11))/\((c1_1 (a11))/\(c3_1 (a11)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((hskp2)\/(hskp14))) -> (~(hskp14)) -> (~(hskp2)) -> (~(c2_1 (a16))) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp27)\/(hskp26))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> False). % 1.33/1.49 do 0 intro. intros zenon_H17a zenon_H177 zenon_H166 zenon_H43 zenon_H2d zenon_H2fb zenon_H304 zenon_H2fd zenon_H146 zenon_H149 zenon_H130 zenon_H9 zenon_H254 zenon_H255 zenon_H256 zenon_H14a zenon_H167 zenon_H97 zenon_H113 zenon_H100 zenon_Hfe zenon_He9 zenon_Hea zenon_Heb zenon_Hfc zenon_H12a zenon_H1f2 zenon_H1c1 zenon_H17b. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H128 | zenon_intro zenon_H17c ]. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.33/1.49 apply (zenon_L1241_); trivial. % 1.33/1.49 apply (zenon_L356_); trivial. % 1.33/1.49 apply (zenon_L1244_); trivial. % 1.33/1.49 (* end of lemma zenon_L1245_ *) % 1.33/1.49 assert (zenon_L1246_ : ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp15)) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> (~(c0_1 (a1))) -> (c3_1 (a1)) -> (~(c2_1 (a1))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (~(hskp20)) -> (~(hskp26)) -> (ndr1_0) -> (~(c1_1 (a31))) -> (c2_1 (a31)) -> (c0_1 (a31)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> (~(hskp10)) -> False). % 1.33/1.49 do 0 intro. intros zenon_H43 zenon_H146 zenon_H254 zenon_H255 zenon_H256 zenon_H2fb zenon_H304 zenon_H2fd zenon_H149 zenon_H1c4 zenon_H1b3 zenon_H1a zenon_H32 zenon_H33 zenon_H3c zenon_H1c6 zenon_H2d. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H43); [ zenon_intro zenon_H1b | zenon_intro zenon_H47 ]. % 1.33/1.49 apply (zenon_L1239_); trivial. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H47); [ zenon_intro zenon_H31 | zenon_intro zenon_H2e ]. % 1.33/1.49 apply (zenon_L141_); trivial. % 1.33/1.49 exact (zenon_H2d zenon_H2e). % 1.33/1.49 (* end of lemma zenon_L1246_ *) % 1.33/1.49 assert (zenon_L1247_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((hskp2)\/(hskp14))) -> (~(hskp14)) -> (~(hskp2)) -> (~(c2_1 (a16))) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (~(hskp15)) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (~(c2_1 (a6))) -> (~(c2_1 (a1))) -> (c3_1 (a1)) -> (~(c0_1 (a1))) -> (ndr1_0) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> (~(hskp20)) -> (c0_1 (a31)) -> (c2_1 (a31)) -> (~(c1_1 (a31))) -> (~(hskp10)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> False). % 1.33/1.49 do 0 intro. intros zenon_H1c1 zenon_H113 zenon_H100 zenon_Hfe zenon_He9 zenon_Hea zenon_Heb zenon_Hfc zenon_H149 zenon_H146 zenon_H256 zenon_H255 zenon_H254 zenon_H2fd zenon_H304 zenon_H2fb zenon_H1a zenon_H1c6 zenon_H1c4 zenon_H3c zenon_H33 zenon_H32 zenon_H2d zenon_H43. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1be ]. % 1.33/1.49 apply (zenon_L1246_); trivial. % 1.33/1.49 apply (zenon_L174_); trivial. % 1.33/1.49 (* end of lemma zenon_L1247_ *) % 1.33/1.49 assert (zenon_L1248_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c3_1 W)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp27)\/(hskp26))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (~(c2_1 (a16))) -> (~(hskp2)) -> (~(hskp14)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((hskp2)\/(hskp14))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a11))/\((c1_1 (a11))/\(c3_1 (a11)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (~(c2_1 (a6))) -> ((hskp25)\/((hskp17)\/(hskp21))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (~(hskp15)) -> (~(c2_1 (a1))) -> (c3_1 (a1)) -> (~(c0_1 (a1))) -> (~(hskp10)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> False). % 1.33/1.49 do 0 intro. intros zenon_H9c zenon_H1da zenon_H1f0 zenon_H277 zenon_H1c2 zenon_H1ee zenon_H1c6 zenon_H17b zenon_H1c1 zenon_H1f2 zenon_H12a zenon_Hfc zenon_Heb zenon_Hea zenon_He9 zenon_Hfe zenon_H100 zenon_H113 zenon_H97 zenon_H167 zenon_H14a zenon_H256 zenon_H255 zenon_H254 zenon_H130 zenon_H149 zenon_H146 zenon_H2fd zenon_H304 zenon_H2fb zenon_H2d zenon_H43 zenon_H166 zenon_H177 zenon_H17a. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.33/1.49 apply (zenon_L1245_); trivial. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.33/1.49 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.33/1.49 apply (zenon_L1247_); trivial. % 1.33/1.49 apply (zenon_L1199_); trivial. % 1.33/1.49 (* end of lemma zenon_L1248_ *) % 1.33/1.49 assert (zenon_L1249_ : ((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp19)) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (~(c2_1 (a6))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c3_1 W)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp10)) -> (c0_1 (a31)) -> (c2_1 (a31)) -> (~(c1_1 (a31))) -> (c3_1 (a1)) -> (~(c2_1 (a1))) -> (~(c0_1 (a1))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (~(c2_1 (a16))) -> (~(hskp2)) -> (~(hskp14)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((hskp2)\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> False). % 1.33/1.49 do 0 intro. intros zenon_H1d7 zenon_H167 zenon_H14a zenon_H144 zenon_H256 zenon_H255 zenon_H254 zenon_H277 zenon_H1c2 zenon_H43 zenon_H2d zenon_H3c zenon_H33 zenon_H32 zenon_H304 zenon_H2fd zenon_H2fb zenon_H1ee zenon_Hfc zenon_Heb zenon_Hea zenon_He9 zenon_Hfe zenon_H100 zenon_H113 zenon_H1c1. % 1.37/1.49 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H1a. zenon_intro zenon_H1d8. % 1.37/1.49 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1d0. zenon_intro zenon_H1d9. % 1.37/1.49 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1ce. zenon_intro zenon_H1cf. % 1.37/1.49 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H12c | zenon_intro zenon_H148 ]. % 1.37/1.49 apply (zenon_L1198_); trivial. % 1.37/1.49 apply (zenon_L319_); trivial. % 1.37/1.49 (* end of lemma zenon_L1249_ *) % 1.37/1.49 assert (zenon_L1250_ : ((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c3_1 W)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (c3_1 (a33)) -> (c2_1 (a33)) -> (~(c0_1 (a33))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c2_1 (a31)) -> (c0_1 (a31)) -> (~(c1_1 (a31))) -> (c1_1 (a25)) -> (c0_1 (a25)) -> (~(c3_1 (a25))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(hskp11)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((hskp2)\/(hskp14))) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (~(c2_1 (a16))) -> (~(hskp2)) -> (~(hskp14)) -> (~(c0_1 (a37))) -> (~(c3_1 (a37))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> (~(c0_1 (a1))) -> (~(c2_1 (a1))) -> (c3_1 (a1)) -> False). % 1.37/1.49 do 0 intro. intros zenon_H148 zenon_H277 zenon_H93 zenon_H171 zenon_H16a zenon_H168 zenon_Hfc zenon_H33 zenon_H3c zenon_H32 zenon_H19a zenon_H18f zenon_H18e zenon_Hd3 zenon_H91 zenon_H1ee zenon_H113 zenon_Heb zenon_Hea zenon_He9 zenon_Hfe zenon_H100 zenon_H1ce zenon_H1cf zenon_H1f0 zenon_H2fb zenon_H2fd zenon_H304. % 1.37/1.49 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H1a. zenon_intro zenon_H14b. % 1.37/1.49 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H13b. zenon_intro zenon_H14c. % 1.37/1.49 apply (zenon_and_s _ _ zenon_H14c). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 1.37/1.49 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H4b | zenon_intro zenon_H278 ]. % 1.37/1.49 apply (zenon_or_s _ _ zenon_H1ee); [ zenon_intro zenon_H1e7 | zenon_intro zenon_H1ef ]. % 1.37/1.49 apply (zenon_L181_); trivial. % 1.37/1.49 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H3b | zenon_intro zenon_H6d ]. % 1.37/1.49 apply (zenon_L157_); trivial. % 1.37/1.49 apply (zenon_L1150_); trivial. % 1.37/1.49 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H1e7 | zenon_intro zenon_H69 ]. % 1.37/1.49 apply (zenon_L181_); trivial. % 1.37/1.49 apply (zenon_L1151_); trivial. % 1.37/1.49 (* end of lemma zenon_L1250_ *) % 1.37/1.49 assert (zenon_L1251_ : ((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp11)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((hskp2)\/(hskp14))) -> (~(hskp14)) -> (~(hskp2)) -> (~(c2_1 (a16))) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> (~(c3_1 (a25))) -> (c0_1 (a25)) -> (c1_1 (a25)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> (~(c0_1 (a1))) -> (~(c2_1 (a1))) -> (c3_1 (a1)) -> (~(hskp10)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c3_1 W)))))))) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> False). % 1.37/1.49 do 0 intro. intros zenon_H9e zenon_H17b zenon_H1f0 zenon_H93 zenon_H91 zenon_H1c1 zenon_H113 zenon_H100 zenon_Hfe zenon_He9 zenon_Hea zenon_Heb zenon_H1c6 zenon_H18e zenon_H18f zenon_H19a zenon_Hfc zenon_Hd3 zenon_H1ee zenon_H2fb zenon_H2fd zenon_H304 zenon_H2d zenon_H43 zenon_H1c2 zenon_H277 zenon_H254 zenon_H255 zenon_H256 zenon_H14a zenon_H167 zenon_H1da. % 1.37/1.49 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.37/1.49 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.37/1.49 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.37/1.49 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.37/1.49 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.37/1.49 apply (zenon_L380_); trivial. % 1.37/1.49 apply (zenon_L1249_); trivial. % 1.37/1.49 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1a. zenon_intro zenon_H178. % 1.37/1.49 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H16a. zenon_intro zenon_H179. % 1.37/1.49 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H171. zenon_intro zenon_H168. % 1.37/1.49 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.37/1.49 apply (zenon_L380_); trivial. % 1.37/1.49 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H1a. zenon_intro zenon_H1d8. % 1.37/1.49 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1d0. zenon_intro zenon_H1d9. % 1.37/1.49 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1ce. zenon_intro zenon_H1cf. % 1.37/1.49 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H12c | zenon_intro zenon_H148 ]. % 1.37/1.49 apply (zenon_L1198_); trivial. % 1.37/1.49 apply (zenon_L1250_); trivial. % 1.37/1.49 (* end of lemma zenon_L1251_ *) % 1.37/1.49 assert (zenon_L1252_ : ((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(~(c3_1 (a25)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> (~(c0_1 (a1))) -> (~(c2_1 (a1))) -> (c3_1 (a1)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c3_1 W)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp27)\/(hskp26))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((hskp2)\/(hskp14))) -> (~(hskp14)) -> (~(hskp2)) -> (~(c2_1 (a16))) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(hskp11)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a11))/\((c1_1 (a11))/\(c3_1 (a11)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (~(c2_1 (a6))) -> ((hskp25)\/((hskp17)\/(hskp21))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> (~(hskp10)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> (~(hskp1)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> False). % 1.37/1.49 do 0 intro. intros zenon_H19f zenon_H9c zenon_H1f0 zenon_H1c6 zenon_Hd3 zenon_H1ee zenon_H2fb zenon_H2fd zenon_H304 zenon_H1c2 zenon_H277 zenon_H1da zenon_H17b zenon_H1c1 zenon_H1f2 zenon_H113 zenon_H100 zenon_Hfe zenon_He9 zenon_Hea zenon_Heb zenon_Hfc zenon_H91 zenon_H93 zenon_H97 zenon_H167 zenon_H14a zenon_H256 zenon_H255 zenon_H254 zenon_H130 zenon_H12a zenon_H2d zenon_H43 zenon_H166 zenon_H162 zenon_Hde zenon_H177 zenon_H17a. % 1.37/1.49 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H1a. zenon_intro zenon_H1a0. % 1.37/1.49 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H18f. zenon_intro zenon_H1a1. % 1.37/1.49 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H19a. zenon_intro zenon_H18e. % 1.37/1.49 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.37/1.49 apply (zenon_L377_); trivial. % 1.37/1.49 apply (zenon_L1251_); trivial. % 1.37/1.49 (* end of lemma zenon_L1252_ *) % 1.37/1.49 assert (zenon_L1253_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(~(c3_1 (a25))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(hskp11)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> (~(hskp1)) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp10)) -> (~(c0_1 (a1))) -> (c3_1 (a1)) -> (~(c2_1 (a1))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> ((hskp25)\/((hskp17)\/(hskp21))) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a11))/\((c1_1 (a11))/\(c3_1 (a11)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((hskp2)\/(hskp14))) -> (~(hskp14)) -> (~(hskp2)) -> (~(c2_1 (a16))) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp27)\/(hskp26))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c3_1 W)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> False). % 1.37/1.49 do 0 intro. intros zenon_H1a2 zenon_Hd3 zenon_H91 zenon_H93 zenon_H162 zenon_Hde zenon_H17a zenon_H177 zenon_H166 zenon_H43 zenon_H2d zenon_H2fb zenon_H304 zenon_H2fd zenon_H149 zenon_H130 zenon_H254 zenon_H255 zenon_H256 zenon_H14a zenon_H167 zenon_H97 zenon_H113 zenon_H100 zenon_Hfe zenon_He9 zenon_Hea zenon_Heb zenon_Hfc zenon_H12a zenon_H1f2 zenon_H1c1 zenon_H17b zenon_H1c6 zenon_H1ee zenon_H1c2 zenon_H277 zenon_H1f0 zenon_H1da zenon_H9c. % 1.37/1.49 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H146 | zenon_intro zenon_H19f ]. % 1.37/1.49 apply (zenon_L1248_); trivial. % 1.37/1.49 apply (zenon_L1252_); trivial. % 1.37/1.49 (* end of lemma zenon_L1253_ *) % 1.37/1.49 assert (zenon_L1254_ : ((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (~(hskp15)) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (~(c2_1 (a6))) -> (~(c2_1 (a1))) -> (c3_1 (a1)) -> (~(c0_1 (a1))) -> (~(c0_1 (a24))) -> (~(c1_1 (a24))) -> (c2_1 (a24)) -> (~(hskp10)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> False). % 1.37/1.49 do 0 intro. intros zenon_H176 zenon_H177 zenon_H149 zenon_H146 zenon_H256 zenon_H255 zenon_H254 zenon_H2fd zenon_H304 zenon_H2fb zenon_H102 zenon_H103 zenon_H104 zenon_H2d zenon_H43. % 1.37/1.49 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1a. zenon_intro zenon_H178. % 1.37/1.49 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H16a. zenon_intro zenon_H179. % 1.37/1.49 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H171. zenon_intro zenon_H168. % 1.37/1.49 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hd6 ]. % 1.37/1.49 apply (zenon_or_s _ _ zenon_H43); [ zenon_intro zenon_H1b | zenon_intro zenon_H47 ]. % 1.37/1.49 apply (zenon_L1239_); trivial. % 1.37/1.49 apply (zenon_or_s _ _ zenon_H47); [ zenon_intro zenon_H31 | zenon_intro zenon_H2e ]. % 1.37/1.49 apply (zenon_L291_); trivial. % 1.37/1.49 exact (zenon_H2d zenon_H2e). % 1.37/1.49 apply (zenon_L1242_); trivial. % 1.37/1.49 (* end of lemma zenon_L1254_ *) % 1.37/1.49 assert (zenon_L1255_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> (~(c0_1 (a24))) -> (~(c1_1 (a24))) -> (c2_1 (a24)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (~(c2_1 (a6))) -> (~(hskp17)) -> ((hskp25)\/((hskp17)\/(hskp21))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (~(hskp15)) -> (~(c2_1 (a1))) -> (c3_1 (a1)) -> (~(c0_1 (a1))) -> (~(hskp10)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> False). % 1.37/1.49 do 0 intro. intros zenon_H17b zenon_H177 zenon_H102 zenon_H103 zenon_H104 zenon_H167 zenon_H14a zenon_H256 zenon_H255 zenon_H254 zenon_H9 zenon_H130 zenon_H149 zenon_H146 zenon_H2fd zenon_H304 zenon_H2fb zenon_H2d zenon_H43 zenon_H166. % 1.37/1.49 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.37/1.49 apply (zenon_L1241_); trivial. % 1.37/1.49 apply (zenon_L1254_); trivial. % 1.37/1.49 (* end of lemma zenon_L1255_ *) % 1.37/1.49 assert (zenon_L1256_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/(hskp13))) -> (~(hskp13)) -> (~(hskp19)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(c2_1 (a16))) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (~(hskp15)) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (~(c2_1 (a6))) -> (~(c2_1 (a1))) -> (c3_1 (a1)) -> (~(c0_1 (a1))) -> (ndr1_0) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> (~(hskp20)) -> (c0_1 (a31)) -> (c2_1 (a31)) -> (~(c1_1 (a31))) -> (~(hskp10)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> False). % 1.37/1.49 do 0 intro. intros zenon_H1c1 zenon_H247 zenon_H5 zenon_H144 zenon_H14a zenon_He9 zenon_Hea zenon_Heb zenon_Hfc zenon_H149 zenon_H146 zenon_H256 zenon_H255 zenon_H254 zenon_H2fd zenon_H304 zenon_H2fb zenon_H1a zenon_H1c6 zenon_H1c4 zenon_H3c zenon_H33 zenon_H32 zenon_H2d zenon_H43. % 1.37/1.49 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1be ]. % 1.37/1.49 apply (zenon_L1246_); trivial. % 1.37/1.49 apply (zenon_L366_); trivial. % 1.37/1.49 (* end of lemma zenon_L1256_ *) % 1.37/1.49 assert (zenon_L1257_ : ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp15)) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> (~(c0_1 (a1))) -> (c3_1 (a1)) -> (~(c2_1 (a1))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (c0_1 (a31)) -> (c2_1 (a31)) -> (~(c1_1 (a31))) -> (ndr1_0) -> (forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10)))))) -> (~(hskp10)) -> False). % 1.37/1.49 do 0 intro. intros zenon_H43 zenon_H146 zenon_H254 zenon_H255 zenon_H256 zenon_H2fb zenon_H304 zenon_H2fd zenon_H149 zenon_H3c zenon_H33 zenon_H32 zenon_H1a zenon_H3b zenon_H2d. % 1.37/1.49 apply (zenon_or_s _ _ zenon_H43); [ zenon_intro zenon_H1b | zenon_intro zenon_H47 ]. % 1.37/1.49 apply (zenon_L1239_); trivial. % 1.37/1.49 apply (zenon_or_s _ _ zenon_H47); [ zenon_intro zenon_H31 | zenon_intro zenon_H2e ]. % 1.37/1.49 apply (zenon_L19_); trivial. % 1.37/1.49 exact (zenon_H2d zenon_H2e). % 1.37/1.49 (* end of lemma zenon_L1257_ *) % 1.37/1.49 assert (zenon_L1258_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> (~(hskp26)) -> (~(hskp25)) -> (~(c0_1 (a37))) -> (~(c3_1 (a37))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> (~(hskp10)) -> (~(c1_1 (a31))) -> (c2_1 (a31)) -> (c0_1 (a31)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (~(c2_1 (a1))) -> (c3_1 (a1)) -> (~(c0_1 (a1))) -> (~(hskp15)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (ndr1_0) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> False). % 1.37/1.49 do 0 intro. intros zenon_H1ee zenon_H1b3 zenon_H12c zenon_H1ce zenon_H1cf zenon_H1c2 zenon_H2d zenon_H32 zenon_H33 zenon_H3c zenon_H149 zenon_H2fd zenon_H304 zenon_H2fb zenon_H146 zenon_H43 zenon_H1a zenon_H254 zenon_H255 zenon_H256. % 1.37/1.49 apply (zenon_or_s _ _ zenon_H1ee); [ zenon_intro zenon_H1e7 | zenon_intro zenon_H1ef ]. % 1.37/1.49 apply (zenon_L167_); trivial. % 1.37/1.49 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H3b | zenon_intro zenon_H6d ]. % 1.37/1.49 apply (zenon_L1257_); trivial. % 1.37/1.49 apply (zenon_L318_); trivial. % 1.37/1.49 (* end of lemma zenon_L1258_ *) % 1.37/1.49 assert (zenon_L1259_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/(hskp13))) -> (~(hskp13)) -> (~(hskp19)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(c2_1 (a16))) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> (~(hskp25)) -> (~(c3_1 (a37))) -> (~(c0_1 (a37))) -> (ndr1_0) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp10)) -> (c0_1 (a31)) -> (c2_1 (a31)) -> (~(c1_1 (a31))) -> (~(c0_1 (a1))) -> (c3_1 (a1)) -> (~(c2_1 (a1))) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> (~(hskp15)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> False). % 1.37/1.49 do 0 intro. intros zenon_H1c1 zenon_H247 zenon_H5 zenon_H144 zenon_H14a zenon_He9 zenon_Hea zenon_Heb zenon_Hfc zenon_H1c2 zenon_H12c zenon_H1cf zenon_H1ce zenon_H1a zenon_H43 zenon_H2d zenon_H3c zenon_H33 zenon_H32 zenon_H2fb zenon_H304 zenon_H2fd zenon_H254 zenon_H255 zenon_H256 zenon_H146 zenon_H149 zenon_H1ee. % 1.37/1.49 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1be ]. % 1.37/1.49 apply (zenon_L1258_); trivial. % 1.37/1.49 apply (zenon_L366_); trivial. % 1.37/1.49 (* end of lemma zenon_L1259_ *) % 1.37/1.49 assert (zenon_L1260_ : ((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (~(hskp15)) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (~(c2_1 (a6))) -> (~(c2_1 (a1))) -> (c3_1 (a1)) -> (~(c0_1 (a1))) -> (~(c1_1 (a31))) -> (c2_1 (a31)) -> (c0_1 (a31)) -> (~(hskp10)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (~(c2_1 (a16))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp19)) -> (~(hskp13)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/(hskp13))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> False). % 1.37/1.49 do 0 intro. intros zenon_H1d7 zenon_H167 zenon_H1ee zenon_H149 zenon_H146 zenon_H256 zenon_H255 zenon_H254 zenon_H2fd zenon_H304 zenon_H2fb zenon_H32 zenon_H33 zenon_H3c zenon_H2d zenon_H43 zenon_H1c2 zenon_Hfc zenon_Heb zenon_Hea zenon_He9 zenon_H14a zenon_H144 zenon_H5 zenon_H247 zenon_H1c1. % 1.37/1.49 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H1a. zenon_intro zenon_H1d8. % 1.37/1.49 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1d0. zenon_intro zenon_H1d9. % 1.37/1.49 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1ce. zenon_intro zenon_H1cf. % 1.37/1.49 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H12c | zenon_intro zenon_H148 ]. % 1.37/1.49 apply (zenon_L1259_); trivial. % 1.37/1.49 apply (zenon_L319_); trivial. % 1.37/1.49 (* end of lemma zenon_L1260_ *) % 1.37/1.49 assert (zenon_L1261_ : ((ndr1_0)/\((c2_1 (a24))/\((~(c0_1 (a24)))/\(~(c1_1 (a24)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(~(c3_1 (a25))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp24))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> (~(hskp1)) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (~(c2_1 (a6))) -> ((hskp25)\/((hskp17)\/(hskp21))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (~(c2_1 (a1))) -> (c3_1 (a1)) -> (~(c0_1 (a1))) -> (~(hskp10)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (~(c2_1 (a16))) -> (~(hskp13)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/(hskp13))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> False). % 1.37/1.50 do 0 intro. intros zenon_H10d zenon_H1a2 zenon_Hd3 zenon_H1f8 zenon_H95 zenon_H1e0 zenon_H48 zenon_H93 zenon_H91 zenon_H1f0 zenon_H12a zenon_H162 zenon_Hde zenon_H17a zenon_H17b zenon_H177 zenon_H167 zenon_H14a zenon_H256 zenon_H255 zenon_H254 zenon_H130 zenon_H149 zenon_H2fd zenon_H304 zenon_H2fb zenon_H2d zenon_H43 zenon_H166 zenon_H1da zenon_H1ee zenon_H1c2 zenon_H1c6 zenon_Hfc zenon_Heb zenon_Hea zenon_He9 zenon_H5 zenon_H247 zenon_H1c1 zenon_H9c. % 1.37/1.50 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_H1a. zenon_intro zenon_H10f. % 1.37/1.50 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H104. zenon_intro zenon_H110. % 1.37/1.50 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_H102. zenon_intro zenon_H103. % 1.37/1.50 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H146 | zenon_intro zenon_H19f ]. % 1.37/1.50 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.37/1.50 apply (zenon_L1255_); trivial. % 1.37/1.50 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.37/1.50 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.37/1.50 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.37/1.50 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.37/1.50 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.37/1.50 apply (zenon_L1256_); trivial. % 1.37/1.50 apply (zenon_L1260_); trivial. % 1.37/1.50 apply (zenon_L1254_); trivial. % 1.37/1.50 apply (zenon_L682_); trivial. % 1.37/1.50 (* end of lemma zenon_L1261_ *) % 1.37/1.50 assert (zenon_L1262_ : ((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> (~(c3_1 (a22))) -> (~(c2_1 (a22))) -> (~(c0_1 (a22))) -> (~(hskp10)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (~(c2_1 (a1))) -> (c3_1 (a1)) -> (~(c0_1 (a1))) -> (~(hskp15)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> False). % 1.37/1.50 do 0 intro. intros zenon_H9e zenon_H1ee zenon_H81 zenon_H89 zenon_H80 zenon_H2d zenon_H149 zenon_H2fd zenon_H304 zenon_H2fb zenon_H146 zenon_H43 zenon_H254 zenon_H255 zenon_H256. % 1.37/1.50 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.37/1.50 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.37/1.50 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.37/1.50 apply (zenon_or_s _ _ zenon_H1ee); [ zenon_intro zenon_H1e7 | zenon_intro zenon_H1ef ]. % 1.37/1.50 apply (zenon_L221_); trivial. % 1.37/1.50 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H3b | zenon_intro zenon_H6d ]. % 1.37/1.50 apply (zenon_L1257_); trivial. % 1.37/1.50 apply (zenon_L318_); trivial. % 1.37/1.50 (* end of lemma zenon_L1262_ *) % 1.37/1.50 assert (zenon_L1263_ : ((ndr1_0)/\((c2_1 (a24))/\((~(c0_1 (a24)))/\(~(c1_1 (a24)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(~(c3_1 (a25))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> (~(hskp1)) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (~(c2_1 (a6))) -> ((hskp25)\/((hskp17)\/(hskp21))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (~(c2_1 (a1))) -> (c3_1 (a1)) -> (~(c0_1 (a1))) -> (~(hskp10)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> (~(c3_1 (a22))) -> (~(c2_1 (a22))) -> (~(c0_1 (a22))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c3_1 W)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> False). % 1.37/1.50 do 0 intro. intros zenon_H10d zenon_H1a2 zenon_H93 zenon_H91 zenon_H1f0 zenon_H12a zenon_H162 zenon_Hde zenon_H17a zenon_H17b zenon_H177 zenon_H167 zenon_H14a zenon_H256 zenon_H255 zenon_H254 zenon_H130 zenon_H149 zenon_H2fd zenon_H304 zenon_H2fb zenon_H2d zenon_H43 zenon_H166 zenon_H1ee zenon_H81 zenon_H89 zenon_H80 zenon_H277 zenon_H9c. % 1.37/1.50 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_H1a. zenon_intro zenon_H10f. % 1.37/1.50 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H104. zenon_intro zenon_H110. % 1.37/1.50 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_H102. zenon_intro zenon_H103. % 1.37/1.50 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H146 | zenon_intro zenon_H19f ]. % 1.37/1.50 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.37/1.50 apply (zenon_L1255_); trivial. % 1.37/1.50 apply (zenon_L1152_); trivial. % 1.37/1.50 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H1a. zenon_intro zenon_H1a0. % 1.37/1.50 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H18f. zenon_intro zenon_H1a1. % 1.37/1.50 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H19a. zenon_intro zenon_H18e. % 1.37/1.50 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.37/1.50 apply (zenon_L425_); trivial. % 1.37/1.50 apply (zenon_L1152_); trivial. % 1.37/1.50 (* end of lemma zenon_L1263_ *) % 1.37/1.50 assert (zenon_L1264_ : ((ndr1_0)/\((~(c0_1 (a22)))/\((~(c2_1 (a22)))/\(~(c3_1 (a22)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a24))/\((~(c0_1 (a24)))/\(~(c1_1 (a24))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp27)\/(hskp26))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (~(c2_1 (a16))) -> (~(hskp2)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((hskp2)\/(hskp14))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a11))/\((c1_1 (a11))/\(c3_1 (a11)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (~(c2_1 (a6))) -> ((hskp25)\/((hskp17)\/(hskp21))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (~(c2_1 (a1))) -> (c3_1 (a1)) -> (~(c0_1 (a1))) -> (~(hskp10)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> (~(hskp1)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp11)) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c3_1 W)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(~(c3_1 (a25))))))) -> False). % 1.37/1.50 do 0 intro. intros zenon_H284 zenon_H112 zenon_H9c zenon_H1ee zenon_H17b zenon_H1c1 zenon_H1f2 zenon_H12a zenon_Hfc zenon_Heb zenon_Hea zenon_He9 zenon_Hfe zenon_H113 zenon_H97 zenon_H167 zenon_H14a zenon_H256 zenon_H255 zenon_H254 zenon_H130 zenon_H149 zenon_H2fd zenon_H304 zenon_H2fb zenon_H2d zenon_H43 zenon_H166 zenon_H177 zenon_H17a zenon_Hde zenon_H162 zenon_H93 zenon_H91 zenon_H1da zenon_H277 zenon_H1c2 zenon_Hd3 zenon_H1c6 zenon_H1f0 zenon_H1a2. % 1.37/1.50 apply (zenon_and_s _ _ zenon_H284). zenon_intro zenon_H1a. zenon_intro zenon_H285. % 1.37/1.50 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_H80. zenon_intro zenon_H286. % 1.37/1.50 apply (zenon_and_s _ _ zenon_H286). zenon_intro zenon_H89. zenon_intro zenon_H81. % 1.37/1.50 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_H100 | zenon_intro zenon_H10d ]. % 1.37/1.50 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H146 | zenon_intro zenon_H19f ]. % 1.37/1.50 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.37/1.50 apply (zenon_L1245_); trivial. % 1.37/1.50 apply (zenon_L1262_); trivial. % 1.37/1.50 apply (zenon_L1252_); trivial. % 1.37/1.50 apply (zenon_L1263_); trivial. % 1.37/1.50 (* end of lemma zenon_L1264_ *) % 1.37/1.50 assert (zenon_L1265_ : ((ndr1_0)/\((~(c0_1 (a22)))/\((~(c2_1 (a22)))/\(~(c3_1 (a22)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a24))/\((~(c0_1 (a24)))/\(~(c1_1 (a24))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(~(c3_1 (a25))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> (~(hskp1)) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (~(c2_1 (a6))) -> ((hskp25)\/((hskp17)\/(hskp21))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (~(c2_1 (a1))) -> (c3_1 (a1)) -> (~(c0_1 (a1))) -> (~(hskp10)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c3_1 W)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (c0_1 (a15)) -> (~(hskp2)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((hskp2)\/(hskp14))) -> False). % 1.37/1.50 do 0 intro. intros zenon_H284 zenon_H112 zenon_H1a2 zenon_H93 zenon_H91 zenon_H1f0 zenon_H12a zenon_H162 zenon_Hde zenon_H17a zenon_H17b zenon_H177 zenon_H167 zenon_H14a zenon_H256 zenon_H255 zenon_H254 zenon_H130 zenon_H149 zenon_H2fd zenon_H304 zenon_H2fb zenon_H2d zenon_H43 zenon_H166 zenon_H1ee zenon_H277 zenon_H9c zenon_H115 zenon_H116 zenon_H117 zenon_Hfe zenon_H113. % 1.37/1.50 apply (zenon_and_s _ _ zenon_H284). zenon_intro zenon_H1a. zenon_intro zenon_H285. % 1.37/1.50 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_H80. zenon_intro zenon_H286. % 1.37/1.50 apply (zenon_and_s _ _ zenon_H286). zenon_intro zenon_H89. zenon_intro zenon_H81. % 1.37/1.50 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_H100 | zenon_intro zenon_H10d ]. % 1.37/1.50 apply (zenon_L74_); trivial. % 1.37/1.50 apply (zenon_L1263_); trivial. % 1.37/1.50 (* end of lemma zenon_L1265_ *) % 1.37/1.50 assert (zenon_L1266_ : ((~(hskp11))\/((ndr1_0)/\((c2_1 (a19))/\((~(c1_1 (a19)))/\(~(c3_1 (a19))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(hskp7)) -> ((hskp7)\/((hskp9)\/(hskp13))) -> (~(hskp9)) -> (~(hskp7)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((hskp2)\/(hskp14))) -> (~(hskp2)) -> (c0_1 (a15)) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c3_1 W)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp10)) -> (~(c0_1 (a1))) -> (c3_1 (a1)) -> (~(c2_1 (a1))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> ((hskp25)\/((hskp17)\/(hskp21))) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> (~(hskp1)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(~(c3_1 (a25))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a24))/\((~(c0_1 (a24)))/\(~(c1_1 (a24))))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c0_1 (a22)))/\((~(c2_1 (a22)))/\(~(c3_1 (a22))))))) -> False). % 1.37/1.50 do 0 intro. intros zenon_H213 zenon_Hb7 zenon_H7 zenon_H3 zenon_H1 zenon_H113 zenon_Hfe zenon_H117 zenon_H116 zenon_H115 zenon_H9c zenon_H277 zenon_H1ee zenon_H166 zenon_H43 zenon_H2d zenon_H2fb zenon_H304 zenon_H2fd zenon_H149 zenon_H130 zenon_H254 zenon_H255 zenon_H256 zenon_H14a zenon_H167 zenon_H177 zenon_H17b zenon_H17a zenon_Hde zenon_H162 zenon_H12a zenon_H1f0 zenon_H93 zenon_H1a2 zenon_H112 zenon_H287. % 1.37/1.50 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H91 | zenon_intro zenon_He5 ]. % 1.37/1.50 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H5 | zenon_intro zenon_H284 ]. % 1.37/1.50 apply (zenon_L4_); trivial. % 1.37/1.50 apply (zenon_L1265_); trivial. % 1.37/1.50 apply (zenon_L62_); trivial. % 1.37/1.50 (* end of lemma zenon_L1266_ *) % 1.37/1.50 assert (zenon_L1267_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/(hskp13))) -> (~(hskp13)) -> (~(hskp19)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c0_1 (a15)) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (~(hskp15)) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (~(c2_1 (a6))) -> (~(c2_1 (a1))) -> (c3_1 (a1)) -> (~(c0_1 (a1))) -> (ndr1_0) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> (~(hskp20)) -> (c0_1 (a31)) -> (c2_1 (a31)) -> (~(c1_1 (a31))) -> (~(hskp10)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> False). % 1.37/1.50 do 0 intro. intros zenon_H1c1 zenon_H247 zenon_H5 zenon_H144 zenon_H14a zenon_H117 zenon_H116 zenon_H115 zenon_H149 zenon_H146 zenon_H256 zenon_H255 zenon_H254 zenon_H2fd zenon_H304 zenon_H2fb zenon_H1a zenon_H1c6 zenon_H1c4 zenon_H3c zenon_H33 zenon_H32 zenon_H2d zenon_H43. % 1.37/1.50 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1be ]. % 1.37/1.50 apply (zenon_L1246_); trivial. % 1.37/1.50 apply (zenon_L652_); trivial. % 1.37/1.50 (* end of lemma zenon_L1267_ *) % 1.37/1.50 assert (zenon_L1268_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (c2_1 (a19)) -> (~(c3_1 (a19))) -> (~(c1_1 (a19))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (~(hskp15)) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (~(c2_1 (a6))) -> (~(c2_1 (a1))) -> (c3_1 (a1)) -> (~(c0_1 (a1))) -> (ndr1_0) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> (~(hskp20)) -> (c0_1 (a31)) -> (c2_1 (a31)) -> (~(c1_1 (a31))) -> (~(hskp10)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> False). % 1.37/1.50 do 0 intro. intros zenon_H1c1 zenon_Hd3 zenon_Hb0 zenon_Haf zenon_Hae zenon_H149 zenon_H146 zenon_H256 zenon_H255 zenon_H254 zenon_H2fd zenon_H304 zenon_H2fb zenon_H1a zenon_H1c6 zenon_H1c4 zenon_H3c zenon_H33 zenon_H32 zenon_H2d zenon_H43. % 1.37/1.50 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1be ]. % 1.37/1.50 apply (zenon_L1246_); trivial. % 1.37/1.50 apply (zenon_L134_); trivial. % 1.37/1.50 (* end of lemma zenon_L1268_ *) % 1.37/1.50 assert (zenon_L1269_ : ((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp19)) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (~(c2_1 (a6))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c3_1 W)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> (c2_1 (a19)) -> (~(c3_1 (a19))) -> (~(c1_1 (a19))) -> (~(c2_1 (a1))) -> (~(c0_1 (a1))) -> (c3_1 (a1)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> False). % 1.37/1.50 do 0 intro. intros zenon_H1d7 zenon_H167 zenon_H14a zenon_H144 zenon_H256 zenon_H255 zenon_H254 zenon_H277 zenon_H1c2 zenon_Hb0 zenon_Haf zenon_Hae zenon_H2fd zenon_H2fb zenon_H304 zenon_H1ee zenon_Hd3 zenon_H1c1. % 1.37/1.50 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H1a. zenon_intro zenon_H1d8. % 1.37/1.50 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1d0. zenon_intro zenon_H1d9. % 1.37/1.50 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1ce. zenon_intro zenon_H1cf. % 1.37/1.50 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H12c | zenon_intro zenon_H148 ]. % 1.37/1.50 apply (zenon_L1185_); trivial. % 1.37/1.50 apply (zenon_L319_); trivial. % 1.37/1.50 (* end of lemma zenon_L1269_ *) % 1.37/1.50 assert (zenon_L1270_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp19)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c3_1 W)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp10)) -> (~(c1_1 (a31))) -> (c2_1 (a31)) -> (c0_1 (a31)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> (ndr1_0) -> (~(c0_1 (a1))) -> (c3_1 (a1)) -> (~(c2_1 (a1))) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> (~(hskp15)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (~(c1_1 (a19))) -> (~(c3_1 (a19))) -> (c2_1 (a19)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> False). % 1.37/1.50 do 0 intro. intros zenon_H1da zenon_H167 zenon_H14a zenon_H144 zenon_H277 zenon_H1c2 zenon_H1ee zenon_H43 zenon_H2d zenon_H32 zenon_H33 zenon_H3c zenon_H1c6 zenon_H1a zenon_H2fb zenon_H304 zenon_H2fd zenon_H254 zenon_H255 zenon_H256 zenon_H146 zenon_H149 zenon_Hae zenon_Haf zenon_Hb0 zenon_Hd3 zenon_H1c1. % 1.37/1.50 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.37/1.50 apply (zenon_L1268_); trivial. % 1.37/1.50 apply (zenon_L1269_); trivial. % 1.37/1.50 (* end of lemma zenon_L1270_ *) % 1.37/1.50 assert (zenon_L1271_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> (~(hskp20)) -> (c2_1 (a19)) -> (~(c1_1 (a19))) -> (~(c3_1 (a19))) -> (ndr1_0) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp10)) -> (c3_1 (a33)) -> (c2_1 (a33)) -> (~(c0_1 (a33))) -> (~(c0_1 (a1))) -> (c3_1 (a1)) -> (~(c2_1 (a1))) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> (~(hskp15)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> False). % 1.37/1.50 do 0 intro. intros zenon_H1c1 zenon_Hd3 zenon_H1c6 zenon_H1c4 zenon_Hb0 zenon_Hae zenon_Haf zenon_H1a zenon_H43 zenon_H2d zenon_H171 zenon_H16a zenon_H168 zenon_H2fb zenon_H304 zenon_H2fd zenon_H254 zenon_H255 zenon_H256 zenon_H146 zenon_H149 zenon_H177. % 1.37/1.50 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1be ]. % 1.37/1.50 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hd6 ]. % 1.37/1.50 apply (zenon_L140_); trivial. % 1.37/1.50 apply (zenon_L1242_); trivial. % 1.37/1.50 apply (zenon_L134_); trivial. % 1.37/1.50 (* end of lemma zenon_L1271_ *) % 1.37/1.50 assert (zenon_L1272_ : ((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> (~(c0_1 (a24))) -> (~(c1_1 (a24))) -> (c2_1 (a24)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (~(hskp15)) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (~(c2_1 (a6))) -> (~(c2_1 (a1))) -> (c3_1 (a1)) -> (~(c0_1 (a1))) -> (~(hskp10)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(c3_1 (a19))) -> (~(c1_1 (a19))) -> (c2_1 (a19)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> False). % 1.37/1.50 do 0 intro. intros zenon_H176 zenon_H1da zenon_H102 zenon_H103 zenon_H104 zenon_H95 zenon_H177 zenon_H149 zenon_H146 zenon_H256 zenon_H255 zenon_H254 zenon_H2fd zenon_H304 zenon_H2fb zenon_H2d zenon_H43 zenon_Haf zenon_Hae zenon_Hb0 zenon_H1c6 zenon_Hd3 zenon_H1c1. % 1.37/1.50 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1a. zenon_intro zenon_H178. % 1.37/1.50 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H16a. zenon_intro zenon_H179. % 1.37/1.50 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H171. zenon_intro zenon_H168. % 1.37/1.50 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.37/1.50 apply (zenon_L1271_); trivial. % 1.37/1.50 apply (zenon_L312_); trivial. % 1.37/1.50 (* end of lemma zenon_L1272_ *) % 1.37/1.50 assert (zenon_L1273_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp19)) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (~(c2_1 (a6))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c3_1 W)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> (~(c2_1 (a1))) -> (~(c0_1 (a1))) -> (c3_1 (a1)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> (c2_1 (a19)) -> (~(c1_1 (a19))) -> (~(c3_1 (a19))) -> (ndr1_0) -> (~(c3_1 (a25))) -> (c0_1 (a25)) -> (c1_1 (a25)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp24))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> False). % 1.37/1.50 do 0 intro. intros zenon_H1da zenon_H167 zenon_H14a zenon_H144 zenon_H256 zenon_H255 zenon_H254 zenon_H277 zenon_H1c2 zenon_H2fd zenon_H2fb zenon_H304 zenon_H1ee zenon_H1c1 zenon_Hd3 zenon_H1c6 zenon_Hb0 zenon_Hae zenon_Haf zenon_H1a zenon_H18e zenon_H18f zenon_H19a zenon_H1f8 zenon_H177 zenon_H48. % 1.37/1.50 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.37/1.50 apply (zenon_L661_); trivial. % 1.37/1.50 apply (zenon_L1269_); trivial. % 1.37/1.50 (* end of lemma zenon_L1273_ *) % 1.37/1.50 assert (zenon_L1274_ : ((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(~(c3_1 (a25)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> (~(c0_1 (a24))) -> (~(c1_1 (a24))) -> (c2_1 (a24)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp24))) -> (~(c3_1 (a19))) -> (~(c1_1 (a19))) -> (c2_1 (a19)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> (c3_1 (a1)) -> (~(c0_1 (a1))) -> (~(c2_1 (a1))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c3_1 W)))))))) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> False). % 1.37/1.50 do 0 intro. intros zenon_H19f zenon_H17b zenon_H102 zenon_H103 zenon_H104 zenon_H95 zenon_H48 zenon_H177 zenon_H1f8 zenon_Haf zenon_Hae zenon_Hb0 zenon_H1c6 zenon_Hd3 zenon_H1c1 zenon_H1ee zenon_H304 zenon_H2fb zenon_H2fd zenon_H1c2 zenon_H277 zenon_H254 zenon_H255 zenon_H256 zenon_H14a zenon_H167 zenon_H1da. % 1.37/1.50 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H1a. zenon_intro zenon_H1a0. % 1.37/1.50 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H18f. zenon_intro zenon_H1a1. % 1.37/1.50 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H19a. zenon_intro zenon_H18e. % 1.37/1.50 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.37/1.50 apply (zenon_L1273_); trivial. % 1.37/1.50 apply (zenon_L663_); trivial. % 1.37/1.50 (* end of lemma zenon_L1274_ *) % 1.37/1.50 assert (zenon_L1275_ : ((ndr1_0)/\((c2_1 (a24))/\((~(c0_1 (a24)))/\(~(c1_1 (a24)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(~(c3_1 (a25))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp24))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (~(c2_1 (a6))) -> ((hskp25)\/((hskp17)\/(hskp21))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (~(c2_1 (a1))) -> (c3_1 (a1)) -> (~(c0_1 (a1))) -> (~(hskp10)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c3_1 W)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> (~(c1_1 (a19))) -> (~(c3_1 (a19))) -> (c2_1 (a19)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> False). % 1.37/1.50 do 0 intro. intros zenon_H10d zenon_H1a2 zenon_H48 zenon_H1f8 zenon_H17b zenon_H177 zenon_H167 zenon_H14a zenon_H256 zenon_H255 zenon_H254 zenon_H130 zenon_H149 zenon_H2fd zenon_H304 zenon_H2fb zenon_H2d zenon_H43 zenon_H166 zenon_H1da zenon_H277 zenon_H1c2 zenon_H1ee zenon_H1c6 zenon_Hae zenon_Haf zenon_Hb0 zenon_Hd3 zenon_H1c1 zenon_H95 zenon_H9c. % 1.37/1.50 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_H1a. zenon_intro zenon_H10f. % 1.37/1.50 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H104. zenon_intro zenon_H110. % 1.37/1.50 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_H102. zenon_intro zenon_H103. % 1.37/1.50 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H146 | zenon_intro zenon_H19f ]. % 1.37/1.50 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.37/1.50 apply (zenon_L1255_); trivial. % 1.37/1.50 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.37/1.50 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.37/1.50 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.37/1.50 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.37/1.50 apply (zenon_L1270_); trivial. % 1.37/1.50 apply (zenon_L1272_); trivial. % 1.37/1.50 apply (zenon_L1274_); trivial. % 1.37/1.50 (* end of lemma zenon_L1275_ *) % 1.37/1.50 assert (zenon_L1276_ : ((ndr1_0)/\((c2_1 (a19))/\((~(c1_1 (a19)))/\(~(c3_1 (a19)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a24))/\((~(c0_1 (a24)))/\(~(c1_1 (a24))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(~(c3_1 (a25))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp24))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (~(c2_1 (a6))) -> ((hskp25)\/((hskp17)\/(hskp21))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (~(c2_1 (a1))) -> (c3_1 (a1)) -> (~(c0_1 (a1))) -> (~(hskp10)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c3_1 W)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (c0_1 (a15)) -> (~(hskp2)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((hskp2)\/(hskp14))) -> False). % 1.37/1.50 do 0 intro. intros zenon_He5 zenon_H112 zenon_H1a2 zenon_H48 zenon_H1f8 zenon_H17b zenon_H177 zenon_H167 zenon_H14a zenon_H256 zenon_H255 zenon_H254 zenon_H130 zenon_H149 zenon_H2fd zenon_H304 zenon_H2fb zenon_H2d zenon_H43 zenon_H166 zenon_H1da zenon_H277 zenon_H1c2 zenon_H1ee zenon_H1c6 zenon_Hd3 zenon_H1c1 zenon_H95 zenon_H9c zenon_H115 zenon_H116 zenon_H117 zenon_Hfe zenon_H113. % 1.37/1.50 apply (zenon_and_s _ _ zenon_He5). zenon_intro zenon_H1a. zenon_intro zenon_He6. % 1.37/1.50 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_Hb0. zenon_intro zenon_He7. % 1.37/1.50 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hae. zenon_intro zenon_Haf. % 1.37/1.50 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_H100 | zenon_intro zenon_H10d ]. % 1.37/1.50 apply (zenon_L74_); trivial. % 1.37/1.50 apply (zenon_L1275_); trivial. % 1.37/1.50 (* end of lemma zenon_L1276_ *) % 1.37/1.50 assert (zenon_L1277_ : ((ndr1_0)/\((c2_1 (a24))/\((~(c0_1 (a24)))/\(~(c1_1 (a24)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(c3_1 (a18))) -> (c0_1 (a18)) -> (c2_1 (a18)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> (c3_1 (a1)) -> (~(c0_1 (a1))) -> (~(c2_1 (a1))) -> (~(c1_1 (a19))) -> (~(c3_1 (a19))) -> (c2_1 (a19)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c3_1 W)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> False). % 1.37/1.50 do 0 intro. intros zenon_H10d zenon_H17b zenon_H177 zenon_H95 zenon_H1c1 zenon_Hd3 zenon_H254 zenon_H255 zenon_H256 zenon_H14a zenon_Hc1 zenon_He0 zenon_Hc2 zenon_H1c6 zenon_H1ee zenon_H304 zenon_H2fb zenon_H2fd zenon_Hae zenon_Haf zenon_Hb0 zenon_H1c2 zenon_H277 zenon_H167 zenon_H1da. % 1.37/1.50 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_H1a. zenon_intro zenon_H10f. % 1.37/1.50 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H104. zenon_intro zenon_H110. % 1.37/1.50 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_H102. zenon_intro zenon_H103. % 1.37/1.50 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.37/1.50 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.37/1.50 apply (zenon_L339_); trivial. % 1.37/1.50 apply (zenon_L1269_); trivial. % 1.37/1.50 apply (zenon_L313_); trivial. % 1.37/1.50 (* end of lemma zenon_L1277_ *) % 1.37/1.50 assert (zenon_L1278_ : ((ndr1_0)/\((c2_1 (a19))/\((~(c1_1 (a19)))/\(~(c3_1 (a19)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a24))/\((~(c0_1 (a24)))/\(~(c1_1 (a24))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(c3_1 (a18))) -> (c0_1 (a18)) -> (c2_1 (a18)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> (c3_1 (a1)) -> (~(c0_1 (a1))) -> (~(c2_1 (a1))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c3_1 W)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (c0_1 (a15)) -> (~(hskp2)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((hskp2)\/(hskp14))) -> False). % 1.37/1.50 do 0 intro. intros zenon_He5 zenon_H112 zenon_H17b zenon_H177 zenon_H95 zenon_H1c1 zenon_Hd3 zenon_H254 zenon_H255 zenon_H256 zenon_H14a zenon_Hc1 zenon_He0 zenon_Hc2 zenon_H1c6 zenon_H1ee zenon_H304 zenon_H2fb zenon_H2fd zenon_H1c2 zenon_H277 zenon_H167 zenon_H1da zenon_H115 zenon_H116 zenon_H117 zenon_Hfe zenon_H113. % 1.37/1.50 apply (zenon_and_s _ _ zenon_He5). zenon_intro zenon_H1a. zenon_intro zenon_He6. % 1.37/1.50 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_Hb0. zenon_intro zenon_He7. % 1.37/1.50 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hae. zenon_intro zenon_Haf. % 1.37/1.50 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_H100 | zenon_intro zenon_H10d ]. % 1.37/1.50 apply (zenon_L74_); trivial. % 1.37/1.50 apply (zenon_L1277_); trivial. % 1.37/1.50 (* end of lemma zenon_L1278_ *) % 1.37/1.50 assert (zenon_L1279_ : ((ndr1_0)/\((c0_1 (a18))/\((c2_1 (a18))/\(~(c3_1 (a18)))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a19))/\((~(c1_1 (a19)))/\(~(c3_1 (a19))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a24))/\((~(c0_1 (a24)))/\(~(c1_1 (a24))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (c0_1 (a15)) -> (~(hskp2)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((hskp2)\/(hskp14))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((hskp25)\/((hskp17)\/(hskp21))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c3_1 W)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> (~(c2_1 (a1))) -> (~(c0_1 (a1))) -> (c3_1 (a1)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> False). % 1.37/1.50 do 0 intro. intros zenon_H217 zenon_H213 zenon_H112 zenon_H177 zenon_H115 zenon_H116 zenon_H117 zenon_Hfe zenon_H113 zenon_H17b zenon_H93 zenon_H1c1 zenon_Hd3 zenon_H254 zenon_H255 zenon_H256 zenon_H14a zenon_H1c6 zenon_H167 zenon_H130 zenon_H95 zenon_H166 zenon_H1da zenon_H277 zenon_H1c2 zenon_H2fd zenon_H2fb zenon_H304 zenon_H1ee zenon_H9c. % 1.37/1.50 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H1a. zenon_intro zenon_H218. % 1.37/1.50 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_He0. zenon_intro zenon_H219. % 1.37/1.50 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_Hc2. zenon_intro zenon_Hc1. % 1.37/1.50 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H91 | zenon_intro zenon_He5 ]. % 1.37/1.50 apply (zenon_L1236_); trivial. % 1.37/1.50 apply (zenon_L1278_); trivial. % 1.37/1.50 (* end of lemma zenon_L1279_ *) % 1.37/1.50 assert (zenon_L1280_ : ((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp15)) -> (~(c0_1 (a1))) -> (c3_1 (a1)) -> (~(c2_1 (a1))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (~(hskp11)) -> (~(c1_1 (a31))) -> (c2_1 (a31)) -> (c0_1 (a31)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/(hskp13))) -> (c2_1 (a3)) -> (c3_1 (a3)) -> (c1_1 (a3)) -> (~(c2_1 (a14))) -> (c0_1 (a14)) -> (c3_1 (a14)) -> (~(hskp19)) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp13)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp10)) -> False). % 1.37/1.50 do 0 intro. intros zenon_H1be zenon_H43 zenon_H146 zenon_H2fb zenon_H304 zenon_H2fd zenon_H149 zenon_H91 zenon_H32 zenon_H33 zenon_H3c zenon_H247 zenon_H1e zenon_H1f zenon_H1d zenon_H11f zenon_H120 zenon_H121 zenon_H144 zenon_H254 zenon_H255 zenon_H256 zenon_H14a zenon_H5 zenon_H93 zenon_H2d. % 1.37/1.50 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H1a. zenon_intro zenon_H1bf. % 1.37/1.50 apply (zenon_and_s _ _ zenon_H1bf). zenon_intro zenon_H1b5. zenon_intro zenon_H1c0. % 1.37/1.50 apply (zenon_and_s _ _ zenon_H1c0). zenon_intro zenon_H1b6. zenon_intro zenon_H1b7. % 1.37/1.50 apply (zenon_or_s _ _ zenon_H43); [ zenon_intro zenon_H1b | zenon_intro zenon_H47 ]. % 1.37/1.50 apply (zenon_L1239_); trivial. % 1.37/1.50 apply (zenon_or_s _ _ zenon_H47); [ zenon_intro zenon_H31 | zenon_intro zenon_H2e ]. % 1.37/1.50 apply (zenon_L403_); trivial. % 1.37/1.50 exact (zenon_H2d zenon_H2e). % 1.37/1.50 (* end of lemma zenon_L1280_ *) % 1.37/1.50 assert (zenon_L1281_ : ((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/(hskp13))) -> (~(hskp13)) -> (~(c2_1 (a14))) -> (c0_1 (a14)) -> (c3_1 (a14)) -> (~(hskp19)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp11)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (~(hskp15)) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (~(c2_1 (a6))) -> (~(c2_1 (a1))) -> (c3_1 (a1)) -> (~(c0_1 (a1))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> (~(hskp20)) -> (c0_1 (a31)) -> (c2_1 (a31)) -> (~(c1_1 (a31))) -> (~(hskp10)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> False). % 1.37/1.50 do 0 intro. intros zenon_H41 zenon_H1c1 zenon_H247 zenon_H5 zenon_H11f zenon_H120 zenon_H121 zenon_H144 zenon_H14a zenon_H91 zenon_H93 zenon_H149 zenon_H146 zenon_H256 zenon_H255 zenon_H254 zenon_H2fd zenon_H304 zenon_H2fb zenon_H1c6 zenon_H1c4 zenon_H3c zenon_H33 zenon_H32 zenon_H2d zenon_H43. % 1.37/1.50 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H1a. zenon_intro zenon_H44. % 1.37/1.50 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H1d. zenon_intro zenon_H45. % 1.37/1.50 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H1e. zenon_intro zenon_H1f. % 1.37/1.50 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1be ]. % 1.37/1.50 apply (zenon_L1246_); trivial. % 1.37/1.50 apply (zenon_L1280_); trivial. % 1.37/1.50 (* end of lemma zenon_L1281_ *) % 1.37/1.50 assert (zenon_L1282_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/(hskp13))) -> (~(hskp13)) -> (~(c2_1 (a14))) -> (c0_1 (a14)) -> (c3_1 (a14)) -> (~(hskp19)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp11)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (~(hskp15)) -> (~(c2_1 (a1))) -> (c3_1 (a1)) -> (~(c0_1 (a1))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> (~(hskp20)) -> (c0_1 (a31)) -> (c2_1 (a31)) -> (~(c1_1 (a31))) -> (~(hskp10)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (ndr1_0) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> (~(hskp9)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((hskp9)\/(hskp24))) -> False). % 1.37/1.50 do 0 intro. intros zenon_H48 zenon_H1c1 zenon_H247 zenon_H5 zenon_H11f zenon_H120 zenon_H121 zenon_H144 zenon_H14a zenon_H91 zenon_H93 zenon_H149 zenon_H146 zenon_H2fd zenon_H304 zenon_H2fb zenon_H1c6 zenon_H1c4 zenon_H3c zenon_H33 zenon_H32 zenon_H2d zenon_H43 zenon_H1a zenon_H254 zenon_H255 zenon_H256 zenon_H3 zenon_H7b. % 1.37/1.50 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H11 | zenon_intro zenon_H41 ]. % 1.37/1.50 apply (zenon_L329_); trivial. % 1.37/1.50 apply (zenon_L1281_); trivial. % 1.37/1.50 (* end of lemma zenon_L1282_ *) % 1.37/1.50 assert (zenon_L1283_ : ((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (~(hskp15)) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (~(c2_1 (a6))) -> (~(c2_1 (a1))) -> (c3_1 (a1)) -> (~(c0_1 (a1))) -> (~(c1_1 (a31))) -> (c2_1 (a31)) -> (c0_1 (a31)) -> (~(hskp10)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(c0_1 (a37))) -> (~(c3_1 (a37))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp19)) -> (c3_1 (a14)) -> (c0_1 (a14)) -> (~(c2_1 (a14))) -> (~(hskp13)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/(hskp13))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> False). % 1.37/1.50 do 0 intro. intros zenon_H41 zenon_H167 zenon_H1ee zenon_H149 zenon_H146 zenon_H256 zenon_H255 zenon_H254 zenon_H2fd zenon_H304 zenon_H2fb zenon_H32 zenon_H33 zenon_H3c zenon_H2d zenon_H43 zenon_H1ce zenon_H1cf zenon_H1c2 zenon_H93 zenon_H91 zenon_H14a zenon_H144 zenon_H121 zenon_H120 zenon_H11f zenon_H5 zenon_H247 zenon_H1c1. % 1.37/1.50 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H1a. zenon_intro zenon_H44. % 1.37/1.50 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H1d. zenon_intro zenon_H45. % 1.37/1.50 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H1e. zenon_intro zenon_H1f. % 1.37/1.50 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H12c | zenon_intro zenon_H148 ]. % 1.37/1.50 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1be ]. % 1.37/1.50 apply (zenon_L1258_); trivial. % 1.37/1.50 apply (zenon_L1280_); trivial. % 1.37/1.50 apply (zenon_L86_); trivial. % 1.37/1.50 (* end of lemma zenon_L1283_ *) % 1.37/1.50 assert (zenon_L1284_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((hskp9)\/(hskp24))) -> (~(hskp9)) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (~(c2_1 (a6))) -> (ndr1_0) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp10)) -> (~(c1_1 (a31))) -> (c2_1 (a31)) -> (c0_1 (a31)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> (~(c0_1 (a1))) -> (c3_1 (a1)) -> (~(c2_1 (a1))) -> (~(hskp15)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp19)) -> (c3_1 (a14)) -> (c0_1 (a14)) -> (~(c2_1 (a14))) -> (~(hskp13)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/(hskp13))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> False). % 1.37/1.50 do 0 intro. intros zenon_H1da zenon_H167 zenon_H1ee zenon_H1c2 zenon_H7b zenon_H3 zenon_H256 zenon_H255 zenon_H254 zenon_H1a zenon_H43 zenon_H2d zenon_H32 zenon_H33 zenon_H3c zenon_H1c6 zenon_H2fb zenon_H304 zenon_H2fd zenon_H146 zenon_H149 zenon_H93 zenon_H91 zenon_H14a zenon_H144 zenon_H121 zenon_H120 zenon_H11f zenon_H5 zenon_H247 zenon_H1c1 zenon_H48. % 1.37/1.50 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.37/1.50 apply (zenon_L1282_); trivial. % 1.37/1.50 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H1a. zenon_intro zenon_H1d8. % 1.37/1.50 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1d0. zenon_intro zenon_H1d9. % 1.37/1.50 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1ce. zenon_intro zenon_H1cf. % 1.37/1.50 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H11 | zenon_intro zenon_H41 ]. % 1.37/1.50 apply (zenon_L329_); trivial. % 1.37/1.50 apply (zenon_L1283_); trivial. % 1.37/1.50 (* end of lemma zenon_L1284_ *) % 1.37/1.50 assert (zenon_L1285_ : ((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp15)) -> (~(c2_1 (a14))) -> (c0_1 (a14)) -> (c3_1 (a14)) -> (~(c0_1 (a1))) -> (c3_1 (a1)) -> (~(c2_1 (a1))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (~(hskp9)) -> (~(hskp8)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp8)\/(hskp9))) -> (~(hskp10)) -> False). % 1.37/1.50 do 0 intro. intros zenon_H176 zenon_H43 zenon_H146 zenon_H11f zenon_H120 zenon_H121 zenon_H2fb zenon_H304 zenon_H2fd zenon_H149 zenon_H3 zenon_Hb zenon_H1a3 zenon_H2d. % 1.37/1.50 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1a. zenon_intro zenon_H178. % 1.37/1.50 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H16a. zenon_intro zenon_H179. % 1.37/1.50 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H171. zenon_intro zenon_H168. % 1.37/1.50 apply (zenon_or_s _ _ zenon_H43); [ zenon_intro zenon_H1b | zenon_intro zenon_H47 ]. % 1.37/1.50 apply (zenon_L1179_); trivial. % 1.37/1.50 apply (zenon_or_s _ _ zenon_H47); [ zenon_intro zenon_H31 | zenon_intro zenon_H2e ]. % 1.37/1.50 apply (zenon_L1037_); trivial. % 1.37/1.50 exact (zenon_H2d zenon_H2e). % 1.37/1.50 (* end of lemma zenon_L1285_ *) % 1.37/1.50 assert (zenon_L1286_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> (~(hskp8)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp8)\/(hskp9))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/(hskp13))) -> (~(hskp13)) -> (~(hskp11)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (~(hskp15)) -> (~(c2_1 (a1))) -> (c3_1 (a1)) -> (~(c0_1 (a1))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> (~(hskp10)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp9)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((hskp9)\/(hskp24))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> (c3_1 (a14)) -> (c0_1 (a14)) -> (~(c2_1 (a14))) -> (ndr1_0) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> (~(hskp1)) -> ((hskp25)\/((hskp17)\/(hskp21))) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> False). % 1.37/1.50 do 0 intro. intros zenon_H9c zenon_Hb zenon_H1a3 zenon_H48 zenon_H1c1 zenon_H247 zenon_H5 zenon_H91 zenon_H93 zenon_H149 zenon_H146 zenon_H2fd zenon_H304 zenon_H2fb zenon_H1c6 zenon_H2d zenon_H43 zenon_H3 zenon_H7b zenon_H1c2 zenon_H1ee zenon_H1da zenon_H12a zenon_H121 zenon_H120 zenon_H11f zenon_H1a zenon_H166 zenon_H162 zenon_Hde zenon_H130 zenon_H254 zenon_H255 zenon_H256 zenon_H14a zenon_H167 zenon_H177 zenon_H17b zenon_H17a. % 1.37/1.50 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.37/1.50 apply (zenon_L411_); trivial. % 1.37/1.50 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.37/1.50 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.37/1.50 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.37/1.50 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.37/1.50 apply (zenon_L1284_); trivial. % 1.37/1.50 apply (zenon_L1285_); trivial. % 1.37/1.50 (* end of lemma zenon_L1286_ *) % 1.37/1.50 assert (zenon_L1287_ : ((ndr1_0)/\((~(c0_1 (a22)))/\((~(c2_1 (a22)))/\(~(c3_1 (a22)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c3_1 W)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp10)) -> (c3_1 (a1)) -> (~(c2_1 (a1))) -> (~(c0_1 (a1))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> (c3_1 (a14)) -> (c0_1 (a14)) -> (~(c2_1 (a14))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> (~(hskp1)) -> ((hskp25)\/((hskp17)\/(hskp21))) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> False). % 1.37/1.50 do 0 intro. intros zenon_H284 zenon_H9c zenon_H277 zenon_H43 zenon_H2d zenon_H304 zenon_H2fd zenon_H2fb zenon_H1ee zenon_H12a zenon_H121 zenon_H120 zenon_H11f zenon_H166 zenon_H162 zenon_Hde zenon_H130 zenon_H254 zenon_H255 zenon_H256 zenon_H14a zenon_H167 zenon_H177 zenon_H17b zenon_H17a. % 1.37/1.50 apply (zenon_and_s _ _ zenon_H284). zenon_intro zenon_H1a. zenon_intro zenon_H285. % 1.37/1.50 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_H80. zenon_intro zenon_H286. % 1.37/1.50 apply (zenon_and_s _ _ zenon_H286). zenon_intro zenon_H89. zenon_intro zenon_H81. % 1.37/1.50 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.37/1.50 apply (zenon_L411_); trivial. % 1.37/1.50 apply (zenon_L1152_); trivial. % 1.37/1.50 (* end of lemma zenon_L1287_ *) % 1.37/1.50 assert (zenon_L1288_ : ((~(hskp13))\/((ndr1_0)/\((~(c0_1 (a22)))/\((~(c2_1 (a22)))/\(~(c3_1 (a22))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> (~(hskp8)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp8)\/(hskp9))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/(hskp13))) -> (~(hskp11)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (~(c2_1 (a1))) -> (c3_1 (a1)) -> (~(c0_1 (a1))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> (~(hskp10)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp9)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((hskp9)\/(hskp24))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> (c3_1 (a14)) -> (c0_1 (a14)) -> (~(c2_1 (a14))) -> (ndr1_0) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> (~(hskp1)) -> ((hskp25)\/((hskp17)\/(hskp21))) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c3_1 W)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(~(c3_1 (a25))))))) -> False). % 1.37/1.50 do 0 intro. intros zenon_H287 zenon_H9c zenon_Hb zenon_H1a3 zenon_H48 zenon_H1c1 zenon_H247 zenon_H91 zenon_H93 zenon_H149 zenon_H2fd zenon_H304 zenon_H2fb zenon_H1c6 zenon_H2d zenon_H43 zenon_H3 zenon_H7b zenon_H1c2 zenon_H1ee zenon_H1da zenon_H12a zenon_H121 zenon_H120 zenon_H11f zenon_H1a zenon_H166 zenon_H162 zenon_Hde zenon_H130 zenon_H254 zenon_H255 zenon_H256 zenon_H14a zenon_H167 zenon_H177 zenon_H17b zenon_H17a zenon_H277 zenon_Hd3 zenon_Hfc zenon_H1e0 zenon_H1a2. % 1.37/1.50 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H5 | zenon_intro zenon_H284 ]. % 1.37/1.50 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H146 | zenon_intro zenon_H19f ]. % 1.37/1.50 apply (zenon_L1286_); trivial. % 1.37/1.50 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H1a. zenon_intro zenon_H1a0. % 1.37/1.50 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H18f. zenon_intro zenon_H1a1. % 1.37/1.50 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H19a. zenon_intro zenon_H18e. % 1.37/1.50 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.37/1.50 apply (zenon_L411_); trivial. % 1.37/1.50 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.37/1.50 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.37/1.50 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.37/1.50 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.37/1.50 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.37/1.50 apply (zenon_L413_); trivial. % 1.37/1.50 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H1a. zenon_intro zenon_H1d8. % 1.37/1.50 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1d0. zenon_intro zenon_H1d9. % 1.37/1.50 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1ce. zenon_intro zenon_H1cf. % 1.37/1.50 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H11 | zenon_intro zenon_H41 ]. % 1.37/1.50 apply (zenon_L329_); trivial. % 1.37/1.50 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H1a. zenon_intro zenon_H44. % 1.37/1.50 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H1d. zenon_intro zenon_H45. % 1.37/1.50 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H1e. zenon_intro zenon_H1f. % 1.37/1.50 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H12c | zenon_intro zenon_H148 ]. % 1.37/1.50 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1be ]. % 1.37/1.50 apply (zenon_L1197_); trivial. % 1.37/1.50 apply (zenon_L412_); trivial. % 1.37/1.50 apply (zenon_L319_); trivial. % 1.37/1.50 apply (zenon_L159_); trivial. % 1.37/1.50 apply (zenon_L1287_); trivial. % 1.37/1.50 (* end of lemma zenon_L1288_ *) % 1.37/1.50 assert (zenon_L1289_ : ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (~(c2_1 (a6))) -> ((hskp25)\/((hskp17)\/(hskp21))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (~(hskp15)) -> (~(c2_1 (a1))) -> (c3_1 (a1)) -> (~(c0_1 (a1))) -> (~(hskp10)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> (ndr1_0) -> (~(c2_1 (a14))) -> (c0_1 (a14)) -> (c3_1 (a14)) -> (~(hskp17)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> False). % 1.37/1.50 do 0 intro. intros zenon_H17a zenon_H17b zenon_H177 zenon_H167 zenon_H14a zenon_H256 zenon_H255 zenon_H254 zenon_H130 zenon_H149 zenon_H146 zenon_H2fd zenon_H304 zenon_H2fb zenon_H2d zenon_H43 zenon_H166 zenon_H1a zenon_H11f zenon_H120 zenon_H121 zenon_H9 zenon_H12a. % 1.37/1.50 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H128 | zenon_intro zenon_H17c ]. % 1.37/1.50 apply (zenon_L78_); trivial. % 1.37/1.50 apply (zenon_L1244_); trivial. % 1.37/1.50 (* end of lemma zenon_L1289_ *) % 1.37/1.50 assert (zenon_L1290_ : ((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(~(c3_1 (a25)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp8)\/(hskp9))) -> (~(hskp9)) -> (~(hskp8)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp24))) -> (~(c3_1 (a19))) -> (~(c1_1 (a19))) -> (c2_1 (a19)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> (c3_1 (a1)) -> (~(c0_1 (a1))) -> (~(c2_1 (a1))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c3_1 W)))))))) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> False). % 1.37/1.50 do 0 intro. intros zenon_H19f zenon_H17b zenon_H1a3 zenon_H3 zenon_Hb zenon_H95 zenon_H48 zenon_H177 zenon_H1f8 zenon_Haf zenon_Hae zenon_Hb0 zenon_H1c6 zenon_Hd3 zenon_H1c1 zenon_H1ee zenon_H304 zenon_H2fb zenon_H2fd zenon_H1c2 zenon_H277 zenon_H254 zenon_H255 zenon_H256 zenon_H14a zenon_H167 zenon_H1da. % 1.37/1.50 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H1a. zenon_intro zenon_H1a0. % 1.37/1.50 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H18f. zenon_intro zenon_H1a1. % 1.37/1.50 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H19a. zenon_intro zenon_H18e. % 1.37/1.50 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.37/1.50 apply (zenon_L1273_); trivial. % 1.37/1.50 apply (zenon_L1188_); trivial. % 1.37/1.50 (* end of lemma zenon_L1290_ *) % 1.37/1.50 assert (zenon_L1291_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp11)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(c3_1 (a18))) -> (c0_1 (a18)) -> (c2_1 (a18)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> (c3_1 (a1)) -> (~(c0_1 (a1))) -> (~(c2_1 (a1))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c3_1 W)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> (c3_1 (a14)) -> (c0_1 (a14)) -> (~(c2_1 (a14))) -> (ndr1_0) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> (~(hskp1)) -> ((hskp25)\/((hskp17)\/(hskp21))) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> False). % 1.37/1.50 do 0 intro. intros zenon_H9c zenon_H93 zenon_H91 zenon_H1c1 zenon_Hd3 zenon_Hc1 zenon_He0 zenon_Hc2 zenon_H1c6 zenon_H1ee zenon_H304 zenon_H2fb zenon_H2fd zenon_H1c2 zenon_H277 zenon_H1da zenon_H12a zenon_H121 zenon_H120 zenon_H11f zenon_H1a zenon_H166 zenon_H162 zenon_Hde zenon_H130 zenon_H254 zenon_H255 zenon_H256 zenon_H14a zenon_H167 zenon_H177 zenon_H17b zenon_H17a. % 1.37/1.50 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.37/1.50 apply (zenon_L411_); trivial. % 1.37/1.50 apply (zenon_L1235_); trivial. % 1.37/1.50 (* end of lemma zenon_L1291_ *) % 1.37/1.50 assert (zenon_L1292_ : ((ndr1_0)/\((c0_1 (a18))/\((c2_1 (a18))/\(~(c3_1 (a18)))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a19))/\((~(c1_1 (a19)))/\(~(c3_1 (a19))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp8)\/(hskp9))) -> (~(hskp9)) -> (~(hskp8)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (~(c2_1 (a6))) -> ((hskp25)\/((hskp17)\/(hskp21))) -> (~(hskp1)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> (~(c2_1 (a14))) -> (c0_1 (a14)) -> (c3_1 (a14)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c3_1 W)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> (~(c2_1 (a1))) -> (~(c0_1 (a1))) -> (c3_1 (a1)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> False). % 1.37/1.50 do 0 intro. intros zenon_H217 zenon_H213 zenon_H1a3 zenon_H3 zenon_Hb zenon_H95 zenon_H17a zenon_H17b zenon_H177 zenon_H167 zenon_H14a zenon_H256 zenon_H255 zenon_H254 zenon_H130 zenon_Hde zenon_H162 zenon_H166 zenon_H11f zenon_H120 zenon_H121 zenon_H12a zenon_H1da zenon_H277 zenon_H1c2 zenon_H2fd zenon_H2fb zenon_H304 zenon_H1ee zenon_H1c6 zenon_Hd3 zenon_H1c1 zenon_H93 zenon_H9c. % 1.37/1.50 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H1a. zenon_intro zenon_H218. % 1.37/1.50 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_He0. zenon_intro zenon_H219. % 1.37/1.50 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_Hc2. zenon_intro zenon_Hc1. % 1.37/1.50 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H91 | zenon_intro zenon_He5 ]. % 1.37/1.50 apply (zenon_L1291_); trivial. % 1.37/1.50 apply (zenon_and_s _ _ zenon_He5). zenon_intro zenon_H1a. zenon_intro zenon_He6. % 1.37/1.50 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_Hb0. zenon_intro zenon_He7. % 1.37/1.50 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hae. zenon_intro zenon_Haf. % 1.37/1.50 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.37/1.50 apply (zenon_L411_); trivial. % 1.37/1.50 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.37/1.50 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.37/1.50 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.37/1.50 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.37/1.50 apply (zenon_L1234_); trivial. % 1.37/1.50 apply (zenon_L280_); trivial. % 1.37/1.50 (* end of lemma zenon_L1292_ *) % 1.37/1.50 assert (zenon_L1293_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c3_1 W)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> (~(hskp2)) -> (~(hskp14)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((hskp2)\/(hskp14))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp10)) -> (~(c1_1 (a31))) -> (c2_1 (a31)) -> (c0_1 (a31)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> (ndr1_0) -> (~(c0_1 (a1))) -> (c3_1 (a1)) -> (~(c2_1 (a1))) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> (~(hskp15)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (~(c2_1 (a16))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp19)) -> (~(hskp13)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/(hskp13))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> False). % 1.37/1.50 do 0 intro. intros zenon_H1da zenon_H167 zenon_H277 zenon_H1c2 zenon_H1ee zenon_Hfe zenon_H100 zenon_H113 zenon_H43 zenon_H2d zenon_H32 zenon_H33 zenon_H3c zenon_H1c6 zenon_H1a zenon_H2fb zenon_H304 zenon_H2fd zenon_H254 zenon_H255 zenon_H256 zenon_H146 zenon_H149 zenon_Hfc zenon_Heb zenon_Hea zenon_He9 zenon_H14a zenon_H144 zenon_H5 zenon_H247 zenon_H1c1. % 1.37/1.50 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.37/1.50 apply (zenon_L1256_); trivial. % 1.37/1.50 apply (zenon_L1249_); trivial. % 1.37/1.50 (* end of lemma zenon_L1293_ *) % 1.37/1.50 assert (zenon_L1294_ : ((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp15)) -> (~(c2_1 (a14))) -> (c0_1 (a14)) -> (c3_1 (a14)) -> (~(c0_1 (a1))) -> (c3_1 (a1)) -> (~(c2_1 (a1))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (~(hskp11)) -> (~(c1_1 (a31))) -> (c2_1 (a31)) -> (c0_1 (a31)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp10)) -> False). % 1.37/1.50 do 0 intro. intros zenon_H176 zenon_H43 zenon_H146 zenon_H11f zenon_H120 zenon_H121 zenon_H2fb zenon_H304 zenon_H2fd zenon_H149 zenon_H91 zenon_H32 zenon_H33 zenon_H3c zenon_H93 zenon_H2d. % 1.37/1.50 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1a. zenon_intro zenon_H178. % 1.37/1.50 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H16a. zenon_intro zenon_H179. % 1.37/1.50 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H171. zenon_intro zenon_H168. % 1.37/1.50 apply (zenon_or_s _ _ zenon_H43); [ zenon_intro zenon_H1b | zenon_intro zenon_H47 ]. % 1.37/1.50 apply (zenon_L1179_); trivial. % 1.37/1.50 apply (zenon_or_s _ _ zenon_H47); [ zenon_intro zenon_H31 | zenon_intro zenon_H2e ]. % 1.37/1.50 apply (zenon_L106_); trivial. % 1.37/1.50 exact (zenon_H2d zenon_H2e). % 1.37/1.50 (* end of lemma zenon_L1294_ *) % 1.37/1.50 assert (zenon_L1295_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(~(c3_1 (a25))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (~(c2_1 (a6))) -> ((hskp25)\/((hskp17)\/(hskp21))) -> (~(hskp1)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> (ndr1_0) -> (~(c2_1 (a14))) -> (c0_1 (a14)) -> (c3_1 (a14)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c3_1 W)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> (~(hskp2)) -> (~(hskp14)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((hskp2)\/(hskp14))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> (~(c0_1 (a1))) -> (c3_1 (a1)) -> (~(c2_1 (a1))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (~(c2_1 (a16))) -> (~(hskp13)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/(hskp13))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp11)) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> False). % 1.37/1.50 do 0 intro. intros zenon_H1a2 zenon_H1f0 zenon_Hd3 zenon_H17a zenon_H17b zenon_H177 zenon_H167 zenon_H14a zenon_H256 zenon_H255 zenon_H254 zenon_H130 zenon_Hde zenon_H162 zenon_H166 zenon_H1a zenon_H11f zenon_H120 zenon_H121 zenon_H12a zenon_H1da zenon_H277 zenon_H1c2 zenon_H1ee zenon_Hfe zenon_H100 zenon_H113 zenon_H43 zenon_H2d zenon_H1c6 zenon_H2fb zenon_H304 zenon_H2fd zenon_H149 zenon_Hfc zenon_Heb zenon_Hea zenon_He9 zenon_H5 zenon_H247 zenon_H1c1 zenon_H93 zenon_H91 zenon_H9c. % 1.37/1.50 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H146 | zenon_intro zenon_H19f ]. % 1.37/1.50 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.37/1.50 apply (zenon_L411_); trivial. % 1.37/1.50 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.37/1.50 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.37/1.50 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.37/1.50 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.37/1.50 apply (zenon_L1293_); trivial. % 1.37/1.50 apply (zenon_L1294_); trivial. % 1.37/1.50 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H1a. zenon_intro zenon_H1a0. % 1.37/1.50 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H18f. zenon_intro zenon_H1a1. % 1.37/1.50 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H19a. zenon_intro zenon_H18e. % 1.37/1.50 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.37/1.50 apply (zenon_L411_); trivial. % 1.37/1.50 apply (zenon_L1251_); trivial. % 1.37/1.50 (* end of lemma zenon_L1295_ *) % 1.37/1.50 assert (zenon_L1296_ : ((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> (c0_1 (a14)) -> (~(c2_1 (a14))) -> (c3_1 (a14)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (~(hskp15)) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (~(c2_1 (a6))) -> (~(c2_1 (a1))) -> (c3_1 (a1)) -> (~(c0_1 (a1))) -> (~(c1_1 (a31))) -> (c2_1 (a31)) -> (c0_1 (a31)) -> (~(hskp10)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (~(c2_1 (a16))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp19)) -> (~(hskp13)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/(hskp13))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> False). % 1.37/1.51 do 0 intro. intros zenon_H1d7 zenon_H167 zenon_H120 zenon_H11f zenon_H121 zenon_H1ee zenon_H149 zenon_H146 zenon_H256 zenon_H255 zenon_H254 zenon_H2fd zenon_H304 zenon_H2fb zenon_H32 zenon_H33 zenon_H3c zenon_H2d zenon_H43 zenon_H1c2 zenon_Hfc zenon_Heb zenon_Hea zenon_He9 zenon_H14a zenon_H144 zenon_H5 zenon_H247 zenon_H1c1. % 1.37/1.51 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H1a. zenon_intro zenon_H1d8. % 1.37/1.51 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1d0. zenon_intro zenon_H1d9. % 1.37/1.51 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1ce. zenon_intro zenon_H1cf. % 1.37/1.51 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H12c | zenon_intro zenon_H148 ]. % 1.37/1.51 apply (zenon_L1259_); trivial. % 1.37/1.51 apply (zenon_L86_); trivial. % 1.37/1.51 (* end of lemma zenon_L1296_ *) % 1.37/1.51 assert (zenon_L1297_ : ((ndr1_0)/\((c2_1 (a24))/\((~(c0_1 (a24)))/\(~(c1_1 (a24)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(~(c3_1 (a25))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp24))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> (~(hskp1)) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (~(c2_1 (a6))) -> ((hskp25)\/((hskp17)\/(hskp21))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (~(c2_1 (a1))) -> (c3_1 (a1)) -> (~(c0_1 (a1))) -> (~(hskp10)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> (c0_1 (a14)) -> (~(c2_1 (a14))) -> (c3_1 (a14)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (~(c2_1 (a16))) -> (~(hskp13)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/(hskp13))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp11)) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> False). % 1.37/1.51 do 0 intro. intros zenon_H10d zenon_H1a2 zenon_Hd3 zenon_H1f8 zenon_H95 zenon_H1e0 zenon_H48 zenon_H12a zenon_H162 zenon_Hde zenon_H17a zenon_H17b zenon_H177 zenon_H167 zenon_H14a zenon_H256 zenon_H255 zenon_H254 zenon_H130 zenon_H149 zenon_H2fd zenon_H304 zenon_H2fb zenon_H2d zenon_H43 zenon_H166 zenon_H1da zenon_H120 zenon_H11f zenon_H121 zenon_H1ee zenon_H1c2 zenon_H1c6 zenon_Hfc zenon_Heb zenon_Hea zenon_He9 zenon_H5 zenon_H247 zenon_H1c1 zenon_H93 zenon_H91 zenon_H9c. % 1.37/1.51 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_H1a. zenon_intro zenon_H10f. % 1.37/1.51 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H104. zenon_intro zenon_H110. % 1.37/1.51 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_H102. zenon_intro zenon_H103. % 1.37/1.51 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H146 | zenon_intro zenon_H19f ]. % 1.37/1.51 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.37/1.51 apply (zenon_L1255_); trivial. % 1.37/1.51 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.37/1.51 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.37/1.51 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.37/1.51 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.37/1.51 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.37/1.51 apply (zenon_L1256_); trivial. % 1.37/1.51 apply (zenon_L1296_); trivial. % 1.37/1.51 apply (zenon_L1294_); trivial. % 1.37/1.51 apply (zenon_L670_); trivial. % 1.37/1.51 (* end of lemma zenon_L1297_ *) % 1.37/1.51 assert (zenon_L1298_ : ((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> (~(c2_1 (a16))) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> (~(hskp2)) -> (~(hskp14)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((hskp2)\/(hskp14))) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c3_1 W)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> (c2_1 (a19)) -> (~(c3_1 (a19))) -> (~(c1_1 (a19))) -> (~(c2_1 (a1))) -> (~(c0_1 (a1))) -> (c3_1 (a1)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> False). % 1.37/1.51 do 0 intro. intros zenon_H1d7 zenon_H167 zenon_H1f0 zenon_He9 zenon_Hea zenon_Heb zenon_Hfe zenon_H100 zenon_H113 zenon_H254 zenon_H255 zenon_H256 zenon_H277 zenon_H1c2 zenon_Hb0 zenon_Haf zenon_Hae zenon_H2fd zenon_H2fb zenon_H304 zenon_H1ee zenon_Hd3 zenon_H1c1. % 1.37/1.51 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H1a. zenon_intro zenon_H1d8. % 1.37/1.51 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1d0. zenon_intro zenon_H1d9. % 1.37/1.51 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1ce. zenon_intro zenon_H1cf. % 1.37/1.51 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H12c | zenon_intro zenon_H148 ]. % 1.37/1.51 apply (zenon_L1185_); trivial. % 1.37/1.51 apply (zenon_L433_); trivial. % 1.37/1.51 (* end of lemma zenon_L1298_ *) % 1.37/1.51 assert (zenon_L1299_ : ((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(~(c3_1 (a25)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> (~(c2_1 (a16))) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> (~(hskp2)) -> (~(hskp14)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((hskp2)\/(hskp14))) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c3_1 W)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> (~(c2_1 (a1))) -> (~(c0_1 (a1))) -> (c3_1 (a1)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> (c2_1 (a19)) -> (~(c1_1 (a19))) -> (~(c3_1 (a19))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp24))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> False). % 1.37/1.51 do 0 intro. intros zenon_H19f zenon_H1da zenon_H167 zenon_H1f0 zenon_He9 zenon_Hea zenon_Heb zenon_Hfe zenon_H100 zenon_H113 zenon_H254 zenon_H255 zenon_H256 zenon_H277 zenon_H1c2 zenon_H2fd zenon_H2fb zenon_H304 zenon_H1ee zenon_H1c1 zenon_Hd3 zenon_H1c6 zenon_Hb0 zenon_Hae zenon_Haf zenon_H1f8 zenon_H177 zenon_H48. % 1.37/1.51 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H1a. zenon_intro zenon_H1a0. % 1.37/1.51 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H18f. zenon_intro zenon_H1a1. % 1.37/1.51 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H19a. zenon_intro zenon_H18e. % 1.37/1.51 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.37/1.51 apply (zenon_L661_); trivial. % 1.37/1.51 apply (zenon_L1298_); trivial. % 1.37/1.51 (* end of lemma zenon_L1299_ *) % 1.37/1.51 assert (zenon_L1300_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(~(c3_1 (a25))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (c2_1 (a19)) -> (~(c1_1 (a19))) -> (~(c3_1 (a19))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp24))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp10)) -> (~(c0_1 (a1))) -> (c3_1 (a1)) -> (~(c2_1 (a1))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> ((hskp25)\/((hskp17)\/(hskp21))) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a11))/\((c1_1 (a11))/\(c3_1 (a11)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((hskp2)\/(hskp14))) -> (~(hskp14)) -> (~(hskp2)) -> (~(c2_1 (a16))) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp27)\/(hskp26))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c3_1 W)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> False). % 1.37/1.51 do 0 intro. intros zenon_H1a2 zenon_Hd3 zenon_Hb0 zenon_Hae zenon_Haf zenon_H1f8 zenon_H48 zenon_H17a zenon_H177 zenon_H166 zenon_H43 zenon_H2d zenon_H2fb zenon_H304 zenon_H2fd zenon_H149 zenon_H130 zenon_H254 zenon_H255 zenon_H256 zenon_H14a zenon_H167 zenon_H97 zenon_H113 zenon_H100 zenon_Hfe zenon_He9 zenon_Hea zenon_Heb zenon_Hfc zenon_H12a zenon_H1f2 zenon_H1c1 zenon_H17b zenon_H1c6 zenon_H1ee zenon_H1c2 zenon_H277 zenon_H1f0 zenon_H1da zenon_H9c. % 1.37/1.51 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H146 | zenon_intro zenon_H19f ]. % 1.37/1.51 apply (zenon_L1248_); trivial. % 1.37/1.51 apply (zenon_L1299_); trivial. % 1.37/1.51 (* end of lemma zenon_L1300_ *) % 1.37/1.51 assert (zenon_L1301_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> (~(c2_1 (a16))) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> (~(hskp2)) -> (~(hskp14)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((hskp2)\/(hskp14))) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c3_1 W)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> (~(c2_1 (a1))) -> (~(c0_1 (a1))) -> (c3_1 (a1)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> (c2_1 (a18)) -> (c0_1 (a18)) -> (~(c3_1 (a18))) -> (ndr1_0) -> (~(c1_1 (a19))) -> (~(c3_1 (a19))) -> (c2_1 (a19)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> False). % 1.37/1.51 do 0 intro. intros zenon_H1da zenon_H167 zenon_H1f0 zenon_He9 zenon_Hea zenon_Heb zenon_Hfe zenon_H100 zenon_H113 zenon_H254 zenon_H255 zenon_H256 zenon_H277 zenon_H1c2 zenon_H2fd zenon_H2fb zenon_H304 zenon_H1ee zenon_H1c6 zenon_Hc2 zenon_He0 zenon_Hc1 zenon_H1a zenon_Hae zenon_Haf zenon_Hb0 zenon_Hd3 zenon_H1c1. % 1.37/1.51 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.37/1.51 apply (zenon_L279_); trivial. % 1.37/1.51 apply (zenon_L1298_); trivial. % 1.37/1.51 (* end of lemma zenon_L1301_ *) % 1.37/1.51 assert (zenon_L1302_ : ((ndr1_0)/\((c0_1 (a18))/\((c2_1 (a18))/\(~(c3_1 (a18)))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a19))/\((~(c1_1 (a19)))/\(~(c3_1 (a19))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a24))/\((~(c0_1 (a24)))/\(~(c1_1 (a24))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((hskp2)\/(hskp14))) -> (~(hskp2)) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (~(c2_1 (a16))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (~(c2_1 (a6))) -> ((hskp25)\/((hskp17)\/(hskp21))) -> (~(hskp1)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> (~(c2_1 (a14))) -> (c0_1 (a14)) -> (c3_1 (a14)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c3_1 W)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> (~(c2_1 (a1))) -> (~(c0_1 (a1))) -> (c3_1 (a1)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> False). % 1.37/1.51 do 0 intro. intros zenon_H217 zenon_H213 zenon_H112 zenon_H95 zenon_H113 zenon_Hfe zenon_Heb zenon_Hea zenon_He9 zenon_H1f0 zenon_H17a zenon_H17b zenon_H177 zenon_H167 zenon_H14a zenon_H256 zenon_H255 zenon_H254 zenon_H130 zenon_Hde zenon_H162 zenon_H166 zenon_H11f zenon_H120 zenon_H121 zenon_H12a zenon_H1da zenon_H277 zenon_H1c2 zenon_H2fd zenon_H2fb zenon_H304 zenon_H1ee zenon_H1c6 zenon_Hd3 zenon_H1c1 zenon_H93 zenon_H9c. % 1.37/1.51 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H1a. zenon_intro zenon_H218. % 1.37/1.51 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_He0. zenon_intro zenon_H219. % 1.37/1.51 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_Hc2. zenon_intro zenon_Hc1. % 1.37/1.51 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H91 | zenon_intro zenon_He5 ]. % 1.37/1.51 apply (zenon_L1291_); trivial. % 1.37/1.51 apply (zenon_and_s _ _ zenon_He5). zenon_intro zenon_H1a. zenon_intro zenon_He6. % 1.37/1.51 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_Hb0. zenon_intro zenon_He7. % 1.37/1.51 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hae. zenon_intro zenon_Haf. % 1.37/1.51 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_H100 | zenon_intro zenon_H10d ]. % 1.37/1.51 apply (zenon_L1301_); trivial. % 1.37/1.51 apply (zenon_L1277_); trivial. % 1.37/1.51 (* end of lemma zenon_L1302_ *) % 1.37/1.51 assert (zenon_L1303_ : ((ndr1_0)/\((c0_1 (a18))/\((c2_1 (a18))/\(~(c3_1 (a18)))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a19))/\((~(c1_1 (a19)))/\(~(c3_1 (a19))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a24))/\((~(c0_1 (a24)))/\(~(c1_1 (a24))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (c0_1 (a15)) -> (~(hskp2)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((hskp2)\/(hskp14))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (~(c2_1 (a6))) -> ((hskp25)\/((hskp17)\/(hskp21))) -> (~(hskp1)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> (~(c2_1 (a14))) -> (c0_1 (a14)) -> (c3_1 (a14)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c3_1 W)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> (~(c2_1 (a1))) -> (~(c0_1 (a1))) -> (c3_1 (a1)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> False). % 1.37/1.51 do 0 intro. intros zenon_H217 zenon_H213 zenon_H112 zenon_H95 zenon_H115 zenon_H116 zenon_H117 zenon_Hfe zenon_H113 zenon_H17a zenon_H17b zenon_H177 zenon_H167 zenon_H14a zenon_H256 zenon_H255 zenon_H254 zenon_H130 zenon_Hde zenon_H162 zenon_H166 zenon_H11f zenon_H120 zenon_H121 zenon_H12a zenon_H1da zenon_H277 zenon_H1c2 zenon_H2fd zenon_H2fb zenon_H304 zenon_H1ee zenon_H1c6 zenon_Hd3 zenon_H1c1 zenon_H93 zenon_H9c. % 1.37/1.51 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H1a. zenon_intro zenon_H218. % 1.37/1.51 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_He0. zenon_intro zenon_H219. % 1.37/1.51 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_Hc2. zenon_intro zenon_Hc1. % 1.37/1.51 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H91 | zenon_intro zenon_He5 ]. % 1.37/1.51 apply (zenon_L1291_); trivial. % 1.37/1.51 apply (zenon_L1278_); trivial. % 1.37/1.51 (* end of lemma zenon_L1303_ *) % 1.37/1.51 assert (zenon_L1304_ : ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (c3_1 (a1)) -> (forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13)))))) -> (~(c0_1 (a1))) -> (c2_1 (a24)) -> (~(c1_1 (a24))) -> (~(c0_1 (a24))) -> (ndr1_0) -> (forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16)))))) -> (~(hskp10)) -> False). % 1.37/1.51 do 0 intro. intros zenon_H43 zenon_H304 zenon_H1a5 zenon_H2fb zenon_H104 zenon_H103 zenon_H102 zenon_H1a zenon_H1ab zenon_H2d. % 1.37/1.51 apply (zenon_or_s _ _ zenon_H43); [ zenon_intro zenon_H1b | zenon_intro zenon_H47 ]. % 1.37/1.51 apply (zenon_L1160_); trivial. % 1.37/1.51 apply (zenon_or_s _ _ zenon_H47); [ zenon_intro zenon_H31 | zenon_intro zenon_H2e ]. % 1.37/1.51 apply (zenon_L423_); trivial. % 1.37/1.51 exact (zenon_H2d zenon_H2e). % 1.37/1.51 (* end of lemma zenon_L1304_ *) % 1.37/1.51 assert (zenon_L1305_ : ((ndr1_0)/\((c2_1 (a24))/\((~(c0_1 (a24)))/\(~(c1_1 (a24)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> (~(c3_1 (a5))) -> (~(c2_1 (a5))) -> (~(c1_1 (a5))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (c3_1 (a1)) -> (~(c0_1 (a1))) -> (~(hskp10)) -> (~(c0_1 (a22))) -> (~(c2_1 (a22))) -> (~(c3_1 (a22))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(c3_1 X17))))))) -> (c0_1 (a15)) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> (~(hskp4)) -> False). % 1.37/1.51 do 0 intro. intros zenon_H10d zenon_H1a9 zenon_H29c zenon_H289 zenon_H288 zenon_H43 zenon_H304 zenon_H2fb zenon_H2d zenon_H80 zenon_H89 zenon_H81 zenon_H2a1 zenon_H117 zenon_H116 zenon_H115 zenon_Hd. % 1.37/1.51 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_H1a. zenon_intro zenon_H10f. % 1.37/1.51 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H104. zenon_intro zenon_H110. % 1.37/1.51 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_H102. zenon_intro zenon_H103. % 1.37/1.51 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H1aa ]. % 1.37/1.51 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H1e7 | zenon_intro zenon_H2a2 ]. % 1.37/1.51 apply (zenon_L221_); trivial. % 1.37/1.51 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H1ab | zenon_intro zenon_H29b ]. % 1.37/1.51 apply (zenon_L1304_); trivial. % 1.37/1.51 apply (zenon_L532_); trivial. % 1.37/1.51 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_Hf2 | zenon_intro zenon_He ]. % 1.37/1.51 apply (zenon_L73_); trivial. % 1.37/1.51 exact (zenon_Hd zenon_He). % 1.37/1.51 (* end of lemma zenon_L1305_ *) % 1.37/1.51 assert (zenon_L1306_ : ((ndr1_0)/\((c0_1 (a18))/\((c2_1 (a18))/\(~(c3_1 (a18)))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a19))/\((~(c1_1 (a19)))/\(~(c3_1 (a19))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(hskp7)) -> (~(hskp7)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((hskp2)\/(hskp14))) -> (~(hskp2)) -> (c0_1 (a15)) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c3_1 (a1)) -> (~(c0_1 (a1))) -> (~(c2_1 (a1))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((hskp25)\/((hskp17)\/(hskp21))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a24))/\((~(c0_1 (a24)))/\(~(c1_1 (a24))))))) -> False). % 1.37/1.51 do 0 intro. intros zenon_H217 zenon_H213 zenon_Hb7 zenon_H1 zenon_H113 zenon_Hfe zenon_H117 zenon_H116 zenon_H115 zenon_H17b zenon_H93 zenon_H1c1 zenon_H1a9 zenon_Hd zenon_H14a zenon_H304 zenon_H2fb zenon_H2fd zenon_Hd3 zenon_H1c6 zenon_H167 zenon_H130 zenon_H95 zenon_H166 zenon_H1da zenon_H1c2 zenon_H1ee zenon_H9c zenon_H112. % 1.37/1.51 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H1a. zenon_intro zenon_H218. % 1.37/1.51 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_He0. zenon_intro zenon_H219. % 1.37/1.51 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_Hc2. zenon_intro zenon_Hc1. % 1.37/1.51 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H91 | zenon_intro zenon_He5 ]. % 1.37/1.51 apply (zenon_L1230_); trivial. % 1.37/1.51 apply (zenon_L62_); trivial. % 1.37/1.51 (* end of lemma zenon_L1306_ *) % 1.37/1.51 assert (zenon_L1307_ : ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (c3_1 (a1)) -> (forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13)))))) -> (~(c0_1 (a1))) -> (c3_1 (a42)) -> (c2_1 (a42)) -> (~(c1_1 (a42))) -> (ndr1_0) -> (~(hskp10)) -> False). % 1.37/1.51 do 0 intro. intros zenon_H43 zenon_H304 zenon_H1a5 zenon_H2fb zenon_H15a zenon_H159 zenon_H158 zenon_H1a zenon_H2d. % 1.37/1.51 apply (zenon_or_s _ _ zenon_H43); [ zenon_intro zenon_H1b | zenon_intro zenon_H47 ]. % 1.37/1.51 apply (zenon_L1160_); trivial. % 1.37/1.51 apply (zenon_or_s _ _ zenon_H47); [ zenon_intro zenon_H31 | zenon_intro zenon_H2e ]. % 1.37/1.51 apply (zenon_L88_); trivial. % 1.37/1.51 exact (zenon_H2d zenon_H2e). % 1.37/1.51 (* end of lemma zenon_L1307_ *) % 1.37/1.51 assert (zenon_L1308_ : ((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> (~(hskp10)) -> (~(c0_1 (a1))) -> (c3_1 (a1)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (c0_1 (a15)) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> (~(hskp4)) -> False). % 1.37/1.51 do 0 intro. intros zenon_H161 zenon_H1a9 zenon_H2d zenon_H2fb zenon_H304 zenon_H43 zenon_H117 zenon_H116 zenon_H115 zenon_Hd. % 1.37/1.51 apply (zenon_and_s _ _ zenon_H161). zenon_intro zenon_H1a. zenon_intro zenon_H163. % 1.37/1.51 apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H159. zenon_intro zenon_H164. % 1.37/1.51 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H15a. zenon_intro zenon_H158. % 1.37/1.51 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H1aa ]. % 1.37/1.51 apply (zenon_L1307_); trivial. % 1.37/1.51 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_Hf2 | zenon_intro zenon_He ]. % 1.37/1.51 apply (zenon_L73_); trivial. % 1.37/1.51 exact (zenon_Hd zenon_He). % 1.37/1.51 (* end of lemma zenon_L1308_ *) % 1.37/1.51 assert (zenon_L1309_ : ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> (~(hskp10)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> ((hskp25)\/((hskp17)\/(hskp21))) -> (~(hskp17)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp19)) -> (c3_1 (a1)) -> (~(c0_1 (a1))) -> (~(c2_1 (a1))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (c0_1 (a15)) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> False). % 1.37/1.51 do 0 intro. intros zenon_H166 zenon_H2d zenon_H43 zenon_H130 zenon_H9 zenon_H14a zenon_H144 zenon_H304 zenon_H2fb zenon_H2fd zenon_H115 zenon_H116 zenon_H117 zenon_Hd zenon_H1a9 zenon_H167. % 1.37/1.51 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H12e | zenon_intro zenon_H161 ]. % 1.37/1.51 apply (zenon_L1222_); trivial. % 1.37/1.51 apply (zenon_L1308_); trivial. % 1.37/1.51 (* end of lemma zenon_L1309_ *) % 1.37/1.51 assert (zenon_L1310_ : ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> (~(hskp1)) -> (~(c3_1 (a32))) -> (~(c1_1 (a32))) -> (~(c0_1 (a32))) -> ((hskp25)\/((hskp17)\/(hskp21))) -> (~(hskp17)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp19)) -> (c3_1 (a1)) -> (~(c0_1 (a1))) -> (~(c2_1 (a1))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (c0_1 (a15)) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> False). % 1.37/1.51 do 0 intro. intros zenon_H166 zenon_H162 zenon_Hde zenon_H151 zenon_H150 zenon_H14f zenon_H130 zenon_H9 zenon_H14a zenon_H144 zenon_H304 zenon_H2fb zenon_H2fd zenon_H115 zenon_H116 zenon_H117 zenon_Hd zenon_H1a9 zenon_H167. % 1.37/1.51 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H12e | zenon_intro zenon_H161 ]. % 1.37/1.51 apply (zenon_L1222_); trivial. % 1.37/1.51 apply (zenon_L89_); trivial. % 1.37/1.51 (* end of lemma zenon_L1310_ *) % 1.37/1.51 assert (zenon_L1311_ : ((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp10)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> (~(hskp4)) -> (c0_1 (a15)) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> (~(c2_1 (a1))) -> (~(c0_1 (a1))) -> (c3_1 (a1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp17)) -> ((hskp25)\/((hskp17)\/(hskp21))) -> (~(hskp1)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> False). % 1.37/1.51 do 0 intro. intros zenon_H17c zenon_H17b zenon_H177 zenon_H43 zenon_H2d zenon_H167 zenon_H1a9 zenon_Hd zenon_H117 zenon_H116 zenon_H115 zenon_H2fd zenon_H2fb zenon_H304 zenon_H14a zenon_H9 zenon_H130 zenon_Hde zenon_H162 zenon_H166. % 1.37/1.51 apply (zenon_and_s _ _ zenon_H17c). zenon_intro zenon_H1a. zenon_intro zenon_H17d. % 1.37/1.51 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H14f. zenon_intro zenon_H17e. % 1.37/1.51 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_H150. zenon_intro zenon_H151. % 1.37/1.51 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.37/1.51 apply (zenon_L1310_); trivial. % 1.37/1.51 apply (zenon_L791_); trivial. % 1.37/1.51 (* end of lemma zenon_L1311_ *) % 1.37/1.51 assert (zenon_L1312_ : ((ndr1_0)/\((c0_1 (a16))/\((~(c2_1 (a16)))/\(~(c3_1 (a16)))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a18))/\((c2_1 (a18))/\(~(c3_1 (a18))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a19))/\((~(c1_1 (a19)))/\(~(c3_1 (a19))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(hskp7)) -> (~(hskp7)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((hskp2)\/(hskp14))) -> (~(hskp2)) -> (c0_1 (a15)) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> (~(hskp1)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> ((hskp25)\/((hskp17)\/(hskp21))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c3_1 (a1)) -> (~(c0_1 (a1))) -> (~(c2_1 (a1))) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a11))/\((c1_1 (a11))/\(c3_1 (a11)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp27)\/(hskp26))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a24))/\((~(c0_1 (a24)))/\(~(c1_1 (a24))))))) -> False). % 1.37/1.51 do 0 intro. intros zenon_H216 zenon_H212 zenon_H213 zenon_Hb7 zenon_H1 zenon_H93 zenon_Hd3 zenon_H1c6 zenon_H95 zenon_H1da zenon_H1c2 zenon_H1ee zenon_H113 zenon_Hfe zenon_H117 zenon_H116 zenon_H115 zenon_H17a zenon_Hde zenon_H162 zenon_H166 zenon_H43 zenon_H130 zenon_H14a zenon_H304 zenon_H2fb zenon_H2fd zenon_Hd zenon_H1a9 zenon_H167 zenon_H97 zenon_H177 zenon_Hfc zenon_H12a zenon_H1f2 zenon_H1c1 zenon_H17b zenon_H42 zenon_H9c zenon_H112. % 1.37/1.51 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_H1a. zenon_intro zenon_H21a. % 1.37/1.51 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_Heb. zenon_intro zenon_H21b. % 1.37/1.51 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_He9. zenon_intro zenon_Hea. % 1.37/1.51 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H2d | zenon_intro zenon_H217 ]. % 1.37/1.51 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_H100 | zenon_intro zenon_H10d ]. % 1.37/1.51 apply (zenon_L74_); trivial. % 1.37/1.51 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_H1a. zenon_intro zenon_H10f. % 1.37/1.51 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H104. zenon_intro zenon_H110. % 1.37/1.51 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_H102. zenon_intro zenon_H103. % 1.37/1.51 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.37/1.51 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H128 | zenon_intro zenon_H17c ]. % 1.37/1.51 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.37/1.51 apply (zenon_L1309_); trivial. % 1.37/1.51 apply (zenon_L595_); trivial. % 1.37/1.51 apply (zenon_L1311_); trivial. % 1.37/1.51 apply (zenon_L1217_); trivial. % 1.37/1.51 apply (zenon_L1306_); trivial. % 1.37/1.51 (* end of lemma zenon_L1312_ *) % 1.37/1.51 assert (zenon_L1313_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> (c2_1 (a9)) -> (c1_1 (a9)) -> (c0_1 (a9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((hskp2)\/(hskp14))) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (~(c2_1 (a16))) -> (~(hskp2)) -> (~(hskp14)) -> (~(c0_1 (a37))) -> (~(c3_1 (a37))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> (c2_1 (a19)) -> (~(c3_1 (a19))) -> (~(c1_1 (a19))) -> (forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16)))))) -> (ndr1_0) -> (~(c2_1 (a1))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c0_1 (a1))) -> (c3_1 (a1)) -> False). % 1.37/1.51 do 0 intro. intros zenon_H1ee zenon_H13d zenon_H13c zenon_H13b zenon_H113 zenon_Heb zenon_Hea zenon_He9 zenon_Hfe zenon_H100 zenon_H1ce zenon_H1cf zenon_H1f0 zenon_Hb0 zenon_Haf zenon_Hae zenon_H1ab zenon_H1a zenon_H2fd zenon_H4b zenon_H2fb zenon_H304. % 1.37/1.51 apply (zenon_or_s _ _ zenon_H1ee); [ zenon_intro zenon_H1e7 | zenon_intro zenon_H1ef ]. % 1.37/1.51 apply (zenon_L181_); trivial. % 1.37/1.51 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H3b | zenon_intro zenon_H6d ]. % 1.37/1.51 apply (zenon_L130_); trivial. % 1.37/1.51 apply (zenon_L1150_); trivial. % 1.37/1.51 (* end of lemma zenon_L1313_ *) % 1.37/1.51 assert (zenon_L1314_ : ((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> (~(c2_1 (a16))) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> (~(hskp2)) -> (~(hskp14)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((hskp2)\/(hskp14))) -> (~(c1_1 (a5))) -> (~(c2_1 (a5))) -> (~(c3_1 (a5))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(c3_1 X17))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c3_1 W)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> (c2_1 (a19)) -> (~(c3_1 (a19))) -> (~(c1_1 (a19))) -> (~(c2_1 (a1))) -> (~(c0_1 (a1))) -> (c3_1 (a1)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> False). % 1.37/1.51 do 0 intro. intros zenon_H1d7 zenon_H167 zenon_H1f0 zenon_He9 zenon_Hea zenon_Heb zenon_Hfe zenon_H100 zenon_H113 zenon_H288 zenon_H289 zenon_H29c zenon_H2a1 zenon_H277 zenon_H1c2 zenon_Hb0 zenon_Haf zenon_Hae zenon_H2fd zenon_H2fb zenon_H304 zenon_H1ee zenon_Hd3 zenon_H1c1. % 1.37/1.51 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H1a. zenon_intro zenon_H1d8. % 1.37/1.51 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1d0. zenon_intro zenon_H1d9. % 1.37/1.51 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1ce. zenon_intro zenon_H1cf. % 1.37/1.51 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H12c | zenon_intro zenon_H148 ]. % 1.37/1.51 apply (zenon_L1185_); trivial. % 1.37/1.51 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H1a. zenon_intro zenon_H14b. % 1.37/1.51 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H13b. zenon_intro zenon_H14c. % 1.37/1.51 apply (zenon_and_s _ _ zenon_H14c). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 1.37/1.51 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H4b | zenon_intro zenon_H278 ]. % 1.37/1.51 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H1e7 | zenon_intro zenon_H2a2 ]. % 1.37/1.51 apply (zenon_L181_); trivial. % 1.37/1.51 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H1ab | zenon_intro zenon_H29b ]. % 1.37/1.51 apply (zenon_L1313_); trivial. % 1.37/1.51 apply (zenon_L532_); trivial. % 1.37/1.51 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H1e7 | zenon_intro zenon_H69 ]. % 1.37/1.51 apply (zenon_L181_); trivial. % 1.37/1.51 apply (zenon_L1151_); trivial. % 1.37/1.51 (* end of lemma zenon_L1314_ *) % 1.37/1.51 assert (zenon_L1315_ : ((ndr1_0)/\((c2_1 (a19))/\((~(c1_1 (a19)))/\(~(c3_1 (a19)))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c0_1 (a22)))/\((~(c2_1 (a22)))/\(~(c3_1 (a22))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(c3_1 X17))))))) -> (~(c3_1 (a5))) -> (~(c2_1 (a5))) -> (~(c1_1 (a5))) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> (~(hskp4)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> (~(hskp7)) -> (~(hskp9)) -> ((hskp7)\/((hskp9)\/(hskp13))) -> False). % 1.37/1.51 do 0 intro. intros zenon_He5 zenon_H287 zenon_H2a1 zenon_H29c zenon_H289 zenon_H288 zenon_H233 zenon_H234 zenon_H235 zenon_Hd zenon_H42 zenon_H1 zenon_H3 zenon_H7. % 1.37/1.51 apply (zenon_and_s _ _ zenon_He5). zenon_intro zenon_H1a. zenon_intro zenon_He6. % 1.37/1.51 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_Hb0. zenon_intro zenon_He7. % 1.37/1.51 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hae. zenon_intro zenon_Haf. % 1.37/1.51 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H5 | zenon_intro zenon_H284 ]. % 1.37/1.51 apply (zenon_L4_); trivial. % 1.37/1.51 apply (zenon_L1119_); trivial. % 1.37/1.51 (* end of lemma zenon_L1315_ *) % 1.37/1.51 assert (zenon_L1316_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> (~(hskp1)) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> (c2_1 (a18)) -> (c0_1 (a18)) -> (~(c3_1 (a18))) -> (ndr1_0) -> (~(c0_1 (a24))) -> (~(c1_1 (a24))) -> (c2_1 (a24)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> (~(hskp4)) -> (~(c2_1 (a16))) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp19)) -> (c3_1 (a1)) -> (~(c0_1 (a1))) -> (~(c2_1 (a1))) -> (~(c1_1 (a31))) -> (c0_1 (a31)) -> (c2_1 (a31)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> False). % 1.37/1.51 do 0 intro. intros zenon_H1da zenon_H162 zenon_Hde zenon_H233 zenon_H234 zenon_H235 zenon_H42 zenon_H95 zenon_H1c6 zenon_Hc2 zenon_He0 zenon_Hc1 zenon_H1a zenon_H102 zenon_H103 zenon_H104 zenon_H1a9 zenon_Hd zenon_He9 zenon_Hea zenon_Heb zenon_Hfc zenon_H14a zenon_H144 zenon_H304 zenon_H2fb zenon_H2fd zenon_H32 zenon_H3c zenon_H33 zenon_Hd3 zenon_H1e0 zenon_H1c1. % 1.37/1.51 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.37/1.51 apply (zenon_L1174_); trivial. % 1.37/1.51 apply (zenon_L316_); trivial. % 1.37/1.51 (* end of lemma zenon_L1316_ *) % 1.37/1.51 assert (zenon_L1317_ : ((ndr1_0)/\((c2_1 (a24))/\((~(c0_1 (a24)))/\(~(c1_1 (a24)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp11)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(c2_1 (a1))) -> (~(c0_1 (a1))) -> (c3_1 (a1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (~(c2_1 (a16))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> (~(c3_1 (a18))) -> (c0_1 (a18)) -> (c2_1 (a18)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> (~(hskp1)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> (~(hskp8)) -> (~(hskp4)) -> ((hskp17)\/((hskp8)\/(hskp4))) -> False). % 1.37/1.51 do 0 intro. intros zenon_H10d zenon_H9c zenon_H17b zenon_H93 zenon_H91 zenon_H1c1 zenon_H1e0 zenon_Hd3 zenon_H2fd zenon_H2fb zenon_H304 zenon_H14a zenon_Hfc zenon_Heb zenon_Hea zenon_He9 zenon_H1a9 zenon_Hc1 zenon_He0 zenon_Hc2 zenon_H1c6 zenon_H95 zenon_H42 zenon_H235 zenon_H234 zenon_H233 zenon_Hde zenon_H162 zenon_H1da zenon_Hb zenon_Hd zenon_Hf. % 1.37/1.51 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_H1a. zenon_intro zenon_H10f. % 1.37/1.51 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H104. zenon_intro zenon_H110. % 1.37/1.51 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_H102. zenon_intro zenon_H103. % 1.37/1.51 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.37/1.51 apply (zenon_L8_); trivial. % 1.37/1.51 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.37/1.51 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.37/1.51 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.37/1.51 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.37/1.51 apply (zenon_L1316_); trivial. % 1.37/1.51 apply (zenon_L153_); trivial. % 1.37/1.51 (* end of lemma zenon_L1317_ *) % 1.37/1.51 assert (zenon_L1318_ : ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp10)) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> ((hskp25)\/((hskp17)\/(hskp21))) -> (~(hskp17)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp19)) -> (c3_1 (a1)) -> (~(c0_1 (a1))) -> (~(c2_1 (a1))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (c0_1 (a15)) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> False). % 1.37/1.51 do 0 intro. intros zenon_H166 zenon_H43 zenon_H2d zenon_H235 zenon_H234 zenon_H233 zenon_H130 zenon_H9 zenon_H14a zenon_H144 zenon_H304 zenon_H2fb zenon_H2fd zenon_H115 zenon_H116 zenon_H117 zenon_Hd zenon_H1a9 zenon_H167. % 1.37/1.51 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H12e | zenon_intro zenon_H161 ]. % 1.37/1.51 apply (zenon_L1222_); trivial. % 1.37/1.51 apply (zenon_L461_); trivial. % 1.37/1.51 (* end of lemma zenon_L1318_ *) % 1.37/1.51 assert (zenon_L1319_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> (~(c0_1 (a24))) -> (~(c1_1 (a24))) -> (c2_1 (a24)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> (~(hskp4)) -> (c0_1 (a15)) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> (~(c2_1 (a1))) -> (~(c0_1 (a1))) -> (c3_1 (a1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp17)) -> ((hskp25)\/((hskp17)\/(hskp21))) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> (~(hskp10)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> False). % 1.37/1.51 do 0 intro. intros zenon_H17b zenon_H177 zenon_H102 zenon_H103 zenon_H104 zenon_H167 zenon_H1a9 zenon_Hd zenon_H117 zenon_H116 zenon_H115 zenon_H2fd zenon_H2fb zenon_H304 zenon_H14a zenon_H9 zenon_H130 zenon_H233 zenon_H234 zenon_H235 zenon_H2d zenon_H43 zenon_H166. % 1.37/1.51 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.37/1.51 apply (zenon_L1318_); trivial. % 1.37/1.51 apply (zenon_L459_); trivial. % 1.37/1.51 (* end of lemma zenon_L1319_ *) % 1.37/1.51 assert (zenon_L1320_ : ((ndr1_0)/\((c0_1 (a15))/\((~(c1_1 (a15)))/\(~(c2_1 (a15)))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a18))/\((c2_1 (a18))/\(~(c3_1 (a18))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a19))/\((~(c1_1 (a19)))/\(~(c3_1 (a19))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(hskp7)) -> (~(hskp7)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((hskp2)\/(hskp14))) -> (~(hskp2)) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> (~(hskp4)) -> (~(c2_1 (a1))) -> (~(c0_1 (a1))) -> (c3_1 (a1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((hskp25)\/((hskp17)\/(hskp21))) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a24))/\((~(c0_1 (a24)))/\(~(c1_1 (a24))))))) -> False). % 1.37/1.51 do 0 intro. intros zenon_H20e zenon_H212 zenon_H213 zenon_Hb7 zenon_H1 zenon_H93 zenon_H1c1 zenon_Hd3 zenon_H1c6 zenon_H95 zenon_H1da zenon_H1c2 zenon_H1ee zenon_H113 zenon_Hfe zenon_H17b zenon_H177 zenon_H167 zenon_H1a9 zenon_Hd zenon_H2fd zenon_H2fb zenon_H304 zenon_H14a zenon_H130 zenon_H233 zenon_H234 zenon_H235 zenon_H43 zenon_H166 zenon_H42 zenon_H9c zenon_H112. % 1.37/1.51 apply (zenon_and_s _ _ zenon_H20e). zenon_intro zenon_H1a. zenon_intro zenon_H20f. % 1.37/1.51 apply (zenon_and_s _ _ zenon_H20f). zenon_intro zenon_H117. zenon_intro zenon_H210. % 1.37/1.51 apply (zenon_and_s _ _ zenon_H210). zenon_intro zenon_H115. zenon_intro zenon_H116. % 1.37/1.51 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H2d | zenon_intro zenon_H217 ]. % 1.37/1.51 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_H100 | zenon_intro zenon_H10d ]. % 1.37/1.51 apply (zenon_L74_); trivial. % 1.37/1.51 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_H1a. zenon_intro zenon_H10f. % 1.37/1.51 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H104. zenon_intro zenon_H110. % 1.37/1.51 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_H102. zenon_intro zenon_H103. % 1.37/1.51 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.37/1.51 apply (zenon_L1319_); trivial. % 1.37/1.51 apply (zenon_L244_); trivial. % 1.37/1.51 apply (zenon_L1306_); trivial. % 1.37/1.51 (* end of lemma zenon_L1320_ *) % 1.37/1.51 assert (zenon_L1321_ : ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp11)) -> (c2_1 (a18)) -> (c0_1 (a18)) -> (~(c3_1 (a18))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> (~(hskp4)) -> (~(c2_1 (a1))) -> (~(c0_1 (a1))) -> (c3_1 (a1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((hskp25)\/((hskp17)\/(hskp21))) -> (~(hskp1)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> (ndr1_0) -> (~(c2_1 (a14))) -> (c0_1 (a14)) -> (c3_1 (a14)) -> (~(hskp17)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> False). % 1.37/1.51 do 0 intro. intros zenon_H17a zenon_H17b zenon_H93 zenon_H91 zenon_Hc2 zenon_He0 zenon_Hc1 zenon_H167 zenon_H1a9 zenon_Hd zenon_H2fd zenon_H2fb zenon_H304 zenon_H14a zenon_H130 zenon_Hde zenon_H162 zenon_H166 zenon_H1a zenon_H11f zenon_H120 zenon_H121 zenon_H9 zenon_H12a. % 1.37/1.51 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H128 | zenon_intro zenon_H17c ]. % 1.37/1.51 apply (zenon_L78_); trivial. % 1.37/1.51 apply (zenon_and_s _ _ zenon_H17c). zenon_intro zenon_H1a. zenon_intro zenon_H17d. % 1.37/1.51 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H14f. zenon_intro zenon_H17e. % 1.37/1.51 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_H150. zenon_intro zenon_H151. % 1.37/1.51 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.37/1.51 apply (zenon_L1212_); trivial. % 1.37/1.51 apply (zenon_L153_); trivial. % 1.37/1.51 (* end of lemma zenon_L1321_ *) % 1.37/1.51 assert (zenon_L1322_ : ((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> (c3_1 (a1)) -> (~(c0_1 (a1))) -> (~(c2_1 (a1))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (c2_1 (a31)) -> (c0_1 (a31)) -> (~(c1_1 (a31))) -> (~(c2_1 (a14))) -> (c0_1 (a14)) -> (c3_1 (a14)) -> (c0_1 (a18)) -> (c2_1 (a18)) -> (~(c3_1 (a18))) -> (~(hskp19)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> (~(hskp4)) -> False). % 1.37/1.51 do 0 intro. intros zenon_H1be zenon_H1a9 zenon_H304 zenon_H2fb zenon_H2fd zenon_Hd3 zenon_H33 zenon_H3c zenon_H32 zenon_H11f zenon_H120 zenon_H121 zenon_He0 zenon_Hc2 zenon_Hc1 zenon_H144 zenon_H14a zenon_H233 zenon_H234 zenon_H235 zenon_H42 zenon_Hd. % 1.37/1.51 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H1a. zenon_intro zenon_H1bf. % 1.37/1.51 apply (zenon_and_s _ _ zenon_H1bf). zenon_intro zenon_H1b5. zenon_intro zenon_H1c0. % 1.37/1.51 apply (zenon_and_s _ _ zenon_H1c0). zenon_intro zenon_H1b6. zenon_intro zenon_H1b7. % 1.37/1.51 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H1aa ]. % 1.37/1.51 apply (zenon_L1171_); trivial. % 1.37/1.51 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_Hf2 | zenon_intro zenon_He ]. % 1.37/1.51 apply (zenon_L274_); trivial. % 1.37/1.51 exact (zenon_Hd zenon_He). % 1.37/1.51 (* end of lemma zenon_L1322_ *) % 1.37/1.51 assert (zenon_L1323_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> (c2_1 (a31)) -> (c0_1 (a31)) -> (~(c1_1 (a31))) -> (~(c2_1 (a14))) -> (c0_1 (a14)) -> (c3_1 (a14)) -> (~(hskp4)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp19)) -> (c3_1 (a1)) -> (~(c0_1 (a1))) -> (~(c2_1 (a1))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (ndr1_0) -> (~(c3_1 (a18))) -> (c0_1 (a18)) -> (c2_1 (a18)) -> (~(hskp20)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> False). % 1.37/1.51 do 0 intro. intros zenon_H1c1 zenon_H1a9 zenon_H233 zenon_H234 zenon_H235 zenon_H33 zenon_H3c zenon_H32 zenon_H11f zenon_H120 zenon_H121 zenon_Hd zenon_H42 zenon_H14a zenon_H144 zenon_H304 zenon_H2fb zenon_H2fd zenon_Hd3 zenon_H1a zenon_Hc1 zenon_He0 zenon_Hc2 zenon_H1c4 zenon_H1c6. % 1.37/1.51 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1be ]. % 1.37/1.51 apply (zenon_L197_); trivial. % 1.37/1.51 apply (zenon_L1322_); trivial. % 1.37/1.51 (* end of lemma zenon_L1323_ *) % 1.37/1.51 assert (zenon_L1324_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> (c3_1 (a14)) -> (c0_1 (a14)) -> (~(c2_1 (a14))) -> (ndr1_0) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> (~(hskp1)) -> ((hskp25)\/((hskp17)\/(hskp21))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c3_1 (a1)) -> (~(c0_1 (a1))) -> (~(c2_1 (a1))) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> (~(c3_1 (a18))) -> (c0_1 (a18)) -> (c2_1 (a18)) -> (~(hskp11)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> False). % 1.37/1.51 do 0 intro. intros zenon_H9c zenon_H1c1 zenon_H233 zenon_H234 zenon_H235 zenon_H42 zenon_Hd3 zenon_H1c6 zenon_H1ee zenon_H1c2 zenon_H1da zenon_H12a zenon_H121 zenon_H120 zenon_H11f zenon_H1a zenon_H166 zenon_H162 zenon_Hde zenon_H130 zenon_H14a zenon_H304 zenon_H2fb zenon_H2fd zenon_Hd zenon_H1a9 zenon_H167 zenon_Hc1 zenon_He0 zenon_Hc2 zenon_H91 zenon_H93 zenon_H17b zenon_H17a. % 1.37/1.51 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.37/1.51 apply (zenon_L1321_); trivial. % 1.37/1.51 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.37/1.51 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.37/1.51 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.37/1.51 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.37/1.51 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.37/1.51 apply (zenon_L1323_); trivial. % 1.37/1.51 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H1a. zenon_intro zenon_H1d8. % 1.37/1.51 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1d0. zenon_intro zenon_H1d9. % 1.37/1.51 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1ce. zenon_intro zenon_H1cf. % 1.37/1.51 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H12c | zenon_intro zenon_H148 ]. % 1.37/1.51 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1be ]. % 1.37/1.51 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H1aa ]. % 1.37/1.51 apply (zenon_L1175_); trivial. % 1.37/1.51 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_Hf2 | zenon_intro zenon_He ]. % 1.37/1.51 apply (zenon_L274_); trivial. % 1.37/1.51 exact (zenon_Hd zenon_He). % 1.37/1.51 apply (zenon_L1322_); trivial. % 1.37/1.51 apply (zenon_L1186_); trivial. % 1.37/1.51 apply (zenon_L153_); trivial. % 1.37/1.51 (* end of lemma zenon_L1324_ *) % 1.37/1.51 assert (zenon_L1325_ : ((~(hskp10))\/((ndr1_0)/\((c0_1 (a18))/\((c2_1 (a18))/\(~(c3_1 (a18))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a19))/\((~(c1_1 (a19)))/\(~(c3_1 (a19))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp8)\/(hskp9))) -> (~(hskp9)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> (~(c2_1 (a1))) -> (~(c0_1 (a1))) -> (c3_1 (a1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((hskp25)\/((hskp17)\/(hskp21))) -> (~(hskp1)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> (~(c2_1 (a14))) -> (c0_1 (a14)) -> (c3_1 (a14)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((hskp17)\/((hskp8)\/(hskp4))) -> (~(hskp4)) -> (~(hskp8)) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> False). % 1.37/1.51 do 0 intro. intros zenon_H212 zenon_H213 zenon_H1a3 zenon_H3 zenon_H95 zenon_H17a zenon_H17b zenon_H93 zenon_H167 zenon_H1a9 zenon_H2fd zenon_H2fb zenon_H304 zenon_H14a zenon_H130 zenon_Hde zenon_H162 zenon_H166 zenon_H11f zenon_H120 zenon_H121 zenon_H12a zenon_H1da zenon_H1c2 zenon_H1ee zenon_H1c6 zenon_Hd3 zenon_H1c1 zenon_Hf zenon_Hd zenon_Hb zenon_H233 zenon_H234 zenon_H235 zenon_H43 zenon_H42 zenon_H9c. % 1.37/1.51 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H2d | zenon_intro zenon_H217 ]. % 1.37/1.51 apply (zenon_L245_); trivial. % 1.37/1.51 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H1a. zenon_intro zenon_H218. % 1.37/1.51 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_He0. zenon_intro zenon_H219. % 1.37/1.51 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_Hc2. zenon_intro zenon_Hc1. % 1.37/1.51 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H91 | zenon_intro zenon_He5 ]. % 1.37/1.51 apply (zenon_L1324_); trivial. % 1.37/1.51 apply (zenon_L1194_); trivial. % 1.37/1.51 (* end of lemma zenon_L1325_ *) % 1.37/1.51 assert (zenon_L1326_ : ((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(c3_1 X17))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((hskp2)\/(hskp14))) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (~(c2_1 (a16))) -> (~(hskp2)) -> (~(hskp14)) -> (~(c0_1 (a37))) -> (~(c3_1 (a37))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> (~(hskp4)) -> (~(c1_1 (a19))) -> (~(c3_1 (a19))) -> (c2_1 (a19)) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> (~(c1_1 (a5))) -> (~(c2_1 (a5))) -> (~(c3_1 (a5))) -> False). % 1.37/1.51 do 0 intro. intros zenon_H148 zenon_H2a1 zenon_H113 zenon_Heb zenon_Hea zenon_He9 zenon_Hfe zenon_H100 zenon_H1ce zenon_H1cf zenon_H1f0 zenon_Hd zenon_Hae zenon_Haf zenon_Hb0 zenon_H233 zenon_H234 zenon_H235 zenon_H42 zenon_H288 zenon_H289 zenon_H29c. % 1.37/1.51 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H1a. zenon_intro zenon_H14b. % 1.37/1.51 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H13b. zenon_intro zenon_H14c. % 1.37/1.51 apply (zenon_and_s _ _ zenon_H14c). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 1.37/1.51 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H1e7 | zenon_intro zenon_H2a2 ]. % 1.37/1.51 apply (zenon_L181_); trivial. % 1.37/1.51 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H1ab | zenon_intro zenon_H29b ]. % 1.37/1.51 apply (zenon_L304_); trivial. % 1.37/1.51 apply (zenon_L532_); trivial. % 1.37/1.51 (* end of lemma zenon_L1326_ *) % 1.37/1.51 assert (zenon_L1327_ : ((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(c3_1 X17))))))) -> (~(c3_1 (a5))) -> (~(c2_1 (a5))) -> (~(c1_1 (a5))) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> (~(hskp4)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((hskp2)\/(hskp14))) -> (~(hskp14)) -> (~(hskp2)) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (~(c2_1 (a16))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c3_1 W)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> (c2_1 (a19)) -> (~(c3_1 (a19))) -> (~(c1_1 (a19))) -> (~(c2_1 (a1))) -> (~(c0_1 (a1))) -> (c3_1 (a1)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> False). % 1.37/1.51 do 0 intro. intros zenon_H1d7 zenon_H167 zenon_H2a1 zenon_H29c zenon_H289 zenon_H288 zenon_H233 zenon_H234 zenon_H235 zenon_Hd zenon_H42 zenon_H113 zenon_H100 zenon_Hfe zenon_Heb zenon_Hea zenon_He9 zenon_H1f0 zenon_H277 zenon_H1c2 zenon_Hb0 zenon_Haf zenon_Hae zenon_H2fd zenon_H2fb zenon_H304 zenon_H1ee zenon_Hd3 zenon_H1c1. % 1.37/1.51 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H1a. zenon_intro zenon_H1d8. % 1.37/1.51 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1d0. zenon_intro zenon_H1d9. % 1.37/1.51 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1ce. zenon_intro zenon_H1cf. % 1.37/1.51 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H12c | zenon_intro zenon_H148 ]. % 1.37/1.51 apply (zenon_L1185_); trivial. % 1.37/1.51 apply (zenon_L1326_); trivial. % 1.37/1.51 (* end of lemma zenon_L1327_ *) % 1.37/1.51 assert (zenon_L1328_ : ((ndr1_0)/\((c0_1 (a15))/\((~(c1_1 (a15)))/\(~(c2_1 (a15)))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a18))/\((c2_1 (a18))/\(~(c3_1 (a18))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a19))/\((~(c1_1 (a19)))/\(~(c3_1 (a19))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a24))/\((~(c0_1 (a24)))/\(~(c1_1 (a24))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (~(hskp2)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((hskp2)\/(hskp14))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> (~(hskp4)) -> (~(c2_1 (a1))) -> (~(c0_1 (a1))) -> (c3_1 (a1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((hskp25)\/((hskp17)\/(hskp21))) -> (~(hskp1)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> (~(c2_1 (a14))) -> (c0_1 (a14)) -> (c3_1 (a14)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> False). % 1.37/1.51 do 0 intro. intros zenon_H20e zenon_H212 zenon_H213 zenon_H112 zenon_H95 zenon_Hfe zenon_H113 zenon_H93 zenon_H1da zenon_H1c2 zenon_H1ee zenon_H1c6 zenon_Hd3 zenon_H235 zenon_H234 zenon_H233 zenon_H1c1 zenon_H17a zenon_H17b zenon_H177 zenon_H43 zenon_H167 zenon_H1a9 zenon_Hd zenon_H2fd zenon_H2fb zenon_H304 zenon_H14a zenon_H130 zenon_Hde zenon_H162 zenon_H166 zenon_H11f zenon_H120 zenon_H121 zenon_H12a zenon_H42 zenon_H9c. % 1.37/1.51 apply (zenon_and_s _ _ zenon_H20e). zenon_intro zenon_H1a. zenon_intro zenon_H20f. % 1.37/1.51 apply (zenon_and_s _ _ zenon_H20f). zenon_intro zenon_H117. zenon_intro zenon_H210. % 1.37/1.51 apply (zenon_and_s _ _ zenon_H210). zenon_intro zenon_H115. zenon_intro zenon_H116. % 1.37/1.51 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H2d | zenon_intro zenon_H217 ]. % 1.37/1.51 apply (zenon_L1218_); trivial. % 1.37/1.51 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H1a. zenon_intro zenon_H218. % 1.37/1.51 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_He0. zenon_intro zenon_H219. % 1.37/1.51 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_Hc2. zenon_intro zenon_Hc1. % 1.37/1.51 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H91 | zenon_intro zenon_He5 ]. % 1.37/1.51 apply (zenon_L1324_); trivial. % 1.37/1.51 apply (zenon_L1231_); trivial. % 1.37/1.51 (* end of lemma zenon_L1328_ *) % 1.37/1.51 assert (zenon_L1329_ : ((ndr1_0)/\((c2_1 (a24))/\((~(c0_1 (a24)))/\(~(c1_1 (a24)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(~(c3_1 (a25))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp24))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (~(c2_1 (a6))) -> ((hskp25)\/((hskp17)\/(hskp21))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (~(c2_1 (a1))) -> (c3_1 (a1)) -> (~(c0_1 (a1))) -> (~(hskp10)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> (~(c1_1 (a5))) -> (~(c2_1 (a5))) -> (~(c3_1 (a5))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(c3_1 X17))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (~(c2_1 (a16))) -> (~(hskp13)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/(hskp13))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> False). % 1.37/1.52 do 0 intro. intros zenon_H10d zenon_H1a2 zenon_Hd3 zenon_H1f8 zenon_H1e0 zenon_H48 zenon_H93 zenon_H91 zenon_H1f0 zenon_H12a zenon_H17a zenon_H17b zenon_H177 zenon_H167 zenon_H14a zenon_H256 zenon_H255 zenon_H254 zenon_H130 zenon_H149 zenon_H2fd zenon_H304 zenon_H2fb zenon_H2d zenon_H43 zenon_H166 zenon_H1da zenon_H162 zenon_Hde zenon_H1c2 zenon_H1ee zenon_H288 zenon_H289 zenon_H29c zenon_H2a1 zenon_H95 zenon_H1c6 zenon_Hfc zenon_Heb zenon_Hea zenon_He9 zenon_H5 zenon_H247 zenon_H1c1 zenon_H9c. % 1.37/1.52 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_H1a. zenon_intro zenon_H10f. % 1.37/1.52 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H104. zenon_intro zenon_H110. % 1.37/1.52 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_H102. zenon_intro zenon_H103. % 1.37/1.52 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H146 | zenon_intro zenon_H19f ]. % 1.37/1.52 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.37/1.52 apply (zenon_L1255_); trivial. % 1.37/1.52 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.37/1.52 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.37/1.52 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.37/1.52 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.37/1.52 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.37/1.52 apply (zenon_L1256_); trivial. % 1.37/1.52 apply (zenon_L641_); trivial. % 1.37/1.52 apply (zenon_L1254_); trivial. % 1.37/1.52 apply (zenon_L682_); trivial. % 1.37/1.52 (* end of lemma zenon_L1329_ *) % 1.37/1.52 assert (zenon_L1330_ : ((ndr1_0)/\((c0_1 (a18))/\((c2_1 (a18))/\(~(c3_1 (a18)))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a19))/\((~(c1_1 (a19)))/\(~(c3_1 (a19))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a24))/\((~(c0_1 (a24)))/\(~(c1_1 (a24))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (c3_1 (a1)) -> (~(c0_1 (a1))) -> (~(c2_1 (a1))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c3_1 W)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((hskp2)\/(hskp14))) -> (~(hskp2)) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (~(c2_1 (a16))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(c3_1 X17))))))) -> (~(c3_1 (a5))) -> (~(c2_1 (a5))) -> (~(c1_1 (a5))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (~(c2_1 (a6))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> False). % 1.37/1.52 do 0 intro. intros zenon_H217 zenon_H213 zenon_H112 zenon_H177 zenon_H95 zenon_H304 zenon_H2fb zenon_H2fd zenon_H277 zenon_H113 zenon_Hfe zenon_Heb zenon_Hea zenon_He9 zenon_H1f0 zenon_H1da zenon_H167 zenon_H2a1 zenon_H29c zenon_H289 zenon_H288 zenon_H1ee zenon_H1c2 zenon_H1c6 zenon_H14a zenon_H256 zenon_H255 zenon_H254 zenon_Hd3 zenon_H1c1 zenon_H93 zenon_H17b. % 1.37/1.52 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H1a. zenon_intro zenon_H218. % 1.37/1.52 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_He0. zenon_intro zenon_H219. % 1.37/1.52 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_Hc2. zenon_intro zenon_Hc1. % 1.37/1.52 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H91 | zenon_intro zenon_He5 ]. % 1.37/1.52 apply (zenon_L631_); trivial. % 1.37/1.52 apply (zenon_and_s _ _ zenon_He5). zenon_intro zenon_H1a. zenon_intro zenon_He6. % 1.37/1.52 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_Hb0. zenon_intro zenon_He7. % 1.37/1.52 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hae. zenon_intro zenon_Haf. % 1.37/1.52 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_H100 | zenon_intro zenon_H10d ]. % 1.37/1.52 apply (zenon_L1301_); trivial. % 1.37/1.52 apply (zenon_L648_); trivial. % 1.37/1.52 (* end of lemma zenon_L1330_ *) % 1.37/1.52 assert (zenon_L1331_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp19)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(c3_1 X17))))))) -> (~(c3_1 (a5))) -> (~(c2_1 (a5))) -> (~(c1_1 (a5))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp10)) -> (~(c1_1 (a31))) -> (c2_1 (a31)) -> (c0_1 (a31)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> (ndr1_0) -> (~(c0_1 (a1))) -> (c3_1 (a1)) -> (~(c2_1 (a1))) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> (~(hskp15)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (~(c1_1 (a19))) -> (~(c3_1 (a19))) -> (c2_1 (a19)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> False). % 1.37/1.52 do 0 intro. intros zenon_H1da zenon_H167 zenon_H14a zenon_H144 zenon_H2a1 zenon_H29c zenon_H289 zenon_H288 zenon_H1ee zenon_H1c2 zenon_H43 zenon_H2d zenon_H32 zenon_H33 zenon_H3c zenon_H1c6 zenon_H1a zenon_H2fb zenon_H304 zenon_H2fd zenon_H254 zenon_H255 zenon_H256 zenon_H146 zenon_H149 zenon_Hae zenon_Haf zenon_Hb0 zenon_Hd3 zenon_H1c1. % 1.37/1.52 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.37/1.52 apply (zenon_L1268_); trivial. % 1.37/1.52 apply (zenon_L658_); trivial. % 1.37/1.52 (* end of lemma zenon_L1331_ *) % 1.37/1.52 assert (zenon_L1332_ : ((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp8)\/(hskp9))) -> (~(hskp9)) -> (~(hskp8)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (~(hskp15)) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (~(c2_1 (a6))) -> (~(c2_1 (a1))) -> (c3_1 (a1)) -> (~(c0_1 (a1))) -> (~(hskp10)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(c3_1 (a19))) -> (~(c1_1 (a19))) -> (c2_1 (a19)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> False). % 1.37/1.52 do 0 intro. intros zenon_H176 zenon_H1da zenon_H1a3 zenon_H3 zenon_Hb zenon_H95 zenon_H177 zenon_H149 zenon_H146 zenon_H256 zenon_H255 zenon_H254 zenon_H2fd zenon_H304 zenon_H2fb zenon_H2d zenon_H43 zenon_Haf zenon_Hae zenon_Hb0 zenon_H1c6 zenon_Hd3 zenon_H1c1. % 1.37/1.52 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1a. zenon_intro zenon_H178. % 1.37/1.52 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H16a. zenon_intro zenon_H179. % 1.37/1.52 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H171. zenon_intro zenon_H168. % 1.37/1.52 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.37/1.52 apply (zenon_L1271_); trivial. % 1.37/1.52 apply (zenon_L146_); trivial. % 1.37/1.52 (* end of lemma zenon_L1332_ *) % 1.37/1.52 assert (zenon_L1333_ : ((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(~(c3_1 (a25)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp8)\/(hskp9))) -> (~(hskp9)) -> (~(hskp8)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp24))) -> (~(c3_1 (a19))) -> (~(c1_1 (a19))) -> (c2_1 (a19)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (~(c2_1 (a6))) -> (~(c1_1 (a5))) -> (~(c2_1 (a5))) -> (~(c3_1 (a5))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(c3_1 X17))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> False). % 1.37/1.52 do 0 intro. intros zenon_H19f zenon_H17b zenon_H1a3 zenon_H3 zenon_Hb zenon_H95 zenon_H48 zenon_H177 zenon_H1f8 zenon_Haf zenon_Hae zenon_Hb0 zenon_H1c6 zenon_Hd3 zenon_H1c1 zenon_H1c2 zenon_H1ee zenon_H256 zenon_H255 zenon_H254 zenon_H288 zenon_H289 zenon_H29c zenon_H2a1 zenon_H14a zenon_H167 zenon_H1da. % 1.37/1.52 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H1a. zenon_intro zenon_H1a0. % 1.37/1.52 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H18f. zenon_intro zenon_H1a1. % 1.37/1.52 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H19a. zenon_intro zenon_H18e. % 1.37/1.52 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.37/1.52 apply (zenon_L662_); trivial. % 1.37/1.52 apply (zenon_L1188_); trivial. % 1.37/1.52 (* end of lemma zenon_L1333_ *) % 1.37/1.52 assert (zenon_L1334_ : ((ndr1_0)/\((c2_1 (a19))/\((~(c1_1 (a19)))/\(~(c3_1 (a19)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(~(c3_1 (a25))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp24))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (~(c2_1 (a6))) -> ((hskp25)\/((hskp17)\/(hskp21))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (~(c2_1 (a1))) -> (c3_1 (a1)) -> (~(c0_1 (a1))) -> (~(hskp10)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> (~(c2_1 (a14))) -> (c0_1 (a14)) -> (c3_1 (a14)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(c3_1 X17))))))) -> (~(c3_1 (a5))) -> (~(c2_1 (a5))) -> (~(c1_1 (a5))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (~(hskp8)) -> (~(hskp9)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp8)\/(hskp9))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> False). % 1.37/1.52 do 0 intro. intros zenon_He5 zenon_H1a2 zenon_H48 zenon_H1f8 zenon_H17a zenon_H17b zenon_H177 zenon_H167 zenon_H14a zenon_H256 zenon_H255 zenon_H254 zenon_H130 zenon_H149 zenon_H2fd zenon_H304 zenon_H2fb zenon_H2d zenon_H43 zenon_H166 zenon_H11f zenon_H120 zenon_H121 zenon_H12a zenon_H1da zenon_H2a1 zenon_H29c zenon_H289 zenon_H288 zenon_H1ee zenon_H1c2 zenon_H1c6 zenon_Hd3 zenon_H1c1 zenon_H95 zenon_Hb zenon_H3 zenon_H1a3 zenon_H9c. % 1.37/1.52 apply (zenon_and_s _ _ zenon_He5). zenon_intro zenon_H1a. zenon_intro zenon_He6. % 1.37/1.52 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_Hb0. zenon_intro zenon_He7. % 1.37/1.52 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hae. zenon_intro zenon_Haf. % 1.37/1.52 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H146 | zenon_intro zenon_H19f ]. % 1.37/1.52 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.37/1.52 apply (zenon_L1289_); trivial. % 1.37/1.52 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.37/1.52 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.37/1.52 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.37/1.52 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.37/1.52 apply (zenon_L1331_); trivial. % 1.37/1.52 apply (zenon_L1332_); trivial. % 1.37/1.52 apply (zenon_L1333_); trivial. % 1.37/1.52 (* end of lemma zenon_L1334_ *) % 1.37/1.52 assert (zenon_L1335_ : ((ndr1_0)/\((c2_1 (a24))/\((~(c0_1 (a24)))/\(~(c1_1 (a24)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(~(c3_1 (a25))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp24))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (~(c2_1 (a6))) -> ((hskp25)\/((hskp17)\/(hskp21))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (~(c2_1 (a1))) -> (c3_1 (a1)) -> (~(c0_1 (a1))) -> (~(hskp10)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> (~(c2_1 (a14))) -> (c0_1 (a14)) -> (c3_1 (a14)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> (~(c1_1 (a5))) -> (~(c2_1 (a5))) -> (~(c3_1 (a5))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(c3_1 X17))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (~(c2_1 (a16))) -> (~(hskp13)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/(hskp13))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp11)) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> False). % 1.37/1.52 do 0 intro. intros zenon_H10d zenon_H1a2 zenon_Hd3 zenon_H1f8 zenon_H1e0 zenon_H48 zenon_H17a zenon_H17b zenon_H177 zenon_H167 zenon_H14a zenon_H256 zenon_H255 zenon_H254 zenon_H130 zenon_H149 zenon_H2fd zenon_H304 zenon_H2fb zenon_H2d zenon_H43 zenon_H166 zenon_H11f zenon_H120 zenon_H121 zenon_H12a zenon_H1da zenon_H162 zenon_Hde zenon_H1c2 zenon_H1ee zenon_H288 zenon_H289 zenon_H29c zenon_H2a1 zenon_H95 zenon_H1c6 zenon_Hfc zenon_Heb zenon_Hea zenon_He9 zenon_H5 zenon_H247 zenon_H1c1 zenon_H93 zenon_H91 zenon_H9c. % 1.37/1.52 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_H1a. zenon_intro zenon_H10f. % 1.37/1.52 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H104. zenon_intro zenon_H110. % 1.37/1.52 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_H102. zenon_intro zenon_H103. % 1.37/1.52 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H146 | zenon_intro zenon_H19f ]. % 1.37/1.52 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.37/1.52 apply (zenon_L1289_); trivial. % 1.37/1.52 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.37/1.52 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.37/1.52 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.37/1.52 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.37/1.52 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.37/1.52 apply (zenon_L1256_); trivial. % 1.37/1.52 apply (zenon_L666_); trivial. % 1.37/1.52 apply (zenon_L1294_); trivial. % 1.37/1.52 apply (zenon_L670_); trivial. % 1.37/1.52 (* end of lemma zenon_L1335_ *) % 1.37/1.52 assert (zenon_L1336_ : ((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> (~(c2_1 (a16))) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> (~(hskp2)) -> (~(hskp14)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((hskp2)\/(hskp14))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c3_1 W)))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (c2_1 (a19)) -> (~(c3_1 (a19))) -> (~(c1_1 (a19))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (~(hskp15)) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (~(c2_1 (a6))) -> (~(c2_1 (a1))) -> (c3_1 (a1)) -> (~(c0_1 (a1))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> (~(hskp10)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> (~(c1_1 (a5))) -> (~(c2_1 (a5))) -> (~(c3_1 (a5))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(c3_1 X17))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> False). % 1.37/1.52 do 0 intro. intros zenon_H9e zenon_H17b zenon_H1f0 zenon_He9 zenon_Hea zenon_Heb zenon_Hfe zenon_H100 zenon_H113 zenon_H277 zenon_H177 zenon_H1c1 zenon_Hd3 zenon_Hb0 zenon_Haf zenon_Hae zenon_H149 zenon_H146 zenon_H256 zenon_H255 zenon_H254 zenon_H2fd zenon_H304 zenon_H2fb zenon_H1c6 zenon_H2d zenon_H43 zenon_H1c2 zenon_H1ee zenon_H288 zenon_H289 zenon_H29c zenon_H2a1 zenon_H14a zenon_H167 zenon_H1da. % 1.37/1.52 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.37/1.52 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.37/1.52 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.37/1.52 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.37/1.52 apply (zenon_L1331_); trivial. % 1.37/1.52 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1a. zenon_intro zenon_H178. % 1.37/1.52 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H16a. zenon_intro zenon_H179. % 1.37/1.52 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H171. zenon_intro zenon_H168. % 1.37/1.52 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.37/1.52 apply (zenon_L1271_); trivial. % 1.37/1.52 apply (zenon_L1298_); trivial. % 1.37/1.52 (* end of lemma zenon_L1336_ *) % 1.37/1.52 assert (zenon_L1337_ : ((ndr1_0)/\((c2_1 (a24))/\((~(c0_1 (a24)))/\(~(c1_1 (a24)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(~(c3_1 (a25))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp24))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (~(c2_1 (a6))) -> ((hskp25)\/((hskp17)\/(hskp21))) -> (~(hskp1)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> (~(c2_1 (a14))) -> (c0_1 (a14)) -> (c3_1 (a14)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(c3_1 X17))))))) -> (~(c3_1 (a5))) -> (~(c2_1 (a5))) -> (~(c1_1 (a5))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> (~(c0_1 (a1))) -> (c3_1 (a1)) -> (~(c2_1 (a1))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (~(c1_1 (a19))) -> (~(c3_1 (a19))) -> (c2_1 (a19)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> False). % 1.37/1.52 do 0 intro. intros zenon_H10d zenon_H1a2 zenon_H48 zenon_H1f8 zenon_H17a zenon_H17b zenon_H177 zenon_H167 zenon_H14a zenon_H256 zenon_H255 zenon_H254 zenon_H130 zenon_Hde zenon_H162 zenon_H166 zenon_H11f zenon_H120 zenon_H121 zenon_H12a zenon_H1da zenon_H2a1 zenon_H29c zenon_H289 zenon_H288 zenon_H1ee zenon_H1c2 zenon_H43 zenon_H2d zenon_H1c6 zenon_H2fb zenon_H304 zenon_H2fd zenon_H149 zenon_Hae zenon_Haf zenon_Hb0 zenon_Hd3 zenon_H1c1 zenon_H95 zenon_H9c. % 1.37/1.52 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_H1a. zenon_intro zenon_H10f. % 1.37/1.52 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H104. zenon_intro zenon_H110. % 1.37/1.52 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_H102. zenon_intro zenon_H103. % 1.37/1.52 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H146 | zenon_intro zenon_H19f ]. % 1.37/1.52 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.37/1.52 apply (zenon_L411_); trivial. % 1.37/1.52 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.37/1.52 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.37/1.52 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.37/1.52 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.37/1.52 apply (zenon_L1331_); trivial. % 1.37/1.52 apply (zenon_L1272_); trivial. % 1.37/1.52 apply (zenon_L664_); trivial. % 1.37/1.52 (* end of lemma zenon_L1337_ *) % 1.37/1.52 assert (zenon_L1338_ : ((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (~(c2_1 (a6))) -> (c0_1 (a31)) -> (c2_1 (a31)) -> (~(c1_1 (a31))) -> (~(c1_1 (a5))) -> (~(c2_1 (a5))) -> (~(c3_1 (a5))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(c3_1 X17))))))) -> (~(c0_1 (a24))) -> (~(c1_1 (a24))) -> (c2_1 (a24)) -> (~(c0_1 (a37))) -> (~(c3_1 (a37))) -> (c1_1 (a37)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (~(hskp15)) -> (~(c2_1 (a1))) -> (c3_1 (a1)) -> (~(c0_1 (a1))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp19)) -> (c3_1 (a14)) -> (c0_1 (a14)) -> (~(c2_1 (a14))) -> (~(hskp13)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/(hskp13))) -> (~(hskp10)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> False). % 1.37/1.52 do 0 intro. intros zenon_H41 zenon_H167 zenon_H162 zenon_Hde zenon_H1c2 zenon_H1ee zenon_H256 zenon_H255 zenon_H254 zenon_H3c zenon_H33 zenon_H32 zenon_H288 zenon_H289 zenon_H29c zenon_H2a1 zenon_H102 zenon_H103 zenon_H104 zenon_H1ce zenon_H1cf zenon_H1d0 zenon_H95 zenon_H149 zenon_H146 zenon_H2fd zenon_H304 zenon_H2fb zenon_H93 zenon_H91 zenon_H14a zenon_H144 zenon_H121 zenon_H120 zenon_H11f zenon_H5 zenon_H247 zenon_H2d zenon_H43 zenon_H1c1. % 1.37/1.52 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H1a. zenon_intro zenon_H44. % 1.37/1.52 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H1d. zenon_intro zenon_H45. % 1.37/1.52 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H1e. zenon_intro zenon_H1f. % 1.37/1.52 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H12c | zenon_intro zenon_H148 ]. % 1.37/1.52 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1be ]. % 1.37/1.52 apply (zenon_L639_); trivial. % 1.37/1.52 apply (zenon_L1280_); trivial. % 1.37/1.52 apply (zenon_L319_); trivial. % 1.37/1.52 (* end of lemma zenon_L1338_ *) % 1.37/1.52 assert (zenon_L1339_ : ((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> (c0_1 (a31)) -> (c2_1 (a31)) -> (~(c1_1 (a31))) -> (~(c1_1 (a5))) -> (~(c2_1 (a5))) -> (~(c3_1 (a5))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(c3_1 X17))))))) -> (~(c0_1 (a24))) -> (~(c1_1 (a24))) -> (c2_1 (a24)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (~(hskp15)) -> (~(c2_1 (a1))) -> (c3_1 (a1)) -> (~(c0_1 (a1))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp19)) -> (c3_1 (a14)) -> (c0_1 (a14)) -> (~(c2_1 (a14))) -> (~(hskp13)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/(hskp13))) -> (~(hskp10)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> (~(hskp9)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((hskp9)\/(hskp24))) -> False). % 1.37/1.52 do 0 intro. intros zenon_H1d7 zenon_H48 zenon_H167 zenon_H162 zenon_Hde zenon_H1c2 zenon_H1ee zenon_H3c zenon_H33 zenon_H32 zenon_H288 zenon_H289 zenon_H29c zenon_H2a1 zenon_H102 zenon_H103 zenon_H104 zenon_H95 zenon_H149 zenon_H146 zenon_H2fd zenon_H304 zenon_H2fb zenon_H93 zenon_H91 zenon_H14a zenon_H144 zenon_H121 zenon_H120 zenon_H11f zenon_H5 zenon_H247 zenon_H2d zenon_H43 zenon_H1c1 zenon_H254 zenon_H255 zenon_H256 zenon_H3 zenon_H7b. % 1.37/1.52 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H1a. zenon_intro zenon_H1d8. % 1.37/1.52 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1d0. zenon_intro zenon_H1d9. % 1.37/1.52 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1ce. zenon_intro zenon_H1cf. % 1.37/1.52 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H11 | zenon_intro zenon_H41 ]. % 1.37/1.52 apply (zenon_L329_); trivial. % 1.37/1.52 apply (zenon_L1338_); trivial. % 1.37/1.52 (* end of lemma zenon_L1339_ *) % 1.37/1.52 assert (zenon_L1340_ : ((ndr1_0)/\((c2_1 (a19))/\((~(c1_1 (a19)))/\(~(c3_1 (a19)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a24))/\((~(c0_1 (a24)))/\(~(c1_1 (a24))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(~(c3_1 (a25))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp24))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (~(c2_1 (a6))) -> ((hskp25)\/((hskp17)\/(hskp21))) -> (~(hskp1)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> (~(c2_1 (a14))) -> (c0_1 (a14)) -> (c3_1 (a14)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c2_1 X17)\/(c3_1 X17))))))) -> (~(c3_1 (a5))) -> (~(c2_1 (a5))) -> (~(c1_1 (a5))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> (~(c0_1 (a1))) -> (c3_1 (a1)) -> (~(c2_1 (a1))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (c0_1 (a15)) -> (~(hskp2)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((hskp2)\/(hskp14))) -> False). % 1.37/1.52 do 0 intro. intros zenon_He5 zenon_H112 zenon_H1a2 zenon_H48 zenon_H1f8 zenon_H17a zenon_H17b zenon_H177 zenon_H167 zenon_H14a zenon_H256 zenon_H255 zenon_H254 zenon_H130 zenon_Hde zenon_H162 zenon_H166 zenon_H11f zenon_H120 zenon_H121 zenon_H12a zenon_H1da zenon_H2a1 zenon_H29c zenon_H289 zenon_H288 zenon_H1ee zenon_H1c2 zenon_H43 zenon_H2d zenon_H1c6 zenon_H2fb zenon_H304 zenon_H2fd zenon_H149 zenon_Hd3 zenon_H1c1 zenon_H95 zenon_H9c zenon_H115 zenon_H116 zenon_H117 zenon_Hfe zenon_H113. % 1.37/1.52 apply (zenon_and_s _ _ zenon_He5). zenon_intro zenon_H1a. zenon_intro zenon_He6. % 1.37/1.52 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_Hb0. zenon_intro zenon_He7. % 1.37/1.52 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hae. zenon_intro zenon_Haf. % 1.37/1.52 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_H100 | zenon_intro zenon_H10d ]. % 1.37/1.52 apply (zenon_L74_); trivial. % 1.37/1.52 apply (zenon_L1337_); trivial. % 1.37/1.52 (* end of lemma zenon_L1340_ *) % 1.37/1.52 assert (zenon_L1341_ : (forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24)))))) -> (ndr1_0) -> (c1_1 (a3)) -> (c2_1 (a3)) -> (c3_1 (a3)) -> False). % 1.37/1.52 do 0 intro. intros zenon_H6e zenon_H1a zenon_H1d zenon_H1e zenon_H1f. % 1.37/1.52 generalize (zenon_H6e (a3)). zenon_intro zenon_H313. % 1.37/1.52 apply (zenon_imply_s _ _ zenon_H313); [ zenon_intro zenon_H19 | zenon_intro zenon_H314 ]. % 1.37/1.52 exact (zenon_H19 zenon_H1a). % 1.37/1.52 apply (zenon_or_s _ _ zenon_H314); [ zenon_intro zenon_H29 | zenon_intro zenon_Hd9 ]. % 1.37/1.52 exact (zenon_H29 zenon_H1d). % 1.37/1.52 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H28 | zenon_intro zenon_H2a ]. % 1.37/1.52 exact (zenon_H28 zenon_H1e). % 1.37/1.52 exact (zenon_H2a zenon_H1f). % 1.37/1.52 (* end of lemma zenon_L1341_ *) % 1.37/1.52 assert (zenon_L1342_ : ((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c3_1 W))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(hskp6))) -> (c3_1 (a1)) -> (~(c2_1 (a1))) -> (~(c0_1 (a1))) -> (~(hskp6)) -> False). % 1.37/1.52 do 0 intro. intros zenon_H41 zenon_H7d zenon_H304 zenon_H2fd zenon_H2fb zenon_H2b. % 1.37/1.52 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H1a. zenon_intro zenon_H44. % 1.37/1.52 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H1d. zenon_intro zenon_H45. % 1.37/1.52 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H1e. zenon_intro zenon_H1f. % 1.37/1.52 apply (zenon_or_s _ _ zenon_H7d); [ zenon_intro zenon_H69 | zenon_intro zenon_H7e ]. % 1.37/1.52 apply (zenon_L1151_); trivial. % 1.37/1.52 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H6e | zenon_intro zenon_H2c ]. % 1.37/1.52 apply (zenon_L1341_); trivial. % 1.37/1.52 exact (zenon_H2b zenon_H2c). % 1.37/1.52 (* end of lemma zenon_L1342_ *) % 1.37/1.52 assert (zenon_L1343_ : ((ndr1_0)/\((~(c0_1 (a22)))/\((~(c2_1 (a22)))/\(~(c3_1 (a22)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c3_1 W))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((hskp9)\/(hskp24))) -> (~(hskp9)) -> (c3_1 (a1)) -> (~(c0_1 (a1))) -> (~(c2_1 (a1))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c3_1 W)))))))) -> False). % 1.37/1.52 do 0 intro. intros zenon_H284 zenon_H48 zenon_H7d zenon_H2b zenon_H7b zenon_H3 zenon_H304 zenon_H2fb zenon_H2fd zenon_H277. % 1.37/1.52 apply (zenon_and_s _ _ zenon_H284). zenon_intro zenon_H1a. zenon_intro zenon_H285. % 1.37/1.52 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_H80. zenon_intro zenon_H286. % 1.37/1.52 apply (zenon_and_s _ _ zenon_H286). zenon_intro zenon_H89. zenon_intro zenon_H81. % 1.37/1.52 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H11 | zenon_intro zenon_H41 ]. % 1.37/1.52 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H4b | zenon_intro zenon_H278 ]. % 1.37/1.52 apply (zenon_or_s _ _ zenon_H7b); [ zenon_intro zenon_H6d | zenon_intro zenon_H7c ]. % 1.37/1.52 apply (zenon_L1150_); trivial. % 1.37/1.52 apply (zenon_or_s _ _ zenon_H7c); [ zenon_intro zenon_H4 | zenon_intro zenon_H12 ]. % 1.37/1.52 exact (zenon_H3 zenon_H4). % 1.37/1.52 exact (zenon_H11 zenon_H12). % 1.37/1.52 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H1e7 | zenon_intro zenon_H69 ]. % 1.37/1.52 apply (zenon_L221_); trivial. % 1.37/1.52 apply (zenon_L1151_); trivial. % 1.37/1.52 apply (zenon_L1342_); trivial. % 1.37/1.52 (* end of lemma zenon_L1343_ *) % 1.37/1.52 assert (zenon_L1344_ : ((~(hskp13))\/((ndr1_0)/\((~(c0_1 (a22)))/\((~(c2_1 (a22)))/\(~(c3_1 (a22))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c3_1 W))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((hskp9)\/(hskp24))) -> (c3_1 (a1)) -> (~(c0_1 (a1))) -> (~(c2_1 (a1))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c3_1 W)))))))) -> (~(hskp7)) -> (~(hskp9)) -> ((hskp7)\/((hskp9)\/(hskp13))) -> False). % 1.37/1.52 do 0 intro. intros zenon_H287 zenon_H48 zenon_H7d zenon_H2b zenon_H7b zenon_H304 zenon_H2fb zenon_H2fd zenon_H277 zenon_H1 zenon_H3 zenon_H7. % 1.37/1.52 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H5 | zenon_intro zenon_H284 ]. % 1.37/1.52 apply (zenon_L4_); trivial. % 1.37/1.52 apply (zenon_L1343_); trivial. % 1.37/1.52 (* end of lemma zenon_L1344_ *) % 1.37/1.52 assert (zenon_L1345_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> (~(hskp26)) -> (~(hskp25)) -> (~(c0_1 (a37))) -> (~(c3_1 (a37))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> (c2_1 (a31)) -> (c0_1 (a31)) -> (~(c1_1 (a31))) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> (~(c2_1 (a16))) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (ndr1_0) -> (~(c2_1 (a1))) -> (forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13)))))) -> (~(c0_1 (a1))) -> (c3_1 (a1)) -> False). % 1.37/1.52 do 0 intro. intros zenon_H1ee zenon_H1b3 zenon_H12c zenon_H1ce zenon_H1cf zenon_H1c2 zenon_H33 zenon_H3c zenon_H32 zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_He9 zenon_Hea zenon_Heb zenon_Hfc zenon_H1a zenon_H2fd zenon_H1a5 zenon_H2fb zenon_H304. % 1.37/1.52 apply (zenon_or_s _ _ zenon_H1ee); [ zenon_intro zenon_H1e7 | zenon_intro zenon_H1ef ]. % 1.37/1.52 apply (zenon_L167_); trivial. % 1.37/1.52 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H3b | zenon_intro zenon_H6d ]. % 1.37/1.52 apply (zenon_L700_); trivial. % 1.37/1.52 apply (zenon_L1164_); trivial. % 1.37/1.52 (* end of lemma zenon_L1345_ *) % 1.37/1.52 assert (zenon_L1346_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> (c3_1 (a1)) -> (~(c0_1 (a1))) -> (~(c2_1 (a1))) -> (~(c2_1 (a16))) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> (~(c1_1 (a31))) -> (c0_1 (a31)) -> (c2_1 (a31)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (ndr1_0) -> (~(c0_1 (a37))) -> (~(c3_1 (a37))) -> (~(hskp25)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(hskp7)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(hskp7)) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> False). % 1.37/1.52 do 0 intro. intros zenon_H1c1 zenon_H1ee zenon_H304 zenon_H2fb zenon_H2fd zenon_He9 zenon_Hea zenon_Heb zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_H32 zenon_H3c zenon_H33 zenon_Hfc zenon_H1a zenon_H1ce zenon_H1cf zenon_H12c zenon_H1c2 zenon_Hd3 zenon_H1 zenon_Hb7 zenon_Hd zenon_H1a9. % 1.37/1.52 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1be ]. % 1.37/1.52 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H1aa ]. % 1.37/1.52 apply (zenon_L1345_); trivial. % 1.37/1.52 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_Hf2 | zenon_intro zenon_He ]. % 1.37/1.52 apply (zenon_L66_); trivial. % 1.37/1.52 exact (zenon_Hd zenon_He). % 1.37/1.52 apply (zenon_L696_); trivial. % 1.37/1.52 (* end of lemma zenon_L1346_ *) % 1.37/1.52 assert (zenon_L1347_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> (~(hskp19)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(hskp7)) -> (~(hskp7)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> (~(c1_1 (a31))) -> (~(c2_1 (a1))) -> (~(c0_1 (a1))) -> (c3_1 (a1)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c0_1 (a31)) -> (c2_1 (a31)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (~(c2_1 (a16))) -> (ndr1_0) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> False). % 1.37/1.52 do 0 intro. intros zenon_H1da zenon_H167 zenon_H144 zenon_H14a zenon_H1a9 zenon_Hd zenon_Hb7 zenon_H1 zenon_Hd3 zenon_H1c2 zenon_H32 zenon_H2fd zenon_H2fb zenon_H304 zenon_H1ee zenon_Hfc zenon_H3c zenon_H33 zenon_H1c6 zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_Heb zenon_Hea zenon_He9 zenon_H1a zenon_H1c1. % 1.37/1.52 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.37/1.52 apply (zenon_L697_); trivial. % 1.37/1.52 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H1a. zenon_intro zenon_H1d8. % 1.37/1.52 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1d0. zenon_intro zenon_H1d9. % 1.37/1.52 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1ce. zenon_intro zenon_H1cf. % 1.37/1.52 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H12c | zenon_intro zenon_H148 ]. % 1.37/1.52 apply (zenon_L1346_); trivial. % 1.37/1.52 apply (zenon_L1166_); trivial. % 1.37/1.52 (* end of lemma zenon_L1347_ *) % 1.37/1.52 assert (zenon_L1348_ : ((~(hskp9))\/((ndr1_0)/\((c0_1 (a16))/\((~(c2_1 (a16)))/\(~(c3_1 (a16))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a19))/\((~(c1_1 (a19)))/\(~(c3_1 (a19))))))) -> ((hskp17)\/((hskp8)\/(hskp4))) -> (~(hskp4)) -> (~(hskp8)) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(hskp7)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> ((hskp7)\/((hskp9)\/(hskp13))) -> (~(hskp7)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c3_1 W)))))))) -> (~(c2_1 (a1))) -> (~(c0_1 (a1))) -> (c3_1 (a1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((hskp9)\/(hskp24))) -> (~(hskp6)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c3_1 W))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(hskp6))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c0_1 (a22)))/\((~(c2_1 (a22)))/\(~(c3_1 (a22))))))) -> False). % 1.37/1.52 do 0 intro. intros zenon_H215 zenon_H213 zenon_Hf zenon_Hd zenon_Hb zenon_H1da zenon_H167 zenon_H14a zenon_H1a9 zenon_Hb7 zenon_Hd3 zenon_H1c2 zenon_H1ee zenon_Hfc zenon_H1c6 zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_H1c1 zenon_H93 zenon_H17b zenon_H9c zenon_H7 zenon_H1 zenon_H277 zenon_H2fd zenon_H2fb zenon_H304 zenon_H7b zenon_H2b zenon_H7d zenon_H48 zenon_H287. % 1.37/1.52 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H3 | zenon_intro zenon_H216 ]. % 1.37/1.52 apply (zenon_L1344_); trivial. % 1.37/1.52 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_H1a. zenon_intro zenon_H21a. % 1.37/1.52 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_Heb. zenon_intro zenon_H21b. % 1.37/1.52 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_He9. zenon_intro zenon_Hea. % 1.37/1.52 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H91 | zenon_intro zenon_He5 ]. % 1.37/1.52 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.37/1.52 apply (zenon_L8_); trivial. % 1.37/1.52 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.37/1.52 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.37/1.52 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.37/1.52 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.37/1.52 apply (zenon_L1347_); trivial. % 1.37/1.52 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1a. zenon_intro zenon_H178. % 1.37/1.52 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H16a. zenon_intro zenon_H179. % 1.37/1.52 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H171. zenon_intro zenon_H168. % 1.37/1.52 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.37/1.52 apply (zenon_L697_); trivial. % 1.37/1.52 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H1a. zenon_intro zenon_H1d8. % 1.37/1.52 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1d0. zenon_intro zenon_H1d9. % 1.37/1.52 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1ce. zenon_intro zenon_H1cf. % 1.37/1.52 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H12c | zenon_intro zenon_H148 ]. % 1.37/1.52 apply (zenon_L1346_); trivial. % 1.37/1.52 apply (zenon_L940_); trivial. % 1.37/1.52 apply (zenon_L62_); trivial. % 1.37/1.52 (* end of lemma zenon_L1348_ *) % 1.37/1.52 assert (zenon_L1349_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp6)\/(hskp10))) -> (~(hskp10)) -> (~(hskp6)) -> ((hskp25)\/((hskp17)\/(hskp21))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (c3_1 (a1)) -> (~(c0_1 (a1))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (c0_1 (a15)) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> False). % 1.37/1.52 do 0 intro. intros zenon_H9c zenon_H42 zenon_H167 zenon_H2f zenon_H2d zenon_H2b zenon_H130 zenon_H43 zenon_H304 zenon_H2fb zenon_H115 zenon_H116 zenon_H117 zenon_Hd zenon_H1a9 zenon_H166. % 1.37/1.52 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.37/1.52 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H12e | zenon_intro zenon_H161 ]. % 1.37/1.52 apply (zenon_L507_); trivial. % 1.37/1.52 apply (zenon_L1308_); trivial. % 1.37/1.52 apply (zenon_L1217_); trivial. % 1.37/1.52 (* end of lemma zenon_L1349_ *) % 1.37/1.52 assert (zenon_L1350_ : ((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37)))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (~(c2_1 (a16))) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((hskp25)\/((hskp17)\/(hskp21))) -> (~(hskp17)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp19)) -> (c3_1 (a1)) -> (~(c0_1 (a1))) -> (~(c2_1 (a1))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (c0_1 (a15)) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> False). % 1.37/1.52 do 0 intro. intros zenon_H1d7 zenon_H166 zenon_H95 zenon_He9 zenon_Hea zenon_Heb zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_Hfc zenon_H130 zenon_H9 zenon_H14a zenon_H144 zenon_H304 zenon_H2fb zenon_H2fd zenon_H115 zenon_H116 zenon_H117 zenon_Hd zenon_H1a9 zenon_H167. % 1.37/1.52 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H1a. zenon_intro zenon_H1d8. % 1.37/1.52 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1d0. zenon_intro zenon_H1d9. % 1.37/1.52 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1ce. zenon_intro zenon_H1cf. % 1.37/1.52 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H12e | zenon_intro zenon_H161 ]. % 1.37/1.52 apply (zenon_L1222_); trivial. % 1.37/1.52 apply (zenon_L861_); trivial. % 1.37/1.52 (* end of lemma zenon_L1350_ *) % 1.37/1.52 assert (zenon_L1351_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp11)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (~(c2_1 (a16))) -> (ndr1_0) -> (~(c3_1 (a18))) -> (c0_1 (a18)) -> (c2_1 (a18)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> (~(hskp4)) -> (c0_1 (a15)) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> (~(c2_1 (a1))) -> (~(c0_1 (a1))) -> (c3_1 (a1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp17)) -> ((hskp25)\/((hskp17)\/(hskp21))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> False). % 1.37/1.52 do 0 intro. intros zenon_H17b zenon_H93 zenon_H91 zenon_H1c1 zenon_Hfc zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_Heb zenon_Hea zenon_He9 zenon_H1a zenon_Hc1 zenon_He0 zenon_Hc2 zenon_H1c6 zenon_H167 zenon_H1a9 zenon_Hd zenon_H117 zenon_H116 zenon_H115 zenon_H2fd zenon_H2fb zenon_H304 zenon_H14a zenon_H9 zenon_H130 zenon_H95 zenon_H166 zenon_H1da. % 1.37/1.52 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.37/1.52 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.37/1.52 apply (zenon_L860_); trivial. % 1.37/1.52 apply (zenon_L1350_); trivial. % 1.37/1.52 apply (zenon_L153_); trivial. % 1.37/1.52 (* end of lemma zenon_L1351_ *) % 1.37/1.52 assert (zenon_L1352_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((hskp25)\/((hskp17)\/(hskp21))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c3_1 (a1)) -> (~(c0_1 (a1))) -> (~(c2_1 (a1))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (c0_1 (a15)) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> (c2_1 (a18)) -> (c0_1 (a18)) -> (~(c3_1 (a18))) -> (ndr1_0) -> (~(c2_1 (a16))) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> (~(hskp11)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> False). % 1.37/1.52 do 0 intro. intros zenon_H9c zenon_Hd3 zenon_H1ee zenon_H1c2 zenon_H1da zenon_H166 zenon_H95 zenon_H130 zenon_H14a zenon_H304 zenon_H2fb zenon_H2fd zenon_H115 zenon_H116 zenon_H117 zenon_Hd zenon_H1a9 zenon_H167 zenon_H1c6 zenon_Hc2 zenon_He0 zenon_Hc1 zenon_H1a zenon_He9 zenon_Hea zenon_Heb zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_Hfc zenon_H1c1 zenon_H91 zenon_H93 zenon_H17b. % 1.37/1.52 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.37/1.52 apply (zenon_L1351_); trivial. % 1.37/1.52 apply (zenon_L1229_); trivial. % 1.37/1.52 (* end of lemma zenon_L1352_ *) % 1.37/1.52 assert (zenon_L1353_ : ((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> (~(hskp4)) -> (c0_1 (a15)) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c3_1 W)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> (c2_1 (a19)) -> (~(c3_1 (a19))) -> (~(c1_1 (a19))) -> (~(c2_1 (a1))) -> (~(c0_1 (a1))) -> (c3_1 (a1)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> False). % 1.37/1.52 do 0 intro. intros zenon_H1d7 zenon_H167 zenon_H1a9 zenon_Hd zenon_H117 zenon_H116 zenon_H115 zenon_H1f0 zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_H277 zenon_H1c2 zenon_Hb0 zenon_Haf zenon_Hae zenon_H2fd zenon_H2fb zenon_H304 zenon_H1ee zenon_Hd3 zenon_H1c1. % 1.37/1.52 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H1a. zenon_intro zenon_H1d8. % 1.37/1.52 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1d0. zenon_intro zenon_H1d9. % 1.37/1.52 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1ce. zenon_intro zenon_H1cf. % 1.37/1.52 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H12c | zenon_intro zenon_H148 ]. % 1.37/1.52 apply (zenon_L1185_); trivial. % 1.37/1.52 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H1a. zenon_intro zenon_H14b. % 1.37/1.52 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H13b. zenon_intro zenon_H14c. % 1.37/1.52 apply (zenon_and_s _ _ zenon_H14c). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 1.37/1.52 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H1aa ]. % 1.37/1.52 apply (zenon_or_s _ _ zenon_H1ee); [ zenon_intro zenon_H1e7 | zenon_intro zenon_H1ef ]. % 1.37/1.52 apply (zenon_L751_); trivial. % 1.37/1.52 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H3b | zenon_intro zenon_H6d ]. % 1.37/1.52 apply (zenon_L752_); trivial. % 1.37/1.52 apply (zenon_L1164_); trivial. % 1.37/1.52 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_Hf2 | zenon_intro zenon_He ]. % 1.37/1.52 apply (zenon_L73_); trivial. % 1.37/1.52 exact (zenon_Hd zenon_He). % 1.37/1.52 (* end of lemma zenon_L1353_ *) % 1.37/1.52 assert (zenon_L1354_ : ((ndr1_0)/\((c2_1 (a19))/\((~(c1_1 (a19)))/\(~(c3_1 (a19)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> (~(hskp4)) -> (c0_1 (a15)) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c3_1 W)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> (~(c2_1 (a1))) -> (~(c0_1 (a1))) -> (c3_1 (a1)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> (c2_1 (a18)) -> (c0_1 (a18)) -> (~(c3_1 (a18))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> False). % 1.37/1.52 do 0 intro. intros zenon_He5 zenon_H1da zenon_H167 zenon_H1a9 zenon_Hd zenon_H117 zenon_H116 zenon_H115 zenon_H1f0 zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_H277 zenon_H1c2 zenon_H2fd zenon_H2fb zenon_H304 zenon_H1ee zenon_H1c6 zenon_Hc2 zenon_He0 zenon_Hc1 zenon_Hd3 zenon_H1c1. % 1.37/1.52 apply (zenon_and_s _ _ zenon_He5). zenon_intro zenon_H1a. zenon_intro zenon_He6. % 1.37/1.52 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_Hb0. zenon_intro zenon_He7. % 1.37/1.52 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hae. zenon_intro zenon_Haf. % 1.37/1.52 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.37/1.52 apply (zenon_L279_); trivial. % 1.37/1.52 apply (zenon_L1353_); trivial. % 1.37/1.52 (* end of lemma zenon_L1354_ *) % 1.37/1.52 assert (zenon_L1355_ : ((ndr1_0)/\((c0_1 (a18))/\((c2_1 (a18))/\(~(c3_1 (a18)))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a19))/\((~(c1_1 (a19)))/\(~(c3_1 (a19))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c3_1 W)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (~(c2_1 (a16))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> (~(hskp4)) -> (c0_1 (a15)) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> (~(c2_1 (a1))) -> (~(c0_1 (a1))) -> (c3_1 (a1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((hskp25)\/((hskp17)\/(hskp21))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> False). % 1.37/1.52 do 0 intro. intros zenon_H217 zenon_H213 zenon_H1f0 zenon_H277 zenon_H17b zenon_H93 zenon_H1c1 zenon_Hfc zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_Heb zenon_Hea zenon_He9 zenon_H1c6 zenon_H167 zenon_H1a9 zenon_Hd zenon_H117 zenon_H116 zenon_H115 zenon_H2fd zenon_H2fb zenon_H304 zenon_H14a zenon_H130 zenon_H95 zenon_H166 zenon_H1da zenon_H1c2 zenon_H1ee zenon_Hd3 zenon_H9c. % 1.37/1.52 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H1a. zenon_intro zenon_H218. % 1.37/1.52 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_He0. zenon_intro zenon_H219. % 1.37/1.52 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_Hc2. zenon_intro zenon_Hc1. % 1.37/1.52 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H91 | zenon_intro zenon_He5 ]. % 1.37/1.52 apply (zenon_L1352_); trivial. % 1.37/1.52 apply (zenon_L1354_); trivial. % 1.37/1.52 (* end of lemma zenon_L1355_ *) % 1.37/1.52 assert (zenon_L1356_ : ((ndr1_0)/\((c0_1 (a16))/\((~(c2_1 (a16)))/\(~(c3_1 (a16)))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a18))/\((c2_1 (a18))/\(~(c3_1 (a18))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a19))/\((~(c1_1 (a19)))/\(~(c3_1 (a19))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c3_1 W)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> (~(c2_1 (a1))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> (~(hskp4)) -> (c0_1 (a15)) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> (~(c0_1 (a1))) -> (c3_1 (a1)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> ((hskp25)\/((hskp17)\/(hskp21))) -> (~(hskp6)) -> ((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp6)\/(hskp10))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> False). % 1.37/1.52 do 0 intro. intros zenon_H216 zenon_H212 zenon_H213 zenon_H1f0 zenon_H277 zenon_H17b zenon_H93 zenon_H1c1 zenon_Hfc zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_H1c6 zenon_H2fd zenon_H14a zenon_H95 zenon_H1da zenon_H1c2 zenon_H1ee zenon_Hd3 zenon_H166 zenon_H1a9 zenon_Hd zenon_H117 zenon_H116 zenon_H115 zenon_H2fb zenon_H304 zenon_H43 zenon_H130 zenon_H2b zenon_H2f zenon_H167 zenon_H42 zenon_H9c. % 1.37/1.52 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_H1a. zenon_intro zenon_H21a. % 1.37/1.52 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_Heb. zenon_intro zenon_H21b. % 1.37/1.52 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_He9. zenon_intro zenon_Hea. % 1.37/1.52 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H2d | zenon_intro zenon_H217 ]. % 1.37/1.52 apply (zenon_L1349_); trivial. % 1.37/1.52 apply (zenon_L1355_); trivial. % 1.37/1.52 (* end of lemma zenon_L1356_ *) % 1.37/1.52 assert (zenon_L1357_ : ((~(hskp8))\/((ndr1_0)/\((c0_1 (a15))/\((~(c1_1 (a15)))/\(~(c2_1 (a15))))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a18))/\((c2_1 (a18))/\(~(c3_1 (a18))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> ((hskp25)\/((hskp17)\/(hskp21))) -> ((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp6)\/(hskp10))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> ((~(hskp13))\/((ndr1_0)/\((~(c0_1 (a22)))/\((~(c2_1 (a22)))/\(~(c3_1 (a22))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c3_1 W))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((hskp9)\/(hskp24))) -> (c3_1 (a1)) -> (~(c0_1 (a1))) -> (~(c2_1 (a1))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c3_1 W)))))))) -> (~(hskp7)) -> ((hskp7)\/((hskp9)\/(hskp13))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(hskp7)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> (~(hskp4)) -> ((hskp17)\/((hskp8)\/(hskp4))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a19))/\((~(c1_1 (a19)))/\(~(c3_1 (a19))))))) -> ((~(hskp9))\/((ndr1_0)/\((c0_1 (a16))/\((~(c2_1 (a16)))/\(~(c3_1 (a16))))))) -> False). % 1.37/1.52 do 0 intro. intros zenon_H211 zenon_H212 zenon_H1f0 zenon_H95 zenon_H166 zenon_H43 zenon_H130 zenon_H2f zenon_H42 zenon_H287 zenon_H48 zenon_H7d zenon_H2b zenon_H7b zenon_H304 zenon_H2fb zenon_H2fd zenon_H277 zenon_H1 zenon_H7 zenon_H9c zenon_H17b zenon_H93 zenon_H1c1 zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_H1c6 zenon_Hfc zenon_H1ee zenon_H1c2 zenon_Hd3 zenon_Hb7 zenon_H1a9 zenon_H14a zenon_H167 zenon_H1da zenon_Hd zenon_Hf zenon_H213 zenon_H215. % 1.37/1.52 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_Hb | zenon_intro zenon_H20e ]. % 1.37/1.52 apply (zenon_L1348_); trivial. % 1.37/1.52 apply (zenon_and_s _ _ zenon_H20e). zenon_intro zenon_H1a. zenon_intro zenon_H20f. % 1.37/1.52 apply (zenon_and_s _ _ zenon_H20f). zenon_intro zenon_H117. zenon_intro zenon_H210. % 1.37/1.52 apply (zenon_and_s _ _ zenon_H210). zenon_intro zenon_H115. zenon_intro zenon_H116. % 1.37/1.52 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H3 | zenon_intro zenon_H216 ]. % 1.37/1.52 apply (zenon_L1344_); trivial. % 1.37/1.52 apply (zenon_L1356_); trivial. % 1.37/1.52 (* end of lemma zenon_L1357_ *) % 1.37/1.52 assert (zenon_L1358_ : ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp19)) -> (~(c2_1 (a14))) -> (forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14)))))) -> (c0_1 (a14)) -> (c3_1 (a14)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c2_1 (a3)) -> (c3_1 (a3)) -> (c1_1 (a3)) -> (forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32)))))) -> (ndr1_0) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> (~(c3_1 (a25))) -> (c0_1 (a25)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(hskp11)) -> False). % 1.37/1.52 do 0 intro. intros zenon_H93 zenon_H144 zenon_H11f zenon_Hf2 zenon_H120 zenon_H121 zenon_H14a zenon_H1e zenon_H1f zenon_H1d zenon_H1b zenon_H1a zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_H18e zenon_H18f zenon_Hfc zenon_H91. % 1.37/1.52 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H49 | zenon_intro zenon_H94 ]. % 1.37/1.52 apply (zenon_L111_); trivial. % 1.37/1.52 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H8e | zenon_intro zenon_H92 ]. % 1.37/1.52 apply (zenon_L743_); trivial. % 1.37/1.52 exact (zenon_H91 zenon_H92). % 1.37/1.52 (* end of lemma zenon_L1358_ *) % 1.37/1.52 assert (zenon_L1359_ : ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp11)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c0_1 (a25)) -> (~(c3_1 (a25))) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> (c1_1 (a3)) -> (c3_1 (a3)) -> (c2_1 (a3)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c3_1 (a14)) -> (c0_1 (a14)) -> (forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14)))))) -> (~(c2_1 (a14))) -> (~(hskp19)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (c0_1 (a31)) -> (c2_1 (a31)) -> (~(c1_1 (a31))) -> (ndr1_0) -> (forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10)))))) -> (~(hskp10)) -> False). % 1.37/1.52 do 0 intro. intros zenon_H43 zenon_H91 zenon_Hfc zenon_H18f zenon_H18e zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_H1d zenon_H1f zenon_H1e zenon_H14a zenon_H121 zenon_H120 zenon_Hf2 zenon_H11f zenon_H144 zenon_H93 zenon_H3c zenon_H33 zenon_H32 zenon_H1a zenon_H3b zenon_H2d. % 1.37/1.52 apply (zenon_or_s _ _ zenon_H43); [ zenon_intro zenon_H1b | zenon_intro zenon_H47 ]. % 1.37/1.52 apply (zenon_L1358_); trivial. % 1.37/1.52 apply (zenon_or_s _ _ zenon_H47); [ zenon_intro zenon_H31 | zenon_intro zenon_H2e ]. % 1.37/1.52 apply (zenon_L19_); trivial. % 1.37/1.52 exact (zenon_H2d zenon_H2e). % 1.37/1.52 (* end of lemma zenon_L1359_ *) % 1.37/1.52 assert (zenon_L1360_ : ((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> (c3_1 (a1)) -> (~(c0_1 (a1))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp11)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c0_1 (a25)) -> (~(c3_1 (a25))) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c3_1 (a14)) -> (c0_1 (a14)) -> (~(c2_1 (a14))) -> (~(hskp19)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (c0_1 (a31)) -> (c2_1 (a31)) -> (~(c1_1 (a31))) -> (~(hskp10)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> (~(hskp4)) -> False). % 1.37/1.52 do 0 intro. intros zenon_H41 zenon_H1a9 zenon_H304 zenon_H2fb zenon_H43 zenon_H91 zenon_Hfc zenon_H18f zenon_H18e zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_H14a zenon_H121 zenon_H120 zenon_H11f zenon_H144 zenon_H93 zenon_H3c zenon_H33 zenon_H32 zenon_H2d zenon_H42 zenon_Hd. % 1.37/1.52 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H1a. zenon_intro zenon_H44. % 1.37/1.52 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H1d. zenon_intro zenon_H45. % 1.37/1.52 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H1e. zenon_intro zenon_H1f. % 1.37/1.52 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H1aa ]. % 1.37/1.52 apply (zenon_L1162_); trivial. % 1.37/1.52 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_Hf2 | zenon_intro zenon_He ]. % 1.37/1.52 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H1b | zenon_intro zenon_H46 ]. % 1.37/1.52 apply (zenon_L1358_); trivial. % 1.37/1.52 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_He ]. % 1.37/1.52 apply (zenon_L1359_); trivial. % 1.37/1.52 exact (zenon_Hd zenon_He). % 1.37/1.52 exact (zenon_Hd zenon_He). % 1.37/1.52 (* end of lemma zenon_L1360_ *) % 1.37/1.52 assert (zenon_L1361_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(~(c3_1 (a25))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> (~(hskp9)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((hskp9)\/(hskp24))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> (~(hskp11)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((hskp17)\/((hskp8)\/(hskp4))) -> (~(hskp4)) -> (~(hskp8)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (c3_1 (a14)) -> (c0_1 (a14)) -> (~(c2_1 (a14))) -> (~(c2_1 (a1))) -> (c3_1 (a1)) -> (~(c0_1 (a1))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> False). % 1.37/1.52 do 0 intro. intros zenon_H1a2 zenon_H17b zenon_H1a9 zenon_H3 zenon_H7b zenon_H14a zenon_Hfc zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_H91 zenon_H93 zenon_H48 zenon_Hf zenon_Hd zenon_Hb zenon_H149 zenon_H121 zenon_H120 zenon_H11f zenon_H2fd zenon_H304 zenon_H2fb zenon_H43 zenon_H2d zenon_H42 zenon_H9c. % 1.37/1.52 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H146 | zenon_intro zenon_H19f ]. % 1.37/1.52 apply (zenon_L1182_); trivial. % 1.37/1.52 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H1a. zenon_intro zenon_H1a0. % 1.37/1.52 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H18f. zenon_intro zenon_H1a1. % 1.37/1.52 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H19a. zenon_intro zenon_H18e. % 1.37/1.52 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.37/1.52 apply (zenon_L8_); trivial. % 1.37/1.52 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.37/1.52 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.37/1.52 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.37/1.52 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.37/1.52 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H11 | zenon_intro zenon_H41 ]. % 1.37/1.52 apply (zenon_L1184_); trivial. % 1.37/1.52 apply (zenon_L1360_); trivial. % 1.37/1.52 apply (zenon_L814_); trivial. % 1.37/1.52 (* end of lemma zenon_L1361_ *) % 1.37/1.52 assert (zenon_L1362_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> (c3_1 (a1)) -> (~(c0_1 (a1))) -> (~(c2_1 (a1))) -> (~(c2_1 (a16))) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> (~(c1_1 (a31))) -> (c0_1 (a31)) -> (c2_1 (a31)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (ndr1_0) -> (~(c0_1 (a37))) -> (~(c3_1 (a37))) -> (~(hskp25)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> (c3_1 (a14)) -> (c0_1 (a14)) -> (~(c2_1 (a14))) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> False). % 1.37/1.52 do 0 intro. intros zenon_H1c1 zenon_H1ee zenon_H304 zenon_H2fb zenon_H2fd zenon_He9 zenon_Hea zenon_Heb zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_H32 zenon_H3c zenon_H33 zenon_Hfc zenon_H1a zenon_H1ce zenon_H1cf zenon_H12c zenon_H1c2 zenon_H121 zenon_H120 zenon_H11f zenon_Hd zenon_H1a9. % 1.37/1.52 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1be ]. % 1.37/1.52 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H1aa ]. % 1.37/1.52 apply (zenon_L1345_); trivial. % 1.37/1.52 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_Hf2 | zenon_intro zenon_He ]. % 1.37/1.52 apply (zenon_L734_); trivial. % 1.37/1.52 exact (zenon_Hd zenon_He). % 1.37/1.52 apply (zenon_L696_); trivial. % 1.37/1.52 (* end of lemma zenon_L1362_ *) % 1.37/1.52 assert (zenon_L1363_ : ((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c3_1 W)))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (~(c2_1 (a16))) -> (~(c1_1 (a31))) -> (c0_1 (a31)) -> (c2_1 (a31)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> (~(c0_1 (a37))) -> (~(c3_1 (a37))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> (~(c0_1 (a1))) -> (~(c2_1 (a1))) -> (c3_1 (a1)) -> False). % 1.37/1.52 do 0 intro. intros zenon_H148 zenon_H277 zenon_Hfc zenon_Heb zenon_Hea zenon_He9 zenon_H32 zenon_H3c zenon_H33 zenon_H1ee zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_H1ce zenon_H1cf zenon_H1f0 zenon_H2fb zenon_H2fd zenon_H304. % 1.37/1.52 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H1a. zenon_intro zenon_H14b. % 1.37/1.52 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H13b. zenon_intro zenon_H14c. % 1.37/1.52 apply (zenon_and_s _ _ zenon_H14c). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 1.37/1.52 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H4b | zenon_intro zenon_H278 ]. % 1.37/1.52 apply (zenon_or_s _ _ zenon_H1ee); [ zenon_intro zenon_H1e7 | zenon_intro zenon_H1ef ]. % 1.37/1.52 apply (zenon_L751_); trivial. % 1.37/1.52 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H3b | zenon_intro zenon_H6d ]. % 1.37/1.52 apply (zenon_L700_); trivial. % 1.37/1.52 apply (zenon_L1150_); trivial. % 1.37/1.52 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H1e7 | zenon_intro zenon_H69 ]. % 1.37/1.52 apply (zenon_L751_); trivial. % 1.37/1.52 apply (zenon_L1151_); trivial. % 1.37/1.52 (* end of lemma zenon_L1363_ *) % 1.37/1.52 assert (zenon_L1364_ : ((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c3_1 W)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> (~(hskp4)) -> (~(c2_1 (a14))) -> (c0_1 (a14)) -> (c3_1 (a14)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c2_1 (a31)) -> (c0_1 (a31)) -> (~(c1_1 (a31))) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (~(c2_1 (a16))) -> (~(c2_1 (a1))) -> (~(c0_1 (a1))) -> (c3_1 (a1)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> False). % 1.37/1.52 do 0 intro. intros zenon_H1d7 zenon_H167 zenon_H277 zenon_H1f0 zenon_H1a9 zenon_Hd zenon_H11f zenon_H120 zenon_H121 zenon_H1c2 zenon_Hfc zenon_H33 zenon_H3c zenon_H32 zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_Heb zenon_Hea zenon_He9 zenon_H2fd zenon_H2fb zenon_H304 zenon_H1ee zenon_H1c1. % 1.37/1.52 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H1a. zenon_intro zenon_H1d8. % 1.37/1.52 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1d0. zenon_intro zenon_H1d9. % 1.37/1.52 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1ce. zenon_intro zenon_H1cf. % 1.37/1.52 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H12c | zenon_intro zenon_H148 ]. % 1.37/1.52 apply (zenon_L1362_); trivial. % 1.37/1.52 apply (zenon_L1363_); trivial. % 1.37/1.52 (* end of lemma zenon_L1364_ *) % 1.37/1.52 assert (zenon_L1365_ : ((~(hskp9))\/((ndr1_0)/\((c0_1 (a16))/\((~(c2_1 (a16)))/\(~(c3_1 (a16))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a19))/\((~(c1_1 (a19)))/\(~(c3_1 (a19))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp8)\/(hskp9))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp24))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c3_1 W)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(c0_1 (a1))) -> (c3_1 (a1)) -> (~(c2_1 (a1))) -> (~(c2_1 (a14))) -> (c0_1 (a14)) -> (c3_1 (a14)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (~(hskp8)) -> (~(hskp4)) -> ((hskp17)\/((hskp8)\/(hskp4))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((hskp9)\/(hskp24))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(~(c3_1 (a25))))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a18))/\((c2_1 (a18))/\(~(c3_1 (a18))))))) -> False). % 1.37/1.52 do 0 intro. intros zenon_H215 zenon_H1f0 zenon_H213 zenon_H1a3 zenon_H95 zenon_H177 zenon_H1f8 zenon_H1c6 zenon_Hd3 zenon_H1c1 zenon_H1ee zenon_H1c2 zenon_H277 zenon_H167 zenon_H1da zenon_H9c zenon_H42 zenon_H43 zenon_H2fb zenon_H304 zenon_H2fd zenon_H11f zenon_H120 zenon_H121 zenon_H149 zenon_Hb zenon_Hd zenon_Hf zenon_H48 zenon_H93 zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_Hfc zenon_H14a zenon_H7b zenon_H1a9 zenon_H17b zenon_H1a2 zenon_H212. % 1.37/1.52 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H3 | zenon_intro zenon_H216 ]. % 1.37/1.52 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H2d | zenon_intro zenon_H217 ]. % 1.37/1.52 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H91 | zenon_intro zenon_He5 ]. % 1.37/1.52 apply (zenon_L1361_); trivial. % 1.37/1.52 apply (zenon_L1189_); trivial. % 1.37/1.52 apply (zenon_L1195_); trivial. % 1.37/1.52 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_H1a. zenon_intro zenon_H21a. % 1.37/1.52 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_Heb. zenon_intro zenon_H21b. % 1.37/1.52 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_He9. zenon_intro zenon_Hea. % 1.37/1.52 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.37/1.52 apply (zenon_L8_); trivial. % 1.37/1.52 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.37/1.52 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.37/1.52 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.37/1.52 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.37/1.52 apply (zenon_L697_); trivial. % 1.37/1.52 apply (zenon_L1364_); trivial. % 1.37/1.52 (* end of lemma zenon_L1365_ *) % 1.37/1.52 assert (zenon_L1366_ : ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> (~(hskp24)) -> (~(hskp9)) -> (~(c2_1 (a1))) -> (~(c0_1 (a1))) -> (c3_1 (a1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((hskp9)\/(hskp24))) -> (c0_1 (a15)) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> (ndr1_0) -> (~(hskp4)) -> False). % 1.37/1.52 do 0 intro. intros zenon_H1a9 zenon_H11 zenon_H3 zenon_H2fd zenon_H2fb zenon_H304 zenon_H7b zenon_H117 zenon_H116 zenon_H115 zenon_H1a zenon_Hd. % 1.37/1.52 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H1aa ]. % 1.37/1.52 apply (zenon_L1183_); trivial. % 1.37/1.52 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_Hf2 | zenon_intro zenon_He ]. % 1.37/1.52 apply (zenon_L73_); trivial. % 1.37/1.52 exact (zenon_Hd zenon_He). % 1.37/1.52 (* end of lemma zenon_L1366_ *) % 1.37/1.52 assert (zenon_L1367_ : ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (c3_1 (a3)) -> (c2_1 (a3)) -> (c1_1 (a3)) -> (forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1)))))) -> (ndr1_0) -> (~(c2_1 (a1))) -> (forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13)))))) -> (~(c0_1 (a1))) -> (c3_1 (a1)) -> (c0_1 (a18)) -> (c2_1 (a18)) -> (~(c3_1 (a18))) -> (~(hskp19)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> False). % 1.37/1.52 do 0 intro. intros zenon_Hd3 zenon_H1f zenon_H1e zenon_H1d zenon_Hd6 zenon_H1a zenon_H2fd zenon_H1a5 zenon_H2fb zenon_H304 zenon_He0 zenon_Hc2 zenon_Hc1 zenon_H144 zenon_H14a. % 1.37/1.52 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_Had | zenon_intro zenon_Hcd ]. % 1.37/1.52 apply (zenon_L1169_); trivial. % 1.37/1.52 apply (zenon_L53_); trivial. % 1.37/1.52 (* end of lemma zenon_L1367_ *) % 1.37/1.52 assert (zenon_L1368_ : ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp27)\/(hskp26))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp19)) -> (~(c3_1 (a18))) -> (c2_1 (a18)) -> (c0_1 (a18)) -> (c3_1 (a1)) -> (~(c0_1 (a1))) -> (forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13)))))) -> (~(c2_1 (a1))) -> (ndr1_0) -> (c1_1 (a3)) -> (c2_1 (a3)) -> (c3_1 (a3)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(hskp27)) -> (~(hskp26)) -> False). % 1.37/1.52 do 0 intro. intros zenon_H1f2 zenon_H14a zenon_H144 zenon_Hc1 zenon_Hc2 zenon_He0 zenon_H304 zenon_H2fb zenon_H1a5 zenon_H2fd zenon_H1a zenon_H1d zenon_H1e zenon_H1f zenon_Hd3 zenon_H59 zenon_H1b3. % 1.37/1.52 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_Hd6 | zenon_intro zenon_H1f3 ]. % 1.37/1.52 apply (zenon_L1367_); trivial. % 1.37/1.52 apply (zenon_or_s _ _ zenon_H1f3); [ zenon_intro zenon_H5a | zenon_intro zenon_H1b4 ]. % 1.37/1.52 exact (zenon_H59 zenon_H5a). % 1.37/1.52 exact (zenon_H1b3 zenon_H1b4). % 1.37/1.52 (* end of lemma zenon_L1368_ *) % 1.37/1.52 assert (zenon_L1369_ : ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (c0_1 (a11)) -> (c3_1 (a11)) -> (c1_1 (a11)) -> (forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36)))))) -> (c2_1 (a3)) -> (c3_1 (a3)) -> (c1_1 (a3)) -> (ndr1_0) -> (~(c2_1 (a1))) -> (forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13)))))) -> (~(c0_1 (a1))) -> (c3_1 (a1)) -> (c0_1 (a18)) -> (c2_1 (a18)) -> (~(c3_1 (a18))) -> (~(hskp19)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> False). % 1.37/1.52 do 0 intro. intros zenon_Hd3 zenon_H9b zenon_H70 zenon_H6f zenon_H49 zenon_H1e zenon_H1f zenon_H1d zenon_H1a zenon_H2fd zenon_H1a5 zenon_H2fb zenon_H304 zenon_He0 zenon_Hc2 zenon_Hc1 zenon_H144 zenon_H14a. % 1.37/1.52 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_Had | zenon_intro zenon_Hcd ]. % 1.37/1.52 apply (zenon_L1169_); trivial. % 1.37/1.52 apply (zenon_L741_); trivial. % 1.37/1.52 (* end of lemma zenon_L1369_ *) % 1.37/1.52 assert (zenon_L1370_ : ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp19)) -> (c3_1 (a1)) -> (~(c0_1 (a1))) -> (forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13)))))) -> (~(c2_1 (a1))) -> (c1_1 (a3)) -> (c3_1 (a3)) -> (c2_1 (a3)) -> (c1_1 (a11)) -> (c3_1 (a11)) -> (c0_1 (a11)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (c2_1 (a18)) -> (c0_1 (a18)) -> (~(c3_1 (a18))) -> (ndr1_0) -> (~(hskp11)) -> False). % 1.37/1.52 do 0 intro. intros zenon_H93 zenon_H14a zenon_H144 zenon_H304 zenon_H2fb zenon_H1a5 zenon_H2fd zenon_H1d zenon_H1f zenon_H1e zenon_H6f zenon_H70 zenon_H9b zenon_Hd3 zenon_Hc2 zenon_He0 zenon_Hc1 zenon_H1a zenon_H91. % 1.37/1.52 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H49 | zenon_intro zenon_H94 ]. % 1.37/1.52 apply (zenon_L1369_); trivial. % 1.37/1.52 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H8e | zenon_intro zenon_H92 ]. % 1.37/1.52 apply (zenon_L59_); trivial. % 1.37/1.52 exact (zenon_H91 zenon_H92). % 1.37/1.52 (* end of lemma zenon_L1370_ *) % 1.37/1.52 assert (zenon_L1371_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> (~(hskp4)) -> (c0_1 (a15)) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> (ndr1_0) -> (~(c2_1 (a1))) -> (~(c0_1 (a1))) -> (c3_1 (a1)) -> (~(hskp9)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((hskp9)\/(hskp24))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a11))/\((c1_1 (a11))/\(c3_1 (a11)))))) -> (~(hskp11)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp27)\/(hskp26))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(c3_1 (a18))) -> (c2_1 (a18)) -> (c0_1 (a18)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> False). % 1.37/1.52 do 0 intro. intros zenon_H17b zenon_H1a9 zenon_Hd zenon_H117 zenon_H116 zenon_H115 zenon_H1a zenon_H2fd zenon_H2fb zenon_H304 zenon_H3 zenon_H7b zenon_H97 zenon_H91 zenon_H93 zenon_H1f2 zenon_H14a zenon_Hc1 zenon_Hc2 zenon_He0 zenon_Hd3 zenon_H1c1 zenon_H48. % 1.37/1.52 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.37/1.52 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H11 | zenon_intro zenon_H41 ]. % 1.37/1.52 apply (zenon_L1366_); trivial. % 1.37/1.52 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H1a. zenon_intro zenon_H44. % 1.37/1.52 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H1d. zenon_intro zenon_H45. % 1.37/1.52 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H1e. zenon_intro zenon_H1f. % 1.37/1.52 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1be ]. % 1.37/1.52 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H98 ]. % 1.37/1.52 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H1aa ]. % 1.37/1.52 apply (zenon_L1368_); trivial. % 1.37/1.52 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_Hf2 | zenon_intro zenon_He ]. % 1.37/1.52 apply (zenon_L73_); trivial. % 1.37/1.52 exact (zenon_Hd zenon_He). % 1.37/1.52 apply (zenon_and_s _ _ zenon_H98). zenon_intro zenon_H1a. zenon_intro zenon_H99. % 1.37/1.52 apply (zenon_and_s _ _ zenon_H99). zenon_intro zenon_H9b. zenon_intro zenon_H9a. % 1.37/1.52 apply (zenon_and_s _ _ zenon_H9a). zenon_intro zenon_H6f. zenon_intro zenon_H70. % 1.37/1.52 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H1aa ]. % 1.37/1.52 apply (zenon_L1370_); trivial. % 1.37/1.52 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_Hf2 | zenon_intro zenon_He ]. % 1.37/1.52 apply (zenon_L73_); trivial. % 1.37/1.52 exact (zenon_Hd zenon_He). % 1.37/1.52 apply (zenon_L1219_); trivial. % 1.37/1.52 apply (zenon_L153_); trivial. % 1.37/1.52 (* end of lemma zenon_L1371_ *) % 1.37/1.52 assert (zenon_L1372_ : ((~(hskp10))\/((ndr1_0)/\((c0_1 (a18))/\((c2_1 (a18))/\(~(c3_1 (a18))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a19))/\((~(c1_1 (a19)))/\(~(c3_1 (a19))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c3_1 W)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp27)\/(hskp26))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a11))/\((c1_1 (a11))/\(c3_1 (a11)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((hskp9)\/(hskp24))) -> (~(hskp9)) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (c0_1 (a15)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> (~(hskp4)) -> (~(c2_1 (a1))) -> (~(c0_1 (a1))) -> (c3_1 (a1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((hskp25)\/((hskp17)\/(hskp21))) -> (~(hskp1)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> (ndr1_0) -> (~(c2_1 (a14))) -> (c0_1 (a14)) -> (c3_1 (a14)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> False). % 1.37/1.52 do 0 intro. intros zenon_H212 zenon_H213 zenon_H1da zenon_H1f0 zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_H277 zenon_H1c2 zenon_H1ee zenon_H1c6 zenon_H48 zenon_H1c1 zenon_Hd3 zenon_H1f2 zenon_H93 zenon_H97 zenon_H7b zenon_H3 zenon_H17a zenon_H17b zenon_H177 zenon_H43 zenon_H115 zenon_H116 zenon_H117 zenon_H167 zenon_H1a9 zenon_Hd zenon_H2fd zenon_H2fb zenon_H304 zenon_H14a zenon_H130 zenon_Hde zenon_H162 zenon_H166 zenon_H1a zenon_H11f zenon_H120 zenon_H121 zenon_H12a zenon_H42 zenon_H9c. % 1.37/1.52 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H2d | zenon_intro zenon_H217 ]. % 1.37/1.52 apply (zenon_L1218_); trivial. % 1.37/1.52 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H1a. zenon_intro zenon_H218. % 1.37/1.52 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_He0. zenon_intro zenon_H219. % 1.37/1.52 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_Hc2. zenon_intro zenon_Hc1. % 1.37/1.52 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H91 | zenon_intro zenon_He5 ]. % 1.37/1.52 apply (zenon_L1371_); trivial. % 1.37/1.52 apply (zenon_L1354_); trivial. % 1.37/1.52 (* end of lemma zenon_L1372_ *) % 1.37/1.52 assert (zenon_L1373_ : ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (~(c2_1 (a1))) -> (c3_1 (a1)) -> (~(c0_1 (a1))) -> (forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32)))))) -> (ndr1_0) -> (~(c1_1 (a31))) -> (c0_1 (a31)) -> (c2_1 (a31)) -> (~(hskp7)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(hskp7)) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> (~(c2_1 (a8))) -> (c0_1 (a8)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(hskp15)) -> False). % 1.37/1.52 do 0 intro. intros zenon_H149 zenon_H2fd zenon_H304 zenon_H2fb zenon_H1b zenon_H1a zenon_H32 zenon_H3c zenon_H33 zenon_H1 zenon_Hb7 zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_H21f zenon_H228 zenon_Hfc zenon_H146. % 1.37/1.52 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H132 | zenon_intro zenon_H14d ]. % 1.37/1.52 apply (zenon_L1178_); trivial. % 1.37/1.52 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H11e | zenon_intro zenon_H147 ]. % 1.37/1.52 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfd ]. % 1.37/1.52 apply (zenon_L231_); trivial. % 1.37/1.52 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hf3 | zenon_intro zenon_Hcd ]. % 1.37/1.52 apply (zenon_L687_); trivial. % 1.37/1.52 apply (zenon_L50_); trivial. % 1.37/1.52 exact (zenon_H146 zenon_H147). % 1.37/1.52 (* end of lemma zenon_L1373_ *) % 1.37/1.52 assert (zenon_L1374_ : ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp15)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c0_1 (a8)) -> (~(c2_1 (a8))) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(hskp7)) -> (~(hskp7)) -> (~(c0_1 (a1))) -> (c3_1 (a1)) -> (~(c2_1 (a1))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (c0_1 (a31)) -> (c2_1 (a31)) -> (~(c1_1 (a31))) -> (ndr1_0) -> (forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10)))))) -> (~(hskp10)) -> False). % 1.37/1.52 do 0 intro. intros zenon_H43 zenon_H146 zenon_Hfc zenon_H228 zenon_H21f zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_Hb7 zenon_H1 zenon_H2fb zenon_H304 zenon_H2fd zenon_H149 zenon_H3c zenon_H33 zenon_H32 zenon_H1a zenon_H3b zenon_H2d. % 1.37/1.52 apply (zenon_or_s _ _ zenon_H43); [ zenon_intro zenon_H1b | zenon_intro zenon_H47 ]. % 1.37/1.52 apply (zenon_L1373_); trivial. % 1.37/1.52 apply (zenon_or_s _ _ zenon_H47); [ zenon_intro zenon_H31 | zenon_intro zenon_H2e ]. % 1.37/1.52 apply (zenon_L19_); trivial. % 1.37/1.52 exact (zenon_H2d zenon_H2e). % 1.37/1.52 (* end of lemma zenon_L1374_ *) % 1.37/1.52 assert (zenon_L1375_ : ((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(~(c3_1 (a25)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(hskp7)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(hskp7)) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> (~(c2_1 (a8))) -> (c1_1 (a8)) -> (c0_1 (a8)) -> (~(hskp9)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((hskp9)\/(hskp24))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp8)\/(hskp9))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> (~(hskp8)) -> (~(hskp4)) -> ((hskp17)\/((hskp8)\/(hskp4))) -> False). % 1.37/1.52 do 0 intro. intros zenon_H19f zenon_H9c zenon_H17b zenon_Hfc zenon_H1 zenon_Hb7 zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_H21f zenon_H220 zenon_H228 zenon_H3 zenon_H7b zenon_H93 zenon_H91 zenon_H14a zenon_H1a3 zenon_H48 zenon_Hb zenon_Hd zenon_Hf. % 1.37/1.52 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H1a. zenon_intro zenon_H1a0. % 1.37/1.52 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H18f. zenon_intro zenon_H1a1. % 1.37/1.52 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H19a. zenon_intro zenon_H18e. % 1.37/1.52 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.37/1.52 apply (zenon_L8_); trivial. % 1.37/1.52 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.37/1.52 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.37/1.52 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.37/1.52 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.37/1.52 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H11 | zenon_intro zenon_H41 ]. % 1.37/1.52 apply (zenon_L766_); trivial. % 1.37/1.52 apply (zenon_L871_); trivial. % 1.37/1.52 apply (zenon_L814_); trivial. % 1.37/1.52 (* end of lemma zenon_L1375_ *) % 1.37/1.52 assert (zenon_L1376_ : ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(hskp7)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(hskp7)) -> (ndr1_0) -> (~(c2_1 (a8))) -> (forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))) -> (c1_1 (a8)) -> (c0_1 (a8)) -> (forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14)))))) -> (~(c2_1 (a16))) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> (~(c1_1 (a31))) -> (c0_1 (a31)) -> (c2_1 (a31)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> False). % 1.37/1.53 do 0 intro. intros zenon_Hd3 zenon_H1 zenon_Hb7 zenon_H1a zenon_H21f zenon_H6d zenon_H220 zenon_H228 zenon_Hf2 zenon_He9 zenon_Hea zenon_Heb zenon_H32 zenon_H3c zenon_H33 zenon_Hfc. % 1.37/1.53 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_Had | zenon_intro zenon_Hcd ]. % 1.37/1.53 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfd ]. % 1.37/1.53 apply (zenon_L223_); trivial. % 1.37/1.53 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hf3 | zenon_intro zenon_Hcd ]. % 1.37/1.53 apply (zenon_L64_); trivial. % 1.37/1.53 apply (zenon_L49_); trivial. % 1.37/1.53 apply (zenon_L50_); trivial. % 1.37/1.53 (* end of lemma zenon_L1376_ *) % 1.37/1.53 assert (zenon_L1377_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> (~(hskp26)) -> (~(hskp25)) -> (~(c0_1 (a37))) -> (~(c3_1 (a37))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(hskp7)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(hskp7)) -> (ndr1_0) -> (~(c2_1 (a8))) -> (c1_1 (a8)) -> (c0_1 (a8)) -> (forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14)))))) -> (~(c2_1 (a16))) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> (~(c1_1 (a31))) -> (c0_1 (a31)) -> (c2_1 (a31)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> False). % 1.37/1.53 do 0 intro. intros zenon_H1ee zenon_H1b3 zenon_H12c zenon_H1ce zenon_H1cf zenon_H1c2 zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_Hd3 zenon_H1 zenon_Hb7 zenon_H1a zenon_H21f zenon_H220 zenon_H228 zenon_Hf2 zenon_He9 zenon_Hea zenon_Heb zenon_H32 zenon_H3c zenon_H33 zenon_Hfc. % 1.37/1.53 apply (zenon_or_s _ _ zenon_H1ee); [ zenon_intro zenon_H1e7 | zenon_intro zenon_H1ef ]. % 1.37/1.53 apply (zenon_L167_); trivial. % 1.37/1.53 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H3b | zenon_intro zenon_H6d ]. % 1.37/1.53 apply (zenon_L700_); trivial. % 1.37/1.53 apply (zenon_L1376_); trivial. % 1.37/1.53 (* end of lemma zenon_L1377_ *) % 1.37/1.53 assert (zenon_L1378_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> (c3_1 (a1)) -> (~(c0_1 (a1))) -> (~(c2_1 (a1))) -> (~(c2_1 (a16))) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> (~(c1_1 (a31))) -> (c0_1 (a31)) -> (c2_1 (a31)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (ndr1_0) -> (~(c0_1 (a37))) -> (~(c3_1 (a37))) -> (~(hskp25)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> (c0_1 (a8)) -> (c1_1 (a8)) -> (~(c2_1 (a8))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(hskp7)) -> (~(hskp7)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> False). % 1.37/1.53 do 0 intro. intros zenon_H1c1 zenon_H1ee zenon_H304 zenon_H2fb zenon_H2fd zenon_He9 zenon_Hea zenon_Heb zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_H32 zenon_H3c zenon_H33 zenon_Hfc zenon_H1a zenon_H1ce zenon_H1cf zenon_H12c zenon_H1c2 zenon_H228 zenon_H220 zenon_H21f zenon_Hb7 zenon_H1 zenon_Hd3 zenon_Hd zenon_H1a9. % 1.37/1.53 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1be ]. % 1.37/1.53 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H1aa ]. % 1.37/1.53 apply (zenon_L1345_); trivial. % 1.37/1.53 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_Hf2 | zenon_intro zenon_He ]. % 1.37/1.53 apply (zenon_L1377_); trivial. % 1.37/1.53 exact (zenon_Hd zenon_He). % 1.37/1.53 apply (zenon_L696_); trivial. % 1.37/1.53 (* end of lemma zenon_L1378_ *) % 1.37/1.53 assert (zenon_L1379_ : ((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> (~(hskp19)) -> (~(c2_1 (a1))) -> (~(c0_1 (a1))) -> (c3_1 (a1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c2_1 (a31)) -> (c0_1 (a31)) -> (~(c1_1 (a31))) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (~(c2_1 (a16))) -> (c0_1 (a8)) -> (c1_1 (a8)) -> (~(c2_1 (a8))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(hskp7)) -> (~(hskp7)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> (~(c3_1 (a37))) -> (~(c0_1 (a37))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> (~(hskp4)) -> False). % 1.37/1.53 do 0 intro. intros zenon_H148 zenon_H1a9 zenon_H144 zenon_H2fd zenon_H2fb zenon_H304 zenon_H14a zenon_Hfc zenon_H33 zenon_H3c zenon_H32 zenon_Heb zenon_Hea zenon_He9 zenon_H228 zenon_H220 zenon_H21f zenon_Hb7 zenon_H1 zenon_Hd3 zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_H1f0 zenon_H1cf zenon_H1ce zenon_H1ee zenon_Hd. % 1.37/1.53 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H1a. zenon_intro zenon_H14b. % 1.37/1.53 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H13b. zenon_intro zenon_H14c. % 1.37/1.53 apply (zenon_and_s _ _ zenon_H14c). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 1.37/1.53 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H1aa ]. % 1.37/1.53 apply (zenon_L1165_); trivial. % 1.37/1.53 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_Hf2 | zenon_intro zenon_He ]. % 1.37/1.53 apply (zenon_or_s _ _ zenon_H1ee); [ zenon_intro zenon_H1e7 | zenon_intro zenon_H1ef ]. % 1.37/1.53 apply (zenon_L751_); trivial. % 1.37/1.53 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H3b | zenon_intro zenon_H6d ]. % 1.37/1.53 apply (zenon_L700_); trivial. % 1.37/1.53 apply (zenon_L1376_); trivial. % 1.37/1.53 exact (zenon_Hd zenon_He). % 1.37/1.53 (* end of lemma zenon_L1379_ *) % 1.37/1.53 assert (zenon_L1380_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> (~(hskp19)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(hskp7)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(hskp7)) -> (~(c2_1 (a8))) -> (c1_1 (a8)) -> (c0_1 (a8)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> (~(c1_1 (a31))) -> (~(c2_1 (a1))) -> (~(c0_1 (a1))) -> (c3_1 (a1)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c0_1 (a31)) -> (c2_1 (a31)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (~(c2_1 (a16))) -> (ndr1_0) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> False). % 1.37/1.53 do 0 intro. intros zenon_H1da zenon_H167 zenon_H1f0 zenon_H144 zenon_H14a zenon_H1a9 zenon_Hd zenon_Hd3 zenon_H1 zenon_Hb7 zenon_H21f zenon_H220 zenon_H228 zenon_H1c2 zenon_H32 zenon_H2fd zenon_H2fb zenon_H304 zenon_H1ee zenon_Hfc zenon_H3c zenon_H33 zenon_H1c6 zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_Heb zenon_Hea zenon_He9 zenon_H1a zenon_H1c1. % 1.37/1.53 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.37/1.53 apply (zenon_L697_); trivial. % 1.37/1.53 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H1a. zenon_intro zenon_H1d8. % 1.37/1.53 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1d0. zenon_intro zenon_H1d9. % 1.37/1.53 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1ce. zenon_intro zenon_H1cf. % 1.37/1.53 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H12c | zenon_intro zenon_H148 ]. % 1.37/1.53 apply (zenon_L1378_); trivial. % 1.37/1.53 apply (zenon_L1379_); trivial. % 1.37/1.53 (* end of lemma zenon_L1380_ *) % 1.37/1.53 assert (zenon_L1381_ : ((~(hskp9))\/((ndr1_0)/\((c0_1 (a16))/\((~(c2_1 (a16)))/\(~(c3_1 (a16))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a19))/\((~(c1_1 (a19)))/\(~(c3_1 (a19))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(c0_1 (a1))) -> (c3_1 (a1)) -> (~(c2_1 (a1))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(hskp7)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(hskp7)) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> (c0_1 (a8)) -> (~(c2_1 (a8))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (~(hskp8)) -> (~(hskp4)) -> ((hskp17)\/((hskp8)\/(hskp4))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp8)\/(hskp9))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((hskp9)\/(hskp24))) -> (c1_1 (a8)) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(~(c3_1 (a25))))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a18))/\((c2_1 (a18))/\(~(c3_1 (a18))))))) -> False). % 1.37/1.53 do 0 intro. intros zenon_H215 zenon_H1da zenon_H167 zenon_H1f0 zenon_H1a9 zenon_Hd3 zenon_H1c2 zenon_H1ee zenon_H1c6 zenon_H1c1 zenon_H213 zenon_H9c zenon_H42 zenon_H43 zenon_H2fb zenon_H304 zenon_H2fd zenon_Hfc zenon_H1 zenon_Hb7 zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_H228 zenon_H21f zenon_H149 zenon_Hb zenon_Hd zenon_Hf zenon_H48 zenon_H1a3 zenon_H14a zenon_H93 zenon_H7b zenon_H220 zenon_H17b zenon_H1a2 zenon_H212. % 1.37/1.53 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H3 | zenon_intro zenon_H216 ]. % 1.37/1.53 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H2d | zenon_intro zenon_H217 ]. % 1.37/1.53 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H91 | zenon_intro zenon_He5 ]. % 1.37/1.53 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H146 | zenon_intro zenon_H19f ]. % 1.37/1.53 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.37/1.53 apply (zenon_L8_); trivial. % 1.37/1.53 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.37/1.53 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.37/1.53 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.37/1.53 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H1b | zenon_intro zenon_H46 ]. % 1.37/1.53 apply (zenon_L1373_); trivial. % 1.37/1.53 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H3b | zenon_intro zenon_He ]. % 1.37/1.53 apply (zenon_L1374_); trivial. % 1.37/1.53 exact (zenon_Hd zenon_He). % 1.37/1.53 apply (zenon_L1375_); trivial. % 1.37/1.53 apply (zenon_L62_); trivial. % 1.37/1.53 apply (zenon_L774_); trivial. % 1.37/1.53 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_H1a. zenon_intro zenon_H21a. % 1.37/1.53 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_Heb. zenon_intro zenon_H21b. % 1.37/1.53 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_He9. zenon_intro zenon_Hea. % 1.37/1.53 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H91 | zenon_intro zenon_He5 ]. % 1.37/1.53 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.37/1.53 apply (zenon_L8_); trivial. % 1.37/1.53 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.37/1.53 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.37/1.53 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.37/1.53 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.37/1.53 apply (zenon_L1380_); trivial. % 1.37/1.53 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1a. zenon_intro zenon_H178. % 1.37/1.53 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H16a. zenon_intro zenon_H179. % 1.37/1.53 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H171. zenon_intro zenon_H168. % 1.37/1.53 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.37/1.53 apply (zenon_L697_); trivial. % 1.37/1.53 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H1a. zenon_intro zenon_H1d8. % 1.37/1.53 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1d0. zenon_intro zenon_H1d9. % 1.37/1.53 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1ce. zenon_intro zenon_H1cf. % 1.37/1.53 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H12c | zenon_intro zenon_H148 ]. % 1.37/1.53 apply (zenon_L1378_); trivial. % 1.37/1.53 apply (zenon_L940_); trivial. % 1.37/1.53 apply (zenon_L62_); trivial. % 1.37/1.53 (* end of lemma zenon_L1381_ *) % 1.37/1.53 assert (zenon_L1382_ : ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> (~(hskp1)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> (~(hskp10)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> ((hskp25)\/((hskp17)\/(hskp21))) -> (~(hskp17)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c3_1 (a1)) -> (~(c0_1 (a1))) -> (~(c2_1 (a1))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (c0_1 (a15)) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> (c0_1 (a8)) -> (~(c2_1 (a8))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> False). % 1.37/1.53 do 0 intro. intros zenon_H17a zenon_H177 zenon_Hde zenon_H162 zenon_H166 zenon_H2d zenon_H43 zenon_H130 zenon_H9 zenon_H14a zenon_H304 zenon_H2fb zenon_H2fd zenon_H115 zenon_H116 zenon_H117 zenon_Hd zenon_H1a9 zenon_H167 zenon_H93 zenon_H91 zenon_Hfc zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_H228 zenon_H21f zenon_H12a zenon_H17b. % 1.37/1.53 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H128 | zenon_intro zenon_H17c ]. % 1.37/1.53 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.37/1.53 apply (zenon_L1309_); trivial. % 1.37/1.53 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1a. zenon_intro zenon_H178. % 1.37/1.53 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H16a. zenon_intro zenon_H179. % 1.37/1.53 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H171. zenon_intro zenon_H168. % 1.37/1.53 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H12e | zenon_intro zenon_H161 ]. % 1.37/1.53 apply (zenon_L808_); trivial. % 1.37/1.53 apply (zenon_L1308_); trivial. % 1.37/1.53 apply (zenon_L1311_); trivial. % 1.37/1.53 (* end of lemma zenon_L1382_ *) % 1.37/1.53 assert (zenon_L1383_ : ((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> (c3_1 (a1)) -> (~(c0_1 (a1))) -> (~(c2_1 (a1))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp10)) -> (~(c0_1 (a22))) -> (~(c2_1 (a22))) -> (~(c3_1 (a22))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> (c0_1 (a15)) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> (~(hskp4)) -> False). % 1.37/1.53 do 0 intro. intros zenon_H9e zenon_H1a9 zenon_H304 zenon_H2fb zenon_H2fd zenon_H43 zenon_H2d zenon_H80 zenon_H89 zenon_H81 zenon_H1ee zenon_H117 zenon_H116 zenon_H115 zenon_Hd. % 1.37/1.53 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.37/1.53 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.37/1.53 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.37/1.53 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H1aa ]. % 1.37/1.53 apply (zenon_or_s _ _ zenon_H1ee); [ zenon_intro zenon_H1e7 | zenon_intro zenon_H1ef ]. % 1.37/1.53 apply (zenon_L221_); trivial. % 1.37/1.53 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H3b | zenon_intro zenon_H6d ]. % 1.37/1.53 apply (zenon_L1161_); trivial. % 1.37/1.53 apply (zenon_L1164_); trivial. % 1.37/1.53 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_Hf2 | zenon_intro zenon_He ]. % 1.37/1.53 apply (zenon_L73_); trivial. % 1.37/1.53 exact (zenon_Hd zenon_He). % 1.37/1.53 (* end of lemma zenon_L1383_ *) % 1.37/1.53 assert (zenon_L1384_ : ((~(hskp13))\/((ndr1_0)/\((~(c0_1 (a22)))/\((~(c2_1 (a22)))/\(~(c3_1 (a22))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> (~(c2_1 (a8))) -> (c0_1 (a8)) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(hskp11)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> (~(hskp4)) -> (c0_1 (a15)) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> (~(c2_1 (a1))) -> (~(c0_1 (a1))) -> (c3_1 (a1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((hskp25)\/((hskp17)\/(hskp21))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp10)) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> (~(hskp1)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> (~(hskp7)) -> (~(hskp9)) -> ((hskp7)\/((hskp9)\/(hskp13))) -> False). % 1.37/1.53 do 0 intro. intros zenon_H287 zenon_H9c zenon_H1ee zenon_H17b zenon_H12a zenon_H21f zenon_H228 zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_Hfc zenon_H91 zenon_H93 zenon_H167 zenon_H1a9 zenon_Hd zenon_H117 zenon_H116 zenon_H115 zenon_H2fd zenon_H2fb zenon_H304 zenon_H14a zenon_H130 zenon_H43 zenon_H2d zenon_H166 zenon_H162 zenon_Hde zenon_H177 zenon_H17a zenon_H1 zenon_H3 zenon_H7. % 1.37/1.53 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H5 | zenon_intro zenon_H284 ]. % 1.37/1.53 apply (zenon_L4_); trivial. % 1.37/1.53 apply (zenon_and_s _ _ zenon_H284). zenon_intro zenon_H1a. zenon_intro zenon_H285. % 1.37/1.53 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_H80. zenon_intro zenon_H286. % 1.37/1.53 apply (zenon_and_s _ _ zenon_H286). zenon_intro zenon_H89. zenon_intro zenon_H81. % 1.37/1.53 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.37/1.53 apply (zenon_L1382_); trivial. % 1.37/1.53 apply (zenon_L1383_); trivial. % 1.37/1.53 (* end of lemma zenon_L1384_ *) % 1.37/1.53 assert (zenon_L1385_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp19)) -> (c0_1 (a8)) -> (c1_1 (a8)) -> (~(c2_1 (a8))) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(c3_1 (a18))) -> (c0_1 (a18)) -> (c2_1 (a18)) -> (~(hskp20)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((hskp9)\/(hskp24))) -> (~(hskp9)) -> (c3_1 (a1)) -> (~(c0_1 (a1))) -> (~(c2_1 (a1))) -> (ndr1_0) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (c0_1 (a15)) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> False). % 1.37/1.53 do 0 intro. intros zenon_H48 zenon_H1c1 zenon_H93 zenon_H91 zenon_H14a zenon_H144 zenon_H228 zenon_H220 zenon_H21f zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_Hfc zenon_Hc1 zenon_He0 zenon_Hc2 zenon_H1c4 zenon_H1c6 zenon_H7b zenon_H3 zenon_H304 zenon_H2fb zenon_H2fd zenon_H1a zenon_H115 zenon_H116 zenon_H117 zenon_Hd zenon_H1a9. % 1.37/1.53 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H11 | zenon_intro zenon_H41 ]. % 1.37/1.53 apply (zenon_L1366_); trivial. % 1.37/1.53 apply (zenon_L821_); trivial. % 1.37/1.53 (* end of lemma zenon_L1385_ *) % 1.37/1.53 assert (zenon_L1386_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((hskp25)\/((hskp17)\/(hskp21))) -> (~(hskp17)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> (~(hskp4)) -> (c0_1 (a15)) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> (ndr1_0) -> (~(c2_1 (a1))) -> (~(c0_1 (a1))) -> (c3_1 (a1)) -> (~(hskp9)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((hskp9)\/(hskp24))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> (c2_1 (a18)) -> (c0_1 (a18)) -> (~(c3_1 (a18))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> (~(c2_1 (a8))) -> (c1_1 (a8)) -> (c0_1 (a8)) -> (~(hskp19)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp11)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> False). % 1.37/1.53 do 0 intro. intros zenon_H1da zenon_H166 zenon_H95 zenon_H130 zenon_H9 zenon_H167 zenon_H1a9 zenon_Hd zenon_H117 zenon_H116 zenon_H115 zenon_H1a zenon_H2fd zenon_H2fb zenon_H304 zenon_H3 zenon_H7b zenon_H1c6 zenon_Hc2 zenon_He0 zenon_Hc1 zenon_Hfc zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_H21f zenon_H220 zenon_H228 zenon_H144 zenon_H14a zenon_H91 zenon_H93 zenon_H1c1 zenon_H48. % 1.37/1.53 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.37/1.53 apply (zenon_L1385_); trivial. % 1.37/1.53 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H1a. zenon_intro zenon_H1d8. % 1.37/1.53 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1d0. zenon_intro zenon_H1d9. % 1.37/1.53 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1ce. zenon_intro zenon_H1cf. % 1.37/1.53 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H12e | zenon_intro zenon_H161 ]. % 1.37/1.53 apply (zenon_L1222_); trivial. % 1.37/1.53 apply (zenon_L830_); trivial. % 1.37/1.53 (* end of lemma zenon_L1386_ *) % 1.37/1.53 assert (zenon_L1387_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c0_1 (a8)) -> (c1_1 (a8)) -> (~(c2_1 (a8))) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(c3_1 (a18))) -> (c0_1 (a18)) -> (c2_1 (a18)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((hskp9)\/(hskp24))) -> (~(hskp9)) -> (c3_1 (a1)) -> (~(c0_1 (a1))) -> (~(c2_1 (a1))) -> (ndr1_0) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (c0_1 (a15)) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> (~(hskp17)) -> ((hskp25)\/((hskp17)\/(hskp21))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> False). % 1.37/1.53 do 0 intro. intros zenon_H17b zenon_H48 zenon_H1c1 zenon_H93 zenon_H91 zenon_H14a zenon_H228 zenon_H220 zenon_H21f zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_Hfc zenon_Hc1 zenon_He0 zenon_Hc2 zenon_H1c6 zenon_H7b zenon_H3 zenon_H304 zenon_H2fb zenon_H2fd zenon_H1a zenon_H115 zenon_H116 zenon_H117 zenon_Hd zenon_H1a9 zenon_H167 zenon_H9 zenon_H130 zenon_H95 zenon_H166 zenon_H1da. % 1.37/1.53 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.37/1.53 apply (zenon_L1386_); trivial. % 1.37/1.53 apply (zenon_L153_); trivial. % 1.37/1.53 (* end of lemma zenon_L1387_ *) % 1.37/1.53 assert (zenon_L1388_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((hskp25)\/((hskp17)\/(hskp21))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> (~(hskp4)) -> (c0_1 (a15)) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> (ndr1_0) -> (~(c2_1 (a1))) -> (~(c0_1 (a1))) -> (c3_1 (a1)) -> (~(hskp9)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((hskp9)\/(hskp24))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> (c2_1 (a18)) -> (c0_1 (a18)) -> (~(c3_1 (a18))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> (~(c2_1 (a8))) -> (c1_1 (a8)) -> (c0_1 (a8)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp11)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> False). % 1.37/1.53 do 0 intro. intros zenon_H9c zenon_H1ee zenon_H1c2 zenon_H1da zenon_H166 zenon_H95 zenon_H130 zenon_H167 zenon_H1a9 zenon_Hd zenon_H117 zenon_H116 zenon_H115 zenon_H1a zenon_H2fd zenon_H2fb zenon_H304 zenon_H3 zenon_H7b zenon_H1c6 zenon_Hc2 zenon_He0 zenon_Hc1 zenon_Hfc zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_H21f zenon_H220 zenon_H228 zenon_H14a zenon_H91 zenon_H93 zenon_H1c1 zenon_H48 zenon_H17b. % 1.37/1.53 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.37/1.53 apply (zenon_L1387_); trivial. % 1.37/1.53 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.37/1.53 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.37/1.53 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.37/1.53 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.37/1.53 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.37/1.53 apply (zenon_L1385_); trivial. % 1.37/1.53 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H1a. zenon_intro zenon_H1d8. % 1.37/1.53 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1d0. zenon_intro zenon_H1d9. % 1.37/1.53 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1ce. zenon_intro zenon_H1cf. % 1.37/1.53 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H11 | zenon_intro zenon_H41 ]. % 1.37/1.53 apply (zenon_L1366_); trivial. % 1.37/1.53 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H1a. zenon_intro zenon_H44. % 1.37/1.53 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H1d. zenon_intro zenon_H45. % 1.37/1.53 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H1e. zenon_intro zenon_H1f. % 1.37/1.53 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H12c | zenon_intro zenon_H148 ]. % 1.37/1.53 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1be ]. % 1.37/1.53 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H1aa ]. % 1.37/1.53 apply (zenon_or_s _ _ zenon_H1ee); [ zenon_intro zenon_H1e7 | zenon_intro zenon_H1ef ]. % 1.37/1.53 apply (zenon_L167_); trivial. % 1.37/1.53 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H3b | zenon_intro zenon_H6d ]. % 1.37/1.53 apply (zenon_L772_); trivial. % 1.37/1.53 apply (zenon_L1164_); trivial. % 1.37/1.53 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_Hf2 | zenon_intro zenon_He ]. % 1.37/1.53 apply (zenon_L73_); trivial. % 1.37/1.53 exact (zenon_Hd zenon_He). % 1.37/1.53 apply (zenon_L820_); trivial. % 1.37/1.53 apply (zenon_L1221_); trivial. % 1.37/1.53 apply (zenon_L153_); trivial. % 1.37/1.53 (* end of lemma zenon_L1388_ *) % 1.37/1.53 assert (zenon_L1389_ : ((ndr1_0)/\((c0_1 (a18))/\((c2_1 (a18))/\(~(c3_1 (a18)))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a19))/\((~(c1_1 (a19)))/\(~(c3_1 (a19))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c3_1 W)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c0_1 (a8)) -> (c1_1 (a8)) -> (~(c2_1 (a8))) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((hskp9)\/(hskp24))) -> (~(hskp9)) -> (c3_1 (a1)) -> (~(c0_1 (a1))) -> (~(c2_1 (a1))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (c0_1 (a15)) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((hskp25)\/((hskp17)\/(hskp21))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> False). % 1.41/1.53 do 0 intro. intros zenon_H217 zenon_H213 zenon_H1f0 zenon_H277 zenon_Hd3 zenon_H17b zenon_H48 zenon_H1c1 zenon_H93 zenon_H14a zenon_H228 zenon_H220 zenon_H21f zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_Hfc zenon_H1c6 zenon_H7b zenon_H3 zenon_H304 zenon_H2fb zenon_H2fd zenon_H115 zenon_H116 zenon_H117 zenon_Hd zenon_H1a9 zenon_H167 zenon_H130 zenon_H95 zenon_H166 zenon_H1da zenon_H1c2 zenon_H1ee zenon_H9c. % 1.41/1.53 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H1a. zenon_intro zenon_H218. % 1.41/1.53 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_He0. zenon_intro zenon_H219. % 1.41/1.53 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_Hc2. zenon_intro zenon_Hc1. % 1.41/1.53 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H91 | zenon_intro zenon_He5 ]. % 1.41/1.53 apply (zenon_L1388_); trivial. % 1.41/1.53 apply (zenon_L1354_); trivial. % 1.41/1.53 (* end of lemma zenon_L1389_ *) % 1.41/1.53 assert (zenon_L1390_ : ((~(hskp10))\/((ndr1_0)/\((c0_1 (a18))/\((c2_1 (a18))/\(~(c3_1 (a18))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c3_1 W)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> (c1_1 (a8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((hskp9)\/(hskp24))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((~(hskp13))\/((ndr1_0)/\((~(c0_1 (a22)))/\((~(c2_1 (a22)))/\(~(c3_1 (a22))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> (~(c2_1 (a8))) -> (c0_1 (a8)) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> (~(hskp4)) -> (c0_1 (a15)) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> (~(c2_1 (a1))) -> (~(c0_1 (a1))) -> (c3_1 (a1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((hskp25)\/((hskp17)\/(hskp21))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> (~(hskp1)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> (~(hskp7)) -> (~(hskp9)) -> ((hskp7)\/((hskp9)\/(hskp13))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(hskp7)) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a19))/\((~(c1_1 (a19)))/\(~(c3_1 (a19))))))) -> False). % 1.41/1.53 do 0 intro. intros zenon_H212 zenon_H1f0 zenon_H277 zenon_Hd3 zenon_H48 zenon_H1c1 zenon_H220 zenon_H1c6 zenon_H7b zenon_H95 zenon_H1da zenon_H1c2 zenon_H287 zenon_H9c zenon_H1ee zenon_H17b zenon_H12a zenon_H21f zenon_H228 zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_Hfc zenon_H93 zenon_H167 zenon_H1a9 zenon_Hd zenon_H117 zenon_H116 zenon_H115 zenon_H2fd zenon_H2fb zenon_H304 zenon_H14a zenon_H130 zenon_H43 zenon_H166 zenon_H162 zenon_Hde zenon_H177 zenon_H17a zenon_H1 zenon_H3 zenon_H7 zenon_Hb7 zenon_H213. % 1.41/1.53 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H2d | zenon_intro zenon_H217 ]. % 1.41/1.53 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H91 | zenon_intro zenon_He5 ]. % 1.41/1.53 apply (zenon_L1384_); trivial. % 1.41/1.53 apply (zenon_L62_); trivial. % 1.41/1.53 apply (zenon_L1389_); trivial. % 1.41/1.53 (* end of lemma zenon_L1390_ *) % 1.41/1.53 assert (zenon_L1391_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (~(c2_1 (a16))) -> (~(hskp11)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> (~(hskp4)) -> (c0_1 (a15)) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> (~(c2_1 (a1))) -> (~(c0_1 (a1))) -> (c3_1 (a1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp17)) -> ((hskp25)\/((hskp17)\/(hskp21))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp10)) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> False). % 1.41/1.53 do 0 intro. intros zenon_H17b zenon_Hfc zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_Heb zenon_Hea zenon_He9 zenon_H91 zenon_H93 zenon_H167 zenon_H1a9 zenon_Hd zenon_H117 zenon_H116 zenon_H115 zenon_H2fd zenon_H2fb zenon_H304 zenon_H14a zenon_H9 zenon_H130 zenon_H43 zenon_H2d zenon_H166. % 1.41/1.53 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.41/1.53 apply (zenon_L1309_); trivial. % 1.41/1.53 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1a. zenon_intro zenon_H178. % 1.41/1.53 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H16a. zenon_intro zenon_H179. % 1.41/1.53 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H171. zenon_intro zenon_H168. % 1.41/1.53 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H12e | zenon_intro zenon_H161 ]. % 1.41/1.53 apply (zenon_L941_); trivial. % 1.41/1.53 apply (zenon_L1308_); trivial. % 1.41/1.53 (* end of lemma zenon_L1391_ *) % 1.41/1.53 assert (zenon_L1392_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(hskp4))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> (~(hskp10)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> ((hskp25)\/((hskp17)\/(hskp21))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c3_1 (a1)) -> (~(c0_1 (a1))) -> (~(c2_1 (a1))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (c0_1 (a15)) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp11)) -> (~(c2_1 (a16))) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> False). % 1.41/1.53 do 0 intro. intros zenon_H9c zenon_H42 zenon_H166 zenon_H2d zenon_H43 zenon_H130 zenon_H14a zenon_H304 zenon_H2fb zenon_H2fd zenon_H115 zenon_H116 zenon_H117 zenon_Hd zenon_H1a9 zenon_H167 zenon_H93 zenon_H91 zenon_He9 zenon_Hea zenon_Heb zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_Hfc zenon_H17b. % 1.41/1.53 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.41/1.53 apply (zenon_L1391_); trivial. % 1.41/1.53 apply (zenon_L1217_); trivial. % 1.41/1.53 (* end of lemma zenon_L1392_ *) % 1.41/1.53 assert (zenon_L1393_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/(hskp13))) -> (~(hskp13)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp19)) -> (c0_1 (a8)) -> (c1_1 (a8)) -> (~(c2_1 (a8))) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c0_1 (a15)) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> (ndr1_0) -> (~(c3_1 (a18))) -> (c0_1 (a18)) -> (c2_1 (a18)) -> (~(hskp20)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> False). % 1.41/1.53 do 0 intro. intros zenon_H1c1 zenon_H247 zenon_H5 zenon_H14a zenon_H144 zenon_H228 zenon_H220 zenon_H21f zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_Hfc zenon_H117 zenon_H116 zenon_H115 zenon_H1a zenon_Hc1 zenon_He0 zenon_Hc2 zenon_H1c4 zenon_H1c6. % 1.41/1.53 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1be ]. % 1.41/1.53 apply (zenon_L197_); trivial. % 1.41/1.53 apply (zenon_L889_); trivial. % 1.41/1.53 (* end of lemma zenon_L1393_ *) % 1.41/1.53 assert (zenon_L1394_ : ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> (c3_1 (a1)) -> (~(c0_1 (a1))) -> (~(c2_1 (a1))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (~(c2_1 (a16))) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> (~(c1_1 (a31))) -> (c0_1 (a31)) -> (c2_1 (a31)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> (~(c3_1 (a37))) -> (~(c0_1 (a37))) -> (~(hskp25)) -> (~(hskp26)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> (c0_1 (a15)) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> (ndr1_0) -> (~(hskp4)) -> False). % 1.41/1.53 do 0 intro. intros zenon_H1a9 zenon_H304 zenon_H2fb zenon_H2fd zenon_Hfc zenon_Heb zenon_Hea zenon_He9 zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_H32 zenon_H3c zenon_H33 zenon_H1c2 zenon_H1cf zenon_H1ce zenon_H12c zenon_H1b3 zenon_H1ee zenon_H117 zenon_H116 zenon_H115 zenon_H1a zenon_Hd. % 1.41/1.53 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H1aa ]. % 1.41/1.53 apply (zenon_L1345_); trivial. % 1.41/1.53 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_Hf2 | zenon_intro zenon_He ]. % 1.41/1.53 apply (zenon_L73_); trivial. % 1.41/1.53 exact (zenon_Hd zenon_He). % 1.41/1.53 (* end of lemma zenon_L1394_ *) % 1.41/1.53 assert (zenon_L1395_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/(hskp13))) -> (~(hskp13)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp19)) -> (c0_1 (a8)) -> (c1_1 (a8)) -> (~(c2_1 (a8))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> (c3_1 (a1)) -> (~(c0_1 (a1))) -> (~(c2_1 (a1))) -> (~(c2_1 (a16))) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> (~(c1_1 (a31))) -> (c0_1 (a31)) -> (c2_1 (a31)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (ndr1_0) -> (~(c0_1 (a37))) -> (~(c3_1 (a37))) -> (~(hskp25)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (c0_1 (a15)) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> False). % 1.41/1.53 do 0 intro. intros zenon_H1c1 zenon_H247 zenon_H5 zenon_H14a zenon_H144 zenon_H228 zenon_H220 zenon_H21f zenon_H1ee zenon_H304 zenon_H2fb zenon_H2fd zenon_He9 zenon_Hea zenon_Heb zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_H32 zenon_H3c zenon_H33 zenon_Hfc zenon_H1a zenon_H1ce zenon_H1cf zenon_H12c zenon_H1c2 zenon_H115 zenon_H116 zenon_H117 zenon_Hd zenon_H1a9. % 1.41/1.53 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1be ]. % 1.41/1.53 apply (zenon_L1394_); trivial. % 1.41/1.53 apply (zenon_L889_); trivial. % 1.41/1.53 (* end of lemma zenon_L1395_ *) % 1.41/1.53 assert (zenon_L1396_ : ((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> (~(hskp4)) -> (c0_1 (a15)) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c2_1 (a31)) -> (c0_1 (a31)) -> (~(c1_1 (a31))) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (~(c2_1 (a16))) -> (~(c2_1 (a1))) -> (~(c0_1 (a1))) -> (c3_1 (a1)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> (~(c2_1 (a8))) -> (c1_1 (a8)) -> (c0_1 (a8)) -> (~(hskp19)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp13)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/(hskp13))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> False). % 1.41/1.53 do 0 intro. intros zenon_H1d7 zenon_H167 zenon_H1a9 zenon_Hd zenon_H117 zenon_H116 zenon_H115 zenon_H1c2 zenon_Hfc zenon_H33 zenon_H3c zenon_H32 zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_Heb zenon_Hea zenon_He9 zenon_H2fd zenon_H2fb zenon_H304 zenon_H1ee zenon_H21f zenon_H220 zenon_H228 zenon_H144 zenon_H14a zenon_H5 zenon_H247 zenon_H1c1. % 1.41/1.53 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H1a. zenon_intro zenon_H1d8. % 1.41/1.53 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1d0. zenon_intro zenon_H1d9. % 1.41/1.53 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1ce. zenon_intro zenon_H1cf. % 1.41/1.53 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H12c | zenon_intro zenon_H148 ]. % 1.41/1.53 apply (zenon_L1395_); trivial. % 1.41/1.53 apply (zenon_L1221_); trivial. % 1.41/1.53 (* end of lemma zenon_L1396_ *) % 1.41/1.53 assert (zenon_L1397_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> (c2_1 (a31)) -> (c0_1 (a31)) -> (~(c1_1 (a31))) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (~(c2_1 (a16))) -> (~(c2_1 (a1))) -> (~(c0_1 (a1))) -> (c3_1 (a1)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> (c2_1 (a18)) -> (c0_1 (a18)) -> (~(c3_1 (a18))) -> (ndr1_0) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (c0_1 (a15)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> (~(c2_1 (a8))) -> (c1_1 (a8)) -> (c0_1 (a8)) -> (~(hskp19)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp13)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/(hskp13))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> False). % 1.41/1.53 do 0 intro. intros zenon_H1da zenon_H167 zenon_H1a9 zenon_Hd zenon_H1c2 zenon_H33 zenon_H3c zenon_H32 zenon_Heb zenon_Hea zenon_He9 zenon_H2fd zenon_H2fb zenon_H304 zenon_H1ee zenon_H1c6 zenon_Hc2 zenon_He0 zenon_Hc1 zenon_H1a zenon_H115 zenon_H116 zenon_H117 zenon_Hfc zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_H21f zenon_H220 zenon_H228 zenon_H144 zenon_H14a zenon_H5 zenon_H247 zenon_H1c1. % 1.41/1.53 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.41/1.53 apply (zenon_L1393_); trivial. % 1.41/1.53 apply (zenon_L1396_); trivial. % 1.41/1.53 (* end of lemma zenon_L1397_ *) % 1.41/1.53 assert (zenon_L1398_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> (~(c3_1 (a22))) -> (~(c2_1 (a22))) -> (~(c0_1 (a22))) -> (c2_1 (a31)) -> (c0_1 (a31)) -> (~(c1_1 (a31))) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> (~(c2_1 (a16))) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (ndr1_0) -> (~(c2_1 (a1))) -> (forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13)))))) -> (~(c0_1 (a1))) -> (c3_1 (a1)) -> False). % 1.41/1.53 do 0 intro. intros zenon_H1ee zenon_H81 zenon_H89 zenon_H80 zenon_H33 zenon_H3c zenon_H32 zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_He9 zenon_Hea zenon_Heb zenon_Hfc zenon_H1a zenon_H2fd zenon_H1a5 zenon_H2fb zenon_H304. % 1.41/1.53 apply (zenon_or_s _ _ zenon_H1ee); [ zenon_intro zenon_H1e7 | zenon_intro zenon_H1ef ]. % 1.41/1.53 apply (zenon_L221_); trivial. % 1.41/1.53 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H3b | zenon_intro zenon_H6d ]. % 1.41/1.53 apply (zenon_L700_); trivial. % 1.41/1.53 apply (zenon_L1164_); trivial. % 1.41/1.53 (* end of lemma zenon_L1398_ *) % 1.41/1.53 assert (zenon_L1399_ : ((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> (c3_1 (a1)) -> (~(c0_1 (a1))) -> (~(c2_1 (a1))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (~(c2_1 (a16))) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> (~(c0_1 (a22))) -> (~(c2_1 (a22))) -> (~(c3_1 (a22))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> (c0_1 (a15)) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> (~(hskp4)) -> False). % 1.41/1.53 do 0 intro. intros zenon_H9e zenon_H1a9 zenon_H304 zenon_H2fb zenon_H2fd zenon_Hfc zenon_Heb zenon_Hea zenon_He9 zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_H80 zenon_H89 zenon_H81 zenon_H1ee zenon_H117 zenon_H116 zenon_H115 zenon_Hd. % 1.41/1.53 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.41/1.53 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.41/1.53 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.41/1.53 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H1aa ]. % 1.41/1.53 apply (zenon_L1398_); trivial. % 1.41/1.53 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_Hf2 | zenon_intro zenon_He ]. % 1.41/1.53 apply (zenon_L73_); trivial. % 1.41/1.53 exact (zenon_Hd zenon_He). % 1.41/1.53 (* end of lemma zenon_L1399_ *) % 1.41/1.53 assert (zenon_L1400_ : ((ndr1_0)/\((~(c0_1 (a22)))/\((~(c2_1 (a22)))/\(~(c3_1 (a22)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((hskp25)\/((hskp17)\/(hskp21))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c3_1 (a1)) -> (~(c0_1 (a1))) -> (~(c2_1 (a1))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (c0_1 (a15)) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> (c2_1 (a18)) -> (c0_1 (a18)) -> (~(c3_1 (a18))) -> (~(c2_1 (a16))) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> (~(hskp11)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> False). % 1.41/1.53 do 0 intro. intros zenon_H284 zenon_H9c zenon_H1ee zenon_H1da zenon_H166 zenon_H95 zenon_H130 zenon_H14a zenon_H304 zenon_H2fb zenon_H2fd zenon_H115 zenon_H116 zenon_H117 zenon_Hd zenon_H1a9 zenon_H167 zenon_H1c6 zenon_Hc2 zenon_He0 zenon_Hc1 zenon_He9 zenon_Hea zenon_Heb zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_Hfc zenon_H1c1 zenon_H91 zenon_H93 zenon_H17b. % 1.41/1.53 apply (zenon_and_s _ _ zenon_H284). zenon_intro zenon_H1a. zenon_intro zenon_H285. % 1.41/1.53 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_H80. zenon_intro zenon_H286. % 1.41/1.53 apply (zenon_and_s _ _ zenon_H286). zenon_intro zenon_H89. zenon_intro zenon_H81. % 1.41/1.53 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.41/1.53 apply (zenon_L1351_); trivial. % 1.41/1.53 apply (zenon_L1399_); trivial. % 1.41/1.53 (* end of lemma zenon_L1400_ *) % 1.41/1.53 assert (zenon_L1401_ : ((~(hskp13))\/((ndr1_0)/\((~(c0_1 (a22)))/\((~(c2_1 (a22)))/\(~(c3_1 (a22))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp11)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (~(c2_1 (a16))) -> (ndr1_0) -> (~(c3_1 (a18))) -> (c0_1 (a18)) -> (c2_1 (a18)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> (~(hskp4)) -> (c0_1 (a15)) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> (~(c2_1 (a1))) -> (~(c0_1 (a1))) -> (c3_1 (a1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((hskp25)\/((hskp17)\/(hskp21))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> (~(c2_1 (a8))) -> (c1_1 (a8)) -> (c0_1 (a8)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/(hskp13))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> False). % 1.41/1.53 do 0 intro. intros zenon_H287 zenon_H17b zenon_H93 zenon_H91 zenon_H1c1 zenon_Hfc zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_Heb zenon_Hea zenon_He9 zenon_H1a zenon_Hc1 zenon_He0 zenon_Hc2 zenon_H1c6 zenon_H167 zenon_H1a9 zenon_Hd zenon_H117 zenon_H116 zenon_H115 zenon_H2fd zenon_H2fb zenon_H304 zenon_H14a zenon_H130 zenon_H95 zenon_H166 zenon_H1da zenon_H1c2 zenon_H1ee zenon_H21f zenon_H220 zenon_H228 zenon_H247 zenon_H9c. % 1.41/1.53 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H5 | zenon_intro zenon_H284 ]. % 1.41/1.53 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.41/1.53 apply (zenon_L1351_); trivial. % 1.41/1.53 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.41/1.53 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.41/1.53 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.41/1.53 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.41/1.53 apply (zenon_L1397_); trivial. % 1.41/1.53 apply (zenon_L153_); trivial. % 1.41/1.53 apply (zenon_L1400_); trivial. % 1.41/1.53 (* end of lemma zenon_L1401_ *) % 1.41/1.53 assert (zenon_L1402_ : ((ndr1_0)/\((c0_1 (a18))/\((c2_1 (a18))/\(~(c3_1 (a18)))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a19))/\((~(c1_1 (a19)))/\(~(c3_1 (a19))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c3_1 W)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/(hskp13))) -> (c0_1 (a8)) -> (c1_1 (a8)) -> (~(c2_1 (a8))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((hskp25)\/((hskp17)\/(hskp21))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c3_1 (a1)) -> (~(c0_1 (a1))) -> (~(c2_1 (a1))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (c0_1 (a15)) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> (~(c2_1 (a16))) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c0_1 (a22)))/\((~(c2_1 (a22)))/\(~(c3_1 (a22))))))) -> False). % 1.41/1.53 do 0 intro. intros zenon_H217 zenon_H213 zenon_H1f0 zenon_H277 zenon_Hd3 zenon_H9c zenon_H247 zenon_H228 zenon_H220 zenon_H21f zenon_H1ee zenon_H1c2 zenon_H1da zenon_H166 zenon_H95 zenon_H130 zenon_H14a zenon_H304 zenon_H2fb zenon_H2fd zenon_H115 zenon_H116 zenon_H117 zenon_Hd zenon_H1a9 zenon_H167 zenon_H1c6 zenon_He9 zenon_Hea zenon_Heb zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_Hfc zenon_H1c1 zenon_H93 zenon_H17b zenon_H287. % 1.41/1.53 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H1a. zenon_intro zenon_H218. % 1.41/1.53 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_He0. zenon_intro zenon_H219. % 1.41/1.53 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_Hc2. zenon_intro zenon_Hc1. % 1.41/1.53 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H91 | zenon_intro zenon_He5 ]. % 1.41/1.53 apply (zenon_L1401_); trivial. % 1.41/1.53 apply (zenon_L1354_); trivial. % 1.41/1.53 (* end of lemma zenon_L1402_ *) % 1.41/1.53 assert (zenon_L1403_ : ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(c0_1 (a1))) -> (c3_1 (a1)) -> (~(c2_1 (a1))) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> (~(hskp15)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> ((hskp25)\/((hskp17)\/(hskp21))) -> (~(hskp17)) -> (~(hskp6)) -> (~(hskp10)) -> ((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp6)\/(hskp10))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> False). % 1.41/1.53 do 0 intro. intros zenon_H166 zenon_H43 zenon_H2fb zenon_H304 zenon_H2fd zenon_H254 zenon_H255 zenon_H256 zenon_H146 zenon_H149 zenon_H130 zenon_H9 zenon_H2b zenon_H2d zenon_H2f zenon_H167. % 1.41/1.53 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H12e | zenon_intro zenon_H161 ]. % 1.41/1.53 apply (zenon_L507_); trivial. % 1.41/1.53 apply (zenon_L1240_); trivial. % 1.41/1.53 (* end of lemma zenon_L1403_ *) % 1.41/1.53 assert (zenon_L1404_ : ((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp11)) -> (~(c3_1 (a25))) -> (c0_1 (a25)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> (~(c2_1 (a16))) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> False). % 1.41/1.53 do 0 intro. intros zenon_H9e zenon_H17b zenon_H93 zenon_H91 zenon_H18e zenon_H18f zenon_H1c1 zenon_He9 zenon_Hea zenon_Heb zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_H1c6 zenon_Hfc zenon_H1c2 zenon_H254 zenon_H255 zenon_H256 zenon_H1ee zenon_H14a zenon_H167 zenon_H1da. % 1.41/1.53 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.41/1.53 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.41/1.53 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.41/1.53 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.41/1.53 apply (zenon_L943_); trivial. % 1.41/1.53 apply (zenon_L814_); trivial. % 1.41/1.53 (* end of lemma zenon_L1404_ *) % 1.41/1.53 assert (zenon_L1405_ : ((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(~(c3_1 (a25)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> (~(c2_1 (a16))) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> (~(hskp11)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (~(c2_1 (a6))) -> ((hskp25)\/((hskp17)\/(hskp21))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> (~(hskp10)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> (~(hskp1)) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> False). % 1.41/1.53 do 0 intro. intros zenon_H19f zenon_H9c zenon_H1c1 zenon_He9 zenon_Hea zenon_Heb zenon_H1c6 zenon_H1c2 zenon_H1ee zenon_H1da zenon_H17b zenon_Hfc zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_H91 zenon_H93 zenon_H167 zenon_H14a zenon_H256 zenon_H255 zenon_H254 zenon_H130 zenon_H12a zenon_H2d zenon_H43 zenon_H166 zenon_H162 zenon_Hde zenon_H17a. % 1.41/1.53 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H1a. zenon_intro zenon_H1a0. % 1.41/1.53 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H18f. zenon_intro zenon_H1a1. % 1.41/1.53 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H19a. zenon_intro zenon_H18e. % 1.41/1.53 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.41/1.53 apply (zenon_L983_); trivial. % 1.41/1.53 apply (zenon_L1404_); trivial. % 1.41/1.53 (* end of lemma zenon_L1405_ *) % 1.41/1.53 assert (zenon_L1406_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(~(c3_1 (a25))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> (~(hskp1)) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(c0_1 (a1))) -> (c3_1 (a1)) -> (~(c2_1 (a1))) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> ((hskp25)\/((hskp17)\/(hskp21))) -> (~(hskp6)) -> (~(hskp10)) -> ((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/((hskp6)\/(hskp10))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (~(c2_1 (a16))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> (~(hskp11)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> False). % 1.41/1.53 do 0 intro. intros zenon_H1a2 zenon_H12a zenon_H162 zenon_Hde zenon_H17a zenon_H166 zenon_H43 zenon_H2fb zenon_H304 zenon_H2fd zenon_H254 zenon_H255 zenon_H256 zenon_H149 zenon_H130 zenon_H2b zenon_H2d zenon_H2f zenon_H167 zenon_H1da zenon_H14a zenon_H1ee zenon_H1c2 zenon_Hfc zenon_H1c6 zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_Heb zenon_Hea zenon_He9 zenon_H1c1 zenon_H91 zenon_H93 zenon_H17b zenon_H9c. % 1.41/1.53 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H146 | zenon_intro zenon_H19f ]. % 1.41/1.53 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.41/1.53 apply (zenon_L1403_); trivial. % 1.41/1.53 apply (zenon_L944_); trivial. % 1.41/1.53 apply (zenon_L1405_); trivial. % 1.41/1.53 (* end of lemma zenon_L1406_ *) % 1.41/1.53 assert (zenon_L1407_ : ((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c3_1 W)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> (~(c2_1 (a1))) -> (~(c0_1 (a1))) -> (c3_1 (a1)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (~(c2_1 (a6))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (~(c2_1 (a16))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> False). % 1.41/1.53 do 0 intro. intros zenon_H9e zenon_H1da zenon_H167 zenon_H277 zenon_H1f0 zenon_H2fd zenon_H2fb zenon_H304 zenon_H1ee zenon_H256 zenon_H255 zenon_H254 zenon_H1c2 zenon_Hfc zenon_H1c6 zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_Heb zenon_Hea zenon_He9 zenon_H1c1. % 1.41/1.53 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.41/1.53 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.41/1.53 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.41/1.53 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.41/1.53 apply (zenon_L697_); trivial. % 1.41/1.53 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H1a. zenon_intro zenon_H1d8. % 1.41/1.53 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1d0. zenon_intro zenon_H1d9. % 1.41/1.53 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1ce. zenon_intro zenon_H1cf. % 1.41/1.53 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H12c | zenon_intro zenon_H148 ]. % 1.41/1.53 apply (zenon_L942_); trivial. % 1.41/1.53 apply (zenon_L1363_); trivial. % 1.41/1.53 (* end of lemma zenon_L1407_ *) % 1.41/1.53 assert (zenon_L1408_ : ((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (~(c2_1 (a6))) -> (c0_1 (a18)) -> (c2_1 (a18)) -> (~(c3_1 (a18))) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c3_1 W)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> (c2_1 (a19)) -> (~(c3_1 (a19))) -> (~(c1_1 (a19))) -> (~(c2_1 (a1))) -> (~(c0_1 (a1))) -> (c3_1 (a1)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> False). % 1.41/1.53 do 0 intro. intros zenon_H1d7 zenon_H167 zenon_H256 zenon_H255 zenon_H254 zenon_He0 zenon_Hc2 zenon_Hc1 zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_H1f0 zenon_H277 zenon_H1c2 zenon_Hb0 zenon_Haf zenon_Hae zenon_H2fd zenon_H2fb zenon_H304 zenon_H1ee zenon_Hd3 zenon_H1c1. % 1.41/1.53 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H1a. zenon_intro zenon_H1d8. % 1.41/1.53 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1d0. zenon_intro zenon_H1d9. % 1.41/1.53 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1ce. zenon_intro zenon_H1cf. % 1.41/1.53 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H12c | zenon_intro zenon_H148 ]. % 1.41/1.53 apply (zenon_L1185_); trivial. % 1.41/1.53 apply (zenon_L967_); trivial. % 1.41/1.53 (* end of lemma zenon_L1408_ *) % 1.41/1.53 assert (zenon_L1409_ : ((ndr1_0)/\((c2_1 (a19))/\((~(c1_1 (a19)))/\(~(c3_1 (a19)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (~(c2_1 (a6))) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c3_1 W)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> (~(c2_1 (a1))) -> (~(c0_1 (a1))) -> (c3_1 (a1)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> (c2_1 (a18)) -> (c0_1 (a18)) -> (~(c3_1 (a18))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> False). % 1.41/1.53 do 0 intro. intros zenon_He5 zenon_H1da zenon_H167 zenon_H256 zenon_H255 zenon_H254 zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_H1f0 zenon_H277 zenon_H1c2 zenon_H2fd zenon_H2fb zenon_H304 zenon_H1ee zenon_H1c6 zenon_Hc2 zenon_He0 zenon_Hc1 zenon_Hd3 zenon_H1c1. % 1.41/1.53 apply (zenon_and_s _ _ zenon_He5). zenon_intro zenon_H1a. zenon_intro zenon_He6. % 1.41/1.53 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_Hb0. zenon_intro zenon_He7. % 1.41/1.53 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hae. zenon_intro zenon_Haf. % 1.41/1.53 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.41/1.53 apply (zenon_L279_); trivial. % 1.41/1.53 apply (zenon_L1408_); trivial. % 1.41/1.53 (* end of lemma zenon_L1409_ *) % 1.41/1.53 assert (zenon_L1410_ : ((ndr1_0)/\((c0_1 (a18))/\((c2_1 (a18))/\(~(c3_1 (a18)))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a19))/\((~(c1_1 (a19)))/\(~(c3_1 (a19))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((hskp25)\/((hskp17)\/(hskp21))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> (~(c2_1 (a16))) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> (c3_1 (a1)) -> (~(c0_1 (a1))) -> (~(c2_1 (a1))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c3_1 W)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> False). % 1.41/1.53 do 0 intro. intros zenon_H217 zenon_H213 zenon_H17b zenon_H93 zenon_H1c1 zenon_Hd3 zenon_H254 zenon_H255 zenon_H256 zenon_H14a zenon_H1c6 zenon_H167 zenon_H130 zenon_H95 zenon_H166 zenon_H1da zenon_He9 zenon_Hea zenon_Heb zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_Hfc zenon_H1c2 zenon_H1ee zenon_H304 zenon_H2fb zenon_H2fd zenon_H1f0 zenon_H277 zenon_H9c. % 1.41/1.53 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H1a. zenon_intro zenon_H218. % 1.41/1.53 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_He0. zenon_intro zenon_H219. % 1.41/1.53 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_Hc2. zenon_intro zenon_Hc1. % 1.41/1.53 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H91 | zenon_intro zenon_He5 ]. % 1.41/1.53 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.41/1.53 apply (zenon_L392_); trivial. % 1.41/1.53 apply (zenon_L1407_); trivial. % 1.41/1.53 apply (zenon_L1409_); trivial. % 1.41/1.53 (* end of lemma zenon_L1410_ *) % 1.41/1.53 assert (zenon_L1411_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c3_1 W))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(hskp6))) -> (~(hskp6)) -> (c3_1 (a1)) -> (~(c2_1 (a1))) -> (~(c0_1 (a1))) -> (ndr1_0) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> (~(hskp9)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((hskp9)\/(hskp24))) -> False). % 1.41/1.53 do 0 intro. intros zenon_H48 zenon_H7d zenon_H2b zenon_H304 zenon_H2fd zenon_H2fb zenon_H1a zenon_H254 zenon_H255 zenon_H256 zenon_H3 zenon_H7b. % 1.41/1.53 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H11 | zenon_intro zenon_H41 ]. % 1.41/1.53 apply (zenon_L329_); trivial. % 1.41/1.53 apply (zenon_L1342_); trivial. % 1.41/1.53 (* end of lemma zenon_L1411_ *) % 1.41/1.53 assert (zenon_L1412_ : ((ndr1_0)/\((c0_1 (a16))/\((~(c2_1 (a16)))/\(~(c3_1 (a16)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c3_1 W)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> (~(c2_1 (a1))) -> (~(c0_1 (a1))) -> (c3_1 (a1)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> (c3_1 (a14)) -> (c0_1 (a14)) -> (~(c2_1 (a14))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> (~(hskp1)) -> ((hskp25)\/((hskp17)\/(hskp21))) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> False). % 1.41/1.53 do 0 intro. intros zenon_H216 zenon_H9c zenon_H1da zenon_H277 zenon_H1f0 zenon_H2fd zenon_H2fb zenon_H304 zenon_H1ee zenon_H1c2 zenon_Hfc zenon_H1c6 zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_H1c1 zenon_H12a zenon_H121 zenon_H120 zenon_H11f zenon_H166 zenon_H162 zenon_Hde zenon_H130 zenon_H254 zenon_H255 zenon_H256 zenon_H14a zenon_H167 zenon_H177 zenon_H17b zenon_H17a. % 1.41/1.53 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_H1a. zenon_intro zenon_H21a. % 1.41/1.53 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_Heb. zenon_intro zenon_H21b. % 1.41/1.53 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_He9. zenon_intro zenon_Hea. % 1.41/1.53 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.41/1.53 apply (zenon_L411_); trivial. % 1.41/1.53 apply (zenon_L1407_); trivial. % 1.41/1.53 (* end of lemma zenon_L1412_ *) % 1.41/1.53 assert (zenon_L1413_ : ((ndr1_0)/\((c0_1 (a14))/\((c3_1 (a14))/\(~(c2_1 (a14)))))) -> ((~(hskp9))\/((ndr1_0)/\((c0_1 (a16))/\((~(c2_1 (a16)))/\(~(c3_1 (a16))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c3_1 W)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> (~(hskp1)) -> ((hskp25)\/((hskp17)\/(hskp21))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((hskp9)\/(hskp24))) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (~(c2_1 (a6))) -> (~(c0_1 (a1))) -> (~(c2_1 (a1))) -> (c3_1 (a1)) -> (~(hskp6)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c3_1 W))))))\/((forall X24 : zenon_U, ((ndr1_0)->((~(c1_1 X24))\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(hskp6))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> False). % 1.41/1.53 do 0 intro. intros zenon_H2a6 zenon_H215 zenon_H9c zenon_H1da zenon_H277 zenon_H1f0 zenon_H1ee zenon_H1c2 zenon_Hfc zenon_H1c6 zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_H1c1 zenon_H12a zenon_H166 zenon_H162 zenon_Hde zenon_H130 zenon_H14a zenon_H167 zenon_H177 zenon_H17b zenon_H17a zenon_H7b zenon_H256 zenon_H255 zenon_H254 zenon_H2fb zenon_H2fd zenon_H304 zenon_H2b zenon_H7d zenon_H48. % 1.41/1.53 apply (zenon_and_s _ _ zenon_H2a6). zenon_intro zenon_H1a. zenon_intro zenon_H2a7. % 1.41/1.53 apply (zenon_and_s _ _ zenon_H2a7). zenon_intro zenon_H120. zenon_intro zenon_H2a8. % 1.41/1.53 apply (zenon_and_s _ _ zenon_H2a8). zenon_intro zenon_H121. zenon_intro zenon_H11f. % 1.41/1.53 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H3 | zenon_intro zenon_H216 ]. % 1.41/1.53 apply (zenon_L1411_); trivial. % 1.41/1.53 apply (zenon_L1412_); trivial. % 1.41/1.53 (* end of lemma zenon_L1413_ *) % 1.41/1.53 assert (zenon_L1414_ : ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp10)) -> (~(c0_1 (a1))) -> (c3_1 (a1)) -> (~(c2_1 (a1))) -> (~(hskp15)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> ((hskp25)\/((hskp17)\/(hskp21))) -> (~(hskp17)) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> (c0_1 (a8)) -> (~(c2_1 (a8))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> False). % 1.41/1.53 do 0 intro. intros zenon_H17a zenon_H177 zenon_H166 zenon_H43 zenon_H2d zenon_H2fb zenon_H304 zenon_H2fd zenon_H146 zenon_H149 zenon_H130 zenon_H9 zenon_H254 zenon_H255 zenon_H256 zenon_H14a zenon_H167 zenon_H93 zenon_H91 zenon_Hfc zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_H228 zenon_H21f zenon_H12a zenon_H17b. % 1.41/1.53 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H128 | zenon_intro zenon_H17c ]. % 1.41/1.53 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.41/1.53 apply (zenon_L1241_); trivial. % 1.41/1.53 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1a. zenon_intro zenon_H178. % 1.41/1.53 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H16a. zenon_intro zenon_H179. % 1.41/1.53 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H171. zenon_intro zenon_H168. % 1.41/1.53 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H12e | zenon_intro zenon_H161 ]. % 1.41/1.53 apply (zenon_L808_); trivial. % 1.41/1.53 apply (zenon_L1240_); trivial. % 1.41/1.53 apply (zenon_L1244_); trivial. % 1.41/1.53 (* end of lemma zenon_L1414_ *) % 1.41/1.53 assert (zenon_L1415_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> (~(c3_1 (a22))) -> (~(c2_1 (a22))) -> (~(c0_1 (a22))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> (~(c2_1 (a8))) -> (c0_1 (a8)) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(hskp11)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (~(c2_1 (a6))) -> ((hskp25)\/((hskp17)\/(hskp21))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (~(hskp15)) -> (~(c2_1 (a1))) -> (c3_1 (a1)) -> (~(c0_1 (a1))) -> (~(hskp10)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> False). % 1.41/1.53 do 0 intro. intros zenon_H9c zenon_H1ee zenon_H81 zenon_H89 zenon_H80 zenon_H17b zenon_H12a zenon_H21f zenon_H228 zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_Hfc zenon_H91 zenon_H93 zenon_H167 zenon_H14a zenon_H256 zenon_H255 zenon_H254 zenon_H130 zenon_H149 zenon_H146 zenon_H2fd zenon_H304 zenon_H2fb zenon_H2d zenon_H43 zenon_H166 zenon_H177 zenon_H17a. % 1.41/1.53 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.41/1.53 apply (zenon_L1414_); trivial. % 1.41/1.53 apply (zenon_L1262_); trivial. % 1.41/1.53 (* end of lemma zenon_L1415_ *) % 1.41/1.53 assert (zenon_L1416_ : ((~(hskp13))\/((ndr1_0)/\((~(c0_1 (a22)))/\((~(c2_1 (a22)))/\(~(c3_1 (a22))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(~(c3_1 (a25))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> (c1_1 (a8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((hskp9)\/(hskp24))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> (~(hskp1)) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp10)) -> (~(c0_1 (a1))) -> (c3_1 (a1)) -> (~(c2_1 (a1))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> ((hskp25)\/((hskp17)\/(hskp21))) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> (c0_1 (a8)) -> (~(c2_1 (a8))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> (~(hskp7)) -> (~(hskp9)) -> ((hskp7)\/((hskp9)\/(hskp13))) -> False). % 1.41/1.53 do 0 intro. intros zenon_H287 zenon_H1a2 zenon_H48 zenon_H1c1 zenon_H220 zenon_H1c6 zenon_H7b zenon_H1f0 zenon_H1c2 zenon_H1da zenon_H162 zenon_Hde zenon_H17a zenon_H177 zenon_H166 zenon_H43 zenon_H2d zenon_H2fb zenon_H304 zenon_H2fd zenon_H149 zenon_H130 zenon_H254 zenon_H255 zenon_H256 zenon_H14a zenon_H167 zenon_H93 zenon_H91 zenon_Hfc zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_H228 zenon_H21f zenon_H12a zenon_H17b zenon_H1ee zenon_H9c zenon_H1 zenon_H3 zenon_H7. % 1.41/1.53 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H5 | zenon_intro zenon_H284 ]. % 1.41/1.53 apply (zenon_L4_); trivial. % 1.41/1.53 apply (zenon_and_s _ _ zenon_H284). zenon_intro zenon_H1a. zenon_intro zenon_H285. % 1.41/1.53 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_H80. zenon_intro zenon_H286. % 1.41/1.53 apply (zenon_and_s _ _ zenon_H286). zenon_intro zenon_H89. zenon_intro zenon_H81. % 1.41/1.53 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H146 | zenon_intro zenon_H19f ]. % 1.41/1.53 apply (zenon_L1415_); trivial. % 1.41/1.53 apply (zenon_L991_); trivial. % 1.41/1.53 (* end of lemma zenon_L1416_ *) % 1.41/1.53 assert (zenon_L1417_ : ((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c3_1 W)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp19)) -> (~(c3_1 (a18))) -> (c2_1 (a18)) -> (c0_1 (a18)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(c3_1 (a22))) -> (~(c2_1 (a22))) -> (~(c0_1 (a22))) -> (~(c0_1 (a1))) -> (~(c2_1 (a1))) -> (c3_1 (a1)) -> False). % 1.41/1.53 do 0 intro. intros zenon_H1be zenon_H277 zenon_H14a zenon_H144 zenon_Hc1 zenon_Hc2 zenon_He0 zenon_Hd3 zenon_H81 zenon_H89 zenon_H80 zenon_H2fb zenon_H2fd zenon_H304. % 1.41/1.53 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H1a. zenon_intro zenon_H1bf. % 1.41/1.53 apply (zenon_and_s _ _ zenon_H1bf). zenon_intro zenon_H1b5. zenon_intro zenon_H1c0. % 1.41/1.53 apply (zenon_and_s _ _ zenon_H1c0). zenon_intro zenon_H1b6. zenon_intro zenon_H1b7. % 1.41/1.53 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H4b | zenon_intro zenon_H278 ]. % 1.41/1.53 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_Had | zenon_intro zenon_Hcd ]. % 1.41/1.53 apply (zenon_L1154_); trivial. % 1.41/1.53 apply (zenon_L133_); trivial. % 1.41/1.53 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H1e7 | zenon_intro zenon_H69 ]. % 1.41/1.53 apply (zenon_L221_); trivial. % 1.41/1.53 apply (zenon_L1151_); trivial. % 1.41/1.53 (* end of lemma zenon_L1417_ *) % 1.41/1.53 assert (zenon_L1418_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c3_1 W)))))))) -> (~(c3_1 (a22))) -> (~(c2_1 (a22))) -> (~(c0_1 (a22))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp19)) -> (c3_1 (a1)) -> (~(c0_1 (a1))) -> (~(c2_1 (a1))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (ndr1_0) -> (~(c3_1 (a18))) -> (c0_1 (a18)) -> (c2_1 (a18)) -> (~(hskp20)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> False). % 1.41/1.53 do 0 intro. intros zenon_H1c1 zenon_H277 zenon_H81 zenon_H89 zenon_H80 zenon_H14a zenon_H144 zenon_H304 zenon_H2fb zenon_H2fd zenon_Hd3 zenon_H1a zenon_Hc1 zenon_He0 zenon_Hc2 zenon_H1c4 zenon_H1c6. % 1.41/1.53 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1be ]. % 1.41/1.53 apply (zenon_L197_); trivial. % 1.41/1.53 apply (zenon_L1417_); trivial. % 1.41/1.53 (* end of lemma zenon_L1418_ *) % 1.41/1.53 assert (zenon_L1419_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp11)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c3_1 W)))))))) -> (~(c3_1 (a22))) -> (~(c2_1 (a22))) -> (~(c0_1 (a22))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c3_1 (a1)) -> (~(c0_1 (a1))) -> (~(c2_1 (a1))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (ndr1_0) -> (~(c3_1 (a18))) -> (c0_1 (a18)) -> (c2_1 (a18)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (~(c2_1 (a6))) -> (~(hskp17)) -> ((hskp25)\/((hskp17)\/(hskp21))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> False). % 1.41/1.53 do 0 intro. intros zenon_H17b zenon_H93 zenon_H91 zenon_H1c1 zenon_H277 zenon_H81 zenon_H89 zenon_H80 zenon_H14a zenon_H304 zenon_H2fb zenon_H2fd zenon_Hd3 zenon_H1a zenon_Hc1 zenon_He0 zenon_Hc2 zenon_H1c6 zenon_H167 zenon_H256 zenon_H255 zenon_H254 zenon_H9 zenon_H130 zenon_H95 zenon_H166 zenon_H1da. % 1.41/1.53 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.41/1.53 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.41/1.53 apply (zenon_L1418_); trivial. % 1.41/1.53 apply (zenon_L391_); trivial. % 1.41/1.53 apply (zenon_L153_); trivial. % 1.41/1.53 (* end of lemma zenon_L1419_ *) % 1.41/1.53 assert (zenon_L1420_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> (~(c3_1 (a22))) -> (~(c2_1 (a22))) -> (~(c0_1 (a22))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp19)) -> (~(c3_1 (a18))) -> (c2_1 (a18)) -> (c0_1 (a18)) -> (c3_1 (a1)) -> (~(c0_1 (a1))) -> (~(c2_1 (a1))) -> (~(c1_1 (a31))) -> (c0_1 (a31)) -> (c2_1 (a31)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (ndr1_0) -> (~(c0_1 (a37))) -> (~(c3_1 (a37))) -> (~(hskp25)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c3_1 W)))))))) -> False). % 1.41/1.53 do 0 intro. intros zenon_H1c1 zenon_H81 zenon_H89 zenon_H80 zenon_H1ee zenon_H14a zenon_H144 zenon_Hc1 zenon_Hc2 zenon_He0 zenon_H304 zenon_H2fb zenon_H2fd zenon_H32 zenon_H3c zenon_H33 zenon_Hd3 zenon_H1a zenon_H1ce zenon_H1cf zenon_H12c zenon_H1c2 zenon_H277. % 1.41/1.53 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1be ]. % 1.41/1.53 apply (zenon_L1163_); trivial. % 1.41/1.53 apply (zenon_L1417_); trivial. % 1.41/1.53 (* end of lemma zenon_L1420_ *) % 1.41/1.53 assert (zenon_L1421_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> (c2_1 (a31)) -> (c0_1 (a31)) -> (~(c1_1 (a31))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> (c2_1 (a18)) -> (c0_1 (a18)) -> (~(c3_1 (a18))) -> (ndr1_0) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(c2_1 (a1))) -> (~(c0_1 (a1))) -> (c3_1 (a1)) -> (~(hskp19)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(c0_1 (a22))) -> (~(c2_1 (a22))) -> (~(c3_1 (a22))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c3_1 W)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> False). % 1.41/1.53 do 0 intro. intros zenon_H1da zenon_H167 zenon_H1f0 zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_H1c2 zenon_H33 zenon_H3c zenon_H32 zenon_H1ee zenon_H1c6 zenon_Hc2 zenon_He0 zenon_Hc1 zenon_H1a zenon_Hd3 zenon_H2fd zenon_H2fb zenon_H304 zenon_H144 zenon_H14a zenon_H80 zenon_H89 zenon_H81 zenon_H277 zenon_H1c1. % 1.41/1.53 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.41/1.53 apply (zenon_L1418_); trivial. % 1.41/1.53 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H1a. zenon_intro zenon_H1d8. % 1.41/1.53 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1d0. zenon_intro zenon_H1d9. % 1.41/1.53 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1ce. zenon_intro zenon_H1cf. % 1.41/1.53 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H12c | zenon_intro zenon_H148 ]. % 1.41/1.53 apply (zenon_L1420_); trivial. % 1.41/1.53 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H1a. zenon_intro zenon_H14b. % 1.41/1.53 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H13b. zenon_intro zenon_H14c. % 1.41/1.53 apply (zenon_and_s _ _ zenon_H14c). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 1.41/1.53 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H4b | zenon_intro zenon_H278 ]. % 1.41/1.53 apply (zenon_or_s _ _ zenon_H1ee); [ zenon_intro zenon_H1e7 | zenon_intro zenon_H1ef ]. % 1.41/1.53 apply (zenon_L751_); trivial. % 1.41/1.53 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H3b | zenon_intro zenon_H6d ]. % 1.41/1.53 apply (zenon_L1155_); trivial. % 1.41/1.53 apply (zenon_L1150_); trivial. % 1.41/1.53 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H1e7 | zenon_intro zenon_H69 ]. % 1.41/1.53 apply (zenon_L751_); trivial. % 1.41/1.53 apply (zenon_L1151_); trivial. % 1.41/1.53 (* end of lemma zenon_L1421_ *) % 1.41/1.53 assert (zenon_L1422_ : ((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp11)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c3_1 W)))))))) -> (~(c3_1 (a22))) -> (~(c2_1 (a22))) -> (~(c0_1 (a22))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c3_1 (a1)) -> (~(c0_1 (a1))) -> (~(c2_1 (a1))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(c3_1 (a18))) -> (c0_1 (a18)) -> (c2_1 (a18)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> False). % 1.41/1.53 do 0 intro. intros zenon_H9e zenon_H17b zenon_H93 zenon_H91 zenon_H1c1 zenon_H277 zenon_H81 zenon_H89 zenon_H80 zenon_H14a zenon_H304 zenon_H2fb zenon_H2fd zenon_Hd3 zenon_Hc1 zenon_He0 zenon_Hc2 zenon_H1c6 zenon_H1ee zenon_H1c2 zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_H1f0 zenon_H167 zenon_H1da. % 1.41/1.53 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.41/1.53 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.41/1.53 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.41/1.53 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.41/1.53 apply (zenon_L1421_); trivial. % 1.41/1.53 apply (zenon_L153_); trivial. % 1.41/1.53 (* end of lemma zenon_L1422_ *) % 1.41/1.53 assert (zenon_L1423_ : ((ndr1_0)/\((~(c0_1 (a22)))/\((~(c2_1 (a22)))/\(~(c3_1 (a22)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((hskp25)\/((hskp17)\/(hskp21))) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> (c2_1 (a18)) -> (c0_1 (a18)) -> (~(c3_1 (a18))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(c2_1 (a1))) -> (~(c0_1 (a1))) -> (c3_1 (a1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c3_1 W)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> (~(hskp11)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> False). % 1.41/1.53 do 0 intro. intros zenon_H284 zenon_H9c zenon_H1ee zenon_H1c2 zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_H1f0 zenon_H1da zenon_H166 zenon_H95 zenon_H130 zenon_H254 zenon_H255 zenon_H256 zenon_H167 zenon_H1c6 zenon_Hc2 zenon_He0 zenon_Hc1 zenon_Hd3 zenon_H2fd zenon_H2fb zenon_H304 zenon_H14a zenon_H277 zenon_H1c1 zenon_H91 zenon_H93 zenon_H17b. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H284). zenon_intro zenon_H1a. zenon_intro zenon_H285. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_H80. zenon_intro zenon_H286. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H286). zenon_intro zenon_H89. zenon_intro zenon_H81. % 1.41/1.54 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.41/1.54 apply (zenon_L1419_); trivial. % 1.41/1.54 apply (zenon_L1422_); trivial. % 1.41/1.54 (* end of lemma zenon_L1423_ *) % 1.41/1.54 assert (zenon_L1424_ : ((~(hskp10))\/((ndr1_0)/\((c0_1 (a18))/\((c2_1 (a18))/\(~(c3_1 (a18))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c3_1 W)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c0_1 (a22)))/\((~(c2_1 (a22)))/\(~(c3_1 (a22))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(~(c3_1 (a25))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> (c1_1 (a8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((hskp9)\/(hskp24))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> (~(hskp1)) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(c0_1 (a1))) -> (c3_1 (a1)) -> (~(c2_1 (a1))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> ((hskp25)\/((hskp17)\/(hskp21))) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> (c0_1 (a8)) -> (~(c2_1 (a8))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> (~(hskp7)) -> (~(hskp9)) -> ((hskp7)\/((hskp9)\/(hskp13))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(hskp7)) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a19))/\((~(c1_1 (a19)))/\(~(c3_1 (a19))))))) -> False). % 1.41/1.54 do 0 intro. intros zenon_H212 zenon_H277 zenon_Hd3 zenon_H95 zenon_H287 zenon_H1a2 zenon_H48 zenon_H1c1 zenon_H220 zenon_H1c6 zenon_H7b zenon_H1f0 zenon_H1c2 zenon_H1da zenon_H162 zenon_Hde zenon_H17a zenon_H177 zenon_H166 zenon_H43 zenon_H2fb zenon_H304 zenon_H2fd zenon_H149 zenon_H130 zenon_H254 zenon_H255 zenon_H256 zenon_H14a zenon_H167 zenon_H93 zenon_Hfc zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_H228 zenon_H21f zenon_H12a zenon_H17b zenon_H1ee zenon_H9c zenon_H1 zenon_H3 zenon_H7 zenon_Hb7 zenon_H213. % 1.41/1.54 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H2d | zenon_intro zenon_H217 ]. % 1.41/1.54 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H91 | zenon_intro zenon_He5 ]. % 1.41/1.54 apply (zenon_L1416_); trivial. % 1.41/1.54 apply (zenon_L62_); trivial. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H1a. zenon_intro zenon_H218. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_He0. zenon_intro zenon_H219. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_Hc2. zenon_intro zenon_Hc1. % 1.41/1.54 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H91 | zenon_intro zenon_He5 ]. % 1.41/1.54 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H5 | zenon_intro zenon_H284 ]. % 1.41/1.54 apply (zenon_L4_); trivial. % 1.41/1.54 apply (zenon_L1423_); trivial. % 1.41/1.54 apply (zenon_L1409_); trivial. % 1.41/1.54 (* end of lemma zenon_L1424_ *) % 1.41/1.54 assert (zenon_L1425_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(~(c3_1 (a25))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> (~(hskp1)) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp10)) -> (~(c0_1 (a1))) -> (c3_1 (a1)) -> (~(c2_1 (a1))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> ((hskp25)\/((hskp17)\/(hskp21))) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> (c0_1 (a8)) -> (~(c2_1 (a8))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (~(c2_1 (a16))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> False). % 1.41/1.54 do 0 intro. intros zenon_H1a2 zenon_H162 zenon_Hde zenon_H17a zenon_H177 zenon_H166 zenon_H43 zenon_H2d zenon_H2fb zenon_H304 zenon_H2fd zenon_H149 zenon_H130 zenon_H254 zenon_H255 zenon_H256 zenon_H14a zenon_H167 zenon_H93 zenon_H91 zenon_Hfc zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_H228 zenon_H21f zenon_H12a zenon_H17b zenon_H1da zenon_H1ee zenon_H1c2 zenon_H1c6 zenon_Heb zenon_Hea zenon_He9 zenon_H1c1 zenon_H9c. % 1.41/1.54 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H146 | zenon_intro zenon_H19f ]. % 1.41/1.54 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.41/1.54 apply (zenon_L1414_); trivial. % 1.41/1.54 apply (zenon_L944_); trivial. % 1.41/1.54 apply (zenon_L1405_); trivial. % 1.41/1.54 (* end of lemma zenon_L1425_ *) % 1.41/1.54 assert (zenon_L1426_ : ((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> (c0_1 (a14)) -> (~(c2_1 (a14))) -> (c3_1 (a14)) -> (~(hskp19)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (~(hskp15)) -> (~(c2_1 (a1))) -> (c3_1 (a1)) -> (~(c0_1 (a1))) -> (~(c1_1 (a31))) -> (c2_1 (a31)) -> (c0_1 (a31)) -> (~(hskp10)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> (~(hskp9)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((hskp9)\/(hskp24))) -> False). % 1.41/1.54 do 0 intro. intros zenon_H1d7 zenon_H48 zenon_H167 zenon_H120 zenon_H11f zenon_H121 zenon_H144 zenon_H14a zenon_H1ee zenon_H149 zenon_H146 zenon_H2fd zenon_H304 zenon_H2fb zenon_H32 zenon_H33 zenon_H3c zenon_H2d zenon_H43 zenon_H1c2 zenon_H1f0 zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_H1c1 zenon_H254 zenon_H255 zenon_H256 zenon_H3 zenon_H7b. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H1a. zenon_intro zenon_H1d8. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1d0. zenon_intro zenon_H1d9. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1ce. zenon_intro zenon_H1cf. % 1.41/1.54 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H11 | zenon_intro zenon_H41 ]. % 1.41/1.54 apply (zenon_L329_); trivial. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H1a. zenon_intro zenon_H44. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H1d. zenon_intro zenon_H45. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H1e. zenon_intro zenon_H1f. % 1.41/1.54 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H12c | zenon_intro zenon_H148 ]. % 1.41/1.54 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1be ]. % 1.41/1.54 apply (zenon_L1258_); trivial. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H1a. zenon_intro zenon_H1bf. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H1bf). zenon_intro zenon_H1b5. zenon_intro zenon_H1c0. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H1c0). zenon_intro zenon_H1b6. zenon_intro zenon_H1b7. % 1.41/1.54 apply (zenon_or_s _ _ zenon_H1ee); [ zenon_intro zenon_H1e7 | zenon_intro zenon_H1ef ]. % 1.41/1.54 apply (zenon_L948_); trivial. % 1.41/1.54 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H3b | zenon_intro zenon_H6d ]. % 1.41/1.54 apply (zenon_L1257_); trivial. % 1.41/1.54 apply (zenon_L318_); trivial. % 1.41/1.54 apply (zenon_L86_); trivial. % 1.41/1.54 (* end of lemma zenon_L1426_ *) % 1.41/1.54 assert (zenon_L1427_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/(hskp13))) -> (~(hskp13)) -> (~(hskp11)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> (~(hskp9)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((hskp9)\/(hskp24))) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> (c3_1 (a14)) -> (c0_1 (a14)) -> (~(c2_1 (a14))) -> (ndr1_0) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp10)) -> (~(c0_1 (a1))) -> (c3_1 (a1)) -> (~(c2_1 (a1))) -> (~(hskp15)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> ((hskp25)\/((hskp17)\/(hskp21))) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> False). % 1.41/1.54 do 0 intro. intros zenon_H9c zenon_H48 zenon_H1c1 zenon_H247 zenon_H5 zenon_H91 zenon_H93 zenon_H1c6 zenon_H3 zenon_H7b zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_H1f0 zenon_H1c2 zenon_H1ee zenon_H1da zenon_H12a zenon_H121 zenon_H120 zenon_H11f zenon_H1a zenon_H166 zenon_H43 zenon_H2d zenon_H2fb zenon_H304 zenon_H2fd zenon_H146 zenon_H149 zenon_H130 zenon_H254 zenon_H255 zenon_H256 zenon_H14a zenon_H167 zenon_H177 zenon_H17b zenon_H17a. % 1.41/1.54 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.41/1.54 apply (zenon_L1289_); trivial. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.41/1.54 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.41/1.54 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.41/1.54 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.41/1.54 apply (zenon_L1282_); trivial. % 1.41/1.54 apply (zenon_L1426_); trivial. % 1.41/1.54 apply (zenon_L1294_); trivial. % 1.41/1.54 (* end of lemma zenon_L1427_ *) % 1.41/1.54 assert (zenon_L1428_ : ((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(~(c3_1 (a25)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> (c0_1 (a8)) -> (c1_1 (a8)) -> (~(c2_1 (a8))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> (~(hskp10)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp9)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((hskp9)\/(hskp24))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> (c3_1 (a14)) -> (c0_1 (a14)) -> (~(c2_1 (a14))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> (~(hskp1)) -> ((hskp25)\/((hskp17)\/(hskp21))) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp11)) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> False). % 1.41/1.54 do 0 intro. intros zenon_H19f zenon_H9c zenon_H48 zenon_H1c1 zenon_H228 zenon_H220 zenon_H21f zenon_H1c6 zenon_H2d zenon_H43 zenon_H3 zenon_H7b zenon_H1f0 zenon_H1c2 zenon_H1ee zenon_H1da zenon_H12a zenon_H121 zenon_H120 zenon_H11f zenon_H166 zenon_H162 zenon_Hde zenon_H130 zenon_H254 zenon_H255 zenon_H256 zenon_H14a zenon_H167 zenon_H93 zenon_H91 zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_Hfc zenon_H17b zenon_H17a. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H1a. zenon_intro zenon_H1a0. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H18f. zenon_intro zenon_H1a1. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H19a. zenon_intro zenon_H18e. % 1.41/1.54 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.41/1.54 apply (zenon_L954_); trivial. % 1.41/1.54 apply (zenon_L990_); trivial. % 1.41/1.54 (* end of lemma zenon_L1428_ *) % 1.41/1.54 assert (zenon_L1429_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(~(c3_1 (a25))))))) -> (c0_1 (a8)) -> (c1_1 (a8)) -> (~(c2_1 (a8))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (~(c2_1 (a6))) -> ((hskp25)\/((hskp17)\/(hskp21))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (~(c2_1 (a1))) -> (c3_1 (a1)) -> (~(c0_1 (a1))) -> (~(hskp10)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> (ndr1_0) -> (~(c2_1 (a14))) -> (c0_1 (a14)) -> (c3_1 (a14)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((hskp9)\/(hskp24))) -> (~(hskp9)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp11)) -> (~(hskp13)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/(hskp13))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> False). % 1.41/1.54 do 0 intro. intros zenon_H1a2 zenon_H228 zenon_H220 zenon_H21f zenon_H162 zenon_Hde zenon_Hfc zenon_H17a zenon_H17b zenon_H177 zenon_H167 zenon_H14a zenon_H256 zenon_H255 zenon_H254 zenon_H130 zenon_H149 zenon_H2fd zenon_H304 zenon_H2fb zenon_H2d zenon_H43 zenon_H166 zenon_H1a zenon_H11f zenon_H120 zenon_H121 zenon_H12a zenon_H1da zenon_H1ee zenon_H1c2 zenon_H1f0 zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_H7b zenon_H3 zenon_H1c6 zenon_H93 zenon_H91 zenon_H5 zenon_H247 zenon_H1c1 zenon_H48 zenon_H9c. % 1.41/1.54 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H146 | zenon_intro zenon_H19f ]. % 1.41/1.54 apply (zenon_L1427_); trivial. % 1.41/1.54 apply (zenon_L1428_); trivial. % 1.41/1.54 (* end of lemma zenon_L1429_ *) % 1.41/1.54 assert (zenon_L1430_ : ((ndr1_0)/\((~(c0_1 (a22)))/\((~(c2_1 (a22)))/\(~(c3_1 (a22)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(~(c3_1 (a25))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((hskp9)\/(hskp24))) -> (~(hskp9)) -> (c1_1 (a8)) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> (c3_1 (a14)) -> (c0_1 (a14)) -> (~(c2_1 (a14))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> (~(hskp1)) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp10)) -> (~(c0_1 (a1))) -> (c3_1 (a1)) -> (~(c2_1 (a1))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> ((hskp25)\/((hskp17)\/(hskp21))) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> (c0_1 (a8)) -> (~(c2_1 (a8))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> False). % 1.41/1.54 do 0 intro. intros zenon_H284 zenon_H1a2 zenon_H7b zenon_H3 zenon_H220 zenon_H48 zenon_H121 zenon_H120 zenon_H11f zenon_H162 zenon_Hde zenon_H17a zenon_H177 zenon_H166 zenon_H43 zenon_H2d zenon_H2fb zenon_H304 zenon_H2fd zenon_H149 zenon_H130 zenon_H254 zenon_H255 zenon_H256 zenon_H14a zenon_H167 zenon_H93 zenon_H91 zenon_Hfc zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_H228 zenon_H21f zenon_H12a zenon_H17b zenon_H1ee zenon_H9c. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H284). zenon_intro zenon_H1a. zenon_intro zenon_H285. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_H80. zenon_intro zenon_H286. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H286). zenon_intro zenon_H89. zenon_intro zenon_H81. % 1.41/1.54 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H146 | zenon_intro zenon_H19f ]. % 1.41/1.54 apply (zenon_L1415_); trivial. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H1a. zenon_intro zenon_H1a0. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H18f. zenon_intro zenon_H1a1. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H19a. zenon_intro zenon_H18e. % 1.41/1.54 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.41/1.54 apply (zenon_L954_); trivial. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.41/1.54 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.41/1.54 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.41/1.54 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H11 | zenon_intro zenon_H41 ]. % 1.41/1.54 apply (zenon_L329_); trivial. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H1a. zenon_intro zenon_H44. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H1d. zenon_intro zenon_H45. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H1e. zenon_intro zenon_H1f. % 1.41/1.54 apply (zenon_or_s _ _ zenon_H1ee); [ zenon_intro zenon_H1e7 | zenon_intro zenon_H1ef ]. % 1.41/1.54 apply (zenon_L221_); trivial. % 1.41/1.54 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H3b | zenon_intro zenon_H6d ]. % 1.41/1.54 apply (zenon_L988_); trivial. % 1.41/1.54 apply (zenon_L318_); trivial. % 1.41/1.54 apply (zenon_L814_); trivial. % 1.41/1.54 (* end of lemma zenon_L1430_ *) % 1.41/1.54 assert (zenon_L1431_ : ((~(hskp13))\/((ndr1_0)/\((~(c0_1 (a22)))/\((~(c2_1 (a22)))/\(~(c3_1 (a22))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/(hskp13))) -> (~(hskp11)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> (~(hskp9)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((hskp9)\/(hskp24))) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> (c3_1 (a14)) -> (c0_1 (a14)) -> (~(c2_1 (a14))) -> (ndr1_0) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp10)) -> (~(c0_1 (a1))) -> (c3_1 (a1)) -> (~(c2_1 (a1))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> ((hskp25)\/((hskp17)\/(hskp21))) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(hskp1)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> (~(c2_1 (a8))) -> (c1_1 (a8)) -> (c0_1 (a8)) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(~(c3_1 (a25))))))) -> False). % 1.41/1.54 do 0 intro. intros zenon_H287 zenon_H9c zenon_H48 zenon_H1c1 zenon_H247 zenon_H91 zenon_H93 zenon_H1c6 zenon_H3 zenon_H7b zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_H1f0 zenon_H1c2 zenon_H1ee zenon_H1da zenon_H12a zenon_H121 zenon_H120 zenon_H11f zenon_H1a zenon_H166 zenon_H43 zenon_H2d zenon_H2fb zenon_H304 zenon_H2fd zenon_H149 zenon_H130 zenon_H254 zenon_H255 zenon_H256 zenon_H14a zenon_H167 zenon_H177 zenon_H17b zenon_H17a zenon_Hfc zenon_Hde zenon_H162 zenon_H21f zenon_H220 zenon_H228 zenon_H1a2. % 1.41/1.54 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H5 | zenon_intro zenon_H284 ]. % 1.41/1.54 apply (zenon_L1429_); trivial. % 1.41/1.54 apply (zenon_L1430_); trivial. % 1.41/1.54 (* end of lemma zenon_L1431_ *) % 1.41/1.54 assert (zenon_L1432_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> (~(c2_1 (a1))) -> (c3_1 (a1)) -> (~(c0_1 (a1))) -> (~(c1_1 (a31))) -> (c2_1 (a31)) -> (c0_1 (a31)) -> (~(hskp10)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> (~(hskp9)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((hskp9)\/(hskp24))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> (c2_1 (a19)) -> (~(c1_1 (a19))) -> (~(c3_1 (a19))) -> (ndr1_0) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp19)) -> (c3_1 (a14)) -> (~(c2_1 (a14))) -> (c0_1 (a14)) -> (~(hskp15)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> False). % 1.41/1.54 do 0 intro. intros zenon_H1da zenon_H48 zenon_H1ee zenon_H2fd zenon_H304 zenon_H2fb zenon_H32 zenon_H33 zenon_H3c zenon_H2d zenon_H43 zenon_H1f0 zenon_H254 zenon_H255 zenon_H256 zenon_H3 zenon_H7b zenon_H1c1 zenon_Hd3 zenon_H1c6 zenon_Hb0 zenon_Hae zenon_Haf zenon_H1a zenon_H1c2 zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_H1e0 zenon_H14a zenon_H144 zenon_H121 zenon_H11f zenon_H120 zenon_H146 zenon_H149 zenon_H167. % 1.41/1.54 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.41/1.54 apply (zenon_L960_); trivial. % 1.41/1.54 apply (zenon_L1426_); trivial. % 1.41/1.54 (* end of lemma zenon_L1432_ *) % 1.41/1.54 assert (zenon_L1433_ : ((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (~(c2_1 (a6))) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c3_1 W)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> (c2_1 (a19)) -> (~(c3_1 (a19))) -> (~(c1_1 (a19))) -> (~(c2_1 (a1))) -> (~(c0_1 (a1))) -> (c3_1 (a1)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> False). % 1.41/1.54 do 0 intro. intros zenon_H1d7 zenon_H167 zenon_H256 zenon_H255 zenon_H254 zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_H1f0 zenon_H277 zenon_H1c2 zenon_Hb0 zenon_Haf zenon_Hae zenon_H2fd zenon_H2fb zenon_H304 zenon_H1ee zenon_Hd3 zenon_H1c1. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H1a. zenon_intro zenon_H1d8. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1d0. zenon_intro zenon_H1d9. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1ce. zenon_intro zenon_H1cf. % 1.41/1.54 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H12c | zenon_intro zenon_H148 ]. % 1.41/1.54 apply (zenon_L1185_); trivial. % 1.41/1.54 apply (zenon_L935_); trivial. % 1.41/1.54 (* end of lemma zenon_L1433_ *) % 1.41/1.54 assert (zenon_L1434_ : ((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(~(c3_1 (a25)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (~(c2_1 (a6))) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c3_1 W)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> (~(c2_1 (a1))) -> (~(c0_1 (a1))) -> (c3_1 (a1)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> (c2_1 (a19)) -> (~(c1_1 (a19))) -> (~(c3_1 (a19))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp24))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> False). % 1.41/1.54 do 0 intro. intros zenon_H19f zenon_H1da zenon_H167 zenon_H256 zenon_H255 zenon_H254 zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_H1f0 zenon_H277 zenon_H1c2 zenon_H2fd zenon_H2fb zenon_H304 zenon_H1ee zenon_H1c1 zenon_Hd3 zenon_H1c6 zenon_Hb0 zenon_Hae zenon_Haf zenon_H1f8 zenon_H177 zenon_H48. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H1a. zenon_intro zenon_H1a0. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H18f. zenon_intro zenon_H1a1. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H19a. zenon_intro zenon_H18e. % 1.41/1.54 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.41/1.54 apply (zenon_L661_); trivial. % 1.41/1.54 apply (zenon_L1433_); trivial. % 1.41/1.54 (* end of lemma zenon_L1434_ *) % 1.41/1.54 assert (zenon_L1435_ : ((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (~(hskp15)) -> (c0_1 (a14)) -> (~(c2_1 (a14))) -> (c3_1 (a14)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c3_1 W)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (c2_1 (a31)) -> (c0_1 (a31)) -> (~(c1_1 (a31))) -> (~(c2_1 (a1))) -> (~(c0_1 (a1))) -> (c3_1 (a1)) -> (c0_1 (a18)) -> (c2_1 (a18)) -> (~(c3_1 (a18))) -> (~(hskp19)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> (~(c2_1 (a8))) -> (c1_1 (a8)) -> (c0_1 (a8)) -> (~(hskp11)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> (~(hskp9)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((hskp9)\/(hskp24))) -> False). % 1.41/1.54 do 0 intro. intros zenon_H1d7 zenon_H48 zenon_H167 zenon_H149 zenon_H146 zenon_H120 zenon_H11f zenon_H121 zenon_H277 zenon_H1c2 zenon_Hd3 zenon_H33 zenon_H3c zenon_H32 zenon_H2fd zenon_H2fb zenon_H304 zenon_He0 zenon_Hc2 zenon_Hc1 zenon_H144 zenon_H14a zenon_H1ee zenon_Hfc zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_H21f zenon_H220 zenon_H228 zenon_H91 zenon_H93 zenon_H1c1 zenon_H254 zenon_H255 zenon_H256 zenon_H3 zenon_H7b. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H1a. zenon_intro zenon_H1d8. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1d0. zenon_intro zenon_H1d9. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1ce. zenon_intro zenon_H1cf. % 1.41/1.54 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H11 | zenon_intro zenon_H41 ]. % 1.41/1.54 apply (zenon_L329_); trivial. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H1a. zenon_intro zenon_H44. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H1d. zenon_intro zenon_H45. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H1e. zenon_intro zenon_H1f. % 1.41/1.54 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H12c | zenon_intro zenon_H148 ]. % 1.41/1.54 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1be ]. % 1.41/1.54 apply (zenon_L1163_); trivial. % 1.41/1.54 apply (zenon_L820_); trivial. % 1.41/1.54 apply (zenon_L86_); trivial. % 1.41/1.54 (* end of lemma zenon_L1435_ *) % 1.41/1.54 assert (zenon_L1436_ : ((ndr1_0)/\((c0_1 (a18))/\((c2_1 (a18))/\(~(c3_1 (a18)))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a19))/\((~(c1_1 (a19)))/\(~(c3_1 (a19))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((hskp9)\/(hskp24))) -> (~(hskp9)) -> (c0_1 (a8)) -> (c1_1 (a8)) -> (~(c2_1 (a8))) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> (c3_1 (a1)) -> (~(c0_1 (a1))) -> (~(c2_1 (a1))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c3_1 W)))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> (c3_1 (a14)) -> (c0_1 (a14)) -> (~(c2_1 (a14))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> (~(hskp1)) -> ((hskp25)\/((hskp17)\/(hskp21))) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(~(c3_1 (a25))))))) -> False). % 1.41/1.54 do 0 intro. intros zenon_H217 zenon_H213 zenon_H1f0 zenon_H9c zenon_H48 zenon_H93 zenon_H1c6 zenon_H7b zenon_H3 zenon_H228 zenon_H220 zenon_H21f zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_Hfc zenon_H1c1 zenon_H1ee zenon_H304 zenon_H2fb zenon_H2fd zenon_Hd3 zenon_H1c2 zenon_H277 zenon_H149 zenon_H1da zenon_H12a zenon_H121 zenon_H120 zenon_H11f zenon_H166 zenon_H162 zenon_Hde zenon_H130 zenon_H254 zenon_H255 zenon_H256 zenon_H14a zenon_H167 zenon_H177 zenon_H17b zenon_H17a zenon_H1a2. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H1a. zenon_intro zenon_H218. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_He0. zenon_intro zenon_H219. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_Hc2. zenon_intro zenon_Hc1. % 1.41/1.54 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H91 | zenon_intro zenon_He5 ]. % 1.41/1.54 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H146 | zenon_intro zenon_H19f ]. % 1.41/1.54 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.41/1.54 apply (zenon_L411_); trivial. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.41/1.54 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.41/1.54 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.41/1.54 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.41/1.54 apply (zenon_L822_); trivial. % 1.41/1.54 apply (zenon_L1435_); trivial. % 1.41/1.54 apply (zenon_L153_); trivial. % 1.41/1.54 apply (zenon_L956_); trivial. % 1.41/1.54 apply (zenon_L1409_); trivial. % 1.41/1.54 (* end of lemma zenon_L1436_ *) % 1.41/1.54 assert (zenon_L1437_ : ((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(~(c3_1 (a25)))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((hskp9)\/(hskp24))) -> (~(hskp9)) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> (~(hskp11)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (~(c2_1 (a6))) -> ((hskp25)\/((hskp17)\/(hskp21))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> (~(hskp10)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> (~(hskp1)) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> False). % 1.41/1.54 do 0 intro. intros zenon_H19f zenon_H9c zenon_H7b zenon_H3 zenon_H48 zenon_H17b zenon_Hfc zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_H91 zenon_H93 zenon_H167 zenon_H14a zenon_H256 zenon_H255 zenon_H254 zenon_H130 zenon_H12a zenon_H2d zenon_H43 zenon_H166 zenon_H162 zenon_Hde zenon_H17a. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H1a. zenon_intro zenon_H1a0. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H18f. zenon_intro zenon_H1a1. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H19a. zenon_intro zenon_H18e. % 1.41/1.54 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.41/1.54 apply (zenon_L983_); trivial. % 1.41/1.54 apply (zenon_L955_); trivial. % 1.41/1.54 (* end of lemma zenon_L1437_ *) % 1.41/1.54 assert (zenon_L1438_ : ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> (~(c3_1 (a22))) -> (~(c2_1 (a22))) -> (~(c0_1 (a22))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> (c3_1 (a14)) -> (c0_1 (a14)) -> (~(c2_1 (a14))) -> (ndr1_0) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp10)) -> (~(c0_1 (a1))) -> (c3_1 (a1)) -> (~(c2_1 (a1))) -> (~(hskp15)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> ((hskp25)\/((hskp17)\/(hskp21))) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> False). % 1.41/1.54 do 0 intro. intros zenon_H9c zenon_H1ee zenon_H81 zenon_H89 zenon_H80 zenon_H12a zenon_H121 zenon_H120 zenon_H11f zenon_H1a zenon_H166 zenon_H43 zenon_H2d zenon_H2fb zenon_H304 zenon_H2fd zenon_H146 zenon_H149 zenon_H130 zenon_H254 zenon_H255 zenon_H256 zenon_H14a zenon_H167 zenon_H177 zenon_H17b zenon_H17a. % 1.41/1.54 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.41/1.54 apply (zenon_L1289_); trivial. % 1.41/1.54 apply (zenon_L1262_); trivial. % 1.41/1.54 (* end of lemma zenon_L1438_ *) % 1.41/1.54 assert (zenon_L1439_ : ((~(hskp13))\/((ndr1_0)/\((~(c0_1 (a22)))/\((~(c2_1 (a22)))/\(~(c3_1 (a22))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/(hskp13))) -> (~(hskp11)) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> (~(hskp9)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((hskp9)\/(hskp24))) -> (~(c2_1 (a4))) -> (~(c3_1 (a4))) -> (c1_1 (a4)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> (c3_1 (a14)) -> (c0_1 (a14)) -> (~(c2_1 (a14))) -> (ndr1_0) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp10)) -> (~(c0_1 (a1))) -> (c3_1 (a1)) -> (~(c2_1 (a1))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> ((hskp25)\/((hskp17)\/(hskp21))) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> (~(hskp1)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp1))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(~(c3_1 (a25))))))) -> False). % 1.41/1.54 do 0 intro. intros zenon_H287 zenon_H9c zenon_H48 zenon_H1c1 zenon_H247 zenon_H91 zenon_H93 zenon_H1c6 zenon_H3 zenon_H7b zenon_H2b9 zenon_H2ba zenon_H2c2 zenon_H1f0 zenon_H1c2 zenon_H1ee zenon_H1da zenon_H12a zenon_H121 zenon_H120 zenon_H11f zenon_H1a zenon_H166 zenon_H43 zenon_H2d zenon_H2fb zenon_H304 zenon_H2fd zenon_H149 zenon_H130 zenon_H254 zenon_H255 zenon_H256 zenon_H14a zenon_H167 zenon_H177 zenon_H17b zenon_H17a zenon_Hde zenon_H162 zenon_Hfc zenon_H1a2. % 1.41/1.54 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H5 | zenon_intro zenon_H284 ]. % 1.41/1.54 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H146 | zenon_intro zenon_H19f ]. % 1.41/1.54 apply (zenon_L1427_); trivial. % 1.41/1.54 apply (zenon_L1437_); trivial. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H284). zenon_intro zenon_H1a. zenon_intro zenon_H285. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_H80. zenon_intro zenon_H286. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H286). zenon_intro zenon_H89. zenon_intro zenon_H81. % 1.41/1.54 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H146 | zenon_intro zenon_H19f ]. % 1.41/1.54 apply (zenon_L1438_); trivial. % 1.41/1.54 apply (zenon_L1437_); trivial. % 1.41/1.54 (* end of lemma zenon_L1439_ *) % 1.41/1.54 assert (zenon_L1440_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> (c0_1 (a14)) -> (~(c2_1 (a14))) -> (c3_1 (a14)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> (~(hskp9)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((hskp9)\/(hskp24))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp10)) -> (~(c1_1 (a31))) -> (c2_1 (a31)) -> (c0_1 (a31)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> (ndr1_0) -> (~(c0_1 (a1))) -> (c3_1 (a1)) -> (~(c2_1 (a1))) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> (~(hskp15)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (c0_1 (a15)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp19)) -> (~(hskp13)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/(hskp13))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> False). % 1.41/1.54 do 0 intro. intros zenon_H1da zenon_H48 zenon_H167 zenon_H120 zenon_H11f zenon_H121 zenon_H1ee zenon_H1c2 zenon_H1f0 zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_H3 zenon_H7b zenon_H43 zenon_H2d zenon_H32 zenon_H33 zenon_H3c zenon_H1c6 zenon_H1a zenon_H2fb zenon_H304 zenon_H2fd zenon_H254 zenon_H255 zenon_H256 zenon_H146 zenon_H149 zenon_H115 zenon_H116 zenon_H117 zenon_H14a zenon_H144 zenon_H5 zenon_H247 zenon_H1c1. % 1.41/1.54 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.41/1.54 apply (zenon_L1267_); trivial. % 1.41/1.54 apply (zenon_L1426_); trivial. % 1.41/1.54 (* end of lemma zenon_L1440_ *) % 1.41/1.54 assert (zenon_L1441_ : ((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> (~(c0_1 (a22))) -> (~(c2_1 (a22))) -> (~(c3_1 (a22))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c3_1 W)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> (c2_1 (a19)) -> (~(c3_1 (a19))) -> (~(c1_1 (a19))) -> (~(c2_1 (a1))) -> (~(c0_1 (a1))) -> (c3_1 (a1)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> False). % 1.41/1.54 do 0 intro. intros zenon_H1d7 zenon_H167 zenon_H80 zenon_H89 zenon_H81 zenon_H1f0 zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_H277 zenon_H1c2 zenon_Hb0 zenon_Haf zenon_Hae zenon_H2fd zenon_H2fb zenon_H304 zenon_H1ee zenon_Hd3 zenon_H1c1. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H1a. zenon_intro zenon_H1d8. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1d0. zenon_intro zenon_H1d9. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1ce. zenon_intro zenon_H1cf. % 1.41/1.54 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H12c | zenon_intro zenon_H148 ]. % 1.41/1.54 apply (zenon_L1185_); trivial. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H1a. zenon_intro zenon_H14b. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H13b. zenon_intro zenon_H14c. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H14c). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 1.41/1.54 apply (zenon_or_s _ _ zenon_H277); [ zenon_intro zenon_H4b | zenon_intro zenon_H278 ]. % 1.41/1.54 apply (zenon_or_s _ _ zenon_H1ee); [ zenon_intro zenon_H1e7 | zenon_intro zenon_H1ef ]. % 1.41/1.54 apply (zenon_L221_); trivial. % 1.41/1.54 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H3b | zenon_intro zenon_H6d ]. % 1.41/1.54 apply (zenon_L752_); trivial. % 1.41/1.54 apply (zenon_L1150_); trivial. % 1.41/1.54 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H1e7 | zenon_intro zenon_H69 ]. % 1.41/1.54 apply (zenon_L751_); trivial. % 1.41/1.54 apply (zenon_L1151_); trivial. % 1.41/1.54 (* end of lemma zenon_L1441_ *) % 1.41/1.54 assert (zenon_L1442_ : ((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(~(c3_1 (a25)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> (~(c0_1 (a22))) -> (~(c2_1 (a22))) -> (~(c3_1 (a22))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c3_1 W)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> (~(c2_1 (a1))) -> (~(c0_1 (a1))) -> (c3_1 (a1)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> (c2_1 (a19)) -> (~(c1_1 (a19))) -> (~(c3_1 (a19))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp24))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> False). % 1.41/1.54 do 0 intro. intros zenon_H19f zenon_H1da zenon_H167 zenon_H80 zenon_H89 zenon_H81 zenon_H1f0 zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_H277 zenon_H1c2 zenon_H2fd zenon_H2fb zenon_H304 zenon_H1ee zenon_H1c1 zenon_Hd3 zenon_H1c6 zenon_Hb0 zenon_Hae zenon_Haf zenon_H1f8 zenon_H177 zenon_H48. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H1a. zenon_intro zenon_H1a0. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H18f. zenon_intro zenon_H1a1. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H19a. zenon_intro zenon_H18e. % 1.41/1.54 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.41/1.54 apply (zenon_L661_); trivial. % 1.41/1.54 apply (zenon_L1441_); trivial. % 1.41/1.54 (* end of lemma zenon_L1442_ *) % 1.41/1.54 assert (zenon_L1443_ : ((ndr1_0)/\((~(c0_1 (a22)))/\((~(c2_1 (a22)))/\(~(c3_1 (a22)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(~(c3_1 (a25))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> (c1_1 (a4)) -> (~(c3_1 (a4))) -> (~(c2_1 (a4))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c3_1 W)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> (c2_1 (a19)) -> (~(c1_1 (a19))) -> (~(c3_1 (a19))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp24))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((~(hskp18))\/((ndr1_0)/\((~(c0_1 (a32)))/\((~(c1_1 (a32)))/\(~(c3_1 (a32))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (~(c2_1 (a6))) -> ((hskp25)\/((hskp17)\/(hskp21))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (~(c2_1 (a1))) -> (c3_1 (a1)) -> (~(c0_1 (a1))) -> (~(hskp10)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> ((~(hskp21))\/((ndr1_0)/\((c2_1 (a42))/\((c3_1 (a42))/\(~(c1_1 (a42))))))) -> (~(c2_1 (a14))) -> (c0_1 (a14)) -> (c3_1 (a14)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/((hskp17)\/(hskp18))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(c3_1 V)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c1_1 X10)\/((c3_1 X10)\/(~(c0_1 X10))))))\/(forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c0_1 (a31))/\((c2_1 (a31))/\(~(c1_1 (a31))))))) -> False). % 1.41/1.54 do 0 intro. intros zenon_H284 zenon_H1a2 zenon_H1da zenon_H1f0 zenon_H2c2 zenon_H2ba zenon_H2b9 zenon_H277 zenon_H1c2 zenon_H1c1 zenon_Hd3 zenon_H1c6 zenon_Hb0 zenon_Hae zenon_Haf zenon_H1f8 zenon_H48 zenon_H17a zenon_H17b zenon_H177 zenon_H167 zenon_H14a zenon_H256 zenon_H255 zenon_H254 zenon_H130 zenon_H149 zenon_H2fd zenon_H304 zenon_H2fb zenon_H2d zenon_H43 zenon_H166 zenon_H11f zenon_H120 zenon_H121 zenon_H12a zenon_H1ee zenon_H9c. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H284). zenon_intro zenon_H1a. zenon_intro zenon_H285. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_H80. zenon_intro zenon_H286. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H286). zenon_intro zenon_H89. zenon_intro zenon_H81. % 1.41/1.54 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H146 | zenon_intro zenon_H19f ]. % 1.41/1.54 apply (zenon_L1438_); trivial. % 1.41/1.54 apply (zenon_L1442_); trivial. % 1.41/1.54 (* end of lemma zenon_L1443_ *) % 1.41/1.54 assert (zenon_L1444_ : ((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> (~(hskp19)) -> (~(c2_1 (a1))) -> (~(c0_1 (a1))) -> (c3_1 (a1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(c2_1 (a16))) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> (~(c0_1 (a2))) -> (~(c3_1 (a2))) -> (c2_1 (a2)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> (~(hskp4)) -> False). % 1.41/1.54 do 0 intro. intros zenon_H148 zenon_H1a9 zenon_H144 zenon_H2fd zenon_H2fb zenon_H304 zenon_H14a zenon_He9 zenon_Hea zenon_Heb zenon_H2d7 zenon_H2d8 zenon_H2d9 zenon_H1f0 zenon_Hd. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H1a. zenon_intro zenon_H14b. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H13b. zenon_intro zenon_H14c. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H14c). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 1.41/1.54 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H1aa ]. % 1.41/1.54 apply (zenon_L1165_); trivial. % 1.41/1.54 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_Hf2 | zenon_intro zenon_He ]. % 1.41/1.54 apply (zenon_L1092_); trivial. % 1.41/1.54 exact (zenon_Hd zenon_He). % 1.41/1.54 (* end of lemma zenon_L1444_ *) % 1.41/1.54 assert (zenon_L1445_ : ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> (~(hskp4)) -> (~(c2_1 (a16))) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> (~(c2_1 (a1))) -> (~(c0_1 (a1))) -> (c3_1 (a1)) -> (~(hskp19)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> (c2_1 (a2)) -> (~(c3_1 (a2))) -> (~(c0_1 (a2))) -> (ndr1_0) -> (~(c0_1 (a30))) -> (~(c2_1 (a30))) -> (c1_1 (a30)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(hskp5)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp5))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> False). % 1.41/1.54 do 0 intro. intros zenon_H167 zenon_H1a9 zenon_Hd zenon_He9 zenon_Hea zenon_Heb zenon_H1f0 zenon_H2fd zenon_H2fb zenon_H304 zenon_H144 zenon_H14a zenon_H1c2 zenon_H2d9 zenon_H2d8 zenon_H2d7 zenon_H1a zenon_H201 zenon_H202 zenon_H203 zenon_Hd3 zenon_Hd4 zenon_Hdc zenon_H1c1. % 1.41/1.54 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H12c | zenon_intro zenon_H148 ]. % 1.41/1.54 apply (zenon_L1071_); trivial. % 1.41/1.54 apply (zenon_L1444_); trivial. % 1.41/1.54 (* end of lemma zenon_L1445_ *) % 1.41/1.54 assert (zenon_L1446_ : ((ndr1_0)/\((c2_1 (a24))/\((~(c0_1 (a24)))/\(~(c1_1 (a24)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a30))/\((~(c0_1 (a30)))/\(~(c2_1 (a30))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c3_1 (a1)) -> (~(c0_1 (a1))) -> (~(c2_1 (a1))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((hskp26)\/(hskp16))) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (~(c2_1 (a16))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (~(c0_1 (a2))) -> (~(c3_1 (a2))) -> (c2_1 (a2)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> False). % 1.41/1.54 do 0 intro. intros zenon_H10d zenon_H20a zenon_H17b zenon_H43 zenon_H2d zenon_Hdc zenon_Hd4 zenon_H1c2 zenon_H14a zenon_H304 zenon_H2fb zenon_H2fd zenon_H1f0 zenon_Hd zenon_H1a9 zenon_H167 zenon_H1ff zenon_Heb zenon_Hea zenon_He9 zenon_H95 zenon_H2d7 zenon_H2d8 zenon_H2d9 zenon_Hd3 zenon_H177 zenon_H1c1. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_H1a. zenon_intro zenon_H10f. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H104. zenon_intro zenon_H110. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_H102. zenon_intro zenon_H103. % 1.41/1.54 apply (zenon_or_s _ _ zenon_H20a); [ zenon_intro zenon_H1fd | zenon_intro zenon_H20b ]. % 1.41/1.54 apply (zenon_L1090_); trivial. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H20b). zenon_intro zenon_H1a. zenon_intro zenon_H20c. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H20c). zenon_intro zenon_H203. zenon_intro zenon_H20d. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H20d). zenon_intro zenon_H201. zenon_intro zenon_H202. % 1.41/1.54 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.41/1.54 apply (zenon_L1445_); trivial. % 1.41/1.54 apply (zenon_L1094_); trivial. % 1.41/1.54 (* end of lemma zenon_L1446_ *) % 1.41/1.54 assert (zenon_L1447_ : ((~(hskp14))\/((ndr1_0)/\((c2_1 (a24))/\((~(c0_1 (a24)))/\(~(c1_1 (a24))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a30))/\((~(c0_1 (a30)))/\(~(c2_1 (a30))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c3_1 (a1)) -> (~(c0_1 (a1))) -> (~(c2_1 (a1))) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((hskp26)\/(hskp16))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((hskp2)\/(hskp14))) -> (~(hskp2)) -> (~(c2_1 (a16))) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (ndr1_0) -> (~(c0_1 (a2))) -> (~(c3_1 (a2))) -> (c2_1 (a2)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> False). % 1.41/1.54 do 0 intro. intros zenon_H112 zenon_H20a zenon_H17b zenon_H43 zenon_H2d zenon_Hdc zenon_Hd4 zenon_H14a zenon_H304 zenon_H2fb zenon_H2fd zenon_Hd zenon_H1a9 zenon_H1ff zenon_H95 zenon_Hd3 zenon_H177 zenon_H1c1 zenon_H113 zenon_Hfe zenon_He9 zenon_Hea zenon_Heb zenon_Hfc zenon_H1a zenon_H2d7 zenon_H2d8 zenon_H2d9 zenon_H1c2 zenon_H1f0 zenon_H167. % 1.41/1.54 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_H100 | zenon_intro zenon_H10d ]. % 1.41/1.54 apply (zenon_L1041_); trivial. % 1.41/1.54 apply (zenon_L1446_); trivial. % 1.41/1.54 (* end of lemma zenon_L1447_ *) % 1.41/1.54 assert (zenon_L1448_ : ((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> (~(hskp4)) -> (~(c2_1 (a16))) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> (~(c2_1 (a1))) -> (~(c0_1 (a1))) -> (c3_1 (a1)) -> (~(hskp19)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> (c2_1 (a2)) -> (~(c3_1 (a2))) -> (~(c0_1 (a2))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (c2_1 (a24)) -> (~(c1_1 (a24))) -> (~(c0_1 (a24))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> False). % 1.41/1.54 do 0 intro. intros zenon_H1d7 zenon_H167 zenon_H1a9 zenon_Hd zenon_He9 zenon_Hea zenon_Heb zenon_H1f0 zenon_H2fd zenon_H2fb zenon_H304 zenon_H144 zenon_H14a zenon_H1c2 zenon_H2d9 zenon_H2d8 zenon_H2d7 zenon_H95 zenon_H104 zenon_H103 zenon_H102 zenon_Hd3 zenon_H177 zenon_H1c1. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H1a. zenon_intro zenon_H1d8. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1d0. zenon_intro zenon_H1d9. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1ce. zenon_intro zenon_H1cf. % 1.41/1.54 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H12c | zenon_intro zenon_H148 ]. % 1.41/1.54 apply (zenon_L1055_); trivial. % 1.41/1.54 apply (zenon_L1444_); trivial. % 1.41/1.54 (* end of lemma zenon_L1448_ *) % 1.41/1.54 assert (zenon_L1449_ : ((ndr1_0)/\((c2_1 (a24))/\((~(c0_1 (a24)))/\(~(c1_1 (a24)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp11)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (c2_1 (a2)) -> (~(c3_1 (a2))) -> (~(c0_1 (a2))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (~(c3_1 (a18))) -> (c0_1 (a18)) -> (c2_1 (a18)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c3_1 (a1)) -> (~(c0_1 (a1))) -> (~(c2_1 (a1))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (~(c2_1 (a16))) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> False). % 1.41/1.54 do 0 intro. intros zenon_H10d zenon_H17b zenon_H93 zenon_H91 zenon_H1c1 zenon_H177 zenon_Hd3 zenon_H2d9 zenon_H2d8 zenon_H2d7 zenon_H95 zenon_Hc1 zenon_He0 zenon_Hc2 zenon_H1c6 zenon_H1c2 zenon_H14a zenon_H304 zenon_H2fb zenon_H2fd zenon_H1f0 zenon_Heb zenon_Hea zenon_He9 zenon_Hd zenon_H1a9 zenon_H167 zenon_H1da. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_H1a. zenon_intro zenon_H10f. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H104. zenon_intro zenon_H110. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_H102. zenon_intro zenon_H103. % 1.41/1.54 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.41/1.54 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.41/1.54 apply (zenon_L1053_); trivial. % 1.41/1.54 apply (zenon_L1448_); trivial. % 1.41/1.54 apply (zenon_L153_); trivial. % 1.41/1.54 (* end of lemma zenon_L1449_ *) % 1.41/1.54 assert (zenon_L1450_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> (~(hskp4)) -> (~(c2_1 (a16))) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> (~(c2_1 (a1))) -> (~(c0_1 (a1))) -> (c3_1 (a1)) -> (~(hskp19)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> (c2_1 (a2)) -> (~(c3_1 (a2))) -> (~(c0_1 (a2))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (c2_1 (a24)) -> (~(c1_1 (a24))) -> (~(c0_1 (a24))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> (c2_1 (a18)) -> (c0_1 (a18)) -> (~(c3_1 (a18))) -> (ndr1_0) -> (~(c1_1 (a19))) -> (~(c3_1 (a19))) -> (c2_1 (a19)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> False). % 1.41/1.54 do 0 intro. intros zenon_H1da zenon_H167 zenon_H1a9 zenon_Hd zenon_He9 zenon_Hea zenon_Heb zenon_H1f0 zenon_H2fd zenon_H2fb zenon_H304 zenon_H144 zenon_H14a zenon_H1c2 zenon_H2d9 zenon_H2d8 zenon_H2d7 zenon_H95 zenon_H104 zenon_H103 zenon_H102 zenon_H177 zenon_H1c6 zenon_Hc2 zenon_He0 zenon_Hc1 zenon_H1a zenon_Hae zenon_Haf zenon_Hb0 zenon_Hd3 zenon_H1c1. % 1.41/1.54 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.41/1.54 apply (zenon_L279_); trivial. % 1.41/1.54 apply (zenon_L1448_); trivial. % 1.41/1.54 (* end of lemma zenon_L1450_ *) % 1.41/1.54 assert (zenon_L1451_ : ((ndr1_0)/\((c2_1 (a24))/\((~(c0_1 (a24)))/\(~(c1_1 (a24)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (c2_1 (a19)) -> (~(c3_1 (a19))) -> (~(c1_1 (a19))) -> (~(c3_1 (a18))) -> (c0_1 (a18)) -> (c2_1 (a18)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (~(c0_1 (a2))) -> (~(c3_1 (a2))) -> (c2_1 (a2)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c3_1 (a1)) -> (~(c0_1 (a1))) -> (~(c2_1 (a1))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (~(c2_1 (a16))) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> False). % 1.41/1.54 do 0 intro. intros zenon_H10d zenon_H17b zenon_H1c1 zenon_Hd3 zenon_Hb0 zenon_Haf zenon_Hae zenon_Hc1 zenon_He0 zenon_Hc2 zenon_H1c6 zenon_H177 zenon_H95 zenon_H2d7 zenon_H2d8 zenon_H2d9 zenon_H1c2 zenon_H14a zenon_H304 zenon_H2fb zenon_H2fd zenon_H1f0 zenon_Heb zenon_Hea zenon_He9 zenon_Hd zenon_H1a9 zenon_H167 zenon_H1da. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_H1a. zenon_intro zenon_H10f. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H104. zenon_intro zenon_H110. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_H102. zenon_intro zenon_H103. % 1.41/1.54 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.41/1.54 apply (zenon_L1450_); trivial. % 1.41/1.54 apply (zenon_L313_); trivial. % 1.41/1.54 (* end of lemma zenon_L1451_ *) % 1.41/1.54 assert (zenon_L1452_ : ((ndr1_0)/\((c0_1 (a18))/\((c2_1 (a18))/\(~(c3_1 (a18)))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a19))/\((~(c1_1 (a19)))/\(~(c3_1 (a19))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> (c2_1 (a2)) -> (~(c3_1 (a2))) -> (~(c0_1 (a2))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (~(c2_1 (a16))) -> (~(hskp2)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((hskp2)\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> (~(hskp4)) -> (~(c2_1 (a1))) -> (~(c0_1 (a1))) -> (c3_1 (a1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a24))/\((~(c0_1 (a24)))/\(~(c1_1 (a24))))))) -> False). % 1.41/1.54 do 0 intro. intros zenon_H217 zenon_H213 zenon_H167 zenon_H1f0 zenon_H1c2 zenon_H2d9 zenon_H2d8 zenon_H2d7 zenon_Hfc zenon_Heb zenon_Hea zenon_He9 zenon_Hfe zenon_H113 zenon_H1c1 zenon_H1da zenon_H1a9 zenon_Hd zenon_H2fd zenon_H2fb zenon_H304 zenon_H14a zenon_H1c6 zenon_H95 zenon_Hd3 zenon_H177 zenon_H93 zenon_H17b zenon_H112. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H1a. zenon_intro zenon_H218. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_He0. zenon_intro zenon_H219. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_Hc2. zenon_intro zenon_Hc1. % 1.41/1.54 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H91 | zenon_intro zenon_He5 ]. % 1.41/1.54 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_H100 | zenon_intro zenon_H10d ]. % 1.41/1.54 apply (zenon_L1041_); trivial. % 1.41/1.54 apply (zenon_L1449_); trivial. % 1.41/1.54 apply (zenon_and_s _ _ zenon_He5). zenon_intro zenon_H1a. zenon_intro zenon_He6. % 1.41/1.54 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_Hb0. zenon_intro zenon_He7. % 1.41/1.54 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hae. zenon_intro zenon_Haf. % 1.41/1.54 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_H100 | zenon_intro zenon_H10d ]. % 1.41/1.54 apply (zenon_L1137_); trivial. % 1.41/1.54 apply (zenon_L1451_); trivial. % 1.41/1.54 (* end of lemma zenon_L1452_ *) % 1.41/1.54 assert (zenon_L1453_ : ((ndr1_0)/\((c0_1 (a16))/\((~(c2_1 (a16)))/\(~(c3_1 (a16)))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a18))/\((c2_1 (a18))/\(~(c3_1 (a18))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a19))/\((~(c1_1 (a19)))/\(~(c3_1 (a19))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> (c2_1 (a2)) -> (~(c3_1 (a2))) -> (~(c0_1 (a2))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(hskp2)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((hskp2)\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((hskp26)\/(hskp16))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> (~(hskp4)) -> (~(c2_1 (a1))) -> (~(c0_1 (a1))) -> (c3_1 (a1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (~(hskp5)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp5))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a30))/\((~(c0_1 (a30)))/\(~(c2_1 (a30))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a24))/\((~(c0_1 (a24)))/\(~(c1_1 (a24))))))) -> False). % 1.41/1.54 do 0 intro. intros zenon_H216 zenon_H212 zenon_H213 zenon_H1da zenon_H1c6 zenon_H93 zenon_H167 zenon_H1f0 zenon_H1c2 zenon_H2d9 zenon_H2d8 zenon_H2d7 zenon_Hfc zenon_Hfe zenon_H113 zenon_H1c1 zenon_H177 zenon_Hd3 zenon_H95 zenon_H1ff zenon_H1a9 zenon_Hd zenon_H2fd zenon_H2fb zenon_H304 zenon_H14a zenon_Hd4 zenon_Hdc zenon_H43 zenon_H17b zenon_H20a zenon_H112. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_H1a. zenon_intro zenon_H21a. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_Heb. zenon_intro zenon_H21b. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_He9. zenon_intro zenon_Hea. % 1.41/1.54 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H2d | zenon_intro zenon_H217 ]. % 1.41/1.54 apply (zenon_L1447_); trivial. % 1.41/1.54 apply (zenon_L1452_); trivial. % 1.41/1.54 (* end of lemma zenon_L1453_ *) % 1.41/1.54 assert (zenon_L1454_ : ((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> (~(hskp4)) -> (c0_1 (a15)) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> (~(c2_1 (a1))) -> (~(c0_1 (a1))) -> (c3_1 (a1)) -> (~(hskp19)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> (c2_1 (a2)) -> (~(c3_1 (a2))) -> (~(c0_1 (a2))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (c2_1 (a24)) -> (~(c1_1 (a24))) -> (~(c0_1 (a24))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> False). % 1.41/1.54 do 0 intro. intros zenon_H1d7 zenon_H167 zenon_H1a9 zenon_Hd zenon_H117 zenon_H116 zenon_H115 zenon_H2fd zenon_H2fb zenon_H304 zenon_H144 zenon_H14a zenon_H1c2 zenon_H2d9 zenon_H2d8 zenon_H2d7 zenon_H95 zenon_H104 zenon_H103 zenon_H102 zenon_Hd3 zenon_H177 zenon_H1c1. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H1a. zenon_intro zenon_H1d8. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1d0. zenon_intro zenon_H1d9. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1ce. zenon_intro zenon_H1cf. % 1.41/1.54 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H12c | zenon_intro zenon_H148 ]. % 1.41/1.54 apply (zenon_L1055_); trivial. % 1.41/1.54 apply (zenon_L1221_); trivial. % 1.41/1.54 (* end of lemma zenon_L1454_ *) % 1.41/1.54 assert (zenon_L1455_ : ((ndr1_0)/\((c2_1 (a24))/\((~(c0_1 (a24)))/\(~(c1_1 (a24)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> (~(hskp11)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (c2_1 (a2)) -> (~(c3_1 (a2))) -> (~(c0_1 (a2))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (~(c3_1 (a18))) -> (c0_1 (a18)) -> (c2_1 (a18)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c3_1 (a1)) -> (~(c0_1 (a1))) -> (~(c2_1 (a1))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (c0_1 (a15)) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> False). % 1.41/1.54 do 0 intro. intros zenon_H10d zenon_H17b zenon_H93 zenon_H91 zenon_H1c1 zenon_H177 zenon_Hd3 zenon_H2d9 zenon_H2d8 zenon_H2d7 zenon_H95 zenon_Hc1 zenon_He0 zenon_Hc2 zenon_H1c6 zenon_H1c2 zenon_H14a zenon_H304 zenon_H2fb zenon_H2fd zenon_H115 zenon_H116 zenon_H117 zenon_Hd zenon_H1a9 zenon_H167 zenon_H1da. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_H1a. zenon_intro zenon_H10f. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H104. zenon_intro zenon_H110. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_H102. zenon_intro zenon_H103. % 1.41/1.54 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.41/1.54 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.41/1.54 apply (zenon_L1053_); trivial. % 1.41/1.54 apply (zenon_L1454_); trivial. % 1.41/1.54 apply (zenon_L153_); trivial. % 1.41/1.54 (* end of lemma zenon_L1455_ *) % 1.41/1.54 assert (zenon_L1456_ : ((ndr1_0)/\((c2_1 (a24))/\((~(c0_1 (a24)))/\(~(c1_1 (a24)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (c2_1 (a19)) -> (~(c3_1 (a19))) -> (~(c1_1 (a19))) -> (~(c3_1 (a18))) -> (c0_1 (a18)) -> (c2_1 (a18)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (~(c0_1 (a2))) -> (~(c3_1 (a2))) -> (c2_1 (a2)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c3_1 (a1)) -> (~(c0_1 (a1))) -> (~(c2_1 (a1))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (c0_1 (a15)) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> False). % 1.41/1.54 do 0 intro. intros zenon_H10d zenon_H17b zenon_H1c1 zenon_Hd3 zenon_Hb0 zenon_Haf zenon_Hae zenon_Hc1 zenon_He0 zenon_Hc2 zenon_H1c6 zenon_H177 zenon_H95 zenon_H2d7 zenon_H2d8 zenon_H2d9 zenon_H1c2 zenon_H14a zenon_H304 zenon_H2fb zenon_H2fd zenon_H115 zenon_H116 zenon_H117 zenon_Hd zenon_H1a9 zenon_H167 zenon_H1da. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_H1a. zenon_intro zenon_H10f. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H104. zenon_intro zenon_H110. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_H102. zenon_intro zenon_H103. % 1.41/1.54 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.41/1.54 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.41/1.54 apply (zenon_L279_); trivial. % 1.41/1.54 apply (zenon_L1454_); trivial. % 1.41/1.54 apply (zenon_L313_); trivial. % 1.41/1.54 (* end of lemma zenon_L1456_ *) % 1.41/1.54 assert (zenon_L1457_ : ((ndr1_0)/\((c0_1 (a18))/\((c2_1 (a18))/\(~(c3_1 (a18)))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a19))/\((~(c1_1 (a19)))/\(~(c3_1 (a19))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((hskp2)\/(hskp14))) -> (~(hskp2)) -> (c0_1 (a15)) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> (~(hskp4)) -> (~(c2_1 (a1))) -> (~(c0_1 (a1))) -> (c3_1 (a1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (~(c0_1 (a2))) -> (~(c3_1 (a2))) -> (c2_1 (a2)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a24))/\((~(c0_1 (a24)))/\(~(c1_1 (a24))))))) -> False). % 1.41/1.55 do 0 intro. intros zenon_H217 zenon_H213 zenon_H113 zenon_Hfe zenon_H117 zenon_H116 zenon_H115 zenon_H1da zenon_H167 zenon_H1a9 zenon_Hd zenon_H2fd zenon_H2fb zenon_H304 zenon_H14a zenon_H1c2 zenon_H1c6 zenon_H95 zenon_H2d7 zenon_H2d8 zenon_H2d9 zenon_Hd3 zenon_H177 zenon_H1c1 zenon_H93 zenon_H17b zenon_H112. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H1a. zenon_intro zenon_H218. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_He0. zenon_intro zenon_H219. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_Hc2. zenon_intro zenon_Hc1. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H91 | zenon_intro zenon_He5 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_H100 | zenon_intro zenon_H10d ]. % 1.41/1.55 apply (zenon_L74_); trivial. % 1.41/1.55 apply (zenon_L1455_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_He5). zenon_intro zenon_H1a. zenon_intro zenon_He6. % 1.41/1.55 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_Hb0. zenon_intro zenon_He7. % 1.41/1.55 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hae. zenon_intro zenon_Haf. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_H100 | zenon_intro zenon_H10d ]. % 1.41/1.55 apply (zenon_L74_); trivial. % 1.41/1.55 apply (zenon_L1456_); trivial. % 1.41/1.55 (* end of lemma zenon_L1457_ *) % 1.41/1.55 assert (zenon_L1458_ : ((~(hskp10))\/((ndr1_0)/\((c0_1 (a18))/\((c2_1 (a18))/\(~(c3_1 (a18))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a19))/\((~(c1_1 (a19)))/\(~(c3_1 (a19))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((hskp2)\/(hskp14))) -> (~(hskp2)) -> (c0_1 (a15)) -> (~(c2_1 (a15))) -> (~(c1_1 (a15))) -> (ndr1_0) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> (~(hskp4)) -> (~(c2_1 (a1))) -> (~(c0_1 (a1))) -> (c3_1 (a1)) -> (~(hskp9)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((hskp9)\/(hskp24))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (c2_1 (a2)) -> (~(c3_1 (a2))) -> (~(c0_1 (a2))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a24))/\((~(c0_1 (a24)))/\(~(c1_1 (a24))))))) -> False). % 1.41/1.55 do 0 intro. intros zenon_H212 zenon_H213 zenon_H1da zenon_H167 zenon_H14a zenon_H1c2 zenon_H1c6 zenon_H1c1 zenon_H93 zenon_H17b zenon_H113 zenon_Hfe zenon_H117 zenon_H116 zenon_H115 zenon_H1a zenon_H1a9 zenon_Hd zenon_H2fd zenon_H2fb zenon_H304 zenon_H3 zenon_H7b zenon_H95 zenon_Hd3 zenon_H2d9 zenon_H2d8 zenon_H2d7 zenon_H43 zenon_H177 zenon_H48 zenon_H112. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H2d | zenon_intro zenon_H217 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_H100 | zenon_intro zenon_H10d ]. % 1.41/1.55 apply (zenon_L74_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_H1a. zenon_intro zenon_H10f. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H104. zenon_intro zenon_H110. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_H102. zenon_intro zenon_H103. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H11 | zenon_intro zenon_H41 ]. % 1.41/1.55 apply (zenon_L1366_); trivial. % 1.41/1.55 apply (zenon_L1049_); trivial. % 1.41/1.55 apply (zenon_L1457_); trivial. % 1.41/1.55 (* end of lemma zenon_L1458_ *) % 1.41/1.55 assert (zenon_L1459_ : ((ndr1_0)/\((c0_1 (a15))/\((~(c1_1 (a15)))/\(~(c2_1 (a15)))))) -> ((~(hskp9))\/((ndr1_0)/\((c0_1 (a16))/\((~(c2_1 (a16)))/\(~(c3_1 (a16))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((hskp26)\/(hskp16))) -> (~(hskp5)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp5))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a30))/\((~(c0_1 (a30)))/\(~(c2_1 (a30))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a24))/\((~(c0_1 (a24)))/\(~(c1_1 (a24))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(c0_1 (a2))) -> (~(c3_1 (a2))) -> (c2_1 (a2)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((hskp9)\/(hskp24))) -> (c3_1 (a1)) -> (~(c0_1 (a1))) -> (~(c2_1 (a1))) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> (~(hskp2)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((hskp2)\/(hskp14))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a19))/\((~(c1_1 (a19)))/\(~(c3_1 (a19))))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a18))/\((c2_1 (a18))/\(~(c3_1 (a18))))))) -> False). % 1.41/1.55 do 0 intro. intros zenon_H20e zenon_H215 zenon_H1f0 zenon_Hfc zenon_H1ff zenon_Hd4 zenon_Hdc zenon_H20a zenon_H112 zenon_H48 zenon_H177 zenon_H43 zenon_H2d7 zenon_H2d8 zenon_H2d9 zenon_Hd3 zenon_H95 zenon_H7b zenon_H304 zenon_H2fb zenon_H2fd zenon_Hd zenon_H1a9 zenon_Hfe zenon_H113 zenon_H17b zenon_H93 zenon_H1c1 zenon_H1c6 zenon_H1c2 zenon_H14a zenon_H167 zenon_H1da zenon_H213 zenon_H212. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H20e). zenon_intro zenon_H1a. zenon_intro zenon_H20f. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H20f). zenon_intro zenon_H117. zenon_intro zenon_H210. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H210). zenon_intro zenon_H115. zenon_intro zenon_H116. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H3 | zenon_intro zenon_H216 ]. % 1.41/1.55 apply (zenon_L1458_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_H1a. zenon_intro zenon_H21a. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_Heb. zenon_intro zenon_H21b. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_He9. zenon_intro zenon_Hea. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H2d | zenon_intro zenon_H217 ]. % 1.41/1.55 apply (zenon_L1447_); trivial. % 1.41/1.55 apply (zenon_L1457_); trivial. % 1.41/1.55 (* end of lemma zenon_L1459_ *) % 1.41/1.55 assert (zenon_L1460_ : ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> (~(hskp4)) -> (~(c2_1 (a14))) -> (c0_1 (a14)) -> (c3_1 (a14)) -> (~(c2_1 (a1))) -> (~(c0_1 (a1))) -> (c3_1 (a1)) -> (~(hskp19)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> (c2_1 (a2)) -> (~(c3_1 (a2))) -> (~(c0_1 (a2))) -> (ndr1_0) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(hskp8)) -> (~(hskp9)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp8)\/(hskp9))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> False). % 1.41/1.55 do 0 intro. intros zenon_H167 zenon_H1a9 zenon_Hd zenon_H11f zenon_H120 zenon_H121 zenon_H2fd zenon_H2fb zenon_H304 zenon_H144 zenon_H14a zenon_H1c2 zenon_H2d9 zenon_H2d8 zenon_H2d7 zenon_H1a zenon_Hd3 zenon_Hb zenon_H3 zenon_H1a3 zenon_H1c1. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H12c | zenon_intro zenon_H148 ]. % 1.41/1.55 apply (zenon_L1029_); trivial. % 1.41/1.55 apply (zenon_L1186_); trivial. % 1.41/1.55 (* end of lemma zenon_L1460_ *) % 1.41/1.55 assert (zenon_L1461_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/((hskp6)\/(hskp26))) -> (~(hskp6)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp8)\/(hskp9))) -> (~(hskp9)) -> (~(hskp8)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (ndr1_0) -> (~(c0_1 (a2))) -> (~(c3_1 (a2))) -> (c2_1 (a2)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c3_1 (a1)) -> (~(c0_1 (a1))) -> (~(c2_1 (a1))) -> (c3_1 (a14)) -> (c0_1 (a14)) -> (~(c2_1 (a14))) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> False). % 1.41/1.55 do 0 intro. intros zenon_H17b zenon_H2ea zenon_H2b zenon_H95 zenon_H1c1 zenon_H1a3 zenon_H3 zenon_Hb zenon_Hd3 zenon_H1a zenon_H2d7 zenon_H2d8 zenon_H2d9 zenon_H1c2 zenon_H14a zenon_H304 zenon_H2fb zenon_H2fd zenon_H121 zenon_H120 zenon_H11f zenon_Hd zenon_H1a9 zenon_H167. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.41/1.55 apply (zenon_L1460_); trivial. % 1.41/1.55 apply (zenon_L1038_); trivial. % 1.41/1.55 (* end of lemma zenon_L1461_ *) % 1.41/1.55 assert (zenon_L1462_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp10)) -> (~(hskp15)) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp8)\/(hskp9))) -> (~(hskp9)) -> (~(hskp8)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (ndr1_0) -> (~(c0_1 (a2))) -> (~(c3_1 (a2))) -> (c2_1 (a2)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c3_1 (a1)) -> (~(c0_1 (a1))) -> (~(c2_1 (a1))) -> (c3_1 (a14)) -> (c0_1 (a14)) -> (~(c2_1 (a14))) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> False). % 1.41/1.55 do 0 intro. intros zenon_H17b zenon_H43 zenon_H2d zenon_H146 zenon_H149 zenon_H1c1 zenon_H1a3 zenon_H3 zenon_Hb zenon_Hd3 zenon_H1a zenon_H2d7 zenon_H2d8 zenon_H2d9 zenon_H1c2 zenon_H14a zenon_H304 zenon_H2fb zenon_H2fd zenon_H121 zenon_H120 zenon_H11f zenon_Hd zenon_H1a9 zenon_H167. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.41/1.55 apply (zenon_L1460_); trivial. % 1.41/1.55 apply (zenon_L1285_); trivial. % 1.41/1.55 (* end of lemma zenon_L1462_ *) % 1.41/1.55 assert (zenon_L1463_ : ((ndr1_0)/\((c0_1 (a18))/\((c2_1 (a18))/\(~(c3_1 (a18)))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a19))/\((~(c1_1 (a19)))/\(~(c3_1 (a19))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> (~(hskp4)) -> (~(c2_1 (a14))) -> (c0_1 (a14)) -> (c3_1 (a14)) -> (~(c2_1 (a1))) -> (~(c0_1 (a1))) -> (c3_1 (a1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> (c2_1 (a2)) -> (~(c3_1 (a2))) -> (~(c0_1 (a2))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(hskp8)) -> (~(hskp9)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp8)\/(hskp9))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> False). % 1.41/1.55 do 0 intro. intros zenon_H217 zenon_H213 zenon_H1da zenon_H95 zenon_H1c6 zenon_H167 zenon_H1a9 zenon_Hd zenon_H11f zenon_H120 zenon_H121 zenon_H2fd zenon_H2fb zenon_H304 zenon_H14a zenon_H1c2 zenon_H2d9 zenon_H2d8 zenon_H2d7 zenon_Hd3 zenon_Hb zenon_H3 zenon_H1a3 zenon_H1c1 zenon_H93 zenon_H17b. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H1a. zenon_intro zenon_H218. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_He0. zenon_intro zenon_H219. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_Hc2. zenon_intro zenon_Hc1. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H91 | zenon_intro zenon_He5 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.41/1.55 apply (zenon_L1460_); trivial. % 1.41/1.55 apply (zenon_L153_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_He5). zenon_intro zenon_H1a. zenon_intro zenon_He6. % 1.41/1.55 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_Hb0. zenon_intro zenon_He7. % 1.41/1.55 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hae. zenon_intro zenon_Haf. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.41/1.55 apply (zenon_L1460_); trivial. % 1.41/1.55 apply (zenon_L280_); trivial. % 1.41/1.55 (* end of lemma zenon_L1463_ *) % 1.41/1.55 assert (zenon_L1464_ : ((~(hskp10))\/((ndr1_0)/\((c0_1 (a18))/\((c2_1 (a18))/\(~(c3_1 (a18))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a19))/\((~(c1_1 (a19)))/\(~(c3_1 (a19))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp8)\/(hskp9))) -> (~(hskp9)) -> (~(hskp8)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (ndr1_0) -> (~(c0_1 (a2))) -> (~(c3_1 (a2))) -> (c2_1 (a2)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c3_1 (a1)) -> (~(c0_1 (a1))) -> (~(c2_1 (a1))) -> (c3_1 (a14)) -> (c0_1 (a14)) -> (~(c2_1 (a14))) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((hskp26)\/(hskp16))) -> (~(c2_1 (a8))) -> (c1_1 (a8)) -> (c0_1 (a8)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((hskp9)\/(hskp24))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp24))) -> (~(hskp5)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp5))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a30))/\((~(c0_1 (a30)))/\(~(c2_1 (a30))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(~(c3_1 (a25))))))) -> False). % 1.41/1.55 do 0 intro. intros zenon_H212 zenon_H213 zenon_H1da zenon_H95 zenon_H1c6 zenon_H93 zenon_H17b zenon_H43 zenon_H149 zenon_H1c1 zenon_H1a3 zenon_H3 zenon_Hb zenon_Hd3 zenon_H1a zenon_H2d7 zenon_H2d8 zenon_H2d9 zenon_H1c2 zenon_H14a zenon_H304 zenon_H2fb zenon_H2fd zenon_H121 zenon_H120 zenon_H11f zenon_Hd zenon_H1a9 zenon_H167 zenon_H48 zenon_H1ff zenon_H21f zenon_H220 zenon_H228 zenon_H7b zenon_H1f8 zenon_Hd4 zenon_Hdc zenon_H177 zenon_H20a zenon_H1a2. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H2d | zenon_intro zenon_H217 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H146 | zenon_intro zenon_H19f ]. % 1.41/1.55 apply (zenon_L1462_); trivial. % 1.41/1.55 apply (zenon_L1078_); trivial. % 1.41/1.55 apply (zenon_L1463_); trivial. % 1.41/1.55 (* end of lemma zenon_L1464_ *) % 1.41/1.55 assert (zenon_L1465_ : ((ndr1_0)/\((c2_1 (a24))/\((~(c0_1 (a24)))/\(~(c1_1 (a24)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> (~(hskp10)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(c0_1 (a2))) -> (~(c3_1 (a2))) -> (c2_1 (a2)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c3_1 (a1)) -> (~(c0_1 (a1))) -> (~(c2_1 (a1))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> (c0_1 (a16)) -> (~(c3_1 (a16))) -> (~(c2_1 (a16))) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> False). % 1.41/1.55 do 0 intro. intros zenon_H10d zenon_H17b zenon_H1c1 zenon_H177 zenon_Hd3 zenon_H233 zenon_H234 zenon_H235 zenon_H2d zenon_H43 zenon_H2d7 zenon_H2d8 zenon_H2d9 zenon_H1c2 zenon_H14a zenon_H304 zenon_H2fb zenon_H2fd zenon_H1f0 zenon_Heb zenon_Hea zenon_He9 zenon_Hd zenon_H1a9 zenon_H167. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_H1a. zenon_intro zenon_H10f. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H104. zenon_intro zenon_H110. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_H102. zenon_intro zenon_H103. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H12c | zenon_intro zenon_H148 ]. % 1.41/1.55 apply (zenon_L1135_); trivial. % 1.41/1.55 apply (zenon_L1444_); trivial. % 1.41/1.55 apply (zenon_L459_); trivial. % 1.41/1.55 (* end of lemma zenon_L1465_ *) % 1.41/1.55 assert (zenon_L1466_ : ((ndr1_0)/\((c0_1 (a16))/\((~(c2_1 (a16)))/\(~(c3_1 (a16)))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a18))/\((c2_1 (a18))/\(~(c3_1 (a18))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a19))/\((~(c1_1 (a19)))/\(~(c3_1 (a19))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> (c2_1 (a2)) -> (~(c3_1 (a2))) -> (~(c0_1 (a2))) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45)))))))) -> (~(hskp2)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((hskp2)\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> (~(hskp4)) -> (~(c2_1 (a1))) -> (~(c0_1 (a1))) -> (c3_1 (a1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a24))/\((~(c0_1 (a24)))/\(~(c1_1 (a24))))))) -> False). % 1.41/1.55 do 0 intro. intros zenon_H216 zenon_H212 zenon_H213 zenon_H1da zenon_H1c6 zenon_H95 zenon_H93 zenon_H167 zenon_H1f0 zenon_H1c2 zenon_H2d9 zenon_H2d8 zenon_H2d7 zenon_Hfc zenon_Hfe zenon_H113 zenon_H1c1 zenon_H1a9 zenon_Hd zenon_H2fd zenon_H2fb zenon_H304 zenon_H14a zenon_H43 zenon_H235 zenon_H234 zenon_H233 zenon_Hd3 zenon_H177 zenon_H17b zenon_H112. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_H1a. zenon_intro zenon_H21a. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_Heb. zenon_intro zenon_H21b. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_He9. zenon_intro zenon_Hea. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H2d | zenon_intro zenon_H217 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_H100 | zenon_intro zenon_H10d ]. % 1.41/1.55 apply (zenon_L1041_); trivial. % 1.41/1.55 apply (zenon_L1465_); trivial. % 1.41/1.55 apply (zenon_L1452_); trivial. % 1.41/1.55 (* end of lemma zenon_L1466_ *) % 1.41/1.55 assert (zenon_L1467_ : ((ndr1_0)/\((c2_1 (a24))/\((~(c0_1 (a24)))/\(~(c1_1 (a24)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(c0_1 (a7))) -> (c1_1 (a7)) -> (c3_1 (a7)) -> (~(hskp10)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(c0_1 (a2))) -> (~(c3_1 (a2))) -> (c2_1 (a2)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c3_1 (a1)) -> (~(c0_1 (a1))) -> (~(c2_1 (a1))) -> (~(c1_1 (a15))) -> (~(c2_1 (a15))) -> (c0_1 (a15)) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> False). % 1.41/1.55 do 0 intro. intros zenon_H10d zenon_H17b zenon_H1c1 zenon_H177 zenon_Hd3 zenon_H233 zenon_H234 zenon_H235 zenon_H2d zenon_H43 zenon_H2d7 zenon_H2d8 zenon_H2d9 zenon_H1c2 zenon_H14a zenon_H304 zenon_H2fb zenon_H2fd zenon_H115 zenon_H116 zenon_H117 zenon_Hd zenon_H1a9 zenon_H167. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_H1a. zenon_intro zenon_H10f. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H104. zenon_intro zenon_H110. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_H102. zenon_intro zenon_H103. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H12c | zenon_intro zenon_H148 ]. % 1.41/1.55 apply (zenon_L1135_); trivial. % 1.41/1.55 apply (zenon_L1221_); trivial. % 1.41/1.55 apply (zenon_L459_); trivial. % 1.41/1.55 (* end of lemma zenon_L1467_ *) % 1.41/1.55 assert (zenon_L1468_ : ((ndr1_0)/\((c0_1 (a15))/\((~(c1_1 (a15)))/\(~(c2_1 (a15)))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a18))/\((c2_1 (a18))/\(~(c3_1 (a18))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a19))/\((~(c1_1 (a19)))/\(~(c3_1 (a19))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((hskp2)\/(hskp14))) -> (~(hskp2)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> (~(hskp4)) -> (~(c2_1 (a1))) -> (~(c0_1 (a1))) -> (c3_1 (a1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> (c2_1 (a2)) -> (~(c3_1 (a2))) -> (~(c0_1 (a2))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a24))/\((~(c0_1 (a24)))/\(~(c1_1 (a24))))))) -> False). % 1.41/1.55 do 0 intro. intros zenon_H20e zenon_H212 zenon_H213 zenon_H1da zenon_H1c6 zenon_H95 zenon_H93 zenon_H113 zenon_Hfe zenon_H167 zenon_H1a9 zenon_Hd zenon_H2fd zenon_H2fb zenon_H304 zenon_H14a zenon_H1c2 zenon_H2d9 zenon_H2d8 zenon_H2d7 zenon_H43 zenon_H235 zenon_H234 zenon_H233 zenon_Hd3 zenon_H177 zenon_H1c1 zenon_H17b zenon_H112. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H20e). zenon_intro zenon_H1a. zenon_intro zenon_H20f. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H20f). zenon_intro zenon_H117. zenon_intro zenon_H210. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H210). zenon_intro zenon_H115. zenon_intro zenon_H116. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H2d | zenon_intro zenon_H217 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_H100 | zenon_intro zenon_H10d ]. % 1.41/1.55 apply (zenon_L74_); trivial. % 1.41/1.55 apply (zenon_L1467_); trivial. % 1.41/1.55 apply (zenon_L1457_); trivial. % 1.41/1.55 (* end of lemma zenon_L1468_ *) % 1.41/1.55 assert (zenon_L1469_ : ((~(hskp10))\/((ndr1_0)/\((c0_1 (a18))/\((c2_1 (a18))/\(~(c3_1 (a18))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a19))/\((~(c1_1 (a19)))/\(~(c3_1 (a19))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c3_1 X13))))))\/((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/(hskp4))) -> (~(hskp4)) -> (~(c2_1 (a14))) -> (c0_1 (a14)) -> (c3_1 (a14)) -> (~(c2_1 (a1))) -> (~(c0_1 (a1))) -> (c3_1 (a1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> (c2_1 (a2)) -> (~(c3_1 (a2))) -> (~(c0_1 (a2))) -> (ndr1_0) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(hskp8)) -> (~(hskp9)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))\/((hskp8)\/(hskp9))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (c3_1 (a7)) -> (c1_1 (a7)) -> (~(c0_1 (a7))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> False). % 1.41/1.55 do 0 intro. intros zenon_H212 zenon_H213 zenon_H1da zenon_H95 zenon_H1c6 zenon_H93 zenon_H167 zenon_H1a9 zenon_Hd zenon_H11f zenon_H120 zenon_H121 zenon_H2fd zenon_H2fb zenon_H304 zenon_H14a zenon_H1c2 zenon_H2d9 zenon_H2d8 zenon_H2d7 zenon_H1a zenon_Hd3 zenon_Hb zenon_H3 zenon_H1a3 zenon_H1c1 zenon_H43 zenon_H235 zenon_H234 zenon_H233 zenon_H17b. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H2d | zenon_intro zenon_H217 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.41/1.55 apply (zenon_L1460_); trivial. % 1.41/1.55 apply (zenon_L441_); trivial. % 1.41/1.55 apply (zenon_L1463_); trivial. % 1.41/1.55 (* end of lemma zenon_L1469_ *) % 1.41/1.55 assert (zenon_L1470_ : ((ndr1_0)/\((c1_1 (a30))/\((~(c0_1 (a30)))/\(~(c2_1 (a30)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (~(hskp15)) -> (~(c2_1 (a1))) -> (c3_1 (a1)) -> (~(c0_1 (a1))) -> (~(hskp10)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (~(c0_1 (a2))) -> (~(c3_1 (a2))) -> (c2_1 (a2)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> False). % 1.41/1.55 do 0 intro. intros zenon_H20b zenon_H17b zenon_H177 zenon_H149 zenon_H146 zenon_H2fd zenon_H304 zenon_H2fb zenon_H2d zenon_H43 zenon_H1c1 zenon_Hdc zenon_Hd4 zenon_Hd3 zenon_H2d7 zenon_H2d8 zenon_H2d9 zenon_H1c2 zenon_H254 zenon_H255 zenon_H256 zenon_H14a zenon_H167. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H20b). zenon_intro zenon_H1a. zenon_intro zenon_H20c. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H20c). zenon_intro zenon_H203. zenon_intro zenon_H20d. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H20d). zenon_intro zenon_H201. zenon_intro zenon_H202. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.41/1.55 apply (zenon_L1123_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1a. zenon_intro zenon_H178. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H16a. zenon_intro zenon_H179. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H171. zenon_intro zenon_H168. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hd6 ]. % 1.41/1.55 apply (zenon_L1066_); trivial. % 1.41/1.55 apply (zenon_L1242_); trivial. % 1.41/1.55 (* end of lemma zenon_L1470_ *) % 1.41/1.55 assert (zenon_L1471_ : ((ndr1_0)/\((c2_1 (a24))/\((~(c0_1 (a24)))/\(~(c1_1 (a24)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(~(c3_1 (a25))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp24))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> (c2_1 (a2)) -> (~(c3_1 (a2))) -> (~(c0_1 (a2))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (~(c2_1 (a16))) -> (~(c3_1 (a16))) -> (c0_1 (a16)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((hskp26)\/(hskp16))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> (c3_1 (a6)) -> (c1_1 (a6)) -> (~(c2_1 (a6))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> (~(hskp5)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp5))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(hskp10)) -> (~(c0_1 (a1))) -> (c3_1 (a1)) -> (~(c2_1 (a1))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a30))/\((~(c0_1 (a30)))/\(~(c2_1 (a30))))))) -> False). % 1.41/1.55 do 0 intro. intros zenon_H10d zenon_H1a2 zenon_H48 zenon_H1f8 zenon_H1c1 zenon_H177 zenon_Hd3 zenon_H2d9 zenon_H2d8 zenon_H2d7 zenon_H95 zenon_He9 zenon_Hea zenon_Heb zenon_H1ff zenon_H167 zenon_H14a zenon_H256 zenon_H255 zenon_H254 zenon_H1c2 zenon_Hd4 zenon_Hdc zenon_H43 zenon_H2d zenon_H2fb zenon_H304 zenon_H2fd zenon_H149 zenon_H17b zenon_H20a. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_H1a. zenon_intro zenon_H10f. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H104. zenon_intro zenon_H110. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_H102. zenon_intro zenon_H103. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H146 | zenon_intro zenon_H19f ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H20a); [ zenon_intro zenon_H1fd | zenon_intro zenon_H20b ]. % 1.41/1.55 apply (zenon_L1090_); trivial. % 1.41/1.55 apply (zenon_L1470_); trivial. % 1.41/1.55 apply (zenon_L1097_); trivial. % 1.41/1.55 (* end of lemma zenon_L1471_ *) % 1.41/1.55 assert (zenon_L1472_ : ((ndr1_0)/\((c0_1 (a15))/\((~(c1_1 (a15)))/\(~(c2_1 (a15)))))) -> ((~(hskp9))\/((ndr1_0)/\((c0_1 (a16))/\((~(c2_1 (a16)))/\(~(c3_1 (a16))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c1_1 X11))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a30))/\((~(c0_1 (a30)))/\(~(c2_1 (a30))))))) -> ((forall X42 : zenon_U, ((ndr1_0)->((c1_1 X42)\/((c2_1 X42)\/(~(c3_1 X42))))))\/((forall X43 : zenon_U, ((ndr1_0)->((c2_1 X43)\/((~(c0_1 X43))\/(~(c3_1 X43))))))\/(hskp15))) -> (~(c2_1 (a1))) -> (c3_1 (a1)) -> (~(c0_1 (a1))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((c2_1 X21)\/(~(c1_1 X21))))))\/((forall X22 : zenon_U, ((ndr1_0)->((c3_1 X22)\/((~(c1_1 X22))\/(~(c2_1 X22))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X48 : zenon_U, ((ndr1_0)->((c2_1 X48)\/((c3_1 X48)\/(~(c0_1 X48))))))\/((hskp26)\/(hskp16))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c0_1 X5))\/(~(c1_1 X5))))))\/(hskp24))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a25))/\((c1_1 (a25))/\(~(c3_1 (a25))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a24))/\((~(c0_1 (a24)))/\(~(c1_1 (a24))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a3))/\((c2_1 (a3))/\(c3_1 (a3)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c1_1 Z)\/(c3_1 Z)))))\/(forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((~(c1_1 X1))\/(~(c2_1 X1))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c0_1 X32)\/((~(c1_1 X32))\/(~(c3_1 X32))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp10))) -> (~(c0_1 (a2))) -> (~(c3_1 (a2))) -> (c2_1 (a2)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c2_1 X44))))))\/(forall X45 : zenon_U, ((ndr1_0)->((~(c0_1 X45))\/((~(c2_1 X45))\/(~(c3_1 X45))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (~(c2_1 (a6))) -> (c1_1 (a6)) -> (c3_1 (a6)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((hskp9)\/(hskp24))) -> (~(hskp2)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c1_1 X14)\/((c2_1 X14)\/(~(c0_1 X14))))))\/((hskp2)\/(hskp14))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a33))/\((c3_1 (a33))/\(~(c0_1 (a33))))))) -> ((forall X36 : zenon_U, ((ndr1_0)->((c0_1 X36)\/((~(c2_1 X36))\/(~(c3_1 X36))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/(hskp11))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a10))/\((c2_1 (a10))/\(c3_1 (a10)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c2_1 X20)\/((~(c1_1 X20))\/(~(c3_1 X20))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c0_1 X27))\/((~(c1_1 X27))\/(~(c2_1 X27))))))\/(hskp19))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c3_1 X16)\/(~(c2_1 X16))))))\/((hskp25)\/(hskp26))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a9))/\((c1_1 (a9))/\(c2_1 (a9)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c3_1 X37)\/((~(c0_1 X37))\/(~(c2_1 X37))))))\/((hskp26)\/(hskp20))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a37))/\((~(c0_1 (a37)))/\(~(c3_1 (a37))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a19))/\((~(c1_1 (a19)))/\(~(c3_1 (a19))))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a18))/\((c2_1 (a18))/\(~(c3_1 (a18))))))) -> False). % 1.41/1.55 do 0 intro. intros zenon_H20e zenon_H215 zenon_H1f0 zenon_H20a zenon_H149 zenon_H2fd zenon_H304 zenon_H2fb zenon_Hdc zenon_Hd4 zenon_H1ff zenon_H1f8 zenon_H1a2 zenon_H112 zenon_H48 zenon_H177 zenon_H43 zenon_H2d7 zenon_H2d8 zenon_H2d9 zenon_Hd3 zenon_H95 zenon_H254 zenon_H255 zenon_H256 zenon_H7b zenon_Hfe zenon_H113 zenon_H17b zenon_H93 zenon_H1c1 zenon_H14a zenon_H1c2 zenon_H167 zenon_H1c6 zenon_H1da zenon_H213 zenon_H212. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H20e). zenon_intro zenon_H1a. zenon_intro zenon_H20f. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H20f). zenon_intro zenon_H117. zenon_intro zenon_H210. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H210). zenon_intro zenon_H115. zenon_intro zenon_H116. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H3 | zenon_intro zenon_H216 ]. % 1.41/1.55 apply (zenon_L1131_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_H1a. zenon_intro zenon_H21a. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_Heb. zenon_intro zenon_H21b. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_He9. zenon_intro zenon_Hea. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H2d | zenon_intro zenon_H217 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_H100 | zenon_intro zenon_H10d ]. % 1.41/1.55 apply (zenon_L74_); trivial. % 1.41/1.55 apply (zenon_L1471_); trivial. % 1.41/1.55 apply (zenon_L1138_); trivial. % 1.41/1.55 (* end of lemma zenon_L1472_ *) % 1.41/1.55 apply NNPP. intro zenon_G. % 1.41/1.55 apply zenon_G. zenon_intro zenon_H315. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H315). zenon_intro zenon_H317. zenon_intro zenon_H316. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H316). zenon_intro zenon_H319. zenon_intro zenon_H318. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H318). zenon_intro zenon_H31b. zenon_intro zenon_H31a. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H31a). zenon_intro zenon_H31d. zenon_intro zenon_H31c. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H31c). zenon_intro zenon_H31f. zenon_intro zenon_H31e. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H31e). zenon_intro zenon_H321. zenon_intro zenon_H320. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H320). zenon_intro zenon_H323. zenon_intro zenon_H322. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H322). zenon_intro zenon_H2f2. zenon_intro zenon_H324. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H324). zenon_intro zenon_H211. zenon_intro zenon_H325. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_H215. zenon_intro zenon_H326. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H212. zenon_intro zenon_H327. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H213. zenon_intro zenon_H328. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H328). zenon_intro zenon_H214. zenon_intro zenon_H329. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H329). zenon_intro zenon_H287. zenon_intro zenon_H32a. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H32a). zenon_intro zenon_H112. zenon_intro zenon_H32b. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H32b). zenon_intro zenon_H1a2. zenon_intro zenon_H32c. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H32c). zenon_intro zenon_H20a. zenon_intro zenon_H32d. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H32d). zenon_intro zenon_H9c. zenon_intro zenon_H32e. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H32e). zenon_intro zenon_H17a. zenon_intro zenon_H32f. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H32f). zenon_intro zenon_H17b. zenon_intro zenon_H330. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H330). zenon_intro zenon_H1da. zenon_intro zenon_H331. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H331). zenon_intro zenon_H166. zenon_intro zenon_H332. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H332). zenon_intro zenon_H334. zenon_intro zenon_H333. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H9d. zenon_intro zenon_H335. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H335). zenon_intro zenon_H48. zenon_intro zenon_H336. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H336). zenon_intro zenon_H167. zenon_intro zenon_H337. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H337). zenon_intro zenon_H1c1. zenon_intro zenon_H338. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H338). zenon_intro zenon_H97. zenon_intro zenon_H339. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H339). zenon_intro zenon_H277. zenon_intro zenon_H33a. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H33a). zenon_intro zenon_H63. zenon_intro zenon_H33b. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H33b). zenon_intro zenon_H177. zenon_intro zenon_H33c. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H33c). zenon_intro zenon_H162. zenon_intro zenon_H33d. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H33d). zenon_intro zenon_H1f8. zenon_intro zenon_H33e. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H33e). zenon_intro zenon_H95. zenon_intro zenon_H33f. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H33f). zenon_intro zenon_H1e0. zenon_intro zenon_H340. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H340). zenon_intro zenon_H10e. zenon_intro zenon_H341. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H341). zenon_intro zenon_H1a9. zenon_intro zenon_H342. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H342). zenon_intro zenon_H2a1. zenon_intro zenon_H343. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H343). zenon_intro zenon_H1ee. zenon_intro zenon_H344. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H344). zenon_intro zenon_Hdc. zenon_intro zenon_H345. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H345). zenon_intro zenon_H7d. zenon_intro zenon_H346. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H346). zenon_intro zenon_H1f0. zenon_intro zenon_H347. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H347). zenon_intro zenon_H1c2. zenon_intro zenon_H348. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H348). zenon_intro zenon_H1f2. zenon_intro zenon_H349. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H349). zenon_intro zenon_H299. zenon_intro zenon_H34a. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H34a). zenon_intro zenon_H1a3. zenon_intro zenon_H34b. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H34b). zenon_intro zenon_H42. zenon_intro zenon_H34c. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H34c). zenon_intro zenon_H43. zenon_intro zenon_H34d. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H34d). zenon_intro zenon_H93. zenon_intro zenon_H34e. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H34e). zenon_intro zenon_H5d. zenon_intro zenon_H34f. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H34f). zenon_intro zenon_H247. zenon_intro zenon_H350. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H350). zenon_intro zenon_H113. zenon_intro zenon_H351. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H351). zenon_intro zenon_H149. zenon_intro zenon_H352. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H352). zenon_intro zenon_Hd3. zenon_intro zenon_H353. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H353). zenon_intro zenon_H2ea. zenon_intro zenon_H354. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H354). zenon_intro zenon_Hb7. zenon_intro zenon_H355. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H355). zenon_intro zenon_Hfc. zenon_intro zenon_H356. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H356). zenon_intro zenon_H1ff. zenon_intro zenon_H357. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H357). zenon_intro zenon_H12a. zenon_intro zenon_H358. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H358). zenon_intro zenon_H14a. zenon_intro zenon_H359. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H359). zenon_intro zenon_H7b. zenon_intro zenon_H35a. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H35a). zenon_intro zenon_H1c6. zenon_intro zenon_H35b. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H35b). zenon_intro zenon_H2f. zenon_intro zenon_H35c. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H35c). zenon_intro zenon_H130. zenon_intro zenon_H35d. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H35d). zenon_intro zenon_H35f. zenon_intro zenon_H35e. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H35e). zenon_intro zenon_Hf. zenon_intro zenon_H360. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H360). zenon_intro zenon_H7. zenon_intro zenon_H17. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H317); [ zenon_intro zenon_H15 | zenon_intro zenon_H361 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H319); [ zenon_intro zenon_Hde | zenon_intro zenon_H362 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H31b); [ zenon_intro zenon_Hfe | zenon_intro zenon_H363 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H31d); [ zenon_intro zenon_H10b | zenon_intro zenon_H364 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H31f); [ zenon_intro zenon_Hd | zenon_intro zenon_H2f8 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H321); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H2f5 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H323); [ zenon_intro zenon_H2b | zenon_intro zenon_H2f1 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H1 | zenon_intro zenon_H2a6 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_Hb | zenon_intro zenon_H20e ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H3 | zenon_intro zenon_H216 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H2d | zenon_intro zenon_H217 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H91 | zenon_intro zenon_He5 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H214); [ zenon_intro zenon_H5b | zenon_intro zenon_H1fa ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H5 | zenon_intro zenon_H284 ]. % 1.41/1.55 apply (zenon_L4_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H284). zenon_intro zenon_H1a. zenon_intro zenon_H285. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_H80. zenon_intro zenon_H286. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H286). zenon_intro zenon_H89. zenon_intro zenon_H81. % 1.41/1.55 apply (zenon_L40_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H1fa). zenon_intro zenon_H1a. zenon_intro zenon_H1fb. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H1fb). zenon_intro zenon_Ha4. zenon_intro zenon_H1fc. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H1fc). zenon_intro zenon_Ha5. zenon_intro zenon_Ha6. % 1.41/1.55 apply (zenon_L43_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_He5). zenon_intro zenon_H1a. zenon_intro zenon_He6. % 1.41/1.55 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_Hb0. zenon_intro zenon_He7. % 1.41/1.55 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hae. zenon_intro zenon_Haf. % 1.41/1.55 apply (zenon_L45_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H1a. zenon_intro zenon_H218. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_He0. zenon_intro zenon_H219. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_Hc2. zenon_intro zenon_Hc1. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H91 | zenon_intro zenon_He5 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H5 | zenon_intro zenon_H284 ]. % 1.41/1.55 apply (zenon_L4_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H284). zenon_intro zenon_H1a. zenon_intro zenon_H285. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_H80. zenon_intro zenon_H286. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H286). zenon_intro zenon_H89. zenon_intro zenon_H81. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.41/1.55 apply (zenon_L8_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.41/1.55 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H13 | zenon_intro zenon_Ha1 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H11 | zenon_intro zenon_H41 ]. % 1.41/1.55 apply (zenon_L12_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H1a. zenon_intro zenon_H44. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H1d. zenon_intro zenon_H45. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H1e. zenon_intro zenon_H1f. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hd6 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hdd ]. % 1.41/1.55 apply (zenon_L46_); trivial. % 1.41/1.55 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hd5 ]. % 1.41/1.55 apply (zenon_L51_); trivial. % 1.41/1.55 exact (zenon_Hd4 zenon_Hd5). % 1.41/1.55 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H165 ]. % 1.41/1.55 apply (zenon_L55_); trivial. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H31 | zenon_intro zenon_Hdf ]. % 1.41/1.55 apply (zenon_L57_); trivial. % 1.41/1.55 exact (zenon_Hde zenon_Hdf). % 1.41/1.55 apply (zenon_L61_); trivial. % 1.41/1.55 apply (zenon_L62_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_H1a. zenon_intro zenon_H21a. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_Heb. zenon_intro zenon_H21b. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_He9. zenon_intro zenon_Hea. % 1.41/1.55 apply (zenon_L72_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H20e). zenon_intro zenon_H1a. zenon_intro zenon_H20f. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H20f). zenon_intro zenon_H117. zenon_intro zenon_H210. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H210). zenon_intro zenon_H115. zenon_intro zenon_H116. % 1.41/1.55 apply (zenon_L75_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H2a6). zenon_intro zenon_H1a. zenon_intro zenon_H2a7. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H2a7). zenon_intro zenon_H120. zenon_intro zenon_H2a8. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H2a8). zenon_intro zenon_H121. zenon_intro zenon_H11f. % 1.41/1.55 apply (zenon_L220_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H2f1). zenon_intro zenon_H1a. zenon_intro zenon_H2f3. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H2f3). zenon_intro zenon_H228. zenon_intro zenon_H2f4. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H2f4). zenon_intro zenon_H220. zenon_intro zenon_H21f. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H1 | zenon_intro zenon_H2a6 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_Hb | zenon_intro zenon_H20e ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H3 | zenon_intro zenon_H216 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H2d | zenon_intro zenon_H217 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H91 | zenon_intro zenon_He5 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H5 | zenon_intro zenon_H284 ]. % 1.41/1.55 apply (zenon_L4_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H284). zenon_intro zenon_H1a. zenon_intro zenon_H285. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_H80. zenon_intro zenon_H286. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H286). zenon_intro zenon_H89. zenon_intro zenon_H81. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H146 | zenon_intro zenon_H19f ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.41/1.55 apply (zenon_L8_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.41/1.55 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H13 | zenon_intro zenon_Ha1 ]. % 1.41/1.55 apply (zenon_L229_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H1a. zenon_intro zenon_Ha2. % 1.41/1.55 apply (zenon_and_s _ _ zenon_Ha2). zenon_intro zenon_H4d. zenon_intro zenon_Ha3. % 1.41/1.55 apply (zenon_and_s _ _ zenon_Ha3). zenon_intro zenon_H4a. zenon_intro zenon_H4c. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H4b | zenon_intro zenon_H64 ]. % 1.41/1.55 apply (zenon_L234_); trivial. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H5f | zenon_intro zenon_H16 ]. % 1.41/1.55 apply (zenon_L26_); trivial. % 1.41/1.55 exact (zenon_H15 zenon_H16). % 1.41/1.55 apply (zenon_L108_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H1a. zenon_intro zenon_H1a0. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H18f. zenon_intro zenon_H1a1. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H19a. zenon_intro zenon_H18e. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.41/1.55 apply (zenon_L8_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.41/1.55 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H13 | zenon_intro zenon_Ha1 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H11 | zenon_intro zenon_H41 ]. % 1.41/1.55 apply (zenon_L12_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H1a. zenon_intro zenon_H44. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H1d. zenon_intro zenon_H45. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H1e. zenon_intro zenon_H1f. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H1ee); [ zenon_intro zenon_H1e7 | zenon_intro zenon_H1ef ]. % 1.41/1.55 apply (zenon_L221_); trivial. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H3b | zenon_intro zenon_H6d ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H49 | zenon_intro zenon_H94 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_Had | zenon_intro zenon_Hcd ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfd ]. % 1.41/1.55 apply (zenon_L235_); trivial. % 1.41/1.55 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hf3 | zenon_intro zenon_Hcd ]. % 1.41/1.55 apply (zenon_L236_); trivial. % 1.41/1.55 apply (zenon_L49_); trivial. % 1.41/1.55 apply (zenon_L155_); trivial. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H8e | zenon_intro zenon_H92 ]. % 1.41/1.55 apply (zenon_L117_); trivial. % 1.41/1.55 exact (zenon_H91 zenon_H92). % 1.41/1.55 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H49 | zenon_intro zenon_H94 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_He8 | zenon_intro zenon_Hfd ]. % 1.41/1.55 apply (zenon_L235_); trivial. % 1.41/1.55 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hf3 | zenon_intro zenon_Hcd ]. % 1.41/1.55 apply (zenon_L225_); trivial. % 1.41/1.55 apply (zenon_L50_); trivial. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H8e | zenon_intro zenon_H92 ]. % 1.41/1.55 apply (zenon_L117_); trivial. % 1.41/1.55 exact (zenon_H91 zenon_H92). % 1.41/1.55 apply (zenon_L119_); trivial. % 1.41/1.55 apply (zenon_L108_); trivial. % 1.41/1.55 apply (zenon_L62_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H1a. zenon_intro zenon_H218. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_He0. zenon_intro zenon_H219. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_Hc2. zenon_intro zenon_Hc1. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H91 | zenon_intro zenon_He5 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.41/1.55 apply (zenon_L8_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.41/1.55 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H13 | zenon_intro zenon_Ha1 ]. % 1.41/1.55 apply (zenon_L241_); trivial. % 1.41/1.55 apply (zenon_L61_); trivial. % 1.41/1.55 apply (zenon_L153_); trivial. % 1.41/1.55 apply (zenon_L62_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_H1a. zenon_intro zenon_H21a. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_Heb. zenon_intro zenon_H21b. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_He9. zenon_intro zenon_Hea. % 1.41/1.55 apply (zenon_L72_); trivial. % 1.41/1.55 apply (zenon_L219_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H2a6). zenon_intro zenon_H1a. zenon_intro zenon_H2a7. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H2a7). zenon_intro zenon_H120. zenon_intro zenon_H2a8. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H2a8). zenon_intro zenon_H121. zenon_intro zenon_H11f. % 1.41/1.55 apply (zenon_L220_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H2f5). zenon_intro zenon_H1a. zenon_intro zenon_H2f6. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H2f6). zenon_intro zenon_H234. zenon_intro zenon_H2f7. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H2f7). zenon_intro zenon_H235. zenon_intro zenon_H233. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H1 | zenon_intro zenon_H2a6 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_Hb | zenon_intro zenon_H20e ]. % 1.41/1.55 apply (zenon_L251_); trivial. % 1.41/1.55 apply (zenon_L219_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H2a6). zenon_intro zenon_H1a. zenon_intro zenon_H2a7. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H2a7). zenon_intro zenon_H120. zenon_intro zenon_H2a8. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H2a8). zenon_intro zenon_H121. zenon_intro zenon_H11f. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_Hb | zenon_intro zenon_H20e ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H3 | zenon_intro zenon_H216 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H2d | zenon_intro zenon_H217 ]. % 1.41/1.55 apply (zenon_L245_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H1a. zenon_intro zenon_H218. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_He0. zenon_intro zenon_H219. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_Hc2. zenon_intro zenon_Hc1. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H91 | zenon_intro zenon_He5 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H5 | zenon_intro zenon_H284 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H146 | zenon_intro zenon_H19f ]. % 1.41/1.55 apply (zenon_L253_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H1a. zenon_intro zenon_H1a0. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H18f. zenon_intro zenon_H1a1. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H19a. zenon_intro zenon_H18e. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.41/1.55 apply (zenon_L8_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.41/1.55 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.41/1.55 apply (zenon_L257_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H1a. zenon_intro zenon_H1d8. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1d0. zenon_intro zenon_H1d9. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1ce. zenon_intro zenon_H1cf. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H13 | zenon_intro zenon_Ha1 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H11 | zenon_intro zenon_H41 ]. % 1.41/1.55 apply (zenon_L12_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H1a. zenon_intro zenon_H44. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H1d. zenon_intro zenon_H45. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H1e. zenon_intro zenon_H1f. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H12c | zenon_intro zenon_H148 ]. % 1.41/1.55 apply (zenon_L266_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H1a. zenon_intro zenon_H14b. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H13b. zenon_intro zenon_H14c. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H14c). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1be ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H98 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H1ee); [ zenon_intro zenon_H1e7 | zenon_intro zenon_H1ef ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H1ab | zenon_intro zenon_H1f1 ]. % 1.41/1.55 apply (zenon_L166_); trivial. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H1c ]. % 1.41/1.55 apply (zenon_L268_); trivial. % 1.41/1.55 apply (zenon_L83_); trivial. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H3b | zenon_intro zenon_H6d ]. % 1.41/1.55 apply (zenon_L260_); trivial. % 1.41/1.55 apply (zenon_L269_); trivial. % 1.41/1.55 apply (zenon_L264_); trivial. % 1.41/1.55 apply (zenon_L273_); trivial. % 1.41/1.55 apply (zenon_L275_); trivial. % 1.41/1.55 apply (zenon_L153_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H284). zenon_intro zenon_H1a. zenon_intro zenon_H285. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_H80. zenon_intro zenon_H286. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H286). zenon_intro zenon_H89. zenon_intro zenon_H81. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H146 | zenon_intro zenon_H19f ]. % 1.41/1.55 apply (zenon_L253_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H1a. zenon_intro zenon_H1a0. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H18f. zenon_intro zenon_H1a1. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H19a. zenon_intro zenon_H18e. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.41/1.55 apply (zenon_L8_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.41/1.55 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H13 | zenon_intro zenon_Ha1 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H11 | zenon_intro zenon_H41 ]. % 1.41/1.55 apply (zenon_L12_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H1a. zenon_intro zenon_H44. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H1d. zenon_intro zenon_H45. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H1e. zenon_intro zenon_H1f. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1be ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H98 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H1ee); [ zenon_intro zenon_H1e7 | zenon_intro zenon_H1ef ]. % 1.41/1.55 apply (zenon_L221_); trivial. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H3b | zenon_intro zenon_H6d ]. % 1.41/1.55 apply (zenon_L260_); trivial. % 1.41/1.55 apply (zenon_L269_); trivial. % 1.41/1.55 apply (zenon_L264_); trivial. % 1.41/1.55 apply (zenon_L256_); trivial. % 1.41/1.55 apply (zenon_L278_); trivial. % 1.41/1.55 apply (zenon_L159_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_He5). zenon_intro zenon_H1a. zenon_intro zenon_He6. % 1.41/1.55 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_Hb0. zenon_intro zenon_He7. % 1.41/1.55 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hae. zenon_intro zenon_Haf. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H146 | zenon_intro zenon_H19f ]. % 1.41/1.55 apply (zenon_L281_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H1a. zenon_intro zenon_H1a0. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H18f. zenon_intro zenon_H1a1. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H19a. zenon_intro zenon_H18e. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.41/1.55 apply (zenon_L191_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.41/1.55 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H13 | zenon_intro zenon_Ha1 ]. % 1.41/1.55 apply (zenon_L124_); trivial. % 1.41/1.55 apply (zenon_L275_); trivial. % 1.41/1.55 apply (zenon_L285_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_H1a. zenon_intro zenon_H21a. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_Heb. zenon_intro zenon_H21b. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_He9. zenon_intro zenon_Hea. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H2d | zenon_intro zenon_H217 ]. % 1.41/1.55 apply (zenon_L245_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H1a. zenon_intro zenon_H218. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_He0. zenon_intro zenon_H219. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_Hc2. zenon_intro zenon_Hc1. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H91 | zenon_intro zenon_He5 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H5 | zenon_intro zenon_H284 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_H100 | zenon_intro zenon_H10d ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H146 | zenon_intro zenon_H19f ]. % 1.41/1.55 apply (zenon_L253_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H1a. zenon_intro zenon_H1a0. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H18f. zenon_intro zenon_H1a1. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H19a. zenon_intro zenon_H18e. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.41/1.55 apply (zenon_L8_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.41/1.55 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.41/1.55 apply (zenon_L257_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H1a. zenon_intro zenon_H1d8. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1d0. zenon_intro zenon_H1d9. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1ce. zenon_intro zenon_H1cf. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H13 | zenon_intro zenon_Ha1 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H11 | zenon_intro zenon_H41 ]. % 1.41/1.55 apply (zenon_L12_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H1a. zenon_intro zenon_H44. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H1d. zenon_intro zenon_H45. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H1e. zenon_intro zenon_H1f. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H12c | zenon_intro zenon_H148 ]. % 1.41/1.55 apply (zenon_L266_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H1a. zenon_intro zenon_H14b. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H13b. zenon_intro zenon_H14c. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H14c). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1be ]. % 1.41/1.55 apply (zenon_L286_); trivial. % 1.41/1.55 apply (zenon_L273_); trivial. % 1.41/1.55 apply (zenon_L275_); trivial. % 1.41/1.55 apply (zenon_L153_); trivial. % 1.41/1.55 apply (zenon_L71_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H284). zenon_intro zenon_H1a. zenon_intro zenon_H285. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_H80. zenon_intro zenon_H286. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H286). zenon_intro zenon_H89. zenon_intro zenon_H81. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_H100 | zenon_intro zenon_H10d ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H146 | zenon_intro zenon_H19f ]. % 1.41/1.55 apply (zenon_L253_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H1a. zenon_intro zenon_H1a0. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H18f. zenon_intro zenon_H1a1. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H19a. zenon_intro zenon_H18e. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.41/1.55 apply (zenon_L8_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.41/1.55 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.41/1.55 apply (zenon_L288_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H1a. zenon_intro zenon_H1d8. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1d0. zenon_intro zenon_H1d9. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1ce. zenon_intro zenon_H1cf. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H13 | zenon_intro zenon_Ha1 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H11 | zenon_intro zenon_H41 ]. % 1.41/1.55 apply (zenon_L12_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H1a. zenon_intro zenon_H44. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H1d. zenon_intro zenon_H45. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H1e. zenon_intro zenon_H1f. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H12c | zenon_intro zenon_H148 ]. % 1.41/1.55 apply (zenon_L289_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H148). zenon_intro zenon_H1a. zenon_intro zenon_H14b. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H14b). zenon_intro zenon_H13b. zenon_intro zenon_H14c. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H14c). zenon_intro zenon_H13c. zenon_intro zenon_H13d. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1be ]. % 1.41/1.55 apply (zenon_L286_); trivial. % 1.41/1.55 apply (zenon_L287_); trivial. % 1.41/1.55 apply (zenon_L119_); trivial. % 1.41/1.55 apply (zenon_L153_); trivial. % 1.41/1.55 apply (zenon_L300_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_He5). zenon_intro zenon_H1a. zenon_intro zenon_He6. % 1.41/1.55 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_Hb0. zenon_intro zenon_He7. % 1.41/1.55 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hae. zenon_intro zenon_Haf. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_H100 | zenon_intro zenon_H10d ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H146 | zenon_intro zenon_H19f ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.41/1.55 apply (zenon_L303_); trivial. % 1.41/1.55 apply (zenon_L309_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H1a. zenon_intro zenon_H1a0. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H18f. zenon_intro zenon_H1a1. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H19a. zenon_intro zenon_H18e. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.41/1.55 apply (zenon_L191_); trivial. % 1.41/1.55 apply (zenon_L309_); trivial. % 1.41/1.55 apply (zenon_L317_); trivial. % 1.41/1.55 apply (zenon_L219_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H2f8). zenon_intro zenon_H1a. zenon_intro zenon_H2f9. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H2f9). zenon_intro zenon_H255. zenon_intro zenon_H2fa. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H2fa). zenon_intro zenon_H256. zenon_intro zenon_H254. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H321); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H2f5 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H1 | zenon_intro zenon_H2a6 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_Hb | zenon_intro zenon_H20e ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H3 | zenon_intro zenon_H216 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H2d | zenon_intro zenon_H217 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H91 | zenon_intro zenon_He5 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H5 | zenon_intro zenon_H284 ]. % 1.41/1.55 apply (zenon_L4_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H284). zenon_intro zenon_H1a. zenon_intro zenon_H285. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_H80. zenon_intro zenon_H286. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H286). zenon_intro zenon_H89. zenon_intro zenon_H81. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.41/1.55 apply (zenon_L328_); trivial. % 1.41/1.55 apply (zenon_L336_); trivial. % 1.41/1.55 apply (zenon_L62_); trivial. % 1.41/1.55 apply (zenon_L350_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_H1a. zenon_intro zenon_H21a. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_Heb. zenon_intro zenon_H21b. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_He9. zenon_intro zenon_Hea. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H2d | zenon_intro zenon_H217 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H91 | zenon_intro zenon_He5 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H5 | zenon_intro zenon_H284 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_H100 | zenon_intro zenon_H10d ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H146 | zenon_intro zenon_H19f ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H20a); [ zenon_intro zenon_H1fd | zenon_intro zenon_H20b ]. % 1.41/1.55 apply (zenon_L196_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H20b). zenon_intro zenon_H1a. zenon_intro zenon_H20c. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H20c). zenon_intro zenon_H203. zenon_intro zenon_H20d. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H20d). zenon_intro zenon_H201. zenon_intro zenon_H202. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.41/1.55 apply (zenon_L357_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.41/1.55 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H13 | zenon_intro zenon_Ha1 ]. % 1.41/1.55 apply (zenon_L359_); trivial. % 1.41/1.55 apply (zenon_L362_); trivial. % 1.41/1.55 apply (zenon_L374_); trivial. % 1.41/1.55 apply (zenon_L108_); trivial. % 1.41/1.55 apply (zenon_L382_); trivial. % 1.41/1.55 apply (zenon_L71_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H284). zenon_intro zenon_H1a. zenon_intro zenon_H285. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_H80. zenon_intro zenon_H286. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H286). zenon_intro zenon_H89. zenon_intro zenon_H81. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_H100 | zenon_intro zenon_H10d ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H146 | zenon_intro zenon_H19f ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H20a); [ zenon_intro zenon_H1fd | zenon_intro zenon_H20b ]. % 1.41/1.55 apply (zenon_L196_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H20b). zenon_intro zenon_H1a. zenon_intro zenon_H20c. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H20c). zenon_intro zenon_H203. zenon_intro zenon_H20d. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H20d). zenon_intro zenon_H201. zenon_intro zenon_H202. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.41/1.55 apply (zenon_L357_); trivial. % 1.41/1.55 apply (zenon_L386_); trivial. % 1.41/1.55 apply (zenon_L388_); trivial. % 1.41/1.55 apply (zenon_L71_); trivial. % 1.41/1.55 apply (zenon_L62_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H1a. zenon_intro zenon_H218. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_He0. zenon_intro zenon_H219. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_Hc2. zenon_intro zenon_Hc1. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H91 | zenon_intro zenon_He5 ]. % 1.41/1.55 apply (zenon_L396_); trivial. % 1.41/1.55 apply (zenon_L62_); trivial. % 1.41/1.55 apply (zenon_L219_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H2a6). zenon_intro zenon_H1a. zenon_intro zenon_H2a7. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H2a7). zenon_intro zenon_H120. zenon_intro zenon_H2a8. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H2a8). zenon_intro zenon_H121. zenon_intro zenon_H11f. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_Hb | zenon_intro zenon_H20e ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H3 | zenon_intro zenon_H216 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H2d | zenon_intro zenon_H217 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H91 | zenon_intro zenon_He5 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H5 | zenon_intro zenon_H284 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H146 | zenon_intro zenon_H19f ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.41/1.55 apply (zenon_L94_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.41/1.55 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.41/1.55 apply (zenon_L410_); trivial. % 1.41/1.55 apply (zenon_L108_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H1a. zenon_intro zenon_H1a0. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H18f. zenon_intro zenon_H1a1. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H19a. zenon_intro zenon_H18e. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.41/1.55 apply (zenon_L411_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.41/1.55 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.41/1.55 apply (zenon_L413_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H1a. zenon_intro zenon_H1d8. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1d0. zenon_intro zenon_H1d9. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1ce. zenon_intro zenon_H1cf. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H13 | zenon_intro zenon_Ha1 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H11 | zenon_intro zenon_H41 ]. % 1.41/1.55 apply (zenon_L12_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H1a. zenon_intro zenon_H44. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H1d. zenon_intro zenon_H45. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H1e. zenon_intro zenon_H1f. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H12c | zenon_intro zenon_H148 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1be ]. % 1.41/1.55 apply (zenon_L363_); trivial. % 1.41/1.55 apply (zenon_L412_); trivial. % 1.41/1.55 apply (zenon_L319_); trivial. % 1.41/1.55 apply (zenon_L119_); trivial. % 1.41/1.55 apply (zenon_L159_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H284). zenon_intro zenon_H1a. zenon_intro zenon_H285. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_H80. zenon_intro zenon_H286. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H286). zenon_intro zenon_H89. zenon_intro zenon_H81. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H146 | zenon_intro zenon_H19f ]. % 1.41/1.55 apply (zenon_L415_); trivial. % 1.41/1.55 apply (zenon_L416_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_He5). zenon_intro zenon_H1a. zenon_intro zenon_He6. % 1.41/1.55 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_Hb0. zenon_intro zenon_He7. % 1.41/1.55 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hae. zenon_intro zenon_Haf. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.41/1.55 apply (zenon_L411_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.41/1.55 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.41/1.55 apply (zenon_L419_); trivial. % 1.41/1.55 apply (zenon_L147_); trivial. % 1.41/1.55 apply (zenon_L350_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_H1a. zenon_intro zenon_H21a. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_Heb. zenon_intro zenon_H21b. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_He9. zenon_intro zenon_Hea. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H2d | zenon_intro zenon_H217 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H91 | zenon_intro zenon_He5 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H5 | zenon_intro zenon_H284 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_H100 | zenon_intro zenon_H10d ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H146 | zenon_intro zenon_H19f ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H20a); [ zenon_intro zenon_H1fd | zenon_intro zenon_H20b ]. % 1.41/1.55 apply (zenon_L196_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H20b). zenon_intro zenon_H1a. zenon_intro zenon_H20c. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H20c). zenon_intro zenon_H203. zenon_intro zenon_H20d. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H20d). zenon_intro zenon_H201. zenon_intro zenon_H202. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.41/1.55 apply (zenon_L411_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.41/1.55 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H13 | zenon_intro zenon_Ha1 ]. % 1.41/1.55 apply (zenon_L420_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H1a. zenon_intro zenon_Ha2. % 1.41/1.55 apply (zenon_and_s _ _ zenon_Ha2). zenon_intro zenon_H4d. zenon_intro zenon_Ha3. % 1.41/1.55 apply (zenon_and_s _ _ zenon_Ha3). zenon_intro zenon_H4a. zenon_intro zenon_H4c. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H4b | zenon_intro zenon_H64 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H65 | zenon_intro zenon_H1e1 ]. % 1.41/1.55 apply (zenon_L361_); trivial. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H3b | zenon_intro zenon_Hf3 ]. % 1.41/1.55 apply (zenon_L421_); trivial. % 1.41/1.55 apply (zenon_L163_); trivial. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H5f | zenon_intro zenon_H16 ]. % 1.41/1.55 apply (zenon_L26_); trivial. % 1.41/1.55 exact (zenon_H15 zenon_H16). % 1.41/1.55 apply (zenon_L374_); trivial. % 1.41/1.55 apply (zenon_L164_); trivial. % 1.41/1.55 apply (zenon_L382_); trivial. % 1.41/1.55 apply (zenon_L71_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H284). zenon_intro zenon_H1a. zenon_intro zenon_H285. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_H80. zenon_intro zenon_H286. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H286). zenon_intro zenon_H89. zenon_intro zenon_H81. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_H100 | zenon_intro zenon_H10d ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H146 | zenon_intro zenon_H19f ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H20a); [ zenon_intro zenon_H1fd | zenon_intro zenon_H20b ]. % 1.41/1.55 apply (zenon_L196_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H20b). zenon_intro zenon_H1a. zenon_intro zenon_H20c. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H20c). zenon_intro zenon_H203. zenon_intro zenon_H20d. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H20d). zenon_intro zenon_H201. zenon_intro zenon_H202. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.41/1.55 apply (zenon_L94_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.41/1.55 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H13 | zenon_intro zenon_Ha1 ]. % 1.41/1.55 apply (zenon_L422_); trivial. % 1.41/1.55 apply (zenon_L385_); trivial. % 1.41/1.55 apply (zenon_L335_); trivial. % 1.41/1.55 apply (zenon_L388_); trivial. % 1.41/1.55 apply (zenon_L431_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_He5). zenon_intro zenon_H1a. zenon_intro zenon_He6. % 1.41/1.55 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_Hb0. zenon_intro zenon_He7. % 1.41/1.55 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hae. zenon_intro zenon_Haf. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H214); [ zenon_intro zenon_H5b | zenon_intro zenon_H1fa ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_H100 | zenon_intro zenon_H10d ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.41/1.55 apply (zenon_L411_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.41/1.55 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.41/1.55 apply (zenon_L142_); trivial. % 1.41/1.55 apply (zenon_L435_); trivial. % 1.41/1.55 apply (zenon_L437_); trivial. % 1.41/1.55 apply (zenon_L71_); trivial. % 1.41/1.55 apply (zenon_L193_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H1a. zenon_intro zenon_H218. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_He0. zenon_intro zenon_H219. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_Hc2. zenon_intro zenon_Hc1. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H91 | zenon_intro zenon_He5 ]. % 1.41/1.55 apply (zenon_L396_); trivial. % 1.41/1.55 apply (zenon_L439_); trivial. % 1.41/1.55 apply (zenon_L219_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H2f5). zenon_intro zenon_H1a. zenon_intro zenon_H2f6. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H2f6). zenon_intro zenon_H234. zenon_intro zenon_H2f7. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H2f7). zenon_intro zenon_H235. zenon_intro zenon_H233. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H1 | zenon_intro zenon_H2a6 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_Hb | zenon_intro zenon_H20e ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H3 | zenon_intro zenon_H216 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H2d | zenon_intro zenon_H217 ]. % 1.41/1.55 apply (zenon_L444_); trivial. % 1.41/1.55 apply (zenon_L445_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_H1a. zenon_intro zenon_H21a. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_Heb. zenon_intro zenon_H21b. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_He9. zenon_intro zenon_Hea. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H2d | zenon_intro zenon_H217 ]. % 1.41/1.55 apply (zenon_L465_); trivial. % 1.41/1.55 apply (zenon_L445_); trivial. % 1.41/1.55 apply (zenon_L219_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H2a6). zenon_intro zenon_H1a. zenon_intro zenon_H2a7. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H2a7). zenon_intro zenon_H120. zenon_intro zenon_H2a8. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H2a8). zenon_intro zenon_H121. zenon_intro zenon_H11f. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_Hb | zenon_intro zenon_H20e ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H3 | zenon_intro zenon_H216 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H2d | zenon_intro zenon_H217 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H91 | zenon_intro zenon_He5 ]. % 1.41/1.55 apply (zenon_L475_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_He5). zenon_intro zenon_H1a. zenon_intro zenon_He6. % 1.41/1.55 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_Hb0. zenon_intro zenon_He7. % 1.41/1.55 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hae. zenon_intro zenon_Haf. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.41/1.55 apply (zenon_L468_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.41/1.55 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.41/1.55 apply (zenon_L477_); trivial. % 1.41/1.55 apply (zenon_L441_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H1a. zenon_intro zenon_H218. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_He0. zenon_intro zenon_H219. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_Hc2. zenon_intro zenon_Hc1. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H91 | zenon_intro zenon_He5 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H146 | zenon_intro zenon_H19f ]. % 1.41/1.55 apply (zenon_L480_); trivial. % 1.41/1.55 apply (zenon_L483_); trivial. % 1.41/1.55 apply (zenon_L349_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_H1a. zenon_intro zenon_H21a. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_Heb. zenon_intro zenon_H21b. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_He9. zenon_intro zenon_Hea. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H2d | zenon_intro zenon_H217 ]. % 1.41/1.55 apply (zenon_L489_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H1a. zenon_intro zenon_H218. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_He0. zenon_intro zenon_H219. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_Hc2. zenon_intro zenon_Hc1. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H91 | zenon_intro zenon_He5 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H214); [ zenon_intro zenon_H5b | zenon_intro zenon_H1fa ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_H100 | zenon_intro zenon_H10d ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.41/1.55 apply (zenon_L392_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.41/1.55 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.41/1.55 apply (zenon_L339_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H1a. zenon_intro zenon_H1d8. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1d0. zenon_intro zenon_H1d9. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1ce. zenon_intro zenon_H1cf. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H13 | zenon_intro zenon_Ha1 ]. % 1.41/1.55 apply (zenon_L482_); trivial. % 1.41/1.55 apply (zenon_L394_); trivial. % 1.41/1.55 apply (zenon_L153_); trivial. % 1.41/1.55 apply (zenon_L71_); trivial. % 1.41/1.55 apply (zenon_L395_); trivial. % 1.41/1.55 apply (zenon_L439_); trivial. % 1.41/1.55 apply (zenon_L219_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H364). zenon_intro zenon_H1a. zenon_intro zenon_H365. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H365). zenon_intro zenon_H288. zenon_intro zenon_H366. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H366). zenon_intro zenon_H289. zenon_intro zenon_H29c. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H31f); [ zenon_intro zenon_Hd | zenon_intro zenon_H2f8 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H321); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H2f5 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H323); [ zenon_intro zenon_H2b | zenon_intro zenon_H2f1 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H1 | zenon_intro zenon_H2a6 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_Hb | zenon_intro zenon_H20e ]. % 1.41/1.55 apply (zenon_L505_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H20e). zenon_intro zenon_H1a. zenon_intro zenon_H20f. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H20f). zenon_intro zenon_H117. zenon_intro zenon_H210. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H210). zenon_intro zenon_H115. zenon_intro zenon_H116. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H2d | zenon_intro zenon_H217 ]. % 1.41/1.55 apply (zenon_L514_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H1a. zenon_intro zenon_H218. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_He0. zenon_intro zenon_H219. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_Hc2. zenon_intro zenon_Hc1. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H91 | zenon_intro zenon_He5 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_H100 | zenon_intro zenon_H10d ]. % 1.41/1.55 apply (zenon_L74_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_H1a. zenon_intro zenon_H10f. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H104. zenon_intro zenon_H110. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_H102. zenon_intro zenon_H103. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H13 | zenon_intro zenon_Ha1 ]. % 1.41/1.55 apply (zenon_L521_); trivial. % 1.41/1.55 apply (zenon_L511_); trivial. % 1.41/1.55 apply (zenon_L153_); trivial. % 1.41/1.55 apply (zenon_L62_); trivial. % 1.41/1.55 apply (zenon_L581_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H2f1). zenon_intro zenon_H1a. zenon_intro zenon_H2f3. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H2f3). zenon_intro zenon_H228. zenon_intro zenon_H2f4. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H2f4). zenon_intro zenon_H220. zenon_intro zenon_H21f. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H1 | zenon_intro zenon_H2a6 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_Hb | zenon_intro zenon_H20e ]. % 1.41/1.55 apply (zenon_L505_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H20e). zenon_intro zenon_H1a. zenon_intro zenon_H20f. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H20f). zenon_intro zenon_H117. zenon_intro zenon_H210. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H210). zenon_intro zenon_H115. zenon_intro zenon_H116. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H3 | zenon_intro zenon_H216 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H5 | zenon_intro zenon_H284 ]. % 1.41/1.55 apply (zenon_L4_); trivial. % 1.41/1.55 apply (zenon_L583_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_H1a. zenon_intro zenon_H21a. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_Heb. zenon_intro zenon_H21b. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_He9. zenon_intro zenon_Hea. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H2d | zenon_intro zenon_H217 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H91 | zenon_intro zenon_He5 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H5 | zenon_intro zenon_H284 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_H100 | zenon_intro zenon_H10d ]. % 1.41/1.55 apply (zenon_L74_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_H1a. zenon_intro zenon_H10f. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H104. zenon_intro zenon_H110. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_H102. zenon_intro zenon_H103. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H146 | zenon_intro zenon_H19f ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H20a); [ zenon_intro zenon_H1fd | zenon_intro zenon_H20b ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.41/1.55 apply (zenon_L588_); trivial. % 1.41/1.55 apply (zenon_L570_); trivial. % 1.41/1.55 apply (zenon_L589_); trivial. % 1.41/1.55 apply (zenon_L596_); trivial. % 1.41/1.55 apply (zenon_L583_); trivial. % 1.41/1.55 apply (zenon_L62_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H1a. zenon_intro zenon_H218. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_He0. zenon_intro zenon_H219. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_Hc2. zenon_intro zenon_Hc1. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H91 | zenon_intro zenon_He5 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H5 | zenon_intro zenon_H284 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_H100 | zenon_intro zenon_H10d ]. % 1.41/1.55 apply (zenon_L74_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_H1a. zenon_intro zenon_H10f. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H104. zenon_intro zenon_H110. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_H102. zenon_intro zenon_H103. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H20a); [ zenon_intro zenon_H1fd | zenon_intro zenon_H20b ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H128 | zenon_intro zenon_H17c ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H13 | zenon_intro zenon_Ha1 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H11 | zenon_intro zenon_H41 ]. % 1.41/1.55 apply (zenon_L12_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H1a. zenon_intro zenon_H44. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H1d. zenon_intro zenon_H45. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H1e. zenon_intro zenon_H1f. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1be ]. % 1.41/1.55 apply (zenon_L197_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H1a. zenon_intro zenon_H1bf. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H1bf). zenon_intro zenon_H1b5. zenon_intro zenon_H1c0. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H1c0). zenon_intro zenon_H1b6. zenon_intro zenon_H1b7. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H49 | zenon_intro zenon_H94 ]. % 1.41/1.55 apply (zenon_L590_); trivial. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H8e | zenon_intro zenon_H92 ]. % 1.41/1.55 apply (zenon_L59_); trivial. % 1.41/1.55 exact (zenon_H91 zenon_H92). % 1.41/1.55 apply (zenon_L511_); trivial. % 1.41/1.55 apply (zenon_L597_); trivial. % 1.41/1.55 apply (zenon_L153_); trivial. % 1.41/1.55 apply (zenon_L557_); trivial. % 1.41/1.55 apply (zenon_L570_); trivial. % 1.41/1.55 apply (zenon_L598_); trivial. % 1.41/1.55 apply (zenon_L583_); trivial. % 1.41/1.55 apply (zenon_L62_); trivial. % 1.41/1.55 apply (zenon_L581_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H2f5). zenon_intro zenon_H1a. zenon_intro zenon_H2f6. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H2f6). zenon_intro zenon_H234. zenon_intro zenon_H2f7. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H2f7). zenon_intro zenon_H235. zenon_intro zenon_H233. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H1 | zenon_intro zenon_H2a6 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_Hb | zenon_intro zenon_H20e ]. % 1.41/1.55 apply (zenon_L251_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H20e). zenon_intro zenon_H1a. zenon_intro zenon_H20f. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H20f). zenon_intro zenon_H117. zenon_intro zenon_H210. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H210). zenon_intro zenon_H115. zenon_intro zenon_H116. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H3 | zenon_intro zenon_H216 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H2d | zenon_intro zenon_H217 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H5 | zenon_intro zenon_H284 ]. % 1.41/1.55 apply (zenon_L4_); trivial. % 1.41/1.55 apply (zenon_L600_); trivial. % 1.41/1.55 apply (zenon_L604_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_H1a. zenon_intro zenon_H21a. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_Heb. zenon_intro zenon_H21b. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_He9. zenon_intro zenon_Hea. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H2d | zenon_intro zenon_H217 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H91 | zenon_intro zenon_He5 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_H100 | zenon_intro zenon_H10d ]. % 1.41/1.55 apply (zenon_L74_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_H1a. zenon_intro zenon_H10f. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H104. zenon_intro zenon_H110. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_H102. zenon_intro zenon_H103. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H128 | zenon_intro zenon_H17c ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.41/1.55 apply (zenon_L609_); trivial. % 1.41/1.55 apply (zenon_L595_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H17c). zenon_intro zenon_H1a. zenon_intro zenon_H17d. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H17d). zenon_intro zenon_H14f. zenon_intro zenon_H17e. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_H150. zenon_intro zenon_H151. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.41/1.55 apply (zenon_L609_); trivial. % 1.41/1.55 apply (zenon_L466_); trivial. % 1.41/1.55 apply (zenon_L244_); trivial. % 1.41/1.55 apply (zenon_L62_); trivial. % 1.41/1.55 apply (zenon_L604_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H2a6). zenon_intro zenon_H1a. zenon_intro zenon_H2a7. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H2a7). zenon_intro zenon_H120. zenon_intro zenon_H2a8. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H2a8). zenon_intro zenon_H121. zenon_intro zenon_H11f. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_Hb | zenon_intro zenon_H20e ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H2d | zenon_intro zenon_H217 ]. % 1.41/1.55 apply (zenon_L245_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H1a. zenon_intro zenon_H218. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_He0. zenon_intro zenon_H219. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_Hc2. zenon_intro zenon_Hc1. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H91 | zenon_intro zenon_He5 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_H100 | zenon_intro zenon_H10d ]. % 1.41/1.55 apply (zenon_L494_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_H1a. zenon_intro zenon_H10f. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H104. zenon_intro zenon_H110. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_H102. zenon_intro zenon_H103. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H146 | zenon_intro zenon_H19f ]. % 1.41/1.55 apply (zenon_L253_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H1a. zenon_intro zenon_H1a0. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H18f. zenon_intro zenon_H1a1. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H19a. zenon_intro zenon_H18e. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.41/1.55 apply (zenon_L8_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.41/1.55 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.41/1.55 apply (zenon_L611_); trivial. % 1.41/1.55 apply (zenon_L612_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_He5). zenon_intro zenon_H1a. zenon_intro zenon_He6. % 1.41/1.55 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_Hb0. zenon_intro zenon_He7. % 1.41/1.55 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hae. zenon_intro zenon_Haf. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_H100 | zenon_intro zenon_H10d ]. % 1.41/1.55 apply (zenon_L494_); trivial. % 1.41/1.55 apply (zenon_L317_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H20e). zenon_intro zenon_H1a. zenon_intro zenon_H20f. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H20f). zenon_intro zenon_H117. zenon_intro zenon_H210. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H210). zenon_intro zenon_H115. zenon_intro zenon_H116. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H2d | zenon_intro zenon_H217 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H91 | zenon_intro zenon_He5 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_H100 | zenon_intro zenon_H10d ]. % 1.41/1.55 apply (zenon_L74_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_H1a. zenon_intro zenon_H10f. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H104. zenon_intro zenon_H110. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_H102. zenon_intro zenon_H103. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H146 | zenon_intro zenon_H19f ]. % 1.41/1.55 apply (zenon_L614_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H1a. zenon_intro zenon_H1a0. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H18f. zenon_intro zenon_H1a1. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H19a. zenon_intro zenon_H18e. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.41/1.55 apply (zenon_L618_); trivial. % 1.41/1.55 apply (zenon_L244_); trivial. % 1.41/1.55 apply (zenon_L619_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H1a. zenon_intro zenon_H218. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_He0. zenon_intro zenon_H219. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_Hc2. zenon_intro zenon_Hc1. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H91 | zenon_intro zenon_He5 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H5 | zenon_intro zenon_H284 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_H100 | zenon_intro zenon_H10d ]. % 1.41/1.55 apply (zenon_L74_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_H1a. zenon_intro zenon_H10f. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H104. zenon_intro zenon_H110. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_H102. zenon_intro zenon_H103. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H146 | zenon_intro zenon_H19f ]. % 1.41/1.55 apply (zenon_L253_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H1a. zenon_intro zenon_H1a0. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H18f. zenon_intro zenon_H1a1. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H19a. zenon_intro zenon_H18e. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.41/1.55 apply (zenon_L621_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.41/1.55 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.41/1.55 apply (zenon_L611_); trivial. % 1.41/1.55 apply (zenon_L623_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H284). zenon_intro zenon_H1a. zenon_intro zenon_H285. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_H80. zenon_intro zenon_H286. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H286). zenon_intro zenon_H89. zenon_intro zenon_H81. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_H100 | zenon_intro zenon_H10d ]. % 1.41/1.55 apply (zenon_L74_); trivial. % 1.41/1.55 apply (zenon_L624_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_He5). zenon_intro zenon_H1a. zenon_intro zenon_He6. % 1.41/1.55 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_Hb0. zenon_intro zenon_He7. % 1.41/1.55 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hae. zenon_intro zenon_Haf. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_H100 | zenon_intro zenon_H10d ]. % 1.41/1.55 apply (zenon_L74_); trivial. % 1.41/1.55 apply (zenon_L317_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H2f8). zenon_intro zenon_H1a. zenon_intro zenon_H2f9. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H2f9). zenon_intro zenon_H255. zenon_intro zenon_H2fa. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H2fa). zenon_intro zenon_H256. zenon_intro zenon_H254. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H1 | zenon_intro zenon_H2a6 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_Hb | zenon_intro zenon_H20e ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H3 | zenon_intro zenon_H216 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H2d | zenon_intro zenon_H217 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H91 | zenon_intro zenon_He5 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H5 | zenon_intro zenon_H284 ]. % 1.41/1.55 apply (zenon_L4_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H284). zenon_intro zenon_H1a. zenon_intro zenon_H285. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_H80. zenon_intro zenon_H286. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H286). zenon_intro zenon_H89. zenon_intro zenon_H81. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_H100 | zenon_intro zenon_H10d ]. % 1.41/1.55 apply (zenon_L625_); trivial. % 1.41/1.55 apply (zenon_L627_); trivial. % 1.41/1.55 apply (zenon_L62_); trivial. % 1.41/1.55 apply (zenon_L632_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_H1a. zenon_intro zenon_H21a. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_Heb. zenon_intro zenon_H21b. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_He9. zenon_intro zenon_Hea. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H2d | zenon_intro zenon_H217 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H91 | zenon_intro zenon_He5 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H5 | zenon_intro zenon_H284 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_H100 | zenon_intro zenon_H10d ]. % 1.41/1.55 apply (zenon_L633_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_H1a. zenon_intro zenon_H10f. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H104. zenon_intro zenon_H110. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_H102. zenon_intro zenon_H103. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H20a); [ zenon_intro zenon_H1fd | zenon_intro zenon_H20b ]. % 1.41/1.55 apply (zenon_L636_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H20b). zenon_intro zenon_H1a. zenon_intro zenon_H20c. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H20c). zenon_intro zenon_H203. zenon_intro zenon_H20d. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H20d). zenon_intro zenon_H201. zenon_intro zenon_H202. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.41/1.55 apply (zenon_L634_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.41/1.55 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.41/1.55 apply (zenon_L637_); trivial. % 1.41/1.55 apply (zenon_L641_); trivial. % 1.41/1.55 apply (zenon_L643_); trivial. % 1.41/1.55 apply (zenon_L645_); trivial. % 1.41/1.55 apply (zenon_L62_); trivial. % 1.41/1.55 apply (zenon_L649_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H20e). zenon_intro zenon_H1a. zenon_intro zenon_H20f. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H20f). zenon_intro zenon_H117. zenon_intro zenon_H210. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H210). zenon_intro zenon_H115. zenon_intro zenon_H116. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H3 | zenon_intro zenon_H216 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H2d | zenon_intro zenon_H217 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H91 | zenon_intro zenon_He5 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H5 | zenon_intro zenon_H284 ]. % 1.41/1.55 apply (zenon_L4_); trivial. % 1.41/1.55 apply (zenon_L650_); trivial. % 1.41/1.55 apply (zenon_L62_); trivial. % 1.41/1.55 apply (zenon_L651_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_H1a. zenon_intro zenon_H21a. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_Heb. zenon_intro zenon_H21b. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_He9. zenon_intro zenon_Hea. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H2d | zenon_intro zenon_H217 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H91 | zenon_intro zenon_He5 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H5 | zenon_intro zenon_H284 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_H100 | zenon_intro zenon_H10d ]. % 1.41/1.55 apply (zenon_L74_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_H1a. zenon_intro zenon_H10f. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H104. zenon_intro zenon_H110. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_H102. zenon_intro zenon_H103. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H20a); [ zenon_intro zenon_H1fd | zenon_intro zenon_H20b ]. % 1.41/1.55 apply (zenon_L636_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H20b). zenon_intro zenon_H1a. zenon_intro zenon_H20c. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H20c). zenon_intro zenon_H203. zenon_intro zenon_H20d. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H20d). zenon_intro zenon_H201. zenon_intro zenon_H202. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.41/1.55 apply (zenon_L634_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.41/1.55 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.41/1.55 apply (zenon_L653_); trivial. % 1.41/1.55 apply (zenon_L641_); trivial. % 1.41/1.55 apply (zenon_L623_); trivial. % 1.41/1.55 apply (zenon_L650_); trivial. % 1.41/1.55 apply (zenon_L62_); trivial. % 1.41/1.55 apply (zenon_L649_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H2a6). zenon_intro zenon_H1a. zenon_intro zenon_H2a7. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H2a7). zenon_intro zenon_H120. zenon_intro zenon_H2a8. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H2a8). zenon_intro zenon_H121. zenon_intro zenon_H11f. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_Hb | zenon_intro zenon_H20e ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H3 | zenon_intro zenon_H216 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H2d | zenon_intro zenon_H217 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H91 | zenon_intro zenon_He5 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H5 | zenon_intro zenon_H284 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_H100 | zenon_intro zenon_H10d ]. % 1.41/1.55 apply (zenon_L654_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_H1a. zenon_intro zenon_H10f. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H104. zenon_intro zenon_H110. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_H102. zenon_intro zenon_H103. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H146 | zenon_intro zenon_H19f ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.41/1.55 apply (zenon_L411_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.41/1.55 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.41/1.55 apply (zenon_L410_); trivial. % 1.41/1.55 apply (zenon_L525_); trivial. % 1.41/1.55 apply (zenon_L655_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H284). zenon_intro zenon_H1a. zenon_intro zenon_H285. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_H80. zenon_intro zenon_H286. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H286). zenon_intro zenon_H89. zenon_intro zenon_H81. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_H100 | zenon_intro zenon_H10d ]. % 1.41/1.55 apply (zenon_L654_); trivial. % 1.41/1.55 apply (zenon_L431_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_He5). zenon_intro zenon_H1a. zenon_intro zenon_He6. % 1.41/1.55 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_Hb0. zenon_intro zenon_He7. % 1.41/1.55 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hae. zenon_intro zenon_Haf. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_H100 | zenon_intro zenon_H10d ]. % 1.41/1.55 apply (zenon_L654_); trivial. % 1.41/1.55 apply (zenon_L665_); trivial. % 1.41/1.55 apply (zenon_L632_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_H1a. zenon_intro zenon_H21a. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_Heb. zenon_intro zenon_H21b. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_He9. zenon_intro zenon_Hea. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H2d | zenon_intro zenon_H217 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H91 | zenon_intro zenon_He5 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H5 | zenon_intro zenon_H284 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_H100 | zenon_intro zenon_H10d ]. % 1.41/1.55 apply (zenon_L654_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_H1a. zenon_intro zenon_H10f. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H104. zenon_intro zenon_H110. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_H102. zenon_intro zenon_H103. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H146 | zenon_intro zenon_H19f ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H20a); [ zenon_intro zenon_H1fd | zenon_intro zenon_H20b ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.41/1.55 apply (zenon_L411_); trivial. % 1.41/1.55 apply (zenon_L635_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H20b). zenon_intro zenon_H1a. zenon_intro zenon_H20c. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H20c). zenon_intro zenon_H203. zenon_intro zenon_H20d. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H20d). zenon_intro zenon_H201. zenon_intro zenon_H202. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.41/1.55 apply (zenon_L94_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.41/1.55 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.41/1.55 apply (zenon_L637_); trivial. % 1.41/1.55 apply (zenon_L666_); trivial. % 1.41/1.55 apply (zenon_L643_); trivial. % 1.41/1.55 apply (zenon_L670_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H284). zenon_intro zenon_H1a. zenon_intro zenon_H285. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_H80. zenon_intro zenon_H286. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H286). zenon_intro zenon_H89. zenon_intro zenon_H81. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_H100 | zenon_intro zenon_H10d ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H20a); [ zenon_intro zenon_H1fd | zenon_intro zenon_H20b ]. % 1.41/1.55 apply (zenon_L196_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H20b). zenon_intro zenon_H1a. zenon_intro zenon_H20c. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H20c). zenon_intro zenon_H203. zenon_intro zenon_H20d. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H20d). zenon_intro zenon_H201. zenon_intro zenon_H202. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.41/1.55 apply (zenon_L411_); trivial. % 1.41/1.55 apply (zenon_L644_); trivial. % 1.41/1.55 apply (zenon_L431_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_He5). zenon_intro zenon_H1a. zenon_intro zenon_He6. % 1.41/1.55 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_Hb0. zenon_intro zenon_He7. % 1.41/1.55 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hae. zenon_intro zenon_Haf. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H5 | zenon_intro zenon_H284 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_H100 | zenon_intro zenon_H10d ]. % 1.41/1.55 apply (zenon_L671_); trivial. % 1.41/1.55 apply (zenon_L672_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H284). zenon_intro zenon_H1a. zenon_intro zenon_H285. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_H80. zenon_intro zenon_H286. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H286). zenon_intro zenon_H89. zenon_intro zenon_H81. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_H100 | zenon_intro zenon_H10d ]. % 1.41/1.55 apply (zenon_L671_); trivial. % 1.41/1.55 apply (zenon_L677_); trivial. % 1.41/1.55 apply (zenon_L649_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H20e). zenon_intro zenon_H1a. zenon_intro zenon_H20f. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H20f). zenon_intro zenon_H117. zenon_intro zenon_H210. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H210). zenon_intro zenon_H115. zenon_intro zenon_H116. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H3 | zenon_intro zenon_H216 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H2d | zenon_intro zenon_H217 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H91 | zenon_intro zenon_He5 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H5 | zenon_intro zenon_H284 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_H100 | zenon_intro zenon_H10d ]. % 1.41/1.55 apply (zenon_L74_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_H1a. zenon_intro zenon_H10f. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H104. zenon_intro zenon_H110. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_H102. zenon_intro zenon_H103. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H146 | zenon_intro zenon_H19f ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.41/1.55 apply (zenon_L411_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.41/1.55 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.41/1.55 apply (zenon_L680_); trivial. % 1.41/1.55 apply (zenon_L623_); trivial. % 1.41/1.55 apply (zenon_L655_); trivial. % 1.41/1.55 apply (zenon_L681_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_He5). zenon_intro zenon_H1a. zenon_intro zenon_He6. % 1.41/1.55 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_Hb0. zenon_intro zenon_He7. % 1.41/1.55 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hae. zenon_intro zenon_Haf. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_H100 | zenon_intro zenon_H10d ]. % 1.41/1.55 apply (zenon_L74_); trivial. % 1.41/1.55 apply (zenon_L665_); trivial. % 1.41/1.55 apply (zenon_L651_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_H1a. zenon_intro zenon_H21a. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_Heb. zenon_intro zenon_H21b. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_He9. zenon_intro zenon_Hea. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H2d | zenon_intro zenon_H217 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H91 | zenon_intro zenon_He5 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H5 | zenon_intro zenon_H284 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_H100 | zenon_intro zenon_H10d ]. % 1.41/1.55 apply (zenon_L74_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_H1a. zenon_intro zenon_H10f. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H104. zenon_intro zenon_H110. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_H102. zenon_intro zenon_H103. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H146 | zenon_intro zenon_H19f ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H20a); [ zenon_intro zenon_H1fd | zenon_intro zenon_H20b ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.41/1.55 apply (zenon_L411_); trivial. % 1.41/1.55 apply (zenon_L570_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H20b). zenon_intro zenon_H1a. zenon_intro zenon_H20c. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H20c). zenon_intro zenon_H203. zenon_intro zenon_H20d. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H20d). zenon_intro zenon_H201. zenon_intro zenon_H202. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.41/1.55 apply (zenon_L94_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.41/1.55 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.41/1.55 apply (zenon_L653_); trivial. % 1.41/1.55 apply (zenon_L666_); trivial. % 1.41/1.55 apply (zenon_L643_); trivial. % 1.41/1.55 apply (zenon_L682_); trivial. % 1.41/1.55 apply (zenon_L681_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_He5). zenon_intro zenon_H1a. zenon_intro zenon_He6. % 1.41/1.55 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_Hb0. zenon_intro zenon_He7. % 1.41/1.55 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hae. zenon_intro zenon_Haf. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H5 | zenon_intro zenon_H284 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_H100 | zenon_intro zenon_H10d ]. % 1.41/1.55 apply (zenon_L74_); trivial. % 1.41/1.55 apply (zenon_L672_); trivial. % 1.41/1.55 apply (zenon_L683_); trivial. % 1.41/1.55 apply (zenon_L651_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H363). zenon_intro zenon_H1a. zenon_intro zenon_H367. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H367). zenon_intro zenon_H2c2. zenon_intro zenon_H368. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H368). zenon_intro zenon_H2b9. zenon_intro zenon_H2ba. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H31f); [ zenon_intro zenon_Hd | zenon_intro zenon_H2f8 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H321); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H2f5 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H323); [ zenon_intro zenon_H2b | zenon_intro zenon_H2f1 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H1 | zenon_intro zenon_H2a6 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_Hb | zenon_intro zenon_H20e ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H3 | zenon_intro zenon_H216 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H2d | zenon_intro zenon_H217 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H91 | zenon_intro zenon_He5 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H214); [ zenon_intro zenon_H5b | zenon_intro zenon_H1fa ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H5 | zenon_intro zenon_H284 ]. % 1.41/1.55 apply (zenon_L4_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H284). zenon_intro zenon_H1a. zenon_intro zenon_H285. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_H80. zenon_intro zenon_H286. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H286). zenon_intro zenon_H89. zenon_intro zenon_H81. % 1.41/1.55 apply (zenon_L40_); trivial. % 1.41/1.55 apply (zenon_L684_); trivial. % 1.41/1.55 apply (zenon_L62_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H1a. zenon_intro zenon_H218. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_He0. zenon_intro zenon_H219. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_Hc2. zenon_intro zenon_Hc1. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.41/1.55 apply (zenon_L8_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.41/1.55 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.41/1.55 apply (zenon_L690_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H1a. zenon_intro zenon_H1d8. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1d0. zenon_intro zenon_H1d9. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1ce. zenon_intro zenon_H1cf. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H12c | zenon_intro zenon_H148 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1be ]. % 1.41/1.55 apply (zenon_L693_); trivial. % 1.41/1.55 apply (zenon_L689_); trivial. % 1.41/1.55 apply (zenon_L695_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_H1a. zenon_intro zenon_H21a. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_Heb. zenon_intro zenon_H21b. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_He9. zenon_intro zenon_Hea. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H2d | zenon_intro zenon_H217 ]. % 1.41/1.55 apply (zenon_L705_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H1a. zenon_intro zenon_H218. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_He0. zenon_intro zenon_H219. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_Hc2. zenon_intro zenon_Hc1. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H91 | zenon_intro zenon_He5 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.41/1.55 apply (zenon_L8_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.41/1.55 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.41/1.55 apply (zenon_L715_); trivial. % 1.41/1.55 apply (zenon_L153_); trivial. % 1.41/1.55 apply (zenon_L62_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H20e). zenon_intro zenon_H1a. zenon_intro zenon_H20f. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H20f). zenon_intro zenon_H117. zenon_intro zenon_H210. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H210). zenon_intro zenon_H115. zenon_intro zenon_H116. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H2d | zenon_intro zenon_H217 ]. % 1.41/1.55 apply (zenon_L514_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H1a. zenon_intro zenon_H218. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_He0. zenon_intro zenon_H219. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_Hc2. zenon_intro zenon_Hc1. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H91 | zenon_intro zenon_He5 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.41/1.55 apply (zenon_L690_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H1a. zenon_intro zenon_H1d8. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1d0. zenon_intro zenon_H1d9. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1ce. zenon_intro zenon_H1cf. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H12e | zenon_intro zenon_H161 ]. % 1.41/1.55 apply (zenon_L716_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H161). zenon_intro zenon_H1a. zenon_intro zenon_H163. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H163). zenon_intro zenon_H159. zenon_intro zenon_H164. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_H15a. zenon_intro zenon_H158. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H13 | zenon_intro zenon_Ha1 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H11 | zenon_intro zenon_H41 ]. % 1.41/1.55 apply (zenon_L12_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H1a. zenon_intro zenon_H44. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H1d. zenon_intro zenon_H45. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H1e. zenon_intro zenon_H1f. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H12c | zenon_intro zenon_H148 ]. % 1.41/1.55 apply (zenon_L718_); trivial. % 1.41/1.55 apply (zenon_L712_); trivial. % 1.41/1.55 apply (zenon_L511_); trivial. % 1.41/1.55 apply (zenon_L153_); trivial. % 1.41/1.55 apply (zenon_L719_); trivial. % 1.41/1.55 apply (zenon_L62_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H2a6). zenon_intro zenon_H1a. zenon_intro zenon_H2a7. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H2a7). zenon_intro zenon_H120. zenon_intro zenon_H2a8. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H2a8). zenon_intro zenon_H121. zenon_intro zenon_H11f. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_Hb | zenon_intro zenon_H20e ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H3 | zenon_intro zenon_H216 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H2d | zenon_intro zenon_H217 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H91 | zenon_intro zenon_He5 ]. % 1.41/1.55 apply (zenon_L730_); trivial. % 1.41/1.55 apply (zenon_L733_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H1a. zenon_intro zenon_H218. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_He0. zenon_intro zenon_H219. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_Hc2. zenon_intro zenon_Hc1. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H91 | zenon_intro zenon_He5 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H146 | zenon_intro zenon_H19f ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.41/1.55 apply (zenon_L94_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.41/1.55 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.41/1.55 apply (zenon_L690_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H1a. zenon_intro zenon_H1d8. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1d0. zenon_intro zenon_H1d9. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1ce. zenon_intro zenon_H1cf. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H13 | zenon_intro zenon_Ha1 ]. % 1.41/1.55 apply (zenon_L714_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H1a. zenon_intro zenon_Ha2. % 1.41/1.55 apply (zenon_and_s _ _ zenon_Ha2). zenon_intro zenon_H4d. zenon_intro zenon_Ha3. % 1.41/1.55 apply (zenon_and_s _ _ zenon_Ha3). zenon_intro zenon_H4a. zenon_intro zenon_H4c. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H11 | zenon_intro zenon_H41 ]. % 1.41/1.55 apply (zenon_L127_); trivial. % 1.41/1.55 apply (zenon_L713_); trivial. % 1.41/1.55 apply (zenon_L153_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H1a. zenon_intro zenon_H1a0. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H18f. zenon_intro zenon_H1a1. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H19a. zenon_intro zenon_H18e. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.41/1.55 apply (zenon_L8_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.41/1.55 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.41/1.55 apply (zenon_L690_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H1a. zenon_intro zenon_H1d8. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1d0. zenon_intro zenon_H1d9. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1ce. zenon_intro zenon_H1cf. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H13 | zenon_intro zenon_Ha1 ]. % 1.41/1.55 apply (zenon_L714_); trivial. % 1.41/1.55 apply (zenon_L278_); trivial. % 1.41/1.55 apply (zenon_L153_); trivial. % 1.41/1.55 apply (zenon_L733_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_H1a. zenon_intro zenon_H21a. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_Heb. zenon_intro zenon_H21b. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_He9. zenon_intro zenon_Hea. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H2d | zenon_intro zenon_H217 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H91 | zenon_intro zenon_He5 ]. % 1.41/1.55 apply (zenon_L748_); trivial. % 1.41/1.55 apply (zenon_L756_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H1a. zenon_intro zenon_H218. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_He0. zenon_intro zenon_H219. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_Hc2. zenon_intro zenon_Hc1. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H91 | zenon_intro zenon_He5 ]. % 1.41/1.55 apply (zenon_L759_); trivial. % 1.41/1.55 apply (zenon_L756_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H20e). zenon_intro zenon_H1a. zenon_intro zenon_H20f. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H20f). zenon_intro zenon_H117. zenon_intro zenon_H210. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H210). zenon_intro zenon_H115. zenon_intro zenon_H116. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H3 | zenon_intro zenon_H216 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H2d | zenon_intro zenon_H217 ]. % 1.41/1.55 apply (zenon_L514_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H1a. zenon_intro zenon_H218. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_He0. zenon_intro zenon_H219. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_Hc2. zenon_intro zenon_Hc1. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H91 | zenon_intro zenon_He5 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.41/1.55 apply (zenon_L763_); trivial. % 1.41/1.55 apply (zenon_L719_); trivial. % 1.41/1.55 apply (zenon_L733_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_H1a. zenon_intro zenon_H21a. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_Heb. zenon_intro zenon_H21b. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_He9. zenon_intro zenon_Hea. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H2d | zenon_intro zenon_H217 ]. % 1.41/1.55 apply (zenon_L514_); trivial. % 1.41/1.55 apply (zenon_L764_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H2f1). zenon_intro zenon_H1a. zenon_intro zenon_H2f3. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H2f3). zenon_intro zenon_H228. zenon_intro zenon_H2f4. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H2f4). zenon_intro zenon_H220. zenon_intro zenon_H21f. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H1 | zenon_intro zenon_H2a6 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_Hb | zenon_intro zenon_H20e ]. % 1.41/1.55 apply (zenon_L778_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H20e). zenon_intro zenon_H1a. zenon_intro zenon_H20f. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H20f). zenon_intro zenon_H117. zenon_intro zenon_H210. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H210). zenon_intro zenon_H115. zenon_intro zenon_H116. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H3 | zenon_intro zenon_H216 ]. % 1.41/1.55 apply (zenon_L837_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_H1a. zenon_intro zenon_H21a. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_Heb. zenon_intro zenon_H21b. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_He9. zenon_intro zenon_Hea. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H2d | zenon_intro zenon_H217 ]. % 1.41/1.55 apply (zenon_L859_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H1a. zenon_intro zenon_H218. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_He0. zenon_intro zenon_H219. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_Hc2. zenon_intro zenon_Hc1. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H91 | zenon_intro zenon_He5 ]. % 1.41/1.55 apply (zenon_L864_); trivial. % 1.41/1.55 apply (zenon_L865_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H2a6). zenon_intro zenon_H1a. zenon_intro zenon_H2a7. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H2a7). zenon_intro zenon_H120. zenon_intro zenon_H2a8. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H2a8). zenon_intro zenon_H121. zenon_intro zenon_H11f. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_Hb | zenon_intro zenon_H20e ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H3 | zenon_intro zenon_H216 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H2d | zenon_intro zenon_H217 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H91 | zenon_intro zenon_He5 ]. % 1.41/1.55 apply (zenon_L866_); trivial. % 1.41/1.55 apply (zenon_L733_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H1a. zenon_intro zenon_H218. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_He0. zenon_intro zenon_H219. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_Hc2. zenon_intro zenon_Hc1. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H91 | zenon_intro zenon_He5 ]. % 1.41/1.55 apply (zenon_L873_); trivial. % 1.41/1.55 apply (zenon_L733_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_H1a. zenon_intro zenon_H21a. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_Heb. zenon_intro zenon_H21b. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_He9. zenon_intro zenon_Hea. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H2d | zenon_intro zenon_H217 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H91 | zenon_intro zenon_He5 ]. % 1.41/1.55 apply (zenon_L874_); trivial. % 1.41/1.55 apply (zenon_L756_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H1a. zenon_intro zenon_H218. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_He0. zenon_intro zenon_H219. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_Hc2. zenon_intro zenon_Hc1. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H91 | zenon_intro zenon_He5 ]. % 1.41/1.55 apply (zenon_L876_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_He5). zenon_intro zenon_H1a. zenon_intro zenon_He6. % 1.41/1.55 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_Hb0. zenon_intro zenon_He7. % 1.41/1.55 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hae. zenon_intro zenon_Haf. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H146 | zenon_intro zenon_H19f ]. % 1.41/1.55 apply (zenon_L878_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H1a. zenon_intro zenon_H1a0. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H18f. zenon_intro zenon_H1a1. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H19a. zenon_intro zenon_H18e. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H20a); [ zenon_intro zenon_H1fd | zenon_intro zenon_H20b ]. % 1.41/1.55 apply (zenon_L757_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H20b). zenon_intro zenon_H1a. zenon_intro zenon_H20c. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H20c). zenon_intro zenon_H203. zenon_intro zenon_H20d. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H20d). zenon_intro zenon_H201. zenon_intro zenon_H202. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.41/1.55 apply (zenon_L740_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.41/1.55 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.41/1.55 apply (zenon_L201_); trivial. % 1.41/1.55 apply (zenon_L749_); trivial. % 1.41/1.55 apply (zenon_L879_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H20e). zenon_intro zenon_H1a. zenon_intro zenon_H20f. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H20f). zenon_intro zenon_H117. zenon_intro zenon_H210. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H210). zenon_intro zenon_H115. zenon_intro zenon_H116. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H3 | zenon_intro zenon_H216 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H2d | zenon_intro zenon_H217 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H91 | zenon_intro zenon_He5 ]. % 1.41/1.55 apply (zenon_L882_); trivial. % 1.41/1.55 apply (zenon_L865_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H1a. zenon_intro zenon_H218. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_He0. zenon_intro zenon_H219. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_Hc2. zenon_intro zenon_Hc1. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H91 | zenon_intro zenon_He5 ]. % 1.41/1.55 apply (zenon_L836_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_He5). zenon_intro zenon_H1a. zenon_intro zenon_He6. % 1.41/1.55 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_Hb0. zenon_intro zenon_He7. % 1.41/1.55 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hae. zenon_intro zenon_Haf. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H146 | zenon_intro zenon_H19f ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.41/1.55 apply (zenon_L94_); trivial. % 1.41/1.55 apply (zenon_L885_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H1a. zenon_intro zenon_H1a0. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H18f. zenon_intro zenon_H1a1. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H19a. zenon_intro zenon_H18e. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.41/1.55 apply (zenon_L191_); trivial. % 1.41/1.55 apply (zenon_L885_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_H1a. zenon_intro zenon_H21a. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_Heb. zenon_intro zenon_H21b. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_He9. zenon_intro zenon_Hea. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H2d | zenon_intro zenon_H217 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H91 | zenon_intro zenon_He5 ]. % 1.41/1.55 apply (zenon_L882_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_He5). zenon_intro zenon_H1a. zenon_intro zenon_He6. % 1.41/1.55 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_Hb0. zenon_intro zenon_He7. % 1.41/1.55 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hae. zenon_intro zenon_Haf. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H5 | zenon_intro zenon_H284 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.41/1.55 apply (zenon_L888_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.41/1.55 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.41/1.55 apply (zenon_L890_); trivial. % 1.41/1.55 apply (zenon_L891_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H284). zenon_intro zenon_H1a. zenon_intro zenon_H285. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_H80. zenon_intro zenon_H286. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H286). zenon_intro zenon_H89. zenon_intro zenon_H81. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.41/1.55 apply (zenon_L888_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.41/1.55 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.41/1.55 apply (zenon_L894_); trivial. % 1.41/1.55 apply (zenon_L891_); trivial. % 1.41/1.55 apply (zenon_L764_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H2f5). zenon_intro zenon_H1a. zenon_intro zenon_H2f6. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H2f6). zenon_intro zenon_H234. zenon_intro zenon_H2f7. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H2f7). zenon_intro zenon_H235. zenon_intro zenon_H233. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H323); [ zenon_intro zenon_H2b | zenon_intro zenon_H2f1 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H1 | zenon_intro zenon_H2a6 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_Hb | zenon_intro zenon_H20e ]. % 1.41/1.55 apply (zenon_L897_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H20e). zenon_intro zenon_H1a. zenon_intro zenon_H20f. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H20f). zenon_intro zenon_H117. zenon_intro zenon_H210. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H210). zenon_intro zenon_H115. zenon_intro zenon_H116. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H2d | zenon_intro zenon_H217 ]. % 1.41/1.55 apply (zenon_L896_); trivial. % 1.41/1.55 apply (zenon_L604_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H2a6). zenon_intro zenon_H1a. zenon_intro zenon_H2a7. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H2a7). zenon_intro zenon_H120. zenon_intro zenon_H2a8. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H2a8). zenon_intro zenon_H121. zenon_intro zenon_H11f. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_Hb | zenon_intro zenon_H20e ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H2d | zenon_intro zenon_H217 ]. % 1.41/1.55 apply (zenon_L245_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H1a. zenon_intro zenon_H218. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_He0. zenon_intro zenon_H219. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_Hc2. zenon_intro zenon_Hc1. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H91 | zenon_intro zenon_He5 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H146 | zenon_intro zenon_H19f ]. % 1.41/1.55 apply (zenon_L253_); trivial. % 1.41/1.55 apply (zenon_L902_); trivial. % 1.41/1.55 apply (zenon_L905_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H20e). zenon_intro zenon_H1a. zenon_intro zenon_H20f. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H20f). zenon_intro zenon_H117. zenon_intro zenon_H210. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H210). zenon_intro zenon_H115. zenon_intro zenon_H116. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H2d | zenon_intro zenon_H217 ]. % 1.41/1.55 apply (zenon_L514_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H1a. zenon_intro zenon_H218. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_He0. zenon_intro zenon_H219. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_Hc2. zenon_intro zenon_Hc1. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H91 | zenon_intro zenon_He5 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H146 | zenon_intro zenon_H19f ]. % 1.41/1.55 apply (zenon_L253_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H1a. zenon_intro zenon_H1a0. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H18f. zenon_intro zenon_H1a1. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H19a. zenon_intro zenon_H18e. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.41/1.55 apply (zenon_L907_); trivial. % 1.41/1.55 apply (zenon_L901_); trivial. % 1.41/1.55 apply (zenon_L905_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H2f1). zenon_intro zenon_H1a. zenon_intro zenon_H2f3. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H2f3). zenon_intro zenon_H228. zenon_intro zenon_H2f4. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H2f4). zenon_intro zenon_H220. zenon_intro zenon_H21f. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H1 | zenon_intro zenon_H2a6 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_Hb | zenon_intro zenon_H20e ]. % 1.41/1.55 apply (zenon_L778_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H20e). zenon_intro zenon_H1a. zenon_intro zenon_H20f. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H20f). zenon_intro zenon_H117. zenon_intro zenon_H210. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H210). zenon_intro zenon_H115. zenon_intro zenon_H116. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H3 | zenon_intro zenon_H216 ]. % 1.41/1.55 apply (zenon_L837_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_H1a. zenon_intro zenon_H21a. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_Heb. zenon_intro zenon_H21b. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_He9. zenon_intro zenon_Hea. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H2d | zenon_intro zenon_H217 ]. % 1.41/1.55 apply (zenon_L918_); trivial. % 1.41/1.55 apply (zenon_L921_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H2a6). zenon_intro zenon_H1a. zenon_intro zenon_H2a7. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H2a7). zenon_intro zenon_H120. zenon_intro zenon_H2a8. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H2a8). zenon_intro zenon_H121. zenon_intro zenon_H11f. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_Hb | zenon_intro zenon_H20e ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H3 | zenon_intro zenon_H216 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H2d | zenon_intro zenon_H217 ]. % 1.41/1.55 apply (zenon_L245_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H1a. zenon_intro zenon_H218. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_He0. zenon_intro zenon_H219. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_Hc2. zenon_intro zenon_Hc1. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H91 | zenon_intro zenon_He5 ]. % 1.41/1.55 apply (zenon_L873_); trivial. % 1.41/1.55 apply (zenon_L924_); trivial. % 1.41/1.55 apply (zenon_L925_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H20e). zenon_intro zenon_H1a. zenon_intro zenon_H20f. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H20f). zenon_intro zenon_H117. zenon_intro zenon_H210. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H210). zenon_intro zenon_H115. zenon_intro zenon_H116. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H3 | zenon_intro zenon_H216 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H2d | zenon_intro zenon_H217 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H91 | zenon_intro zenon_He5 ]. % 1.41/1.55 apply (zenon_L882_); trivial. % 1.41/1.55 apply (zenon_L619_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H1a. zenon_intro zenon_H218. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_He0. zenon_intro zenon_H219. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_Hc2. zenon_intro zenon_Hc1. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H91 | zenon_intro zenon_He5 ]. % 1.41/1.55 apply (zenon_L931_); trivial. % 1.41/1.55 apply (zenon_L924_); trivial. % 1.41/1.55 apply (zenon_L932_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H2f8). zenon_intro zenon_H1a. zenon_intro zenon_H2f9. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H2f9). zenon_intro zenon_H255. zenon_intro zenon_H2fa. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H2fa). zenon_intro zenon_H256. zenon_intro zenon_H254. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H321); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H2f5 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H323); [ zenon_intro zenon_H2b | zenon_intro zenon_H2f1 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H1 | zenon_intro zenon_H2a6 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H3 | zenon_intro zenon_H216 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H2d | zenon_intro zenon_H217 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H91 | zenon_intro zenon_He5 ]. % 1.41/1.55 apply (zenon_L934_); trivial. % 1.41/1.55 apply (zenon_L62_); trivial. % 1.41/1.55 apply (zenon_L939_); trivial. % 1.41/1.55 apply (zenon_L947_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H2a6). zenon_intro zenon_H1a. zenon_intro zenon_H2a7. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H2a7). zenon_intro zenon_H120. zenon_intro zenon_H2a8. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H2a8). zenon_intro zenon_H121. zenon_intro zenon_H11f. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H3 | zenon_intro zenon_H216 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H2d | zenon_intro zenon_H217 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H91 | zenon_intro zenon_He5 ]. % 1.41/1.55 apply (zenon_L957_); trivial. % 1.41/1.55 apply (zenon_L964_); trivial. % 1.41/1.55 apply (zenon_L939_); trivial. % 1.41/1.55 apply (zenon_L970_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H2f1). zenon_intro zenon_H1a. zenon_intro zenon_H2f3. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H2f3). zenon_intro zenon_H228. zenon_intro zenon_H2f4. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H2f4). zenon_intro zenon_H220. zenon_intro zenon_H21f. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H1 | zenon_intro zenon_H2a6 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H3 | zenon_intro zenon_H216 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H2d | zenon_intro zenon_H217 ]. % 1.41/1.55 apply (zenon_L978_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H1a. zenon_intro zenon_H218. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_He0. zenon_intro zenon_H219. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_Hc2. zenon_intro zenon_Hc1. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H91 | zenon_intro zenon_He5 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.41/1.55 apply (zenon_L392_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.41/1.55 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.41/1.55 apply (zenon_L822_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H1a. zenon_intro zenon_H1d8. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1d0. zenon_intro zenon_H1d9. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1ce. zenon_intro zenon_H1cf. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H11 | zenon_intro zenon_H41 ]. % 1.41/1.55 apply (zenon_L766_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H1a. zenon_intro zenon_H44. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H1d. zenon_intro zenon_H45. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H1e. zenon_intro zenon_H1f. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H12c | zenon_intro zenon_H148 ]. % 1.41/1.55 apply (zenon_L979_); trivial. % 1.41/1.55 apply (zenon_L319_); trivial. % 1.41/1.55 apply (zenon_L153_); trivial. % 1.41/1.55 apply (zenon_L938_); trivial. % 1.41/1.55 apply (zenon_L947_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H2a6). zenon_intro zenon_H1a. zenon_intro zenon_H2a7. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H2a7). zenon_intro zenon_H120. zenon_intro zenon_H2a8. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H2a8). zenon_intro zenon_H121. zenon_intro zenon_H11f. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_Hb | zenon_intro zenon_H20e ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H3 | zenon_intro zenon_H216 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H2d | zenon_intro zenon_H217 ]. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H91 | zenon_intro zenon_He5 ]. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H5 | zenon_intro zenon_H284 ]. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H146 | zenon_intro zenon_H19f ]. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.41/1.56 apply (zenon_L411_); trivial. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.41/1.56 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.41/1.56 apply (zenon_L982_); trivial. % 1.41/1.56 apply (zenon_L724_); trivial. % 1.41/1.56 apply (zenon_L991_); trivial. % 1.41/1.56 apply (zenon_L976_); trivial. % 1.41/1.56 apply (zenon_and_s _ _ zenon_He5). zenon_intro zenon_H1a. zenon_intro zenon_He6. % 1.41/1.56 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_Hb0. zenon_intro zenon_He7. % 1.41/1.56 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hae. zenon_intro zenon_Haf. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.41/1.56 apply (zenon_L411_); trivial. % 1.41/1.56 apply (zenon_L993_); trivial. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H1a. zenon_intro zenon_H218. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_He0. zenon_intro zenon_H219. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_Hc2. zenon_intro zenon_Hc1. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H91 | zenon_intro zenon_He5 ]. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H146 | zenon_intro zenon_H19f ]. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.41/1.56 apply (zenon_L822_); trivial. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H1a. zenon_intro zenon_H1d8. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1d0. zenon_intro zenon_H1d9. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1ce. zenon_intro zenon_H1cf. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H11 | zenon_intro zenon_H41 ]. % 1.41/1.56 apply (zenon_L329_); trivial. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H1a. zenon_intro zenon_H44. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H1d. zenon_intro zenon_H45. