%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : ALG123+1 : TPTP v8.1.0. Released v2.7.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n022.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 14 18:29:34 EDT 2022 % Result : Theorem 23.45s 23.70s % Output : Proof 23.65s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.11 % Problem : ALG123+1 : TPTP v8.1.0. Released v2.7.0. % 0.12/0.12 % Command : run_zenon %s %d % 0.12/0.33 % Computer : n022.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 : Wed Jun 8 10:47:50 EDT 2022 % 0.12/0.33 % CPUTime : % 23.45/23.70 (* PROOF-FOUND *) % 23.45/23.70 % SZS status Theorem % 23.45/23.70 (* BEGIN-PROOF *) % 23.45/23.70 % SZS output start Proof % 23.45/23.70 Theorem co1 : ((((h1 (op1 (e10) (e10))) = (op2 (h1 (e10)) (h1 (e10))))/\(((h1 (op1 (e10) (e11))) = (op2 (h1 (e10)) (h1 (e11))))/\(((h1 (op1 (e10) (e12))) = (op2 (h1 (e10)) (h1 (e12))))/\(((h1 (op1 (e10) (e13))) = (op2 (h1 (e10)) (h1 (e13))))/\(((h1 (op1 (e11) (e10))) = (op2 (h1 (e11)) (h1 (e10))))/\(((h1 (op1 (e11) (e11))) = (op2 (h1 (e11)) (h1 (e11))))/\(((h1 (op1 (e11) (e12))) = (op2 (h1 (e11)) (h1 (e12))))/\(((h1 (op1 (e11) (e13))) = (op2 (h1 (e11)) (h1 (e13))))/\(((h1 (op1 (e12) (e10))) = (op2 (h1 (e12)) (h1 (e10))))/\(((h1 (op1 (e12) (e11))) = (op2 (h1 (e12)) (h1 (e11))))/\(((h1 (op1 (e12) (e12))) = (op2 (h1 (e12)) (h1 (e12))))/\(((h1 (op1 (e12) (e13))) = (op2 (h1 (e12)) (h1 (e13))))/\(((h1 (op1 (e13) (e10))) = (op2 (h1 (e13)) (h1 (e10))))/\(((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11))))/\(((h1 (op1 (e13) (e12))) = (op2 (h1 (e13)) (h1 (e12))))/\(((h1 (op1 (e13) (e13))) = (op2 (h1 (e13)) (h1 (e13))))/\((((h1 (e10)) = (e20))\/(((h1 (e11)) = (e20))\/(((h1 (e12)) = (e20))\/((h1 (e13)) = (e20)))))/\((((h1 (e10)) = (e21))\/(((h1 (e11)) = (e21))\/(((h1 (e12)) = (e21))\/((h1 (e13)) = (e21)))))/\((((h1 (e10)) = (e22))\/(((h1 (e11)) = (e22))\/(((h1 (e12)) = (e22))\/((h1 (e13)) = (e22)))))/\(((h1 (e10)) = (e23))\/(((h1 (e11)) = (e23))\/(((h1 (e12)) = (e23))\/((h1 (e13)) = (e23))))))))))))))))))))))))\/((((h2 (op1 (e10) (e10))) = (op2 (h2 (e10)) (h2 (e10))))/\(((h2 (op1 (e10) (e11))) = (op2 (h2 (e10)) (h2 (e11))))/\(((h2 (op1 (e10) (e12))) = (op2 (h2 (e10)) (h2 (e12))))/\(((h2 (op1 (e10) (e13))) = (op2 (h2 (e10)) (h2 (e13))))/\(((h2 (op1 (e11) (e10))) = (op2 (h2 (e11)) (h2 (e10))))/\(((h2 (op1 (e11) (e11))) = (op2 (h2 (e11)) (h2 (e11))))/\(((h2 (op1 (e11) (e12))) = (op2 (h2 (e11)) (h2 (e12))))/\(((h2 (op1 (e11) (e13))) = (op2 (h2 (e11)) (h2 (e13))))/\(((h2 (op1 (e12) (e10))) = (op2 (h2 (e12)) (h2 (e10))))/\(((h2 (op1 (e12) (e11))) = (op2 (h2 (e12)) (h2 (e11))))/\(((h2 (op1 (e12) (e12))) = (op2 (h2 (e12)) (h2 (e12))))/\(((h2 (op1 (e12) (e13))) = (op2 (h2 (e12)) (h2 (e13))))/\(((h2 (op1 (e13) (e10))) = (op2 (h2 (e13)) (h2 (e10))))/\(((h2 (op1 (e13) (e11))) = (op2 (h2 (e13)) (h2 (e11))))/\(((h2 (op1 (e13) (e12))) = (op2 (h2 (e13)) (h2 (e12))))/\(((h2 (op1 (e13) (e13))) = (op2 (h2 (e13)) (h2 (e13))))/\((((h2 (e10)) = (e20))\/(((h2 (e11)) = (e20))\/(((h2 (e12)) = (e20))\/((h2 (e13)) = (e20)))))/\((((h2 (e10)) = (e21))\/(((h2 (e11)) = (e21))\/(((h2 (e12)) = (e21))\/((h2 (e13)) = (e21)))))/\((((h2 (e10)) = (e22))\/(((h2 (e11)) = (e22))\/(((h2 (e12)) = (e22))\/((h2 (e13)) = (e22)))))/\(((h2 (e10)) = (e23))\/(((h2 (e11)) = (e23))\/(((h2 (e12)) = (e23))\/((h2 (e13)) = (e23))))))))))))))))))))))))\/((((h3 (op1 (e10) (e10))) = (op2 (h3 (e10)) (h3 (e10))))/\(((h3 (op1 (e10) (e11))) = (op2 (h3 (e10)) (h3 (e11))))/\(((h3 (op1 (e10) (e12))) = (op2 (h3 (e10)) (h3 (e12))))/\(((h3 (op1 (e10) (e13))) = (op2 (h3 (e10)) (h3 (e13))))/\(((h3 (op1 (e11) (e10))) = (op2 (h3 (e11)) (h3 (e10))))/\(((h3 (op1 (e11) (e11))) = (op2 (h3 (e11)) (h3 (e11))))/\(((h3 (op1 (e11) (e12))) = (op2 (h3 (e11)) (h3 (e12))))/\(((h3 (op1 (e11) (e13))) = (op2 (h3 (e11)) (h3 (e13))))/\(((h3 (op1 (e12) (e10))) = (op2 (h3 (e12)) (h3 (e10))))/\(((h3 (op1 (e12) (e11))) = (op2 (h3 (e12)) (h3 (e11))))/\(((h3 (op1 (e12) (e12))) = (op2 (h3 (e12)) (h3 (e12))))/\(((h3 (op1 (e12) (e13))) = (op2 (h3 (e12)) (h3 (e13))))/\(((h3 (op1 (e13) (e10))) = (op2 (h3 (e13)) (h3 (e10))))/\(((h3 (op1 (e13) (e11))) = (op2 (h3 (e13)) (h3 (e11))))/\(((h3 (op1 (e13) (e12))) = (op2 (h3 (e13)) (h3 (e12))))/\(((h3 (op1 (e13) (e13))) = (op2 (h3 (e13)) (h3 (e13))))/\((((h3 (e10)) = (e20))\/(((h3 (e11)) = (e20))\/(((h3 (e12)) = (e20))\/((h3 (e13)) = (e20)))))/\((((h3 (e10)) = (e21))\/(((h3 (e11)) = (e21))\/(((h3 (e12)) = (e21))\/((h3 (e13)) = (e21)))))/\((((h3 (e10)) = (e22))\/(((h3 (e11)) = (e22))\/(((h3 (e12)) = (e22))\/((h3 (e13)) = (e22)))))/\(((h3 (e10)) = (e23))\/(((h3 (e11)) = (e23))\/(((h3 (e12)) = (e23))\/((h3 (e13)) = (e23))))))))))))))))))))))))\/(((h4 (op1 (e10) (e10))) = (op2 (h4 (e10)) (h4 (e10))))/\(((h4 (op1 (e10) (e11))) = (op2 (h4 (e10)) (h4 (e11))))/\(((h4 (op1 (e10) (e12))) = (op2 (h4 (e10)) (h4 (e12))))/\(((h4 (op1 (e10) (e13))) = (op2 (h4 (e10)) (h4 (e13))))/\(((h4 (op1 (e11) (e10))) = (op2 (h4 (e11)) (h4 (e10))))/\(((h4 (op1 (e11) (e11))) = (op2 (h4 (e11)) (h4 (e11))))/\(((h4 (op1 (e11) (e12))) = (op2 (h4 (e11)) (h4 (e12))))/\(((h4 (op1 (e11) (e13))) = (op2 (h4 (e11)) (h4 (e13))))/\(((h4 (op1 (e12) (e10))) = (op2 (h4 (e12)) (h4 (e10))))/\(((h4 (op1 (e12) (e11))) = (op2 (h4 (e12)) (h4 (e11))))/\(((h4 (op1 (e12) (e12))) = (op2 (h4 (e12)) (h4 (e12))))/\(((h4 (op1 (e12) (e13))) = (op2 (h4 (e12)) (h4 (e13))))/\(((h4 (op1 (e13) (e10))) = (op2 (h4 (e13)) (h4 (e10))))/\(((h4 (op1 (e13) (e11))) = (op2 (h4 (e13)) (h4 (e11))))/\(((h4 (op1 (e13) (e12))) = (op2 (h4 (e13)) (h4 (e12))))/\(((h4 (op1 (e13) (e13))) = (op2 (h4 (e13)) (h4 (e13))))/\((((h4 (e10)) = (e20))\/(((h4 (e11)) = (e20))\/(((h4 (e12)) = (e20))\/((h4 (e13)) = (e20)))))/\((((h4 (e10)) = (e21))\/(((h4 (e11)) = (e21))\/(((h4 (e12)) = (e21))\/((h4 (e13)) = (e21)))))/\((((h4 (e10)) = (e22))\/(((h4 (e11)) = (e22))\/(((h4 (e12)) = (e22))\/((h4 (e13)) = (e22)))))/\(((h4 (e10)) = (e23))\/(((h4 (e11)) = (e23))\/(((h4 (e12)) = (e23))\/((h4 (e13)) = (e23))))))))))))))))))))))))))). % 23.45/23.70 Proof. % 23.45/23.70 assert (zenon_L1_ : ((~((op2 (e23) (e23)) = (e20)))\/(~((op2 (e23) (e20)) = (e23)))) -> ((~((op2 (e23) (e23)) = (e20)))\/((op2 (e23) (e20)) = (e23))) -> ((e20) = (op2 (e23) (e23))) -> False). % 23.45/23.70 do 0 intro. intros zenon_H12 zenon_H13 zenon_H14. % 23.45/23.70 apply (zenon_or_s _ _ zenon_H12); [ zenon_intro zenon_H16 | zenon_intro zenon_H15 ]. % 23.45/23.70 apply zenon_H16. apply sym_equal. exact zenon_H14. % 23.45/23.70 apply (zenon_or_s _ _ zenon_H13); [ zenon_intro zenon_H16 | zenon_intro zenon_H17 ]. % 23.45/23.70 apply zenon_H16. apply sym_equal. exact zenon_H14. % 23.45/23.70 exact (zenon_H15 zenon_H17). % 23.45/23.70 (* end of lemma zenon_L1_ *) % 23.45/23.70 assert (zenon_L2_ : (((op2 (e20) (e20)) = (e20))/\(((~((op2 (e20) (e20)) = (e20)))\/(~((op2 (e20) (e20)) = (e20))))/\(((~((op2 (e21) (e21)) = (e20)))\/(~((op2 (e21) (e20)) = (e21))))/\(((~((op2 (e22) (e22)) = (e20)))\/(~((op2 (e22) (e20)) = (e22))))/\((~((op2 (e23) (e23)) = (e20)))\/(~((op2 (e23) (e20)) = (e23)))))))) -> ((~((op2 (e23) (e23)) = (e20)))\/((op2 (e23) (e20)) = (e23))) -> ((e20) = (op2 (e23) (e23))) -> False). % 23.45/23.70 do 0 intro. intros zenon_H18 zenon_H13 zenon_H14. % 23.45/23.70 apply (zenon_and_s _ _ zenon_H18). zenon_intro zenon_H1a. zenon_intro zenon_H19. % 23.45/23.70 apply (zenon_and_s _ _ zenon_H19). zenon_intro zenon_H1c. zenon_intro zenon_H1b. % 23.45/23.70 apply (zenon_and_s _ _ zenon_H1b). zenon_intro zenon_H1e. zenon_intro zenon_H1d. % 23.45/23.70 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H1f. zenon_intro zenon_H12. % 23.45/23.70 apply (zenon_L1_); trivial. % 23.45/23.70 (* end of lemma zenon_L2_ *) % 23.45/23.70 assert (zenon_L3_ : (((op2 (e20) (e21)) = (e21))/\(((~((op2 (e20) (e20)) = (e20)))\/(~((op2 (e20) (e20)) = (e20))))/\(((~((op2 (e21) (e21)) = (e20)))\/(~((op2 (e21) (e20)) = (e21))))/\(((~((op2 (e22) (e22)) = (e20)))\/(~((op2 (e22) (e20)) = (e22))))/\((~((op2 (e23) (e23)) = (e20)))\/(~((op2 (e23) (e20)) = (e23)))))))) -> ((~((op2 (e23) (e23)) = (e20)))\/((op2 (e23) (e20)) = (e23))) -> ((e20) = (op2 (e23) (e23))) -> False). % 23.45/23.70 do 0 intro. intros zenon_H20 zenon_H13 zenon_H14. % 23.45/23.70 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H21. zenon_intro zenon_H19. % 23.45/23.70 apply (zenon_and_s _ _ zenon_H19). zenon_intro zenon_H1c. zenon_intro zenon_H1b. % 23.45/23.70 apply (zenon_and_s _ _ zenon_H1b). zenon_intro zenon_H1e. zenon_intro zenon_H1d. % 23.45/23.70 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H1f. zenon_intro zenon_H12. % 23.45/23.70 apply (zenon_L1_); trivial. % 23.45/23.70 (* end of lemma zenon_L3_ *) % 23.45/23.70 assert (zenon_L4_ : (((op2 (e20) (e22)) = (e22))/\(((~((op2 (e20) (e20)) = (e20)))\/(~((op2 (e20) (e20)) = (e20))))/\(((~((op2 (e21) (e21)) = (e20)))\/(~((op2 (e21) (e20)) = (e21))))/\(((~((op2 (e22) (e22)) = (e20)))\/(~((op2 (e22) (e20)) = (e22))))/\((~((op2 (e23) (e23)) = (e20)))\/(~((op2 (e23) (e20)) = (e23)))))))) -> ((~((op2 (e23) (e23)) = (e20)))\/((op2 (e23) (e20)) = (e23))) -> ((e20) = (op2 (e23) (e23))) -> False). % 23.45/23.70 do 0 intro. intros zenon_H22 zenon_H13 zenon_H14. % 23.45/23.70 apply (zenon_and_s _ _ zenon_H22). zenon_intro zenon_H23. zenon_intro zenon_H19. % 23.45/23.70 apply (zenon_and_s _ _ zenon_H19). zenon_intro zenon_H1c. zenon_intro zenon_H1b. % 23.45/23.70 apply (zenon_and_s _ _ zenon_H1b). zenon_intro zenon_H1e. zenon_intro zenon_H1d. % 23.45/23.70 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H1f. zenon_intro zenon_H12. % 23.45/23.70 apply (zenon_L1_); trivial. % 23.45/23.70 (* end of lemma zenon_L4_ *) % 23.45/23.70 assert (zenon_L5_ : (((op2 (e20) (e23)) = (e23))/\(((~((op2 (e20) (e20)) = (e20)))\/(~((op2 (e20) (e20)) = (e20))))/\(((~((op2 (e21) (e21)) = (e20)))\/(~((op2 (e21) (e20)) = (e21))))/\(((~((op2 (e22) (e22)) = (e20)))\/(~((op2 (e22) (e20)) = (e22))))/\((~((op2 (e23) (e23)) = (e20)))\/(~((op2 (e23) (e20)) = (e23)))))))) -> ((~((op2 (e23) (e23)) = (e20)))\/((op2 (e23) (e20)) = (e23))) -> ((e20) = (op2 (e23) (e23))) -> False). % 23.45/23.70 do 0 intro. intros zenon_H24 zenon_H13 zenon_H14. % 23.45/23.70 apply (zenon_and_s _ _ zenon_H24). zenon_intro zenon_H25. zenon_intro zenon_H19. % 23.45/23.70 apply (zenon_and_s _ _ zenon_H19). zenon_intro zenon_H1c. zenon_intro zenon_H1b. % 23.45/23.70 apply (zenon_and_s _ _ zenon_H1b). zenon_intro zenon_H1e. zenon_intro zenon_H1d. % 23.45/23.70 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H1f. zenon_intro zenon_H12. % 23.45/23.70 apply (zenon_L1_); trivial. % 23.45/23.70 (* end of lemma zenon_L5_ *) % 23.45/23.70 assert (zenon_L6_ : ((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13)))) -> ((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))) -> ((e10) = (op1 (e13) (e13))) -> False). % 23.45/23.70 do 0 intro. intros zenon_H26 zenon_H27 zenon_H28. % 23.45/23.70 apply (zenon_or_s _ _ zenon_H26); [ zenon_intro zenon_H2a | zenon_intro zenon_H29 ]. % 23.45/23.70 apply zenon_H2a. apply sym_equal. exact zenon_H28. % 23.45/23.70 apply (zenon_or_s _ _ zenon_H27); [ zenon_intro zenon_H2a | zenon_intro zenon_H2b ]. % 23.45/23.70 apply zenon_H2a. apply sym_equal. exact zenon_H28. % 23.45/23.70 exact (zenon_H29 zenon_H2b). % 23.45/23.70 (* end of lemma zenon_L6_ *) % 23.45/23.70 assert (zenon_L7_ : (((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13)))))))) -> ((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))) -> ((e10) = (op1 (e13) (e13))) -> False). % 23.45/23.70 do 0 intro. intros zenon_H2c zenon_H27 zenon_H28. % 23.45/23.70 apply (zenon_and_s _ _ zenon_H2c). zenon_intro zenon_H2e. zenon_intro zenon_H2d. % 23.45/23.70 apply (zenon_and_s _ _ zenon_H2d). zenon_intro zenon_H30. zenon_intro zenon_H2f. % 23.45/23.70 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_H32. zenon_intro zenon_H31. % 23.45/23.70 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_H33. zenon_intro zenon_H26. % 23.45/23.70 apply (zenon_L6_); trivial. % 23.45/23.70 (* end of lemma zenon_L7_ *) % 23.45/23.70 assert (zenon_L8_ : (((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13)))))))) -> ((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))) -> ((e10) = (op1 (e13) (e13))) -> False). % 23.45/23.70 do 0 intro. intros zenon_H34 zenon_H27 zenon_H28. % 23.45/23.70 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H35. zenon_intro zenon_H2d. % 23.45/23.70 apply (zenon_and_s _ _ zenon_H2d). zenon_intro zenon_H30. zenon_intro zenon_H2f. % 23.45/23.70 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_H32. zenon_intro zenon_H31. % 23.45/23.70 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_H33. zenon_intro zenon_H26. % 23.45/23.70 apply (zenon_L6_); trivial. % 23.45/23.70 (* end of lemma zenon_L8_ *) % 23.45/23.70 assert (zenon_L9_ : (((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13)))))))) -> ((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))) -> ((e10) = (op1 (e13) (e13))) -> False). % 23.45/23.70 do 0 intro. intros zenon_H36 zenon_H27 zenon_H28. % 23.45/23.70 apply (zenon_and_s _ _ zenon_H36). zenon_intro zenon_H37. zenon_intro zenon_H2d. % 23.45/23.70 apply (zenon_and_s _ _ zenon_H2d). zenon_intro zenon_H30. zenon_intro zenon_H2f. % 23.45/23.70 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_H32. zenon_intro zenon_H31. % 23.45/23.70 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_H33. zenon_intro zenon_H26. % 23.45/23.70 apply (zenon_L6_); trivial. % 23.45/23.70 (* end of lemma zenon_L9_ *) % 23.45/23.70 assert (zenon_L10_ : (((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13)))))))) -> ((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))) -> ((e10) = (op1 (e13) (e13))) -> False). % 23.45/23.70 do 0 intro. intros zenon_H38 zenon_H27 zenon_H28. % 23.45/23.70 apply (zenon_and_s _ _ zenon_H38). zenon_intro zenon_H39. zenon_intro zenon_H2d. % 23.45/23.70 apply (zenon_and_s _ _ zenon_H2d). zenon_intro zenon_H30. zenon_intro zenon_H2f. % 23.45/23.70 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_H32. zenon_intro zenon_H31. % 23.45/23.70 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_H33. zenon_intro zenon_H26. % 23.45/23.70 apply (zenon_L6_); trivial. % 23.45/23.70 (* end of lemma zenon_L10_ *) % 23.45/23.70 assert (zenon_L11_ : (~((h4 (e10)) = (e20))) -> ((h4 (e10)) = (op2 (e23) (e23))) -> ((e20) = (op2 (e23) (e23))) -> False). % 23.45/23.70 do 0 intro. intros zenon_H3a zenon_H3b zenon_H14. % 23.45/23.70 cut (((h4 (e10)) = (op2 (e23) (e23))) = ((h4 (e10)) = (e20))). % 23.45/23.70 intro zenon_D_pnotp. % 23.45/23.70 apply zenon_H3a. % 23.45/23.70 rewrite <- zenon_D_pnotp. % 23.45/23.70 exact zenon_H3b. % 23.45/23.70 cut (((op2 (e23) (e23)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H16]. % 23.45/23.70 cut (((h4 (e10)) = (h4 (e10)))); [idtac | apply NNPP; zenon_intro zenon_H3c]. % 23.45/23.70 congruence. % 23.45/23.70 apply zenon_H3c. apply refl_equal. % 23.45/23.70 apply zenon_H16. apply sym_equal. exact zenon_H14. % 23.45/23.70 (* end of lemma zenon_L11_ *) % 23.45/23.70 assert (zenon_L12_ : (~((h4 (op1 (e10) (e10))) = (op2 (h4 (e10)) (h4 (e10))))) -> ((op1 (e10) (e10)) = (e10)) -> ((op2 (e20) (e20)) = (e20)) -> ((h4 (e10)) = (op2 (e23) (e23))) -> ((e20) = (op2 (e23) (e23))) -> False). % 23.45/23.70 do 0 intro. intros zenon_H3d zenon_H2e zenon_H1a zenon_H3b zenon_H14. % 23.45/23.70 cut (((h4 (e10)) = (op2 (e23) (e23))) = ((h4 (op1 (e10) (e10))) = (op2 (h4 (e10)) (h4 (e10))))). % 23.45/23.70 intro zenon_D_pnotp. % 23.45/23.70 apply zenon_H3d. % 23.45/23.70 rewrite <- zenon_D_pnotp. % 23.45/23.70 exact zenon_H3b. % 23.45/23.70 cut (((op2 (e23) (e23)) = (op2 (h4 (e10)) (h4 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H3e]. % 23.45/23.70 cut (((h4 (e10)) = (h4 (op1 (e10) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H3f]. % 23.45/23.70 congruence. % 23.45/23.70 elim (classic ((h4 (op1 (e10) (e10))) = (h4 (op1 (e10) (e10))))); [ zenon_intro zenon_H40 | zenon_intro zenon_H41 ]. % 23.45/23.70 cut (((h4 (op1 (e10) (e10))) = (h4 (op1 (e10) (e10)))) = ((h4 (e10)) = (h4 (op1 (e10) (e10))))). % 23.45/23.70 intro zenon_D_pnotp. % 23.45/23.70 apply zenon_H3f. % 23.45/23.70 rewrite <- zenon_D_pnotp. % 23.45/23.70 exact zenon_H40. % 23.45/23.70 cut (((h4 (op1 (e10) (e10))) = (h4 (op1 (e10) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H41]. % 23.45/23.70 cut (((h4 (op1 (e10) (e10))) = (h4 (e10)))); [idtac | apply NNPP; zenon_intro zenon_H42]. % 23.45/23.70 congruence. % 23.45/23.70 cut (((op1 (e10) (e10)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H43]. % 23.45/23.70 congruence. % 23.45/23.70 exact (zenon_H43 zenon_H2e). % 23.45/23.70 apply zenon_H41. apply refl_equal. % 23.45/23.70 apply zenon_H41. apply refl_equal. % 23.45/23.70 elim (classic ((op2 (h4 (e10)) (h4 (e10))) = (op2 (h4 (e10)) (h4 (e10))))); [ zenon_intro zenon_H44 | zenon_intro zenon_H45 ]. % 23.45/23.70 cut (((op2 (h4 (e10)) (h4 (e10))) = (op2 (h4 (e10)) (h4 (e10)))) = ((op2 (e23) (e23)) = (op2 (h4 (e10)) (h4 (e10))))). % 23.45/23.70 intro zenon_D_pnotp. % 23.45/23.70 apply zenon_H3e. % 23.45/23.70 rewrite <- zenon_D_pnotp. % 23.45/23.70 exact zenon_H44. % 23.45/23.70 cut (((op2 (h4 (e10)) (h4 (e10))) = (op2 (h4 (e10)) (h4 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H45]. % 23.45/23.70 cut (((op2 (h4 (e10)) (h4 (e10))) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H46]. % 23.45/23.70 congruence. % 23.45/23.70 cut (((op2 (e20) (e20)) = (e20)) = ((op2 (h4 (e10)) (h4 (e10))) = (op2 (e23) (e23)))). % 23.45/23.70 intro zenon_D_pnotp. % 23.45/23.70 apply zenon_H46. % 23.45/23.70 rewrite <- zenon_D_pnotp. % 23.45/23.70 exact zenon_H1a. % 23.45/23.70 cut (((e20) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H47]. % 23.45/23.70 cut (((op2 (e20) (e20)) = (op2 (h4 (e10)) (h4 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H48]. % 23.45/23.70 congruence. % 23.45/23.70 elim (classic ((op2 (h4 (e10)) (h4 (e10))) = (op2 (h4 (e10)) (h4 (e10))))); [ zenon_intro zenon_H44 | zenon_intro zenon_H45 ]. % 23.45/23.70 cut (((op2 (h4 (e10)) (h4 (e10))) = (op2 (h4 (e10)) (h4 (e10)))) = ((op2 (e20) (e20)) = (op2 (h4 (e10)) (h4 (e10))))). % 23.45/23.70 intro zenon_D_pnotp. % 23.45/23.70 apply zenon_H48. % 23.45/23.70 rewrite <- zenon_D_pnotp. % 23.45/23.70 exact zenon_H44. % 23.45/23.70 cut (((op2 (h4 (e10)) (h4 (e10))) = (op2 (h4 (e10)) (h4 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H45]. % 23.45/23.70 cut (((op2 (h4 (e10)) (h4 (e10))) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H49]. % 23.45/23.70 congruence. % 23.45/23.70 cut (((h4 (e10)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H3a]. % 23.45/23.70 cut (((h4 (e10)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H3a]. % 23.45/23.70 congruence. % 23.45/23.70 apply (zenon_L11_); trivial. % 23.45/23.70 apply (zenon_L11_); trivial. % 23.45/23.70 apply zenon_H45. apply refl_equal. % 23.45/23.70 apply zenon_H45. apply refl_equal. % 23.45/23.70 exact (zenon_H47 zenon_H14). % 23.45/23.70 apply zenon_H45. apply refl_equal. % 23.45/23.70 apply zenon_H45. apply refl_equal. % 23.45/23.70 (* end of lemma zenon_L12_ *) % 23.45/23.70 assert (zenon_L13_ : (~((e13) = (e13))) -> False). % 23.45/23.70 do 0 intro. intros zenon_H4a. % 23.45/23.70 apply zenon_H4a. apply refl_equal. % 23.45/23.70 (* end of lemma zenon_L13_ *) % 23.45/23.70 assert (zenon_L14_ : (~((op1 (op1 (e13) (e13)) (e13)) = (op1 (e10) (e13)))) -> ((e10) = (op1 (e13) (e13))) -> False). % 23.45/23.70 do 0 intro. intros zenon_H4b zenon_H28. % 23.45/23.70 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H4a]. % 23.45/23.70 cut (((op1 (e13) (e13)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H2a]. % 23.45/23.70 congruence. % 23.45/23.70 apply zenon_H2a. apply sym_equal. exact zenon_H28. % 23.45/23.70 apply zenon_H4a. apply refl_equal. % 23.45/23.70 (* end of lemma zenon_L14_ *) % 23.45/23.70 assert (zenon_L15_ : (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((e12) = (op1 (op1 (e13) (e13)) (e13))) -> ((op1 (e10) (e10)) = (e12)) -> ((e10) = (op1 (e13) (e13))) -> False). % 23.45/23.70 do 0 intro. intros zenon_H4c zenon_H4d zenon_H4e zenon_H28. % 23.45/23.70 cut (((e12) = (op1 (op1 (e13) (e13)) (e13))) = ((op1 (e10) (e10)) = (op1 (e10) (e13)))). % 23.45/23.70 intro zenon_D_pnotp. % 23.45/23.70 apply zenon_H4c. % 23.45/23.70 rewrite <- zenon_D_pnotp. % 23.45/23.70 exact zenon_H4d. % 23.45/23.70 cut (((op1 (op1 (e13) (e13)) (e13)) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H4b]. % 23.45/23.70 cut (((e12) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H4f]. % 23.45/23.70 congruence. % 23.45/23.70 elim (classic ((op1 (e10) (e10)) = (op1 (e10) (e10)))); [ zenon_intro zenon_H50 | zenon_intro zenon_H51 ]. % 23.45/23.70 cut (((op1 (e10) (e10)) = (op1 (e10) (e10))) = ((e12) = (op1 (e10) (e10)))). % 23.45/23.70 intro zenon_D_pnotp. % 23.45/23.70 apply zenon_H4f. % 23.45/23.70 rewrite <- zenon_D_pnotp. % 23.45/23.70 exact zenon_H50. % 23.45/23.70 cut (((op1 (e10) (e10)) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H51]. % 23.45/23.70 cut (((op1 (e10) (e10)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H52]. % 23.45/23.70 congruence. % 23.45/23.70 exact (zenon_H52 zenon_H4e). % 23.45/23.70 apply zenon_H51. apply refl_equal. % 23.45/23.70 apply zenon_H51. apply refl_equal. % 23.45/23.70 apply (zenon_L14_); trivial. % 23.45/23.70 (* end of lemma zenon_L15_ *) % 23.45/23.70 assert (zenon_L16_ : (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((e10) = (op1 (e13) (e13))) -> ((op1 (e10) (e13)) = (e10)) -> False). % 23.45/23.70 do 0 intro. intros zenon_H53 zenon_H28 zenon_H54. % 23.45/23.70 cut (((e10) = (op1 (e13) (e13))) = ((op1 (e10) (e13)) = (op1 (e13) (e13)))). % 23.45/23.70 intro zenon_D_pnotp. % 23.45/23.70 apply zenon_H53. % 23.45/23.70 rewrite <- zenon_D_pnotp. % 23.45/23.70 exact zenon_H28. % 23.45/23.70 cut (((op1 (e13) (e13)) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H55]. % 23.45/23.70 cut (((e10) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H56]. % 23.45/23.70 congruence. % 23.45/23.70 elim (classic ((op1 (e10) (e13)) = (op1 (e10) (e13)))); [ zenon_intro zenon_H57 | zenon_intro zenon_H58 ]. % 23.45/23.70 cut (((op1 (e10) (e13)) = (op1 (e10) (e13))) = ((e10) = (op1 (e10) (e13)))). % 23.45/23.70 intro zenon_D_pnotp. % 23.45/23.70 apply zenon_H56. % 23.45/23.70 rewrite <- zenon_D_pnotp. % 23.45/23.70 exact zenon_H57. % 23.45/23.70 cut (((op1 (e10) (e13)) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H58]. % 23.45/23.70 cut (((op1 (e10) (e13)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H59]. % 23.45/23.70 congruence. % 23.45/23.70 exact (zenon_H59 zenon_H54). % 23.45/23.70 apply zenon_H58. apply refl_equal. % 23.45/23.70 apply zenon_H58. apply refl_equal. % 23.45/23.70 apply zenon_H55. apply refl_equal. % 23.45/23.70 (* end of lemma zenon_L16_ *) % 23.45/23.70 assert (zenon_L17_ : ((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (e10))) -> (~((op1 (e10) (e10)) = (e11))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((e12) = (op1 (op1 (e13) (e13)) (e13))) -> ((e10) = (op1 (e13) (e13))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> False). % 23.45/23.70 do 0 intro. intros zenon_H5a zenon_H53 zenon_H43 zenon_H5b zenon_H4c zenon_H4d zenon_H28 zenon_H5c. % 23.45/23.70 apply (zenon_or_s _ _ zenon_H5a); [ zenon_intro zenon_H5d | zenon_intro zenon_H54 ]. % 23.45/23.70 apply (zenon_or_s _ _ zenon_H5c); [ zenon_intro zenon_H2e | zenon_intro zenon_H5e ]. % 23.45/23.70 exact (zenon_H43 zenon_H2e). % 23.45/23.70 apply (zenon_or_s _ _ zenon_H5e); [ zenon_intro zenon_H60 | zenon_intro zenon_H5f ]. % 23.45/23.70 exact (zenon_H5b zenon_H60). % 23.45/23.70 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H4e | zenon_intro zenon_H61 ]. % 23.45/23.70 apply (zenon_L15_); trivial. % 23.45/23.70 exact (zenon_H5d zenon_H61). % 23.45/23.70 apply (zenon_L16_); trivial. % 23.45/23.70 (* end of lemma zenon_L17_ *) % 23.45/23.70 assert (zenon_L18_ : (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((op1 (e10) (e10)) = (e10)) -> ((op1 (e11) (e10)) = (e10)) -> False). % 23.45/23.70 do 0 intro. intros zenon_H62 zenon_H2e zenon_H63. % 23.45/23.70 cut (((op1 (e10) (e10)) = (e10)) = ((op1 (e10) (e10)) = (op1 (e11) (e10)))). % 23.45/23.70 intro zenon_D_pnotp. % 23.45/23.70 apply zenon_H62. % 23.45/23.70 rewrite <- zenon_D_pnotp. % 23.45/23.70 exact zenon_H2e. % 23.45/23.70 cut (((e10) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H64]. % 23.45/23.70 cut (((op1 (e10) (e10)) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H51]. % 23.45/23.70 congruence. % 23.45/23.70 apply zenon_H51. apply refl_equal. % 23.45/23.70 apply zenon_H64. apply sym_equal. exact zenon_H63. % 23.45/23.70 (* end of lemma zenon_L18_ *) % 23.45/23.70 assert (zenon_L19_ : (~((e11) = (e11))) -> False). % 23.45/23.70 do 0 intro. intros zenon_H65. % 23.45/23.70 apply zenon_H65. apply refl_equal. % 23.45/23.70 (* end of lemma zenon_L19_ *) % 23.45/23.70 assert (zenon_L20_ : ((op1 (e11) (e10)) = (e11)) -> ((op1 (e11) (e10)) = (e12)) -> (~((e11) = (e12))) -> False). % 23.45/23.70 do 0 intro. intros zenon_H66 zenon_H67 zenon_H68. % 23.45/23.70 elim (classic ((e12) = (e12))); [ zenon_intro zenon_H69 | zenon_intro zenon_H6a ]. % 23.45/23.70 cut (((e12) = (e12)) = ((e11) = (e12))). % 23.45/23.70 intro zenon_D_pnotp. % 23.45/23.70 apply zenon_H68. % 23.45/23.70 rewrite <- zenon_D_pnotp. % 23.45/23.70 exact zenon_H69. % 23.45/23.70 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H6a]. % 23.45/23.70 cut (((e12) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H6b]. % 23.45/23.70 congruence. % 23.45/23.70 cut (((op1 (e11) (e10)) = (e11)) = ((e12) = (e11))). % 23.45/23.70 intro zenon_D_pnotp. % 23.45/23.70 apply zenon_H6b. % 23.45/23.70 rewrite <- zenon_D_pnotp. % 23.45/23.70 exact zenon_H66. % 23.45/23.70 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H65]. % 23.45/23.70 cut (((op1 (e11) (e10)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H6c]. % 23.45/23.70 congruence. % 23.45/23.70 exact (zenon_H6c zenon_H67). % 23.45/23.70 apply zenon_H65. apply refl_equal. % 23.45/23.70 apply zenon_H6a. apply refl_equal. % 23.45/23.70 apply zenon_H6a. apply refl_equal. % 23.45/23.70 (* end of lemma zenon_L20_ *) % 23.45/23.70 assert (zenon_L21_ : ((op1 (e12) (e12)) = (e12)) -> ((op1 (e11) (e12)) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> False). % 23.45/23.70 do 0 intro. intros zenon_H6d zenon_H6e zenon_H6f. % 23.45/23.70 elim (classic ((op1 (e12) (e12)) = (op1 (e12) (e12)))); [ zenon_intro zenon_H70 | zenon_intro zenon_H71 ]. % 23.45/23.70 cut (((op1 (e12) (e12)) = (op1 (e12) (e12))) = ((op1 (e11) (e12)) = (op1 (e12) (e12)))). % 23.45/23.70 intro zenon_D_pnotp. % 23.45/23.70 apply zenon_H6f. % 23.45/23.70 rewrite <- zenon_D_pnotp. % 23.45/23.70 exact zenon_H70. % 23.45/23.70 cut (((op1 (e12) (e12)) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H71]. % 23.45/23.70 cut (((op1 (e12) (e12)) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H72]. % 23.45/23.70 congruence. % 23.45/23.70 cut (((op1 (e12) (e12)) = (e12)) = ((op1 (e12) (e12)) = (op1 (e11) (e12)))). % 23.45/23.70 intro zenon_D_pnotp. % 23.45/23.70 apply zenon_H72. % 23.45/23.70 rewrite <- zenon_D_pnotp. % 23.45/23.70 exact zenon_H6d. % 23.45/23.70 cut (((e12) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H73]. % 23.45/23.70 cut (((op1 (e12) (e12)) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H71]. % 23.45/23.70 congruence. % 23.45/23.70 apply zenon_H71. apply refl_equal. % 23.45/23.70 apply zenon_H73. apply sym_equal. exact zenon_H6e. % 23.45/23.70 apply zenon_H71. apply refl_equal. % 23.45/23.70 apply zenon_H71. apply refl_equal. % 23.45/23.70 (* end of lemma zenon_L21_ *) % 23.45/23.70 assert (zenon_L22_ : ((e12) = (op1 (op1 (e13) (e13)) (e13))) -> ((op1 (e11) (e13)) = (e12)) -> ((e10) = (op1 (e13) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> False). % 23.45/23.70 do 0 intro. intros zenon_H4d zenon_H74 zenon_H28 zenon_H75. % 23.45/23.70 elim (classic ((op1 (e11) (e13)) = (op1 (e11) (e13)))); [ zenon_intro zenon_H76 | zenon_intro zenon_H77 ]. % 23.45/23.70 cut (((op1 (e11) (e13)) = (op1 (e11) (e13))) = ((op1 (e10) (e13)) = (op1 (e11) (e13)))). % 23.45/23.70 intro zenon_D_pnotp. % 23.45/23.70 apply zenon_H75. % 23.45/23.70 rewrite <- zenon_D_pnotp. % 23.45/23.70 exact zenon_H76. % 23.45/23.70 cut (((op1 (e11) (e13)) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H77]. % 23.45/23.70 cut (((op1 (e11) (e13)) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H78]. % 23.45/23.70 congruence. % 23.45/23.70 cut (((e12) = (op1 (op1 (e13) (e13)) (e13))) = ((op1 (e11) (e13)) = (op1 (e10) (e13)))). % 23.45/23.70 intro zenon_D_pnotp. % 23.45/23.70 apply zenon_H78. % 23.45/23.70 rewrite <- zenon_D_pnotp. % 23.45/23.70 exact zenon_H4d. % 23.45/23.70 cut (((op1 (op1 (e13) (e13)) (e13)) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H4b]. % 23.45/23.70 cut (((e12) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H79]. % 23.45/23.70 congruence. % 23.45/23.70 elim (classic ((op1 (e11) (e13)) = (op1 (e11) (e13)))); [ zenon_intro zenon_H76 | zenon_intro zenon_H77 ]. % 23.45/23.70 cut (((op1 (e11) (e13)) = (op1 (e11) (e13))) = ((e12) = (op1 (e11) (e13)))). % 23.45/23.70 intro zenon_D_pnotp. % 23.45/23.70 apply zenon_H79. % 23.45/23.70 rewrite <- zenon_D_pnotp. % 23.45/23.70 exact zenon_H76. % 23.45/23.70 cut (((op1 (e11) (e13)) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H77]. % 23.45/23.70 cut (((op1 (e11) (e13)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H7a]. % 23.45/23.70 congruence. % 23.45/23.70 exact (zenon_H7a zenon_H74). % 23.45/23.70 apply zenon_H77. apply refl_equal. % 23.45/23.70 apply zenon_H77. apply refl_equal. % 23.45/23.70 apply (zenon_L14_); trivial. % 23.45/23.70 apply zenon_H77. apply refl_equal. % 23.45/23.70 apply zenon_H77. apply refl_equal. % 23.45/23.70 (* end of lemma zenon_L22_ *) % 23.45/23.70 assert (zenon_L23_ : (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((e11) = (e12))) -> ((op1 (e11) (e10)) = (e11)) -> (~((op1 (e11) (e11)) = (e12))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e12) (e12)) = (e12)) -> ((e12) = (op1 (op1 (e13) (e13)) (e13))) -> ((e10) = (op1 (e13) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> False). % 23.45/23.70 do 0 intro. intros zenon_H7b zenon_H68 zenon_H66 zenon_H7c zenon_H6f zenon_H6d zenon_H4d zenon_H28 zenon_H75. % 23.45/23.70 apply (zenon_or_s _ _ zenon_H7b); [ zenon_intro zenon_H67 | zenon_intro zenon_H7d ]. % 23.45/23.70 apply (zenon_L20_); trivial. % 23.45/23.70 apply (zenon_or_s _ _ zenon_H7d); [ zenon_intro zenon_H7f | zenon_intro zenon_H7e ]. % 23.45/23.70 exact (zenon_H7c zenon_H7f). % 23.45/23.70 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H6e | zenon_intro zenon_H74 ]. % 23.45/23.70 apply (zenon_L21_); trivial. % 23.45/23.70 apply (zenon_L22_); trivial. % 23.45/23.70 (* end of lemma zenon_L23_ *) % 23.45/23.70 assert (zenon_L24_ : (~((e10) = (e11))) -> ((op1 (e11) (e12)) = (e11)) -> ((op1 (e11) (e12)) = (e10)) -> False). % 23.45/23.70 do 0 intro. intros zenon_H80 zenon_H81 zenon_H82. % 23.45/23.70 cut (((op1 (e11) (e12)) = (e11)) = ((e10) = (e11))). % 23.45/23.70 intro zenon_D_pnotp. % 23.45/23.70 apply zenon_H80. % 23.45/23.70 rewrite <- zenon_D_pnotp. % 23.45/23.70 exact zenon_H81. % 23.45/23.70 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H65]. % 23.45/23.70 cut (((op1 (e11) (e12)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H83]. % 23.45/23.70 congruence. % 23.45/23.70 exact (zenon_H83 zenon_H82). % 23.45/23.70 apply zenon_H65. apply refl_equal. % 23.45/23.70 (* end of lemma zenon_L24_ *) % 23.45/23.70 assert (zenon_L25_ : (~((op1 (op1 (op1 (e13) (e13)) (e13)) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (e13)) (e13))) -> False). % 23.45/23.70 do 0 intro. intros zenon_H84 zenon_H4d. % 23.45/23.70 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H4a]. % 23.45/23.70 cut (((op1 (op1 (e13) (e13)) (e13)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H85]. % 23.45/23.70 congruence. % 23.45/23.70 apply zenon_H85. apply sym_equal. exact zenon_H4d. % 23.45/23.70 apply zenon_H4a. apply refl_equal. % 23.45/23.70 (* end of lemma zenon_L25_ *) % 23.45/23.70 assert (zenon_L26_ : (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((e11) = (op1 (op1 (op1 (e13) (e13)) (e13)) (e13))) -> ((op1 (e11) (e13)) = (e11)) -> ((e12) = (op1 (op1 (e13) (e13)) (e13))) -> False). % 23.45/23.70 do 0 intro. intros zenon_H86 zenon_H87 zenon_H88 zenon_H4d. % 23.45/23.70 cut (((e11) = (op1 (op1 (op1 (e13) (e13)) (e13)) (e13))) = ((op1 (e11) (e13)) = (op1 (e12) (e13)))). % 23.45/23.70 intro zenon_D_pnotp. % 23.45/23.70 apply zenon_H86. % 23.45/23.70 rewrite <- zenon_D_pnotp. % 23.45/23.70 exact zenon_H87. % 23.45/23.70 cut (((op1 (op1 (op1 (e13) (e13)) (e13)) (e13)) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H84]. % 23.45/23.70 cut (((e11) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H89]. % 23.45/23.70 congruence. % 23.45/23.70 elim (classic ((op1 (e11) (e13)) = (op1 (e11) (e13)))); [ zenon_intro zenon_H76 | zenon_intro zenon_H77 ]. % 23.45/23.70 cut (((op1 (e11) (e13)) = (op1 (e11) (e13))) = ((e11) = (op1 (e11) (e13)))). % 23.45/23.70 intro zenon_D_pnotp. % 23.45/23.70 apply zenon_H89. % 23.45/23.70 rewrite <- zenon_D_pnotp. % 23.45/23.70 exact zenon_H76. % 23.45/23.70 cut (((op1 (e11) (e13)) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H77]. % 23.45/23.70 cut (((op1 (e11) (e13)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H8a]. % 23.45/23.70 congruence. % 23.45/23.70 exact (zenon_H8a zenon_H88). % 23.45/23.70 apply zenon_H77. apply refl_equal. % 23.45/23.70 apply zenon_H77. apply refl_equal. % 23.45/23.70 apply (zenon_L25_); trivial. % 23.45/23.70 (* end of lemma zenon_L26_ *) % 23.45/23.70 assert (zenon_L27_ : (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((e10) = (op1 (e13) (e13))) -> ((op1 (e11) (e13)) = (e10)) -> False). % 23.45/23.70 do 0 intro. intros zenon_H8b zenon_H28 zenon_H8c. % 23.45/23.70 cut (((e10) = (op1 (e13) (e13))) = ((op1 (e11) (e13)) = (op1 (e13) (e13)))). % 23.45/23.70 intro zenon_D_pnotp. % 23.45/23.70 apply zenon_H8b. % 23.45/23.70 rewrite <- zenon_D_pnotp. % 23.45/23.70 exact zenon_H28. % 23.45/23.70 cut (((op1 (e13) (e13)) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H55]. % 23.45/23.70 cut (((e10) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H8d]. % 23.45/23.70 congruence. % 23.45/23.70 elim (classic ((op1 (e11) (e13)) = (op1 (e11) (e13)))); [ zenon_intro zenon_H76 | zenon_intro zenon_H77 ]. % 23.45/23.70 cut (((op1 (e11) (e13)) = (op1 (e11) (e13))) = ((e10) = (op1 (e11) (e13)))). % 23.45/23.70 intro zenon_D_pnotp. % 23.45/23.70 apply zenon_H8d. % 23.45/23.70 rewrite <- zenon_D_pnotp. % 23.45/23.70 exact zenon_H76. % 23.45/23.70 cut (((op1 (e11) (e13)) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H77]. % 23.45/23.70 cut (((op1 (e11) (e13)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H8e]. % 23.45/23.70 congruence. % 23.45/23.70 exact (zenon_H8e zenon_H8c). % 23.45/23.70 apply zenon_H77. apply refl_equal. % 23.45/23.70 apply zenon_H77. apply refl_equal. % 23.45/23.70 apply zenon_H55. apply refl_equal. % 23.45/23.70 (* end of lemma zenon_L27_ *) % 23.45/23.70 assert (zenon_L28_ : (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e11) (e11)) = (e10))) -> ((op1 (e11) (e12)) = (e11)) -> (~((e10) = (e11))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((e10) = (op1 (e13) (e13))) -> False). % 23.45/23.70 do 0 intro. intros zenon_H8f zenon_H2e zenon_H62 zenon_H90 zenon_H81 zenon_H80 zenon_H8b zenon_H28. % 23.45/23.70 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H63 | zenon_intro zenon_H91 ]. % 23.45/23.70 apply (zenon_L18_); trivial. % 23.45/23.70 apply (zenon_or_s _ _ zenon_H91); [ zenon_intro zenon_H93 | zenon_intro zenon_H92 ]. % 23.45/23.70 exact (zenon_H90 zenon_H93). % 23.45/23.70 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H82 | zenon_intro zenon_H8c ]. % 23.45/23.70 apply (zenon_L24_); trivial. % 23.45/23.70 apply (zenon_L27_); trivial. % 23.45/23.70 (* end of lemma zenon_L28_ *) % 23.45/23.70 assert (zenon_L29_ : ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e11) (e11)) = (e10))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((e11) = (op1 (op1 (op1 (e13) (e13)) (e13)) (e13))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((e10) = (e11))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e12) (e12)) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((e12) = (op1 (op1 (e13) (e13)) (e13))) -> ((e10) = (op1 (e13) (e13))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> False). % 23.45/23.70 do 0 intro. intros zenon_H94 zenon_H62 zenon_H2e zenon_H90 zenon_H95 zenon_H87 zenon_H86 zenon_H80 zenon_H96 zenon_H68 zenon_H6f zenon_H6d zenon_H75 zenon_H4d zenon_H28 zenon_H7b zenon_H8b zenon_H8f. % 23.45/23.70 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H7c | zenon_intro zenon_H81 ]. % 23.45/23.70 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H63 | zenon_intro zenon_H91 ]. % 23.45/23.70 apply (zenon_L18_); trivial. % 23.45/23.70 apply (zenon_or_s _ _ zenon_H91); [ zenon_intro zenon_H93 | zenon_intro zenon_H92 ]. % 23.45/23.70 exact (zenon_H90 zenon_H93). % 23.45/23.70 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H82 | zenon_intro zenon_H8c ]. % 23.45/23.70 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H66 | zenon_intro zenon_H97 ]. % 23.45/23.70 apply (zenon_L23_); trivial. % 23.45/23.70 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H99 | zenon_intro zenon_H98 ]. % 23.45/23.70 exact (zenon_H96 zenon_H99). % 23.45/23.70 apply (zenon_or_s _ _ zenon_H98); [ zenon_intro zenon_H81 | zenon_intro zenon_H88 ]. % 23.45/23.70 apply (zenon_L24_); trivial. % 23.45/23.70 apply (zenon_L26_); trivial. % 23.45/23.70 apply (zenon_L27_); trivial. % 23.45/23.70 apply (zenon_L28_); trivial. % 23.45/23.70 (* end of lemma zenon_L29_ *) % 23.45/23.70 assert (zenon_L30_ : (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((op1 (e11) (e10)) = (e11)) -> ((op1 (e11) (e12)) = (e11)) -> False). % 23.45/23.70 do 0 intro. intros zenon_H9a zenon_H66 zenon_H81. % 23.45/23.70 cut (((op1 (e11) (e10)) = (e11)) = ((op1 (e11) (e10)) = (op1 (e11) (e12)))). % 23.45/23.70 intro zenon_D_pnotp. % 23.45/23.70 apply zenon_H9a. % 23.45/23.70 rewrite <- zenon_D_pnotp. % 23.45/23.70 exact zenon_H66. % 23.45/23.70 cut (((e11) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H9b]. % 23.45/23.70 cut (((op1 (e11) (e10)) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H9c]. % 23.45/23.70 congruence. % 23.45/23.70 apply zenon_H9c. apply refl_equal. % 23.45/23.70 apply zenon_H9b. apply sym_equal. exact zenon_H81. % 23.45/23.70 (* end of lemma zenon_L30_ *) % 23.45/23.70 assert (zenon_L31_ : ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((e11) = (e12))) -> ((op1 (e11) (e10)) = (e11)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e12) (e12)) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((e12) = (op1 (op1 (e13) (e13)) (e13))) -> ((e10) = (op1 (e13) (e13))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> False). % 23.45/23.70 do 0 intro. intros zenon_H94 zenon_H9a zenon_H68 zenon_H66 zenon_H6f zenon_H6d zenon_H75 zenon_H4d zenon_H28 zenon_H7b. % 23.45/23.70 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H7c | zenon_intro zenon_H81 ]. % 23.45/23.70 apply (zenon_L23_); trivial. % 23.45/23.70 apply (zenon_L30_); trivial. % 23.45/23.70 (* end of lemma zenon_L31_ *) % 23.45/23.70 assert (zenon_L32_ : ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> ((e10) = (op1 (e13) (e13))) -> ((e12) = (op1 (op1 (e13) (e13)) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e12) (e12)) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((e10) = (e11))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((e11) = (op1 (op1 (op1 (e13) (e13)) (e13)) (e13))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> False). % 23.45/23.70 do 0 intro. intros zenon_H9d zenon_H9a zenon_H8f zenon_H8b zenon_H7b zenon_H28 zenon_H4d zenon_H75 zenon_H6d zenon_H6f zenon_H68 zenon_H96 zenon_H80 zenon_H86 zenon_H87 zenon_H95 zenon_H2e zenon_H62 zenon_H94. % 23.45/23.70 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H90 | zenon_intro zenon_H66 ]. % 23.45/23.70 apply (zenon_L29_); trivial. % 23.45/23.70 apply (zenon_L31_); trivial. % 23.45/23.70 (* end of lemma zenon_L32_ *) % 23.45/23.70 assert (zenon_L33_ : ((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((e11) = (op1 (op1 (op1 (e13) (e13)) (e13)) (e13))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((e10) = (e11))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e12) (e12)) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> ((e10) = (op1 (e13) (e13))) -> ((e12) = (op1 (op1 (e13) (e13)) (e13))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (e11))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10))) -> False). % 23.45/23.70 do 0 intro. intros zenon_H9e zenon_H94 zenon_H62 zenon_H95 zenon_H87 zenon_H86 zenon_H80 zenon_H96 zenon_H68 zenon_H6f zenon_H6d zenon_H75 zenon_H7b zenon_H8b zenon_H8f zenon_H9a zenon_H9d zenon_H5c zenon_H28 zenon_H4d zenon_H4c zenon_H5b zenon_H53 zenon_H5a. % 23.45/23.70 apply (zenon_or_s _ _ zenon_H9e); [ zenon_intro zenon_H43 | zenon_intro zenon_H2e ]. % 23.45/23.70 apply (zenon_L17_); trivial. % 23.45/23.70 apply (zenon_L32_); trivial. % 23.45/23.70 (* end of lemma zenon_L33_ *) % 23.45/23.70 assert (zenon_L34_ : (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (op1 (e13) (e13)) (e13))) -> ((op1 (e10) (e13)) = (e12)) -> ((op1 (e13) (e13)) = (e13)) -> False). % 23.45/23.70 do 0 intro. intros zenon_H53 zenon_H4d zenon_H9f zenon_Ha0. % 23.45/23.70 cut (((e12) = (op1 (op1 (e13) (e13)) (e13))) = ((op1 (e10) (e13)) = (op1 (e13) (e13)))). % 23.45/23.70 intro zenon_D_pnotp. % 23.45/23.70 apply zenon_H53. % 23.45/23.70 rewrite <- zenon_D_pnotp. % 23.45/23.70 exact zenon_H4d. % 23.45/23.70 cut (((op1 (op1 (e13) (e13)) (e13)) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_Ha1]. % 23.45/23.70 cut (((e12) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_Ha2]. % 23.45/23.70 congruence. % 23.45/23.70 elim (classic ((op1 (e10) (e13)) = (op1 (e10) (e13)))); [ zenon_intro zenon_H57 | zenon_intro zenon_H58 ]. % 23.45/23.70 cut (((op1 (e10) (e13)) = (op1 (e10) (e13))) = ((e12) = (op1 (e10) (e13)))). % 23.45/23.70 intro zenon_D_pnotp. % 23.45/23.70 apply zenon_Ha2. % 23.45/23.70 rewrite <- zenon_D_pnotp. % 23.45/23.70 exact zenon_H57. % 23.45/23.70 cut (((op1 (e10) (e13)) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H58]. % 23.45/23.70 cut (((op1 (e10) (e13)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha3]. % 23.45/23.70 congruence. % 23.45/23.70 exact (zenon_Ha3 zenon_H9f). % 23.45/23.70 apply zenon_H58. apply refl_equal. % 23.45/23.70 apply zenon_H58. apply refl_equal. % 23.45/23.70 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H4a]. % 23.45/23.70 cut (((op1 (e13) (e13)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_Ha4]. % 23.45/23.70 congruence. % 23.45/23.70 exact (zenon_Ha4 zenon_Ha0). % 23.45/23.70 apply zenon_H4a. apply refl_equal. % 23.45/23.70 (* end of lemma zenon_L34_ *) % 23.45/23.70 assert (zenon_L35_ : ((e12) = (op1 (op1 (e13) (e13)) (e13))) -> ((op1 (e12) (e13)) = (e12)) -> ((e10) = (op1 (e13) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> False). % 23.45/23.70 do 0 intro. intros zenon_H4d zenon_Ha5 zenon_H28 zenon_Ha6. % 23.45/23.70 elim (classic ((op1 (e12) (e13)) = (op1 (e12) (e13)))); [ zenon_intro zenon_Ha7 | zenon_intro zenon_Ha8 ]. % 23.45/23.70 cut (((op1 (e12) (e13)) = (op1 (e12) (e13))) = ((op1 (e10) (e13)) = (op1 (e12) (e13)))). % 23.45/23.70 intro zenon_D_pnotp. % 23.45/23.70 apply zenon_Ha6. % 23.45/23.70 rewrite <- zenon_D_pnotp. % 23.45/23.70 exact zenon_Ha7. % 23.45/23.70 cut (((op1 (e12) (e13)) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_Ha8]. % 23.45/23.70 cut (((op1 (e12) (e13)) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_Ha9]. % 23.45/23.70 congruence. % 23.45/23.70 cut (((e12) = (op1 (op1 (e13) (e13)) (e13))) = ((op1 (e12) (e13)) = (op1 (e10) (e13)))). % 23.45/23.70 intro zenon_D_pnotp. % 23.45/23.70 apply zenon_Ha9. % 23.45/23.70 rewrite <- zenon_D_pnotp. % 23.45/23.70 exact zenon_H4d. % 23.45/23.70 cut (((op1 (op1 (e13) (e13)) (e13)) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H4b]. % 23.45/23.70 cut (((e12) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_Haa]. % 23.45/23.70 congruence. % 23.45/23.70 elim (classic ((op1 (e12) (e13)) = (op1 (e12) (e13)))); [ zenon_intro zenon_Ha7 | zenon_intro zenon_Ha8 ]. % 23.45/23.70 cut (((op1 (e12) (e13)) = (op1 (e12) (e13))) = ((e12) = (op1 (e12) (e13)))). % 23.45/23.70 intro zenon_D_pnotp. % 23.45/23.70 apply zenon_Haa. % 23.45/23.70 rewrite <- zenon_D_pnotp. % 23.45/23.70 exact zenon_Ha7. % 23.45/23.70 cut (((op1 (e12) (e13)) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_Ha8]. % 23.45/23.70 cut (((op1 (e12) (e13)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Hab]. % 23.45/23.70 congruence. % 23.45/23.70 exact (zenon_Hab zenon_Ha5). % 23.45/23.70 apply zenon_Ha8. apply refl_equal. % 23.45/23.70 apply zenon_Ha8. apply refl_equal. % 23.45/23.70 apply (zenon_L14_); trivial. % 23.45/23.70 apply zenon_Ha8. apply refl_equal. % 23.45/23.70 apply zenon_Ha8. apply refl_equal. % 23.45/23.70 (* end of lemma zenon_L35_ *) % 23.45/23.70 assert (zenon_L36_ : ((e12) = (op1 (op1 (e13) (e13)) (e13))) -> ((op1 (e13) (e13)) = (e12)) -> ((e10) = (op1 (e13) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> False). % 23.45/23.70 do 0 intro. intros zenon_H4d zenon_Hac zenon_H28 zenon_H53. % 23.45/23.70 elim (classic ((op1 (e13) (e13)) = (op1 (e13) (e13)))); [ zenon_intro zenon_Had | zenon_intro zenon_H55 ]. % 23.45/23.70 cut (((op1 (e13) (e13)) = (op1 (e13) (e13))) = ((op1 (e10) (e13)) = (op1 (e13) (e13)))). % 23.45/23.70 intro zenon_D_pnotp. % 23.45/23.70 apply zenon_H53. % 23.45/23.70 rewrite <- zenon_D_pnotp. % 23.45/23.70 exact zenon_Had. % 23.45/23.70 cut (((op1 (e13) (e13)) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H55]. % 23.45/23.70 cut (((op1 (e13) (e13)) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_Hae]. % 23.45/23.70 congruence. % 23.45/23.70 cut (((e12) = (op1 (op1 (e13) (e13)) (e13))) = ((op1 (e13) (e13)) = (op1 (e10) (e13)))). % 23.45/23.70 intro zenon_D_pnotp. % 23.45/23.70 apply zenon_Hae. % 23.45/23.70 rewrite <- zenon_D_pnotp. % 23.45/23.70 exact zenon_H4d. % 23.45/23.70 cut (((op1 (op1 (e13) (e13)) (e13)) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H4b]. % 23.45/23.70 cut (((e12) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_Haf]. % 23.45/23.70 congruence. % 23.45/23.70 elim (classic ((op1 (e13) (e13)) = (op1 (e13) (e13)))); [ zenon_intro zenon_Had | zenon_intro zenon_H55 ]. % 23.45/23.70 cut (((op1 (e13) (e13)) = (op1 (e13) (e13))) = ((e12) = (op1 (e13) (e13)))). % 23.45/23.70 intro zenon_D_pnotp. % 23.45/23.70 apply zenon_Haf. % 23.45/23.70 rewrite <- zenon_D_pnotp. % 23.45/23.70 exact zenon_Had. % 23.45/23.70 cut (((op1 (e13) (e13)) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H55]. % 23.45/23.70 cut (((op1 (e13) (e13)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Hb0]. % 23.45/23.70 congruence. % 23.45/23.70 exact (zenon_Hb0 zenon_Hac). % 23.45/23.70 apply zenon_H55. apply refl_equal. % 23.45/23.70 apply zenon_H55. apply refl_equal. % 23.45/23.70 apply (zenon_L14_); trivial. % 23.45/23.70 apply zenon_H55. apply refl_equal. % 23.45/23.70 apply zenon_H55. apply refl_equal. % 23.45/23.70 (* end of lemma zenon_L36_ *) % 23.45/23.70 assert (zenon_L37_ : (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((op1 (e13) (e13)) = (e13)) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (e13)) (e13))) -> ((e10) = (op1 (e13) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> False). % 23.45/23.70 do 0 intro. intros zenon_Hb1 zenon_Ha0 zenon_H75 zenon_Ha6 zenon_H4d zenon_H28 zenon_H53. % 23.45/23.70 apply (zenon_or_s _ _ zenon_Hb1); [ zenon_intro zenon_H9f | zenon_intro zenon_Hb2 ]. % 23.45/23.70 apply (zenon_L34_); trivial. % 23.45/23.70 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H74 | zenon_intro zenon_Hb3 ]. % 23.45/23.70 apply (zenon_L22_); trivial. % 23.45/23.70 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_Ha5 | zenon_intro zenon_Hac ]. % 23.45/23.70 apply (zenon_L35_); trivial. % 23.45/23.70 apply (zenon_L36_); trivial. % 23.45/23.70 (* end of lemma zenon_L37_ *) % 23.45/23.70 assert (zenon_L38_ : (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> ((e20) = (op2 (e23) (e23))) -> ((h4 (e10)) = (op2 (e23) (e23))) -> ((op2 (e20) (e20)) = (e20)) -> (~((h4 (op1 (e10) (e10))) = (op2 (h4 (e10)) (h4 (e10))))) -> ((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10))) -> (~((op1 (e10) (e10)) = (e11))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((e10) = (e11))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((e11) = (op1 (op1 (op1 (e13) (e13)) (e13)) (e13))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> ((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (e13)) (e13))) -> ((e10) = (op1 (e13) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> False). % 23.45/23.70 do 0 intro. intros zenon_Hb4 zenon_H14 zenon_H3b zenon_H1a zenon_H3d zenon_H5a zenon_H5b zenon_H4c zenon_H5c zenon_H9d zenon_H9a zenon_H8f zenon_H8b zenon_H7b zenon_H6f zenon_H68 zenon_H96 zenon_H80 zenon_H86 zenon_H87 zenon_H95 zenon_H62 zenon_H94 zenon_H9e zenon_Hb1 zenon_H75 zenon_Ha6 zenon_H4d zenon_H28 zenon_H53. % 23.45/23.70 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H2e | zenon_intro zenon_Hb5 ]. % 23.45/23.70 apply (zenon_L12_); trivial. % 23.45/23.70 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_H99 | zenon_intro zenon_Hb6 ]. % 23.45/23.70 exact (zenon_H96 zenon_H99). % 23.45/23.70 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_H6d | zenon_intro zenon_Ha0 ]. % 23.45/23.70 apply (zenon_L33_); trivial. % 23.45/23.70 apply (zenon_L37_); trivial. % 23.45/23.70 (* end of lemma zenon_L38_ *) % 23.45/23.70 assert (zenon_L39_ : ((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((e11) = (op1 (op1 (op1 (e13) (e13)) (e13)) (e13))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((e10) = (e11))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e12) (e12)) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> ((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((e12) = (op1 (op1 (e13) (e13)) (e13))) -> ((e10) = (op1 (e13) (e13))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e10) (e11)) = (e10))) -> ((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10))) -> False). % 23.45/23.70 do 0 intro. intros zenon_H9e zenon_H94 zenon_H62 zenon_H95 zenon_H87 zenon_H86 zenon_H80 zenon_H96 zenon_H68 zenon_H6f zenon_H6d zenon_H75 zenon_H7b zenon_H8b zenon_H8f zenon_H9a zenon_H9d zenon_H5a zenon_H53 zenon_H4c zenon_H4d zenon_H28 zenon_H5c zenon_Hb7 zenon_Hb8. % 23.45/23.70 apply (zenon_or_s _ _ zenon_H9e); [ zenon_intro zenon_H43 | zenon_intro zenon_H2e ]. % 23.45/23.70 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H5b | zenon_intro zenon_Hb9 ]. % 23.45/23.70 apply (zenon_L17_); trivial. % 23.45/23.70 exact (zenon_Hb7 zenon_Hb9). % 23.45/23.70 apply (zenon_L32_); trivial. % 23.45/23.70 (* end of lemma zenon_L39_ *) % 23.45/23.70 assert (zenon_L40_ : (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> ((e20) = (op2 (e23) (e23))) -> ((h4 (e10)) = (op2 (e23) (e23))) -> ((op2 (e20) (e20)) = (e20)) -> (~((h4 (op1 (e10) (e10))) = (op2 (h4 (e10)) (h4 (e10))))) -> ((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10))) -> (~((op1 (e10) (e11)) = (e10))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10))) -> ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((e10) = (e11))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((e11) = (op1 (op1 (op1 (e13) (e13)) (e13)) (e13))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> ((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (e13)) (e13))) -> ((e10) = (op1 (e13) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> False). % 23.45/23.70 do 0 intro. intros zenon_Hb4 zenon_H14 zenon_H3b zenon_H1a zenon_H3d zenon_Hb8 zenon_Hb7 zenon_H5c zenon_H4c zenon_H5a zenon_H9d zenon_H9a zenon_H8f zenon_H8b zenon_H7b zenon_H6f zenon_H68 zenon_H96 zenon_H80 zenon_H86 zenon_H87 zenon_H95 zenon_H62 zenon_H94 zenon_H9e zenon_Hb1 zenon_H75 zenon_Ha6 zenon_H4d zenon_H28 zenon_H53. % 23.45/23.70 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H2e | zenon_intro zenon_Hb5 ]. % 23.45/23.70 apply (zenon_L12_); trivial. % 23.45/23.70 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_H99 | zenon_intro zenon_Hb6 ]. % 23.45/23.70 exact (zenon_H96 zenon_H99). % 23.45/23.70 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_H6d | zenon_intro zenon_Ha0 ]. % 23.45/23.70 apply (zenon_L39_); trivial. % 23.45/23.70 apply (zenon_L37_); trivial. % 23.45/23.70 (* end of lemma zenon_L40_ *) % 23.45/23.70 assert (zenon_L41_ : ((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10)))) -> ((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((e12) = (op1 (op1 (e13) (e13)) (e13))) -> ((e10) = (op1 (e13) (e13))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((e11) = (e12))) -> (~((e10) = (e11))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((e11) = (op1 (op1 (op1 (e13) (e13)) (e13)) (e13))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> ((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10))) -> ((op2 (e20) (e20)) = (e20)) -> ((h4 (e10)) = (op2 (e23) (e23))) -> ((e20) = (op2 (e23) (e23))) -> (~((h4 (op1 (e10) (e10))) = (op2 (h4 (e10)) (h4 (e10))))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11)))) -> False). % 23.45/23.70 do 0 intro. intros zenon_Hba zenon_Hb8 zenon_Hb4 zenon_Ha6 zenon_Hb1 zenon_H5a zenon_H53 zenon_H4c zenon_H4d zenon_H28 zenon_H5c zenon_H9d zenon_H9a zenon_H8f zenon_H8b zenon_H7b zenon_H75 zenon_H6f zenon_H68 zenon_H80 zenon_H86 zenon_H87 zenon_H95 zenon_H62 zenon_H94 zenon_H9e zenon_H1a zenon_H3b zenon_H14 zenon_H3d zenon_Hbb. % 23.45/23.70 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H5b | zenon_intro zenon_Hb7 ]. % 23.45/23.70 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H96 | zenon_intro zenon_H96 ]. % 23.45/23.70 apply (zenon_L38_); trivial. % 23.45/23.70 apply (zenon_L38_); trivial. % 23.45/23.70 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H96 | zenon_intro zenon_H96 ]. % 23.45/23.70 apply (zenon_L40_); trivial. % 23.45/23.70 apply (zenon_L40_); trivial. % 23.45/23.70 (* end of lemma zenon_L41_ *) % 23.45/23.70 assert (zenon_L42_ : (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((e11) = (op1 (op1 (op1 (e13) (e13)) (e13)) (e13))) -> ((op1 (e12) (e12)) = (e11)) -> ((e12) = (op1 (op1 (e13) (e13)) (e13))) -> False). % 23.45/23.70 do 0 intro. intros zenon_Hbc zenon_H87 zenon_Hbd zenon_H4d. % 23.45/23.70 cut (((e11) = (op1 (op1 (op1 (e13) (e13)) (e13)) (e13))) = ((op1 (e12) (e12)) = (op1 (e12) (e13)))). % 23.45/23.70 intro zenon_D_pnotp. % 23.45/23.70 apply zenon_Hbc. % 23.45/23.70 rewrite <- zenon_D_pnotp. % 23.45/23.70 exact zenon_H87. % 23.45/23.70 cut (((op1 (op1 (op1 (e13) (e13)) (e13)) (e13)) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H84]. % 23.45/23.70 cut (((e11) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_Hbe]. % 23.45/23.70 congruence. % 23.45/23.70 elim (classic ((op1 (e12) (e12)) = (op1 (e12) (e12)))); [ zenon_intro zenon_H70 | zenon_intro zenon_H71 ]. % 23.45/23.70 cut (((op1 (e12) (e12)) = (op1 (e12) (e12))) = ((e11) = (op1 (e12) (e12)))). % 23.45/23.70 intro zenon_D_pnotp. % 23.45/23.70 apply zenon_Hbe. % 23.45/23.70 rewrite <- zenon_D_pnotp. % 23.45/23.70 exact zenon_H70. % 23.45/23.70 cut (((op1 (e12) (e12)) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H71]. % 23.45/23.70 cut (((op1 (e12) (e12)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_Hbf]. % 23.45/23.70 congruence. % 23.45/23.70 exact (zenon_Hbf zenon_Hbd). % 23.45/23.70 apply zenon_H71. apply refl_equal. % 23.45/23.70 apply zenon_H71. apply refl_equal. % 23.45/23.70 apply (zenon_L25_); trivial. % 23.45/23.70 (* end of lemma zenon_L42_ *) % 23.45/23.70 assert (zenon_L43_ : (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (e10))) -> ((e12) = (op1 (op1 (e13) (e13)) (e13))) -> ((e11) = (op1 (op1 (op1 (e13) (e13)) (e13)) (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e12) (e12)) = (e13))) -> False). % 23.45/23.70 do 0 intro. intros zenon_Hc0 zenon_Hc1 zenon_H4d zenon_H87 zenon_Hbc zenon_Hc2 zenon_Hc3. % 23.45/23.70 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hc4 ]. % 23.45/23.70 exact (zenon_Hc1 zenon_Hc5). % 23.45/23.70 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_Hbd | zenon_intro zenon_Hc6 ]. % 23.45/23.70 apply (zenon_L42_); trivial. % 23.45/23.70 apply (zenon_or_s _ _ zenon_Hc6); [ zenon_intro zenon_H6d | zenon_intro zenon_Hc7 ]. % 23.45/23.70 exact (zenon_Hc2 zenon_H6d). % 23.45/23.70 exact (zenon_Hc3 zenon_Hc7). % 23.45/23.70 (* end of lemma zenon_L43_ *) % 23.45/23.70 assert (zenon_L44_ : ((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12))) -> ((e10) = (op1 (e13) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (e10))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((e11) = (op1 (op1 (op1 (e13) (e13)) (e13)) (e13))) -> ((e12) = (op1 (op1 (e13) (e13)) (e13))) -> (~((op1 (e12) (e12)) = (e12))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> False). % 23.45/23.70 do 0 intro. intros zenon_Hc8 zenon_H28 zenon_Ha6 zenon_Hc1 zenon_Hbc zenon_H87 zenon_H4d zenon_Hc2 zenon_Hc0. % 23.45/23.70 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Ha5 ]. % 23.45/23.70 apply (zenon_L43_); trivial. % 23.45/23.70 apply (zenon_L35_); trivial. % 23.45/23.70 (* end of lemma zenon_L44_ *) % 23.45/23.70 assert (zenon_L45_ : (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((op1 (e12) (e10)) = (e12)) -> ((op1 (e12) (e11)) = (e12)) -> False). % 23.45/23.70 do 0 intro. intros zenon_Hc9 zenon_Hca zenon_Hcb. % 23.45/23.70 cut (((op1 (e12) (e10)) = (e12)) = ((op1 (e12) (e10)) = (op1 (e12) (e11)))). % 23.45/23.70 intro zenon_D_pnotp. % 23.45/23.70 apply zenon_Hc9. % 23.45/23.70 rewrite <- zenon_D_pnotp. % 23.45/23.70 exact zenon_Hca. % 23.45/23.70 cut (((e12) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_Hcc]. % 23.45/23.70 cut (((op1 (e12) (e10)) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_Hcd]. % 23.45/23.70 congruence. % 23.45/23.70 apply zenon_Hcd. apply refl_equal. % 23.45/23.70 apply zenon_Hcc. apply sym_equal. exact zenon_Hcb. % 23.45/23.70 (* end of lemma zenon_L45_ *) % 23.45/23.70 assert (zenon_L46_ : ((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (e12) (e10)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (e12))) -> ((e12) = (op1 (op1 (e13) (e13)) (e13))) -> ((e11) = (op1 (op1 (op1 (e13) (e13)) (e13)) (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (e13) (e13))) -> ((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12))) -> False). % 23.45/23.70 do 0 intro. intros zenon_Hce zenon_Hcf zenon_Hd0 zenon_Hc9 zenon_Hd1 zenon_Hc0 zenon_Hc2 zenon_H4d zenon_H87 zenon_Hbc zenon_Ha6 zenon_H28 zenon_Hc8. % 23.45/23.70 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_Hc1 | zenon_intro zenon_Hca ]. % 23.45/23.70 apply (zenon_L44_); trivial. % 23.45/23.70 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hcb ]. % 23.45/23.70 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Ha5 ]. % 23.45/23.70 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hc4 ]. % 23.45/23.70 cut (((op1 (e12) (e10)) = (e10)) = ((op1 (e12) (e10)) = (op1 (e12) (e12)))). % 23.45/23.70 intro zenon_D_pnotp. % 23.45/23.70 apply zenon_Hcf. % 23.45/23.70 rewrite <- zenon_D_pnotp. % 23.45/23.70 exact zenon_Hd0. % 23.45/23.70 cut (((e10) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_Hd2]. % 23.45/23.70 cut (((op1 (e12) (e10)) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_Hcd]. % 23.45/23.70 congruence. % 23.45/23.70 apply zenon_Hcd. apply refl_equal. % 23.45/23.70 apply zenon_Hd2. apply sym_equal. exact zenon_Hc5. % 23.45/23.70 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_Hbd | zenon_intro zenon_Hc6 ]. % 23.45/23.70 exact (zenon_Hbf zenon_Hbd). % 23.45/23.70 apply (zenon_or_s _ _ zenon_Hc6); [ zenon_intro zenon_H6d | zenon_intro zenon_Hc7 ]. % 23.45/23.70 exact (zenon_Hc2 zenon_H6d). % 23.45/23.70 exact (zenon_Hc3 zenon_Hc7). % 23.45/23.70 apply (zenon_L35_); trivial. % 23.45/23.70 apply (zenon_L45_); trivial. % 23.45/23.70 (* end of lemma zenon_L46_ *) % 23.45/23.70 assert (zenon_L47_ : (((op1 (e12) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13)))))))) -> ((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12))) -> ((e10) = (op1 (e13) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((e11) = (op1 (op1 (op1 (e13) (e13)) (e13)) (e13))) -> ((e12) = (op1 (op1 (e13) (e13)) (e13))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12))) -> False). % 23.45/23.70 do 0 intro. intros zenon_Hd3 zenon_Hc8 zenon_H28 zenon_Ha6 zenon_Hbc zenon_H87 zenon_H4d zenon_Hc0 zenon_Hd1 zenon_Hc9 zenon_Hcf zenon_Hce. % 23.45/23.70 apply (zenon_and_s _ _ zenon_Hd3). zenon_intro zenon_Hd0. zenon_intro zenon_Hd4. % 23.45/23.70 apply (zenon_and_s _ _ zenon_Hd4). zenon_intro zenon_Hd6. zenon_intro zenon_Hd5. % 23.45/23.70 apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_Hd8. zenon_intro zenon_Hd7. % 23.45/23.70 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_Hda. zenon_intro zenon_Hd9. % 23.45/23.70 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_Hc2 | zenon_intro zenon_Hc2 ]. % 23.45/23.70 apply (zenon_L46_); trivial. % 23.45/23.70 apply (zenon_L46_); trivial. % 23.45/23.70 (* end of lemma zenon_L47_ *) % 23.45/23.70 assert (zenon_L48_ : (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((e11) = (op1 (op1 (op1 (e13) (e13)) (e13)) (e13))) -> ((op1 (e12) (e11)) = (e11)) -> ((e12) = (op1 (op1 (e13) (e13)) (e13))) -> False). % 23.45/23.70 do 0 intro. intros zenon_Hdb zenon_H87 zenon_Hdc zenon_H4d. % 23.45/23.70 cut (((e11) = (op1 (op1 (op1 (e13) (e13)) (e13)) (e13))) = ((op1 (e12) (e11)) = (op1 (e12) (e13)))). % 23.45/23.70 intro zenon_D_pnotp. % 23.45/23.70 apply zenon_Hdb. % 23.45/23.70 rewrite <- zenon_D_pnotp. % 23.45/23.70 exact zenon_H87. % 23.45/23.70 cut (((op1 (op1 (op1 (e13) (e13)) (e13)) (e13)) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H84]. % 23.45/23.71 cut (((e11) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_Hdd]. % 23.45/23.71 congruence. % 23.45/23.71 elim (classic ((op1 (e12) (e11)) = (op1 (e12) (e11)))); [ zenon_intro zenon_Hde | zenon_intro zenon_Hdf ]. % 23.45/23.71 cut (((op1 (e12) (e11)) = (op1 (e12) (e11))) = ((e11) = (op1 (e12) (e11)))). % 23.45/23.71 intro zenon_D_pnotp. % 23.45/23.71 apply zenon_Hdd. % 23.45/23.71 rewrite <- zenon_D_pnotp. % 23.45/23.71 exact zenon_Hde. % 23.45/23.71 cut (((op1 (e12) (e11)) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_Hdf]. % 23.45/23.71 cut (((op1 (e12) (e11)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_He0]. % 23.45/23.71 congruence. % 23.45/23.71 exact (zenon_He0 zenon_Hdc). % 23.45/23.71 apply zenon_Hdf. apply refl_equal. % 23.45/23.71 apply zenon_Hdf. apply refl_equal. % 23.45/23.71 apply (zenon_L25_); trivial. % 23.45/23.71 (* end of lemma zenon_L48_ *) % 23.45/23.71 assert (zenon_L49_ : (((op1 (e12) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13)))))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((e11) = (op1 (op1 (op1 (e13) (e13)) (e13)) (e13))) -> ((e12) = (op1 (op1 (e13) (e13)) (e13))) -> False). % 23.45/23.71 do 0 intro. intros zenon_He1 zenon_Hdb zenon_H87 zenon_H4d. % 23.45/23.71 apply (zenon_and_s _ _ zenon_He1). zenon_intro zenon_Hdc. zenon_intro zenon_Hd4. % 23.45/23.71 apply (zenon_L48_); trivial. % 23.45/23.71 (* end of lemma zenon_L49_ *) % 23.45/23.71 assert (zenon_L50_ : (((op1 (e12) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13)))))))) -> False). % 23.45/23.71 do 0 intro. intros zenon_He2. % 23.45/23.71 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_H6d. zenon_intro zenon_Hd4. % 23.45/23.71 apply (zenon_and_s _ _ zenon_Hd4). zenon_intro zenon_Hd6. zenon_intro zenon_Hd5. % 23.45/23.71 apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_Hd8. zenon_intro zenon_Hd7. % 23.45/23.71 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_Hda. zenon_intro zenon_Hd9. % 23.45/23.71 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_Hc2 | zenon_intro zenon_Hc2 ]. % 23.45/23.71 exact (zenon_Hc2 zenon_H6d). % 23.45/23.71 exact (zenon_Hc2 zenon_H6d). % 23.45/23.71 (* end of lemma zenon_L50_ *) % 23.45/23.71 assert (zenon_L51_ : ((op1 (e12) (e13)) = (e13)) -> ((op1 (e11) (e13)) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> False). % 23.45/23.71 do 0 intro. intros zenon_He3 zenon_He4 zenon_H86. % 23.45/23.71 elim (classic ((op1 (e12) (e13)) = (op1 (e12) (e13)))); [ zenon_intro zenon_Ha7 | zenon_intro zenon_Ha8 ]. % 23.45/23.71 cut (((op1 (e12) (e13)) = (op1 (e12) (e13))) = ((op1 (e11) (e13)) = (op1 (e12) (e13)))). % 23.45/23.71 intro zenon_D_pnotp. % 23.45/23.71 apply zenon_H86. % 23.45/23.71 rewrite <- zenon_D_pnotp. % 23.45/23.71 exact zenon_Ha7. % 23.45/23.71 cut (((op1 (e12) (e13)) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_Ha8]. % 23.45/23.71 cut (((op1 (e12) (e13)) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_He5]. % 23.45/23.71 congruence. % 23.45/23.71 cut (((op1 (e12) (e13)) = (e13)) = ((op1 (e12) (e13)) = (op1 (e11) (e13)))). % 23.45/23.71 intro zenon_D_pnotp. % 23.45/23.71 apply zenon_He5. % 23.45/23.71 rewrite <- zenon_D_pnotp. % 23.45/23.71 exact zenon_He3. % 23.45/23.71 cut (((e13) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_He6]. % 23.45/23.71 cut (((op1 (e12) (e13)) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_Ha8]. % 23.45/23.71 congruence. % 23.45/23.71 apply zenon_Ha8. apply refl_equal. % 23.45/23.71 apply zenon_He6. apply sym_equal. exact zenon_He4. % 23.45/23.71 apply zenon_Ha8. apply refl_equal. % 23.45/23.71 apply zenon_Ha8. apply refl_equal. % 23.45/23.71 (* end of lemma zenon_L51_ *) % 23.45/23.71 assert (zenon_L52_ : (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (op1 (e13) (e13)) (e13)) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((e10) = (op1 (e13) (e13))) -> ((e12) = (op1 (op1 (e13) (e13)) (e13))) -> ((op1 (e12) (e13)) = (e13)) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> False). % 23.45/23.71 do 0 intro. intros zenon_He7 zenon_H8b zenon_H87 zenon_H75 zenon_H28 zenon_H4d zenon_He3 zenon_H86. % 23.45/23.71 apply (zenon_or_s _ _ zenon_He7); [ zenon_intro zenon_H8c | zenon_intro zenon_He8 ]. % 23.45/23.71 apply (zenon_L27_); trivial. % 23.45/23.71 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H88 | zenon_intro zenon_He9 ]. % 23.45/23.71 apply (zenon_L26_); trivial. % 23.45/23.71 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H74 | zenon_intro zenon_He4 ]. % 23.45/23.71 apply (zenon_L22_); trivial. % 23.45/23.71 apply (zenon_L51_); trivial. % 23.45/23.71 (* end of lemma zenon_L52_ *) % 23.45/23.71 assert (zenon_L53_ : (((op1 (e12) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13)))))))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (op1 (e13) (e13)) (e13)) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((e10) = (op1 (e13) (e13))) -> ((e12) = (op1 (op1 (e13) (e13)) (e13))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> False). % 23.45/23.71 do 0 intro. intros zenon_Hea zenon_He7 zenon_H8b zenon_H87 zenon_H75 zenon_H28 zenon_H4d zenon_H86. % 23.45/23.71 apply (zenon_and_s _ _ zenon_Hea). zenon_intro zenon_He3. zenon_intro zenon_Hd4. % 23.45/23.71 apply (zenon_L52_); trivial. % 23.45/23.71 (* end of lemma zenon_L53_ *) % 23.45/23.71 assert (zenon_L54_ : (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e10) = (op1 (e13) (e13))) -> ((op1 (e13) (e10)) = (e10)) -> False). % 23.45/23.71 do 0 intro. intros zenon_Heb zenon_H28 zenon_Hec. % 23.45/23.71 cut (((e10) = (op1 (e13) (e13))) = ((op1 (e13) (e10)) = (op1 (e13) (e13)))). % 23.45/23.71 intro zenon_D_pnotp. % 23.45/23.71 apply zenon_Heb. % 23.45/23.71 rewrite <- zenon_D_pnotp. % 23.45/23.71 exact zenon_H28. % 23.45/23.71 cut (((op1 (e13) (e13)) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H55]. % 23.45/23.71 cut (((e10) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_Hed]. % 23.45/23.71 congruence. % 23.45/23.71 elim (classic ((op1 (e13) (e10)) = (op1 (e13) (e10)))); [ zenon_intro zenon_Hee | zenon_intro zenon_Hef ]. % 23.45/23.71 cut (((op1 (e13) (e10)) = (op1 (e13) (e10))) = ((e10) = (op1 (e13) (e10)))). % 23.45/23.71 intro zenon_D_pnotp. % 23.45/23.71 apply zenon_Hed. % 23.45/23.71 rewrite <- zenon_D_pnotp. % 23.45/23.71 exact zenon_Hee. % 23.45/23.71 cut (((op1 (e13) (e10)) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_Hef]. % 23.45/23.71 cut (((op1 (e13) (e10)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_Hf0]. % 23.45/23.71 congruence. % 23.45/23.71 exact (zenon_Hf0 zenon_Hec). % 23.45/23.71 apply zenon_Hef. apply refl_equal. % 23.45/23.71 apply zenon_Hef. apply refl_equal. % 23.45/23.71 apply zenon_H55. apply refl_equal. % 23.45/23.71 (* end of lemma zenon_L54_ *) % 23.45/23.71 assert (zenon_L55_ : (((op1 (e13) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e10) = (op1 (e13) (e13))) -> False). % 23.45/23.71 do 0 intro. intros zenon_Hf1 zenon_Heb zenon_H28. % 23.45/23.71 apply (zenon_and_s _ _ zenon_Hf1). zenon_intro zenon_Hec. zenon_intro zenon_Hf2. % 23.45/23.71 apply (zenon_L54_); trivial. % 23.45/23.71 (* end of lemma zenon_L55_ *) % 23.45/23.71 assert (zenon_L56_ : (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e12) = (op1 (op1 (e13) (e13)) (e13))) -> ((op1 (e10) (e11)) = (e12)) -> ((e10) = (op1 (e13) (e13))) -> False). % 23.45/23.71 do 0 intro. intros zenon_Hf3 zenon_H4d zenon_Hf4 zenon_H28. % 23.45/23.71 cut (((e12) = (op1 (op1 (e13) (e13)) (e13))) = ((op1 (e10) (e11)) = (op1 (e10) (e13)))). % 23.45/23.71 intro zenon_D_pnotp. % 23.45/23.71 apply zenon_Hf3. % 23.45/23.71 rewrite <- zenon_D_pnotp. % 23.45/23.71 exact zenon_H4d. % 23.45/23.71 cut (((op1 (op1 (e13) (e13)) (e13)) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H4b]. % 23.45/23.71 cut (((e12) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_Hf5]. % 23.45/23.71 congruence. % 23.45/23.71 elim (classic ((op1 (e10) (e11)) = (op1 (e10) (e11)))); [ zenon_intro zenon_Hf6 | zenon_intro zenon_Hf7 ]. % 23.45/23.71 cut (((op1 (e10) (e11)) = (op1 (e10) (e11))) = ((e12) = (op1 (e10) (e11)))). % 23.45/23.71 intro zenon_D_pnotp. % 23.45/23.71 apply zenon_Hf5. % 23.45/23.71 rewrite <- zenon_D_pnotp. % 23.45/23.71 exact zenon_Hf6. % 23.45/23.71 cut (((op1 (e10) (e11)) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_Hf7]. % 23.45/23.71 cut (((op1 (e10) (e11)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Hf8]. % 23.45/23.71 congruence. % 23.45/23.71 exact (zenon_Hf8 zenon_Hf4). % 23.45/23.71 apply zenon_Hf7. apply refl_equal. % 23.45/23.71 apply zenon_Hf7. apply refl_equal. % 23.45/23.71 apply (zenon_L14_); trivial. % 23.45/23.71 (* end of lemma zenon_L56_ *) % 23.45/23.71 assert (zenon_L57_ : ((op1 (e12) (e12)) = (e12)) -> ((op1 (e12) (e11)) = (e12)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> False). % 23.45/23.71 do 0 intro. intros zenon_H6d zenon_Hcb zenon_Hf9. % 23.45/23.71 elim (classic ((op1 (e12) (e12)) = (op1 (e12) (e12)))); [ zenon_intro zenon_H70 | zenon_intro zenon_H71 ]. % 23.45/23.71 cut (((op1 (e12) (e12)) = (op1 (e12) (e12))) = ((op1 (e12) (e11)) = (op1 (e12) (e12)))). % 23.45/23.71 intro zenon_D_pnotp. % 23.45/23.71 apply zenon_Hf9. % 23.45/23.71 rewrite <- zenon_D_pnotp. % 23.45/23.71 exact zenon_H70. % 23.45/23.71 cut (((op1 (e12) (e12)) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H71]. % 23.45/23.71 cut (((op1 (e12) (e12)) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_Hfa]. % 23.45/23.71 congruence. % 23.45/23.71 cut (((op1 (e12) (e12)) = (e12)) = ((op1 (e12) (e12)) = (op1 (e12) (e11)))). % 23.45/23.71 intro zenon_D_pnotp. % 23.45/23.71 apply zenon_Hfa. % 23.45/23.71 rewrite <- zenon_D_pnotp. % 23.45/23.71 exact zenon_H6d. % 23.45/23.71 cut (((e12) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_Hcc]. % 23.45/23.71 cut (((op1 (e12) (e12)) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H71]. % 23.45/23.71 congruence. % 23.45/23.71 apply zenon_H71. apply refl_equal. % 23.45/23.71 apply zenon_Hcc. apply sym_equal. exact zenon_Hcb. % 23.45/23.71 apply zenon_H71. apply refl_equal. % 23.45/23.71 apply zenon_H71. apply refl_equal. % 23.45/23.71 (* end of lemma zenon_L57_ *) % 23.45/23.71 assert (zenon_L58_ : ((op1 (e13) (e11)) = (e11)) -> ((op1 (e13) (e11)) = (e12)) -> (~((e11) = (e12))) -> False). % 23.45/23.71 do 0 intro. intros zenon_Hfb zenon_Hfc zenon_H68. % 23.45/23.71 elim (classic ((e12) = (e12))); [ zenon_intro zenon_H69 | zenon_intro zenon_H6a ]. % 23.45/23.71 cut (((e12) = (e12)) = ((e11) = (e12))). % 23.45/23.71 intro zenon_D_pnotp. % 23.45/23.71 apply zenon_H68. % 23.45/23.71 rewrite <- zenon_D_pnotp. % 23.45/23.71 exact zenon_H69. % 23.45/23.71 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H6a]. % 23.45/23.71 cut (((e12) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H6b]. % 23.45/23.71 congruence. % 23.45/23.71 cut (((op1 (e13) (e11)) = (e11)) = ((e12) = (e11))). % 23.45/23.71 intro zenon_D_pnotp. % 23.45/23.71 apply zenon_H6b. % 23.45/23.71 rewrite <- zenon_D_pnotp. % 23.45/23.71 exact zenon_Hfb. % 23.45/23.71 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H65]. % 23.45/23.71 cut (((op1 (e13) (e11)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Hfd]. % 23.45/23.71 congruence. % 23.45/23.71 exact (zenon_Hfd zenon_Hfc). % 23.45/23.71 apply zenon_H65. apply refl_equal. % 23.45/23.71 apply zenon_H6a. apply refl_equal. % 23.45/23.71 apply zenon_H6a. apply refl_equal. % 23.45/23.71 (* end of lemma zenon_L58_ *) % 23.45/23.71 assert (zenon_L59_ : (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> ((e10) = (op1 (e13) (e13))) -> ((e12) = (op1 (op1 (e13) (e13)) (e13))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (e12))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op1 (e12) (e12)) = (e12)) -> ((op1 (e13) (e11)) = (e11)) -> (~((e11) = (e12))) -> False). % 23.45/23.71 do 0 intro. intros zenon_Hfe zenon_H28 zenon_H4d zenon_Hf3 zenon_H7c zenon_Hf9 zenon_H6d zenon_Hfb zenon_H68. % 23.45/23.71 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Hf4 | zenon_intro zenon_Hff ]. % 23.45/23.71 apply (zenon_L56_); trivial. % 23.45/23.71 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H7f | zenon_intro zenon_H100 ]. % 23.45/23.71 exact (zenon_H7c zenon_H7f). % 23.45/23.71 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_Hcb | zenon_intro zenon_Hfc ]. % 23.45/23.71 apply (zenon_L57_); trivial. % 23.45/23.71 apply (zenon_L58_); trivial. % 23.45/23.71 (* end of lemma zenon_L59_ *) % 23.45/23.71 assert (zenon_L60_ : ((op1 (e13) (e11)) = (e11)) -> ((op1 (e10) (e11)) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> False). % 23.45/23.71 do 0 intro. intros zenon_Hfb zenon_H35 zenon_H101. % 23.45/23.71 elim (classic ((op1 (e13) (e11)) = (op1 (e13) (e11)))); [ zenon_intro zenon_H102 | zenon_intro zenon_H103 ]. % 23.45/23.71 cut (((op1 (e13) (e11)) = (op1 (e13) (e11))) = ((op1 (e10) (e11)) = (op1 (e13) (e11)))). % 23.45/23.71 intro zenon_D_pnotp. % 23.45/23.71 apply zenon_H101. % 23.45/23.71 rewrite <- zenon_D_pnotp. % 23.45/23.71 exact zenon_H102. % 23.45/23.71 cut (((op1 (e13) (e11)) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H103]. % 23.45/23.71 cut (((op1 (e13) (e11)) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H104]. % 23.45/23.71 congruence. % 23.45/23.71 cut (((op1 (e13) (e11)) = (e11)) = ((op1 (e13) (e11)) = (op1 (e10) (e11)))). % 23.45/23.71 intro zenon_D_pnotp. % 23.45/23.71 apply zenon_H104. % 23.54/23.71 rewrite <- zenon_D_pnotp. % 23.54/23.71 exact zenon_Hfb. % 23.54/23.71 cut (((e11) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H105]. % 23.54/23.71 cut (((op1 (e13) (e11)) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H103]. % 23.54/23.71 congruence. % 23.54/23.71 apply zenon_H103. apply refl_equal. % 23.54/23.71 apply zenon_H105. apply sym_equal. exact zenon_H35. % 23.54/23.71 apply zenon_H103. apply refl_equal. % 23.54/23.71 apply zenon_H103. apply refl_equal. % 23.54/23.71 (* end of lemma zenon_L60_ *) % 23.54/23.71 assert (zenon_L61_ : ((op1 (e11) (e12)) = (e11)) -> ((op1 (e10) (e12)) = (e11)) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> False). % 23.54/23.71 do 0 intro. intros zenon_H81 zenon_H106 zenon_H107. % 23.54/23.71 elim (classic ((op1 (e11) (e12)) = (op1 (e11) (e12)))); [ zenon_intro zenon_H108 | zenon_intro zenon_H109 ]. % 23.54/23.71 cut (((op1 (e11) (e12)) = (op1 (e11) (e12))) = ((op1 (e10) (e12)) = (op1 (e11) (e12)))). % 23.54/23.71 intro zenon_D_pnotp. % 23.54/23.71 apply zenon_H107. % 23.54/23.71 rewrite <- zenon_D_pnotp. % 23.54/23.71 exact zenon_H108. % 23.54/23.71 cut (((op1 (e11) (e12)) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H109]. % 23.54/23.71 cut (((op1 (e11) (e12)) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H10a]. % 23.54/23.71 congruence. % 23.54/23.71 cut (((op1 (e11) (e12)) = (e11)) = ((op1 (e11) (e12)) = (op1 (e10) (e12)))). % 23.54/23.71 intro zenon_D_pnotp. % 23.54/23.71 apply zenon_H10a. % 23.54/23.71 rewrite <- zenon_D_pnotp. % 23.54/23.71 exact zenon_H81. % 23.54/23.71 cut (((e11) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H10b]. % 23.54/23.71 cut (((op1 (e11) (e12)) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H109]. % 23.54/23.71 congruence. % 23.54/23.71 apply zenon_H109. apply refl_equal. % 23.54/23.71 apply zenon_H10b. apply sym_equal. exact zenon_H106. % 23.54/23.71 apply zenon_H109. apply refl_equal. % 23.54/23.71 apply zenon_H109. apply refl_equal. % 23.54/23.71 (* end of lemma zenon_L61_ *) % 23.54/23.71 assert (zenon_L62_ : (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e11) = (op1 (op1 (op1 (e13) (e13)) (e13)) (e13))) -> ((op1 (e10) (e13)) = (e11)) -> ((e12) = (op1 (op1 (e13) (e13)) (e13))) -> False). % 23.54/23.71 do 0 intro. intros zenon_Ha6 zenon_H87 zenon_H10c zenon_H4d. % 23.54/23.71 cut (((e11) = (op1 (op1 (op1 (e13) (e13)) (e13)) (e13))) = ((op1 (e10) (e13)) = (op1 (e12) (e13)))). % 23.54/23.71 intro zenon_D_pnotp. % 23.54/23.71 apply zenon_Ha6. % 23.54/23.71 rewrite <- zenon_D_pnotp. % 23.54/23.71 exact zenon_H87. % 23.54/23.71 cut (((op1 (op1 (op1 (e13) (e13)) (e13)) (e13)) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H84]. % 23.54/23.71 cut (((e11) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H10d]. % 23.54/23.71 congruence. % 23.54/23.71 elim (classic ((op1 (e10) (e13)) = (op1 (e10) (e13)))); [ zenon_intro zenon_H57 | zenon_intro zenon_H58 ]. % 23.54/23.71 cut (((op1 (e10) (e13)) = (op1 (e10) (e13))) = ((e11) = (op1 (e10) (e13)))). % 23.54/23.71 intro zenon_D_pnotp. % 23.54/23.71 apply zenon_H10d. % 23.54/23.71 rewrite <- zenon_D_pnotp. % 23.54/23.71 exact zenon_H57. % 23.54/23.71 cut (((op1 (e10) (e13)) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H58]. % 23.54/23.71 cut (((op1 (e10) (e13)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H10e]. % 23.54/23.71 congruence. % 23.54/23.71 exact (zenon_H10e zenon_H10c). % 23.54/23.71 apply zenon_H58. apply refl_equal. % 23.54/23.71 apply zenon_H58. apply refl_equal. % 23.54/23.71 apply (zenon_L25_); trivial. % 23.54/23.71 (* end of lemma zenon_L62_ *) % 23.54/23.71 assert (zenon_L63_ : (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((op1 (e10) (e11)) = (e10)) -> ((op1 (e10) (e12)) = (e10)) -> False). % 23.54/23.71 do 0 intro. intros zenon_H10f zenon_Hb9 zenon_H110. % 23.54/23.71 cut (((op1 (e10) (e11)) = (e10)) = ((op1 (e10) (e11)) = (op1 (e10) (e12)))). % 23.54/23.71 intro zenon_D_pnotp. % 23.54/23.71 apply zenon_H10f. % 23.54/23.71 rewrite <- zenon_D_pnotp. % 23.54/23.71 exact zenon_Hb9. % 23.54/23.71 cut (((e10) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H111]. % 23.54/23.71 cut (((op1 (e10) (e11)) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_Hf7]. % 23.54/23.71 congruence. % 23.54/23.71 apply zenon_Hf7. apply refl_equal. % 23.54/23.71 apply zenon_H111. apply sym_equal. exact zenon_H110. % 23.54/23.71 (* end of lemma zenon_L63_ *) % 23.54/23.71 assert (zenon_L64_ : (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e10) = (op1 (e13) (e13))) -> ((op1 (e13) (e12)) = (e10)) -> False). % 23.54/23.71 do 0 intro. intros zenon_H112 zenon_H28 zenon_H113. % 23.54/23.71 cut (((e10) = (op1 (e13) (e13))) = ((op1 (e13) (e12)) = (op1 (e13) (e13)))). % 23.54/23.71 intro zenon_D_pnotp. % 23.54/23.71 apply zenon_H112. % 23.54/23.71 rewrite <- zenon_D_pnotp. % 23.54/23.71 exact zenon_H28. % 23.54/23.71 cut (((op1 (e13) (e13)) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H55]. % 23.54/23.71 cut (((e10) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H114]. % 23.54/23.71 congruence. % 23.54/23.71 elim (classic ((op1 (e13) (e12)) = (op1 (e13) (e12)))); [ zenon_intro zenon_H115 | zenon_intro zenon_H116 ]. % 23.54/23.71 cut (((op1 (e13) (e12)) = (op1 (e13) (e12))) = ((e10) = (op1 (e13) (e12)))). % 23.54/23.71 intro zenon_D_pnotp. % 23.54/23.71 apply zenon_H114. % 23.54/23.71 rewrite <- zenon_D_pnotp. % 23.54/23.71 exact zenon_H115. % 23.54/23.71 cut (((op1 (e13) (e12)) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H116]. % 23.54/23.71 cut (((op1 (e13) (e12)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H117]. % 23.54/23.71 congruence. % 23.54/23.71 exact (zenon_H117 zenon_H113). % 23.54/23.71 apply zenon_H116. apply refl_equal. % 23.54/23.71 apply zenon_H116. apply refl_equal. % 23.54/23.71 apply zenon_H55. apply refl_equal. % 23.54/23.71 (* end of lemma zenon_L64_ *) % 23.54/23.71 assert (zenon_L65_ : ((op1 (e12) (e12)) = (e12)) -> ((op1 (e12) (e10)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> False). % 23.54/23.71 do 0 intro. intros zenon_H6d zenon_Hca zenon_Hcf. % 23.54/23.71 elim (classic ((op1 (e12) (e12)) = (op1 (e12) (e12)))); [ zenon_intro zenon_H70 | zenon_intro zenon_H71 ]. % 23.54/23.71 cut (((op1 (e12) (e12)) = (op1 (e12) (e12))) = ((op1 (e12) (e10)) = (op1 (e12) (e12)))). % 23.54/23.71 intro zenon_D_pnotp. % 23.54/23.71 apply zenon_Hcf. % 23.54/23.71 rewrite <- zenon_D_pnotp. % 23.54/23.71 exact zenon_H70. % 23.54/23.71 cut (((op1 (e12) (e12)) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H71]. % 23.54/23.71 cut (((op1 (e12) (e12)) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H118]. % 23.54/23.71 congruence. % 23.54/23.71 cut (((op1 (e12) (e12)) = (e12)) = ((op1 (e12) (e12)) = (op1 (e12) (e10)))). % 23.54/23.71 intro zenon_D_pnotp. % 23.54/23.71 apply zenon_H118. % 23.54/23.71 rewrite <- zenon_D_pnotp. % 23.54/23.71 exact zenon_H6d. % 23.54/23.71 cut (((e12) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H119]. % 23.54/23.71 cut (((op1 (e12) (e12)) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H71]. % 23.54/23.71 congruence. % 23.54/23.71 apply zenon_H71. apply refl_equal. % 23.54/23.71 apply zenon_H119. apply sym_equal. exact zenon_Hca. % 23.54/23.71 apply zenon_H71. apply refl_equal. % 23.54/23.71 apply zenon_H71. apply refl_equal. % 23.54/23.71 (* end of lemma zenon_L65_ *) % 23.54/23.71 assert (zenon_L66_ : ((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12))) -> ((op1 (e12) (e12)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((op1 (e10) (e11)) = (e10)) -> (~((e10) = (e11))) -> ((op1 (e11) (e12)) = (e11)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e10) = (op1 (e13) (e13))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> False). % 23.54/23.71 do 0 intro. intros zenon_Hce zenon_H6d zenon_Hcf zenon_H10f zenon_Hb9 zenon_H80 zenon_H81 zenon_H112 zenon_H28 zenon_H11a. % 23.54/23.71 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_Hc1 | zenon_intro zenon_Hca ]. % 23.54/23.71 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H110 | zenon_intro zenon_H11b ]. % 23.54/23.71 apply (zenon_L63_); trivial. % 23.54/23.71 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H82 | zenon_intro zenon_H11c ]. % 23.54/23.71 apply (zenon_L24_); trivial. % 23.54/23.71 apply (zenon_or_s _ _ zenon_H11c); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H113 ]. % 23.54/23.71 exact (zenon_Hc1 zenon_Hc5). % 23.54/23.71 apply (zenon_L64_); trivial. % 23.54/23.71 apply (zenon_L65_); trivial. % 23.54/23.71 (* end of lemma zenon_L66_ *) % 23.54/23.71 assert (zenon_L67_ : ((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10))) -> ((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> ((op1 (e13) (e11)) = (e11)) -> (~((e11) = (e12))) -> ((op1 (e12) (e12)) = (e12)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((e10) = (op1 (e13) (e13))) -> ((e12) = (op1 (op1 (e13) (e13)) (e13))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> ((e11) = (op1 (op1 (op1 (e13) (e13)) (e13)) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> False). % 23.54/23.71 do 0 intro. intros zenon_Hb8 zenon_Hce zenon_Hcf zenon_H10f zenon_H80 zenon_H112 zenon_H11a zenon_Hfe zenon_Hfb zenon_H68 zenon_H6d zenon_Hf9 zenon_H28 zenon_H4d zenon_Hf3 zenon_H11d zenon_H87 zenon_Ha6 zenon_H107 zenon_H101 zenon_H94. % 23.54/23.71 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H5b | zenon_intro zenon_Hb9 ]. % 23.54/23.71 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H7c | zenon_intro zenon_H81 ]. % 23.54/23.71 apply (zenon_L59_); trivial. % 23.54/23.71 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H60 | zenon_intro zenon_H11e ]. % 23.54/23.71 exact (zenon_H5b zenon_H60). % 23.54/23.71 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H35 | zenon_intro zenon_H11f ]. % 23.54/23.71 apply (zenon_L60_); trivial. % 23.54/23.71 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_H106 | zenon_intro zenon_H10c ]. % 23.54/23.71 apply (zenon_L61_); trivial. % 23.54/23.71 apply (zenon_L62_); trivial. % 23.54/23.71 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H7c | zenon_intro zenon_H81 ]. % 23.54/23.71 apply (zenon_L59_); trivial. % 23.54/23.71 apply (zenon_L66_); trivial. % 23.54/23.71 (* end of lemma zenon_L67_ *) % 23.54/23.71 assert (zenon_L68_ : (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> ((e10) = (op1 (e13) (e13))) -> ((e12) = (op1 (op1 (e13) (e13)) (e13))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (e12))) -> ((op1 (e12) (e10)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((op1 (e13) (e11)) = (e11)) -> (~((e11) = (e12))) -> False). % 23.54/23.71 do 0 intro. intros zenon_Hfe zenon_H28 zenon_H4d zenon_Hf3 zenon_H7c zenon_Hca zenon_Hc9 zenon_Hfb zenon_H68. % 23.54/23.71 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Hf4 | zenon_intro zenon_Hff ]. % 23.54/23.71 apply (zenon_L56_); trivial. % 23.54/23.71 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H7f | zenon_intro zenon_H100 ]. % 23.54/23.71 exact (zenon_H7c zenon_H7f). % 23.54/23.71 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_Hcb | zenon_intro zenon_Hfc ]. % 23.54/23.71 apply (zenon_L45_); trivial. % 23.54/23.71 apply (zenon_L58_); trivial. % 23.54/23.71 (* end of lemma zenon_L68_ *) % 23.54/23.71 assert (zenon_L69_ : (~((op1 (e11) (e11)) = (e12))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (e13))) -> ((e12) = (op1 (op1 (e13) (e13)) (e13))) -> ((e11) = (op1 (op1 (op1 (e13) (e13)) (e13)) (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10))) -> ((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> ((op1 (e13) (e11)) = (e11)) -> (~((e11) = (e12))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((e10) = (op1 (e13) (e13))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> ((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12))) -> False). % 23.54/23.71 do 0 intro. intros zenon_H7c zenon_Hc9 zenon_Hc0 zenon_Hc3 zenon_H4d zenon_H87 zenon_Hbc zenon_Hb8 zenon_Hce zenon_Hcf zenon_H10f zenon_H80 zenon_H112 zenon_H11a zenon_Hfe zenon_Hfb zenon_H68 zenon_Hf9 zenon_H28 zenon_Hf3 zenon_H11d zenon_Ha6 zenon_H107 zenon_H101 zenon_H94 zenon_H120. % 23.54/23.71 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_Hc1 | zenon_intro zenon_Hca ]. % 23.54/23.71 apply (zenon_or_s _ _ zenon_H120); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H6d ]. % 23.54/23.71 apply (zenon_L43_); trivial. % 23.54/23.71 apply (zenon_L67_); trivial. % 23.54/23.71 apply (zenon_L68_); trivial. % 23.54/23.71 (* end of lemma zenon_L69_ *) % 23.54/23.71 assert (zenon_L70_ : ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (e13))) -> ((e12) = (op1 (op1 (e13) (e13)) (e13))) -> ((e11) = (op1 (op1 (op1 (e13) (e13)) (e13)) (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10))) -> ((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((e10) = (e11))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> ((op1 (e13) (e11)) = (e11)) -> (~((e11) = (e12))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((e10) = (op1 (e13) (e13))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> ((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> False). % 23.54/23.71 do 0 intro. intros zenon_H9d zenon_H9a zenon_Hc9 zenon_Hc0 zenon_Hc3 zenon_H4d zenon_H87 zenon_Hbc zenon_Hb8 zenon_Hce zenon_Hcf zenon_H10f zenon_H80 zenon_H112 zenon_H11a zenon_Hfe zenon_Hfb zenon_H68 zenon_Hf9 zenon_H28 zenon_Hf3 zenon_H11d zenon_Ha6 zenon_H107 zenon_H101 zenon_H94 zenon_H120 zenon_H8f zenon_H8b zenon_H2e zenon_H62. % 23.54/23.71 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H90 | zenon_intro zenon_H66 ]. % 23.54/23.71 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H7c | zenon_intro zenon_H81 ]. % 23.54/23.71 apply (zenon_L69_); trivial. % 23.54/23.71 apply (zenon_L28_); trivial. % 23.54/23.71 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H7c | zenon_intro zenon_H81 ]. % 23.54/23.71 apply (zenon_L69_); trivial. % 23.54/23.71 apply (zenon_L30_); trivial. % 23.54/23.71 (* end of lemma zenon_L70_ *) % 23.54/23.71 assert (zenon_L71_ : (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((op1 (e11) (e11)) = (e11)) -> ((op1 (e13) (e11)) = (e11)) -> False). % 23.54/23.71 do 0 intro. intros zenon_H121 zenon_H99 zenon_Hfb. % 23.54/23.71 cut (((op1 (e11) (e11)) = (e11)) = ((op1 (e11) (e11)) = (op1 (e13) (e11)))). % 23.54/23.71 intro zenon_D_pnotp. % 23.54/23.71 apply zenon_H121. % 23.54/23.71 rewrite <- zenon_D_pnotp. % 23.54/23.71 exact zenon_H99. % 23.54/23.71 cut (((e11) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H122]. % 23.54/23.71 cut (((op1 (e11) (e11)) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H123]. % 23.54/23.71 congruence. % 23.54/23.71 apply zenon_H123. apply refl_equal. % 23.54/23.71 apply zenon_H122. apply sym_equal. exact zenon_Hfb. % 23.54/23.71 (* end of lemma zenon_L71_ *) % 23.54/23.71 assert (zenon_L72_ : (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> ((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (e13))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e11) = (op1 (op1 (op1 (e13) (e13)) (e13)) (e13))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e12) = (op1 (op1 (e13) (e13)) (e13))) -> ((e10) = (op1 (e13) (e13))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((e11) = (e12))) -> ((op1 (e13) (e11)) = (e11)) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12))) -> ((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10))) -> (~((op1 (e13) (e13)) = (e13))) -> False). % 23.54/23.71 do 0 intro. intros zenon_Hb4 zenon_H62 zenon_H8b zenon_H8f zenon_H120 zenon_Hbc zenon_Hc3 zenon_Hc0 zenon_Hc9 zenon_H9a zenon_H9d zenon_H121 zenon_H94 zenon_H101 zenon_H107 zenon_Ha6 zenon_H87 zenon_H11d zenon_Hf3 zenon_H4d zenon_H28 zenon_Hf9 zenon_H68 zenon_Hfb zenon_Hfe zenon_H11a zenon_H112 zenon_H80 zenon_H10f zenon_Hcf zenon_Hce zenon_Hb8 zenon_Ha4. % 23.54/23.71 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H2e | zenon_intro zenon_Hb5 ]. % 23.54/23.71 apply (zenon_L70_); trivial. % 23.54/23.71 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_H99 | zenon_intro zenon_Hb6 ]. % 23.54/23.71 apply (zenon_L71_); trivial. % 23.54/23.71 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_H6d | zenon_intro zenon_Ha0 ]. % 23.54/23.71 apply (zenon_L67_); trivial. % 23.54/23.71 exact (zenon_Ha4 zenon_Ha0). % 23.54/23.71 (* end of lemma zenon_L72_ *) % 23.54/23.71 assert (zenon_L73_ : ((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12))) -> (~((op1 (e12) (e13)) = (e12))) -> (~((op1 (e12) (e12)) = (e10))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((e11) = (op1 (op1 (op1 (e13) (e13)) (e13)) (e13))) -> ((e12) = (op1 (op1 (e13) (e13)) (e13))) -> (~((op1 (e12) (e12)) = (e12))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> False). % 23.54/23.71 do 0 intro. intros zenon_Hc8 zenon_Hab zenon_Hc1 zenon_Hbc zenon_H87 zenon_H4d zenon_Hc2 zenon_Hc0. % 23.54/23.71 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Ha5 ]. % 23.54/23.71 apply (zenon_L43_); trivial. % 23.54/23.71 exact (zenon_Hab zenon_Ha5). % 23.54/23.71 (* end of lemma zenon_L73_ *) % 23.54/23.71 assert (zenon_L74_ : ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> ((op1 (e11) (e10)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e12) = (op1 (op1 (e13) (e13)) (e13))) -> ((e10) = (op1 (e13) (e13))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op1 (e12) (e12)) = (e12)) -> (~((e11) = (e12))) -> ((op1 (e13) (e11)) = (e11)) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> False). % 23.54/23.71 do 0 intro. intros zenon_H94 zenon_H66 zenon_H9a zenon_Hf3 zenon_H4d zenon_H28 zenon_Hf9 zenon_H6d zenon_H68 zenon_Hfb zenon_Hfe. % 23.54/23.71 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H7c | zenon_intro zenon_H81 ]. % 23.54/23.71 apply (zenon_L59_); trivial. % 23.54/23.71 apply (zenon_L30_); trivial. % 23.54/23.71 (* end of lemma zenon_L74_ *) % 23.54/23.71 assert (zenon_L75_ : ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> ((op1 (e13) (e11)) = (e11)) -> (~((e11) = (e12))) -> ((op1 (e12) (e12)) = (e12)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((e10) = (op1 (e13) (e13))) -> ((e12) = (op1 (op1 (e13) (e13)) (e13))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> False). % 23.54/23.71 do 0 intro. intros zenon_H9d zenon_H9a zenon_Hfe zenon_Hfb zenon_H68 zenon_H6d zenon_Hf9 zenon_H28 zenon_H4d zenon_Hf3 zenon_H8f zenon_H8b zenon_H80 zenon_H2e zenon_H62 zenon_H94. % 23.54/23.71 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H90 | zenon_intro zenon_H66 ]. % 23.54/23.71 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H7c | zenon_intro zenon_H81 ]. % 23.54/23.71 apply (zenon_L59_); trivial. % 23.54/23.71 apply (zenon_L28_); trivial. % 23.54/23.71 apply (zenon_L74_); trivial. % 23.54/23.71 (* end of lemma zenon_L75_ *) % 23.54/23.71 assert (zenon_L76_ : ((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12))) -> (~((op1 (e11) (e11)) = (e12))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12))) -> (~((op1 (e12) (e13)) = (e12))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((e11) = (op1 (op1 (op1 (e13) (e13)) (e13)) (e13))) -> ((e12) = (op1 (op1 (e13) (e13)) (e13))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> ((op1 (e13) (e11)) = (e11)) -> (~((e11) = (e12))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((e10) = (op1 (e13) (e13))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> ((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12))) -> False). % 23.54/23.71 do 0 intro. intros zenon_Hce zenon_H7c zenon_Hc9 zenon_Hc8 zenon_Hab zenon_Hbc zenon_H87 zenon_H4d zenon_Hc0 zenon_H9d zenon_H9a zenon_Hfe zenon_Hfb zenon_H68 zenon_Hf9 zenon_H28 zenon_Hf3 zenon_H8f zenon_H8b zenon_H80 zenon_H2e zenon_H62 zenon_H94 zenon_H120. % 23.54/23.71 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_Hc1 | zenon_intro zenon_Hca ]. % 23.54/23.71 apply (zenon_or_s _ _ zenon_H120); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H6d ]. % 23.54/23.71 apply (zenon_L73_); trivial. % 23.54/23.71 apply (zenon_L75_); trivial. % 23.54/23.71 apply (zenon_L68_); trivial. % 23.54/23.71 (* end of lemma zenon_L76_ *) % 23.54/23.71 assert (zenon_L77_ : (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> ((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e13)) = (e12))) -> ((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e11) = (op1 (op1 (op1 (e13) (e13)) (e13)) (e13))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e12) = (op1 (op1 (e13) (e13)) (e13))) -> ((e10) = (op1 (e13) (e13))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((e11) = (e12))) -> ((op1 (e13) (e11)) = (e11)) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12))) -> ((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10))) -> (~((op1 (e13) (e13)) = (e13))) -> False). % 23.54/23.71 do 0 intro. intros zenon_Hb4 zenon_H120 zenon_H62 zenon_H8b zenon_H8f zenon_H9a zenon_H9d zenon_Hc0 zenon_Hbc zenon_Hab zenon_Hc8 zenon_Hc9 zenon_H121 zenon_H94 zenon_H101 zenon_H107 zenon_Ha6 zenon_H87 zenon_H11d zenon_Hf3 zenon_H4d zenon_H28 zenon_Hf9 zenon_H68 zenon_Hfb zenon_Hfe zenon_H11a zenon_H112 zenon_H80 zenon_H10f zenon_Hcf zenon_Hce zenon_Hb8 zenon_Ha4. % 23.54/23.71 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H2e | zenon_intro zenon_Hb5 ]. % 23.54/23.71 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H90 | zenon_intro zenon_H66 ]. % 23.54/23.71 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H7c | zenon_intro zenon_H81 ]. % 23.54/23.71 apply (zenon_L76_); trivial. % 23.54/23.71 apply (zenon_L28_); trivial. % 23.54/23.71 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H7c | zenon_intro zenon_H81 ]. % 23.54/23.71 apply (zenon_L76_); trivial. % 23.54/23.71 apply (zenon_L30_); trivial. % 23.54/23.71 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_H99 | zenon_intro zenon_Hb6 ]. % 23.54/23.71 apply (zenon_L71_); trivial. % 23.54/23.71 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_H6d | zenon_intro zenon_Ha0 ]. % 23.54/23.71 apply (zenon_L67_); trivial. % 23.54/23.71 exact (zenon_Ha4 zenon_Ha0). % 23.54/23.71 (* end of lemma zenon_L77_ *) % 23.54/23.71 assert (zenon_L78_ : (((op1 (e13) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))) -> ((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> ((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e10) = (op1 (e13) (e13))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((e11) = (e12))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12))) -> ((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((e11) = (op1 (op1 (op1 (e13) (e13)) (e13)) (e13))) -> ((e12) = (op1 (op1 (e13) (e13)) (e13))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> False). % 23.54/23.71 do 0 intro. intros zenon_H124 zenon_Hc8 zenon_Hb4 zenon_H121 zenon_H62 zenon_H8b zenon_H8f zenon_H120 zenon_H94 zenon_H101 zenon_H107 zenon_Ha6 zenon_H11d zenon_Hf3 zenon_H28 zenon_Hf9 zenon_H68 zenon_Hfe zenon_H11a zenon_H112 zenon_H80 zenon_H10f zenon_Hcf zenon_Hce zenon_Hb8 zenon_Hbc zenon_H87 zenon_H4d zenon_Hc0 zenon_Hc9 zenon_H9a zenon_H9d. % 23.54/23.71 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_Hfb. zenon_intro zenon_Hf2. % 23.54/23.71 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H126. zenon_intro zenon_H125. % 23.54/23.71 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_H128. zenon_intro zenon_H127. % 23.54/23.71 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_H12a. zenon_intro zenon_H129. % 23.54/23.71 apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hab ]. % 23.54/23.71 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_Ha4 | zenon_intro zenon_Ha4 ]. % 23.54/23.71 apply (zenon_L72_); trivial. % 23.54/23.71 apply (zenon_L72_); trivial. % 23.54/23.71 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_Ha4 | zenon_intro zenon_Ha4 ]. % 23.54/23.71 apply (zenon_L77_); trivial. % 23.54/23.71 apply (zenon_L77_); trivial. % 23.54/23.71 (* end of lemma zenon_L78_ *) % 23.54/23.71 assert (zenon_L79_ : ((op1 (e13) (e12)) = (e12)) -> ((op1 (e12) (e12)) = (e12)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> False). % 23.54/23.71 do 0 intro. intros zenon_H12b zenon_H6d zenon_H12c. % 23.54/23.71 elim (classic ((op1 (e13) (e12)) = (op1 (e13) (e12)))); [ zenon_intro zenon_H115 | zenon_intro zenon_H116 ]. % 23.54/23.71 cut (((op1 (e13) (e12)) = (op1 (e13) (e12))) = ((op1 (e12) (e12)) = (op1 (e13) (e12)))). % 23.54/23.71 intro zenon_D_pnotp. % 23.54/23.71 apply zenon_H12c. % 23.54/23.71 rewrite <- zenon_D_pnotp. % 23.54/23.71 exact zenon_H115. % 23.54/23.71 cut (((op1 (e13) (e12)) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H116]. % 23.54/23.71 cut (((op1 (e13) (e12)) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H12d]. % 23.54/23.71 congruence. % 23.54/23.71 cut (((op1 (e13) (e12)) = (e12)) = ((op1 (e13) (e12)) = (op1 (e12) (e12)))). % 23.54/23.71 intro zenon_D_pnotp. % 23.54/23.71 apply zenon_H12d. % 23.54/23.71 rewrite <- zenon_D_pnotp. % 23.54/23.71 exact zenon_H12b. % 23.54/23.71 cut (((e12) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H12e]. % 23.54/23.71 cut (((op1 (e13) (e12)) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H116]. % 23.54/23.71 congruence. % 23.54/23.71 apply zenon_H116. apply refl_equal. % 23.54/23.71 apply zenon_H12e. apply sym_equal. exact zenon_H6d. % 23.54/23.71 apply zenon_H116. apply refl_equal. % 23.54/23.71 apply zenon_H116. apply refl_equal. % 23.54/23.71 (* end of lemma zenon_L79_ *) % 23.54/23.71 assert (zenon_L80_ : ((op1 (e13) (e12)) = (e12)) -> ((op1 (e13) (e11)) = (e12)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> False). % 23.54/23.71 do 0 intro. intros zenon_H12b zenon_Hfc zenon_H12f. % 23.54/23.71 elim (classic ((op1 (e13) (e12)) = (op1 (e13) (e12)))); [ zenon_intro zenon_H115 | zenon_intro zenon_H116 ]. % 23.54/23.71 cut (((op1 (e13) (e12)) = (op1 (e13) (e12))) = ((op1 (e13) (e11)) = (op1 (e13) (e12)))). % 23.54/23.71 intro zenon_D_pnotp. % 23.54/23.71 apply zenon_H12f. % 23.54/23.71 rewrite <- zenon_D_pnotp. % 23.54/23.71 exact zenon_H115. % 23.54/23.71 cut (((op1 (e13) (e12)) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H116]. % 23.54/23.71 cut (((op1 (e13) (e12)) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H130]. % 23.54/23.71 congruence. % 23.54/23.71 cut (((op1 (e13) (e12)) = (e12)) = ((op1 (e13) (e12)) = (op1 (e13) (e11)))). % 23.54/23.71 intro zenon_D_pnotp. % 23.54/23.71 apply zenon_H130. % 23.54/23.71 rewrite <- zenon_D_pnotp. % 23.54/23.71 exact zenon_H12b. % 23.54/23.71 cut (((e12) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H131]. % 23.54/23.71 cut (((op1 (e13) (e12)) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H116]. % 23.54/23.71 congruence. % 23.54/23.71 apply zenon_H116. apply refl_equal. % 23.54/23.71 apply zenon_H131. apply sym_equal. exact zenon_Hfc. % 23.54/23.71 apply zenon_H116. apply refl_equal. % 23.54/23.71 apply zenon_H116. apply refl_equal. % 23.54/23.71 (* end of lemma zenon_L80_ *) % 23.54/23.71 assert (zenon_L81_ : (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> ((e10) = (op1 (e13) (e13))) -> ((e12) = (op1 (op1 (e13) (e13)) (e13))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (e12))) -> ((op1 (e12) (e10)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((op1 (e13) (e12)) = (e12)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> False). % 23.54/23.71 do 0 intro. intros zenon_Hfe zenon_H28 zenon_H4d zenon_Hf3 zenon_H7c zenon_Hca zenon_Hc9 zenon_H12b zenon_H12f. % 23.54/23.71 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Hf4 | zenon_intro zenon_Hff ]. % 23.54/23.71 apply (zenon_L56_); trivial. % 23.54/23.71 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H7f | zenon_intro zenon_H100 ]. % 23.54/23.71 exact (zenon_H7c zenon_H7f). % 23.54/23.71 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_Hcb | zenon_intro zenon_Hfc ]. % 23.54/23.71 apply (zenon_L45_); trivial. % 23.54/23.71 apply (zenon_L80_); trivial. % 23.54/23.71 (* end of lemma zenon_L81_ *) % 23.54/23.71 assert (zenon_L82_ : ((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e10) = (op1 (e13) (e13))) -> (~((op1 (e11) (e11)) = (e12))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (e13))) -> ((e12) = (op1 (op1 (e13) (e13)) (e13))) -> ((e11) = (op1 (op1 (op1 (e13) (e13)) (e13)) (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e12)) = (e12)) -> ((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12))) -> False). % 23.54/23.71 do 0 intro. intros zenon_Hce zenon_Hf3 zenon_H28 zenon_H7c zenon_Hc9 zenon_H12f zenon_Hfe zenon_Hc0 zenon_Hc3 zenon_H4d zenon_H87 zenon_Hbc zenon_H12c zenon_H12b zenon_H120. % 23.54/23.71 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_Hc1 | zenon_intro zenon_Hca ]. % 23.54/23.71 apply (zenon_or_s _ _ zenon_H120); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H6d ]. % 23.54/23.71 apply (zenon_L43_); trivial. % 23.54/23.71 apply (zenon_L79_); trivial. % 23.54/23.71 apply (zenon_L81_); trivial. % 23.54/23.71 (* end of lemma zenon_L82_ *) % 23.54/23.71 assert (zenon_L83_ : ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e10) = (op1 (e13) (e13))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (e13))) -> ((e12) = (op1 (op1 (e13) (e13)) (e13))) -> ((e11) = (op1 (op1 (op1 (e13) (e13)) (e13)) (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e12)) = (e12)) -> ((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> False). % 23.54/23.71 do 0 intro. intros zenon_H9d zenon_H9a zenon_Hce zenon_Hf3 zenon_H28 zenon_Hc9 zenon_H12f zenon_Hfe zenon_Hc0 zenon_Hc3 zenon_H4d zenon_H87 zenon_Hbc zenon_H12c zenon_H12b zenon_H120 zenon_H8f zenon_H8b zenon_H80 zenon_H2e zenon_H62 zenon_H94. % 23.54/23.71 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H90 | zenon_intro zenon_H66 ]. % 23.54/23.71 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H7c | zenon_intro zenon_H81 ]. % 23.54/23.71 apply (zenon_L82_); trivial. % 23.54/23.71 apply (zenon_L28_); trivial. % 23.54/23.71 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H7c | zenon_intro zenon_H81 ]. % 23.54/23.71 apply (zenon_L82_); trivial. % 23.54/23.71 apply (zenon_L30_); trivial. % 23.54/23.71 (* end of lemma zenon_L83_ *) % 23.54/23.71 assert (zenon_L84_ : (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> ((op1 (e11) (e11)) = (e11)) -> ((op1 (e11) (e12)) = (e11)) -> False). % 23.54/23.71 do 0 intro. intros zenon_H132 zenon_H99 zenon_H81. % 23.54/23.71 cut (((op1 (e11) (e11)) = (e11)) = ((op1 (e11) (e11)) = (op1 (e11) (e12)))). % 23.54/23.71 intro zenon_D_pnotp. % 23.54/23.71 apply zenon_H132. % 23.54/23.71 rewrite <- zenon_D_pnotp. % 23.54/23.71 exact zenon_H99. % 23.54/23.71 cut (((e11) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H9b]. % 23.54/23.71 cut (((op1 (e11) (e11)) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H123]. % 23.54/23.71 congruence. % 23.54/23.71 apply zenon_H123. apply refl_equal. % 23.54/23.71 apply zenon_H9b. apply sym_equal. exact zenon_H81. % 23.54/23.71 (* end of lemma zenon_L84_ *) % 23.54/23.71 assert (zenon_L85_ : ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> ((op1 (e11) (e11)) = (e11)) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> ((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12))) -> ((op1 (e13) (e12)) = (e12)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((e11) = (op1 (op1 (op1 (e13) (e13)) (e13)) (e13))) -> ((e12) = (op1 (op1 (e13) (e13)) (e13))) -> (~((op1 (e12) (e12)) = (e13))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (e13) (e13))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12))) -> False). % 23.54/23.71 do 0 intro. intros zenon_H94 zenon_H99 zenon_H132 zenon_H120 zenon_H12b zenon_H12c zenon_Hbc zenon_H87 zenon_H4d zenon_Hc3 zenon_Hc0 zenon_Hfe zenon_H12f zenon_Hc9 zenon_H28 zenon_Hf3 zenon_Hce. % 23.54/23.71 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H7c | zenon_intro zenon_H81 ]. % 23.54/23.71 apply (zenon_L82_); trivial. % 23.54/23.71 apply (zenon_L84_); trivial. % 23.54/23.71 (* end of lemma zenon_L85_ *) % 23.54/23.71 assert (zenon_L86_ : (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((e10) = (e11))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> ((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e10) = (op1 (e13) (e13))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (e13))) -> ((e12) = (op1 (op1 (e13) (e13)) (e13))) -> ((e11) = (op1 (op1 (op1 (e13) (e13)) (e13)) (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e12)) = (e12)) -> (~((op1 (e13) (e13)) = (e13))) -> False). % 23.54/23.71 do 0 intro. intros zenon_Hb4 zenon_H62 zenon_H80 zenon_H8b zenon_H8f zenon_H9a zenon_H9d zenon_Hce zenon_Hf3 zenon_H28 zenon_Hc9 zenon_H12f zenon_Hfe zenon_Hc0 zenon_Hc3 zenon_H4d zenon_H87 zenon_Hbc zenon_H120 zenon_H132 zenon_H94 zenon_H12c zenon_H12b zenon_Ha4. % 23.54/23.71 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H2e | zenon_intro zenon_Hb5 ]. % 23.54/23.71 apply (zenon_L83_); trivial. % 23.54/23.71 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_H99 | zenon_intro zenon_Hb6 ]. % 23.54/23.71 apply (zenon_L85_); trivial. % 23.54/23.71 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_H6d | zenon_intro zenon_Ha0 ]. % 23.54/23.71 apply (zenon_L79_); trivial. % 23.54/23.71 exact (zenon_Ha4 zenon_Ha0). % 23.54/23.71 (* end of lemma zenon_L86_ *) % 23.54/23.71 assert (zenon_L87_ : ((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e10) = (op1 (e13) (e13))) -> (~((op1 (e11) (e11)) = (e12))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> ((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12))) -> (~((op1 (e12) (e13)) = (e12))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((e11) = (op1 (op1 (op1 (e13) (e13)) (e13)) (e13))) -> ((e12) = (op1 (op1 (e13) (e13)) (e13))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e12)) = (e12)) -> ((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12))) -> False). % 23.54/23.71 do 0 intro. intros zenon_Hce zenon_Hf3 zenon_H28 zenon_H7c zenon_Hc9 zenon_H12f zenon_Hfe zenon_Hc8 zenon_Hab zenon_Hbc zenon_H87 zenon_H4d zenon_Hc0 zenon_H12c zenon_H12b zenon_H120. % 23.54/23.71 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_Hc1 | zenon_intro zenon_Hca ]. % 23.54/23.71 apply (zenon_or_s _ _ zenon_H120); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H6d ]. % 23.54/23.71 apply (zenon_L73_); trivial. % 23.54/23.71 apply (zenon_L79_); trivial. % 23.54/23.71 apply (zenon_L81_); trivial. % 23.54/23.71 (* end of lemma zenon_L87_ *) % 23.54/23.71 assert (zenon_L88_ : ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> ((op1 (e11) (e11)) = (e11)) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> ((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12))) -> ((op1 (e13) (e12)) = (e12)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((e12) = (op1 (op1 (e13) (e13)) (e13))) -> ((e11) = (op1 (op1 (op1 (e13) (e13)) (e13)) (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e13)) = (e12))) -> ((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (e13) (e13))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12))) -> False). % 23.54/23.71 do 0 intro. intros zenon_H94 zenon_H99 zenon_H132 zenon_H120 zenon_H12b zenon_H12c zenon_Hc0 zenon_H4d zenon_H87 zenon_Hbc zenon_Hab zenon_Hc8 zenon_Hfe zenon_H12f zenon_Hc9 zenon_H28 zenon_Hf3 zenon_Hce. % 23.54/23.71 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H7c | zenon_intro zenon_H81 ]. % 23.54/23.71 apply (zenon_L87_); trivial. % 23.54/23.71 apply (zenon_L84_); trivial. % 23.54/23.71 (* end of lemma zenon_L88_ *) % 23.54/23.71 assert (zenon_L89_ : (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((e10) = (e11))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> ((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e10) = (op1 (e13) (e13))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> ((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12))) -> (~((op1 (e12) (e13)) = (e12))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((e11) = (op1 (op1 (op1 (e13) (e13)) (e13)) (e13))) -> ((e12) = (op1 (op1 (e13) (e13)) (e13))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e12)) = (e12)) -> (~((op1 (e13) (e13)) = (e13))) -> False). % 23.54/23.71 do 0 intro. intros zenon_Hb4 zenon_H62 zenon_H80 zenon_H8b zenon_H8f zenon_H9a zenon_H9d zenon_Hce zenon_Hf3 zenon_H28 zenon_Hc9 zenon_H12f zenon_Hfe zenon_Hc8 zenon_Hab zenon_Hbc zenon_H87 zenon_H4d zenon_Hc0 zenon_H120 zenon_H132 zenon_H94 zenon_H12c zenon_H12b zenon_Ha4. % 23.54/23.71 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H2e | zenon_intro zenon_Hb5 ]. % 23.54/23.71 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H90 | zenon_intro zenon_H66 ]. % 23.54/23.71 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H7c | zenon_intro zenon_H81 ]. % 23.54/23.71 apply (zenon_L87_); trivial. % 23.54/23.71 apply (zenon_L28_); trivial. % 23.54/23.71 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H7c | zenon_intro zenon_H81 ]. % 23.54/23.71 apply (zenon_L87_); trivial. % 23.54/23.71 apply (zenon_L30_); trivial. % 23.54/23.71 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_H99 | zenon_intro zenon_Hb6 ]. % 23.54/23.71 apply (zenon_L88_); trivial. % 23.54/23.71 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_H6d | zenon_intro zenon_Ha0 ]. % 23.54/23.71 apply (zenon_L79_); trivial. % 23.54/23.71 exact (zenon_Ha4 zenon_Ha0). % 23.54/23.71 (* end of lemma zenon_L89_ *) % 23.54/23.71 assert (zenon_L90_ : ((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12)))) -> ((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((e10) = (e11))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> ((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12))) -> ((op1 (e13) (e12)) = (e12)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((e11) = (op1 (op1 (op1 (e13) (e13)) (e13)) (e13))) -> ((e12) = (op1 (op1 (e13) (e13)) (e13))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (e13) (e13))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> ((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))) -> False). % 23.54/23.71 do 0 intro. intros zenon_H12a zenon_Hc8 zenon_Hb4 zenon_H132 zenon_H94 zenon_H62 zenon_H80 zenon_H8b zenon_H8f zenon_H120 zenon_H12b zenon_H12c zenon_Hbc zenon_H87 zenon_H4d zenon_Hc0 zenon_Hfe zenon_H12f zenon_Hc9 zenon_H28 zenon_Hf3 zenon_Hce zenon_H9a zenon_H9d zenon_H129. % 23.54/23.71 apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hab ]. % 23.54/23.71 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_Ha4 | zenon_intro zenon_Ha4 ]. % 23.54/23.71 apply (zenon_L86_); trivial. % 23.54/23.71 apply (zenon_L86_); trivial. % 23.54/23.71 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_Ha4 | zenon_intro zenon_Ha4 ]. % 23.54/23.71 apply (zenon_L89_); trivial. % 23.54/23.71 apply (zenon_L89_); trivial. % 23.54/23.71 (* end of lemma zenon_L90_ *) % 23.54/23.71 assert (zenon_L91_ : (((op1 (e13) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))) -> ((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((e10) = (e11))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> ((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((e11) = (op1 (op1 (op1 (e13) (e13)) (e13)) (e13))) -> ((e12) = (op1 (op1 (e13) (e13)) (e13))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (e13) (e13))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> False). % 23.54/23.71 do 0 intro. intros zenon_H133 zenon_Hc8 zenon_Hb4 zenon_H132 zenon_H94 zenon_H62 zenon_H80 zenon_H8b zenon_H8f zenon_H120 zenon_H12c zenon_Hbc zenon_H87 zenon_H4d zenon_Hc0 zenon_Hfe zenon_H12f zenon_Hc9 zenon_H28 zenon_Hf3 zenon_Hce zenon_H9a zenon_H9d. % 23.54/23.71 apply (zenon_and_s _ _ zenon_H133). zenon_intro zenon_H12b. zenon_intro zenon_Hf2. % 23.54/23.71 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H126. zenon_intro zenon_H125. % 23.54/23.71 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_H128. zenon_intro zenon_H127. % 23.54/23.71 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_H12a. zenon_intro zenon_H129. % 23.54/23.71 apply (zenon_L90_); trivial. % 23.54/23.71 (* end of lemma zenon_L91_ *) % 23.54/23.71 assert (zenon_L92_ : (((op1 (e13) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13)))))))) -> False). % 23.54/23.71 do 0 intro. intros zenon_H134. % 23.54/23.71 apply (zenon_and_s _ _ zenon_H134). zenon_intro zenon_Ha0. zenon_intro zenon_Hf2. % 23.54/23.71 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_H126. zenon_intro zenon_H125. % 23.54/23.71 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_H128. zenon_intro zenon_H127. % 23.54/23.71 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_H12a. zenon_intro zenon_H129. % 23.54/23.71 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_Ha4 | zenon_intro zenon_Ha4 ]. % 23.54/23.71 exact (zenon_Ha4 zenon_Ha0). % 23.54/23.71 exact (zenon_Ha4 zenon_Ha0). % 23.54/23.71 (* end of lemma zenon_L92_ *) % 23.54/23.71 assert (zenon_L93_ : ((((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e11) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e11) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e11) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e12) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e12) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e12) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e13) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e13) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e13) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))\/(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))))))))))))))))) -> ((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))) -> (~((h4 (op1 (e10) (e10))) = (op2 (h4 (e10)) (h4 (e10))))) -> ((e20) = (op2 (e23) (e23))) -> ((h4 (e10)) = (op2 (e23) (e23))) -> ((op2 (e20) (e20)) = (e20)) -> ((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((e11) = (e12))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e10) = (op1 (e13) (e13))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((e12) = (op1 (op1 (e13) (e13)) (e13))) -> ((e11) = (op1 (op1 (op1 (e13) (e13)) (e13)) (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> ((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12))) -> False). % 23.54/23.71 do 0 intro. intros zenon_H135 zenon_H27 zenon_H3d zenon_H14 zenon_H3b zenon_H1a zenon_H9e zenon_H95 zenon_H6f zenon_H7b zenon_H5c zenon_H4c zenon_H53 zenon_H5a zenon_Hb1 zenon_Hd1 zenon_Hdb zenon_H86 zenon_H75 zenon_He7 zenon_Heb zenon_Hb8 zenon_Hcf zenon_H10f zenon_H112 zenon_H11a zenon_H68 zenon_Hf9 zenon_H11d zenon_Ha6 zenon_H107 zenon_H101 zenon_H121 zenon_H9d zenon_H9a zenon_Hce zenon_Hf3 zenon_H28 zenon_Hc9 zenon_H12f zenon_Hfe zenon_Hc0 zenon_H4d zenon_H87 zenon_Hbc zenon_H12c zenon_H120 zenon_H8f zenon_H8b zenon_H80 zenon_H62 zenon_H94 zenon_H132 zenon_Hb4 zenon_Hc8. % 23.54/23.71 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H2c | zenon_intro zenon_H136 ]. % 23.54/23.71 apply (zenon_L7_); trivial. % 23.54/23.71 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H34 | zenon_intro zenon_H137 ]. % 23.54/23.71 apply (zenon_L8_); trivial. % 23.54/23.71 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H36 | zenon_intro zenon_H138 ]. % 23.54/23.71 apply (zenon_L9_); trivial. % 23.54/23.71 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H38 | zenon_intro zenon_H139 ]. % 23.54/23.71 apply (zenon_L10_); trivial. % 23.54/23.71 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H13b | zenon_intro zenon_H13a ]. % 23.54/23.71 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_H63. zenon_intro zenon_H13c. % 23.54/23.71 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_Hba. zenon_intro zenon_H13d. % 23.54/23.71 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_Hbb. zenon_intro zenon_H13e. % 23.54/23.71 apply (zenon_L41_); trivial. % 23.54/23.71 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H140 | zenon_intro zenon_H13f ]. % 23.54/23.71 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H99. zenon_intro zenon_H13c. % 23.54/23.71 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_Hba. zenon_intro zenon_H13d. % 23.54/23.71 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_Hbb. zenon_intro zenon_H13e. % 23.54/23.71 apply (zenon_L41_); trivial. % 23.54/23.71 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H142 | zenon_intro zenon_H141 ]. % 23.54/23.71 apply (zenon_and_s _ _ zenon_H142). zenon_intro zenon_H6e. zenon_intro zenon_H13c. % 23.54/23.71 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_Hba. zenon_intro zenon_H13d. % 23.54/23.71 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_Hbb. zenon_intro zenon_H13e. % 23.54/23.71 apply (zenon_L41_); trivial. % 23.54/23.71 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H144 | zenon_intro zenon_H143 ]. % 23.54/23.71 apply (zenon_and_s _ _ zenon_H144). zenon_intro zenon_He4. zenon_intro zenon_H13c. % 23.54/23.71 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_Hba. zenon_intro zenon_H13d. % 23.54/23.71 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_Hbb. zenon_intro zenon_H13e. % 23.54/23.71 apply (zenon_L41_); trivial. % 23.54/23.71 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H145 ]. % 23.54/23.71 apply (zenon_L47_); trivial. % 23.54/23.71 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_He1 | zenon_intro zenon_H146 ]. % 23.54/23.71 apply (zenon_L49_); trivial. % 23.54/23.71 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_He2 | zenon_intro zenon_H147 ]. % 23.54/23.71 apply (zenon_L50_); trivial. % 23.54/23.71 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_Hea | zenon_intro zenon_H148 ]. % 23.54/23.71 apply (zenon_L53_); trivial. % 23.54/23.71 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H149 ]. % 23.54/23.71 apply (zenon_L55_); trivial. % 23.54/23.71 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H124 | zenon_intro zenon_H14a ]. % 23.54/23.71 apply (zenon_L78_); trivial. % 23.54/23.71 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_H133 | zenon_intro zenon_H134 ]. % 23.54/23.71 apply (zenon_L91_); trivial. % 23.54/23.71 apply (zenon_L92_); trivial. % 23.54/23.71 (* end of lemma zenon_L93_ *) % 23.54/23.71 assert (zenon_L94_ : (~((e23) = (e23))) -> False). % 23.54/23.71 do 0 intro. intros zenon_H14b. % 23.54/23.71 apply zenon_H14b. apply refl_equal. % 23.54/23.71 (* end of lemma zenon_L94_ *) % 23.54/23.71 assert (zenon_L95_ : (~((op2 (op2 (e23) (e23)) (e23)) = (op2 (e20) (e23)))) -> ((e20) = (op2 (e23) (e23))) -> False). % 23.54/23.71 do 0 intro. intros zenon_H14c zenon_H14. % 23.54/23.71 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H14b]. % 23.54/23.71 cut (((op2 (e23) (e23)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H16]. % 23.54/23.71 congruence. % 23.54/23.71 apply zenon_H16. apply sym_equal. exact zenon_H14. % 23.54/23.71 apply zenon_H14b. apply refl_equal. % 23.54/23.71 (* end of lemma zenon_L95_ *) % 23.54/23.71 assert (zenon_L96_ : (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (op2 (e23) (e23)) (e23))) -> ((op2 (e20) (e20)) = (e22)) -> ((e20) = (op2 (e23) (e23))) -> False). % 23.54/23.71 do 0 intro. intros zenon_H14d zenon_H14e zenon_H14f zenon_H14. % 23.54/23.71 cut (((e22) = (op2 (op2 (e23) (e23)) (e23))) = ((op2 (e20) (e20)) = (op2 (e20) (e23)))). % 23.54/23.71 intro zenon_D_pnotp. % 23.54/23.71 apply zenon_H14d. % 23.54/23.71 rewrite <- zenon_D_pnotp. % 23.54/23.71 exact zenon_H14e. % 23.54/23.71 cut (((op2 (op2 (e23) (e23)) (e23)) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H14c]. % 23.54/23.71 cut (((e22) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H150]. % 23.54/23.71 congruence. % 23.54/23.71 elim (classic ((op2 (e20) (e20)) = (op2 (e20) (e20)))); [ zenon_intro zenon_H151 | zenon_intro zenon_H152 ]. % 23.54/23.71 cut (((op2 (e20) (e20)) = (op2 (e20) (e20))) = ((e22) = (op2 (e20) (e20)))). % 23.54/23.71 intro zenon_D_pnotp. % 23.54/23.71 apply zenon_H150. % 23.54/23.71 rewrite <- zenon_D_pnotp. % 23.54/23.71 exact zenon_H151. % 23.54/23.71 cut (((op2 (e20) (e20)) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H152]. % 23.54/23.71 cut (((op2 (e20) (e20)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H153]. % 23.54/23.71 congruence. % 23.54/23.71 exact (zenon_H153 zenon_H14f). % 23.54/23.71 apply zenon_H152. apply refl_equal. % 23.54/23.71 apply zenon_H152. apply refl_equal. % 23.54/23.71 apply (zenon_L95_); trivial. % 23.54/23.71 (* end of lemma zenon_L96_ *) % 23.54/23.71 assert (zenon_L97_ : (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((e20) = (op2 (e23) (e23))) -> ((op2 (e20) (e23)) = (e20)) -> False). % 23.54/23.71 do 0 intro. intros zenon_H154 zenon_H14 zenon_H155. % 23.54/23.71 cut (((e20) = (op2 (e23) (e23))) = ((op2 (e20) (e23)) = (op2 (e23) (e23)))). % 23.54/23.71 intro zenon_D_pnotp. % 23.54/23.71 apply zenon_H154. % 23.54/23.71 rewrite <- zenon_D_pnotp. % 23.54/23.71 exact zenon_H14. % 23.54/23.71 cut (((op2 (e23) (e23)) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H156]. % 23.54/23.71 cut (((e20) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H157]. % 23.54/23.71 congruence. % 23.54/23.71 elim (classic ((op2 (e20) (e23)) = (op2 (e20) (e23)))); [ zenon_intro zenon_H158 | zenon_intro zenon_H159 ]. % 23.54/23.71 cut (((op2 (e20) (e23)) = (op2 (e20) (e23))) = ((e20) = (op2 (e20) (e23)))). % 23.54/23.71 intro zenon_D_pnotp. % 23.54/23.71 apply zenon_H157. % 23.54/23.71 rewrite <- zenon_D_pnotp. % 23.54/23.71 exact zenon_H158. % 23.54/23.71 cut (((op2 (e20) (e23)) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H159]. % 23.54/23.71 cut (((op2 (e20) (e23)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H15a]. % 23.54/23.71 congruence. % 23.54/23.71 exact (zenon_H15a zenon_H155). % 23.54/23.71 apply zenon_H159. apply refl_equal. % 23.54/23.71 apply zenon_H159. apply refl_equal. % 23.54/23.71 apply zenon_H156. apply refl_equal. % 23.54/23.71 (* end of lemma zenon_L97_ *) % 23.54/23.71 assert (zenon_L98_ : ((~((op2 (e20) (e20)) = (e23)))\/((op2 (e20) (e23)) = (e20))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e20)) = (e20))) -> (~((op2 (e20) (e20)) = (e21))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (op2 (e23) (e23)) (e23))) -> ((e20) = (op2 (e23) (e23))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e20)) = (e22))\/((op2 (e20) (e20)) = (e23))))) -> False). % 23.54/23.71 do 0 intro. intros zenon_H15b zenon_H154 zenon_H15c zenon_H15d zenon_H14d zenon_H14e zenon_H14 zenon_H15e. % 23.54/23.71 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H15f | zenon_intro zenon_H155 ]. % 23.54/23.71 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_H1a | zenon_intro zenon_H160 ]. % 23.54/23.71 exact (zenon_H15c zenon_H1a). % 23.54/23.71 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H162 | zenon_intro zenon_H161 ]. % 23.54/23.71 exact (zenon_H15d zenon_H162). % 23.54/23.71 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H14f | zenon_intro zenon_H163 ]. % 23.54/23.71 apply (zenon_L96_); trivial. % 23.54/23.71 exact (zenon_H15f zenon_H163). % 23.54/23.71 apply (zenon_L97_); trivial. % 23.54/23.71 (* end of lemma zenon_L98_ *) % 23.54/23.71 assert (zenon_L99_ : (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((op2 (e20) (e20)) = (e20)) -> ((op2 (e21) (e20)) = (e20)) -> False). % 23.54/23.71 do 0 intro. intros zenon_H164 zenon_H1a zenon_H165. % 23.54/23.71 cut (((op2 (e20) (e20)) = (e20)) = ((op2 (e20) (e20)) = (op2 (e21) (e20)))). % 23.54/23.71 intro zenon_D_pnotp. % 23.54/23.71 apply zenon_H164. % 23.54/23.71 rewrite <- zenon_D_pnotp. % 23.54/23.71 exact zenon_H1a. % 23.54/23.71 cut (((e20) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H166]. % 23.54/23.71 cut (((op2 (e20) (e20)) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H152]. % 23.54/23.71 congruence. % 23.54/23.71 apply zenon_H152. apply refl_equal. % 23.54/23.71 apply zenon_H166. apply sym_equal. exact zenon_H165. % 23.54/23.71 (* end of lemma zenon_L99_ *) % 23.54/23.71 assert (zenon_L100_ : (~((e21) = (e21))) -> False). % 23.54/23.71 do 0 intro. intros zenon_H167. % 23.54/23.71 apply zenon_H167. apply refl_equal. % 23.54/23.71 (* end of lemma zenon_L100_ *) % 23.54/23.71 assert (zenon_L101_ : ((op2 (e21) (e20)) = (e21)) -> ((op2 (e21) (e20)) = (e22)) -> (~((e21) = (e22))) -> False). % 23.54/23.71 do 0 intro. intros zenon_H168 zenon_H169 zenon_H16a. % 23.54/23.71 elim (classic ((e22) = (e22))); [ zenon_intro zenon_H16b | zenon_intro zenon_H16c ]. % 23.54/23.71 cut (((e22) = (e22)) = ((e21) = (e22))). % 23.54/23.71 intro zenon_D_pnotp. % 23.54/23.71 apply zenon_H16a. % 23.54/23.71 rewrite <- zenon_D_pnotp. % 23.54/23.71 exact zenon_H16b. % 23.54/23.71 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H16c]. % 23.54/23.71 cut (((e22) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H16d]. % 23.54/23.71 congruence. % 23.54/23.71 cut (((op2 (e21) (e20)) = (e21)) = ((e22) = (e21))). % 23.54/23.71 intro zenon_D_pnotp. % 23.54/23.71 apply zenon_H16d. % 23.54/23.71 rewrite <- zenon_D_pnotp. % 23.54/23.71 exact zenon_H168. % 23.54/23.71 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H167]. % 23.54/23.71 cut (((op2 (e21) (e20)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H16e]. % 23.54/23.71 congruence. % 23.54/23.71 exact (zenon_H16e zenon_H169). % 23.54/23.71 apply zenon_H167. apply refl_equal. % 23.54/23.71 apply zenon_H16c. apply refl_equal. % 23.54/23.71 apply zenon_H16c. apply refl_equal. % 23.54/23.71 (* end of lemma zenon_L101_ *) % 23.54/23.71 assert (zenon_L102_ : ((op2 (e22) (e22)) = (e22)) -> ((op2 (e21) (e22)) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> False). % 23.54/23.71 do 0 intro. intros zenon_H16f zenon_H170 zenon_H171. % 23.54/23.71 elim (classic ((op2 (e22) (e22)) = (op2 (e22) (e22)))); [ zenon_intro zenon_H172 | zenon_intro zenon_H173 ]. % 23.54/23.71 cut (((op2 (e22) (e22)) = (op2 (e22) (e22))) = ((op2 (e21) (e22)) = (op2 (e22) (e22)))). % 23.54/23.71 intro zenon_D_pnotp. % 23.54/23.71 apply zenon_H171. % 23.54/23.71 rewrite <- zenon_D_pnotp. % 23.54/23.71 exact zenon_H172. % 23.54/23.71 cut (((op2 (e22) (e22)) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H173]. % 23.54/23.71 cut (((op2 (e22) (e22)) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H174]. % 23.54/23.71 congruence. % 23.54/23.71 cut (((op2 (e22) (e22)) = (e22)) = ((op2 (e22) (e22)) = (op2 (e21) (e22)))). % 23.54/23.71 intro zenon_D_pnotp. % 23.54/23.71 apply zenon_H174. % 23.54/23.71 rewrite <- zenon_D_pnotp. % 23.54/23.71 exact zenon_H16f. % 23.54/23.71 cut (((e22) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H175]. % 23.54/23.71 cut (((op2 (e22) (e22)) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H173]. % 23.54/23.71 congruence. % 23.54/23.71 apply zenon_H173. apply refl_equal. % 23.54/23.71 apply zenon_H175. apply sym_equal. exact zenon_H170. % 23.54/23.71 apply zenon_H173. apply refl_equal. % 23.54/23.71 apply zenon_H173. apply refl_equal. % 23.54/23.71 (* end of lemma zenon_L102_ *) % 23.54/23.71 assert (zenon_L103_ : ((e22) = (op2 (op2 (e23) (e23)) (e23))) -> ((op2 (e21) (e23)) = (e22)) -> ((e20) = (op2 (e23) (e23))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> False). % 23.54/23.71 do 0 intro. intros zenon_H14e zenon_H176 zenon_H14 zenon_H177. % 23.54/23.71 elim (classic ((op2 (e21) (e23)) = (op2 (e21) (e23)))); [ zenon_intro zenon_H178 | zenon_intro zenon_H179 ]. % 23.54/23.71 cut (((op2 (e21) (e23)) = (op2 (e21) (e23))) = ((op2 (e20) (e23)) = (op2 (e21) (e23)))). % 23.54/23.71 intro zenon_D_pnotp. % 23.54/23.71 apply zenon_H177. % 23.54/23.71 rewrite <- zenon_D_pnotp. % 23.54/23.71 exact zenon_H178. % 23.54/23.71 cut (((op2 (e21) (e23)) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H179]. % 23.54/23.71 cut (((op2 (e21) (e23)) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H17a]. % 23.54/23.71 congruence. % 23.54/23.71 cut (((e22) = (op2 (op2 (e23) (e23)) (e23))) = ((op2 (e21) (e23)) = (op2 (e20) (e23)))). % 23.54/23.71 intro zenon_D_pnotp. % 23.54/23.71 apply zenon_H17a. % 23.54/23.71 rewrite <- zenon_D_pnotp. % 23.54/23.71 exact zenon_H14e. % 23.54/23.71 cut (((op2 (op2 (e23) (e23)) (e23)) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H14c]. % 23.54/23.71 cut (((e22) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H17b]. % 23.54/23.71 congruence. % 23.54/23.71 elim (classic ((op2 (e21) (e23)) = (op2 (e21) (e23)))); [ zenon_intro zenon_H178 | zenon_intro zenon_H179 ]. % 23.54/23.71 cut (((op2 (e21) (e23)) = (op2 (e21) (e23))) = ((e22) = (op2 (e21) (e23)))). % 23.54/23.71 intro zenon_D_pnotp. % 23.54/23.71 apply zenon_H17b. % 23.54/23.71 rewrite <- zenon_D_pnotp. % 23.54/23.71 exact zenon_H178. % 23.54/23.71 cut (((op2 (e21) (e23)) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H179]. % 23.54/23.71 cut (((op2 (e21) (e23)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H17c]. % 23.54/23.71 congruence. % 23.54/23.71 exact (zenon_H17c zenon_H176). % 23.54/23.71 apply zenon_H179. apply refl_equal. % 23.54/23.71 apply zenon_H179. apply refl_equal. % 23.54/23.71 apply (zenon_L95_); trivial. % 23.54/23.71 apply zenon_H179. apply refl_equal. % 23.54/23.71 apply zenon_H179. apply refl_equal. % 23.54/23.71 (* end of lemma zenon_L103_ *) % 23.54/23.71 assert (zenon_L104_ : (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((e21) = (e22))) -> ((op2 (e21) (e20)) = (e21)) -> (~((op2 (e21) (e21)) = (e22))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e22) (e22)) = (e22)) -> ((e22) = (op2 (op2 (e23) (e23)) (e23))) -> ((e20) = (op2 (e23) (e23))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> False). % 23.54/23.71 do 0 intro. intros zenon_H17d zenon_H16a zenon_H168 zenon_H17e zenon_H171 zenon_H16f zenon_H14e zenon_H14 zenon_H177. % 23.54/23.71 apply (zenon_or_s _ _ zenon_H17d); [ zenon_intro zenon_H169 | zenon_intro zenon_H17f ]. % 23.54/23.71 apply (zenon_L101_); trivial. % 23.54/23.71 apply (zenon_or_s _ _ zenon_H17f); [ zenon_intro zenon_H181 | zenon_intro zenon_H180 ]. % 23.54/23.71 exact (zenon_H17e zenon_H181). % 23.54/23.71 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H170 | zenon_intro zenon_H176 ]. % 23.54/23.71 apply (zenon_L102_); trivial. % 23.54/23.71 apply (zenon_L103_); trivial. % 23.54/23.71 (* end of lemma zenon_L104_ *) % 23.54/23.71 assert (zenon_L105_ : (~((e20) = (e21))) -> ((op2 (e21) (e22)) = (e21)) -> ((op2 (e21) (e22)) = (e20)) -> False). % 23.54/23.71 do 0 intro. intros zenon_H182 zenon_H183 zenon_H184. % 23.54/23.71 cut (((op2 (e21) (e22)) = (e21)) = ((e20) = (e21))). % 23.54/23.71 intro zenon_D_pnotp. % 23.54/23.71 apply zenon_H182. % 23.54/23.71 rewrite <- zenon_D_pnotp. % 23.54/23.71 exact zenon_H183. % 23.54/23.71 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H167]. % 23.54/23.71 cut (((op2 (e21) (e22)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H185]. % 23.54/23.71 congruence. % 23.54/23.71 exact (zenon_H185 zenon_H184). % 23.54/23.71 apply zenon_H167. apply refl_equal. % 23.54/23.71 (* end of lemma zenon_L105_ *) % 23.54/23.71 assert (zenon_L106_ : (~((op2 (op2 (op2 (e23) (e23)) (e23)) (e23)) = (op2 (e22) (e23)))) -> ((e22) = (op2 (op2 (e23) (e23)) (e23))) -> False). % 23.54/23.71 do 0 intro. intros zenon_H186 zenon_H14e. % 23.54/23.71 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H14b]. % 23.54/23.71 cut (((op2 (op2 (e23) (e23)) (e23)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H187]. % 23.54/23.71 congruence. % 23.54/23.71 apply zenon_H187. apply sym_equal. exact zenon_H14e. % 23.54/23.71 apply zenon_H14b. apply refl_equal. % 23.54/23.71 (* end of lemma zenon_L106_ *) % 23.54/23.71 assert (zenon_L107_ : (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((e21) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> ((op2 (e21) (e23)) = (e21)) -> ((e22) = (op2 (op2 (e23) (e23)) (e23))) -> False). % 23.54/23.71 do 0 intro. intros zenon_H188 zenon_H189 zenon_H18a zenon_H14e. % 23.54/23.71 cut (((e21) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) = ((op2 (e21) (e23)) = (op2 (e22) (e23)))). % 23.54/23.71 intro zenon_D_pnotp. % 23.54/23.71 apply zenon_H188. % 23.54/23.71 rewrite <- zenon_D_pnotp. % 23.54/23.71 exact zenon_H189. % 23.54/23.71 cut (((op2 (op2 (op2 (e23) (e23)) (e23)) (e23)) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H186]. % 23.54/23.71 cut (((e21) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H18b]. % 23.54/23.71 congruence. % 23.54/23.71 elim (classic ((op2 (e21) (e23)) = (op2 (e21) (e23)))); [ zenon_intro zenon_H178 | zenon_intro zenon_H179 ]. % 23.54/23.71 cut (((op2 (e21) (e23)) = (op2 (e21) (e23))) = ((e21) = (op2 (e21) (e23)))). % 23.54/23.71 intro zenon_D_pnotp. % 23.54/23.71 apply zenon_H18b. % 23.54/23.71 rewrite <- zenon_D_pnotp. % 23.54/23.71 exact zenon_H178. % 23.54/23.71 cut (((op2 (e21) (e23)) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H179]. % 23.54/23.71 cut (((op2 (e21) (e23)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H18c]. % 23.54/23.71 congruence. % 23.54/23.71 exact (zenon_H18c zenon_H18a). % 23.54/23.71 apply zenon_H179. apply refl_equal. % 23.54/23.71 apply zenon_H179. apply refl_equal. % 23.54/23.71 apply (zenon_L106_); trivial. % 23.54/23.71 (* end of lemma zenon_L107_ *) % 23.54/23.71 assert (zenon_L108_ : (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e20) = (op2 (e23) (e23))) -> ((op2 (e21) (e23)) = (e20)) -> False). % 23.54/23.71 do 0 intro. intros zenon_H18d zenon_H14 zenon_H18e. % 23.54/23.71 cut (((e20) = (op2 (e23) (e23))) = ((op2 (e21) (e23)) = (op2 (e23) (e23)))). % 23.54/23.71 intro zenon_D_pnotp. % 23.54/23.71 apply zenon_H18d. % 23.54/23.71 rewrite <- zenon_D_pnotp. % 23.54/23.71 exact zenon_H14. % 23.54/23.71 cut (((op2 (e23) (e23)) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H156]. % 23.54/23.71 cut (((e20) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H18f]. % 