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H1e. zenon_intro zenon_H1f. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H12c | zenon_intro zenon_H148 ]. % 1.41/1.56 apply (zenon_L979_); trivial. % 1.41/1.56 apply (zenon_L86_); trivial. % 1.41/1.56 apply (zenon_L153_); trivial. % 1.41/1.56 apply (zenon_L956_); trivial. % 1.41/1.56 apply (zenon_L996_); trivial. % 1.41/1.56 apply (zenon_L970_); trivial. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H20e). zenon_intro zenon_H1a. zenon_intro zenon_H20f. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H20f). zenon_intro zenon_H117. zenon_intro zenon_H210. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H210). zenon_intro zenon_H115. zenon_intro zenon_H116. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H3 | zenon_intro zenon_H216 ]. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H2d | zenon_intro zenon_H217 ]. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H91 | zenon_intro zenon_He5 ]. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H5 | zenon_intro zenon_H284 ]. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H146 | zenon_intro zenon_H19f ]. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.41/1.56 apply (zenon_L411_); trivial. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.41/1.56 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.41/1.56 apply (zenon_L981_); trivial. % 1.41/1.56 apply (zenon_L679_); trivial. % 1.41/1.56 apply (zenon_L724_); trivial. % 1.41/1.56 apply (zenon_L999_); trivial. % 1.41/1.56 apply (zenon_L976_); trivial. % 1.41/1.56 apply (zenon_and_s _ _ zenon_He5). zenon_intro zenon_H1a. zenon_intro zenon_He6. % 1.41/1.56 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_Hb0. zenon_intro zenon_He7. % 1.41/1.56 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hae. zenon_intro zenon_Haf. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H5 | zenon_intro zenon_H284 ]. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.41/1.56 apply (zenon_L411_); trivial. % 1.41/1.56 apply (zenon_L1000_); trivial. % 1.41/1.56 apply (zenon_L1002_); trivial. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H1a. zenon_intro zenon_H218. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_He0. zenon_intro zenon_H219. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_Hc2. zenon_intro zenon_Hc1. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H91 | zenon_intro zenon_He5 ]. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H146 | zenon_intro zenon_H19f ]. % 1.41/1.56 apply (zenon_L1006_); trivial. % 1.41/1.56 apply (zenon_L956_); trivial. % 1.41/1.56 apply (zenon_L938_); trivial. % 1.41/1.56 apply (zenon_L970_); trivial. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H2f5). zenon_intro zenon_H1a. zenon_intro zenon_H2f6. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H2f6). zenon_intro zenon_H234. zenon_intro zenon_H2f7. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H2f7). zenon_intro zenon_H235. zenon_intro zenon_H233. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H323); [ zenon_intro zenon_H2b | zenon_intro zenon_H2f1 ]. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H1 | zenon_intro zenon_H2a6 ]. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H3 | zenon_intro zenon_H216 ]. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H2d | zenon_intro zenon_H217 ]. % 1.41/1.56 apply (zenon_L1008_); trivial. % 1.41/1.56 apply (zenon_L445_); trivial. % 1.41/1.56 apply (zenon_L1017_); trivial. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H2a6). zenon_intro zenon_H1a. zenon_intro zenon_H2a7. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H2a7). zenon_intro zenon_H120. zenon_intro zenon_H2a8. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H2a8). zenon_intro zenon_H121. zenon_intro zenon_H11f. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H3 | zenon_intro zenon_H216 ]. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H2d | zenon_intro zenon_H217 ]. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H91 | zenon_intro zenon_He5 ]. % 1.41/1.56 apply (zenon_L475_); trivial. % 1.41/1.56 apply (zenon_and_s _ _ zenon_He5). zenon_intro zenon_H1a. zenon_intro zenon_He6. % 1.41/1.56 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_Hb0. zenon_intro zenon_He7. % 1.41/1.56 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hae. zenon_intro zenon_Haf. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H146 | zenon_intro zenon_H19f ]. % 1.41/1.56 apply (zenon_L961_); trivial. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H1a. zenon_intro zenon_H1a0. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H18f. zenon_intro zenon_H1a1. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H19a. zenon_intro zenon_H18e. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.41/1.56 apply (zenon_L191_); trivial. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.41/1.56 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.41/1.56 apply (zenon_L661_); trivial. % 1.41/1.56 apply (zenon_L1018_); trivial. % 1.41/1.56 apply (zenon_L1019_); trivial. % 1.41/1.56 apply (zenon_L1021_); trivial. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H2f1). zenon_intro zenon_H1a. zenon_intro zenon_H2f3. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H2f3). zenon_intro zenon_H228. zenon_intro zenon_H2f4. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H2f4). zenon_intro zenon_H220. zenon_intro zenon_H21f. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H1 | zenon_intro zenon_H2a6 ]. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H3 | zenon_intro zenon_H216 ]. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H2d | zenon_intro zenon_H217 ]. % 1.41/1.56 apply (zenon_L1022_); trivial. % 1.41/1.56 apply (zenon_L445_); trivial. % 1.41/1.56 apply (zenon_L1017_); trivial. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H2a6). zenon_intro zenon_H1a. zenon_intro zenon_H2a7. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H2a7). zenon_intro zenon_H120. zenon_intro zenon_H2a8. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H2a8). zenon_intro zenon_H121. zenon_intro zenon_H11f. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H3 | zenon_intro zenon_H216 ]. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H2d | zenon_intro zenon_H217 ]. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H91 | zenon_intro zenon_He5 ]. % 1.41/1.56 apply (zenon_L475_); trivial. % 1.41/1.56 apply (zenon_and_s _ _ zenon_He5). zenon_intro zenon_H1a. zenon_intro zenon_He6. % 1.41/1.56 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_Hb0. zenon_intro zenon_He7. % 1.41/1.56 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hae. zenon_intro zenon_Haf. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.41/1.56 apply (zenon_L411_); trivial. % 1.41/1.56 apply (zenon_L1023_); trivial. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H1a. zenon_intro zenon_H218. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_He0. zenon_intro zenon_H219. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_Hc2. zenon_intro zenon_Hc1. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H91 | zenon_intro zenon_He5 ]. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.41/1.56 apply (zenon_L822_); trivial. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H1a. zenon_intro zenon_H1d8. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1d0. zenon_intro zenon_H1d9. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1ce. zenon_intro zenon_H1cf. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H11 | zenon_intro zenon_H41 ]. % 1.41/1.56 apply (zenon_L329_); trivial. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H1a. zenon_intro zenon_H44. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H1d. zenon_intro zenon_H45. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H1e. zenon_intro zenon_H1f. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H12c | zenon_intro zenon_H148 ]. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1be ]. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H59 | zenon_intro zenon_H98 ]. % 1.41/1.56 apply (zenon_L824_); trivial. % 1.41/1.56 apply (zenon_L478_); trivial. % 1.41/1.56 apply (zenon_L338_); trivial. % 1.41/1.56 apply (zenon_L319_); trivial. % 1.41/1.56 apply (zenon_L153_); trivial. % 1.41/1.56 apply (zenon_L996_); trivial. % 1.41/1.56 apply (zenon_L1021_); trivial. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H362). zenon_intro zenon_H1a. zenon_intro zenon_H369. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H369). zenon_intro zenon_H2d9. zenon_intro zenon_H36a. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H36a). zenon_intro zenon_H2d7. zenon_intro zenon_H2d8. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H31b); [ zenon_intro zenon_Hfe | zenon_intro zenon_H363 ]. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H31d); [ zenon_intro zenon_H10b | zenon_intro zenon_H364 ]. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H31f); [ zenon_intro zenon_Hd | zenon_intro zenon_H2f8 ]. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H321); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H2f5 ]. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H323); [ zenon_intro zenon_H2b | zenon_intro zenon_H2f1 ]. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H1 | zenon_intro zenon_H2a6 ]. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_Hb | zenon_intro zenon_H20e ]. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H3 | zenon_intro zenon_H216 ]. % 1.41/1.56 apply (zenon_L1039_); trivial. % 1.41/1.56 apply (zenon_L1042_); trivial. % 1.41/1.56 apply (zenon_L219_); trivial. % 1.41/1.56 apply (zenon_L1063_); trivial. % 1.41/1.56 apply (zenon_L1080_); trivial. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H2f5). zenon_intro zenon_H1a. zenon_intro zenon_H2f6. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H2f6). zenon_intro zenon_H234. zenon_intro zenon_H2f7. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H2f7). zenon_intro zenon_H235. zenon_intro zenon_H233. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H1 | zenon_intro zenon_H2a6 ]. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_Hb | zenon_intro zenon_H20e ]. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H3 | zenon_intro zenon_H216 ]. % 1.41/1.56 apply (zenon_L1084_); trivial. % 1.41/1.56 apply (zenon_L1042_); trivial. % 1.41/1.56 apply (zenon_L219_); trivial. % 1.41/1.56 apply (zenon_L1063_); trivial. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H2f8). zenon_intro zenon_H1a. zenon_intro zenon_H2f9. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H2f9). zenon_intro zenon_H255. zenon_intro zenon_H2fa. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H2fa). zenon_intro zenon_H256. zenon_intro zenon_H254. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_Hb | zenon_intro zenon_H20e ]. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H3 | zenon_intro zenon_H216 ]. % 1.41/1.56 apply (zenon_L1085_); trivial. % 1.41/1.56 apply (zenon_L1042_); trivial. % 1.41/1.56 apply (zenon_L219_); trivial. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H364). zenon_intro zenon_H1a. zenon_intro zenon_H365. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H365). zenon_intro zenon_H288. zenon_intro zenon_H366. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H366). zenon_intro zenon_H289. zenon_intro zenon_H29c. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H31f); [ zenon_intro zenon_Hd | zenon_intro zenon_H2f8 ]. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H321); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H2f5 ]. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H1 | zenon_intro zenon_H2a6 ]. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H3 | zenon_intro zenon_H216 ]. % 1.41/1.56 apply (zenon_L1087_); trivial. % 1.41/1.56 apply (zenon_L1091_); trivial. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H2a6). zenon_intro zenon_H1a. zenon_intro zenon_H2a7. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H2a7). zenon_intro zenon_H120. zenon_intro zenon_H2a8. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H2a8). zenon_intro zenon_H121. zenon_intro zenon_H11f. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_Hb | zenon_intro zenon_H20e ]. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H3 | zenon_intro zenon_H216 ]. % 1.41/1.56 apply (zenon_L1046_); trivial. % 1.41/1.56 apply (zenon_L1104_); trivial. % 1.41/1.56 apply (zenon_L1062_); trivial. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H2f5). zenon_intro zenon_H1a. zenon_intro zenon_H2f6. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H2f6). zenon_intro zenon_H234. zenon_intro zenon_H2f7. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H2f7). zenon_intro zenon_H235. zenon_intro zenon_H233. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H1 | zenon_intro zenon_H2a6 ]. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_Hb | zenon_intro zenon_H20e ]. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H3 | zenon_intro zenon_H216 ]. % 1.41/1.56 apply (zenon_L1087_); trivial. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_H1a. zenon_intro zenon_H21a. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_Heb. zenon_intro zenon_H21b. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_He9. zenon_intro zenon_Hea. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H2d | zenon_intro zenon_H217 ]. % 1.41/1.56 apply (zenon_L245_); trivial. % 1.41/1.56 apply (zenon_L1107_); trivial. % 1.41/1.56 apply (zenon_L1108_); trivial. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H2a6). zenon_intro zenon_H1a. zenon_intro zenon_H2a7. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H2a7). zenon_intro zenon_H120. zenon_intro zenon_H2a8. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H2a8). zenon_intro zenon_H121. zenon_intro zenon_H11f. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_Hb | zenon_intro zenon_H20e ]. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H3 | zenon_intro zenon_H216 ]. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H2d | zenon_intro zenon_H217 ]. % 1.41/1.56 apply (zenon_L245_); trivial. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H1a. zenon_intro zenon_H218. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_He0. zenon_intro zenon_H219. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_Hc2. zenon_intro zenon_Hc1. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H91 | zenon_intro zenon_He5 ]. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H146 | zenon_intro zenon_H19f ]. % 1.41/1.56 apply (zenon_L253_); trivial. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H1a. zenon_intro zenon_H1a0. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H18f. zenon_intro zenon_H1a1. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H19a. zenon_intro zenon_H18e. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.41/1.56 apply (zenon_L1111_); trivial. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.41/1.56 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.41/1.56 apply (zenon_L1112_); trivial. % 1.41/1.56 apply (zenon_L159_); trivial. % 1.41/1.56 apply (zenon_and_s _ _ zenon_He5). zenon_intro zenon_H1a. zenon_intro zenon_He6. % 1.41/1.56 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_Hb0. zenon_intro zenon_He7. % 1.41/1.56 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hae. zenon_intro zenon_Haf. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H146 | zenon_intro zenon_H19f ]. % 1.41/1.56 apply (zenon_L281_); trivial. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H1a. zenon_intro zenon_H1a0. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H18f. zenon_intro zenon_H1a1. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H19a. zenon_intro zenon_H18e. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.41/1.56 apply (zenon_L1111_); trivial. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.41/1.56 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.41/1.56 apply (zenon_L1112_); trivial. % 1.41/1.56 apply (zenon_L1115_); trivial. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_H1a. zenon_intro zenon_H21a. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_Heb. zenon_intro zenon_H21b. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_He9. zenon_intro zenon_Hea. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H2d | zenon_intro zenon_H217 ]. % 1.41/1.56 apply (zenon_L245_); trivial. % 1.41/1.56 apply (zenon_L1120_); trivial. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H20e). zenon_intro zenon_H1a. zenon_intro zenon_H20f. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H20f). zenon_intro zenon_H117. zenon_intro zenon_H210. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H210). zenon_intro zenon_H115. zenon_intro zenon_H116. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H2d | zenon_intro zenon_H217 ]. % 1.41/1.56 apply (zenon_L1122_); trivial. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H1a. zenon_intro zenon_H218. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_He0. zenon_intro zenon_H219. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_Hc2. zenon_intro zenon_Hc1. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H91 | zenon_intro zenon_He5 ]. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_H100 | zenon_intro zenon_H10d ]. % 1.41/1.56 apply (zenon_L74_); trivial. % 1.41/1.56 apply (zenon_L1116_); trivial. % 1.41/1.56 apply (zenon_and_s _ _ zenon_He5). zenon_intro zenon_H1a. zenon_intro zenon_He6. % 1.41/1.56 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_Hb0. zenon_intro zenon_He7. % 1.41/1.56 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hae. zenon_intro zenon_Haf. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_H100 | zenon_intro zenon_H10d ]. % 1.41/1.56 apply (zenon_L74_); trivial. % 1.41/1.56 apply (zenon_L1118_); trivial. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H2f8). zenon_intro zenon_H1a. zenon_intro zenon_H2f9. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H2f9). zenon_intro zenon_H255. zenon_intro zenon_H2fa. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H2fa). zenon_intro zenon_H256. zenon_intro zenon_H254. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H321); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H2f5 ]. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_Hb | zenon_intro zenon_H20e ]. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H3 | zenon_intro zenon_H216 ]. % 1.41/1.56 apply (zenon_L1085_); trivial. % 1.41/1.56 apply (zenon_L1124_); trivial. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H20e). zenon_intro zenon_H1a. zenon_intro zenon_H20f. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H20f). zenon_intro zenon_H117. zenon_intro zenon_H210. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H210). zenon_intro zenon_H115. zenon_intro zenon_H116. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H3 | zenon_intro zenon_H216 ]. % 1.41/1.56 apply (zenon_L1131_); trivial. % 1.41/1.56 apply (zenon_L1124_); trivial. % 1.41/1.56 apply (zenon_L1139_); trivial. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H363). zenon_intro zenon_H1a. zenon_intro zenon_H367. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H367). zenon_intro zenon_H2c2. zenon_intro zenon_H368. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H368). zenon_intro zenon_H2b9. zenon_intro zenon_H2ba. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H31f); [ zenon_intro zenon_Hd | zenon_intro zenon_H2f8 ]. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_Hb | zenon_intro zenon_H20e ]. % 1.41/1.56 apply (zenon_L1142_); trivial. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H20e). zenon_intro zenon_H1a. zenon_intro zenon_H20f. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H20f). zenon_intro zenon_H117. zenon_intro zenon_H210. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H210). zenon_intro zenon_H115. zenon_intro zenon_H116. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H2d | zenon_intro zenon_H217 ]. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H13 | zenon_intro zenon_Ha1 ]. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H11 | zenon_intro zenon_H41 ]. % 1.41/1.56 apply (zenon_L12_); trivial. % 1.41/1.56 apply (zenon_L1143_); trivial. % 1.41/1.56 apply (zenon_L511_); trivial. % 1.41/1.56 apply (zenon_L1145_); trivial. % 1.41/1.56 apply (zenon_L1146_); trivial. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H361). zenon_intro zenon_H1a. zenon_intro zenon_H36b. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H36b). zenon_intro zenon_H304. zenon_intro zenon_H36c. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H36c). zenon_intro zenon_H2fb. zenon_intro zenon_H2fd. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H319); [ zenon_intro zenon_Hde | zenon_intro zenon_H362 ]. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H31b); [ zenon_intro zenon_Hfe | zenon_intro zenon_H363 ]. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H31d); [ zenon_intro zenon_H10b | zenon_intro zenon_H364 ]. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H31f); [ zenon_intro zenon_Hd | zenon_intro zenon_H2f8 ]. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H1 | zenon_intro zenon_H2a6 ]. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_Hb | zenon_intro zenon_H20e ]. % 1.41/1.56 apply (zenon_L1177_); trivial. % 1.41/1.56 apply (zenon_L219_); trivial. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H2a6). zenon_intro zenon_H1a. zenon_intro zenon_H2a7. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H2a7). zenon_intro zenon_H120. zenon_intro zenon_H2a8. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H2a8). zenon_intro zenon_H121. zenon_intro zenon_H11f. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_Hb | zenon_intro zenon_H20e ]. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H3 | zenon_intro zenon_H216 ]. % 1.41/1.56 apply (zenon_L1196_); trivial. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_H1a. zenon_intro zenon_H21a. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_Heb. zenon_intro zenon_H21b. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_He9. zenon_intro zenon_Hea. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H2d | zenon_intro zenon_H217 ]. % 1.41/1.56 apply (zenon_L1208_); trivial. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H1a. zenon_intro zenon_H218. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_He0. zenon_intro zenon_H219. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_Hc2. zenon_intro zenon_Hc1. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H91 | zenon_intro zenon_He5 ]. % 1.41/1.56 apply (zenon_L1193_); trivial. % 1.41/1.56 apply (zenon_L1215_); trivial. % 1.41/1.56 apply (zenon_L1232_); trivial. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H2f8). zenon_intro zenon_H1a. zenon_intro zenon_H2f9. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H2f9). zenon_intro zenon_H255. zenon_intro zenon_H2fa. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H2fa). zenon_intro zenon_H256. zenon_intro zenon_H254. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H1 | zenon_intro zenon_H2a6 ]. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_Hb | zenon_intro zenon_H20e ]. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H3 | zenon_intro zenon_H216 ]. % 1.41/1.56 apply (zenon_L1238_); trivial. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_H1a. zenon_intro zenon_H21a. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_Heb. zenon_intro zenon_H21b. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_He9. zenon_intro zenon_Hea. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H2d | zenon_intro zenon_H217 ]. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H91 | zenon_intro zenon_He5 ]. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H5 | zenon_intro zenon_H284 ]. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_H100 | zenon_intro zenon_H10d ]. % 1.41/1.56 apply (zenon_L1253_); trivial. % 1.41/1.56 apply (zenon_L1261_); trivial. % 1.41/1.56 apply (zenon_L1264_); trivial. % 1.41/1.56 apply (zenon_L62_); trivial. % 1.41/1.56 apply (zenon_L1237_); trivial. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H20e). zenon_intro zenon_H1a. zenon_intro zenon_H20f. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H20f). zenon_intro zenon_H117. zenon_intro zenon_H210. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H210). zenon_intro zenon_H115. zenon_intro zenon_H116. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H3 | zenon_intro zenon_H216 ]. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H2d | zenon_intro zenon_H217 ]. % 1.41/1.56 apply (zenon_L1266_); trivial. % 1.41/1.56 apply (zenon_L1237_); trivial. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_H1a. zenon_intro zenon_H21a. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_Heb. zenon_intro zenon_H21b. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_He9. zenon_intro zenon_Hea. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H2d | zenon_intro zenon_H217 ]. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H91 | zenon_intro zenon_He5 ]. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H5 | zenon_intro zenon_H284 ]. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_H100 | zenon_intro zenon_H10d ]. % 1.41/1.56 apply (zenon_L1253_); trivial. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_H1a. zenon_intro zenon_H10f. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H104. zenon_intro zenon_H110. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_H102. zenon_intro zenon_H103. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H146 | zenon_intro zenon_H19f ]. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.41/1.56 apply (zenon_L1255_); trivial. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.41/1.56 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.41/1.56 apply (zenon_L1267_); trivial. % 1.41/1.56 apply (zenon_L1260_); trivial. % 1.41/1.56 apply (zenon_L1254_); trivial. % 1.41/1.56 apply (zenon_L682_); trivial. % 1.41/1.56 apply (zenon_L1265_); trivial. % 1.41/1.56 apply (zenon_L1276_); trivial. % 1.41/1.56 apply (zenon_L1279_); trivial. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H2a6). zenon_intro zenon_H1a. zenon_intro zenon_H2a7. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H2a7). zenon_intro zenon_H120. zenon_intro zenon_H2a8. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H2a8). zenon_intro zenon_H121. zenon_intro zenon_H11f. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_Hb | zenon_intro zenon_H20e ]. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H3 | zenon_intro zenon_H216 ]. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H2d | zenon_intro zenon_H217 ]. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H91 | zenon_intro zenon_He5 ]. % 1.41/1.56 apply (zenon_L1288_); trivial. % 1.41/1.56 apply (zenon_and_s _ _ zenon_He5). zenon_intro zenon_H1a. zenon_intro zenon_He6. % 1.41/1.56 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_Hb0. zenon_intro zenon_He7. % 1.41/1.56 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hae. zenon_intro zenon_Haf. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H146 | zenon_intro zenon_H19f ]. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.41/1.56 apply (zenon_L1289_); trivial. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.41/1.56 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.41/1.56 apply (zenon_L1270_); trivial. % 1.41/1.56 apply (zenon_L1285_); trivial. % 1.41/1.56 apply (zenon_L1290_); trivial. % 1.41/1.56 apply (zenon_L1292_); trivial. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_H1a. zenon_intro zenon_H21a. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_Heb. zenon_intro zenon_H21b. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_He9. zenon_intro zenon_Hea. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H2d | zenon_intro zenon_H217 ]. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H91 | zenon_intro zenon_He5 ]. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H5 | zenon_intro zenon_H284 ]. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_H100 | zenon_intro zenon_H10d ]. % 1.41/1.56 apply (zenon_L1295_); trivial. % 1.41/1.56 apply (zenon_L1297_); trivial. % 1.41/1.56 apply (zenon_L1287_); trivial. % 1.41/1.56 apply (zenon_and_s _ _ zenon_He5). zenon_intro zenon_H1a. zenon_intro zenon_He6. % 1.41/1.56 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_Hb0. zenon_intro zenon_He7. % 1.41/1.56 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hae. zenon_intro zenon_Haf. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_H100 | zenon_intro zenon_H10d ]. % 1.41/1.56 apply (zenon_L1300_); trivial. % 1.41/1.56 apply (zenon_L1275_); trivial. % 1.41/1.56 apply (zenon_L1302_); trivial. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H20e). zenon_intro zenon_H1a. zenon_intro zenon_H20f. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H20f). zenon_intro zenon_H117. zenon_intro zenon_H210. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H210). zenon_intro zenon_H115. zenon_intro zenon_H116. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H3 | zenon_intro zenon_H216 ]. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H2d | zenon_intro zenon_H217 ]. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H91 | zenon_intro zenon_He5 ]. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H5 | zenon_intro zenon_H284 ]. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_H100 | zenon_intro zenon_H10d ]. % 1.41/1.56 apply (zenon_L74_); trivial. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_H1a. zenon_intro zenon_H10f. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H104. zenon_intro zenon_H110. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_H102. zenon_intro zenon_H103. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H146 | zenon_intro zenon_H19f ]. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.41/1.56 apply (zenon_L1255_); trivial. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.41/1.56 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.41/1.56 apply (zenon_L1284_); trivial. % 1.41/1.56 apply (zenon_L1254_); trivial. % 1.41/1.56 apply (zenon_L655_); trivial. % 1.41/1.56 apply (zenon_L1287_); trivial. % 1.41/1.56 apply (zenon_L1276_); trivial. % 1.41/1.56 apply (zenon_L1303_); trivial. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_H1a. zenon_intro zenon_H21a. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_Heb. zenon_intro zenon_H21b. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_He9. zenon_intro zenon_Hea. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H2d | zenon_intro zenon_H217 ]. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H91 | zenon_intro zenon_He5 ]. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H5 | zenon_intro zenon_H284 ]. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_H100 | zenon_intro zenon_H10d ]. % 1.41/1.56 apply (zenon_L74_); trivial. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_H1a. zenon_intro zenon_H10f. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H104. zenon_intro zenon_H110. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_H102. zenon_intro zenon_H103. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H146 | zenon_intro zenon_H19f ]. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.41/1.56 apply (zenon_L1255_); trivial. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.41/1.56 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.41/1.56 apply (zenon_L1267_); trivial. % 1.41/1.56 apply (zenon_L1296_); trivial. % 1.41/1.56 apply (zenon_L1294_); trivial. % 1.41/1.56 apply (zenon_L670_); trivial. % 1.41/1.56 apply (zenon_L1265_); trivial. % 1.41/1.56 apply (zenon_L1276_); trivial. % 1.41/1.56 apply (zenon_L1302_); trivial. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H364). zenon_intro zenon_H1a. zenon_intro zenon_H365. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H365). zenon_intro zenon_H288. zenon_intro zenon_H366. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H366). zenon_intro zenon_H289. zenon_intro zenon_H29c. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H31f); [ zenon_intro zenon_Hd | zenon_intro zenon_H2f8 ]. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H321); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H2f5 ]. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H1 | zenon_intro zenon_H2a6 ]. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_Hb | zenon_intro zenon_H20e ]. % 1.41/1.56 apply (zenon_L1177_); trivial. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H20e). zenon_intro zenon_H1a. zenon_intro zenon_H20f. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H20f). zenon_intro zenon_H117. zenon_intro zenon_H210. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H210). zenon_intro zenon_H115. zenon_intro zenon_H116. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H3 | zenon_intro zenon_H216 ]. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H2d | zenon_intro zenon_H217 ]. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H5 | zenon_intro zenon_H284 ]. % 1.41/1.56 apply (zenon_L4_); trivial. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H284). zenon_intro zenon_H1a. zenon_intro zenon_H285. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_H80. zenon_intro zenon_H286. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H286). zenon_intro zenon_H89. zenon_intro zenon_H81. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_H100 | zenon_intro zenon_H10d ]. % 1.41/1.56 apply (zenon_L74_); trivial. % 1.41/1.56 apply (zenon_L1305_); trivial. % 1.41/1.56 apply (zenon_L1306_); trivial. % 1.41/1.56 apply (zenon_L1312_); trivial. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H2a6). zenon_intro zenon_H1a. zenon_intro zenon_H2a7. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H2a7). zenon_intro zenon_H120. zenon_intro zenon_H2a8. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H2a8). zenon_intro zenon_H121. zenon_intro zenon_H11f. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_Hb | zenon_intro zenon_H20e ]. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H3 | zenon_intro zenon_H216 ]. % 1.41/1.56 apply (zenon_L1196_); trivial. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_H1a. zenon_intro zenon_H21a. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_Heb. zenon_intro zenon_H21b. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_He9. zenon_intro zenon_Hea. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H2d | zenon_intro zenon_H217 ]. % 1.41/1.56 apply (zenon_L1208_); trivial. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H1a. zenon_intro zenon_H218. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_He0. zenon_intro zenon_H219. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_Hc2. zenon_intro zenon_Hc1. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H91 | zenon_intro zenon_He5 ]. % 1.41/1.56 apply (zenon_L1193_); trivial. % 1.41/1.56 apply (zenon_and_s _ _ zenon_He5). zenon_intro zenon_H1a. zenon_intro zenon_He6. % 1.41/1.56 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_Hb0. zenon_intro zenon_He7. % 1.41/1.56 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hae. zenon_intro zenon_Haf. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_H100 | zenon_intro zenon_H10d ]. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H20a); [ zenon_intro zenon_H1fd | zenon_intro zenon_H20b ]. % 1.41/1.56 apply (zenon_L196_); trivial. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H20b). zenon_intro zenon_H1a. zenon_intro zenon_H20c. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H20c). zenon_intro zenon_H203. zenon_intro zenon_H20d. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H20d). zenon_intro zenon_H201. zenon_intro zenon_H202. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.41/1.56 apply (zenon_L201_); trivial. % 1.41/1.56 apply (zenon_L1314_); trivial. % 1.41/1.56 apply (zenon_L1214_); trivial. % 1.41/1.56 apply (zenon_L1232_); trivial. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H2f5). zenon_intro zenon_H1a. zenon_intro zenon_H2f6. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H2f6). zenon_intro zenon_H234. zenon_intro zenon_H2f7. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H2f7). zenon_intro zenon_H235. zenon_intro zenon_H233. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H1 | zenon_intro zenon_H2a6 ]. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_Hb | zenon_intro zenon_H20e ]. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H3 | zenon_intro zenon_H216 ]. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H2d | zenon_intro zenon_H217 ]. % 1.41/1.56 apply (zenon_L245_); trivial. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H1a. zenon_intro zenon_H218. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_He0. zenon_intro zenon_H219. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_Hc2. zenon_intro zenon_Hc1. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H91 | zenon_intro zenon_He5 ]. % 1.41/1.56 apply (zenon_L1158_); trivial. % 1.41/1.56 apply (zenon_L1315_); trivial. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_H1a. zenon_intro zenon_H21a. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_Heb. zenon_intro zenon_H21b. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_He9. zenon_intro zenon_Hea. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H2d | zenon_intro zenon_H217 ]. % 1.41/1.56 apply (zenon_L245_); trivial. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H1a. zenon_intro zenon_H218. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_He0. zenon_intro zenon_H219. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_Hc2. zenon_intro zenon_Hc1. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H91 | zenon_intro zenon_He5 ]. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_H100 | zenon_intro zenon_H10d ]. % 1.41/1.56 apply (zenon_L1168_); trivial. % 1.41/1.56 apply (zenon_L1317_); trivial. % 1.41/1.56 apply (zenon_L62_); trivial. % 1.41/1.56 apply (zenon_L1320_); trivial. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H2a6). zenon_intro zenon_H1a. zenon_intro zenon_H2a7. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H2a7). zenon_intro zenon_H120. zenon_intro zenon_H2a8. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H2a8). zenon_intro zenon_H121. zenon_intro zenon_H11f. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_Hb | zenon_intro zenon_H20e ]. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H3 | zenon_intro zenon_H216 ]. % 1.41/1.56 apply (zenon_L1325_); trivial. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_H1a. zenon_intro zenon_H21a. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_Heb. zenon_intro zenon_H21b. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_He9. zenon_intro zenon_Hea. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H2d | zenon_intro zenon_H217 ]. % 1.41/1.56 apply (zenon_L245_); trivial. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H217). zenon_intro zenon_H1a. zenon_intro zenon_H218. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_He0. zenon_intro zenon_H219. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_Hc2. zenon_intro zenon_Hc1. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H91 | zenon_intro zenon_He5 ]. % 1.41/1.56 apply (zenon_L1324_); trivial. % 1.41/1.56 apply (zenon_and_s _ _ zenon_He5). zenon_intro zenon_H1a. zenon_intro zenon_He6. % 1.41/1.56 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_Hb0. zenon_intro zenon_He7. % 1.41/1.56 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hae. zenon_intro zenon_Haf. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_H100 | zenon_intro zenon_H10d ]. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.41/1.56 apply (zenon_L279_); trivial. % 1.41/1.56 apply (zenon_L1327_); trivial. % 1.41/1.56 apply (zenon_L1214_); trivial. % 1.41/1.56 apply (zenon_L1328_); trivial. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H2f8). zenon_intro zenon_H1a. zenon_intro zenon_H2f9. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H2f9). zenon_intro zenon_H255. zenon_intro zenon_H2fa. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H2fa). zenon_intro zenon_H256. zenon_intro zenon_H254. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H1 | zenon_intro zenon_H2a6 ]. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_Hb | zenon_intro zenon_H20e ]. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H3 | zenon_intro zenon_H216 ]. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H2d | zenon_intro zenon_H217 ]. % 1.41/1.56 apply (zenon_L1233_); trivial. % 1.41/1.56 apply (zenon_L632_); trivial. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_H1a. zenon_intro zenon_H21a. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_Heb. zenon_intro zenon_H21b. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_He9. zenon_intro zenon_Hea. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H2d | zenon_intro zenon_H217 ]. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H91 | zenon_intro zenon_He5 ]. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H5 | zenon_intro zenon_H284 ]. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_H100 | zenon_intro zenon_H10d ]. % 1.41/1.56 apply (zenon_L1253_); trivial. % 1.41/1.56 apply (zenon_L1329_); trivial. % 1.41/1.56 apply (zenon_L1264_); trivial. % 1.41/1.56 apply (zenon_L62_); trivial. % 1.41/1.56 apply (zenon_L1330_); trivial. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H20e). zenon_intro zenon_H1a. zenon_intro zenon_H20f. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H20f). zenon_intro zenon_H117. zenon_intro zenon_H210. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H210). zenon_intro zenon_H115. zenon_intro zenon_H116. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H3 | zenon_intro zenon_H216 ]. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H2d | zenon_intro zenon_H217 ]. % 1.41/1.56 apply (zenon_L1266_); trivial. % 1.41/1.56 apply (zenon_L651_); trivial. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_H1a. zenon_intro zenon_H21a. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_Heb. zenon_intro zenon_H21b. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_He9. zenon_intro zenon_Hea. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H2d | zenon_intro zenon_H217 ]. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H91 | zenon_intro zenon_He5 ]. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H5 | zenon_intro zenon_H284 ]. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_H100 | zenon_intro zenon_H10d ]. % 1.41/1.56 apply (zenon_L74_); trivial. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_H1a. zenon_intro zenon_H10f. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H104. zenon_intro zenon_H110. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_H102. zenon_intro zenon_H103. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H146 | zenon_intro zenon_H19f ]. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.41/1.56 apply (zenon_L1255_); trivial. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.41/1.56 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.41/1.56 apply (zenon_L1267_); trivial. % 1.41/1.56 apply (zenon_L641_); trivial. % 1.41/1.56 apply (zenon_L1254_); trivial. % 1.41/1.56 apply (zenon_L682_); trivial. % 1.41/1.56 apply (zenon_L1265_); trivial. % 1.41/1.56 apply (zenon_L62_); trivial. % 1.41/1.56 apply (zenon_L1330_); trivial. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H2a6). zenon_intro zenon_H1a. zenon_intro zenon_H2a7. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H2a7). zenon_intro zenon_H120. zenon_intro zenon_H2a8. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H2a8). zenon_intro zenon_H121. zenon_intro zenon_H11f. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_Hb | zenon_intro zenon_H20e ]. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H3 | zenon_intro zenon_H216 ]. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H2d | zenon_intro zenon_H217 ]. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H91 | zenon_intro zenon_He5 ]. % 1.41/1.56 apply (zenon_L1288_); trivial. % 1.41/1.56 apply (zenon_L1334_); trivial. % 1.41/1.56 apply (zenon_L632_); trivial. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_H1a. zenon_intro zenon_H21a. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_Heb. zenon_intro zenon_H21b. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_He9. zenon_intro zenon_Hea. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H2d | zenon_intro zenon_H217 ]. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H91 | zenon_intro zenon_He5 ]. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H5 | zenon_intro zenon_H284 ]. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_H100 | zenon_intro zenon_H10d ]. % 1.41/1.56 apply (zenon_L1295_); trivial. % 1.41/1.56 apply (zenon_L1335_); trivial. % 1.41/1.56 apply (zenon_L1287_); trivial. % 1.41/1.56 apply (zenon_and_s _ _ zenon_He5). zenon_intro zenon_H1a. zenon_intro zenon_He6. % 1.41/1.56 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_Hb0. zenon_intro zenon_He7. % 1.41/1.56 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hae. zenon_intro zenon_Haf. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_H100 | zenon_intro zenon_H10d ]. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H146 | zenon_intro zenon_H19f ]. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.41/1.56 apply (zenon_L1289_); trivial. % 1.41/1.56 apply (zenon_L1336_); trivial. % 1.41/1.56 apply (zenon_L1299_); trivial. % 1.41/1.56 apply (zenon_L1337_); trivial. % 1.41/1.56 apply (zenon_L1330_); trivial. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H20e). zenon_intro zenon_H1a. zenon_intro zenon_H20f. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H20f). zenon_intro zenon_H117. zenon_intro zenon_H210. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H210). zenon_intro zenon_H115. zenon_intro zenon_H116. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H3 | zenon_intro zenon_H216 ]. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H2d | zenon_intro zenon_H217 ]. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H91 | zenon_intro zenon_He5 ]. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H5 | zenon_intro zenon_H284 ]. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_H100 | zenon_intro zenon_H10d ]. % 1.41/1.56 apply (zenon_L74_); trivial. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_H1a. zenon_intro zenon_H10f. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H104. zenon_intro zenon_H110. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_H102. zenon_intro zenon_H103. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H146 | zenon_intro zenon_H19f ]. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.41/1.56 apply (zenon_L411_); trivial. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.41/1.56 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.41/1.56 apply (zenon_L1267_); trivial. % 1.41/1.56 apply (zenon_L1339_); trivial. % 1.41/1.56 apply (zenon_L1294_); trivial. % 1.41/1.56 apply (zenon_L655_); trivial. % 1.41/1.56 apply (zenon_L1287_); trivial. % 1.41/1.56 apply (zenon_L1340_); trivial. % 1.41/1.56 apply (zenon_L651_); trivial. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_H1a. zenon_intro zenon_H21a. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_Heb. zenon_intro zenon_H21b. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_He9. zenon_intro zenon_Hea. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H2d | zenon_intro zenon_H217 ]. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H91 | zenon_intro zenon_He5 ]. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H5 | zenon_intro zenon_H284 ]. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_H100 | zenon_intro zenon_H10d ]. % 1.41/1.56 apply (zenon_L74_); trivial. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H10d). zenon_intro zenon_H1a. zenon_intro zenon_H10f. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H104. zenon_intro zenon_H110. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_H102. zenon_intro zenon_H103. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H146 | zenon_intro zenon_H19f ]. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.41/1.56 apply (zenon_L411_); trivial. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.41/1.56 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.41/1.56 apply (zenon_L1267_); trivial. % 1.41/1.56 apply (zenon_L666_); trivial. % 1.41/1.56 apply (zenon_L1294_); trivial. % 1.41/1.56 apply (zenon_L670_); trivial. % 1.41/1.56 apply (zenon_L1287_); trivial. % 1.41/1.56 apply (zenon_L1340_); trivial. % 1.41/1.56 apply (zenon_L1330_); trivial. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H363). zenon_intro zenon_H1a. zenon_intro zenon_H367. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H367). zenon_intro zenon_H2c2. zenon_intro zenon_H368. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H368). zenon_intro zenon_H2b9. zenon_intro zenon_H2ba. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H31f); [ zenon_intro zenon_Hd | zenon_intro zenon_H2f8 ]. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H323); [ zenon_intro zenon_H2b | zenon_intro zenon_H2f1 ]. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H1 | zenon_intro zenon_H2a6 ]. % 1.41/1.56 apply (zenon_L1357_); trivial. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H2a6). zenon_intro zenon_H1a. zenon_intro zenon_H2a7. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H2a7). zenon_intro zenon_H120. zenon_intro zenon_H2a8. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H2a8). zenon_intro zenon_H121. zenon_intro zenon_H11f. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_Hb | zenon_intro zenon_H20e ]. % 1.41/1.56 apply (zenon_L1365_); trivial. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H20e). zenon_intro zenon_H1a. zenon_intro zenon_H20f. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H20f). zenon_intro zenon_H117. zenon_intro zenon_H210. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H210). zenon_intro zenon_H115. zenon_intro zenon_H116. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H3 | zenon_intro zenon_H216 ]. % 1.41/1.56 apply (zenon_L1372_); trivial. % 1.41/1.56 apply (zenon_L1356_); trivial. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H2f1). zenon_intro zenon_H1a. zenon_intro zenon_H2f3. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H2f3). zenon_intro zenon_H228. zenon_intro zenon_H2f4. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H2f4). zenon_intro zenon_H220. zenon_intro zenon_H21f. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H1 | zenon_intro zenon_H2a6 ]. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_Hb | zenon_intro zenon_H20e ]. % 1.41/1.56 apply (zenon_L1381_); trivial. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H20e). zenon_intro zenon_H1a. zenon_intro zenon_H20f. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H20f). zenon_intro zenon_H117. zenon_intro zenon_H210. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H210). zenon_intro zenon_H115. zenon_intro zenon_H116. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H3 | zenon_intro zenon_H216 ]. % 1.41/1.56 apply (zenon_L1390_); trivial. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_H1a. zenon_intro zenon_H21a. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_Heb. zenon_intro zenon_H21b. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_He9. zenon_intro zenon_Hea. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H2d | zenon_intro zenon_H217 ]. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H91 | zenon_intro zenon_He5 ]. % 1.41/1.56 apply (zenon_L1392_); trivial. % 1.41/1.56 apply (zenon_L62_); trivial. % 1.41/1.56 apply (zenon_L1355_); trivial. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H2a6). zenon_intro zenon_H1a. zenon_intro zenon_H2a7. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H2a7). zenon_intro zenon_H120. zenon_intro zenon_H2a8. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H2a8). zenon_intro zenon_H121. zenon_intro zenon_H11f. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_Hb | zenon_intro zenon_H20e ]. % 1.41/1.56 apply (zenon_L1365_); trivial. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H20e). zenon_intro zenon_H1a. zenon_intro zenon_H20f. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H20f). zenon_intro zenon_H117. zenon_intro zenon_H210. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H210). zenon_intro zenon_H115. zenon_intro zenon_H116. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H3 | zenon_intro zenon_H216 ]. % 1.41/1.56 apply (zenon_L1372_); trivial. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_H1a. zenon_intro zenon_H21a. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_Heb. zenon_intro zenon_H21b. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_He9. zenon_intro zenon_Hea. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H2d | zenon_intro zenon_H217 ]. % 1.41/1.56 apply (zenon_L1218_); trivial. % 1.41/1.56 apply (zenon_L1402_); trivial. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H2f8). zenon_intro zenon_H1a. zenon_intro zenon_H2f9. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H2f9). zenon_intro zenon_H255. zenon_intro zenon_H2fa. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H2fa). zenon_intro zenon_H256. zenon_intro zenon_H254. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H323); [ zenon_intro zenon_H2b | zenon_intro zenon_H2f1 ]. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H1 | zenon_intro zenon_H2a6 ]. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H3 | zenon_intro zenon_H216 ]. % 1.41/1.56 apply (zenon_L1344_); trivial. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_H1a. zenon_intro zenon_H21a. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_Heb. zenon_intro zenon_H21b. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_He9. zenon_intro zenon_Hea. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H2d | zenon_intro zenon_H217 ]. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H91 | zenon_intro zenon_He5 ]. % 1.41/1.56 apply (zenon_L1406_); trivial. % 1.41/1.56 apply (zenon_L62_); trivial. % 1.41/1.56 apply (zenon_L1410_); trivial. % 1.41/1.56 apply (zenon_L1413_); trivial. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H2f1). zenon_intro zenon_H1a. zenon_intro zenon_H2f3. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H2f3). zenon_intro zenon_H228. zenon_intro zenon_H2f4. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H2f4). zenon_intro zenon_H220. zenon_intro zenon_H21f. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H1 | zenon_intro zenon_H2a6 ]. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H3 | zenon_intro zenon_H216 ]. % 1.41/1.56 apply (zenon_L1424_); trivial. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_H1a. zenon_intro zenon_H21a. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_Heb. zenon_intro zenon_H21b. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_He9. zenon_intro zenon_Hea. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H2d | zenon_intro zenon_H217 ]. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H91 | zenon_intro zenon_He5 ]. % 1.41/1.56 apply (zenon_L1425_); trivial. % 1.41/1.56 apply (zenon_L62_); trivial. % 1.41/1.56 apply (zenon_L1410_); trivial. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H2a6). zenon_intro zenon_H1a. zenon_intro zenon_H2a7. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H2a7). zenon_intro zenon_H120. zenon_intro zenon_H2a8. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H2a8). zenon_intro zenon_H121. zenon_intro zenon_H11f. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_Hb | zenon_intro zenon_H20e ]. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H3 | zenon_intro zenon_H216 ]. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H2d | zenon_intro zenon_H217 ]. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H91 | zenon_intro zenon_He5 ]. % 1.41/1.56 apply (zenon_L1431_); trivial. % 1.41/1.56 apply (zenon_and_s _ _ zenon_He5). zenon_intro zenon_H1a. zenon_intro zenon_He6. % 1.41/1.56 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_Hb0. zenon_intro zenon_He7. % 1.41/1.56 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hae. zenon_intro zenon_Haf. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H146 | zenon_intro zenon_H19f ]. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.41/1.56 apply (zenon_L1289_); trivial. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.41/1.56 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.41/1.56 apply (zenon_L1432_); trivial. % 1.41/1.56 apply (zenon_L1285_); trivial. % 1.41/1.56 apply (zenon_L1434_); trivial. % 1.41/1.56 apply (zenon_L1436_); trivial. % 1.41/1.56 apply (zenon_L1412_); trivial. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H20e). zenon_intro zenon_H1a. zenon_intro zenon_H20f. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H20f). zenon_intro zenon_H117. zenon_intro zenon_H210. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H210). zenon_intro zenon_H115. zenon_intro zenon_H116. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H3 | zenon_intro zenon_H216 ]. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H2d | zenon_intro zenon_H217 ]. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H91 | zenon_intro zenon_He5 ]. % 1.41/1.56 apply (zenon_L1439_); trivial. % 1.41/1.56 apply (zenon_and_s _ _ zenon_He5). zenon_intro zenon_H1a. zenon_intro zenon_He6. % 1.41/1.56 apply (zenon_and_s _ _ zenon_He6). zenon_intro zenon_Hb0. zenon_intro zenon_He7. % 1.41/1.56 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hae. zenon_intro zenon_Haf. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H5 | zenon_intro zenon_H284 ]. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H146 | zenon_intro zenon_H19f ]. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 1.41/1.56 apply (zenon_L1289_); trivial. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H9e). zenon_intro zenon_H1a. zenon_intro zenon_H9f. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H9f). zenon_intro zenon_H3c. zenon_intro zenon_Ha0. % 1.41/1.56 apply (zenon_and_s _ _ zenon_Ha0). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H144 | zenon_intro zenon_H176 ]. % 1.41/1.56 apply (zenon_L1440_); trivial. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H176). zenon_intro zenon_H1a. zenon_intro zenon_H178. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H16a. zenon_intro zenon_H179. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H171. zenon_intro zenon_H168. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1d7 ]. % 1.41/1.56 apply (zenon_L1271_); trivial. % 1.41/1.56 apply (zenon_L1433_); trivial. % 1.41/1.56 apply (zenon_L1434_); trivial. % 1.41/1.56 apply (zenon_L1443_); trivial. % 1.41/1.56 apply (zenon_L1436_); trivial. % 1.41/1.56 apply (zenon_L1412_); trivial. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H362). zenon_intro zenon_H1a. zenon_intro zenon_H369. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H369). zenon_intro zenon_H2d9. zenon_intro zenon_H36a. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H36a). zenon_intro zenon_H2d7. zenon_intro zenon_H2d8. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H31b); [ zenon_intro zenon_Hfe | zenon_intro zenon_H363 ]. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H31f); [ zenon_intro zenon_Hd | zenon_intro zenon_H2f8 ]. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H321); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H2f5 ]. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H323); [ zenon_intro zenon_H2b | zenon_intro zenon_H2f1 ]. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H1 | zenon_intro zenon_H2a6 ]. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_Hb | zenon_intro zenon_H20e ]. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H3 | zenon_intro zenon_H216 ]. % 1.41/1.56 apply (zenon_L1039_); trivial. % 1.41/1.56 apply (zenon_L1453_); trivial. % 1.41/1.56 apply (zenon_L1459_); trivial. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H2a6). zenon_intro zenon_H1a. zenon_intro zenon_H2a7. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H2a7). zenon_intro zenon_H120. zenon_intro zenon_H2a8. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H2a8). zenon_intro zenon_H121. zenon_intro zenon_H11f. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_Hb | zenon_intro zenon_H20e ]. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H3 | zenon_intro zenon_H216 ]. % 1.41/1.56 apply (zenon_L1461_); trivial. % 1.41/1.56 apply (zenon_L1453_); trivial. % 1.41/1.56 apply (zenon_L1459_); trivial. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H2f1). zenon_intro zenon_H1a. zenon_intro zenon_H2f3. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H2f3). zenon_intro zenon_H228. zenon_intro zenon_H2f4. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H2f4). zenon_intro zenon_H220. zenon_intro zenon_H21f. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H1 | zenon_intro zenon_H2a6 ]. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_Hb | zenon_intro zenon_H20e ]. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H3 | zenon_intro zenon_H216 ]. % 1.41/1.56 apply (zenon_L1068_); trivial. % 1.41/1.56 apply (zenon_L1453_); trivial. % 1.41/1.56 apply (zenon_L1459_); trivial. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H2a6). zenon_intro zenon_H1a. zenon_intro zenon_H2a7. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H2a7). zenon_intro zenon_H120. zenon_intro zenon_H2a8. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H2a8). zenon_intro zenon_H121. zenon_intro zenon_H11f. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_Hb | zenon_intro zenon_H20e ]. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H3 | zenon_intro zenon_H216 ]. % 1.41/1.56 apply (zenon_L1464_); trivial. % 1.41/1.56 apply (zenon_L1453_); trivial. % 1.41/1.56 apply (zenon_L1459_); trivial. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H2f5). zenon_intro zenon_H1a. zenon_intro zenon_H2f6. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H2f6). zenon_intro zenon_H234. zenon_intro zenon_H2f7. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H2f7). zenon_intro zenon_H235. zenon_intro zenon_H233. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H1 | zenon_intro zenon_H2a6 ]. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_Hb | zenon_intro zenon_H20e ]. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H3 | zenon_intro zenon_H216 ]. % 1.41/1.56 apply (zenon_L1084_); trivial. % 1.41/1.56 apply (zenon_L1466_); trivial. % 1.41/1.56 apply (zenon_L1468_); trivial. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H2a6). zenon_intro zenon_H1a. zenon_intro zenon_H2a7. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H2a7). zenon_intro zenon_H120. zenon_intro zenon_H2a8. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H2a8). zenon_intro zenon_H121. zenon_intro zenon_H11f. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_Hb | zenon_intro zenon_H20e ]. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H3 | zenon_intro zenon_H216 ]. % 1.41/1.56 apply (zenon_L1469_); trivial. % 1.41/1.56 apply (zenon_L1466_); trivial. % 1.41/1.56 apply (zenon_L1468_); trivial. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H2f8). zenon_intro zenon_H1a. zenon_intro zenon_H2f9. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H2f9). zenon_intro zenon_H255. zenon_intro zenon_H2fa. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H2fa). zenon_intro zenon_H256. zenon_intro zenon_H254. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H321); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H2f5 ]. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_Hb | zenon_intro zenon_H20e ]. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H3 | zenon_intro zenon_H216 ]. % 1.41/1.56 apply (zenon_L1085_); trivial. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H216). zenon_intro zenon_H1a. zenon_intro zenon_H21a. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_Heb. zenon_intro zenon_H21b. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_He9. zenon_intro zenon_Hea. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H2d | zenon_intro zenon_H217 ]. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_H100 | zenon_intro zenon_H10d ]. % 1.41/1.56 apply (zenon_L1041_); trivial. % 1.41/1.56 apply (zenon_L1471_); trivial. % 1.41/1.56 apply (zenon_L1138_); trivial. % 1.41/1.56 apply (zenon_L1472_); trivial. % 1.41/1.56 apply (zenon_L1139_); trivial. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H363). zenon_intro zenon_H1a. zenon_intro zenon_H367. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H367). zenon_intro zenon_H2c2. zenon_intro zenon_H368. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H368). zenon_intro zenon_H2b9. zenon_intro zenon_H2ba. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H31f); [ zenon_intro zenon_Hd | zenon_intro zenon_H2f8 ]. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_Hb | zenon_intro zenon_H20e ]. % 1.41/1.56 apply (zenon_L1142_); trivial. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H20e). zenon_intro zenon_H1a. zenon_intro zenon_H20f. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H20f). zenon_intro zenon_H117. zenon_intro zenon_H210. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H210). zenon_intro zenon_H115. zenon_intro zenon_H116. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H3 | zenon_intro zenon_H216 ]. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H2d | zenon_intro zenon_H217 ]. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H11 | zenon_intro zenon_H41 ]. % 1.41/1.56 apply (zenon_L1366_); trivial. % 1.41/1.56 apply (zenon_L1143_); trivial. % 1.41/1.56 apply (zenon_L1145_); trivial. % 1.41/1.56 apply (zenon_L1141_); trivial. % 1.41/1.56 apply (zenon_L1146_); trivial. % 1.41/1.56 Qed. % 1.41/1.56 % SZS output end Proof % 1.41/1.56 (* END-PROOF *) % 1.41/1.56 nodes searched: 56026 % 1.41/1.56 max branch formulas: 476 % 1.41/1.56 proof nodes created: 12392 % 1.41/1.56 formulas created: 52787 % 1.41/1.56 %------------------------------------------------------------------------------