23.54/23.71 congruence. % 23.54/23.71 elim (classic ((op2 (e21) (e23)) = (op2 (e21) (e23)))); [ zenon_intro zenon_H178 | zenon_intro zenon_H179 ]. % 23.54/23.71 cut (((op2 (e21) (e23)) = (op2 (e21) (e23))) = ((e20) = (op2 (e21) (e23)))). % 23.54/23.71 intro zenon_D_pnotp. % 23.54/23.71 apply zenon_H18f. % 23.54/23.71 rewrite <- zenon_D_pnotp. % 23.54/23.71 exact zenon_H178. % 23.54/23.71 cut (((op2 (e21) (e23)) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H179]. % 23.54/23.71 cut (((op2 (e21) (e23)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H190]. % 23.54/23.71 congruence. % 23.54/23.71 exact (zenon_H190 zenon_H18e). % 23.54/23.71 apply zenon_H179. apply refl_equal. % 23.54/23.71 apply zenon_H179. apply refl_equal. % 23.54/23.71 apply zenon_H156. apply refl_equal. % 23.54/23.71 (* end of lemma zenon_L108_ *) % 23.54/23.71 assert (zenon_L109_ : (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> ((op2 (e20) (e20)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e21) (e21)) = (e20))) -> ((e22) = (op2 (op2 (e23) (e23)) (e23))) -> ((e21) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((e20) = (e21))) -> (~((op2 (e21) (e21)) = (e21))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((e21) = (e22))) -> (~((op2 (e21) (e21)) = (e22))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e22) (e22)) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e20) = (op2 (e23) (e23))) -> False). % 23.54/23.71 do 0 intro. intros zenon_H191 zenon_H1a zenon_H164 zenon_H192 zenon_H14e zenon_H189 zenon_H188 zenon_H182 zenon_H193 zenon_H17d zenon_H16a zenon_H17e zenon_H171 zenon_H16f zenon_H177 zenon_H194 zenon_H18d zenon_H14. % 23.54/23.71 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_H165 | zenon_intro zenon_H195 ]. % 23.54/23.71 apply (zenon_L99_); trivial. % 23.54/23.71 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H197 | zenon_intro zenon_H196 ]. % 23.54/23.71 exact (zenon_H192 zenon_H197). % 23.54/23.71 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_H184 | zenon_intro zenon_H18e ]. % 23.54/23.71 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H168 | zenon_intro zenon_H198 ]. % 23.54/23.71 apply (zenon_L104_); trivial. % 23.54/23.71 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H19a | zenon_intro zenon_H199 ]. % 23.54/23.71 exact (zenon_H193 zenon_H19a). % 23.54/23.71 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H183 | zenon_intro zenon_H18a ]. % 23.54/23.71 apply (zenon_L105_); trivial. % 23.54/23.71 apply (zenon_L107_); trivial. % 23.54/23.71 apply (zenon_L108_); trivial. % 23.54/23.71 (* end of lemma zenon_L109_ *) % 23.54/23.71 assert (zenon_L110_ : (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> ((op2 (e20) (e20)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e21) (e21)) = (e20))) -> ((op2 (e21) (e22)) = (e21)) -> (~((e20) = (e21))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e20) = (op2 (e23) (e23))) -> False). % 23.54/23.71 do 0 intro. intros zenon_H191 zenon_H1a zenon_H164 zenon_H192 zenon_H183 zenon_H182 zenon_H18d zenon_H14. % 23.54/23.71 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_H165 | zenon_intro zenon_H195 ]. % 23.54/23.71 apply (zenon_L99_); trivial. % 23.54/23.71 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H197 | zenon_intro zenon_H196 ]. % 23.54/23.71 exact (zenon_H192 zenon_H197). % 23.54/23.71 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_H184 | zenon_intro zenon_H18e ]. % 23.54/23.71 apply (zenon_L105_); trivial. % 23.54/23.71 apply (zenon_L108_); trivial. % 23.54/23.71 (* end of lemma zenon_L110_ *) % 23.54/23.71 assert (zenon_L111_ : (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((op2 (e21) (e20)) = (e21)) -> ((op2 (e21) (e22)) = (e21)) -> False). % 23.54/23.71 do 0 intro. intros zenon_H19b zenon_H168 zenon_H183. % 23.54/23.71 cut (((op2 (e21) (e20)) = (e21)) = ((op2 (e21) (e20)) = (op2 (e21) (e22)))). % 23.54/23.71 intro zenon_D_pnotp. % 23.54/23.71 apply zenon_H19b. % 23.54/23.71 rewrite <- zenon_D_pnotp. % 23.54/23.71 exact zenon_H168. % 23.54/23.71 cut (((e21) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H19c]. % 23.54/23.71 cut (((op2 (e21) (e20)) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H19d]. % 23.54/23.71 congruence. % 23.54/23.71 apply zenon_H19d. apply refl_equal. % 23.54/23.71 apply zenon_H19c. apply sym_equal. exact zenon_H183. % 23.54/23.71 (* end of lemma zenon_L111_ *) % 23.54/23.71 assert (zenon_L112_ : ((~((op2 (e21) (e21)) = (e22)))\/((op2 (e21) (e22)) = (e21))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((e21) = (e22))) -> ((op2 (e21) (e20)) = (e21)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e22) (e22)) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((e22) = (op2 (op2 (e23) (e23)) (e23))) -> ((e20) = (op2 (e23) (e23))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> False). % 23.54/23.71 do 0 intro. intros zenon_H19e zenon_H19b zenon_H16a zenon_H168 zenon_H171 zenon_H16f zenon_H177 zenon_H14e zenon_H14 zenon_H17d. % 23.54/23.71 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H17e | zenon_intro zenon_H183 ]. % 23.54/23.71 apply (zenon_L104_); trivial. % 23.54/23.71 apply (zenon_L111_); trivial. % 23.54/23.71 (* end of lemma zenon_L112_ *) % 23.54/23.71 assert (zenon_L113_ : ((~((op2 (e21) (e21)) = (e20)))\/((op2 (e21) (e20)) = (e21))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> ((e20) = (op2 (e23) (e23))) -> ((e22) = (op2 (op2 (e23) (e23)) (e23))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e22) (e22)) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((e21) = (e22))) -> (~((op2 (e21) (e21)) = (e21))) -> (~((e20) = (e21))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((e21) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> ((op2 (e20) (e20)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((~((op2 (e21) (e21)) = (e22)))\/((op2 (e21) (e22)) = (e21))) -> False). % 23.54/23.71 do 0 intro. intros zenon_H19f zenon_H19b zenon_H191 zenon_H18d zenon_H17d zenon_H14 zenon_H14e zenon_H177 zenon_H16f zenon_H171 zenon_H16a zenon_H193 zenon_H182 zenon_H188 zenon_H189 zenon_H194 zenon_H1a zenon_H164 zenon_H19e. % 23.54/23.71 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_H192 | zenon_intro zenon_H168 ]. % 23.54/23.71 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H17e | zenon_intro zenon_H183 ]. % 23.54/23.71 apply (zenon_L109_); trivial. % 23.54/23.71 apply (zenon_L110_); trivial. % 23.54/23.71 apply (zenon_L112_); trivial. % 23.54/23.71 (* end of lemma zenon_L113_ *) % 23.54/23.71 assert (zenon_L114_ : ((~((op2 (e20) (e20)) = (e20)))\/((op2 (e20) (e20)) = (e20))) -> ((~((op2 (e21) (e21)) = (e22)))\/((op2 (e21) (e22)) = (e21))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> ((e21) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((e20) = (e21))) -> (~((op2 (e21) (e21)) = (e21))) -> (~((e21) = (e22))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e22) (e22)) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((~((op2 (e21) (e21)) = (e20)))\/((op2 (e21) (e20)) = (e21))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e20)) = (e22))\/((op2 (e20) (e20)) = (e23))))) -> ((e20) = (op2 (e23) (e23))) -> ((e22) = (op2 (op2 (e23) (e23)) (e23))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (e21))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((~((op2 (e20) (e20)) = (e23)))\/((op2 (e20) (e23)) = (e20))) -> False). % 23.54/23.71 do 0 intro. intros zenon_H1a0 zenon_H19e zenon_H164 zenon_H194 zenon_H189 zenon_H188 zenon_H182 zenon_H193 zenon_H16a zenon_H171 zenon_H16f zenon_H177 zenon_H17d zenon_H18d zenon_H191 zenon_H19b zenon_H19f zenon_H15e zenon_H14 zenon_H14e zenon_H14d zenon_H15d zenon_H154 zenon_H15b. % 23.54/23.71 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H15c | zenon_intro zenon_H1a ]. % 23.54/23.71 apply (zenon_L98_); trivial. % 23.54/23.71 apply (zenon_L113_); trivial. % 23.54/23.71 (* end of lemma zenon_L114_ *) % 23.54/23.71 assert (zenon_L115_ : (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (op2 (e23) (e23)) (e23))) -> ((op2 (e20) (e23)) = (e22)) -> ((op2 (e23) (e23)) = (e23)) -> False). % 23.54/23.71 do 0 intro. intros zenon_H154 zenon_H14e zenon_H1a1 zenon_H1a2. % 23.54/23.71 cut (((e22) = (op2 (op2 (e23) (e23)) (e23))) = ((op2 (e20) (e23)) = (op2 (e23) (e23)))). % 23.54/23.71 intro zenon_D_pnotp. % 23.54/23.71 apply zenon_H154. % 23.54/23.71 rewrite <- zenon_D_pnotp. % 23.54/23.71 exact zenon_H14e. % 23.54/23.71 cut (((op2 (op2 (e23) (e23)) (e23)) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H1a3]. % 23.54/23.71 cut (((e22) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H1a4]. % 23.54/23.71 congruence. % 23.54/23.71 elim (classic ((op2 (e20) (e23)) = (op2 (e20) (e23)))); [ zenon_intro zenon_H158 | zenon_intro zenon_H159 ]. % 23.54/23.71 cut (((op2 (e20) (e23)) = (op2 (e20) (e23))) = ((e22) = (op2 (e20) (e23)))). % 23.54/23.71 intro zenon_D_pnotp. % 23.54/23.71 apply zenon_H1a4. % 23.54/23.71 rewrite <- zenon_D_pnotp. % 23.54/23.71 exact zenon_H158. % 23.54/23.71 cut (((op2 (e20) (e23)) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H159]. % 23.54/23.71 cut (((op2 (e20) (e23)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H1a5]. % 23.54/23.71 congruence. % 23.54/23.71 exact (zenon_H1a5 zenon_H1a1). % 23.54/23.71 apply zenon_H159. apply refl_equal. % 23.54/23.71 apply zenon_H159. apply refl_equal. % 23.54/23.71 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H14b]. % 23.54/23.71 cut (((op2 (e23) (e23)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H1a6]. % 23.54/23.71 congruence. % 23.54/23.71 exact (zenon_H1a6 zenon_H1a2). % 23.54/23.71 apply zenon_H14b. apply refl_equal. % 23.54/23.71 (* end of lemma zenon_L115_ *) % 23.54/23.71 assert (zenon_L116_ : ((e22) = (op2 (op2 (e23) (e23)) (e23))) -> ((op2 (e22) (e23)) = (e22)) -> ((e20) = (op2 (e23) (e23))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> False). % 23.54/23.71 do 0 intro. intros zenon_H14e zenon_H1a7 zenon_H14 zenon_H1a8. % 23.54/23.71 elim (classic ((op2 (e22) (e23)) = (op2 (e22) (e23)))); [ zenon_intro zenon_H1a9 | zenon_intro zenon_H1aa ]. % 23.54/23.71 cut (((op2 (e22) (e23)) = (op2 (e22) (e23))) = ((op2 (e20) (e23)) = (op2 (e22) (e23)))). % 23.54/23.71 intro zenon_D_pnotp. % 23.54/23.71 apply zenon_H1a8. % 23.54/23.71 rewrite <- zenon_D_pnotp. % 23.54/23.71 exact zenon_H1a9. % 23.54/23.71 cut (((op2 (e22) (e23)) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H1aa]. % 23.54/23.71 cut (((op2 (e22) (e23)) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H1ab]. % 23.54/23.71 congruence. % 23.54/23.71 cut (((e22) = (op2 (op2 (e23) (e23)) (e23))) = ((op2 (e22) (e23)) = (op2 (e20) (e23)))). % 23.54/23.71 intro zenon_D_pnotp. % 23.54/23.71 apply zenon_H1ab. % 23.54/23.71 rewrite <- zenon_D_pnotp. % 23.54/23.71 exact zenon_H14e. % 23.54/23.71 cut (((op2 (op2 (e23) (e23)) (e23)) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H14c]. % 23.54/23.71 cut (((e22) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H1ac]. % 23.54/23.71 congruence. % 23.54/23.71 elim (classic ((op2 (e22) (e23)) = (op2 (e22) (e23)))); [ zenon_intro zenon_H1a9 | zenon_intro zenon_H1aa ]. % 23.54/23.71 cut (((op2 (e22) (e23)) = (op2 (e22) (e23))) = ((e22) = (op2 (e22) (e23)))). % 23.54/23.71 intro zenon_D_pnotp. % 23.54/23.71 apply zenon_H1ac. % 23.54/23.71 rewrite <- zenon_D_pnotp. % 23.54/23.71 exact zenon_H1a9. % 23.54/23.71 cut (((op2 (e22) (e23)) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H1aa]. % 23.54/23.71 cut (((op2 (e22) (e23)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H1ad]. % 23.54/23.71 congruence. % 23.54/23.71 exact (zenon_H1ad zenon_H1a7). % 23.54/23.71 apply zenon_H1aa. apply refl_equal. % 23.54/23.71 apply zenon_H1aa. apply refl_equal. % 23.54/23.71 apply (zenon_L95_); trivial. % 23.54/23.71 apply zenon_H1aa. apply refl_equal. % 23.54/23.71 apply zenon_H1aa. apply refl_equal. % 23.54/23.71 (* end of lemma zenon_L116_ *) % 23.54/23.71 assert (zenon_L117_ : ((e22) = (op2 (op2 (e23) (e23)) (e23))) -> ((op2 (e23) (e23)) = (e22)) -> ((e20) = (op2 (e23) (e23))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> False). % 23.54/23.71 do 0 intro. intros zenon_H14e zenon_H1ae zenon_H14 zenon_H154. % 23.54/23.71 elim (classic ((op2 (e23) (e23)) = (op2 (e23) (e23)))); [ zenon_intro zenon_H1af | zenon_intro zenon_H156 ]. % 23.54/23.71 cut (((op2 (e23) (e23)) = (op2 (e23) (e23))) = ((op2 (e20) (e23)) = (op2 (e23) (e23)))). % 23.54/23.71 intro zenon_D_pnotp. % 23.54/23.71 apply zenon_H154. % 23.54/23.71 rewrite <- zenon_D_pnotp. % 23.54/23.71 exact zenon_H1af. % 23.54/23.71 cut (((op2 (e23) (e23)) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H156]. % 23.54/23.71 cut (((op2 (e23) (e23)) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H1b0]. % 23.54/23.71 congruence. % 23.54/23.71 cut (((e22) = (op2 (op2 (e23) (e23)) (e23))) = ((op2 (e23) (e23)) = (op2 (e20) (e23)))). % 23.54/23.71 intro zenon_D_pnotp. % 23.54/23.71 apply zenon_H1b0. % 23.54/23.71 rewrite <- zenon_D_pnotp. % 23.54/23.71 exact zenon_H14e. % 23.54/23.71 cut (((op2 (op2 (e23) (e23)) (e23)) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H14c]. % 23.54/23.71 cut (((e22) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H1b1]. % 23.54/23.71 congruence. % 23.54/23.71 elim (classic ((op2 (e23) (e23)) = (op2 (e23) (e23)))); [ zenon_intro zenon_H1af | zenon_intro zenon_H156 ]. % 23.54/23.71 cut (((op2 (e23) (e23)) = (op2 (e23) (e23))) = ((e22) = (op2 (e23) (e23)))). % 23.54/23.71 intro zenon_D_pnotp. % 23.54/23.71 apply zenon_H1b1. % 23.54/23.71 rewrite <- zenon_D_pnotp. % 23.54/23.71 exact zenon_H1af. % 23.54/23.71 cut (((op2 (e23) (e23)) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H156]. % 23.54/23.71 cut (((op2 (e23) (e23)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H1b2]. % 23.54/23.71 congruence. % 23.54/23.71 exact (zenon_H1b2 zenon_H1ae). % 23.54/23.71 apply zenon_H156. apply refl_equal. % 23.54/23.71 apply zenon_H156. apply refl_equal. % 23.54/23.71 apply (zenon_L95_); trivial. % 23.54/23.71 apply zenon_H156. apply refl_equal. % 23.54/23.71 apply zenon_H156. apply refl_equal. % 23.54/23.71 (* end of lemma zenon_L117_ *) % 23.54/23.71 assert (zenon_L118_ : (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> ((op2 (e23) (e23)) = (e23)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((e22) = (op2 (op2 (e23) (e23)) (e23))) -> ((e20) = (op2 (e23) (e23))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> False). % 23.54/23.71 do 0 intro. intros zenon_H1b3 zenon_H1a2 zenon_H177 zenon_H1a8 zenon_H14e zenon_H14 zenon_H154. % 23.54/23.71 apply (zenon_or_s _ _ zenon_H1b3); [ zenon_intro zenon_H1a1 | zenon_intro zenon_H1b4 ]. % 23.54/23.71 apply (zenon_L115_); trivial. % 23.54/23.71 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H176 | zenon_intro zenon_H1b5 ]. % 23.54/23.71 apply (zenon_L103_); trivial. % 23.54/23.71 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H1ae ]. % 23.54/23.71 apply (zenon_L116_); trivial. % 23.54/23.71 apply (zenon_L117_); trivial. % 23.54/23.71 (* end of lemma zenon_L118_ *) % 23.54/23.71 assert (zenon_L119_ : (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> ((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((e10) = (e11))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> ((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((e11) = (op1 (op1 (op1 (e13) (e13)) (e13)) (e13))) -> ((e12) = (op1 (op1 (e13) (e13)) (e13))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (e13) (e13))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((e11) = (e12))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10))) -> ((h4 (e10)) = (op2 (e23) (e23))) -> (~((h4 (op1 (e10) (e10))) = (op2 (h4 (e10)) (h4 (e10))))) -> ((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))) -> ((((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e11) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e11) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e11) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e12) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e12) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e12) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e13) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e13) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e13) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))\/(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))))))))))))))))) -> ((~((op2 (e20) (e20)) = (e23)))\/((op2 (e20) (e23)) = (e20))) -> (~((op2 (e20) (e20)) = (e21))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e20)) = (e22))\/((op2 (e20) (e20)) = (e23))))) -> ((~((op2 (e21) (e21)) = (e20)))\/((op2 (e21) (e20)) = (e21))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((e21) = (e22))) -> (~((op2 (e21) (e21)) = (e21))) -> (~((e20) = (e21))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((e21) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((~((op2 (e21) (e21)) = (e22)))\/((op2 (e21) (e22)) = (e21))) -> ((~((op2 (e20) (e20)) = (e20)))\/((op2 (e20) (e20)) = (e20))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((e22) = (op2 (op2 (e23) (e23)) (e23))) -> ((e20) = (op2 (e23) (e23))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> False). % 23.54/23.71 do 0 intro. intros zenon_H1b6 zenon_Hc8 zenon_Hb4 zenon_H132 zenon_H94 zenon_H62 zenon_H80 zenon_H8b zenon_H8f zenon_H120 zenon_H12c zenon_Hbc zenon_H87 zenon_H4d zenon_Hc0 zenon_Hfe zenon_H12f zenon_Hc9 zenon_H28 zenon_Hf3 zenon_Hce zenon_H9a zenon_H9d zenon_H121 zenon_H101 zenon_H107 zenon_Ha6 zenon_H11d zenon_Hf9 zenon_H68 zenon_H11a zenon_H112 zenon_H10f zenon_Hcf zenon_Hb8 zenon_Heb zenon_He7 zenon_H75 zenon_H86 zenon_Hdb zenon_Hd1 zenon_Hb1 zenon_H5a zenon_H53 zenon_H4c zenon_H5c zenon_H7b zenon_H6f zenon_H95 zenon_H9e zenon_H3b zenon_H3d zenon_H27 zenon_H135 zenon_H15b zenon_H15d zenon_H14d zenon_H15e zenon_H19f zenon_H19b zenon_H191 zenon_H18d zenon_H17d zenon_H171 zenon_H16a zenon_H193 zenon_H182 zenon_H188 zenon_H189 zenon_H194 zenon_H164 zenon_H19e zenon_H1a0 zenon_H1b3 zenon_H177 zenon_H1a8 zenon_H14e zenon_H14 zenon_H154. % 23.54/23.71 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H1a | zenon_intro zenon_H1b7 ]. % 23.54/23.71 apply (zenon_L93_); trivial. % 23.54/23.71 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H19a | zenon_intro zenon_H1b8 ]. % 23.54/23.71 exact (zenon_H193 zenon_H19a). % 23.54/23.71 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H16f | zenon_intro zenon_H1a2 ]. % 23.54/23.71 apply (zenon_L114_); trivial. % 23.54/23.71 apply (zenon_L118_); trivial. % 23.54/23.71 (* end of lemma zenon_L119_ *) % 23.54/23.71 assert (zenon_L120_ : ((~((op2 (e20) (e20)) = (e20)))\/((op2 (e20) (e20)) = (e20))) -> ((~((op2 (e21) (e21)) = (e22)))\/((op2 (e21) (e22)) = (e21))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> ((e21) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((e20) = (e21))) -> (~((op2 (e21) (e21)) = (e21))) -> (~((e21) = (e22))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> ((op2 (e22) (e22)) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((~((op2 (e21) (e21)) = (e20)))\/((op2 (e21) (e20)) = (e21))) -> ((~((op2 (e20) (e20)) = (e23)))\/((op2 (e20) (e23)) = (e20))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (op2 (e23) (e23)) (e23))) -> ((e20) = (op2 (e23) (e23))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e20)) = (e22))\/((op2 (e20) (e20)) = (e23))))) -> (~((op2 (e20) (e21)) = (e20))) -> ((~((op2 (e20) (e20)) = (e21)))\/((op2 (e20) (e21)) = (e20))) -> False). % 23.54/23.71 do 0 intro. intros zenon_H1a0 zenon_H19e zenon_H164 zenon_H194 zenon_H189 zenon_H188 zenon_H182 zenon_H193 zenon_H16a zenon_H171 zenon_H16f zenon_H177 zenon_H17d zenon_H18d zenon_H191 zenon_H19b zenon_H19f zenon_H15b zenon_H154 zenon_H14d zenon_H14e zenon_H14 zenon_H15e zenon_H1b9 zenon_H1ba. % 23.54/23.71 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H15c | zenon_intro zenon_H1a ]. % 23.54/23.71 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H15d | zenon_intro zenon_H1bb ]. % 23.54/23.71 apply (zenon_L98_); trivial. % 23.54/23.71 exact (zenon_H1b9 zenon_H1bb). % 23.54/23.71 apply (zenon_L113_); trivial. % 23.54/23.71 (* end of lemma zenon_L120_ *) % 23.54/23.71 assert (zenon_L121_ : (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> ((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((e10) = (e11))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> ((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((e11) = (op1 (op1 (op1 (e13) (e13)) (e13)) (e13))) -> ((e12) = (op1 (op1 (e13) (e13)) (e13))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (e13) (e13))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((e11) = (e12))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10))) -> ((h4 (e10)) = (op2 (e23) (e23))) -> (~((h4 (op1 (e10) (e10))) = (op2 (h4 (e10)) (h4 (e10))))) -> ((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))) -> ((((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e11) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e11) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e11) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e12) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e12) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e12) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e13) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e13) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e13) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))\/(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))))))))))))))))) -> ((~((op2 (e20) (e20)) = (e21)))\/((op2 (e20) (e21)) = (e20))) -> (~((op2 (e20) (e21)) = (e20))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e20)) = (e22))\/((op2 (e20) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((~((op2 (e20) (e20)) = (e23)))\/((op2 (e20) (e23)) = (e20))) -> ((~((op2 (e21) (e21)) = (e20)))\/((op2 (e21) (e20)) = (e21))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((e21) = (e22))) -> (~((op2 (e21) (e21)) = (e21))) -> (~((e20) = (e21))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((e21) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((~((op2 (e21) (e21)) = (e22)))\/((op2 (e21) (e22)) = (e21))) -> ((~((op2 (e20) (e20)) = (e20)))\/((op2 (e20) (e20)) = (e20))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((e22) = (op2 (op2 (e23) (e23)) (e23))) -> ((e20) = (op2 (e23) (e23))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> False). % 23.54/23.72 do 0 intro. intros zenon_H1b6 zenon_Hc8 zenon_Hb4 zenon_H132 zenon_H94 zenon_H62 zenon_H80 zenon_H8b zenon_H8f zenon_H120 zenon_H12c zenon_Hbc zenon_H87 zenon_H4d zenon_Hc0 zenon_Hfe zenon_H12f zenon_Hc9 zenon_H28 zenon_Hf3 zenon_Hce zenon_H9a zenon_H9d zenon_H121 zenon_H101 zenon_H107 zenon_Ha6 zenon_H11d zenon_Hf9 zenon_H68 zenon_H11a zenon_H112 zenon_H10f zenon_Hcf zenon_Hb8 zenon_Heb zenon_He7 zenon_H75 zenon_H86 zenon_Hdb zenon_Hd1 zenon_Hb1 zenon_H5a zenon_H53 zenon_H4c zenon_H5c zenon_H7b zenon_H6f zenon_H95 zenon_H9e zenon_H3b zenon_H3d zenon_H27 zenon_H135 zenon_H1ba zenon_H1b9 zenon_H15e zenon_H14d zenon_H15b zenon_H19f zenon_H19b zenon_H191 zenon_H18d zenon_H17d zenon_H171 zenon_H16a zenon_H193 zenon_H182 zenon_H188 zenon_H189 zenon_H194 zenon_H164 zenon_H19e zenon_H1a0 zenon_H1b3 zenon_H177 zenon_H1a8 zenon_H14e zenon_H14 zenon_H154. % 23.54/23.72 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H1a | zenon_intro zenon_H1b7 ]. % 23.54/23.72 apply (zenon_L93_); trivial. % 23.54/23.72 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H19a | zenon_intro zenon_H1b8 ]. % 23.54/23.72 exact (zenon_H193 zenon_H19a). % 23.54/23.72 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H16f | zenon_intro zenon_H1a2 ]. % 23.54/23.72 apply (zenon_L120_); trivial. % 23.54/23.72 apply (zenon_L118_); trivial. % 23.54/23.72 (* end of lemma zenon_L121_ *) % 23.54/23.72 assert (zenon_L122_ : ((~((op2 (e20) (e20)) = (e21)))\/(~((op2 (e20) (e21)) = (e20)))) -> ((~((op2 (e20) (e20)) = (e21)))\/((op2 (e20) (e21)) = (e20))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> ((~((op2 (e20) (e20)) = (e23)))\/((op2 (e20) (e23)) = (e20))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (op2 (e23) (e23)) (e23))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e20)) = (e22))\/((op2 (e20) (e20)) = (e23))))) -> ((~((op2 (e21) (e21)) = (e20)))\/((op2 (e21) (e20)) = (e21))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((e21) = (e22))) -> (~((e20) = (e21))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((e21) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((~((op2 (e21) (e21)) = (e22)))\/((op2 (e21) (e22)) = (e21))) -> ((~((op2 (e20) (e20)) = (e20)))\/((op2 (e20) (e20)) = (e20))) -> ((e10) = (op1 (e13) (e13))) -> ((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))) -> (~((h4 (op1 (e10) (e10))) = (op2 (h4 (e10)) (h4 (e10))))) -> ((e20) = (op2 (e23) (e23))) -> ((h4 (e10)) = (op2 (e23) (e23))) -> ((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((e11) = (op1 (op1 (op1 (e13) (e13)) (e13)) (e13))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((e10) = (e11))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> ((e12) = (op1 (op1 (e13) (e13)) (e13))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> ((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10))) -> ((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> ((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> ((((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e11) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e11) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e11) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e12) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e12) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e12) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e13) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e13) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e13) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))\/(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))))))))))))))))) -> ((~((op2 (e21) (e21)) = (e21)))\/(~((op2 (e21) (e21)) = (e21)))) -> False). % 23.54/23.72 do 0 intro. intros zenon_H1bc zenon_H1ba zenon_H1b6 zenon_H1a8 zenon_H1b3 zenon_H15b zenon_H154 zenon_H14d zenon_H14e zenon_H15e zenon_H19f zenon_H19b zenon_H191 zenon_H18d zenon_H17d zenon_H177 zenon_H171 zenon_H16a zenon_H182 zenon_H188 zenon_H189 zenon_H194 zenon_H164 zenon_H19e zenon_H1a0 zenon_H28 zenon_H27 zenon_H3d zenon_H14 zenon_H3b zenon_H9e zenon_H94 zenon_H62 zenon_H95 zenon_H87 zenon_H86 zenon_H80 zenon_H68 zenon_H6f zenon_H75 zenon_H7b zenon_H8b zenon_H8f zenon_H9a zenon_H9d zenon_H5c zenon_H4d zenon_H4c zenon_H53 zenon_H5a zenon_Hb1 zenon_Ha6 zenon_Hb4 zenon_Hb8 zenon_Hce zenon_Hcf zenon_Hc9 zenon_Hd1 zenon_Hc0 zenon_Hbc zenon_Hc8 zenon_Hdb zenon_He7 zenon_Heb zenon_H10f zenon_H112 zenon_H11a zenon_Hfe zenon_Hf9 zenon_Hf3 zenon_H11d zenon_H107 zenon_H101 zenon_H120 zenon_H121 zenon_H12f zenon_H12c zenon_H132 zenon_H135 zenon_H1bd. % 23.54/23.72 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H15d | zenon_intro zenon_H1b9 ]. % 23.54/23.72 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H193 | zenon_intro zenon_H193 ]. % 23.54/23.72 apply (zenon_L119_); trivial. % 23.54/23.72 apply (zenon_L119_); trivial. % 23.54/23.72 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H193 | zenon_intro zenon_H193 ]. % 23.54/23.72 apply (zenon_L121_); trivial. % 23.54/23.72 apply (zenon_L121_); trivial. % 23.54/23.72 (* end of lemma zenon_L122_ *) % 23.54/23.72 assert (zenon_L123_ : (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((e21) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> ((op2 (e22) (e22)) = (e21)) -> ((e22) = (op2 (op2 (e23) (e23)) (e23))) -> False). % 23.54/23.72 do 0 intro. intros zenon_H1be zenon_H189 zenon_H1bf zenon_H14e. % 23.54/23.72 cut (((e21) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) = ((op2 (e22) (e22)) = (op2 (e22) (e23)))). % 23.54/23.72 intro zenon_D_pnotp. % 23.54/23.72 apply zenon_H1be. % 23.54/23.72 rewrite <- zenon_D_pnotp. % 23.54/23.72 exact zenon_H189. % 23.54/23.72 cut (((op2 (op2 (op2 (e23) (e23)) (e23)) (e23)) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H186]. % 23.54/23.72 cut (((e21) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H1c0]. % 23.54/23.72 congruence. % 23.54/23.72 elim (classic ((op2 (e22) (e22)) = (op2 (e22) (e22)))); [ zenon_intro zenon_H172 | zenon_intro zenon_H173 ]. % 23.54/23.72 cut (((op2 (e22) (e22)) = (op2 (e22) (e22))) = ((e21) = (op2 (e22) (e22)))). % 23.54/23.72 intro zenon_D_pnotp. % 23.54/23.72 apply zenon_H1c0. % 23.54/23.72 rewrite <- zenon_D_pnotp. % 23.54/23.72 exact zenon_H172. % 23.54/23.72 cut (((op2 (e22) (e22)) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H173]. % 23.54/23.72 cut (((op2 (e22) (e22)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H1c1]. % 23.54/23.72 congruence. % 23.54/23.72 exact (zenon_H1c1 zenon_H1bf). % 23.54/23.72 apply zenon_H173. apply refl_equal. % 23.54/23.72 apply zenon_H173. apply refl_equal. % 23.54/23.72 apply (zenon_L106_); trivial. % 23.54/23.72 (* end of lemma zenon_L123_ *) % 23.54/23.72 assert (zenon_L124_ : (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (e20))) -> ((e22) = (op2 (op2 (e23) (e23)) (e23))) -> ((e21) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e22)) = (e23))) -> False). % 23.54/23.72 do 0 intro. intros zenon_H1c2 zenon_H1c3 zenon_H14e zenon_H189 zenon_H1be zenon_H1c4 zenon_H1c5. % 23.54/23.72 apply (zenon_or_s _ _ zenon_H1c2); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H1c6 ]. % 23.54/23.72 exact (zenon_H1c3 zenon_H1c7). % 23.54/23.72 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H1bf | zenon_intro zenon_H1c8 ]. % 23.54/23.72 apply (zenon_L123_); trivial. % 23.54/23.72 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H16f | zenon_intro zenon_H1c9 ]. % 23.54/23.72 exact (zenon_H1c4 zenon_H16f). % 23.54/23.72 exact (zenon_H1c5 zenon_H1c9). % 23.54/23.72 (* end of lemma zenon_L124_ *) % 23.54/23.72 assert (zenon_L125_ : ((~((op2 (e22) (e22)) = (e23)))\/((op2 (e22) (e23)) = (e22))) -> ((e20) = (op2 (e23) (e23))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (e20))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((e21) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> ((e22) = (op2 (op2 (e23) (e23)) (e23))) -> (~((op2 (e22) (e22)) = (e22))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> False). % 23.54/23.72 do 0 intro. intros zenon_H1ca zenon_H14 zenon_H1a8 zenon_H1c3 zenon_H1be zenon_H189 zenon_H14e zenon_H1c4 zenon_H1c2. % 23.54/23.72 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H1a7 ]. % 23.54/23.72 apply (zenon_L124_); trivial. % 23.54/23.72 apply (zenon_L116_); trivial. % 23.54/23.72 (* end of lemma zenon_L125_ *) % 23.54/23.72 assert (zenon_L126_ : ((~((op2 (e22) (e22)) = (e23)))\/((op2 (e22) (e23)) = (e22))) -> ((e20) = (op2 (e23) (e23))) -> ((e22) = (op2 (op2 (e23) (e23)) (e23))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (e22) (e20)) = (e20)) -> (~((op2 (e22) (e22)) = (e21))) -> (~((op2 (e22) (e22)) = (e22))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> False). % 23.54/23.72 do 0 intro. intros zenon_H1ca zenon_H14 zenon_H14e zenon_H1a8 zenon_H1cb zenon_H1cc zenon_H1c1 zenon_H1c4 zenon_H1c2. % 23.54/23.72 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H1a7 ]. % 23.54/23.72 apply (zenon_or_s _ _ zenon_H1c2); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H1c6 ]. % 23.54/23.72 cut (((op2 (e22) (e20)) = (e20)) = ((op2 (e22) (e20)) = (op2 (e22) (e22)))). % 23.54/23.72 intro zenon_D_pnotp. % 23.54/23.72 apply zenon_H1cb. % 23.54/23.72 rewrite <- zenon_D_pnotp. % 23.54/23.72 exact zenon_H1cc. % 23.54/23.72 cut (((e20) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H1cd]. % 23.54/23.72 cut (((op2 (e22) (e20)) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1ce]. % 23.54/23.72 congruence. % 23.54/23.72 apply zenon_H1ce. apply refl_equal. % 23.54/23.72 apply zenon_H1cd. apply sym_equal. exact zenon_H1c7. % 23.54/23.72 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H1bf | zenon_intro zenon_H1c8 ]. % 23.54/23.72 exact (zenon_H1c1 zenon_H1bf). % 23.54/23.72 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H16f | zenon_intro zenon_H1c9 ]. % 23.54/23.72 exact (zenon_H1c4 zenon_H16f). % 23.54/23.72 exact (zenon_H1c5 zenon_H1c9). % 23.54/23.72 apply (zenon_L116_); trivial. % 23.54/23.72 (* end of lemma zenon_L126_ *) % 23.54/23.72 assert (zenon_L127_ : (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((op2 (e22) (e20)) = (e22)) -> ((op2 (e22) (e21)) = (e22)) -> False). % 23.54/23.72 do 0 intro. intros zenon_H1cf zenon_H1d0 zenon_H1d1. % 23.54/23.72 cut (((op2 (e22) (e20)) = (e22)) = ((op2 (e22) (e20)) = (op2 (e22) (e21)))). % 23.54/23.72 intro zenon_D_pnotp. % 23.54/23.72 apply zenon_H1cf. % 23.54/23.72 rewrite <- zenon_D_pnotp. % 23.54/23.72 exact zenon_H1d0. % 23.54/23.72 cut (((e22) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H1d2]. % 23.54/23.72 cut (((op2 (e22) (e20)) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1ce]. % 23.54/23.72 congruence. % 23.54/23.72 apply zenon_H1ce. apply refl_equal. % 23.54/23.72 apply zenon_H1d2. apply sym_equal. exact zenon_H1d1. % 23.54/23.72 (* end of lemma zenon_L127_ *) % 23.54/23.72 assert (zenon_L128_ : ((~((op2 (e22) (e22)) = (e20)))\/((op2 (e22) (e20)) = (e22))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (e22) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((~((op2 (e22) (e22)) = (e21)))\/((op2 (e22) (e21)) = (e22))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (e22))) -> ((e22) = (op2 (op2 (e23) (e23)) (e23))) -> ((e21) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (e23) (e23))) -> ((~((op2 (e22) (e22)) = (e23)))\/((op2 (e22) (e23)) = (e22))) -> False). % 23.54/23.72 do 0 intro. intros zenon_H1d3 zenon_H1cb zenon_H1cc zenon_H1cf zenon_H1d4 zenon_H1c2 zenon_H1c4 zenon_H14e zenon_H189 zenon_H1be zenon_H1a8 zenon_H14 zenon_H1ca. % 23.54/23.72 apply (zenon_or_s _ _ zenon_H1d3); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H1d0 ]. % 23.54/23.72 apply (zenon_L125_); trivial. % 23.54/23.72 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1d1 ]. % 23.54/23.72 apply (zenon_L126_); trivial. % 23.54/23.72 apply (zenon_L127_); trivial. % 23.54/23.72 (* end of lemma zenon_L128_ *) % 23.54/23.72 assert (zenon_L129_ : (((op2 (e22) (e20)) = (e20))/\(((~((op2 (e20) (e20)) = (e22)))\/(~((op2 (e20) (e22)) = (e20))))/\(((~((op2 (e21) (e21)) = (e22)))\/(~((op2 (e21) (e22)) = (e21))))/\(((~((op2 (e22) (e22)) = (e22)))\/(~((op2 (e22) (e22)) = (e22))))/\((~((op2 (e23) (e23)) = (e22)))\/(~((op2 (e23) (e22)) = (e23)))))))) -> ((~((op2 (e22) (e22)) = (e23)))\/((op2 (e22) (e23)) = (e22))) -> ((e20) = (op2 (e23) (e23))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((e21) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> ((e22) = (op2 (op2 (e23) (e23)) (e23))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> ((~((op2 (e22) (e22)) = (e21)))\/((op2 (e22) (e21)) = (e22))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((~((op2 (e22) (e22)) = (e20)))\/((op2 (e22) (e20)) = (e22))) -> False). % 23.54/23.72 do 0 intro. intros zenon_H1d5 zenon_H1ca zenon_H14 zenon_H1a8 zenon_H1be zenon_H189 zenon_H14e zenon_H1c2 zenon_H1d4 zenon_H1cf zenon_H1cb zenon_H1d3. % 23.54/23.72 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_H1cc. zenon_intro zenon_H1d6. % 23.54/23.72 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_H1d8. zenon_intro zenon_H1d7. % 23.54/23.72 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H1da. zenon_intro zenon_H1d9. % 23.54/23.72 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1dc. zenon_intro zenon_H1db. % 23.54/23.72 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1c4 ]. % 23.54/23.72 apply (zenon_L128_); trivial. % 23.54/23.72 apply (zenon_L128_); trivial. % 23.54/23.72 (* end of lemma zenon_L129_ *) % 23.54/23.72 assert (zenon_L130_ : (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((e21) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> ((op2 (e22) (e21)) = (e21)) -> ((e22) = (op2 (op2 (e23) (e23)) (e23))) -> False). % 23.54/23.72 do 0 intro. intros zenon_H1dd zenon_H189 zenon_H1de zenon_H14e. % 23.54/23.72 cut (((e21) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) = ((op2 (e22) (e21)) = (op2 (e22) (e23)))). % 23.54/23.72 intro zenon_D_pnotp. % 23.54/23.72 apply zenon_H1dd. % 23.54/23.72 rewrite <- zenon_D_pnotp. % 23.54/23.72 exact zenon_H189. % 23.54/23.72 cut (((op2 (op2 (op2 (e23) (e23)) (e23)) (e23)) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H186]. % 23.54/23.72 cut (((e21) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H1df]. % 23.54/23.72 congruence. % 23.54/23.72 elim (classic ((op2 (e22) (e21)) = (op2 (e22) (e21)))); [ zenon_intro zenon_H1e0 | zenon_intro zenon_H1e1 ]. % 23.54/23.72 cut (((op2 (e22) (e21)) = (op2 (e22) (e21))) = ((e21) = (op2 (e22) (e21)))). % 23.54/23.72 intro zenon_D_pnotp. % 23.54/23.72 apply zenon_H1df. % 23.54/23.72 rewrite <- zenon_D_pnotp. % 23.54/23.72 exact zenon_H1e0. % 23.54/23.72 cut (((op2 (e22) (e21)) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H1e1]. % 23.54/23.72 cut (((op2 (e22) (e21)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H1e2]. % 23.54/23.72 congruence. % 23.54/23.72 exact (zenon_H1e2 zenon_H1de). % 23.54/23.72 apply zenon_H1e1. apply refl_equal. % 23.54/23.72 apply zenon_H1e1. apply refl_equal. % 23.54/23.72 apply (zenon_L106_); trivial. % 23.54/23.72 (* end of lemma zenon_L130_ *) % 23.54/23.72 assert (zenon_L131_ : (((op2 (e22) (e21)) = (e21))/\(((~((op2 (e20) (e20)) = (e22)))\/(~((op2 (e20) (e22)) = (e20))))/\(((~((op2 (e21) (e21)) = (e22)))\/(~((op2 (e21) (e22)) = (e21))))/\(((~((op2 (e22) (e22)) = (e22)))\/(~((op2 (e22) (e22)) = (e22))))/\((~((op2 (e23) (e23)) = (e22)))\/(~((op2 (e23) (e22)) = (e23)))))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((e21) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> ((e22) = (op2 (op2 (e23) (e23)) (e23))) -> False). % 23.54/23.72 do 0 intro. intros zenon_H1e3 zenon_H1dd zenon_H189 zenon_H14e. % 23.54/23.72 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H1de. zenon_intro zenon_H1d6. % 23.54/23.72 apply (zenon_L130_); trivial. % 23.54/23.72 (* end of lemma zenon_L131_ *) % 23.54/23.72 assert (zenon_L132_ : (((op2 (e22) (e22)) = (e22))/\(((~((op2 (e20) (e20)) = (e22)))\/(~((op2 (e20) (e22)) = (e20))))/\(((~((op2 (e21) (e21)) = (e22)))\/(~((op2 (e21) (e22)) = (e21))))/\(((~((op2 (e22) (e22)) = (e22)))\/(~((op2 (e22) (e22)) = (e22))))/\((~((op2 (e23) (e23)) = (e22)))\/(~((op2 (e23) (e22)) = (e23)))))))) -> False). % 23.54/23.72 do 0 intro. intros zenon_H1e4. % 23.54/23.72 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H16f. zenon_intro zenon_H1d6. % 23.54/23.72 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_H1d8. zenon_intro zenon_H1d7. % 23.54/23.72 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H1da. zenon_intro zenon_H1d9. % 23.54/23.72 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1dc. zenon_intro zenon_H1db. % 23.54/23.72 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1c4 ]. % 23.54/23.72 exact (zenon_H1c4 zenon_H16f). % 23.54/23.72 exact (zenon_H1c4 zenon_H16f). % 23.54/23.72 (* end of lemma zenon_L132_ *) % 23.54/23.72 assert (zenon_L133_ : ((op2 (e22) (e23)) = (e23)) -> ((op2 (e21) (e23)) = (e23)) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> False). % 23.54/23.72 do 0 intro. intros zenon_H1e5 zenon_H1e6 zenon_H188. % 23.54/23.72 elim (classic ((op2 (e22) (e23)) = (op2 (e22) (e23)))); [ zenon_intro zenon_H1a9 | zenon_intro zenon_H1aa ]. % 23.54/23.72 cut (((op2 (e22) (e23)) = (op2 (e22) (e23))) = ((op2 (e21) (e23)) = (op2 (e22) (e23)))). % 23.54/23.72 intro zenon_D_pnotp. % 23.54/23.72 apply zenon_H188. % 23.54/23.72 rewrite <- zenon_D_pnotp. % 23.54/23.72 exact zenon_H1a9. % 23.54/23.72 cut (((op2 (e22) (e23)) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H1aa]. % 23.54/23.72 cut (((op2 (e22) (e23)) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H1e7]. % 23.54/23.72 congruence. % 23.54/23.72 cut (((op2 (e22) (e23)) = (e23)) = ((op2 (e22) (e23)) = (op2 (e21) (e23)))). % 23.54/23.72 intro zenon_D_pnotp. % 23.54/23.72 apply zenon_H1e7. % 23.54/23.72 rewrite <- zenon_D_pnotp. % 23.54/23.72 exact zenon_H1e5. % 23.54/23.72 cut (((e23) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H1e8]. % 23.54/23.72 cut (((op2 (e22) (e23)) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H1aa]. % 23.54/23.72 congruence. % 23.54/23.72 apply zenon_H1aa. apply refl_equal. % 23.54/23.72 apply zenon_H1e8. apply sym_equal. exact zenon_H1e6. % 23.54/23.72 apply zenon_H1aa. apply refl_equal. % 23.54/23.72 apply zenon_H1aa. apply refl_equal. % 23.54/23.72 (* end of lemma zenon_L133_ *) % 23.54/23.72 assert (zenon_L134_ : (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((e20) = (op2 (e23) (e23))) -> ((e22) = (op2 (op2 (e23) (e23)) (e23))) -> ((op2 (e22) (e23)) = (e23)) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> False). % 23.54/23.72 do 0 intro. intros zenon_H1e9 zenon_H18d zenon_H189 zenon_H177 zenon_H14 zenon_H14e zenon_H1e5 zenon_H188. % 23.54/23.72 apply (zenon_or_s _ _ zenon_H1e9); [ zenon_intro zenon_H18e | zenon_intro zenon_H1ea ]. % 23.54/23.72 apply (zenon_L108_); trivial. % 23.54/23.72 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H18a | zenon_intro zenon_H1eb ]. % 23.54/23.72 apply (zenon_L107_); trivial. % 23.54/23.72 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H176 | zenon_intro zenon_H1e6 ]. % 23.54/23.72 apply (zenon_L103_); trivial. % 23.54/23.72 apply (zenon_L133_); trivial. % 23.54/23.72 (* end of lemma zenon_L134_ *) % 23.54/23.72 assert (zenon_L135_ : (((op2 (e22) (e23)) = (e23))/\(((~((op2 (e20) (e20)) = (e22)))\/(~((op2 (e20) (e22)) = (e20))))/\(((~((op2 (e21) (e21)) = (e22)))\/(~((op2 (e21) (e22)) = (e21))))/\(((~((op2 (e22) (e22)) = (e22)))\/(~((op2 (e22) (e22)) = (e22))))/\((~((op2 (e23) (e23)) = (e22)))\/(~((op2 (e23) (e22)) = (e23)))))))) -> (((op2 (e21) (e23)) = (e20))\/(((op2 (e21) (e23)) = (e21))\/(((op2 (e21) (e23)) = (e22))\/((op2 (e21) (e23)) = (e23))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e21) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((e20) = (op2 (e23) (e23))) -> ((e22) = (op2 (op2 (e23) (e23)) (e23))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> False). % 23.54/23.72 do 0 intro. intros zenon_H1ec zenon_H1e9 zenon_H18d zenon_H189 zenon_H177 zenon_H14 zenon_H14e zenon_H188. % 23.54/23.72 apply (zenon_and_s _ _ zenon_H1ec). zenon_intro zenon_H1e5. zenon_intro zenon_H1d6. % 23.54/23.72 apply (zenon_L134_); trivial. % 23.54/23.72 (* end of lemma zenon_L135_ *) % 23.54/23.72 assert (zenon_L136_ : (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e20) = (op2 (e23) (e23))) -> ((op2 (e23) (e20)) = (e20)) -> False). % 23.54/23.72 do 0 intro. intros zenon_H1ed zenon_H14 zenon_H1ee. % 23.54/23.72 cut (((e20) = (op2 (e23) (e23))) = ((op2 (e23) (e20)) = (op2 (e23) (e23)))). % 23.54/23.72 intro zenon_D_pnotp. % 23.54/23.72 apply zenon_H1ed. % 23.54/23.72 rewrite <- zenon_D_pnotp. % 23.54/23.72 exact zenon_H14. % 23.54/23.72 cut (((op2 (e23) (e23)) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H156]. % 23.54/23.72 cut (((e20) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1ef]. % 23.54/23.72 congruence. % 23.54/23.72 elim (classic ((op2 (e23) (e20)) = (op2 (e23) (e20)))); [ zenon_intro zenon_H1f0 | zenon_intro zenon_H1f1 ]. % 23.54/23.72 cut (((op2 (e23) (e20)) = (op2 (e23) (e20))) = ((e20) = (op2 (e23) (e20)))). % 23.54/23.72 intro zenon_D_pnotp. % 23.54/23.72 apply zenon_H1ef. % 23.54/23.72 rewrite <- zenon_D_pnotp. % 23.54/23.72 exact zenon_H1f0. % 23.54/23.72 cut (((op2 (e23) (e20)) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1f1]. % 23.54/23.72 cut (((op2 (e23) (e20)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H1f2]. % 23.54/23.72 congruence. % 23.54/23.72 exact (zenon_H1f2 zenon_H1ee). % 23.54/23.72 apply zenon_H1f1. apply refl_equal. % 23.54/23.72 apply zenon_H1f1. apply refl_equal. % 23.54/23.72 apply zenon_H156. apply refl_equal. % 23.54/23.72 (* end of lemma zenon_L136_ *) % 23.54/23.72 assert (zenon_L137_ : (((op2 (e23) (e20)) = (e20))/\(((~((op2 (e20) (e20)) = (e23)))\/(~((op2 (e20) (e23)) = (e20))))/\(((~((op2 (e21) (e21)) = (e23)))\/(~((op2 (e21) (e23)) = (e21))))/\(((~((op2 (e22) (e22)) = (e23)))\/(~((op2 (e22) (e23)) = (e22))))/\((~((op2 (e23) (e23)) = (e23)))\/(~((op2 (e23) (e23)) = (e23)))))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e20) = (op2 (e23) (e23))) -> False). % 23.54/23.72 do 0 intro. intros zenon_H1f3 zenon_H1ed zenon_H14. % 23.54/23.72 apply (zenon_and_s _ _ zenon_H1f3). zenon_intro zenon_H1ee. zenon_intro zenon_H1f4. % 23.54/23.72 apply (zenon_L136_); trivial. % 23.54/23.72 (* end of lemma zenon_L137_ *) % 23.54/23.72 assert (zenon_L138_ : (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (op2 (e23) (e23)) (e23))) -> ((op2 (e20) (e21)) = (e22)) -> ((e20) = (op2 (e23) (e23))) -> False). % 23.54/23.72 do 0 intro. intros zenon_H1f5 zenon_H14e zenon_H1f6 zenon_H14. % 23.54/23.72 cut (((e22) = (op2 (op2 (e23) (e23)) (e23))) = ((op2 (e20) (e21)) = (op2 (e20) (e23)))). % 23.54/23.72 intro zenon_D_pnotp. % 23.54/23.72 apply zenon_H1f5. % 23.54/23.72 rewrite <- zenon_D_pnotp. % 23.54/23.72 exact zenon_H14e. % 23.54/23.72 cut (((op2 (op2 (e23) (e23)) (e23)) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H14c]. % 23.54/23.72 cut (((e22) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H1f7]. % 23.54/23.72 congruence. % 23.54/23.72 elim (classic ((op2 (e20) (e21)) = (op2 (e20) (e21)))); [ zenon_intro zenon_H1f8 | zenon_intro zenon_H1f9 ]. % 23.54/23.72 cut (((op2 (e20) (e21)) = (op2 (e20) (e21))) = ((e22) = (op2 (e20) (e21)))). % 23.54/23.72 intro zenon_D_pnotp. % 23.54/23.72 apply zenon_H1f7. % 23.54/23.72 rewrite <- zenon_D_pnotp. % 23.54/23.72 exact zenon_H1f8. % 23.54/23.72 cut (((op2 (e20) (e21)) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H1f9]. % 23.54/23.72 cut (((op2 (e20) (e21)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H1fa]. % 23.54/23.72 congruence. % 23.54/23.72 exact (zenon_H1fa zenon_H1f6). % 23.54/23.72 apply zenon_H1f9. apply refl_equal. % 23.54/23.72 apply zenon_H1f9. apply refl_equal. % 23.54/23.72 apply (zenon_L95_); trivial. % 23.54/23.72 (* end of lemma zenon_L138_ *) % 23.54/23.72 assert (zenon_L139_ : ((op2 (e22) (e22)) = (e22)) -> ((op2 (e22) (e21)) = (e22)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> False). % 23.54/23.72 do 0 intro. intros zenon_H16f zenon_H1d1 zenon_H1fb. % 23.54/23.72 elim (classic ((op2 (e22) (e22)) = (op2 (e22) (e22)))); [ zenon_intro zenon_H172 | zenon_intro zenon_H173 ]. % 23.54/23.72 cut (((op2 (e22) (e22)) = (op2 (e22) (e22))) = ((op2 (e22) (e21)) = (op2 (e22) (e22)))). % 23.54/23.72 intro zenon_D_pnotp. % 23.54/23.72 apply zenon_H1fb. % 23.54/23.72 rewrite <- zenon_D_pnotp. % 23.54/23.72 exact zenon_H172. % 23.54/23.72 cut (((op2 (e22) (e22)) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H173]. % 23.54/23.72 cut (((op2 (e22) (e22)) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H1fc]. % 23.54/23.72 congruence. % 23.54/23.72 cut (((op2 (e22) (e22)) = (e22)) = ((op2 (e22) (e22)) = (op2 (e22) (e21)))). % 23.54/23.72 intro zenon_D_pnotp. % 23.54/23.72 apply zenon_H1fc. % 23.54/23.72 rewrite <- zenon_D_pnotp. % 23.54/23.72 exact zenon_H16f. % 23.54/23.72 cut (((e22) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H1d2]. % 23.54/23.72 cut (((op2 (e22) (e22)) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H173]. % 23.54/23.72 congruence. % 23.54/23.72 apply zenon_H173. apply refl_equal. % 23.54/23.72 apply zenon_H1d2. apply sym_equal. exact zenon_H1d1. % 23.54/23.72 apply zenon_H173. apply refl_equal. % 23.54/23.72 apply zenon_H173. apply refl_equal. % 23.54/23.72 (* end of lemma zenon_L139_ *) % 23.54/23.72 assert (zenon_L140_ : ((op2 (e23) (e21)) = (e21)) -> ((op2 (e23) (e21)) = (e22)) -> (~((e21) = (e22))) -> False). % 23.54/23.72 do 0 intro. intros zenon_H1fd zenon_H1fe zenon_H16a. % 23.54/23.72 elim (classic ((e22) = (e22))); [ zenon_intro zenon_H16b | zenon_intro zenon_H16c ]. % 23.54/23.72 cut (((e22) = (e22)) = ((e21) = (e22))). % 23.54/23.72 intro zenon_D_pnotp. % 23.54/23.72 apply zenon_H16a. % 23.54/23.72 rewrite <- zenon_D_pnotp. % 23.54/23.72 exact zenon_H16b. % 23.54/23.72 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H16c]. % 23.54/23.72 cut (((e22) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H16d]. % 23.54/23.72 congruence. % 23.54/23.72 cut (((op2 (e23) (e21)) = (e21)) = ((e22) = (e21))). % 23.54/23.72 intro zenon_D_pnotp. % 23.54/23.72 apply zenon_H16d. % 23.54/23.72 rewrite <- zenon_D_pnotp. % 23.54/23.72 exact zenon_H1fd. % 23.54/23.72 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H167]. % 23.54/23.72 cut (((op2 (e23) (e21)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H1ff]. % 23.54/23.72 congruence. % 23.54/23.72 exact (zenon_H1ff zenon_H1fe). % 23.54/23.72 apply zenon_H167. apply refl_equal. % 23.54/23.72 apply zenon_H16c. apply refl_equal. % 23.54/23.72 apply zenon_H16c. apply refl_equal. % 23.54/23.72 (* end of lemma zenon_L140_ *) % 23.54/23.72 assert (zenon_L141_ : (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> ((e20) = (op2 (e23) (e23))) -> ((e22) = (op2 (op2 (e23) (e23)) (e23))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e21)) = (e22))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> ((op2 (e22) (e22)) = (e22)) -> ((op2 (e23) (e21)) = (e21)) -> (~((e21) = (e22))) -> False). % 23.54/23.72 do 0 intro. intros zenon_H200 zenon_H14 zenon_H14e zenon_H1f5 zenon_H17e zenon_H1fb zenon_H16f zenon_H1fd zenon_H16a. % 23.54/23.72 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H1f6 | zenon_intro zenon_H201 ]. % 23.54/23.72 apply (zenon_L138_); trivial. % 23.54/23.72 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H181 | zenon_intro zenon_H202 ]. % 23.54/23.72 exact (zenon_H17e zenon_H181). % 23.54/23.72 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H1fe ]. % 23.54/23.72 apply (zenon_L139_); trivial. % 23.54/23.72 apply (zenon_L140_); trivial. % 23.54/23.72 (* end of lemma zenon_L141_ *) % 23.54/23.72 assert (zenon_L142_ : ((op2 (e23) (e21)) = (e21)) -> ((op2 (e20) (e21)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> False). % 23.54/23.72 do 0 intro. intros zenon_H1fd zenon_H21 zenon_H203. % 23.54/23.72 elim (classic ((op2 (e23) (e21)) = (op2 (e23) (e21)))); [ zenon_intro zenon_H204 | zenon_intro zenon_H205 ]. % 23.54/23.72 cut (((op2 (e23) (e21)) = (op2 (e23) (e21))) = ((op2 (e20) (e21)) = (op2 (e23) (e21)))). % 23.54/23.72 intro zenon_D_pnotp. % 23.54/23.72 apply zenon_H203. % 23.54/23.72 rewrite <- zenon_D_pnotp. % 23.54/23.72 exact zenon_H204. % 23.54/23.72 cut (((op2 (e23) (e21)) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H205]. % 23.54/23.72 cut (((op2 (e23) (e21)) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H206]. % 23.54/23.72 congruence. % 23.54/23.72 cut (((op2 (e23) (e21)) = (e21)) = ((op2 (e23) (e21)) = (op2 (e20) (e21)))). % 23.54/23.72 intro zenon_D_pnotp. % 23.54/23.72 apply zenon_H206. % 23.54/23.72 rewrite <- zenon_D_pnotp. % 23.54/23.72 exact zenon_H1fd. % 23.54/23.72 cut (((e21) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H207]. % 23.54/23.72 cut (((op2 (e23) (e21)) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H205]. % 23.54/23.72 congruence. % 23.54/23.72 apply zenon_H205. apply refl_equal. % 23.54/23.72 apply zenon_H207. apply sym_equal. exact zenon_H21. % 23.54/23.72 apply zenon_H205. apply refl_equal. % 23.54/23.72 apply zenon_H205. apply refl_equal. % 23.54/23.72 (* end of lemma zenon_L142_ *) % 23.54/23.72 assert (zenon_L143_ : ((op2 (e21) (e22)) = (e21)) -> ((op2 (e20) (e22)) = (e21)) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> False). % 23.54/23.72 do 0 intro. intros zenon_H183 zenon_H208 zenon_H209. % 23.54/23.72 elim (classic ((op2 (e21) (e22)) = (op2 (e21) (e22)))); [ zenon_intro zenon_H20a | zenon_intro zenon_H20b ]. % 23.54/23.72 cut (((op2 (e21) (e22)) = (op2 (e21) (e22))) = ((op2 (e20) (e22)) = (op2 (e21) (e22)))). % 23.54/23.72 intro zenon_D_pnotp. % 23.54/23.72 apply zenon_H209. % 23.54/23.72 rewrite <- zenon_D_pnotp. % 23.54/23.72 exact zenon_H20a. % 23.54/23.72 cut (((op2 (e21) (e22)) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H20b]. % 23.54/23.72 cut (((op2 (e21) (e22)) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H20c]. % 23.54/23.72 congruence. % 23.54/23.72 cut (((op2 (e21) (e22)) = (e21)) = ((op2 (e21) (e22)) = (op2 (e20) (e22)))). % 23.54/23.72 intro zenon_D_pnotp. % 23.54/23.72 apply zenon_H20c. % 23.54/23.72 rewrite <- zenon_D_pnotp. % 23.54/23.72 exact zenon_H183. % 23.54/23.72 cut (((e21) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H20d]. % 23.54/23.72 cut (((op2 (e21) (e22)) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H20b]. % 23.54/23.72 congruence. % 23.54/23.72 apply zenon_H20b. apply refl_equal. % 23.54/23.72 apply zenon_H20d. apply sym_equal. exact zenon_H208. % 23.54/23.72 apply zenon_H20b. apply refl_equal. % 23.54/23.72 apply zenon_H20b. apply refl_equal. % 23.54/23.72 (* end of lemma zenon_L143_ *) % 23.54/23.72 assert (zenon_L144_ : (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((e21) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> ((op2 (e20) (e23)) = (e21)) -> ((e22) = (op2 (op2 (e23) (e23)) (e23))) -> False). % 23.54/23.72 do 0 intro. intros zenon_H1a8 zenon_H189 zenon_H20e zenon_H14e. % 23.54/23.72 cut (((e21) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) = ((op2 (e20) (e23)) = (op2 (e22) (e23)))). % 23.54/23.72 intro zenon_D_pnotp. % 23.54/23.72 apply zenon_H1a8. % 23.54/23.72 rewrite <- zenon_D_pnotp. % 23.54/23.72 exact zenon_H189. % 23.54/23.72 cut (((op2 (op2 (op2 (e23) (e23)) (e23)) (e23)) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H186]. % 23.54/23.72 cut (((e21) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H20f]. % 23.54/23.72 congruence. % 23.54/23.72 elim (classic ((op2 (e20) (e23)) = (op2 (e20) (e23)))); [ zenon_intro zenon_H158 | zenon_intro zenon_H159 ]. % 23.54/23.72 cut (((op2 (e20) (e23)) = (op2 (e20) (e23))) = ((e21) = (op2 (e20) (e23)))). % 23.54/23.72 intro zenon_D_pnotp. % 23.54/23.72 apply zenon_H20f. % 23.54/23.72 rewrite <- zenon_D_pnotp. % 23.54/23.72 exact zenon_H158. % 23.54/23.72 cut (((op2 (e20) (e23)) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H159]. % 23.54/23.72 cut (((op2 (e20) (e23)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H210]. % 23.54/23.72 congruence. % 23.54/23.72 exact (zenon_H210 zenon_H20e). % 23.54/23.72 apply zenon_H159. apply refl_equal. % 23.54/23.72 apply zenon_H159. apply refl_equal. % 23.54/23.72 apply (zenon_L106_); trivial. % 23.54/23.72 (* end of lemma zenon_L144_ *) % 23.54/23.72 assert (zenon_L145_ : (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((op2 (e20) (e21)) = (e20)) -> ((op2 (e20) (e22)) = (e20)) -> False). % 23.54/23.72 do 0 intro. intros zenon_H211 zenon_H1bb zenon_H212. % 23.54/23.72 cut (((op2 (e20) (e21)) = (e20)) = ((op2 (e20) (e21)) = (op2 (e20) (e22)))). % 23.54/23.72 intro zenon_D_pnotp. % 23.54/23.72 apply zenon_H211. % 23.54/23.72 rewrite <- zenon_D_pnotp. % 23.54/23.72 exact zenon_H1bb. % 23.54/23.72 cut (((e20) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H213]. % 23.54/23.72 cut (((op2 (e20) (e21)) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H1f9]. % 23.54/23.72 congruence. % 23.54/23.72 apply zenon_H1f9. apply refl_equal. % 23.54/23.72 apply zenon_H213. apply sym_equal. exact zenon_H212. % 23.54/23.72 (* end of lemma zenon_L145_ *) % 23.54/23.72 assert (zenon_L146_ : (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((e20) = (op2 (e23) (e23))) -> ((op2 (e23) (e22)) = (e20)) -> False). % 23.54/23.72 do 0 intro. intros zenon_H214 zenon_H14 zenon_H215. % 23.54/23.72 cut (((e20) = (op2 (e23) (e23))) = ((op2 (e23) (e22)) = (op2 (e23) (e23)))). % 23.54/23.72 intro zenon_D_pnotp. % 23.54/23.72 apply zenon_H214. % 23.54/23.72 rewrite <- zenon_D_pnotp. % 23.54/23.72 exact zenon_H14. % 23.54/23.72 cut (((op2 (e23) (e23)) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H156]. % 23.54/23.72 cut (((e20) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H216]. % 23.54/23.72 congruence. % 23.54/23.72 elim (classic ((op2 (e23) (e22)) = (op2 (e23) (e22)))); [ zenon_intro zenon_H217 | zenon_intro zenon_H218 ]. % 23.54/23.72 cut (((op2 (e23) (e22)) = (op2 (e23) (e22))) = ((e20) = (op2 (e23) (e22)))). % 23.54/23.72 intro zenon_D_pnotp. % 23.54/23.72 apply zenon_H216. % 23.54/23.72 rewrite <- zenon_D_pnotp. % 23.54/23.72 exact zenon_H217. % 23.54/23.72 cut (((op2 (e23) (e22)) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H218]. % 23.54/23.72 cut (((op2 (e23) (e22)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H219]. % 23.54/23.72 congruence. % 23.54/23.72 exact (zenon_H219 zenon_H215). % 23.54/23.72 apply zenon_H218. apply refl_equal. % 23.54/23.72 apply zenon_H218. apply refl_equal. % 23.54/23.72 apply zenon_H156. apply refl_equal. % 23.54/23.72 (* end of lemma zenon_L146_ *) % 23.54/23.72 assert (zenon_L147_ : ((op2 (e22) (e22)) = (e22)) -> ((op2 (e22) (e20)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> False). % 23.54/23.72 do 0 intro. intros zenon_H16f zenon_H1d0 zenon_H1cb. % 23.54/23.72 elim (classic ((op2 (e22) (e22)) = (op2 (e22) (e22)))); [ zenon_intro zenon_H172 | zenon_intro zenon_H173 ]. % 23.54/23.72 cut (((op2 (e22) (e22)) = (op2 (e22) (e22))) = ((op2 (e22) (e20)) = (op2 (e22) (e22)))). % 23.54/23.72 intro zenon_D_pnotp. % 23.54/23.72 apply zenon_H1cb. % 23.54/23.72 rewrite <- zenon_D_pnotp. % 23.54/23.72 exact zenon_H172. % 23.54/23.72 cut (((op2 (e22) (e22)) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H173]. % 23.54/23.72 cut (((op2 (e22) (e22)) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H21a]. % 23.54/23.72 congruence. % 23.54/23.72 cut (((op2 (e22) (e22)) = (e22)) = ((op2 (e22) (e22)) = (op2 (e22) (e20)))). % 23.54/23.72 intro zenon_D_pnotp. % 23.54/23.72 apply zenon_H21a. % 23.54/23.72 rewrite <- zenon_D_pnotp. % 23.54/23.72 exact zenon_H16f. % 23.54/23.72 cut (((e22) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H21b]. % 23.54/23.72 cut (((op2 (e22) (e22)) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H173]. % 23.54/23.72 congruence. % 23.54/23.72 apply zenon_H173. apply refl_equal. % 23.54/23.72 apply zenon_H21b. apply sym_equal. exact zenon_H1d0. % 23.54/23.72 apply zenon_H173. apply refl_equal. % 23.54/23.72 apply zenon_H173. apply refl_equal. % 23.54/23.72 (* end of lemma zenon_L147_ *) % 23.54/23.72 assert (zenon_L148_ : ((~((op2 (e22) (e22)) = (e20)))\/((op2 (e22) (e20)) = (e22))) -> ((op2 (e22) (e22)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((op2 (e20) (e21)) = (e20)) -> (~((e20) = (e21))) -> ((op2 (e21) (e22)) = (e21)) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((e20) = (op2 (e23) (e23))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e22)) = (e20))))) -> False). % 23.54/23.72 do 0 intro. intros zenon_H1d3 zenon_H16f zenon_H1cb zenon_H211 zenon_H1bb zenon_H182 zenon_H183 zenon_H214 zenon_H14 zenon_H21c. % 23.54/23.72 apply (zenon_or_s _ _ zenon_H1d3); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H1d0 ]. % 23.54/23.72 apply (zenon_or_s _ _ zenon_H21c); [ zenon_intro zenon_H212 | zenon_intro zenon_H21d ]. % 23.54/23.72 apply (zenon_L145_); trivial. % 23.54/23.72 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H184 | zenon_intro zenon_H21e ]. % 23.54/23.72 apply (zenon_L105_); trivial. % 23.54/23.72 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H215 ]. % 23.54/23.72 exact (zenon_H1c3 zenon_H1c7). % 23.54/23.72 apply (zenon_L146_); trivial. % 23.54/23.72 apply (zenon_L147_); trivial. % 23.54/23.72 (* end of lemma zenon_L148_ *) % 23.54/23.72 assert (zenon_L149_ : ((~((op2 (e20) (e20)) = (e21)))\/((op2 (e20) (e21)) = (e20))) -> ((~((op2 (e22) (e22)) = (e20)))\/((op2 (e22) (e20)) = (e22))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((e20) = (e21))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e22)) = (e20))))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> ((op2 (e23) (e21)) = (e21)) -> (~((e21) = (e22))) -> ((op2 (e22) (e22)) = (e22)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> ((e20) = (op2 (e23) (e23))) -> ((e22) = (op2 (op2 (e23) (e23)) (e23))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> ((e21) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> ((~((op2 (e21) (e21)) = (e22)))\/((op2 (e21) (e22)) = (e21))) -> False). % 23.54/23.72 do 0 intro. intros zenon_H1ba zenon_H1d3 zenon_H1cb zenon_H211 zenon_H182 zenon_H214 zenon_H21c zenon_H200 zenon_H1fd zenon_H16a zenon_H16f zenon_H1fb zenon_H14 zenon_H14e zenon_H1f5 zenon_H21f zenon_H189 zenon_H1a8 zenon_H209 zenon_H203 zenon_H19e. % 23.54/23.72 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H15d | zenon_intro zenon_H1bb ]. % 23.54/23.72 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H17e | zenon_intro zenon_H183 ]. % 23.54/23.72 apply (zenon_L141_); trivial. % 23.54/23.72 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H162 | zenon_intro zenon_H220 ]. % 23.54/23.72 exact (zenon_H15d zenon_H162). % 23.54/23.72 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H21 | zenon_intro zenon_H221 ]. % 23.54/23.72 apply (zenon_L142_); trivial. % 23.54/23.72 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H208 | zenon_intro zenon_H20e ]. % 23.54/23.72 apply (zenon_L143_); trivial. % 23.54/23.72 apply (zenon_L144_); trivial. % 23.54/23.72 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H17e | zenon_intro zenon_H183 ]. % 23.54/23.72 apply (zenon_L141_); trivial. % 23.54/23.72 apply (zenon_L148_); trivial. % 23.54/23.72 (* end of lemma zenon_L149_ *) % 23.54/23.72 assert (zenon_L150_ : (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> ((e20) = (op2 (e23) (e23))) -> ((e22) = (op2 (op2 (e23) (e23)) (e23))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e21)) = (e22))) -> ((op2 (e22) (e20)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((op2 (e23) (e21)) = (e21)) -> (~((e21) = (e22))) -> False). % 23.54/23.72 do 0 intro. intros zenon_H200 zenon_H14 zenon_H14e zenon_H1f5 zenon_H17e zenon_H1d0 zenon_H1cf zenon_H1fd zenon_H16a. % 23.54/23.72 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H1f6 | zenon_intro zenon_H201 ]. % 23.54/23.72 apply (zenon_L138_); trivial. % 23.54/23.72 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H181 | zenon_intro zenon_H202 ]. % 23.54/23.72 exact (zenon_H17e zenon_H181). % 23.54/23.72 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H1fe ]. % 23.54/23.72 apply (zenon_L127_); trivial. % 23.54/23.72 apply (zenon_L140_); trivial. % 23.54/23.72 (* end of lemma zenon_L150_ *) % 23.54/23.72 assert (zenon_L151_ : (~((op2 (e21) (e21)) = (e22))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (e23))) -> ((e22) = (op2 (op2 (e23) (e23)) (e23))) -> ((e21) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((~((op2 (e20) (e20)) = (e21)))\/((op2 (e20) (e21)) = (e20))) -> ((~((op2 (e22) (e22)) = (e20)))\/((op2 (e22) (e20)) = (e22))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((e20) = (e21))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e22)) = (e20))))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> ((op2 (e23) (e21)) = (e21)) -> (~((e21) = (e22))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> ((e20) = (op2 (e23) (e23))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> ((~((op2 (e21) (e21)) = (e22)))\/((op2 (e21) (e22)) = (e21))) -> ((~((op2 (e22) (e22)) = (e22)))\/((op2 (e22) (e22)) = (e22))) -> False). % 23.54/23.72 do 0 intro. intros zenon_H17e zenon_H1cf zenon_H1c2 zenon_H1c5 zenon_H14e zenon_H189 zenon_H1be zenon_H1ba zenon_H1d3 zenon_H1cb zenon_H211 zenon_H182 zenon_H214 zenon_H21c zenon_H200 zenon_H1fd zenon_H16a zenon_H1fb zenon_H14 zenon_H1f5 zenon_H21f zenon_H1a8 zenon_H209 zenon_H203 zenon_H19e zenon_H222. % 23.54/23.72 apply (zenon_or_s _ _ zenon_H1d3); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H1d0 ]. % 23.54/23.72 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H16f ]. % 23.54/23.72 apply (zenon_L124_); trivial. % 23.54/23.72 apply (zenon_L149_); trivial. % 23.54/23.72 apply (zenon_L150_); trivial. % 23.54/23.72 (* end of lemma zenon_L151_ *) % 23.54/23.72 assert (zenon_L152_ : ((~((op2 (e21) (e21)) = (e20)))\/((op2 (e21) (e20)) = (e21))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (e23))) -> ((e22) = (op2 (op2 (e23) (e23)) (e23))) -> ((e21) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((~((op2 (e20) (e20)) = (e21)))\/((op2 (e20) (e21)) = (e20))) -> ((~((op2 (e22) (e22)) = (e20)))\/((op2 (e22) (e20)) = (e22))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((e20) = (e21))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e22)) = (e20))))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> ((op2 (e23) (e21)) = (e21)) -> (~((e21) = (e22))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> ((e20) = (op2 (e23) (e23))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> ((~((op2 (e21) (e21)) = (e22)))\/((op2 (e21) (e22)) = (e21))) -> ((~((op2 (e22) (e22)) = (e22)))\/((op2 (e22) (e22)) = (e22))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e20)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> False). % 23.54/23.72 do 0 intro. intros zenon_H19f zenon_H19b zenon_H1cf zenon_H1c2 zenon_H1c5 zenon_H14e zenon_H189 zenon_H1be zenon_H1ba zenon_H1d3 zenon_H1cb zenon_H211 zenon_H182 zenon_H214 zenon_H21c zenon_H200 zenon_H1fd zenon_H16a zenon_H1fb zenon_H14 zenon_H1f5 zenon_H21f zenon_H1a8 zenon_H209 zenon_H203 zenon_H19e zenon_H222 zenon_H191 zenon_H18d zenon_H1a zenon_H164. % 23.54/23.72 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_H192 | zenon_intro zenon_H168 ]. % 23.54/23.72 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H17e | zenon_intro zenon_H183 ]. % 23.54/23.72 apply (zenon_L151_); trivial. % 23.54/23.72 apply (zenon_L110_); trivial. % 23.54/23.72 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H17e | zenon_intro zenon_H183 ]. % 23.54/23.72 apply (zenon_L151_); trivial. % 23.54/23.72 apply (zenon_L111_); trivial. % 23.54/23.72 (* end of lemma zenon_L152_ *) % 23.54/23.72 assert (zenon_L153_ : (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e21) (e21)) = (e21)) -> ((op2 (e23) (e21)) = (e21)) -> False). % 23.54/23.72 do 0 intro. intros zenon_H223 zenon_H19a zenon_H1fd. % 23.54/23.72 cut (((op2 (e21) (e21)) = (e21)) = ((op2 (e21) (e21)) = (op2 (e23) (e21)))). % 23.54/23.72 intro zenon_D_pnotp. % 23.54/23.72 apply zenon_H223. % 23.54/23.72 rewrite <- zenon_D_pnotp. % 23.54/23.72 exact zenon_H19a. % 23.54/23.72 cut (((e21) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H224]. % 23.54/23.72 cut (((op2 (e21) (e21)) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H225]. % 23.54/23.72 congruence. % 23.54/23.72 apply zenon_H225. apply refl_equal. % 23.54/23.72 apply zenon_H224. apply sym_equal. exact zenon_H1fd. % 23.54/23.72 (* end of lemma zenon_L153_ *) % 23.54/23.72 assert (zenon_L154_ : (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> ((~((op2 (e22) (e22)) = (e22)))\/((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (e23))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((~((op2 (e21) (e21)) = (e20)))\/((op2 (e21) (e20)) = (e21))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((~((op2 (e21) (e21)) = (e22)))\/((op2 (e21) (e22)) = (e21))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((e21) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (op2 (e23) (e23)) (e23))) -> ((e20) = (op2 (e23) (e23))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((e21) = (e22))) -> ((op2 (e23) (e21)) = (e21)) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e22)) = (e20))))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((e20) = (e21))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((~((op2 (e22) (e22)) = (e20)))\/((op2 (e22) (e20)) = (e22))) -> ((~((op2 (e20) (e20)) = (e21)))\/((op2 (e20) (e21)) = (e20))) -> (~((op2 (e23) (e23)) = (e23))) -> False). % 23.54/23.72 do 0 intro. intros zenon_H1b6 zenon_H164 zenon_H18d zenon_H191 zenon_H222 zenon_H1be zenon_H1c5 zenon_H1c2 zenon_H1cf zenon_H19b zenon_H19f zenon_H223 zenon_H19e zenon_H203 zenon_H209 zenon_H1a8 zenon_H189 zenon_H21f zenon_H1f5 zenon_H14e zenon_H14 zenon_H1fb zenon_H16a zenon_H1fd zenon_H200 zenon_H21c zenon_H214 zenon_H182 zenon_H211 zenon_H1cb zenon_H1d3 zenon_H1ba zenon_H1a6. % 23.54/23.72 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H1a | zenon_intro zenon_H1b7 ]. % 23.54/23.72 apply (zenon_L152_); trivial. % 23.54/23.72 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H19a | zenon_intro zenon_H1b8 ]. % 23.54/23.72 apply (zenon_L153_); trivial. % 23.54/23.72 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H16f | zenon_intro zenon_H1a2 ]. % 23.54/23.72 apply (zenon_L149_); trivial. % 23.54/23.72 exact (zenon_H1a6 zenon_H1a2). % 23.54/23.72 (* end of lemma zenon_L154_ *) % 23.54/23.72 assert (zenon_L155_ : ((~((op2 (e22) (e22)) = (e23)))\/((op2 (e22) (e23)) = (e22))) -> (~((op2 (e22) (e23)) = (e22))) -> (~((op2 (e22) (e22)) = (e20))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((e21) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> ((e22) = (op2 (op2 (e23) (e23)) (e23))) -> (~((op2 (e22) (e22)) = (e22))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> False). % 23.54/23.72 do 0 intro. intros zenon_H1ca zenon_H1ad zenon_H1c3 zenon_H1be zenon_H189 zenon_H14e zenon_H1c4 zenon_H1c2. % 23.54/23.72 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H1a7 ]. % 23.54/23.72 apply (zenon_L124_); trivial. % 23.54/23.72 exact (zenon_H1ad zenon_H1a7). % 23.54/23.72 (* end of lemma zenon_L155_ *) % 23.54/23.72 assert (zenon_L156_ : ((~((op2 (e21) (e21)) = (e22)))\/((op2 (e21) (e22)) = (e21))) -> ((op2 (e21) (e20)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (op2 (e23) (e23)) (e23))) -> ((e20) = (op2 (e23) (e23))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> ((op2 (e22) (e22)) = (e22)) -> (~((e21) = (e22))) -> ((op2 (e23) (e21)) = (e21)) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> False). % 23.54/23.72 do 0 intro. intros zenon_H19e zenon_H168 zenon_H19b zenon_H1f5 zenon_H14e zenon_H14 zenon_H1fb zenon_H16f zenon_H16a zenon_H1fd zenon_H200. % 23.54/23.72 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H17e | zenon_intro zenon_H183 ]. % 23.54/23.72 apply (zenon_L141_); trivial. % 23.54/23.72 apply (zenon_L111_); trivial. % 23.54/23.72 (* end of lemma zenon_L156_ *) % 23.54/23.72 assert (zenon_L157_ : ((~((op2 (e21) (e21)) = (e20)))\/((op2 (e21) (e20)) = (e21))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> ((op2 (e23) (e21)) = (e21)) -> (~((e21) = (e22))) -> ((op2 (e22) (e22)) = (e22)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> ((e20) = (op2 (e23) (e23))) -> ((e22) = (op2 (op2 (e23) (e23)) (e23))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((e20) = (e21))) -> ((op2 (e20) (e20)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((~((op2 (e21) (e21)) = (e22)))\/((op2 (e21) (e22)) = (e21))) -> False). % 23.54/23.72 do 0 intro. intros zenon_H19f zenon_H19b zenon_H200 zenon_H1fd zenon_H16a zenon_H16f zenon_H1fb zenon_H14 zenon_H14e zenon_H1f5 zenon_H191 zenon_H18d zenon_H182 zenon_H1a zenon_H164 zenon_H19e. % 23.54/23.72 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_H192 | zenon_intro zenon_H168 ]. % 23.54/23.72 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H17e | zenon_intro zenon_H183 ]. % 23.54/23.72 apply (zenon_L141_); trivial. % 23.54/23.72 apply (zenon_L110_); trivial. % 23.54/23.72 apply (zenon_L156_); trivial. % 23.54/23.72 (* end of lemma zenon_L157_ *) % 23.54/23.72 assert (zenon_L158_ : ((~((op2 (e22) (e22)) = (e20)))\/((op2 (e22) (e20)) = (e22))) -> (~((op2 (e21) (e21)) = (e22))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((~((op2 (e22) (e22)) = (e23)))\/((op2 (e22) (e23)) = (e22))) -> (~((op2 (e22) (e23)) = (e22))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((e21) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> ((e22) = (op2 (op2 (e23) (e23)) (e23))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> ((~((op2 (e21) (e21)) = (e20)))\/((op2 (e21) (e20)) = (e21))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> ((op2 (e23) (e21)) = (e21)) -> (~((e21) = (e22))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> ((e20) = (op2 (e23) (e23))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((e20) = (e21))) -> ((op2 (e20) (e20)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((~((op2 (e21) (e21)) = (e22)))\/((op2 (e21) (e22)) = (e21))) -> ((~((op2 (e22) (e22)) = (e22)))\/((op2 (e22) (e22)) = (e22))) -> False). % 23.54/23.72 do 0 intro. intros zenon_H1d3 zenon_H17e zenon_H1cf zenon_H1ca zenon_H1ad zenon_H1be zenon_H189 zenon_H14e zenon_H1c2 zenon_H19f zenon_H19b zenon_H200 zenon_H1fd zenon_H16a zenon_H1fb zenon_H14 zenon_H1f5 zenon_H191 zenon_H18d zenon_H182 zenon_H1a zenon_H164 zenon_H19e zenon_H222. % 23.54/23.72 apply (zenon_or_s _ _ zenon_H1d3); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H1d0 ]. % 23.54/23.72 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H16f ]. % 23.54/23.72 apply (zenon_L155_); trivial. % 23.54/23.72 apply (zenon_L157_); trivial. % 23.54/23.72 apply (zenon_L150_); trivial. % 23.54/23.72 (* end of lemma zenon_L158_ *) % 23.54/23.72 assert (zenon_L159_ : (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> ((~((op2 (e22) (e22)) = (e22)))\/((op2 (e22) (e22)) = (e22))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((~((op2 (e21) (e21)) = (e20)))\/((op2 (e21) (e20)) = (e21))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e23)) = (e22))) -> ((~((op2 (e22) (e22)) = (e23)))\/((op2 (e22) (e23)) = (e22))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> ((~((op2 (e21) (e21)) = (e22)))\/((op2 (e21) (e22)) = (e21))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((e21) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (op2 (e23) (e23)) (e23))) -> ((e20) = (op2 (e23) (e23))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((e21) = (e22))) -> ((op2 (e23) (e21)) = (e21)) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e22)) = (e20))))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((e20) = (e21))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((~((op2 (e22) (e22)) = (e20)))\/((op2 (e22) (e20)) = (e22))) -> ((~((op2 (e20) (e20)) = (e21)))\/((op2 (e20) (e21)) = (e20))) -> (~((op2 (e23) (e23)) = (e23))) -> False). % 23.54/23.72 do 0 intro. intros zenon_H1b6 zenon_H222 zenon_H164 zenon_H18d zenon_H191 zenon_H19b zenon_H19f zenon_H1c2 zenon_H1be zenon_H1ad zenon_H1ca zenon_H1cf zenon_H223 zenon_H19e zenon_H203 zenon_H209 zenon_H1a8 zenon_H189 zenon_H21f zenon_H1f5 zenon_H14e zenon_H14 zenon_H1fb zenon_H16a zenon_H1fd zenon_H200 zenon_H21c zenon_H214 zenon_H182 zenon_H211 zenon_H1cb zenon_H1d3 zenon_H1ba zenon_H1a6. % 23.54/23.72 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H1a | zenon_intro zenon_H1b7 ]. % 23.54/23.72 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_H192 | zenon_intro zenon_H168 ]. % 23.54/23.72 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H17e | zenon_intro zenon_H183 ]. % 23.54/23.72 apply (zenon_L158_); trivial. % 23.54/23.72 apply (zenon_L110_); trivial. % 23.54/23.72 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H17e | zenon_intro zenon_H183 ]. % 23.54/23.72 apply (zenon_L158_); trivial. % 23.54/23.72 apply (zenon_L111_); trivial. % 23.54/23.72 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H19a | zenon_intro zenon_H1b8 ]. % 23.54/23.72 apply (zenon_L153_); trivial. % 23.54/23.72 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H16f | zenon_intro zenon_H1a2 ]. % 23.54/23.72 apply (zenon_L149_); trivial. % 23.54/23.72 exact (zenon_H1a6 zenon_H1a2). % 23.54/23.72 (* end of lemma zenon_L159_ *) % 23.54/23.72 assert (zenon_L160_ : (((op2 (e23) (e21)) = (e21))/\(((~((op2 (e20) (e20)) = (e23)))\/(~((op2 (e20) (e23)) = (e20))))/\(((~((op2 (e21) (e21)) = (e23)))\/(~((op2 (e21) (e23)) = (e21))))/\(((~((op2 (e22) (e22)) = (e23)))\/(~((op2 (e22) (e23)) = (e22))))/\((~((op2 (e23) (e23)) = (e23)))\/(~((op2 (e23) (e23)) = (e23)))))))) -> ((~((op2 (e22) (e22)) = (e23)))\/((op2 (e22) (e23)) = (e22))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> ((~((op2 (e22) (e22)) = (e22)))\/((op2 (e22) (e22)) = (e22))) -> ((~((op2 (e21) (e21)) = (e22)))\/((op2 (e21) (e22)) = (e21))) -> (~((op2 (e20) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((e20) = (op2 (e23) (e23))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((e21) = (e22))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e23) (e22)) = (e20))))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((e20) = (e21))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((~((op2 (e22) (e22)) = (e20)))\/((op2 (e22) (e20)) = (e22))) -> ((~((op2 (e20) (e20)) = (e21)))\/((op2 (e20) (e21)) = (e20))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((e21) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> ((e22) = (op2 (op2 (e23) (e23)) (e23))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((~((op2 (e21) (e21)) = (e20)))\/((op2 (e21) (e20)) = (e21))) -> False). % 23.54/23.72 do 0 intro. intros zenon_H226 zenon_H1ca zenon_H1b6 zenon_H223 zenon_H164 zenon_H18d zenon_H191 zenon_H222 zenon_H19e zenon_H203 zenon_H209 zenon_H1a8 zenon_H21f zenon_H1f5 zenon_H14 zenon_H1fb zenon_H16a zenon_H200 zenon_H21c zenon_H214 zenon_H182 zenon_H211 zenon_H1cb zenon_H1d3 zenon_H1ba zenon_H1be zenon_H189 zenon_H14e zenon_H1c2 zenon_H1cf zenon_H19b zenon_H19f. % 23.54/23.72 apply (zenon_and_s _ _ zenon_H226). zenon_intro zenon_H1fd. zenon_intro zenon_H1f4. % 23.54/23.72 apply (zenon_and_s _ _ zenon_H1f4). zenon_intro zenon_H228. zenon_intro zenon_H227. % 23.54/23.72 apply (zenon_and_s _ _ zenon_H227). zenon_intro zenon_H22a. zenon_intro zenon_H229. % 23.54/23.72 apply (zenon_and_s _ _ zenon_H229). zenon_intro zenon_H22c. zenon_intro zenon_H22b. % 23.54/23.72 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H1ad ]. % 23.54/23.72 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1a6 ]. % 23.54/23.72 apply (zenon_L154_); trivial. % 23.54/23.72 apply (zenon_L154_); trivial. % 23.54/23.72 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1a6 ]. % 23.54/23.72 apply (zenon_L159_); trivial. % 23.54/23.72 apply (zenon_L159_); trivial. % 23.54/23.72 (* end of lemma zenon_L160_ *) % 23.54/23.72 assert (zenon_L161_ : ((op2 (e23) (e22)) = (e22)) -> ((op2 (e22) (e22)) = (e22)) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> False). % 23.54/23.72 do 0 intro. intros zenon_H22d zenon_H16f zenon_H22e. % 23.54/23.72 elim (classic ((op2 (e23) (e22)) = (op2 (e23) (e22)))); [ zenon_intro zenon_H217 | zenon_intro zenon_H218 ]. % 23.54/23.72 cut (((op2 (e23) (e22)) = (op2 (e23) (e22))) = ((op2 (e22) (e22)) = (op2 (e23) (e22)))). % 23.54/23.72 intro zenon_D_pnotp. % 23.54/23.72 apply zenon_H22e. % 23.54/23.72 rewrite <- zenon_D_pnotp. % 23.54/23.72 exact zenon_H217. % 23.54/23.72 cut (((op2 (e23) (e22)) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H218]. % 23.54/23.72 cut (((op2 (e23) (e22)) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H22f]. % 23.54/23.72 congruence. % 23.54/23.72 cut (((op2 (e23) (e22)) = (e22)) = ((op2 (e23) (e22)) = (op2 (e22) (e22)))). % 23.54/23.72 intro zenon_D_pnotp. % 23.54/23.72 apply zenon_H22f. % 23.54/23.72 rewrite <- zenon_D_pnotp. % 23.54/23.72 exact zenon_H22d. % 23.54/23.72 cut (((e22) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H230]. % 23.54/23.72 cut (((op2 (e23) (e22)) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H218]. % 23.54/23.72 congruence. % 23.54/23.72 apply zenon_H218. apply refl_equal. % 23.54/23.72 apply zenon_H230. apply sym_equal. exact zenon_H16f. % 23.54/23.72 apply zenon_H218. apply refl_equal. % 23.54/23.72 apply zenon_H218. apply refl_equal. % 23.54/23.72 (* end of lemma zenon_L161_ *) % 23.54/23.72 assert (zenon_L162_ : ((op2 (e23) (e22)) = (e22)) -> ((op2 (e23) (e21)) = (e22)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> False). % 23.54/23.72 do 0 intro. intros zenon_H22d zenon_H1fe zenon_H231. % 23.54/23.72 elim (classic ((op2 (e23) (e22)) = (op2 (e23) (e22)))); [ zenon_intro zenon_H217 | zenon_intro zenon_H218 ]. % 23.54/23.72 cut (((op2 (e23) (e22)) = (op2 (e23) (e22))) = ((op2 (e23) (e21)) = (op2 (e23) (e22)))). % 23.54/23.72 intro zenon_D_pnotp. % 23.54/23.72 apply zenon_H231. % 23.54/23.72 rewrite <- zenon_D_pnotp. % 23.54/23.72 exact zenon_H217. % 23.54/23.72 cut (((op2 (e23) (e22)) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H218]. % 23.54/23.72 cut (((op2 (e23) (e22)) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H232]. % 23.54/23.72 congruence. % 23.54/23.72 cut (((op2 (e23) (e22)) = (e22)) = ((op2 (e23) (e22)) = (op2 (e23) (e21)))). % 23.54/23.72 intro zenon_D_pnotp. % 23.54/23.72 apply zenon_H232. % 23.54/23.72 rewrite <- zenon_D_pnotp. % 23.54/23.72 exact zenon_H22d. % 23.54/23.72 cut (((e22) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H233]. % 23.54/23.72 cut (((op2 (e23) (e22)) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H218]. % 23.54/23.72 congruence. % 23.54/23.72 apply zenon_H218. apply refl_equal. % 23.54/23.72 apply zenon_H233. apply sym_equal. exact zenon_H1fe. % 23.54/23.72 apply zenon_H218. apply refl_equal. % 23.54/23.72 apply zenon_H218. apply refl_equal. % 23.54/23.72 (* end of lemma zenon_L162_ *) % 23.54/23.72 assert (zenon_L163_ : (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> ((e20) = (op2 (e23) (e23))) -> ((e22) = (op2 (op2 (e23) (e23)) (e23))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e21)) = (e22))) -> ((op2 (e22) (e20)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((op2 (e23) (e22)) = (e22)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> False). % 23.54/23.72 do 0 intro. intros zenon_H200 zenon_H14 zenon_H14e zenon_H1f5 zenon_H17e zenon_H1d0 zenon_H1cf zenon_H22d zenon_H231. % 23.54/23.72 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H1f6 | zenon_intro zenon_H201 ]. % 23.54/23.72 apply (zenon_L138_); trivial. % 23.54/23.72 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H181 | zenon_intro zenon_H202 ]. % 23.54/23.72 exact (zenon_H17e zenon_H181). % 23.54/23.72 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H1fe ]. % 23.54/23.72 apply (zenon_L127_); trivial. % 23.54/23.72 apply (zenon_L162_); trivial. % 23.54/23.72 (* end of lemma zenon_L163_ *) % 23.54/23.72 assert (zenon_L164_ : ((~((op2 (e22) (e22)) = (e20)))\/((op2 (e22) (e20)) = (e22))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((e20) = (op2 (e23) (e23))) -> (~((op2 (e21) (e21)) = (e22))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (e23))) -> ((e22) = (op2 (op2 (e23) (e23)) (e23))) -> ((e21) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e22)) = (e22)) -> ((~((op2 (e22) (e22)) = (e22)))\/((op2 (e22) (e22)) = (e22))) -> False). % 23.54/23.72 do 0 intro. intros zenon_H1d3 zenon_H1f5 zenon_H14 zenon_H17e zenon_H1cf zenon_H231 zenon_H200 zenon_H1c2 zenon_H1c5 zenon_H14e zenon_H189 zenon_H1be zenon_H22e zenon_H22d zenon_H222. % 23.54/23.72 apply (zenon_or_s _ _ zenon_H1d3); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H1d0 ]. % 23.54/23.72 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H16f ]. % 23.54/23.72 apply (zenon_L124_); trivial. % 23.54/23.72 apply (zenon_L161_); trivial. % 23.54/23.72 apply (zenon_L163_); trivial. % 23.54/23.72 (* end of lemma zenon_L164_ *) % 23.54/23.72 assert (zenon_L165_ : ((~((op2 (e21) (e21)) = (e20)))\/((op2 (e21) (e20)) = (e21))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((~((op2 (e22) (e22)) = (e20)))\/((op2 (e22) (e20)) = (e22))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((e20) = (op2 (e23) (e23))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (e23))) -> ((e22) = (op2 (op2 (e23) (e23)) (e23))) -> ((e21) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e22)) = (e22)) -> ((~((op2 (e22) (e22)) = (e22)))\/((op2 (e22) (e22)) = (e22))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((e20) = (e21))) -> ((op2 (e20) (e20)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((~((op2 (e21) (e21)) = (e22)))\/((op2 (e21) (e22)) = (e21))) -> False). % 23.54/23.72 do 0 intro. intros zenon_H19f zenon_H19b zenon_H1d3 zenon_H1f5 zenon_H14 zenon_H1cf zenon_H231 zenon_H200 zenon_H1c2 zenon_H1c5 zenon_H14e zenon_H189 zenon_H1be zenon_H22e zenon_H22d zenon_H222 zenon_H191 zenon_H18d zenon_H182 zenon_H1a zenon_H164 zenon_H19e. % 23.54/23.72 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_H192 | zenon_intro zenon_H168 ]. % 23.54/23.72 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H17e | zenon_intro zenon_H183 ]. % 23.54/23.72 apply (zenon_L164_); trivial. % 23.54/23.72 apply (zenon_L110_); trivial. % 23.54/23.72 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H17e | zenon_intro zenon_H183 ]. % 23.54/23.72 apply (zenon_L164_); trivial. % 23.54/23.72 apply (zenon_L111_); trivial. % 23.54/23.72 (* end of lemma zenon_L165_ *) % 23.54/23.72 assert (zenon_L166_ : (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> ((op2 (e21) (e21)) = (e21)) -> ((op2 (e21) (e22)) = (e21)) -> False). % 23.54/23.72 do 0 intro. intros zenon_H234 zenon_H19a zenon_H183. % 23.54/23.72 cut (((op2 (e21) (e21)) = (e21)) = ((op2 (e21) (e21)) = (op2 (e21) (e22)))). % 23.54/23.72 intro zenon_D_pnotp. % 23.54/23.72 apply zenon_H234. % 23.54/23.72 rewrite <- zenon_D_pnotp. % 23.54/23.72 exact zenon_H19a. % 23.54/23.72 cut (((e21) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H19c]. % 23.54/23.72 cut (((op2 (e21) (e21)) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H225]. % 23.54/23.72 congruence. % 23.54/23.72 apply zenon_H225. apply refl_equal. % 23.54/23.72 apply zenon_H19c. apply sym_equal. exact zenon_H183. % 23.54/23.72 (* end of lemma zenon_L166_ *) % 23.54/23.72 assert (zenon_L167_ : ((~((op2 (e21) (e21)) = (e22)))\/((op2 (e21) (e22)) = (e21))) -> ((op2 (e21) (e21)) = (e21)) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> ((~((op2 (e22) (e22)) = (e22)))\/((op2 (e22) (e22)) = (e22))) -> ((op2 (e23) (e22)) = (e22)) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((e21) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> ((e22) = (op2 (op2 (e23) (e23)) (e23))) -> (~((op2 (e22) (e22)) = (e23))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((e20) = (op2 (e23) (e23))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((~((op2 (e22) (e22)) = (e20)))\/((op2 (e22) (e20)) = (e22))) -> False). % 23.54/23.73 do 0 intro. intros zenon_H19e zenon_H19a zenon_H234 zenon_H222 zenon_H22d zenon_H22e zenon_H1be zenon_H189 zenon_H14e zenon_H1c5 zenon_H1c2 zenon_H200 zenon_H231 zenon_H1cf zenon_H14 zenon_H1f5 zenon_H1d3. % 23.54/23.73 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H17e | zenon_intro zenon_H183 ]. % 23.54/23.73 apply (zenon_L164_); trivial. % 23.54/23.73 apply (zenon_L166_); trivial. % 23.54/23.73 (* end of lemma zenon_L167_ *) % 23.54/23.73 assert (zenon_L168_ : (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((e20) = (e21))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((~((op2 (e21) (e21)) = (e20)))\/((op2 (e21) (e20)) = (e21))) -> ((~((op2 (e22) (e22)) = (e20)))\/((op2 (e22) (e20)) = (e22))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((e20) = (op2 (e23) (e23))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (e23))) -> ((e22) = (op2 (op2 (e23) (e23)) (e23))) -> ((e21) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((~((op2 (e22) (e22)) = (e22)))\/((op2 (e22) (e22)) = (e22))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> ((~((op2 (e21) (e21)) = (e22)))\/((op2 (e21) (e22)) = (e21))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e22)) = (e22)) -> (~((op2 (e23) (e23)) = (e23))) -> False). % 23.54/23.73 do 0 intro. intros zenon_H1b6 zenon_H164 zenon_H182 zenon_H18d zenon_H191 zenon_H19b zenon_H19f zenon_H1d3 zenon_H1f5 zenon_H14 zenon_H1cf zenon_H231 zenon_H200 zenon_H1c2 zenon_H1c5 zenon_H14e zenon_H189 zenon_H1be zenon_H222 zenon_H234 zenon_H19e zenon_H22e zenon_H22d zenon_H1a6. % 23.54/23.73 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H1a | zenon_intro zenon_H1b7 ]. % 23.54/23.73 apply (zenon_L165_); trivial. % 23.54/23.73 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H19a | zenon_intro zenon_H1b8 ]. % 23.54/23.73 apply (zenon_L167_); trivial. % 23.54/23.73 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H16f | zenon_intro zenon_H1a2 ]. % 23.54/23.73 apply (zenon_L161_); trivial. % 23.54/23.73 exact (zenon_H1a6 zenon_H1a2). % 23.54/23.73 (* end of lemma zenon_L168_ *) % 23.54/23.73 assert (zenon_L169_ : ((~((op2 (e22) (e22)) = (e20)))\/((op2 (e22) (e20)) = (e22))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((e20) = (op2 (e23) (e23))) -> (~((op2 (e21) (e21)) = (e22))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> ((~((op2 (e22) (e22)) = (e23)))\/((op2 (e22) (e23)) = (e22))) -> (~((op2 (e22) (e23)) = (e22))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((e21) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> ((e22) = (op2 (op2 (e23) (e23)) (e23))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e22)) = (e22)) -> ((~((op2 (e22) (e22)) = (e22)))\/((op2 (e22) (e22)) = (e22))) -> False). % 23.54/23.73 do 0 intro. intros zenon_H1d3 zenon_H1f5 zenon_H14 zenon_H17e zenon_H1cf zenon_H231 zenon_H200 zenon_H1ca zenon_H1ad zenon_H1be zenon_H189 zenon_H14e zenon_H1c2 zenon_H22e zenon_H22d zenon_H222. % 23.54/23.73 apply (zenon_or_s _ _ zenon_H1d3); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H1d0 ]. % 23.54/23.73 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H16f ]. % 23.54/23.73 apply (zenon_L155_); trivial. % 23.54/23.73 apply (zenon_L161_); trivial. % 23.54/23.73 apply (zenon_L163_); trivial. % 23.54/23.73 (* end of lemma zenon_L169_ *) % 23.54/23.73 assert (zenon_L170_ : ((~((op2 (e21) (e21)) = (e22)))\/((op2 (e21) (e22)) = (e21))) -> ((op2 (e21) (e21)) = (e21)) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> ((~((op2 (e22) (e22)) = (e22)))\/((op2 (e22) (e22)) = (e22))) -> ((op2 (e23) (e22)) = (e22)) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> ((e22) = (op2 (op2 (e23) (e23)) (e23))) -> ((e21) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e23)) = (e22))) -> ((~((op2 (e22) (e22)) = (e23)))\/((op2 (e22) (e23)) = (e22))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((e20) = (op2 (e23) (e23))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((~((op2 (e22) (e22)) = (e20)))\/((op2 (e22) (e20)) = (e22))) -> False). % 23.54/23.73 do 0 intro. intros zenon_H19e zenon_H19a zenon_H234 zenon_H222 zenon_H22d zenon_H22e zenon_H1c2 zenon_H14e zenon_H189 zenon_H1be zenon_H1ad zenon_H1ca zenon_H200 zenon_H231 zenon_H1cf zenon_H14 zenon_H1f5 zenon_H1d3. % 23.54/23.73 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H17e | zenon_intro zenon_H183 ]. % 23.54/23.73 apply (zenon_L169_); trivial. % 23.54/23.73 apply (zenon_L166_); trivial. % 23.54/23.73 (* end of lemma zenon_L170_ *) % 23.54/23.73 assert (zenon_L171_ : (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((e20) = (e21))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((~((op2 (e21) (e21)) = (e20)))\/((op2 (e21) (e20)) = (e21))) -> ((~((op2 (e22) (e22)) = (e20)))\/((op2 (e22) (e20)) = (e22))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((e20) = (op2 (e23) (e23))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> ((~((op2 (e22) (e22)) = (e23)))\/((op2 (e22) (e23)) = (e22))) -> (~((op2 (e22) (e23)) = (e22))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((e21) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> ((e22) = (op2 (op2 (e23) (e23)) (e23))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> ((~((op2 (e22) (e22)) = (e22)))\/((op2 (e22) (e22)) = (e22))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> ((~((op2 (e21) (e21)) = (e22)))\/((op2 (e21) (e22)) = (e21))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e22)) = (e22)) -> (~((op2 (e23) (e23)) = (e23))) -> False). % 23.54/23.73 do 0 intro. intros zenon_H1b6 zenon_H164 zenon_H182 zenon_H18d zenon_H191 zenon_H19b zenon_H19f zenon_H1d3 zenon_H1f5 zenon_H14 zenon_H1cf zenon_H231 zenon_H200 zenon_H1ca zenon_H1ad zenon_H1be zenon_H189 zenon_H14e zenon_H1c2 zenon_H222 zenon_H234 zenon_H19e zenon_H22e zenon_H22d zenon_H1a6. % 23.54/23.73 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H1a | zenon_intro zenon_H1b7 ]. % 23.54/23.73 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_H192 | zenon_intro zenon_H168 ]. % 23.54/23.73 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H17e | zenon_intro zenon_H183 ]. % 23.54/23.73 apply (zenon_L169_); trivial. % 23.54/23.73 apply (zenon_L110_); trivial. % 23.54/23.73 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H17e | zenon_intro zenon_H183 ]. % 23.54/23.73 apply (zenon_L169_); trivial. % 23.54/23.73 apply (zenon_L111_); trivial. % 23.54/23.73 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H19a | zenon_intro zenon_H1b8 ]. % 23.54/23.73 apply (zenon_L170_); trivial. % 23.54/23.73 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H16f | zenon_intro zenon_H1a2 ]. % 23.54/23.73 apply (zenon_L161_); trivial. % 23.54/23.73 exact (zenon_H1a6 zenon_H1a2). % 23.54/23.73 (* end of lemma zenon_L171_ *) % 23.54/23.73 assert (zenon_L172_ : ((~((op2 (e22) (e22)) = (e23)))\/(~((op2 (e22) (e23)) = (e22)))) -> ((~((op2 (e22) (e22)) = (e23)))\/((op2 (e22) (e23)) = (e22))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> ((~((op2 (e21) (e21)) = (e22)))\/((op2 (e21) (e22)) = (e21))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((e20) = (e21))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> ((~((op2 (e22) (e22)) = (e22)))\/((op2 (e22) (e22)) = (e22))) -> ((op2 (e23) (e22)) = (e22)) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((e21) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> ((e22) = (op2 (op2 (e23) (e23)) (e23))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((e20) = (op2 (e23) (e23))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((~((op2 (e22) (e22)) = (e20)))\/((op2 (e22) (e20)) = (e22))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((~((op2 (e21) (e21)) = (e20)))\/((op2 (e21) (e20)) = (e21))) -> ((~((op2 (e23) (e23)) = (e23)))\/(~((op2 (e23) (e23)) = (e23)))) -> False). % 23.54/23.73 do 0 intro. intros zenon_H22c zenon_H1ca zenon_H1b6 zenon_H234 zenon_H19e zenon_H164 zenon_H182 zenon_H18d zenon_H191 zenon_H222 zenon_H22d zenon_H22e zenon_H1be zenon_H189 zenon_H14e zenon_H1c2 zenon_H200 zenon_H231 zenon_H1cf zenon_H14 zenon_H1f5 zenon_H1d3 zenon_H19b zenon_H19f zenon_H22b. % 23.54/23.73 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H1ad ]. % 23.54/23.73 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1a6 ]. % 23.54/23.73 apply (zenon_L168_); trivial. % 23.54/23.73 apply (zenon_L168_); trivial. % 23.54/23.73 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1a6 ]. % 23.54/23.73 apply (zenon_L171_); trivial. % 23.54/23.73 apply (zenon_L171_); trivial. % 23.54/23.73 (* end of lemma zenon_L172_ *) % 23.54/23.73 assert (zenon_L173_ : (((op2 (e23) (e22)) = (e22))/\(((~((op2 (e20) (e20)) = (e23)))\/(~((op2 (e20) (e23)) = (e20))))/\(((~((op2 (e21) (e21)) = (e23)))\/(~((op2 (e21) (e23)) = (e21))))/\(((~((op2 (e22) (e22)) = (e23)))\/(~((op2 (e22) (e23)) = (e22))))/\((~((op2 (e23) (e23)) = (e23)))\/(~((op2 (e23) (e23)) = (e23)))))))) -> ((~((op2 (e22) (e22)) = (e23)))\/((op2 (e22) (e23)) = (e22))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> ((~((op2 (e21) (e21)) = (e22)))\/((op2 (e21) (e22)) = (e21))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((e20) = (e21))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> ((~((op2 (e22) (e22)) = (e22)))\/((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((e21) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> ((e22) = (op2 (op2 (e23) (e23)) (e23))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((e20) = (op2 (e23) (e23))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((~((op2 (e22) (e22)) = (e20)))\/((op2 (e22) (e20)) = (e22))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((~((op2 (e21) (e21)) = (e20)))\/((op2 (e21) (e20)) = (e21))) -> False). % 23.54/23.73 do 0 intro. intros zenon_H235 zenon_H1ca zenon_H1b6 zenon_H234 zenon_H19e zenon_H164 zenon_H182 zenon_H18d zenon_H191 zenon_H222 zenon_H22e zenon_H1be zenon_H189 zenon_H14e zenon_H1c2 zenon_H200 zenon_H231 zenon_H1cf zenon_H14 zenon_H1f5 zenon_H1d3 zenon_H19b zenon_H19f. % 23.54/23.73 apply (zenon_and_s _ _ zenon_H235). zenon_intro zenon_H22d. zenon_intro zenon_H1f4. % 23.54/23.73 apply (zenon_and_s _ _ zenon_H1f4). zenon_intro zenon_H228. zenon_intro zenon_H227. % 23.54/23.73 apply (zenon_and_s _ _ zenon_H227). zenon_intro zenon_H22a. zenon_intro zenon_H229. % 23.54/23.73 apply (zenon_and_s _ _ zenon_H229). zenon_intro zenon_H22c. zenon_intro zenon_H22b. % 23.54/23.73 apply (zenon_L172_); trivial. % 23.54/23.73 (* end of lemma zenon_L173_ *) % 23.54/23.73 assert (zenon_L174_ : (((op2 (e23) (e23)) = (e23))/\(((~((op2 (e20) (e20)) = (e23)))\/(~((op2 (e20) (e23)) = (e20))))/\(((~((op2 (e21) (e21)) = (e23)))\/(~((op2 (e21) (e23)) = (e21))))/\(((~((op2 (e22) (e22)) = (e23)))\/(~((op2 (e22) (e23)) = (e22))))/\((~((op2 (e23) (e23)) = (e23)))\/(~((op2 (e23) (e23)) = (e23)))))))) -> False). % 23.54/23.73 do 0 intro. intros zenon_H236. % 23.54/23.73 apply (zenon_and_s _ _ zenon_H236). zenon_intro zenon_H1a2. zenon_intro zenon_H1f4. % 23.54/23.73 apply (zenon_and_s _ _ zenon_H1f4). zenon_intro zenon_H228. zenon_intro zenon_H227. % 23.54/23.73 apply (zenon_and_s _ _ zenon_H227). zenon_intro zenon_H22a. zenon_intro zenon_H229. % 23.54/23.73 apply (zenon_and_s _ _ zenon_H229). zenon_intro zenon_H22c. zenon_intro zenon_H22b. % 23.54/23.73 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1a6 ]. % 23.54/23.73 exact (zenon_H1a6 zenon_H1a2). % 23.54/23.73 exact (zenon_H1a6 zenon_H1a2). % 23.54/23.73 (* end of lemma zenon_L174_ *) % 23.54/23.73 assert (zenon_L175_ : (~((h4 (e11)) = (e21))) -> ((h4 (e11)) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> ((e21) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> False). % 23.54/23.73 do 0 intro. intros zenon_H237 zenon_H238 zenon_H189. % 23.54/23.73 cut (((h4 (e11)) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) = ((h4 (e11)) = (e21))). % 23.54/23.73 intro zenon_D_pnotp. % 23.54/23.73 apply zenon_H237. % 23.54/23.73 rewrite <- zenon_D_pnotp. % 23.54/23.73 exact zenon_H238. % 23.54/23.73 cut (((op2 (op2 (op2 (e23) (e23)) (e23)) (e23)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H239]. % 23.54/23.73 cut (((h4 (e11)) = (h4 (e11)))); [idtac | apply NNPP; zenon_intro zenon_H23a]. % 23.54/23.73 congruence. % 23.54/23.73 apply zenon_H23a. apply refl_equal. % 23.54/23.73 apply zenon_H239. apply sym_equal. exact zenon_H189. % 23.54/23.73 (* end of lemma zenon_L175_ *) % 23.54/23.73 assert (zenon_L176_ : (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e12)) = (e11)) -> ((op1 (e13) (e12)) = (e11)) -> False). % 23.54/23.73 do 0 intro. intros zenon_H23b zenon_H106 zenon_H23c. % 23.54/23.73 cut (((op1 (e10) (e12)) = (e11)) = ((op1 (e10) (e12)) = (op1 (e13) (e12)))). % 23.54/23.73 intro zenon_D_pnotp. % 23.54/23.73 apply zenon_H23b. % 23.54/23.73 rewrite <- zenon_D_pnotp. % 23.54/23.73 exact zenon_H106. % 23.54/23.73 cut (((e11) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H23d]. % 23.54/23.73 cut (((op1 (e10) (e12)) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H23e]. % 23.54/23.73 congruence. % 23.54/23.73 apply zenon_H23e. apply refl_equal. % 23.54/23.73 apply zenon_H23d. apply sym_equal. exact zenon_H23c. % 23.54/23.73 (* end of lemma zenon_L176_ *) % 23.54/23.73 assert (zenon_L177_ : (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e10)) = (e13)) -> ((op1 (e13) (e12)) = (e13)) -> False). % 23.54/23.73 do 0 intro. intros zenon_H23f zenon_H2b zenon_H240. % 23.54/23.73 cut (((op1 (e13) (e10)) = (e13)) = ((op1 (e13) (e10)) = (op1 (e13) (e12)))). % 23.54/23.73 intro zenon_D_pnotp. % 23.54/23.73 apply zenon_H23f. % 23.54/23.73 rewrite <- zenon_D_pnotp. % 23.54/23.73 exact zenon_H2b. % 23.54/23.73 cut (((e13) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H241]. % 23.54/23.73 cut (((op1 (e13) (e10)) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_Hef]. % 23.54/23.73 congruence. % 23.54/23.73 apply zenon_Hef. apply refl_equal. % 23.54/23.73 apply zenon_H241. apply sym_equal. exact zenon_H240. % 23.54/23.73 (* end of lemma zenon_L177_ *) % 23.54/23.73 assert (zenon_L178_ : (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (e10) (e12)) = (e11)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((op1 (e10) (e10)) = (e10)) -> (~((e10) = (e11))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> ((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((e11) = (op1 (op1 (op1 (e13) (e13)) (e13)) (e13))) -> ((e12) = (op1 (op1 (e13) (e13)) (e13))) -> (~((op1 (e12) (e12)) = (e13))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (e13) (e13))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e10)) = (e13)) -> False). % 23.54/23.73 do 0 intro. intros zenon_H242 zenon_H112 zenon_H106 zenon_H23b zenon_H94 zenon_H62 zenon_H2e zenon_H80 zenon_H8b zenon_H8f zenon_H120 zenon_H12c zenon_Hbc zenon_H87 zenon_H4d zenon_Hc3 zenon_Hc0 zenon_Hfe zenon_H12f zenon_Hc9 zenon_H28 zenon_Hf3 zenon_Hce zenon_H9a zenon_H9d zenon_H23f zenon_H2b. % 23.54/23.73 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_H113 | zenon_intro zenon_H243 ]. % 23.54/23.73 apply (zenon_L64_); trivial. % 23.54/23.73 apply (zenon_or_s _ _ zenon_H243); [ zenon_intro zenon_H23c | zenon_intro zenon_H244 ]. % 23.54/23.73 apply (zenon_L176_); trivial. % 23.54/23.73 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_H12b | zenon_intro zenon_H240 ]. % 23.54/23.73 apply (zenon_L83_); trivial. % 23.54/23.73 apply (zenon_L177_); trivial. % 23.54/23.73 (* end of lemma zenon_L178_ *) % 23.54/23.73 assert (zenon_L179_ : (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e22)) = (e21)) -> ((op2 (e23) (e22)) = (e21)) -> False). % 23.54/23.73 do 0 intro. intros zenon_H245 zenon_H208 zenon_H246. % 23.54/23.73 cut (((op2 (e20) (e22)) = (e21)) = ((op2 (e20) (e22)) = (op2 (e23) (e22)))). % 23.54/23.73 intro zenon_D_pnotp. % 23.54/23.73 apply zenon_H245. % 23.54/23.73 rewrite <- zenon_D_pnotp. % 23.54/23.73 exact zenon_H208. % 23.54/23.73 cut (((e21) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H247]. % 23.54/23.73 cut (((op2 (e20) (e22)) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H248]. % 23.54/23.73 congruence. % 23.54/23.73 apply zenon_H248. apply refl_equal. % 23.54/23.73 apply zenon_H247. apply sym_equal. exact zenon_H246. % 23.54/23.73 (* end of lemma zenon_L179_ *) % 23.54/23.73 assert (zenon_L180_ : (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e20)) = (e23)) -> ((op2 (e23) (e22)) = (e23)) -> False). % 23.54/23.73 do 0 intro. intros zenon_H249 zenon_H17 zenon_H24a. % 23.54/23.73 cut (((op2 (e23) (e20)) = (e23)) = ((op2 (e23) (e20)) = (op2 (e23) (e22)))). % 23.54/23.73 intro zenon_D_pnotp. % 23.54/23.73 apply zenon_H249. % 23.54/23.73 rewrite <- zenon_D_pnotp. % 23.54/23.73 exact zenon_H17. % 23.54/23.73 cut (((e23) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H24b]. % 23.54/23.73 cut (((op2 (e23) (e20)) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1f1]. % 23.54/23.73 congruence. % 23.54/23.73 apply zenon_H1f1. apply refl_equal. % 23.54/23.73 apply zenon_H24b. apply sym_equal. exact zenon_H24a. % 23.54/23.73 (* end of lemma zenon_L180_ *) % 23.54/23.73 assert (zenon_L181_ : (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((op2 (e20) (e22)) = (e21)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((~((op2 (e21) (e21)) = (e22)))\/((op2 (e21) (e22)) = (e21))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((op2 (e20) (e20)) = (e20)) -> (~((e20) = (e21))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> ((~((op2 (e22) (e22)) = (e22)))\/((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((e21) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> ((e22) = (op2 (op2 (e23) (e23)) (e23))) -> (~((op2 (e22) (e22)) = (e23))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((e20) = (op2 (e23) (e23))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((~((op2 (e22) (e22)) = (e20)))\/((op2 (e22) (e20)) = (e22))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((~((op2 (e21) (e21)) = (e20)))\/((op2 (e21) (e20)) = (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e20)) = (e23)) -> False). % 23.54/23.73 do 0 intro. intros zenon_H24c zenon_H214 zenon_H208 zenon_H245 zenon_H19e zenon_H164 zenon_H1a zenon_H182 zenon_H18d zenon_H191 zenon_H222 zenon_H22e zenon_H1be zenon_H189 zenon_H14e zenon_H1c5 zenon_H1c2 zenon_H200 zenon_H231 zenon_H1cf zenon_H14 zenon_H1f5 zenon_H1d3 zenon_H19b zenon_H19f zenon_H249 zenon_H17. % 23.54/23.73 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_H215 | zenon_intro zenon_H24d ]. % 23.54/23.73 apply (zenon_L146_); trivial. % 23.54/23.73 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H246 | zenon_intro zenon_H24e ]. % 23.54/23.73 apply (zenon_L179_); trivial. % 23.54/23.73 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_H22d | zenon_intro zenon_H24a ]. % 23.54/23.73 apply (zenon_L165_); trivial. % 23.54/23.73 apply (zenon_L180_); trivial. % 23.54/23.73 (* end of lemma zenon_L181_ *) % 23.54/23.73 assert (zenon_L182_ : ((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12))) -> ((e10) = (op1 (e13) (e13))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((~((op2 (e21) (e21)) = (e20)))\/((op2 (e21) (e20)) = (e21))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((~((op2 (e22) (e22)) = (e20)))\/((op2 (e22) (e20)) = (e22))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (e23))) -> ((e22) = (op2 (op2 (e23) (e23)) (e23))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((~((op2 (e22) (e22)) = (e22)))\/((op2 (e22) (e22)) = (e22))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((e20) = (e21))) -> ((op2 (e20) (e20)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((~((op2 (e21) (e21)) = (e22)))\/((op2 (e21) (e22)) = (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e20)) = (e23)) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op1 (e10) (e10)) = (e11))) -> (~((h4 (op1 (e10) (e11))) = (op2 (h4 (e10)) (h4 (e11))))) -> ((e21) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> ((h4 (e11)) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> ((e20) = (op2 (e23) (e23))) -> ((h4 (e10)) = (op2 (e23) (e23))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((op1 (e10) (e10)) = (e10)) -> (~((e10) = (e11))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> ((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((e11) = (op1 (op1 (op1 (e13) (e13)) (e13)) (e13))) -> ((e12) = (op1 (op1 (e13) (e13)) (e13))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op2 (e20) (e20)) = (e21))) -> ((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))) -> False). % 23.54/23.73 do 0 intro. intros zenon_Hc8 zenon_H28 zenon_H21f zenon_H1a8 zenon_H214 zenon_H245 zenon_H19f zenon_H19b zenon_H1d3 zenon_H1f5 zenon_H1cf zenon_H231 zenon_H200 zenon_H1c2 zenon_H1c5 zenon_H14e zenon_H1be zenon_H22e zenon_H222 zenon_H191 zenon_H18d zenon_H182 zenon_H1a zenon_H164 zenon_H19e zenon_H249 zenon_H17 zenon_H24c zenon_H5b zenon_H24f zenon_H189 zenon_H238 zenon_H14 zenon_H3b zenon_H242 zenon_H23f zenon_H94 zenon_H62 zenon_H2e zenon_H80 zenon_H8b zenon_H8f zenon_H120 zenon_H12c zenon_Hbc zenon_H87 zenon_H4d zenon_Hc0 zenon_Hfe zenon_H12f zenon_Hc9 zenon_Hf3 zenon_Hce zenon_H9a zenon_H9d zenon_H23b zenon_H112 zenon_Ha6 zenon_H11d zenon_H15d zenon_H27. % 23.54/23.73 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Ha5 ]. % 23.54/23.73 apply (zenon_or_s _ _ zenon_H27); [ zenon_intro zenon_H2a | zenon_intro zenon_H2b ]. % 23.54/23.73 apply zenon_H2a. apply sym_equal. exact zenon_H28. % 23.54/23.73 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H162 | zenon_intro zenon_H220 ]. % 23.54/23.73 exact (zenon_H15d zenon_H162). % 23.54/23.73 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H21 | zenon_intro zenon_H221 ]. % 23.54/23.73 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H60 | zenon_intro zenon_H11e ]. % 23.54/23.73 exact (zenon_H5b zenon_H60). % 23.54/23.73 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H35 | zenon_intro zenon_H11f ]. % 23.54/23.73 cut (((h4 (e11)) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) = ((h4 (op1 (e10) (e11))) = (op2 (h4 (e10)) (h4 (e11))))). % 23.54/23.73 intro zenon_D_pnotp. % 23.54/23.73 apply zenon_H24f. % 23.54/23.73 rewrite <- zenon_D_pnotp. % 23.54/23.73 exact zenon_H238. % 23.54/23.73 cut (((op2 (op2 (op2 (e23) (e23)) (e23)) (e23)) = (op2 (h4 (e10)) (h4 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H250]. % 23.54/23.73 cut (((h4 (e11)) = (h4 (op1 (e10) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H251]. % 23.54/23.73 congruence. % 23.54/23.73 elim (classic ((h4 (op1 (e10) (e11))) = (h4 (op1 (e10) (e11))))); [ zenon_intro zenon_H252 | zenon_intro zenon_H253 ]. % 23.54/23.73 cut (((h4 (op1 (e10) (e11))) = (h4 (op1 (e10) (e11)))) = ((h4 (e11)) = (h4 (op1 (e10) (e11))))). % 23.54/23.73 intro zenon_D_pnotp. % 23.54/23.73 apply zenon_H251. % 23.54/23.73 rewrite <- zenon_D_pnotp. % 23.54/23.73 exact zenon_H252. % 23.54/23.73 cut (((h4 (op1 (e10) (e11))) = (h4 (op1 (e10) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H253]. % 23.54/23.73 cut (((h4 (op1 (e10) (e11))) = (h4 (e11)))); [idtac | apply NNPP; zenon_intro zenon_H254]. % 23.54/23.73 congruence. % 23.54/23.73 cut (((op1 (e10) (e11)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H255]. % 23.54/23.73 congruence. % 23.54/23.73 exact (zenon_H255 zenon_H35). % 23.54/23.73 apply zenon_H253. apply refl_equal. % 23.54/23.73 apply zenon_H253. apply refl_equal. % 23.54/23.73 elim (classic ((op2 (h4 (e10)) (h4 (e11))) = (op2 (h4 (e10)) (h4 (e11))))); [ zenon_intro zenon_H256 | zenon_intro zenon_H257 ]. % 23.54/23.73 cut (((op2 (h4 (e10)) (h4 (e11))) = (op2 (h4 (e10)) (h4 (e11)))) = ((op2 (op2 (op2 (e23) (e23)) (e23)) (e23)) = (op2 (h4 (e10)) (h4 (e11))))). % 23.54/23.73 intro zenon_D_pnotp. % 23.54/23.73 apply zenon_H250. % 23.54/23.73 rewrite <- zenon_D_pnotp. % 23.54/23.73 exact zenon_H256. % 23.54/23.73 cut (((op2 (h4 (e10)) (h4 (e11))) = (op2 (h4 (e10)) (h4 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H257]. % 23.54/23.73 cut (((op2 (h4 (e10)) (h4 (e11))) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H258]. % 23.54/23.73 congruence. % 23.54/23.73 cut (((op2 (e20) (e21)) = (e21)) = ((op2 (h4 (e10)) (h4 (e11))) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23)))). % 23.54/23.73 intro zenon_D_pnotp. % 23.54/23.73 apply zenon_H258. % 23.54/23.73 rewrite <- zenon_D_pnotp. % 23.54/23.73 exact zenon_H21. % 23.54/23.73 cut (((e21) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H259]. % 23.54/23.73 cut (((op2 (e20) (e21)) = (op2 (h4 (e10)) (h4 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H25a]. % 23.54/23.73 congruence. % 23.54/23.73 elim (classic ((op2 (h4 (e10)) (h4 (e11))) = (op2 (h4 (e10)) (h4 (e11))))); [ zenon_intro zenon_H256 | zenon_intro zenon_H257 ]. % 23.54/23.73 cut (((op2 (h4 (e10)) (h4 (e11))) = (op2 (h4 (e10)) (h4 (e11)))) = ((op2 (e20) (e21)) = (op2 (h4 (e10)) (h4 (e11))))). % 23.54/23.73 intro zenon_D_pnotp. % 23.54/23.73 apply zenon_H25a. % 23.54/23.73 rewrite <- zenon_D_pnotp. % 23.54/23.73 exact zenon_H256. % 23.54/23.73 cut (((op2 (h4 (e10)) (h4 (e11))) = (op2 (h4 (e10)) (h4 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H257]. % 23.54/23.73 cut (((op2 (h4 (e10)) (h4 (e11))) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H25b]. % 23.54/23.73 congruence. % 23.54/23.73 cut (((h4 (e11)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H237]. % 23.54/23.73 cut (((h4 (e10)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H3a]. % 23.54/23.73 congruence. % 23.54/23.73 apply (zenon_L11_); trivial. % 23.54/23.73 apply (zenon_L175_); trivial. % 23.54/23.73 apply zenon_H257. apply refl_equal. % 23.54/23.73 apply zenon_H257. apply refl_equal. % 23.54/23.73 exact (zenon_H259 zenon_H189). % 23.54/23.73 apply zenon_H257. apply refl_equal. % 23.54/23.73 apply zenon_H257. apply refl_equal. % 23.54/23.73 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_H106 | zenon_intro zenon_H10c ]. % 23.54/23.73 apply (zenon_L178_); trivial. % 23.54/23.73 apply (zenon_L62_); trivial. % 23.54/23.73 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H208 | zenon_intro zenon_H20e ]. % 23.54/23.73 apply (zenon_L181_); trivial. % 23.54/23.73 apply (zenon_L144_); trivial. % 23.54/23.73 apply (zenon_L35_); trivial. % 23.54/23.73 (* end of lemma zenon_L182_ *) % 23.54/23.73 assert (zenon_L183_ : (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> ((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))) -> (~((op2 (e20) (e20)) = (e21))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> ((h4 (e10)) = (op2 (e23) (e23))) -> ((e20) = (op2 (e23) (e23))) -> ((h4 (e11)) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> ((e21) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> (~((h4 (op1 (e10) (e11))) = (op2 (h4 (e10)) (h4 (e11))))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> ((op2 (e23) (e20)) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((~((op2 (e21) (e21)) = (e22)))\/((op2 (e21) (e22)) = (e21))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((op2 (e20) (e20)) = (e20)) -> (~((e20) = (e21))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> ((~((op2 (e22) (e22)) = (e22)))\/((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((e22) = (op2 (op2 (e23) (e23)) (e23))) -> (~((op2 (e22) (e22)) = (e23))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((~((op2 (e22) (e22)) = (e20)))\/((op2 (e22) (e20)) = (e22))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((~((op2 (e21) (e21)) = (e20)))\/((op2 (e21) (e20)) = (e21))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> ((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12))) -> ((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10))) -> (~((op1 (e10) (e10)) = (e11))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((e10) = (e11))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((e11) = (op1 (op1 (op1 (e13) (e13)) (e13)) (e13))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> ((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (e13)) (e13))) -> ((e10) = (op1 (e13) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> False). % 23.54/23.73 do 0 intro. intros zenon_Hb4 zenon_H27 zenon_H15d zenon_H11d zenon_H112 zenon_H23b zenon_Hce zenon_Hf3 zenon_Hc9 zenon_H12f zenon_Hfe zenon_Hc0 zenon_Hbc zenon_H12c zenon_H120 zenon_H23f zenon_H242 zenon_H3b zenon_H14 zenon_H238 zenon_H189 zenon_H24f zenon_H24c zenon_H17 zenon_H249 zenon_H19e zenon_H164 zenon_H1a zenon_H182 zenon_H18d zenon_H191 zenon_H222 zenon_H22e zenon_H1be zenon_H14e zenon_H1c5 zenon_H1c2 zenon_H200 zenon_H231 zenon_H1cf zenon_H1f5 zenon_H1d3 zenon_H19b zenon_H19f zenon_H245 zenon_H214 zenon_H1a8 zenon_H21f zenon_Hc8 zenon_H5a zenon_H5b zenon_H4c zenon_H5c zenon_H9d zenon_H9a zenon_H8f zenon_H8b zenon_H7b zenon_H6f zenon_H68 zenon_H96 zenon_H80 zenon_H86 zenon_H87 zenon_H95 zenon_H62 zenon_H94 zenon_H9e zenon_Hb1 zenon_H75 zenon_Ha6 zenon_H4d zenon_H28 zenon_H53. % 23.54/23.73 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H2e | zenon_intro zenon_Hb5 ]. % 23.54/23.73 apply (zenon_L182_); trivial. % 23.54/23.73 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_H99 | zenon_intro zenon_Hb6 ]. % 23.54/23.73 exact (zenon_H96 zenon_H99). % 23.54/23.73 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_H6d | zenon_intro zenon_Ha0 ]. % 23.54/23.73 apply (zenon_L33_); trivial. % 23.54/23.73 apply (zenon_L37_); trivial. % 23.54/23.73 (* end of lemma zenon_L183_ *) % 23.54/23.73 assert (zenon_L184_ : (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> ((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((~((op2 (e21) (e21)) = (e20)))\/((op2 (e21) (e20)) = (e21))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((~((op2 (e22) (e22)) = (e20)))\/((op2 (e22) (e20)) = (e22))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (e23))) -> ((e22) = (op2 (op2 (e23) (e23)) (e23))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((~((op2 (e22) (e22)) = (e22)))\/((op2 (e22) (e22)) = (e22))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((e20) = (e21))) -> ((op2 (e20) (e20)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((~((op2 (e21) (e21)) = (e22)))\/((op2 (e21) (e22)) = (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e20)) = (e23)) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((h4 (op1 (e10) (e11))) = (op2 (h4 (e10)) (h4 (e11))))) -> ((e21) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> ((h4 (e11)) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> ((e20) = (op2 (e23) (e23))) -> ((h4 (e10)) = (op2 (e23) (e23))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op2 (e20) (e20)) = (e21))) -> ((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))) -> ((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10))) -> (~((op1 (e10) (e11)) = (e10))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10))) -> ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((e10) = (e11))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((e11) = (op1 (op1 (op1 (e13) (e13)) (e13)) (e13))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> ((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (e13)) (e13))) -> ((e10) = (op1 (e13) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> False). % 23.54/23.73 do 0 intro. intros zenon_Hb4 zenon_Hc8 zenon_H21f zenon_H1a8 zenon_H214 zenon_H245 zenon_H19f zenon_H19b zenon_H1d3 zenon_H1f5 zenon_H1cf zenon_H231 zenon_H200 zenon_H1c2 zenon_H1c5 zenon_H14e zenon_H1be zenon_H22e zenon_H222 zenon_H191 zenon_H18d zenon_H182 zenon_H1a zenon_H164 zenon_H19e zenon_H249 zenon_H17 zenon_H24c zenon_H24f zenon_H189 zenon_H238 zenon_H14 zenon_H3b zenon_H242 zenon_H23f zenon_H120 zenon_H12c zenon_Hbc zenon_Hc0 zenon_Hfe zenon_H12f zenon_Hc9 zenon_Hf3 zenon_Hce zenon_H23b zenon_H112 zenon_H11d zenon_H15d zenon_H27 zenon_Hb8 zenon_Hb7 zenon_H5c zenon_H4c zenon_H5a zenon_H9d zenon_H9a zenon_H8f zenon_H8b zenon_H7b zenon_H6f zenon_H68 zenon_H96 zenon_H80 zenon_H86 zenon_H87 zenon_H95 zenon_H62 zenon_H94 zenon_H9e zenon_Hb1 zenon_H75 zenon_Ha6 zenon_H4d zenon_H28 zenon_H53. % 23.54/23.73 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H2e | zenon_intro zenon_Hb5 ]. % 23.54/23.73 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H5b | zenon_intro zenon_Hb9 ]. % 23.54/23.73 apply (zenon_L182_); trivial. % 23.54/23.73 exact (zenon_Hb7 zenon_Hb9). % 23.54/23.73 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_H99 | zenon_intro zenon_Hb6 ]. % 23.54/23.73 exact (zenon_H96 zenon_H99). % 23.54/23.73 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_H6d | zenon_intro zenon_Ha0 ]. % 23.54/23.73 apply (zenon_L39_); trivial. % 23.54/23.73 apply (zenon_L37_); trivial. % 23.54/23.73 (* end of lemma zenon_L184_ *) % 23.54/23.73 assert (zenon_L185_ : ((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10)))) -> ((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10))) -> ((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))) -> (~((op2 (e20) (e20)) = (e21))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((e12) = (op1 (op1 (e13) (e13)) (e13))) -> ((e11) = (op1 (op1 (op1 (e13) (e13)) (e13)) (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> ((h4 (e10)) = (op2 (e23) (e23))) -> ((e20) = (op2 (e23) (e23))) -> ((h4 (e11)) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> ((e21) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> (~((h4 (op1 (e10) (e11))) = (op2 (h4 (e10)) (h4 (e11))))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> ((op2 (e23) (e20)) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((~((op2 (e21) (e21)) = (e22)))\/((op2 (e21) (e22)) = (e21))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((op2 (e20) (e20)) = (e20)) -> (~((e20) = (e21))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> ((~((op2 (e22) (e22)) = (e22)))\/((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((e22) = (op2 (op2 (e23) (e23)) (e23))) -> (~((op2 (e22) (e22)) = (e23))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((~((op2 (e22) (e22)) = (e20)))\/((op2 (e22) (e20)) = (e22))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((~((op2 (e21) (e21)) = (e20)))\/((op2 (e21) (e20)) = (e21))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> ((e10) = (op1 (e13) (e13))) -> ((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11)))) -> False). % 23.54/23.73 do 0 intro. intros zenon_Hba zenon_Hb8 zenon_Hb4 zenon_Hb1 zenon_H5a zenon_H53 zenon_H4c zenon_H5c zenon_H7b zenon_H75 zenon_H6f zenon_H68 zenon_H86 zenon_H95 zenon_H9e zenon_H27 zenon_H15d zenon_H11d zenon_Ha6 zenon_H112 zenon_H23b zenon_H9d zenon_H9a zenon_Hce zenon_Hf3 zenon_Hc9 zenon_H12f zenon_Hfe zenon_Hc0 zenon_H4d zenon_H87 zenon_Hbc zenon_H12c zenon_H120 zenon_H8f zenon_H8b zenon_H80 zenon_H62 zenon_H94 zenon_H23f zenon_H242 zenon_H3b zenon_H14 zenon_H238 zenon_H189 zenon_H24f zenon_H24c zenon_H17 zenon_H249 zenon_H19e zenon_H164 zenon_H1a zenon_H182 zenon_H18d zenon_H191 zenon_H222 zenon_H22e zenon_H1be zenon_H14e zenon_H1c5 zenon_H1c2 zenon_H200 zenon_H231 zenon_H1cf zenon_H1f5 zenon_H1d3 zenon_H19b zenon_H19f zenon_H245 zenon_H214 zenon_H1a8 zenon_H21f zenon_H28 zenon_Hc8 zenon_Hbb. % 23.54/23.73 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H5b | zenon_intro zenon_Hb7 ]. % 23.54/23.73 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H96 | zenon_intro zenon_H96 ]. % 23.54/23.73 apply (zenon_L183_); trivial. % 23.54/23.73 apply (zenon_L183_); trivial. % 23.54/23.73 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H96 | zenon_intro zenon_H96 ]. % 23.54/23.73 apply (zenon_L184_); trivial. % 23.54/23.73 apply (zenon_L184_); trivial. % 23.54/23.73 (* end of lemma zenon_L185_ *) % 23.54/23.73 assert (zenon_L186_ : ((~((op2 (e22) (e22)) = (e23)))\/((op2 (e22) (e23)) = (e22))) -> ((e20) = (op2 (e23) (e23))) -> ((((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e11) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e11) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e11) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e12) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e12) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e12) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e13) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e13) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e13) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))\/(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))))))))))))))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10))) -> (~((op2 (e20) (e20)) = (e21))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((e12) = (op1 (op1 (e13) (e13)) (e13))) -> ((e11) = (op1 (op1 (op1 (e13) (e13)) (e13)) (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> ((h4 (e10)) = (op2 (e23) (e23))) -> ((h4 (e11)) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> ((e21) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> (~((h4 (op1 (e10) (e11))) = (op2 (h4 (e10)) (h4 (e11))))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((~((op2 (e21) (e21)) = (e22)))\/((op2 (e21) (e22)) = (e21))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((op2 (e20) (e20)) = (e20)) -> (~((e20) = (e21))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> ((~((op2 (e22) (e22)) = (e22)))\/((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((e22) = (op2 (op2 (e23) (e23)) (e23))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((~((op2 (e22) (e22)) = (e20)))\/((op2 (e22) (e20)) = (e22))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((~((op2 (e21) (e21)) = (e20)))\/((op2 (e21) (e20)) = (e21))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> ((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12))) -> ((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))) -> ((e10) = (op1 (e13) (e13))) -> ((~((op2 (e23) (e23)) = (e20)))\/((op2 (e23) (e20)) = (e23))) -> False). % 23.54/23.73 do 0 intro. intros zenon_H1ca zenon_H14 zenon_H135 zenon_H132 zenon_H121 zenon_H101 zenon_H107 zenon_Hf9 zenon_H11a zenon_H10f zenon_Heb zenon_He7 zenon_Hdb zenon_Hd1 zenon_Hcf zenon_Hb8 zenon_Hb4 zenon_Hb1 zenon_H5a zenon_H53 zenon_H4c zenon_H5c zenon_H7b zenon_H75 zenon_H6f zenon_H68 zenon_H86 zenon_H95 zenon_H9e zenon_H15d zenon_H11d zenon_Ha6 zenon_H112 zenon_H23b zenon_H9d zenon_H9a zenon_Hce zenon_Hf3 zenon_Hc9 zenon_H12f zenon_Hfe zenon_Hc0 zenon_H4d zenon_H87 zenon_Hbc zenon_H12c zenon_H120 zenon_H8f zenon_H8b zenon_H80 zenon_H62 zenon_H94 zenon_H23f zenon_H242 zenon_H3b zenon_H238 zenon_H189 zenon_H24f zenon_H24c zenon_H249 zenon_H19e zenon_H164 zenon_H1a zenon_H182 zenon_H18d zenon_H191 zenon_H222 zenon_H22e zenon_H1be zenon_H14e zenon_H1c2 zenon_H200 zenon_H231 zenon_H1cf zenon_H1f5 zenon_H1d3 zenon_H19b zenon_H19f zenon_H245 zenon_H214 zenon_H1a8 zenon_H21f zenon_Hc8 zenon_H27 zenon_H28 zenon_H13. % 23.54/23.73 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H1a7 ]. % 23.54/23.73 apply (zenon_or_s _ _ zenon_H13); [ zenon_intro zenon_H16 | zenon_intro zenon_H17 ]. % 23.54/23.73 apply zenon_H16. apply sym_equal. exact zenon_H14. % 23.54/23.73 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H2c | zenon_intro zenon_H136 ]. % 23.54/23.73 apply (zenon_L7_); trivial. % 23.54/23.73 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H34 | zenon_intro zenon_H137 ]. % 23.54/23.73 apply (zenon_L8_); trivial. % 23.54/23.73 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H36 | zenon_intro zenon_H138 ]. % 23.54/23.73 apply (zenon_L9_); trivial. % 23.54/23.73 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H38 | zenon_intro zenon_H139 ]. % 23.54/23.73 apply (zenon_L10_); trivial. % 23.54/23.73 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H13b | zenon_intro zenon_H13a ]. % 23.54/23.73 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_H63. zenon_intro zenon_H13c. % 23.54/23.73 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_Hba. zenon_intro zenon_H13d. % 23.54/23.73 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_Hbb. zenon_intro zenon_H13e. % 23.54/23.73 apply (zenon_L185_); trivial. % 23.54/23.73 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H140 | zenon_intro zenon_H13f ]. % 23.54/23.73 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H99. zenon_intro zenon_H13c. % 23.54/23.73 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_Hba. zenon_intro zenon_H13d. % 23.54/23.73 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_Hbb. zenon_intro zenon_H13e. % 23.54/23.73 apply (zenon_L185_); trivial. % 23.54/23.73 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H142 | zenon_intro zenon_H141 ]. % 23.54/23.73 apply (zenon_and_s _ _ zenon_H142). zenon_intro zenon_H6e. zenon_intro zenon_H13c. % 23.54/23.73 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_Hba. zenon_intro zenon_H13d. % 23.54/23.73 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_Hbb. zenon_intro zenon_H13e. % 23.54/23.73 apply (zenon_L185_); trivial. % 23.54/23.73 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H144 | zenon_intro zenon_H143 ]. % 23.54/23.73 apply (zenon_and_s _ _ zenon_H144). zenon_intro zenon_He4. zenon_intro zenon_H13c. % 23.54/23.73 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_Hba. zenon_intro zenon_H13d. % 23.54/23.73 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_Hbb. zenon_intro zenon_H13e. % 23.54/23.73 apply (zenon_L185_); trivial. % 23.54/23.73 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H145 ]. % 23.54/23.73 apply (zenon_L47_); trivial. % 23.54/23.73 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_He1 | zenon_intro zenon_H146 ]. % 23.54/23.73 apply (zenon_L49_); trivial. % 23.54/23.73 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_He2 | zenon_intro zenon_H147 ]. % 23.54/23.73 apply (zenon_L50_); trivial. % 23.54/23.73 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_Hea | zenon_intro zenon_H148 ]. % 23.54/23.73 apply (zenon_L53_); trivial. % 23.54/23.73 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H149 ]. % 23.54/23.73 apply (zenon_L55_); trivial. % 23.54/23.73 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H124 | zenon_intro zenon_H14a ]. % 23.54/23.73 apply (zenon_L78_); trivial. % 23.54/23.73 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_H133 | zenon_intro zenon_H134 ]. % 23.54/23.73 apply (zenon_L91_); trivial. % 23.54/23.73 apply (zenon_L92_); trivial. % 23.54/23.73 apply (zenon_L116_); trivial. % 23.54/23.73 (* end of lemma zenon_L186_ *) % 23.54/23.73 assert (zenon_L187_ : (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> ((~((op2 (e23) (e23)) = (e20)))\/((op2 (e23) (e20)) = (e23))) -> ((e10) = (op1 (e13) (e13))) -> ((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))) -> ((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((~((op2 (e22) (e22)) = (e20)))\/((op2 (e22) (e20)) = (e22))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((~((op2 (e22) (e22)) = (e22)))\/((op2 (e22) (e22)) = (e22))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((h4 (op1 (e10) (e11))) = (op2 (h4 (e10)) (h4 (e11))))) -> ((h4 (e11)) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> ((h4 (e10)) = (op2 (e23) (e23))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((e10) = (e11))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> ((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((e11) = (op1 (op1 (op1 (e13) (e13)) (e13)) (e13))) -> ((e12) = (op1 (op1 (e13) (e13)) (e13))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> ((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> ((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> ((((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e11) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e11) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e11) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e12) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e12) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e12) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e13) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e13) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e13) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))\/(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))))))))))))))))) -> ((~((op2 (e22) (e22)) = (e23)))\/((op2 (e22) (e23)) = (e22))) -> ((~((op2 (e20) (e20)) = (e23)))\/((op2 (e20) (e23)) = (e20))) -> (~((op2 (e20) (e20)) = (e21))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e20)) = (e22))\/((op2 (e20) (e20)) = (e23))))) -> ((~((op2 (e21) (e21)) = (e20)))\/((op2 (e21) (e20)) = (e21))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((e21) = (e22))) -> (~((op2 (e21) (e21)) = (e21))) -> (~((e20) = (e21))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((e21) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((~((op2 (e21) (e21)) = (e22)))\/((op2 (e21) (e22)) = (e21))) -> ((~((op2 (e20) (e20)) = (e20)))\/((op2 (e20) (e20)) = (e20))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((e22) = (op2 (op2 (e23) (e23)) (e23))) -> ((e20) = (op2 (e23) (e23))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> False). % 23.54/23.73 do 0 intro. intros zenon_H1b6 zenon_H13 zenon_H28 zenon_H27 zenon_Hc8 zenon_H21f zenon_H214 zenon_H245 zenon_H1d3 zenon_H1f5 zenon_H1cf zenon_H231 zenon_H200 zenon_H1c2 zenon_H1be zenon_H22e zenon_H222 zenon_H249 zenon_H24c zenon_H24f zenon_H238 zenon_H3b zenon_H242 zenon_H23f zenon_H94 zenon_H62 zenon_H80 zenon_H8b zenon_H8f zenon_H120 zenon_H12c zenon_Hbc zenon_H87 zenon_H4d zenon_Hc0 zenon_Hfe zenon_H12f zenon_Hc9 zenon_Hf3 zenon_Hce zenon_H9a zenon_H9d zenon_H23b zenon_H112 zenon_Ha6 zenon_H11d zenon_H9e zenon_H95 zenon_H86 zenon_H68 zenon_H6f zenon_H75 zenon_H7b zenon_H5c zenon_H4c zenon_H53 zenon_H5a zenon_Hb1 zenon_Hb4 zenon_Hb8 zenon_Hcf zenon_Hd1 zenon_Hdb zenon_He7 zenon_Heb zenon_H10f zenon_H11a zenon_Hf9 zenon_H107 zenon_H101 zenon_H121 zenon_H132 zenon_H135 zenon_H1ca zenon_H15b zenon_H15d zenon_H14d zenon_H15e zenon_H19f zenon_H19b zenon_H191 zenon_H18d zenon_H17d zenon_H171 zenon_H16a zenon_H193 zenon_H182 zenon_H188 zenon_H189 zenon_H194 zenon_H164 zenon_H19e zenon_H1a0 zenon_H1b3 zenon_H177 zenon_H1a8 zenon_H14e zenon_H14 zenon_H154. % 23.54/23.73 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H1a | zenon_intro zenon_H1b7 ]. % 23.54/23.73 apply (zenon_L186_); trivial. % 23.54/23.73 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H19a | zenon_intro zenon_H1b8 ]. % 23.54/23.73 exact (zenon_H193 zenon_H19a). % 23.54/23.73 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H16f | zenon_intro zenon_H1a2 ]. % 23.54/23.73 apply (zenon_L114_); trivial. % 23.54/23.73 apply (zenon_L118_); trivial. % 23.54/23.73 (* end of lemma zenon_L187_ *) % 23.54/23.73 assert (zenon_L188_ : (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> ((~((op2 (e22) (e22)) = (e23)))\/((op2 (e22) (e23)) = (e22))) -> ((((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e11) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e11) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e11) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e12) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e12) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e12) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e13) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e13) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e13) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))\/(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))))))))))))))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((e12) = (op1 (op1 (e13) (e13)) (e13))) -> ((e11) = (op1 (op1 (op1 (e13) (e13)) (e13)) (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> ((h4 (e10)) = (op2 (e23) (e23))) -> ((h4 (e11)) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> (~((h4 (op1 (e10) (e11))) = (op2 (h4 (e10)) (h4 (e11))))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((~((op2 (e22) (e22)) = (e22)))\/((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((~((op2 (e22) (e22)) = (e20)))\/((op2 (e22) (e20)) = (e22))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> ((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12))) -> ((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))) -> ((e10) = (op1 (e13) (e13))) -> ((~((op2 (e23) (e23)) = (e20)))\/((op2 (e23) (e20)) = (e23))) -> ((~((op2 (e20) (e20)) = (e21)))\/((op2 (e20) (e21)) = (e20))) -> (~((op2 (e20) (e21)) = (e20))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e20)) = (e22))\/((op2 (e20) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((~((op2 (e20) (e20)) = (e23)))\/((op2 (e20) (e23)) = (e20))) -> ((~((op2 (e21) (e21)) = (e20)))\/((op2 (e21) (e20)) = (e21))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((e21) = (e22))) -> (~((op2 (e21) (e21)) = (e21))) -> (~((e20) = (e21))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((e21) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((~((op2 (e21) (e21)) = (e22)))\/((op2 (e21) (e22)) = (e21))) -> ((~((op2 (e20) (e20)) = (e20)))\/((op2 (e20) (e20)) = (e20))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((e22) = (op2 (op2 (e23) (e23)) (e23))) -> ((e20) = (op2 (e23) (e23))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> False). % 23.54/23.73 do 0 intro. intros zenon_H1b6 zenon_H1ca zenon_H135 zenon_H132 zenon_H121 zenon_H101 zenon_H107 zenon_Hf9 zenon_H11a zenon_H10f zenon_Heb zenon_He7 zenon_Hdb zenon_Hd1 zenon_Hcf zenon_Hb8 zenon_Hb4 zenon_Hb1 zenon_H5a zenon_H53 zenon_H4c zenon_H5c zenon_H7b zenon_H75 zenon_H6f zenon_H68 zenon_H86 zenon_H95 zenon_H9e zenon_H11d zenon_Ha6 zenon_H112 zenon_H23b zenon_H9d zenon_H9a zenon_Hce zenon_Hf3 zenon_Hc9 zenon_H12f zenon_Hfe zenon_Hc0 zenon_H4d zenon_H87 zenon_Hbc zenon_H12c zenon_H120 zenon_H8f zenon_H8b zenon_H80 zenon_H62 zenon_H94 zenon_H23f zenon_H242 zenon_H3b zenon_H238 zenon_H24f zenon_H24c zenon_H249 zenon_H222 zenon_H22e zenon_H1be zenon_H1c2 zenon_H200 zenon_H231 zenon_H1cf zenon_H1f5 zenon_H1d3 zenon_H245 zenon_H214 zenon_H21f zenon_Hc8 zenon_H27 zenon_H28 zenon_H13 zenon_H1ba zenon_H1b9 zenon_H15e zenon_H14d zenon_H15b zenon_H19f zenon_H19b zenon_H191 zenon_H18d zenon_H17d zenon_H171 zenon_H16a zenon_H193 zenon_H182 zenon_H188 zenon_H189 zenon_H194 zenon_H164 zenon_H19e zenon_H1a0 zenon_H1b3 zenon_H177 zenon_H1a8 zenon_H14e zenon_H14 zenon_H154. % 23.54/23.73 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H1a | zenon_intro zenon_H1b7 ]. % 23.54/23.73 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H15d | zenon_intro zenon_H1bb ]. % 23.54/23.73 apply (zenon_L186_); trivial. % 23.54/23.73 exact (zenon_H1b9 zenon_H1bb). % 23.54/23.73 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H19a | zenon_intro zenon_H1b8 ]. % 23.54/23.73 exact (zenon_H193 zenon_H19a). % 23.54/23.73 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H16f | zenon_intro zenon_H1a2 ]. % 23.54/23.73 apply (zenon_L120_); trivial. % 23.54/23.73 apply (zenon_L118_); trivial. % 23.54/23.73 (* end of lemma zenon_L188_ *) % 23.54/23.73 assert (zenon_L189_ : ((~((op2 (e20) (e20)) = (e21)))\/(~((op2 (e20) (e21)) = (e20)))) -> ((~((op2 (e20) (e20)) = (e21)))\/((op2 (e20) (e21)) = (e20))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> ((~((op2 (e20) (e20)) = (e23)))\/((op2 (e20) (e23)) = (e20))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e20)) = (e22))\/((op2 (e20) (e20)) = (e23))))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((e21) = (e22))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> ((~((op2 (e20) (e20)) = (e20)))\/((op2 (e20) (e20)) = (e20))) -> ((~((op2 (e23) (e23)) = (e20)))\/((op2 (e23) (e20)) = (e23))) -> ((e10) = (op1 (e13) (e13))) -> ((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))) -> ((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12))) -> (((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e22)) = (e21))\/((op2 (e20) (e23)) = (e21))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((~((op2 (e21) (e21)) = (e20)))\/((op2 (e21) (e20)) = (e21))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((~((op2 (e22) (e22)) = (e20)))\/((op2 (e22) (e20)) = (e22))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> ((e22) = (op2 (op2 (e23) (e23)) (e23))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((~((op2 (e22) (e22)) = (e22)))\/((op2 (e22) (e22)) = (e22))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((e20) = (e21))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((~((op2 (e21) (e21)) = (e22)))\/((op2 (e21) (e22)) = (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((h4 (op1 (e10) (e11))) = (op2 (h4 (e10)) (h4 (e11))))) -> ((e21) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> ((h4 (e11)) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> ((h4 (e10)) = (op2 (e23) (e23))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((e10) = (e11))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> ((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((e11) = (op1 (op1 (op1 (e13) (e13)) (e13)) (e13))) -> ((e12) = (op1 (op1 (e13) (e13)) (e13))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> ((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> ((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> ((((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e11) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e11) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e11) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e12) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e12) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e12) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e13) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e13) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e13) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))\/(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))))))))))))))))) -> ((e20) = (op2 (e23) (e23))) -> ((~((op2 (e22) (e22)) = (e23)))\/((op2 (e22) (e23)) = (e22))) -> ((~((op2 (e21) (e21)) = (e21)))\/(~((op2 (e21) (e21)) = (e21)))) -> False). % 23.54/23.73 do 0 intro. intros zenon_H1bc zenon_H1ba zenon_H1b6 zenon_H1b3 zenon_H15b zenon_H154 zenon_H14d zenon_H15e zenon_H17d zenon_H177 zenon_H171 zenon_H16a zenon_H188 zenon_H194 zenon_H1a0 zenon_H13 zenon_H28 zenon_H27 zenon_Hc8 zenon_H21f zenon_H1a8 zenon_H214 zenon_H245 zenon_H19f zenon_H19b zenon_H1d3 zenon_H1f5 zenon_H1cf zenon_H231 zenon_H200 zenon_H1c2 zenon_H14e zenon_H1be zenon_H22e zenon_H222 zenon_H191 zenon_H18d zenon_H182 zenon_H164 zenon_H19e zenon_H249 zenon_H24c zenon_H24f zenon_H189 zenon_H238 zenon_H3b zenon_H242 zenon_H23f zenon_H94 zenon_H62 zenon_H80 zenon_H8b zenon_H8f zenon_H120 zenon_H12c zenon_Hbc zenon_H87 zenon_H4d zenon_Hc0 zenon_Hfe zenon_H12f zenon_Hc9 zenon_Hf3 zenon_Hce zenon_H9a zenon_H9d zenon_H23b zenon_H112 zenon_Ha6 zenon_H11d zenon_H9e zenon_H95 zenon_H86 zenon_H68 zenon_H6f zenon_H75 zenon_H7b zenon_H5c zenon_H4c zenon_H53 zenon_H5a zenon_Hb1 zenon_Hb4 zenon_Hb8 zenon_Hcf zenon_Hd1 zenon_Hdb zenon_He7 zenon_Heb zenon_H10f zenon_H11a zenon_Hf9 zenon_H107 zenon_H101 zenon_H121 zenon_H132 zenon_H135 zenon_H14 zenon_H1ca zenon_H1bd. % 23.54/23.73 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H15d | zenon_intro zenon_H1b9 ]. % 23.54/23.73 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H193 | zenon_intro zenon_H193 ]. % 23.54/23.73 apply (zenon_L187_); trivial. % 23.54/23.73 apply (zenon_L187_); trivial. % 23.54/23.73 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H193 | zenon_intro zenon_H193 ]. % 23.54/23.73 apply (zenon_L188_); trivial. % 23.54/23.73 apply (zenon_L188_); trivial. % 23.54/23.73 (* end of lemma zenon_L189_ *) % 23.54/23.73 assert (zenon_L190_ : (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> ((op2 (e21) (e22)) = (e20)) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (e21))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e22)) = (e23))) -> False). % 23.54/23.73 do 0 intro. intros zenon_H1c2 zenon_H184 zenon_H171 zenon_H1c1 zenon_H1c4 zenon_H1c5. % 23.54/23.73 apply (zenon_or_s _ _ zenon_H1c2); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H1c6 ]. % 23.54/23.73 cut (((op2 (e21) (e22)) = (e20)) = ((op2 (e21) (e22)) = (op2 (e22) (e22)))). % 23.54/23.73 intro zenon_D_pnotp. % 23.54/23.73 apply zenon_H171. % 23.54/23.73 rewrite <- zenon_D_pnotp. % 23.54/23.73 exact zenon_H184. % 23.54/23.73 cut (((e20) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H1cd]. % 23.54/23.73 cut (((op2 (e21) (e22)) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H20b]. % 23.54/23.73 congruence. % 23.54/23.73 apply zenon_H20b. apply refl_equal. % 23.54/23.73 apply zenon_H1cd. apply sym_equal. exact zenon_H1c7. % 23.54/23.73 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H1bf | zenon_intro zenon_H1c8 ]. % 23.54/23.73 exact (zenon_H1c1 zenon_H1bf). % 23.54/23.73 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H16f | zenon_intro zenon_H1c9 ]. % 23.54/23.73 exact (zenon_H1c4 zenon_H16f). % 23.54/23.73 exact (zenon_H1c5 zenon_H1c9). % 23.54/23.73 (* end of lemma zenon_L190_ *) % 23.54/23.73 assert (zenon_L191_ : ((~((op2 (e22) (e22)) = (e23)))\/((op2 (e22) (e23)) = (e22))) -> ((e22) = (op2 (op2 (e23) (e23)) (e23))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((op2 (e20) (e20)) = (e20)) -> (~((op2 (e21) (e21)) = (e20))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e22)) = (e21))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e20) = (op2 (e23) (e23))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> False). % 23.54/23.73 do 0 intro. intros zenon_H1ca zenon_H14e zenon_H1a8 zenon_H164 zenon_H1a zenon_H192 zenon_H1c2 zenon_H1c4 zenon_H1c1 zenon_H171 zenon_H18d zenon_H14 zenon_H191. % 23.54/23.73 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H1a7 ]. % 23.54/23.73 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_H165 | zenon_intro zenon_H195 ]. % 23.54/23.73 apply (zenon_L99_); trivial. % 23.54/23.73 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H197 | zenon_intro zenon_H196 ]. % 23.54/23.73 exact (zenon_H192 zenon_H197). % 23.54/23.73 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_H184 | zenon_intro zenon_H18e ]. % 23.54/23.73 apply (zenon_L190_); trivial. % 23.54/23.73 apply (zenon_L108_); trivial. % 23.54/23.73 apply (zenon_L116_); trivial. % 23.54/23.73 (* end of lemma zenon_L191_ *) % 23.54/23.73 assert (zenon_L192_ : ((~((op2 (e22) (e22)) = (e22)))\/((op2 (e22) (e22)) = (e22))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> ((e21) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((e20) = (e21))) -> (~((op2 (e21) (e21)) = (e21))) -> (~((e21) = (e22))) -> (~((op2 (e21) (e21)) = (e22))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> ((e20) = (op2 (e23) (e23))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (e21))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e21) (e21)) = (e20))) -> ((op2 (e20) (e20)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((e22) = (op2 (op2 (e23) (e23)) (e23))) -> ((~((op2 (e22) (e22)) = (e23)))\/((op2 (e22) (e23)) = (e22))) -> False). % 23.54/23.73 do 0 intro. intros zenon_H222 zenon_H194 zenon_H189 zenon_H188 zenon_H182 zenon_H193 zenon_H16a zenon_H17e zenon_H177 zenon_H17d zenon_H191 zenon_H14 zenon_H18d zenon_H171 zenon_H1c1 zenon_H1c2 zenon_H192 zenon_H1a zenon_H164 zenon_H1a8 zenon_H14e zenon_H1ca. % 23.54/23.73 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H16f ]. % 23.54/23.73 apply (zenon_L191_); trivial. % 23.54/23.73 apply (zenon_L109_); trivial. % 23.54/23.73 (* end of lemma zenon_L192_ *) % 23.54/23.73 assert (zenon_L193_ : ((~((op2 (e21) (e21)) = (e22)))\/((op2 (e21) (e22)) = (e21))) -> ((~((op2 (e22) (e22)) = (e23)))\/((op2 (e22) (e23)) = (e22))) -> ((e22) = (op2 (op2 (e23) (e23)) (e23))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((op2 (e20) (e20)) = (e20)) -> (~((op2 (e21) (e21)) = (e20))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (e21))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e20) = (op2 (e23) (e23))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((e21) = (e22))) -> (~((op2 (e21) (e21)) = (e21))) -> (~((e20) = (e21))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((e21) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> ((~((op2 (e22) (e22)) = (e22)))\/((op2 (e22) (e22)) = (e22))) -> False). % 23.54/23.73 do 0 intro. intros zenon_H19e zenon_H1ca zenon_H14e zenon_H1a8 zenon_H164 zenon_H1a zenon_H192 zenon_H1c2 zenon_H1c1 zenon_H171 zenon_H18d zenon_H14 zenon_H191 zenon_H17d zenon_H177 zenon_H16a zenon_H193 zenon_H182 zenon_H188 zenon_H189 zenon_H194 zenon_H222. % 23.54/23.73 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H17e | zenon_intro zenon_H183 ]. % 23.54/23.73 apply (zenon_L192_); trivial. % 23.54/23.73 apply (zenon_L110_); trivial. % 23.54/23.73 (* end of lemma zenon_L193_ *) % 23.54/23.73 assert (zenon_L194_ : (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((op1 (e11) (e12)) = (e10)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (e11))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e12) (e12)) = (e13))) -> False). % 23.54/23.73 do 0 intro. intros zenon_Hc0 zenon_H82 zenon_H6f zenon_Hbf zenon_Hc2 zenon_Hc3. % 23.54/23.73 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hc4 ]. % 23.54/23.73 cut (((op1 (e11) (e12)) = (e10)) = ((op1 (e11) (e12)) = (op1 (e12) (e12)))). % 23.54/23.73 intro zenon_D_pnotp. % 23.54/23.73 apply zenon_H6f. % 23.54/23.73 rewrite <- zenon_D_pnotp. % 23.54/23.73 exact zenon_H82. % 23.54/23.73 cut (((e10) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_Hd2]. % 23.54/23.73 cut (((op1 (e11) (e12)) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H109]. % 23.54/23.73 congruence. % 23.54/23.73 apply zenon_H109. apply refl_equal. % 23.54/23.73 apply zenon_Hd2. apply sym_equal. exact zenon_Hc5. % 23.54/23.73 apply (zenon_or_s _ _ zenon_Hc4); [ zenon_intro zenon_Hbd | zenon_intro zenon_Hc6 ]. % 23.54/23.73 exact (zenon_Hbf zenon_Hbd). % 23.54/23.73 apply (zenon_or_s _ _ zenon_Hc6); [ zenon_intro zenon_H6d | zenon_intro zenon_Hc7 ]. % 23.54/23.73 exact (zenon_Hc2 zenon_H6d). % 23.54/23.73 exact (zenon_Hc3 zenon_Hc7). % 23.54/23.73 (* end of lemma zenon_L194_ *) % 23.54/23.73 assert (zenon_L195_ : ((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((e10) = (e11))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((e11) = (op1 (op1 (op1 (e13) (e13)) (e13)) (e13))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> ((e10) = (op1 (e13) (e13))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (e11))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e11) (e11)) = (e10))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (e13)) (e13))) -> ((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12))) -> False). % 23.54/23.73 do 0 intro. intros zenon_H120 zenon_H7b zenon_H75 zenon_H68 zenon_H96 zenon_H80 zenon_H86 zenon_H87 zenon_H95 zenon_H94 zenon_H8f zenon_H28 zenon_H8b zenon_H6f zenon_Hbf zenon_Hc0 zenon_H90 zenon_H2e zenon_H62 zenon_Ha6 zenon_H4d zenon_Hc8. % 23.54/23.73 apply (zenon_or_s _ _ zenon_H120); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H6d ]. % 23.54/23.73 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Ha5 ]. % 23.54/23.73 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H63 | zenon_intro zenon_H91 ]. % 23.54/23.73 apply (zenon_L18_); trivial. % 23.54/23.73 apply (zenon_or_s _ _ zenon_H91); [ zenon_intro zenon_H93 | zenon_intro zenon_H92 ]. % 23.54/23.73 exact (zenon_H90 zenon_H93). % 23.54/23.73 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H82 | zenon_intro zenon_H8c ]. % 23.54/23.73 apply (zenon_L194_); trivial. % 23.54/23.73 apply (zenon_L27_); trivial. % 23.54/23.73 apply (zenon_L35_); trivial. % 23.54/23.73 apply (zenon_L29_); trivial. % 23.54/23.73 (* end of lemma zenon_L195_ *) % 23.54/23.73 assert (zenon_L196_ : (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> ((op2 (e20) (e20)) = (e20)) -> ((op2 (e20) (e22)) = (e20)) -> False). % 23.54/23.73 do 0 intro. intros zenon_H25c zenon_H1a zenon_H212. % 23.54/23.73 cut (((op2 (e20) (e20)) = (e20)) = ((op2 (e20) (e20)) = (op2 (e20) (e22)))). % 23.54/23.73 intro zenon_D_pnotp. % 23.54/23.73 apply zenon_H25c. % 23.54/23.73 rewrite <- zenon_D_pnotp. % 23.54/23.73 exact zenon_H1a. % 23.54/23.73 cut (((e20) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H213]. % 23.54/23.73 cut (((op2 (e20) (e20)) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H152]. % 23.54/23.73 congruence. % 23.54/23.73 apply zenon_H152. apply refl_equal. % 23.54/23.73 apply zenon_H213. apply sym_equal. exact zenon_H212. % 23.54/23.73 (* end of lemma zenon_L196_ *) % 23.54/23.73 assert (zenon_L197_ : (~((op2 (op2 (e23) (e23)) (e23)) = (op2 (e21) (e22)))) -> ((op2 (e20) (e23)) = (e22)) -> ((e20) = (op2 (e23) (e23))) -> ((op2 (e21) (e22)) = (e22)) -> False). % 23.54/23.73 do 0 intro. intros zenon_H25d zenon_H1a1 zenon_H14 zenon_H170. % 23.54/23.73 cut (((op2 (e20) (e23)) = (e22)) = ((op2 (op2 (e23) (e23)) (e23)) = (op2 (e21) (e22)))). % 23.54/23.73 intro zenon_D_pnotp. % 23.54/23.73 apply zenon_H25d. % 23.54/23.73 rewrite <- zenon_D_pnotp. % 23.54/23.73 exact zenon_H1a1. % 23.54/23.73 cut (((e22) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H175]. % 23.54/23.73 cut (((op2 (e20) (e23)) = (op2 (op2 (e23) (e23)) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H25e]. % 23.54/23.73 congruence. % 23.54/23.73 elim (classic ((op2 (op2 (e23) (e23)) (e23)) = (op2 (op2 (e23) (e23)) (e23)))); [ zenon_intro zenon_H25f | zenon_intro zenon_H260 ]. % 23.54/23.73 cut (((op2 (op2 (e23) (e23)) (e23)) = (op2 (op2 (e23) (e23)) (e23))) = ((op2 (e20) (e23)) = (op2 (op2 (e23) (e23)) (e23)))). % 23.54/23.73 intro zenon_D_pnotp. % 23.54/23.73 apply zenon_H25e. % 23.54/23.73 rewrite <- zenon_D_pnotp. % 23.54/23.73 exact zenon_H25f. % 23.54/23.73 cut (((op2 (op2 (e23) (e23)) (e23)) = (op2 (op2 (e23) (e23)) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H260]. % 23.54/23.73 cut (((op2 (op2 (e23) (e23)) (e23)) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H14c]. % 23.54/23.73 congruence. % 23.54/23.73 apply (zenon_L95_); trivial. % 23.54/23.73 apply zenon_H260. apply refl_equal. % 23.54/23.73 apply zenon_H260. apply refl_equal. % 23.54/23.73 apply zenon_H175. apply sym_equal. exact zenon_H170. % 23.54/23.73 (* end of lemma zenon_L197_ *) % 23.54/23.73 assert (zenon_L198_ : (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> ((e22) = (op2 (op2 (e23) (e23)) (e23))) -> ((op2 (e20) (e22)) = (e22)) -> ((op2 (e20) (e23)) = (e22)) -> ((op2 (e21) (e22)) = (e22)) -> ((e20) = (op2 (e23) (e23))) -> False). % 23.54/23.73 do 0 intro. intros zenon_H209 zenon_H14e zenon_H23 zenon_H1a1 zenon_H170 zenon_H14. % 23.54/23.73 cut (((e22) = (op2 (op2 (e23) (e23)) (e23))) = ((op2 (e20) (e22)) = (op2 (e21) (e22)))). % 23.54/23.73 intro zenon_D_pnotp. % 23.54/23.73 apply zenon_H209. % 23.54/23.73 rewrite <- zenon_D_pnotp. % 23.54/23.73 exact zenon_H14e. % 23.54/23.73 cut (((op2 (op2 (e23) (e23)) (e23)) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H25d]. % 23.54/23.73 cut (((e22) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H261]. % 23.54/23.73 congruence. % 23.54/23.73 elim (classic ((op2 (e20) (e22)) = (op2 (e20) (e22)))); [ zenon_intro zenon_H262 | zenon_intro zenon_H248 ]. % 23.54/23.73 cut (((op2 (e20) (e22)) = (op2 (e20) (e22))) = ((e22) = (op2 (e20) (e22)))). % 23.54/23.73 intro zenon_D_pnotp. % 23.54/23.73 apply zenon_H261. % 23.54/23.73 rewrite <- zenon_D_pnotp. % 23.54/23.73 exact zenon_H262. % 23.54/23.73 cut (((op2 (e20) (e22)) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H248]. % 23.54/23.73 cut (((op2 (e20) (e22)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H263]. % 23.54/23.73 congruence. % 23.54/23.73 exact (zenon_H263 zenon_H23). % 23.54/23.73 apply zenon_H248. apply refl_equal. % 23.54/23.73 apply zenon_H248. apply refl_equal. % 23.54/23.73 apply (zenon_L197_); trivial. % 23.54/23.73 (* end of lemma zenon_L198_ *) % 23.54/23.73 assert (zenon_L199_ : (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> ((op1 (e10) (e10)) = (e10)) -> ((op1 (e10) (e12)) = (e10)) -> False). % 23.54/23.73 do 0 intro. intros zenon_H264 zenon_H2e zenon_H110. % 23.54/23.73 cut (((op1 (e10) (e10)) = (e10)) = ((op1 (e10) (e10)) = (op1 (e10) (e12)))). % 23.54/23.73 intro zenon_D_pnotp. % 23.54/23.73 apply zenon_H264. % 23.54/23.73 rewrite <- zenon_D_pnotp. % 23.54/23.73 exact zenon_H2e. % 23.54/23.73 cut (((e10) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H111]. % 23.54/23.73 cut (((op1 (e10) (e10)) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H51]. % 23.54/23.73 congruence. % 23.54/23.73 apply zenon_H51. apply refl_equal. % 23.54/23.73 apply zenon_H111. apply sym_equal. exact zenon_H110. % 23.54/23.73 (* end of lemma zenon_L199_ *) % 23.54/23.73 assert (zenon_L200_ : (~((op1 (op1 (e13) (e13)) (e13)) = (op1 (e11) (e12)))) -> ((op1 (e10) (e13)) = (e12)) -> ((e10) = (op1 (e13) (e13))) -> ((op1 (e11) (e12)) = (e12)) -> False). % 23.54/23.73 do 0 intro. intros zenon_H265 zenon_H9f zenon_H28 zenon_H6e. % 23.54/23.73 cut (((op1 (e10) (e13)) = (e12)) = ((op1 (op1 (e13) (e13)) (e13)) = (op1 (e11) (e12)))). % 23.54/23.73 intro zenon_D_pnotp. % 23.54/23.73 apply zenon_H265. % 23.54/23.73 rewrite <- zenon_D_pnotp. % 23.54/23.73 exact zenon_H9f. % 23.54/23.73 cut (((e12) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H73]. % 23.54/23.73 cut (((op1 (e10) (e13)) = (op1 (op1 (e13) (e13)) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H266]. % 23.54/23.73 congruence. % 23.54/23.73 elim (classic ((op1 (op1 (e13) (e13)) (e13)) = (op1 (op1 (e13) (e13)) (e13)))); [ zenon_intro zenon_H267 | zenon_intro zenon_H268 ]. % 23.54/23.73 cut (((op1 (op1 (e13) (e13)) (e13)) = (op1 (op1 (e13) (e13)) (e13))) = ((op1 (e10) (e13)) = (op1 (op1 (e13) (e13)) (e13)))). % 23.54/23.73 intro zenon_D_pnotp. % 23.54/23.73 apply zenon_H266. % 23.54/23.73 rewrite <- zenon_D_pnotp. % 23.54/23.73 exact zenon_H267. % 23.54/23.73 cut (((op1 (op1 (e13) (e13)) (e13)) = (op1 (op1 (e13) (e13)) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H268]. % 23.54/23.73 cut (((op1 (op1 (e13) (e13)) (e13)) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H4b]. % 23.54/23.73 congruence. % 23.54/23.73 apply (zenon_L14_); trivial. % 23.54/23.73 apply zenon_H268. apply refl_equal. % 23.54/23.73 apply zenon_H268. apply refl_equal. % 23.54/23.73 apply zenon_H73. apply sym_equal. exact zenon_H6e. % 23.54/23.73 (* end of lemma zenon_L200_ *) % 23.54/23.73 assert (zenon_L201_ : (~((h4 (e12)) = (e22))) -> ((h4 (e12)) = (op2 (op2 (e23) (e23)) (e23))) -> ((e22) = (op2 (op2 (e23) (e23)) (e23))) -> False). % 23.54/23.73 do 0 intro. intros zenon_H269 zenon_H26a zenon_H14e. % 23.54/23.73 cut (((h4 (e12)) = (op2 (op2 (e23) (e23)) (e23))) = ((h4 (e12)) = (e22))). % 23.54/23.73 intro zenon_D_pnotp. % 23.54/23.73 apply zenon_H269. % 23.54/23.73 rewrite <- zenon_D_pnotp. % 23.54/23.73 exact zenon_H26a. % 23.54/23.73 cut (((op2 (op2 (e23) (e23)) (e23)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H187]. % 23.54/23.73 cut (((h4 (e12)) = (h4 (e12)))); [idtac | apply NNPP; zenon_intro zenon_H26b]. % 23.54/23.73 congruence. % 23.54/23.73 apply zenon_H26b. apply refl_equal. % 23.54/23.73 apply zenon_H187. apply sym_equal. exact zenon_H14e. % 23.54/23.73 (* end of lemma zenon_L201_ *) % 23.54/23.73 assert (zenon_L202_ : (~((h4 (op1 (e10) (e12))) = (op2 (h4 (e10)) (h4 (e12))))) -> ((h4 (e13)) = (e23)) -> ((op1 (e10) (e12)) = (e13)) -> ((op2 (e20) (e22)) = (e23)) -> ((h4 (e10)) = (op2 (e23) (e23))) -> ((e20) = (op2 (e23) (e23))) -> ((h4 (e12)) = (op2 (op2 (e23) (e23)) (e23))) -> ((e22) = (op2 (op2 (e23) (e23)) (e23))) -> False). % 23.54/23.73 do 0 intro. intros zenon_H26c zenon_H26d zenon_H26e zenon_H26f zenon_H3b zenon_H14 zenon_H26a zenon_H14e. % 23.54/23.73 cut (((h4 (e13)) = (e23)) = ((h4 (op1 (e10) (e12))) = (op2 (h4 (e10)) (h4 (e12))))). % 23.54/23.73 intro zenon_D_pnotp. % 23.54/23.73 apply zenon_H26c. % 23.54/23.73 rewrite <- zenon_D_pnotp. % 23.54/23.73 exact zenon_H26d. % 23.54/23.73 cut (((e23) = (op2 (h4 (e10)) (h4 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H270]. % 23.54/23.73 cut (((h4 (e13)) = (h4 (op1 (e10) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H271]. % 23.54/23.73 congruence. % 23.54/23.73 elim (classic ((h4 (op1 (e10) (e12))) = (h4 (op1 (e10) (e12))))); [ zenon_intro zenon_H272 | zenon_intro zenon_H273 ]. % 23.54/23.73 cut (((h4 (op1 (e10) (e12))) = (h4 (op1 (e10) (e12)))) = ((h4 (e13)) = (h4 (op1 (e10) (e12))))). % 23.54/23.73 intro zenon_D_pnotp. % 23.54/23.73 apply zenon_H271. % 23.54/23.73 rewrite <- zenon_D_pnotp. % 23.54/23.73 exact zenon_H272. % 23.54/23.73 cut (((h4 (op1 (e10) (e12))) = (h4 (op1 (e10) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H273]. % 23.54/23.73 cut (((h4 (op1 (e10) (e12))) = (h4 (e13)))); [idtac | apply NNPP; zenon_intro zenon_H274]. % 23.54/23.73 congruence. % 23.54/23.73 cut (((op1 (e10) (e12)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H275]. % 23.54/23.73 congruence. % 23.54/23.73 exact (zenon_H275 zenon_H26e). % 23.54/23.73 apply zenon_H273. apply refl_equal. % 23.54/23.73 apply zenon_H273. apply refl_equal. % 23.54/23.73 elim (classic ((op2 (h4 (e10)) (h4 (e12))) = (op2 (h4 (e10)) (h4 (e12))))); [ zenon_intro zenon_H276 | zenon_intro zenon_H277 ]. % 23.54/23.73 cut (((op2 (h4 (e10)) (h4 (e12))) = (op2 (h4 (e10)) (h4 (e12)))) = ((e23) = (op2 (h4 (e10)) (h4 (e12))))). % 23.54/23.73 intro zenon_D_pnotp. % 23.54/23.73 apply zenon_H270. % 23.54/23.73 rewrite <- zenon_D_pnotp. % 23.54/23.73 exact zenon_H276. % 23.54/23.73 cut (((op2 (h4 (e10)) (h4 (e12))) = (op2 (h4 (e10)) (h4 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H277]. % 23.54/23.73 cut (((op2 (h4 (e10)) (h4 (e12))) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H278]. % 23.54/23.73 congruence. % 23.54/23.73 cut (((op2 (e20) (e22)) = (e23)) = ((op2 (h4 (e10)) (h4 (e12))) = (e23))). % 23.54/23.73 intro zenon_D_pnotp. % 23.54/23.73 apply zenon_H278. % 23.54/23.73 rewrite <- zenon_D_pnotp. % 23.54/23.73 exact zenon_H26f. % 23.54/23.73 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H14b]. % 23.54/23.73 cut (((op2 (e20) (e22)) = (op2 (h4 (e10)) (h4 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H279]. % 23.54/23.73 congruence. % 23.54/23.73 elim (classic ((op2 (h4 (e10)) (h4 (e12))) = (op2 (h4 (e10)) (h4 (e12))))); [ zenon_intro zenon_H276 | zenon_intro zenon_H277 ]. % 23.54/23.73 cut (((op2 (h4 (e10)) (h4 (e12))) = (op2 (h4 (e10)) (h4 (e12)))) = ((op2 (e20) (e22)) = (op2 (h4 (e10)) (h4 (e12))))). % 23.54/23.73 intro zenon_D_pnotp. % 23.54/23.73 apply zenon_H279. % 23.54/23.73 rewrite <- zenon_D_pnotp. % 23.54/23.73 exact zenon_H276. % 23.54/23.73 cut (((op2 (h4 (e10)) (h4 (e12))) = (op2 (h4 (e10)) (h4 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H277]. % 23.54/23.73 cut (((op2 (h4 (e10)) (h4 (e12))) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H27a]. % 23.54/23.73 congruence. % 23.54/23.73 cut (((h4 (e12)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H269]. % 23.54/23.73 cut (((h4 (e10)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H3a]. % 23.54/23.73 congruence. % 23.54/23.73 apply (zenon_L11_); trivial. % 23.54/23.73 apply (zenon_L201_); trivial. % 23.54/23.73 apply zenon_H277. apply refl_equal. % 23.54/23.73 apply zenon_H277. apply refl_equal. % 23.54/23.73 apply zenon_H14b. apply refl_equal. % 23.54/23.73 apply zenon_H277. apply refl_equal. % 23.54/23.73 apply zenon_H277. apply refl_equal. % 23.54/23.73 (* end of lemma zenon_L202_ *) % 23.54/23.73 assert (zenon_L203_ : (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> ((op1 (e13) (e12)) = (e11)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((e10) = (op1 (e13) (e13))) -> ((op1 (e11) (e12)) = (e12)) -> ((op1 (e10) (e13)) = (e12)) -> ((e12) = (op1 (op1 (e13) (e13)) (e13))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((h4 (op1 (e10) (e12))) = (op2 (h4 (e10)) (h4 (e12))))) -> ((h4 (e13)) = (e23)) -> ((op2 (e20) (e22)) = (e23)) -> ((h4 (e10)) = (op2 (e23) (e23))) -> ((e20) = (op2 (e23) (e23))) -> ((h4 (e12)) = (op2 (op2 (e23) (e23)) (e23))) -> ((e22) = (op2 (op2 (e23) (e23)) (e23))) -> False). % 23.54/23.73 do 0 intro. intros zenon_H27b zenon_H2e zenon_H264 zenon_H23c zenon_H23b zenon_H28 zenon_H6e zenon_H9f zenon_H4d zenon_H107 zenon_H26c zenon_H26d zenon_H26f zenon_H3b zenon_H14 zenon_H26a zenon_H14e. % 23.54/23.73 apply (zenon_or_s _ _ zenon_H27b); [ zenon_intro zenon_H110 | zenon_intro zenon_H27c ]. % 23.54/23.73 apply (zenon_L199_); trivial. % 23.54/23.73 apply (zenon_or_s _ _ zenon_H27c); [ zenon_intro zenon_H106 | zenon_intro zenon_H27d ]. % 23.54/23.73 apply (zenon_L176_); trivial. % 23.54/23.73 apply (zenon_or_s _ _ zenon_H27d); [ zenon_intro zenon_H37 | zenon_intro zenon_H26e ]. % 23.54/23.73 cut (((e12) = (op1 (op1 (e13) (e13)) (e13))) = ((op1 (e10) (e12)) = (op1 (e11) (e12)))). % 23.54/23.73 intro zenon_D_pnotp. % 23.54/23.73 apply zenon_H107. % 23.54/23.73 rewrite <- zenon_D_pnotp. % 23.54/23.73 exact zenon_H4d. % 23.54/23.73 cut (((op1 (op1 (e13) (e13)) (e13)) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H265]. % 23.54/23.73 cut (((e12) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H27e]. % 23.54/23.73 congruence. % 23.54/23.73 elim (classic ((op1 (e10) (e12)) = (op1 (e10) (e12)))); [ zenon_intro zenon_H27f | zenon_intro zenon_H23e ]. % 23.54/23.73 cut (((op1 (e10) (e12)) = (op1 (e10) (e12))) = ((e12) = (op1 (e10) (e12)))). % 23.54/23.73 intro zenon_D_pnotp. % 23.54/23.73 apply zenon_H27e. % 23.54/23.73 rewrite <- zenon_D_pnotp. % 23.54/23.73 exact zenon_H27f. % 23.54/23.73 cut (((op1 (e10) (e12)) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H23e]. % 23.54/23.73 cut (((op1 (e10) (e12)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H280]. % 23.54/23.73 congruence. % 23.54/23.73 exact (zenon_H280 zenon_H37). % 23.54/23.73 apply zenon_H23e. apply refl_equal. % 23.54/23.73 apply zenon_H23e. apply refl_equal. % 23.54/23.73 apply (zenon_L200_); trivial. % 23.54/23.73 apply (zenon_L202_); trivial. % 23.54/23.73 (* end of lemma zenon_L203_ *) % 23.54/23.73 assert (zenon_L204_ : (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e11)) = (e12))) -> (~((op1 (e13) (e13)) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((h4 (op1 (e10) (e12))) = (op2 (h4 (e10)) (h4 (e12))))) -> ((h4 (e13)) = (e23)) -> ((op2 (e20) (e22)) = (e23)) -> ((h4 (e10)) = (op2 (e23) (e23))) -> ((e20) = (op2 (e23) (e23))) -> ((h4 (e12)) = (op2 (op2 (e23) (e23)) (e23))) -> ((e22) = (op2 (op2 (e23) (e23)) (e23))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((op1 (e11) (e10)) = (e11)) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((e10) = (e11))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> ((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((e11) = (op1 (op1 (op1 (e13) (e13)) (e13)) (e13))) -> (~((op1 (e12) (e12)) = (e13))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12))) -> ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e10)) = (e13)) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> ((e12) = (op1 (op1 (e13) (e13)) (e13))) -> ((e10) = (op1 (e13) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> False). % 23.54/23.73 do 0 intro. intros zenon_H7b zenon_H68 zenon_H7c zenon_Hb0 zenon_Ha6 zenon_H27b zenon_H2e zenon_H264 zenon_H23b zenon_H107 zenon_H26c zenon_H26d zenon_H26f zenon_H3b zenon_H14 zenon_H26a zenon_H14e zenon_Hb1 zenon_Hbf zenon_H9a zenon_H66 zenon_H242 zenon_H112 zenon_H94 zenon_H62 zenon_H80 zenon_H8b zenon_H8f zenon_H120 zenon_H12c zenon_Hbc zenon_H87 zenon_Hc3 zenon_Hc0 zenon_Hfe zenon_H12f zenon_Hc9 zenon_Hf3 zenon_Hce zenon_H9d zenon_H23f zenon_H2b zenon_H281 zenon_H4d zenon_H28 zenon_H75. % 23.54/23.73 apply (zenon_or_s _ _ zenon_H7b); [ zenon_intro zenon_H67 | zenon_intro zenon_H7d ]. % 23.54/23.73 apply (zenon_L20_); trivial. % 23.54/23.73 apply (zenon_or_s _ _ zenon_H7d); [ zenon_intro zenon_H7f | zenon_intro zenon_H7e ]. % 23.54/23.73 exact (zenon_H7c zenon_H7f). % 23.54/23.73 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H6e | zenon_intro zenon_H74 ]. % 23.54/23.73 apply (zenon_or_s _ _ zenon_H281); [ zenon_intro zenon_H106 | zenon_intro zenon_H282 ]. % 23.54/23.73 apply (zenon_L178_); trivial. % 23.54/23.73 apply (zenon_or_s _ _ zenon_H282); [ zenon_intro zenon_H81 | zenon_intro zenon_H283 ]. % 23.54/23.73 apply (zenon_L30_); trivial. % 23.54/23.73 apply (zenon_or_s _ _ zenon_H283); [ zenon_intro zenon_Hbd | zenon_intro zenon_H23c ]. % 23.54/23.73 exact (zenon_Hbf zenon_Hbd). % 23.54/23.73 apply (zenon_or_s _ _ zenon_Hb1); [ zenon_intro zenon_H9f | zenon_intro zenon_Hb2 ]. % 23.54/23.73 apply (zenon_L203_); trivial. % 23.54/23.73 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H74 | zenon_intro zenon_Hb3 ]. % 23.54/23.73 apply (zenon_L22_); trivial. % 23.54/23.73 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_Ha5 | zenon_intro zenon_Hac ]. % 23.54/23.73 apply (zenon_L35_); trivial. % 23.54/23.73 exact (zenon_Hb0 zenon_Hac). % 23.54/23.73 apply (zenon_L22_); trivial. % 23.54/23.73 (* end of lemma zenon_L204_ *) % 23.54/23.73 assert (zenon_L205_ : (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> ((op2 (e20) (e20)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> ((op2 (e23) (e22)) = (e21)) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (e21) (e22)) = (e22)) -> ((op2 (e20) (e23)) = (e22)) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e11)) = (e12))) -> (~((op1 (e13) (e13)) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((h4 (op1 (e10) (e12))) = (op2 (h4 (e10)) (h4 (e12))))) -> ((h4 (e13)) = (e23)) -> ((h4 (e10)) = (op2 (e23) (e23))) -> ((e20) = (op2 (e23) (e23))) -> ((h4 (e12)) = (op2 (op2 (e23) (e23)) (e23))) -> ((e22) = (op2 (op2 (e23) (e23)) (e23))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((op1 (e11) (e10)) = (e11)) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((e10) = (e11))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> ((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((e11) = (op1 (op1 (op1 (e13) (e13)) (e13)) (e13))) -> (~((op1 (e12) (e12)) = (e13))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12))) -> ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e10)) = (e13)) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> ((e12) = (op1 (op1 (e13) (e13)) (e13))) -> ((e10) = (op1 (e13) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> False). % 23.54/23.73 do 0 intro. intros zenon_H284 zenon_H1a zenon_H25c zenon_H246 zenon_H245 zenon_H170 zenon_H1a1 zenon_H209 zenon_H7b zenon_H68 zenon_H7c zenon_Hb0 zenon_Ha6 zenon_H27b zenon_H2e zenon_H264 zenon_H23b zenon_H107 zenon_H26c zenon_H26d zenon_H3b zenon_H14 zenon_H26a zenon_H14e zenon_Hb1 zenon_Hbf zenon_H9a zenon_H66 zenon_H242 zenon_H112 zenon_H94 zenon_H62 zenon_H80 zenon_H8b zenon_H8f zenon_H120 zenon_H12c zenon_Hbc zenon_H87 zenon_Hc3 zenon_Hc0 zenon_Hfe zenon_H12f zenon_Hc9 zenon_Hf3 zenon_Hce zenon_H9d zenon_H23f zenon_H2b zenon_H281 zenon_H4d zenon_H28 zenon_H75. % 23.54/23.73 apply (zenon_or_s _ _ zenon_H284); [ zenon_intro zenon_H212 | zenon_intro zenon_H285 ]. % 23.54/23.73 apply (zenon_L196_); trivial. % 23.54/23.73 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H208 | zenon_intro zenon_H286 ]. % 23.54/23.73 apply (zenon_L179_); trivial. % 23.54/23.73 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H23 | zenon_intro zenon_H26f ]. % 23.54/23.74 apply (zenon_L198_); trivial. % 23.54/23.74 apply (zenon_L204_); trivial. % 23.54/23.74 (* end of lemma zenon_L205_ *) % 23.54/23.74 assert (zenon_L206_ : ((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12))) -> ((e10) = (op1 (e13) (e13))) -> ((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))) -> (~((e21) = (e22))) -> ((op2 (e21) (e20)) = (e21)) -> (~((op2 (e21) (e21)) = (e22))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (~((e11) = (e12))) -> ((op1 (e11) (e10)) = (e11)) -> (~((op1 (e11) (e11)) = (e12))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> ((h4 (e10)) = (op2 (e23) (e23))) -> ((h4 (e12)) = (op2 (op2 (e23) (e23)) (e23))) -> ((h4 (e13)) = (e23)) -> (~((h4 (op1 (e10) (e12))) = (op2 (h4 (e10)) (h4 (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e12)) = (e11))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((e12) = (op1 (op1 (e13) (e13)) (e13))) -> ((e11) = (op1 (op1 (op1 (e13) (e13)) (e13)) (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e23)) = (e22))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e22)) = (e21))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((e20) = (op2 (e23) (e23))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((~((op2 (e21) (e21)) = (e20)))\/((op2 (e21) (e20)) = (e21))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((~((op2 (e22) (e22)) = (e20)))\/((op2 (e22) (e20)) = (e22))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (e23))) -> ((e22) = (op2 (op2 (e23) (e23)) (e23))) -> ((e21) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((~((op2 (e22) (e22)) = (e22)))\/((op2 (e22) (e22)) = (e22))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((e20) = (e21))) -> ((op2 (e20) (e20)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((~((op2 (e21) (e21)) = (e22)))\/((op2 (e21) (e22)) = (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e20)) = (e23)) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> ((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))) -> False). % 23.54/23.74 do 0 intro. intros zenon_Hc8 zenon_H28 zenon_H287 zenon_H16a zenon_H168 zenon_H17e zenon_H288 zenon_H284 zenon_H68 zenon_H66 zenon_H7c zenon_H281 zenon_H27b zenon_H3b zenon_H26a zenon_H26d zenon_H26c zenon_H107 zenon_H264 zenon_H75 zenon_Ha6 zenon_Hb1 zenon_Hbf zenon_H112 zenon_H23b zenon_H9d zenon_H9a zenon_Hce zenon_Hf3 zenon_Hc9 zenon_H12f zenon_Hfe zenon_Hc0 zenon_H4d zenon_H87 zenon_Hbc zenon_H12c zenon_H120 zenon_H8f zenon_H8b zenon_H80 zenon_H2e zenon_H62 zenon_H94 zenon_H23f zenon_H242 zenon_H7b zenon_H209 zenon_H25c zenon_H177 zenon_H1a8 zenon_H1b2 zenon_H1b3 zenon_H1c1 zenon_H214 zenon_H14 zenon_H245 zenon_H19f zenon_H19b zenon_H1d3 zenon_H1f5 zenon_H1cf zenon_H231 zenon_H200 zenon_H1c2 zenon_H1c5 zenon_H14e zenon_H189 zenon_H1be zenon_H22e zenon_H222 zenon_H191 zenon_H18d zenon_H182 zenon_H1a zenon_H164 zenon_H19e zenon_H249 zenon_H17 zenon_H24c zenon_H17d zenon_H27. % 23.54/23.74 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Ha5 ]. % 23.54/23.74 apply (zenon_or_s _ _ zenon_H27); [ zenon_intro zenon_H2a | zenon_intro zenon_H2b ]. % 23.54/23.74 apply zenon_H2a. apply sym_equal. exact zenon_H28. % 23.54/23.74 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H240 ]. % 23.54/23.74 apply (zenon_or_s _ _ zenon_H17d); [ zenon_intro zenon_H169 | zenon_intro zenon_H17f ]. % 23.54/23.74 apply (zenon_L101_); trivial. % 23.54/23.74 apply (zenon_or_s _ _ zenon_H17f); [ zenon_intro zenon_H181 | zenon_intro zenon_H180 ]. % 23.54/23.74 exact (zenon_H17e zenon_H181). % 23.54/23.74 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H170 | zenon_intro zenon_H176 ]. % 23.54/23.74 apply (zenon_or_s _ _ zenon_H288); [ zenon_intro zenon_H208 | zenon_intro zenon_H289 ]. % 23.54/23.74 apply (zenon_L181_); trivial. % 23.54/23.74 apply (zenon_or_s _ _ zenon_H289); [ zenon_intro zenon_H183 | zenon_intro zenon_H28a ]. % 23.54/23.74 apply (zenon_L111_); trivial. % 23.54/23.74 apply (zenon_or_s _ _ zenon_H28a); [ zenon_intro zenon_H1bf | zenon_intro zenon_H246 ]. % 23.54/23.74 exact (zenon_H1c1 zenon_H1bf). % 23.54/23.74 apply (zenon_or_s _ _ zenon_H1b3); [ zenon_intro zenon_H1a1 | zenon_intro zenon_H1b4 ]. % 23.54/23.74 apply (zenon_L205_); trivial. % 23.54/23.74 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H176 | zenon_intro zenon_H1b5 ]. % 23.54/23.74 apply (zenon_L103_); trivial. % 23.54/23.74 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H1ae ]. % 23.54/23.74 apply (zenon_L116_); trivial. % 23.54/23.74 exact (zenon_H1b2 zenon_H1ae). % 23.54/23.74 apply (zenon_L103_); trivial. % 23.54/23.74 apply (zenon_L177_); trivial. % 23.54/23.74 apply (zenon_L35_); trivial. % 23.54/23.74 (* end of lemma zenon_L206_ *) % 23.54/23.74 assert (zenon_L207_ : ((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))) -> (~((e21) = (e22))) -> ((op2 (e21) (e20)) = (e21)) -> (~((op2 (e21) (e21)) = (e22))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> ((h4 (e10)) = (op2 (e23) (e23))) -> ((h4 (e12)) = (op2 (op2 (e23) (e23)) (e23))) -> ((h4 (e13)) = (e23)) -> (~((h4 (op1 (e10) (e12))) = (op2 (h4 (e10)) (h4 (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e23)) = (e22))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e22)) = (e21))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((e20) = (op2 (e23) (e23))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((~((op2 (e21) (e21)) = (e20)))\/((op2 (e21) (e20)) = (e21))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((~((op2 (e22) (e22)) = (e20)))\/((op2 (e22) (e20)) = (e22))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (e23))) -> ((e22) = (op2 (op2 (e23) (e23)) (e23))) -> ((e21) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((~((op2 (e22) (e22)) = (e22)))\/((op2 (e22) (e22)) = (e22))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((e20) = (e21))) -> ((op2 (e20) (e20)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((~((op2 (e21) (e21)) = (e22)))\/((op2 (e21) (e22)) = (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e20)) = (e23)) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> ((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))) -> ((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12))) -> ((e12) = (op1 (op1 (e13) (e13)) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((op1 (e10) (e10)) = (e10)) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (e11))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((e10) = (op1 (e13) (e13))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((e11) = (op1 (op1 (op1 (e13) (e13)) (e13)) (e13))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((e10) = (e11))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> ((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12))) -> False). % 23.54/23.74 do 0 intro. intros zenon_H287 zenon_H16a zenon_H168 zenon_H17e zenon_H288 zenon_H284 zenon_H281 zenon_H27b zenon_H3b zenon_H26a zenon_H26d zenon_H26c zenon_H107 zenon_H264 zenon_Hb1 zenon_H112 zenon_H23b zenon_H9d zenon_H9a zenon_Hce zenon_Hf3 zenon_Hc9 zenon_H12f zenon_Hfe zenon_Hbc zenon_H12c zenon_H23f zenon_H242 zenon_H209 zenon_H25c zenon_H177 zenon_H1a8 zenon_H1b2 zenon_H1b3 zenon_H1c1 zenon_H214 zenon_H14 zenon_H245 zenon_H19f zenon_H19b zenon_H1d3 zenon_H1f5 zenon_H1cf zenon_H231 zenon_H200 zenon_H1c2 zenon_H1c5 zenon_H14e zenon_H189 zenon_H1be zenon_H22e zenon_H222 zenon_H191 zenon_H18d zenon_H182 zenon_H1a zenon_H164 zenon_H19e zenon_H249 zenon_H17 zenon_H24c zenon_H17d zenon_H27 zenon_Hc8 zenon_H4d zenon_Ha6 zenon_H62 zenon_H2e zenon_Hc0 zenon_Hbf zenon_H6f zenon_H8b zenon_H28 zenon_H8f zenon_H94 zenon_H95 zenon_H87 zenon_H86 zenon_H80 zenon_H96 zenon_H68 zenon_H75 zenon_H7b zenon_H120. % 23.54/23.74 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H90 | zenon_intro zenon_H66 ]. % 23.54/23.74 apply (zenon_L195_); trivial. % 23.54/23.74 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H7c | zenon_intro zenon_H81 ]. % 23.54/23.74 apply (zenon_L206_); trivial. % 23.54/23.74 apply (zenon_L30_); trivial. % 23.54/23.74 (* end of lemma zenon_L207_ *) % 23.54/23.74 assert (zenon_L208_ : ((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12))) -> (~((op1 (e12) (e11)) = (e12))) -> ((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12))) -> ((e12) = (op1 (op1 (e13) (e13)) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e11) (e11)) = (e10))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((e10) = (op1 (e13) (e13))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((e11) = (op1 (op1 (op1 (e13) (e13)) (e13)) (e13))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((e10) = (e11))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> ((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12))) -> False). % 23.54/23.74 do 0 intro. intros zenon_Hd1 zenon_H28b zenon_Hc8 zenon_H4d zenon_Ha6 zenon_H62 zenon_H2e zenon_H90 zenon_Hc0 zenon_H6f zenon_H8b zenon_H28 zenon_H8f zenon_H94 zenon_H95 zenon_H87 zenon_H86 zenon_H80 zenon_H96 zenon_H68 zenon_H75 zenon_H7b zenon_H120. % 23.54/23.74 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hcb ]. % 23.54/23.74 apply (zenon_L195_); trivial. % 23.54/23.74 exact (zenon_H28b zenon_Hcb). % 23.54/23.74 (* end of lemma zenon_L208_ *) % 23.54/23.74 assert (zenon_L209_ : ((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> ((op2 (e23) (e20)) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((~((op2 (e21) (e21)) = (e22)))\/((op2 (e21) (e22)) = (e21))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((op2 (e20) (e20)) = (e20)) -> (~((e20) = (e21))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> ((~((op2 (e22) (e22)) = (e22)))\/((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((e21) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> ((e22) = (op2 (op2 (e23) (e23)) (e23))) -> (~((op2 (e22) (e22)) = (e23))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((~((op2 (e22) (e22)) = (e20)))\/((op2 (e22) (e20)) = (e22))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((~((op2 (e21) (e21)) = (e20)))\/((op2 (e21) (e20)) = (e21))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((e20) = (op2 (e23) (e23))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e22)) = (e21))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e23) (e23)) = (e22))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((h4 (op1 (e10) (e12))) = (op2 (h4 (e10)) (h4 (e12))))) -> ((h4 (e13)) = (e23)) -> ((h4 (e12)) = (op2 (op2 (e23) (e23)) (e23))) -> ((h4 (e10)) = (op2 (e23) (e23))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e21) (e21)) = (e22))) -> ((op2 (e21) (e20)) = (e21)) -> (~((e21) = (e22))) -> ((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))) -> ((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((e10) = (e11))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((e11) = (op1 (op1 (op1 (e13) (e13)) (e13)) (e13))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> ((e10) = (op1 (e13) (e13))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (e13)) (e13))) -> ((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12))) -> (~((op1 (e12) (e11)) = (e12))) -> ((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12))) -> False). % 23.54/23.74 do 0 intro. intros zenon_H27 zenon_H17d zenon_H24c zenon_H17 zenon_H249 zenon_H19e zenon_H164 zenon_H1a zenon_H182 zenon_H18d zenon_H191 zenon_H222 zenon_H22e zenon_H1be zenon_H189 zenon_H14e zenon_H1c5 zenon_H1c2 zenon_H200 zenon_H231 zenon_H1cf zenon_H1f5 zenon_H1d3 zenon_H19b zenon_H19f zenon_H245 zenon_H14 zenon_H214 zenon_H1c1 zenon_H1b3 zenon_H1b2 zenon_H1a8 zenon_H177 zenon_H25c zenon_H209 zenon_H242 zenon_H23f zenon_H12c zenon_Hbc zenon_Hfe zenon_H12f zenon_Hc9 zenon_Hf3 zenon_Hce zenon_H9a zenon_H9d zenon_H23b zenon_H112 zenon_Hb1 zenon_H264 zenon_H107 zenon_H26c zenon_H26d zenon_H26a zenon_H3b zenon_H27b zenon_H281 zenon_H284 zenon_H288 zenon_H17e zenon_H168 zenon_H16a zenon_H287 zenon_H120 zenon_H7b zenon_H75 zenon_H68 zenon_H96 zenon_H80 zenon_H86 zenon_H87 zenon_H95 zenon_H94 zenon_H8f zenon_H28 zenon_H8b zenon_H6f zenon_Hc0 zenon_H2e zenon_H62 zenon_Ha6 zenon_H4d zenon_Hc8 zenon_H28b zenon_Hd1. % 23.54/23.74 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H90 | zenon_intro zenon_H66 ]. % 23.54/23.74 apply (zenon_L208_); trivial. % 23.54/23.74 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H7c | zenon_intro zenon_H81 ]. % 23.54/23.74 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hcb ]. % 23.54/23.74 apply (zenon_L206_); trivial. % 23.54/23.74 exact (zenon_H28b zenon_Hcb). % 23.54/23.74 apply (zenon_L30_); trivial. % 23.54/23.74 (* end of lemma zenon_L209_ *) % 23.54/23.74 assert (zenon_L210_ : ((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12)))) -> ((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12))) -> ((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))) -> (~((e21) = (e22))) -> ((op2 (e21) (e20)) = (e21)) -> (~((op2 (e21) (e21)) = (e22))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> ((h4 (e10)) = (op2 (e23) (e23))) -> ((h4 (e12)) = (op2 (op2 (e23) (e23)) (e23))) -> ((h4 (e13)) = (e23)) -> (~((h4 (op1 (e10) (e12))) = (op2 (h4 (e10)) (h4 (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e23)) = (e22))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e22)) = (e21))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((e20) = (op2 (e23) (e23))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((~((op2 (e21) (e21)) = (e20)))\/((op2 (e21) (e20)) = (e21))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((~((op2 (e22) (e22)) = (e20)))\/((op2 (e22) (e20)) = (e22))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (e23))) -> ((e22) = (op2 (op2 (e23) (e23)) (e23))) -> ((e21) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((~((op2 (e22) (e22)) = (e22)))\/((op2 (e22) (e22)) = (e22))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((e20) = (e21))) -> ((op2 (e20) (e20)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((~((op2 (e21) (e21)) = (e22)))\/((op2 (e21) (e22)) = (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e20)) = (e23)) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> ((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))) -> ((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12))) -> ((e12) = (op1 (op1 (e13) (e13)) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((e10) = (op1 (e13) (e13))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((e11) = (op1 (op1 (op1 (e13) (e13)) (e13)) (e13))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((e10) = (e11))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> ((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12))) -> ((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (e11))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> False). % 23.54/23.74 do 0 intro. intros zenon_H28c zenon_Hd1 zenon_H287 zenon_H16a zenon_H168 zenon_H17e zenon_H288 zenon_H284 zenon_H281 zenon_H27b zenon_H3b zenon_H26a zenon_H26d zenon_H26c zenon_H107 zenon_H264 zenon_Hb1 zenon_H112 zenon_H23b zenon_H9d zenon_H9a zenon_Hce zenon_Hf3 zenon_Hc9 zenon_H12f zenon_Hfe zenon_Hbc zenon_H12c zenon_H23f zenon_H242 zenon_H209 zenon_H25c zenon_H177 zenon_H1a8 zenon_H1b2 zenon_H1b3 zenon_H1c1 zenon_H214 zenon_H14 zenon_H245 zenon_H19f zenon_H19b zenon_H1d3 zenon_H1f5 zenon_H1cf zenon_H231 zenon_H200 zenon_H1c2 zenon_H1c5 zenon_H14e zenon_H189 zenon_H1be zenon_H22e zenon_H222 zenon_H191 zenon_H18d zenon_H182 zenon_H1a zenon_H164 zenon_H19e zenon_H249 zenon_H17 zenon_H24c zenon_H17d zenon_H27 zenon_Hc8 zenon_H4d zenon_Ha6 zenon_H62 zenon_Hc0 zenon_H6f zenon_H8b zenon_H28 zenon_H8f zenon_H94 zenon_H95 zenon_H87 zenon_H86 zenon_H80 zenon_H96 zenon_H68 zenon_H75 zenon_H7b zenon_H120 zenon_H9e zenon_H5c zenon_H4c zenon_H5b zenon_H53 zenon_H5a zenon_Hb4. % 23.54/23.74 apply (zenon_or_s _ _ zenon_H28c); [ zenon_intro zenon_Hbf | zenon_intro zenon_H28b ]. % 23.54/23.74 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H2e | zenon_intro zenon_Hb5 ]. % 23.54/23.74 apply (zenon_L207_); trivial. % 23.54/23.74 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_H99 | zenon_intro zenon_Hb6 ]. % 23.54/23.74 exact (zenon_H96 zenon_H99). % 23.54/23.74 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_H6d | zenon_intro zenon_Ha0 ]. % 23.54/23.74 apply (zenon_L33_); trivial. % 23.54/23.74 apply (zenon_L37_); trivial. % 23.54/23.74 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H2e | zenon_intro zenon_Hb5 ]. % 23.54/23.74 apply (zenon_L209_); trivial. % 23.54/23.74 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_H99 | zenon_intro zenon_Hb6 ]. % 23.54/23.74 exact (zenon_H96 zenon_H99). % 23.54/23.74 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_H6d | zenon_intro zenon_Ha0 ]. % 23.54/23.74 apply (zenon_L33_); trivial. % 23.54/23.74 apply (zenon_L37_); trivial. % 23.54/23.74 (* end of lemma zenon_L210_ *) % 23.54/23.74 assert (zenon_L211_ : ((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12)))) -> ((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12))) -> ((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))) -> (~((e21) = (e22))) -> ((op2 (e21) (e20)) = (e21)) -> (~((op2 (e21) (e21)) = (e22))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> ((h4 (e10)) = (op2 (e23) (e23))) -> ((h4 (e12)) = (op2 (op2 (e23) (e23)) (e23))) -> ((h4 (e13)) = (e23)) -> (~((h4 (op1 (e10) (e12))) = (op2 (h4 (e10)) (h4 (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e23)) = (e22))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e22)) = (e21))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((e20) = (op2 (e23) (e23))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((~((op2 (e21) (e21)) = (e20)))\/((op2 (e21) (e20)) = (e21))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((~((op2 (e22) (e22)) = (e20)))\/((op2 (e22) (e20)) = (e22))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (e23))) -> ((e22) = (op2 (op2 (e23) (e23)) (e23))) -> ((e21) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((~((op2 (e22) (e22)) = (e22)))\/((op2 (e22) (e22)) = (e22))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((e20) = (e21))) -> ((op2 (e20) (e20)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((~((op2 (e21) (e21)) = (e22)))\/((op2 (e21) (e22)) = (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e20)) = (e23)) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> ((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))) -> ((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12))) -> ((e12) = (op1 (op1 (e13) (e13)) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((e10) = (op1 (e13) (e13))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((e11) = (op1 (op1 (op1 (e13) (e13)) (e13)) (e13))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((e10) = (e11))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> ((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12))) -> ((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10))) -> ((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e10) (e11)) = (e10))) -> ((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> False). % 23.54/23.74 do 0 intro. intros zenon_H28c zenon_Hd1 zenon_H287 zenon_H16a zenon_H168 zenon_H17e zenon_H288 zenon_H284 zenon_H281 zenon_H27b zenon_H3b zenon_H26a zenon_H26d zenon_H26c zenon_H107 zenon_H264 zenon_Hb1 zenon_H112 zenon_H23b zenon_H9d zenon_H9a zenon_Hce zenon_Hf3 zenon_Hc9 zenon_H12f zenon_Hfe zenon_Hbc zenon_H12c zenon_H23f zenon_H242 zenon_H209 zenon_H25c zenon_H177 zenon_H1a8 zenon_H1b2 zenon_H1b3 zenon_H1c1 zenon_H214 zenon_H14 zenon_H245 zenon_H19f zenon_H19b zenon_H1d3 zenon_H1f5 zenon_H1cf zenon_H231 zenon_H200 zenon_H1c2 zenon_H1c5 zenon_H14e zenon_H189 zenon_H1be zenon_H22e zenon_H222 zenon_H191 zenon_H18d zenon_H182 zenon_H1a zenon_H164 zenon_H19e zenon_H249 zenon_H17 zenon_H24c zenon_H17d zenon_H27 zenon_Hc8 zenon_H4d zenon_Ha6 zenon_H62 zenon_Hc0 zenon_H6f zenon_H8b zenon_H28 zenon_H8f zenon_H94 zenon_H95 zenon_H87 zenon_H86 zenon_H80 zenon_H96 zenon_H68 zenon_H75 zenon_H7b zenon_H120 zenon_H9e zenon_H5a zenon_H53 zenon_H4c zenon_H5c zenon_Hb7 zenon_Hb8 zenon_Hb4. % 23.54/23.74 apply (zenon_or_s _ _ zenon_H28c); [ zenon_intro zenon_Hbf | zenon_intro zenon_H28b ]. % 23.54/23.74 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H2e | zenon_intro zenon_Hb5 ]. % 23.54/23.74 apply (zenon_L207_); trivial. % 23.54/23.74 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_H99 | zenon_intro zenon_Hb6 ]. % 23.54/23.74 exact (zenon_H96 zenon_H99). % 23.54/23.74 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_H6d | zenon_intro zenon_Ha0 ]. % 23.54/23.74 apply (zenon_L39_); trivial. % 23.54/23.74 apply (zenon_L37_); trivial. % 23.54/23.74 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H2e | zenon_intro zenon_Hb5 ]. % 23.54/23.74 apply (zenon_L209_); trivial. % 23.54/23.74 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_H99 | zenon_intro zenon_Hb6 ]. % 23.54/23.74 exact (zenon_H96 zenon_H99). % 23.54/23.74 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_H6d | zenon_intro zenon_Ha0 ]. % 23.54/23.74 apply (zenon_L39_); trivial. % 23.54/23.74 apply (zenon_L37_); trivial. % 23.54/23.74 (* end of lemma zenon_L211_ *) % 23.54/23.74 assert (zenon_L212_ : ((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10)))) -> ((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10))) -> ((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12)))) -> ((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12))) -> ((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))) -> (~((e21) = (e22))) -> ((op2 (e21) (e20)) = (e21)) -> (~((op2 (e21) (e21)) = (e22))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> ((h4 (e10)) = (op2 (e23) (e23))) -> ((h4 (e12)) = (op2 (op2 (e23) (e23)) (e23))) -> ((h4 (e13)) = (e23)) -> (~((h4 (op1 (e10) (e12))) = (op2 (h4 (e10)) (h4 (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e23)) = (e22))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e22)) = (e21))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((e20) = (op2 (e23) (e23))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((~((op2 (e21) (e21)) = (e20)))\/((op2 (e21) (e20)) = (e21))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((~((op2 (e22) (e22)) = (e20)))\/((op2 (e22) (e20)) = (e22))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (e23))) -> ((e22) = (op2 (op2 (e23) (e23)) (e23))) -> ((e21) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((~((op2 (e22) (e22)) = (e22)))\/((op2 (e22) (e22)) = (e22))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((e20) = (e21))) -> ((op2 (e20) (e20)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((~((op2 (e21) (e21)) = (e22)))\/((op2 (e21) (e22)) = (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e20)) = (e23)) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> ((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))) -> ((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12))) -> ((e12) = (op1 (op1 (e13) (e13)) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((e10) = (op1 (e13) (e13))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((e11) = (op1 (op1 (op1 (e13) (e13)) (e13)) (e13))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((e10) = (e11))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> ((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12))) -> ((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11)))) -> False). % 23.54/23.74 do 0 intro. intros zenon_Hba zenon_Hb8 zenon_H28c zenon_Hd1 zenon_H287 zenon_H16a zenon_H168 zenon_H17e zenon_H288 zenon_H284 zenon_H281 zenon_H27b zenon_H3b zenon_H26a zenon_H26d zenon_H26c zenon_H107 zenon_H264 zenon_Hb1 zenon_H112 zenon_H23b zenon_H9d zenon_H9a zenon_Hce zenon_Hf3 zenon_Hc9 zenon_H12f zenon_Hfe zenon_Hbc zenon_H12c zenon_H23f zenon_H242 zenon_H209 zenon_H25c zenon_H177 zenon_H1a8 zenon_H1b2 zenon_H1b3 zenon_H1c1 zenon_H214 zenon_H14 zenon_H245 zenon_H19f zenon_H19b zenon_H1d3 zenon_H1f5 zenon_H1cf zenon_H231 zenon_H200 zenon_H1c2 zenon_H1c5 zenon_H14e zenon_H189 zenon_H1be zenon_H22e zenon_H222 zenon_H191 zenon_H18d zenon_H182 zenon_H1a zenon_H164 zenon_H19e zenon_H249 zenon_H17 zenon_H24c zenon_H17d zenon_H27 zenon_Hc8 zenon_H4d zenon_Ha6 zenon_H62 zenon_Hc0 zenon_H6f zenon_H8b zenon_H28 zenon_H8f zenon_H94 zenon_H95 zenon_H87 zenon_H86 zenon_H80 zenon_H68 zenon_H75 zenon_H7b zenon_H120 zenon_H9e zenon_H5c zenon_H4c zenon_H53 zenon_H5a zenon_Hb4 zenon_Hbb. % 23.54/23.74 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H5b | zenon_intro zenon_Hb7 ]. % 23.54/23.74 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H96 | zenon_intro zenon_H96 ]. % 23.54/23.74 apply (zenon_L210_); trivial. % 23.54/23.74 apply (zenon_L210_); trivial. % 23.54/23.74 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H96 | zenon_intro zenon_H96 ]. % 23.54/23.74 apply (zenon_L211_); trivial. % 23.54/23.74 apply (zenon_L211_); trivial. % 23.54/23.74 (* end of lemma zenon_L212_ *) % 23.54/23.74 assert (zenon_L213_ : ((~((op2 (e22) (e22)) = (e23)))\/((op2 (e22) (e23)) = (e22))) -> ((e20) = (op2 (e23) (e23))) -> ((~((op2 (e23) (e23)) = (e22)))\/((op2 (e23) (e22)) = (e23))) -> ((e10) = (op1 (e13) (e13))) -> ((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> ((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> ((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10))) -> ((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((e11) = (e12))) -> (~((e10) = (e11))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((e11) = (op1 (op1 (op1 (e13) (e13)) (e13)) (e13))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (e13)) (e13))) -> ((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((~((op2 (e21) (e21)) = (e22)))\/((op2 (e21) (e22)) = (e21))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((op2 (e20) (e20)) = (e20)) -> (~((e20) = (e21))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> ((~((op2 (e22) (e22)) = (e22)))\/((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((e21) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> ((e22) = (op2 (op2 (e23) (e23)) (e23))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((~((op2 (e22) (e22)) = (e20)))\/((op2 (e22) (e20)) = (e22))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((~((op2 (e21) (e21)) = (e20)))\/((op2 (e21) (e20)) = (e21))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e22)) = (e21))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((h4 (op1 (e10) (e12))) = (op2 (h4 (e10)) (h4 (e12))))) -> ((h4 (e13)) = (e23)) -> ((h4 (e12)) = (op2 (op2 (e23) (e23)) (e23))) -> ((h4 (e10)) = (op2 (e23) (e23))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e21) (e21)) = (e22))) -> ((op2 (e21) (e20)) = (e21)) -> (~((e21) = (e22))) -> ((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))) -> ((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12))) -> ((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> ((((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e11) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e11) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e11) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e12) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e12) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e12) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e13) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e13) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e13) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))\/(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))))))))))))))))) -> ((~((op2 (e23) (e23)) = (e20)))\/((op2 (e23) (e20)) = (e23))) -> False). % 23.54/23.74 do 0 intro. intros zenon_H1ca zenon_H14 zenon_H28d zenon_H28 zenon_H27 zenon_Hb4 zenon_H5a zenon_H53 zenon_H4c zenon_H5c zenon_H9e zenon_H120 zenon_H7b zenon_H75 zenon_H68 zenon_H80 zenon_H86 zenon_H87 zenon_H95 zenon_H94 zenon_H8f zenon_H8b zenon_H6f zenon_Hc0 zenon_H62 zenon_Ha6 zenon_H4d zenon_Hc8 zenon_H17d zenon_H24c zenon_H249 zenon_H19e zenon_H164 zenon_H1a zenon_H182 zenon_H18d zenon_H191 zenon_H222 zenon_H22e zenon_H1be zenon_H189 zenon_H14e zenon_H1c2 zenon_H200 zenon_H231 zenon_H1cf zenon_H1f5 zenon_H1d3 zenon_H19b zenon_H19f zenon_H245 zenon_H214 zenon_H1c1 zenon_H1b3 zenon_H1a8 zenon_H177 zenon_H25c zenon_H209 zenon_H242 zenon_H23f zenon_H12c zenon_Hbc zenon_Hfe zenon_H12f zenon_Hc9 zenon_Hf3 zenon_Hce zenon_H9a zenon_H9d zenon_H23b zenon_H112 zenon_Hb1 zenon_H264 zenon_H107 zenon_H26c zenon_H26d zenon_H26a zenon_H3b zenon_H27b zenon_H281 zenon_H284 zenon_H288 zenon_H17e zenon_H168 zenon_H16a zenon_H287 zenon_Hd1 zenon_Hb8 zenon_Hcf zenon_Hdb zenon_He7 zenon_Heb zenon_H10f zenon_H11a zenon_Hf9 zenon_H11d zenon_H101 zenon_H121 zenon_H132 zenon_H135 zenon_H13. % 23.54/23.74 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H1a7 ]. % 23.54/23.74 apply (zenon_or_s _ _ zenon_H13); [ zenon_intro zenon_H16 | zenon_intro zenon_H17 ]. % 23.54/23.75 apply zenon_H16. apply sym_equal. exact zenon_H14. % 23.54/23.75 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H1b2 | zenon_intro zenon_H24a ]. % 23.54/23.75 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H2c | zenon_intro zenon_H136 ]. % 23.54/23.75 apply (zenon_L7_); trivial. % 23.54/23.75 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H34 | zenon_intro zenon_H137 ]. % 23.54/23.75 apply (zenon_L8_); trivial. % 23.54/23.75 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H36 | zenon_intro zenon_H138 ]. % 23.54/23.75 apply (zenon_L9_); trivial. % 23.54/23.75 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H38 | zenon_intro zenon_H139 ]. % 23.54/23.75 apply (zenon_L10_); trivial. % 23.54/23.75 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H13b | zenon_intro zenon_H13a ]. % 23.54/23.75 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_H63. zenon_intro zenon_H13c. % 23.54/23.75 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_Hba. zenon_intro zenon_H13d. % 23.54/23.75 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_Hbb. zenon_intro zenon_H13e. % 23.54/23.75 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_H28c. zenon_intro zenon_H28e. % 23.54/23.75 apply (zenon_L212_); trivial. % 23.54/23.75 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H140 | zenon_intro zenon_H13f ]. % 23.54/23.75 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H99. zenon_intro zenon_H13c. % 23.54/23.75 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_Hba. zenon_intro zenon_H13d. % 23.54/23.75 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_Hbb. zenon_intro zenon_H13e. % 23.54/23.75 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_H28c. zenon_intro zenon_H28e. % 23.54/23.75 apply (zenon_L212_); trivial. % 23.54/23.75 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H142 | zenon_intro zenon_H141 ]. % 23.54/23.75 apply (zenon_and_s _ _ zenon_H142). zenon_intro zenon_H6e. zenon_intro zenon_H13c. % 23.54/23.75 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_Hba. zenon_intro zenon_H13d. % 23.54/23.75 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_Hbb. zenon_intro zenon_H13e. % 23.54/23.75 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_H28c. zenon_intro zenon_H28e. % 23.54/23.75 apply (zenon_L212_); trivial. % 23.54/23.75 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H144 | zenon_intro zenon_H143 ]. % 23.54/23.75 apply (zenon_and_s _ _ zenon_H144). zenon_intro zenon_He4. zenon_intro zenon_H13c. % 23.54/23.75 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_Hba. zenon_intro zenon_H13d. % 23.54/23.75 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_Hbb. zenon_intro zenon_H13e. % 23.54/23.75 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_H28c. zenon_intro zenon_H28e. % 23.54/23.75 apply (zenon_L212_); trivial. % 23.54/23.75 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H145 ]. % 23.54/23.75 apply (zenon_L47_); trivial. % 23.54/23.75 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_He1 | zenon_intro zenon_H146 ]. % 23.54/23.75 apply (zenon_L49_); trivial. % 23.54/23.75 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_He2 | zenon_intro zenon_H147 ]. % 23.54/23.75 apply (zenon_L50_); trivial. % 23.54/23.75 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_Hea | zenon_intro zenon_H148 ]. % 23.54/23.75 apply (zenon_L53_); trivial. % 23.54/23.75 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H149 ]. % 23.54/23.75 apply (zenon_L55_); trivial. % 23.54/23.75 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H124 | zenon_intro zenon_H14a ]. % 23.54/23.75 apply (zenon_L78_); trivial. % 23.54/23.75 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_H133 | zenon_intro zenon_H134 ]. % 23.54/23.75 apply (zenon_L91_); trivial. % 23.54/23.75 apply (zenon_L92_); trivial. % 23.54/23.75 apply (zenon_L180_); trivial. % 23.54/23.75 apply (zenon_L116_); trivial. % 23.54/23.75 (* end of lemma zenon_L213_ *) % 23.54/23.75 assert (zenon_L214_ : ((~((op2 (e23) (e23)) = (e22)))\/((op2 (e23) (e22)) = (e23))) -> ((e10) = (op1 (e13) (e13))) -> ((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> ((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> ((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10))) -> ((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((e11) = (e12))) -> (~((e10) = (e11))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((e11) = (op1 (op1 (op1 (e13) (e13)) (e13)) (e13))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (e13)) (e13))) -> ((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((~((op2 (e22) (e22)) = (e20)))\/((op2 (e22) (e20)) = (e22))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((~((op2 (e21) (e21)) = (e20)))\/((op2 (e21) (e20)) = (e21))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((h4 (op1 (e10) (e12))) = (op2 (h4 (e10)) (h4 (e12))))) -> ((h4 (e13)) = (e23)) -> ((h4 (e12)) = (op2 (op2 (e23) (e23)) (e23))) -> ((h4 (e10)) = (op2 (e23) (e23))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> ((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))) -> ((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12))) -> ((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> ((((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e11) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e11) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e11) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e12) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e12) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e12) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e13) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e13) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e13) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))\/(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))))))))))))))))) -> ((~((op2 (e23) (e23)) = (e20)))\/((op2 (e23) (e20)) = (e23))) -> ((~((op2 (e22) (e22)) = (e22)))\/((op2 (e22) (e22)) = (e22))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> ((e21) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((e20) = (e21))) -> (~((op2 (e21) (e21)) = (e21))) -> (~((e21) = (e22))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> ((e20) = (op2 (e23) (e23))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (e21))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> ((op2 (e20) (e20)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((e22) = (op2 (op2 (e23) (e23)) (e23))) -> ((~((op2 (e22) (e22)) = (e23)))\/((op2 (e22) (e23)) = (e22))) -> ((~((op2 (e21) (e21)) = (e22)))\/((op2 (e21) (e22)) = (e21))) -> False). % 23.54/23.75 do 0 intro. intros zenon_H28d zenon_H28 zenon_H27 zenon_Hb4 zenon_H5a zenon_H53 zenon_H4c zenon_H5c zenon_H9e zenon_H120 zenon_H7b zenon_H75 zenon_H68 zenon_H80 zenon_H86 zenon_H87 zenon_H95 zenon_H94 zenon_H8f zenon_H8b zenon_H6f zenon_Hc0 zenon_H62 zenon_Ha6 zenon_H4d zenon_Hc8 zenon_H24c zenon_H249 zenon_H22e zenon_H1be zenon_H200 zenon_H231 zenon_H1cf zenon_H1f5 zenon_H1d3 zenon_H19b zenon_H19f zenon_H245 zenon_H214 zenon_H1b3 zenon_H25c zenon_H209 zenon_H242 zenon_H23f zenon_H12c zenon_Hbc zenon_Hfe zenon_H12f zenon_Hc9 zenon_Hf3 zenon_Hce zenon_H9a zenon_H9d zenon_H23b zenon_H112 zenon_Hb1 zenon_H264 zenon_H107 zenon_H26c zenon_H26d zenon_H26a zenon_H3b zenon_H27b zenon_H281 zenon_H284 zenon_H288 zenon_H287 zenon_Hd1 zenon_Hb8 zenon_Hcf zenon_Hdb zenon_He7 zenon_Heb zenon_H10f zenon_H11a zenon_Hf9 zenon_H11d zenon_H101 zenon_H121 zenon_H132 zenon_H135 zenon_H13 zenon_H222 zenon_H194 zenon_H189 zenon_H188 zenon_H182 zenon_H193 zenon_H16a zenon_H177 zenon_H17d zenon_H191 zenon_H14 zenon_H18d zenon_H171 zenon_H1c1 zenon_H1c2 zenon_H1a zenon_H164 zenon_H1a8 zenon_H14e zenon_H1ca zenon_H19e. % 23.54/23.75 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_H192 | zenon_intro zenon_H168 ]. % 23.54/23.75 apply (zenon_L193_); trivial. % 23.54/23.75 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H17e | zenon_intro zenon_H183 ]. % 23.54/23.75 apply (zenon_L213_); trivial. % 23.54/23.75 apply (zenon_L111_); trivial. % 23.54/23.75 (* end of lemma zenon_L214_ *) % 23.54/23.75 assert (zenon_L215_ : ((~((op2 (e21) (e21)) = (e22)))\/((op2 (e21) (e22)) = (e21))) -> ((~((op2 (e22) (e22)) = (e22)))\/((op2 (e22) (e22)) = (e22))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> ((e21) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((e20) = (e21))) -> (~((op2 (e21) (e21)) = (e21))) -> (~((e21) = (e22))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> ((e20) = (op2 (e23) (e23))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e21) (e21)) = (e20))) -> ((op2 (e20) (e20)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((e22) = (op2 (op2 (e23) (e23)) (e23))) -> ((~((op2 (e22) (e22)) = (e23)))\/((op2 (e22) (e23)) = (e22))) -> (~((op2 (e22) (e21)) = (e22))) -> ((~((op2 (e22) (e22)) = (e21)))\/((op2 (e22) (e21)) = (e22))) -> False). % 23.54/23.75 do 0 intro. intros zenon_H19e zenon_H222 zenon_H194 zenon_H189 zenon_H188 zenon_H182 zenon_H193 zenon_H16a zenon_H177 zenon_H17d zenon_H191 zenon_H14 zenon_H18d zenon_H171 zenon_H1c2 zenon_H192 zenon_H1a zenon_H164 zenon_H1a8 zenon_H14e zenon_H1ca zenon_H28f zenon_H1d4. % 23.54/23.75 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H17e | zenon_intro zenon_H183 ]. % 23.54/23.75 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1d1 ]. % 23.54/23.75 apply (zenon_L192_); trivial. % 23.54/23.75 exact (zenon_H28f zenon_H1d1). % 23.54/23.75 apply (zenon_L110_); trivial. % 23.54/23.75 (* end of lemma zenon_L215_ *) % 23.54/23.75 assert (zenon_L216_ : ((~((op2 (e23) (e23)) = (e20)))\/((op2 (e23) (e20)) = (e23))) -> ((((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e11) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e11) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e11) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e12) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e12) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e12) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e13) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e13) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e13) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))\/(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))))))))))))))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10))) -> ((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12))) -> ((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> ((h4 (e10)) = (op2 (e23) (e23))) -> ((h4 (e12)) = (op2 (op2 (e23) (e23)) (e23))) -> ((h4 (e13)) = (e23)) -> (~((h4 (op1 (e10) (e12))) = (op2 (h4 (e10)) (h4 (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((~((op2 (e21) (e21)) = (e20)))\/((op2 (e21) (e20)) = (e21))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((~((op2 (e22) (e22)) = (e20)))\/((op2 (e22) (e20)) = (e22))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> ((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12))) -> ((e12) = (op1 (op1 (e13) (e13)) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((e11) = (op1 (op1 (op1 (e13) (e13)) (e13)) (e13))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((e10) = (e11))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> ((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12))) -> ((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> ((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))) -> ((e10) = (op1 (e13) (e13))) -> ((~((op2 (e23) (e23)) = (e22)))\/((op2 (e23) (e22)) = (e23))) -> ((~((op2 (e22) (e22)) = (e21)))\/((op2 (e22) (e21)) = (e22))) -> (~((op2 (e22) (e21)) = (e22))) -> ((~((op2 (e22) (e22)) = (e23)))\/((op2 (e22) (e23)) = (e22))) -> ((e22) = (op2 (op2 (e23) (e23)) (e23))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((op2 (e20) (e20)) = (e20)) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e20) = (op2 (e23) (e23))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((e21) = (e22))) -> (~((op2 (e21) (e21)) = (e21))) -> (~((e20) = (e21))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((e21) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> ((~((op2 (e22) (e22)) = (e22)))\/((op2 (e22) (e22)) = (e22))) -> ((~((op2 (e21) (e21)) = (e22)))\/((op2 (e21) (e22)) = (e21))) -> False). % 23.54/23.75 do 0 intro. intros zenon_H13 zenon_H135 zenon_H132 zenon_H121 zenon_H101 zenon_H11d zenon_Hf9 zenon_H11a zenon_H10f zenon_Heb zenon_He7 zenon_Hdb zenon_Hcf zenon_Hb8 zenon_Hd1 zenon_H287 zenon_H288 zenon_H284 zenon_H281 zenon_H27b zenon_H3b zenon_H26a zenon_H26d zenon_H26c zenon_H107 zenon_H264 zenon_Hb1 zenon_H112 zenon_H23b zenon_H9d zenon_H9a zenon_Hce zenon_Hf3 zenon_Hc9 zenon_H12f zenon_Hfe zenon_Hbc zenon_H12c zenon_H23f zenon_H242 zenon_H209 zenon_H25c zenon_H1b3 zenon_H214 zenon_H245 zenon_H19f zenon_H19b zenon_H1d3 zenon_H1f5 zenon_H1cf zenon_H231 zenon_H200 zenon_H1be zenon_H22e zenon_H249 zenon_H24c zenon_Hc8 zenon_H4d zenon_Ha6 zenon_H62 zenon_Hc0 zenon_H6f zenon_H8b zenon_H8f zenon_H94 zenon_H95 zenon_H87 zenon_H86 zenon_H80 zenon_H68 zenon_H75 zenon_H7b zenon_H120 zenon_H9e zenon_H5c zenon_H4c zenon_H53 zenon_H5a zenon_Hb4 zenon_H27 zenon_H28 zenon_H28d zenon_H1d4 zenon_H28f zenon_H1ca zenon_H14e zenon_H1a8 zenon_H164 zenon_H1a zenon_H1c2 zenon_H171 zenon_H18d zenon_H14 zenon_H191 zenon_H17d zenon_H177 zenon_H16a zenon_H193 zenon_H182 zenon_H188 zenon_H189 zenon_H194 zenon_H222 zenon_H19e. % 23.54/23.75 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_H192 | zenon_intro zenon_H168 ]. % 23.54/23.75 apply (zenon_L215_); trivial. % 23.54/23.75 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H17e | zenon_intro zenon_H183 ]. % 23.54/23.75 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1d1 ]. % 23.54/23.75 apply (zenon_L213_); trivial. % 23.54/23.75 exact (zenon_H28f zenon_H1d1). % 23.54/23.75 apply (zenon_L111_); trivial. % 23.54/23.75 (* end of lemma zenon_L216_ *) % 23.54/23.75 assert (zenon_L217_ : ((~((op2 (e22) (e22)) = (e21)))\/(~((op2 (e22) (e21)) = (e22)))) -> ((~((op2 (e22) (e22)) = (e21)))\/((op2 (e22) (e21)) = (e22))) -> ((~((op2 (e23) (e23)) = (e22)))\/((op2 (e23) (e22)) = (e23))) -> ((e10) = (op1 (e13) (e13))) -> ((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> ((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> ((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10))) -> ((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((e11) = (e12))) -> (~((e10) = (e11))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((e11) = (op1 (op1 (op1 (e13) (e13)) (e13)) (e13))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (e13)) (e13))) -> ((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((~((op2 (e22) (e22)) = (e20)))\/((op2 (e22) (e20)) = (e22))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((~((op2 (e21) (e21)) = (e20)))\/((op2 (e21) (e20)) = (e21))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((h4 (op1 (e10) (e12))) = (op2 (h4 (e10)) (h4 (e12))))) -> ((h4 (e13)) = (e23)) -> ((h4 (e12)) = (op2 (op2 (e23) (e23)) (e23))) -> ((h4 (e10)) = (op2 (e23) (e23))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> ((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))) -> ((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12))) -> ((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> ((((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e11) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e11) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e11) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e12) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e12) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e12) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e13) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e13) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e13) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))\/(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))))))))))))))))) -> ((~((op2 (e23) (e23)) = (e20)))\/((op2 (e23) (e20)) = (e23))) -> ((~((op2 (e22) (e22)) = (e22)))\/((op2 (e22) (e22)) = (e22))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> ((e21) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((e20) = (e21))) -> (~((op2 (e21) (e21)) = (e21))) -> (~((e21) = (e22))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> ((e20) = (op2 (e23) (e23))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((e22) = (op2 (op2 (e23) (e23)) (e23))) -> ((~((op2 (e22) (e22)) = (e23)))\/((op2 (e22) (e23)) = (e22))) -> ((~((op2 (e21) (e21)) = (e22)))\/((op2 (e21) (e22)) = (e21))) -> ((~((op2 (e20) (e20)) = (e20)))\/((op2 (e20) (e20)) = (e20))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e20)) = (e22))\/((op2 (e20) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (e21))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((~((op2 (e20) (e20)) = (e23)))\/((op2 (e20) (e23)) = (e20))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> False). % 23.54/23.75 do 0 intro. intros zenon_H290 zenon_H1d4 zenon_H28d zenon_H28 zenon_H27 zenon_Hb4 zenon_H5a zenon_H53 zenon_H4c zenon_H5c zenon_H9e zenon_H120 zenon_H7b zenon_H75 zenon_H68 zenon_H80 zenon_H86 zenon_H87 zenon_H95 zenon_H94 zenon_H8f zenon_H8b zenon_H6f zenon_Hc0 zenon_H62 zenon_Ha6 zenon_H4d zenon_Hc8 zenon_H24c zenon_H249 zenon_H22e zenon_H1be zenon_H200 zenon_H231 zenon_H1cf zenon_H1f5 zenon_H1d3 zenon_H19b zenon_H19f zenon_H245 zenon_H214 zenon_H1b3 zenon_H25c zenon_H209 zenon_H242 zenon_H23f zenon_H12c zenon_Hbc zenon_Hfe zenon_H12f zenon_Hc9 zenon_Hf3 zenon_Hce zenon_H9a zenon_H9d zenon_H23b zenon_H112 zenon_Hb1 zenon_H264 zenon_H107 zenon_H26c zenon_H26d zenon_H26a zenon_H3b zenon_H27b zenon_H281 zenon_H284 zenon_H288 zenon_H287 zenon_Hd1 zenon_Hb8 zenon_Hcf zenon_Hdb zenon_He7 zenon_Heb zenon_H10f zenon_H11a zenon_Hf9 zenon_H11d zenon_H101 zenon_H121 zenon_H132 zenon_H135 zenon_H13 zenon_H222 zenon_H194 zenon_H189 zenon_H188 zenon_H182 zenon_H193 zenon_H16a zenon_H177 zenon_H17d zenon_H191 zenon_H14 zenon_H18d zenon_H171 zenon_H1c2 zenon_H164 zenon_H1a8 zenon_H14e zenon_H1ca zenon_H19e zenon_H1a0 zenon_H15e zenon_H14d zenon_H15d zenon_H154 zenon_H15b zenon_H1b6. % 23.54/23.75 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H28f ]. % 23.54/23.75 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H1a | zenon_intro zenon_H1b7 ]. % 23.54/23.75 apply (zenon_L214_); trivial. % 23.54/23.75 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H19a | zenon_intro zenon_H1b8 ]. % 23.54/23.75 exact (zenon_H193 zenon_H19a). % 23.54/23.75 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H16f | zenon_intro zenon_H1a2 ]. % 23.54/23.75 apply (zenon_L114_); trivial. % 23.54/23.75 apply (zenon_L118_); trivial. % 23.54/23.75 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H1a | zenon_intro zenon_H1b7 ]. % 23.54/23.75 apply (zenon_L216_); trivial. % 23.54/23.75 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H19a | zenon_intro zenon_H1b8 ]. % 23.54/23.75 exact (zenon_H193 zenon_H19a). % 23.54/23.75 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H16f | zenon_intro zenon_H1a2 ]. % 23.54/23.75 apply (zenon_L114_); trivial. % 23.54/23.75 apply (zenon_L118_); trivial. % 23.54/23.75 (* end of lemma zenon_L217_ *) % 23.54/23.75 assert (zenon_L218_ : ((~((op2 (e22) (e22)) = (e21)))\/(~((op2 (e22) (e21)) = (e22)))) -> ((~((op2 (e22) (e22)) = (e21)))\/((op2 (e22) (e21)) = (e22))) -> ((~((op2 (e23) (e23)) = (e22)))\/((op2 (e23) (e22)) = (e23))) -> ((e10) = (op1 (e13) (e13))) -> ((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> ((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> ((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10))) -> ((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((e11) = (e12))) -> (~((e10) = (e11))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((e11) = (op1 (op1 (op1 (e13) (e13)) (e13)) (e13))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (e13)) (e13))) -> ((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((~((op2 (e22) (e22)) = (e20)))\/((op2 (e22) (e20)) = (e22))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((~((op2 (e21) (e21)) = (e20)))\/((op2 (e21) (e20)) = (e21))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((h4 (op1 (e10) (e12))) = (op2 (h4 (e10)) (h4 (e12))))) -> ((h4 (e13)) = (e23)) -> ((h4 (e12)) = (op2 (op2 (e23) (e23)) (e23))) -> ((h4 (e10)) = (op2 (e23) (e23))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> ((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))) -> ((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12))) -> ((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> ((((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e11) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e11) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e11) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e12) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e12) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e12) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e13) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e13) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e13) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))\/(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))))))))))))))))) -> ((~((op2 (e23) (e23)) = (e20)))\/((op2 (e23) (e20)) = (e23))) -> ((~((op2 (e22) (e22)) = (e22)))\/((op2 (e22) (e22)) = (e22))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> ((e21) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((e20) = (e21))) -> (~((op2 (e21) (e21)) = (e21))) -> (~((e21) = (e22))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> ((e20) = (op2 (e23) (e23))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((e22) = (op2 (op2 (e23) (e23)) (e23))) -> ((~((op2 (e22) (e22)) = (e23)))\/((op2 (e22) (e23)) = (e22))) -> ((~((op2 (e21) (e21)) = (e22)))\/((op2 (e21) (e22)) = (e21))) -> ((~((op2 (e20) (e20)) = (e20)))\/((op2 (e20) (e20)) = (e20))) -> ((~((op2 (e20) (e20)) = (e23)))\/((op2 (e20) (e23)) = (e20))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e20)) = (e22))\/((op2 (e20) (e20)) = (e23))))) -> (~((op2 (e20) (e21)) = (e20))) -> ((~((op2 (e20) (e20)) = (e21)))\/((op2 (e20) (e21)) = (e20))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> False). % 23.54/23.75 do 0 intro. intros zenon_H290 zenon_H1d4 zenon_H28d zenon_H28 zenon_H27 zenon_Hb4 zenon_H5a zenon_H53 zenon_H4c zenon_H5c zenon_H9e zenon_H120 zenon_H7b zenon_H75 zenon_H68 zenon_H80 zenon_H86 zenon_H87 zenon_H95 zenon_H94 zenon_H8f zenon_H8b zenon_H6f zenon_Hc0 zenon_H62 zenon_Ha6 zenon_H4d zenon_Hc8 zenon_H24c zenon_H249 zenon_H22e zenon_H1be zenon_H200 zenon_H231 zenon_H1cf zenon_H1f5 zenon_H1d3 zenon_H19b zenon_H19f zenon_H245 zenon_H214 zenon_H1b3 zenon_H25c zenon_H209 zenon_H242 zenon_H23f zenon_H12c zenon_Hbc zenon_Hfe zenon_H12f zenon_Hc9 zenon_Hf3 zenon_Hce zenon_H9a zenon_H9d zenon_H23b zenon_H112 zenon_Hb1 zenon_H264 zenon_H107 zenon_H26c zenon_H26d zenon_H26a zenon_H3b zenon_H27b zenon_H281 zenon_H284 zenon_H288 zenon_H287 zenon_Hd1 zenon_Hb8 zenon_Hcf zenon_Hdb zenon_He7 zenon_Heb zenon_H10f zenon_H11a zenon_Hf9 zenon_H11d zenon_H101 zenon_H121 zenon_H132 zenon_H135 zenon_H13 zenon_H222 zenon_H194 zenon_H189 zenon_H188 zenon_H182 zenon_H193 zenon_H16a zenon_H177 zenon_H17d zenon_H191 zenon_H14 zenon_H18d zenon_H171 zenon_H1c2 zenon_H164 zenon_H1a8 zenon_H14e zenon_H1ca zenon_H19e zenon_H1a0 zenon_H15b zenon_H154 zenon_H14d zenon_H15e zenon_H1b9 zenon_H1ba zenon_H1b6. % 23.54/23.75 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H28f ]. % 23.54/23.75 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H1a | zenon_intro zenon_H1b7 ]. % 23.54/23.75 apply (zenon_L214_); trivial. % 23.54/23.75 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H19a | zenon_intro zenon_H1b8 ]. % 23.54/23.75 exact (zenon_H193 zenon_H19a). % 23.54/23.75 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H16f | zenon_intro zenon_H1a2 ]. % 23.54/23.75 apply (zenon_L120_); trivial. % 23.54/23.75 apply (zenon_L118_); trivial. % 23.54/23.75 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H1a | zenon_intro zenon_H1b7 ]. % 23.54/23.75 apply (zenon_L216_); trivial. % 23.54/23.75 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H19a | zenon_intro zenon_H1b8 ]. % 23.54/23.75 exact (zenon_H193 zenon_H19a). % 23.54/23.75 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H16f | zenon_intro zenon_H1a2 ]. % 23.54/23.75 apply (zenon_L120_); trivial. % 23.54/23.75 apply (zenon_L118_); trivial. % 23.54/23.75 (* end of lemma zenon_L218_ *) % 23.54/23.75 assert (zenon_L219_ : ((~((op2 (e20) (e20)) = (e21)))\/(~((op2 (e20) (e21)) = (e20)))) -> ((~((op2 (e20) (e20)) = (e21)))\/((op2 (e20) (e21)) = (e20))) -> ((~((op2 (e22) (e22)) = (e21)))\/(~((op2 (e22) (e21)) = (e22)))) -> ((~((op2 (e22) (e22)) = (e21)))\/((op2 (e22) (e21)) = (e22))) -> ((~((op2 (e23) (e23)) = (e22)))\/((op2 (e23) (e22)) = (e23))) -> ((e10) = (op1 (e13) (e13))) -> ((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> ((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> ((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10))) -> ((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((e11) = (e12))) -> (~((e10) = (e11))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((e11) = (op1 (op1 (op1 (e13) (e13)) (e13)) (e13))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (e13)) (e13))) -> ((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((~((op2 (e22) (e22)) = (e20)))\/((op2 (e22) (e20)) = (e22))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((~((op2 (e21) (e21)) = (e20)))\/((op2 (e21) (e20)) = (e21))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e21) (e22)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((h4 (op1 (e10) (e12))) = (op2 (h4 (e10)) (h4 (e12))))) -> ((h4 (e13)) = (e23)) -> ((h4 (e12)) = (op2 (op2 (e23) (e23)) (e23))) -> ((h4 (e10)) = (op2 (e23) (e23))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e10) (e12)) = (e11))\/(((op1 (e10) (e12)) = (e12))\/((op1 (e10) (e12)) = (e13))))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (((op2 (e20) (e22)) = (e20))\/(((op2 (e20) (e22)) = (e21))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e22)) = (e23))))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> ((~((op1 (e13) (e13)) = (e12)))\/((op1 (e13) (e12)) = (e13))) -> ((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12))) -> ((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> ((((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e11) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e11) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e11) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e12) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e12) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e12) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e13) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e13) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e13) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))\/(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))))))))))))))))) -> ((~((op2 (e23) (e23)) = (e20)))\/((op2 (e23) (e20)) = (e23))) -> ((~((op2 (e22) (e22)) = (e22)))\/((op2 (e22) (e22)) = (e22))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> ((e21) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((e20) = (e21))) -> (~((e21) = (e22))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> ((e20) = (op2 (e23) (e23))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((e22) = (op2 (op2 (e23) (e23)) (e23))) -> ((~((op2 (e22) (e22)) = (e23)))\/((op2 (e22) (e23)) = (e22))) -> ((~((op2 (e21) (e21)) = (e22)))\/((op2 (e21) (e22)) = (e21))) -> ((~((op2 (e20) (e20)) = (e20)))\/((op2 (e20) (e20)) = (e20))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e20)) = (e22))\/((op2 (e20) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((~((op2 (e20) (e20)) = (e23)))\/((op2 (e20) (e23)) = (e20))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> ((~((op2 (e21) (e21)) = (e21)))\/(~((op2 (e21) (e21)) = (e21)))) -> False). % 23.54/23.75 do 0 intro. intros zenon_H1bc zenon_H1ba zenon_H290 zenon_H1d4 zenon_H28d zenon_H28 zenon_H27 zenon_Hb4 zenon_H5a zenon_H53 zenon_H4c zenon_H5c zenon_H9e zenon_H120 zenon_H7b zenon_H75 zenon_H68 zenon_H80 zenon_H86 zenon_H87 zenon_H95 zenon_H94 zenon_H8f zenon_H8b zenon_H6f zenon_Hc0 zenon_H62 zenon_Ha6 zenon_H4d zenon_Hc8 zenon_H24c zenon_H249 zenon_H22e zenon_H1be zenon_H200 zenon_H231 zenon_H1cf zenon_H1f5 zenon_H1d3 zenon_H19b zenon_H19f zenon_H245 zenon_H214 zenon_H1b3 zenon_H25c zenon_H209 zenon_H242 zenon_H23f zenon_H12c zenon_Hbc zenon_Hfe zenon_H12f zenon_Hc9 zenon_Hf3 zenon_Hce zenon_H9a zenon_H9d zenon_H23b zenon_H112 zenon_Hb1 zenon_H264 zenon_H107 zenon_H26c zenon_H26d zenon_H26a zenon_H3b zenon_H27b zenon_H281 zenon_H284 zenon_H288 zenon_H287 zenon_Hd1 zenon_Hb8 zenon_Hcf zenon_Hdb zenon_He7 zenon_Heb zenon_H10f zenon_H11a zenon_Hf9 zenon_H11d zenon_H101 zenon_H121 zenon_H132 zenon_H135 zenon_H13 zenon_H222 zenon_H194 zenon_H189 zenon_H188 zenon_H182 zenon_H16a zenon_H177 zenon_H17d zenon_H191 zenon_H14 zenon_H18d zenon_H171 zenon_H1c2 zenon_H164 zenon_H1a8 zenon_H14e zenon_H1ca zenon_H19e zenon_H1a0 zenon_H15e zenon_H14d zenon_H154 zenon_H15b zenon_H1b6 zenon_H1bd. % 23.54/23.75 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H15d | zenon_intro zenon_H1b9 ]. % 23.54/23.75 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H193 | zenon_intro zenon_H193 ]. % 23.54/23.75 apply (zenon_L217_); trivial. % 23.54/23.75 apply (zenon_L217_); trivial. % 23.54/23.75 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H193 | zenon_intro zenon_H193 ]. % 23.54/23.75 apply (zenon_L218_); trivial. % 23.54/23.75 apply (zenon_L218_); trivial. % 23.54/23.75 (* end of lemma zenon_L219_ *) % 23.54/23.75 assert (zenon_L220_ : (~((h4 (op1 (e10) (e13))) = (op2 (h4 (e10)) (h4 (e13))))) -> ((h4 (e12)) = (op2 (op2 (e23) (e23)) (e23))) -> ((op1 (e10) (e13)) = (e12)) -> ((h4 (e13)) = (e23)) -> ((h4 (e10)) = (op2 (e23) (e23))) -> False). % 23.54/23.75 do 0 intro. intros zenon_H291 zenon_H26a zenon_H9f zenon_H26d zenon_H3b. % 23.54/23.75 cut (((h4 (e12)) = (op2 (op2 (e23) (e23)) (e23))) = ((h4 (op1 (e10) (e13))) = (op2 (h4 (e10)) (h4 (e13))))). % 23.54/23.75 intro zenon_D_pnotp. % 23.54/23.75 apply zenon_H291. % 23.54/23.75 rewrite <- zenon_D_pnotp. % 23.54/23.75 exact zenon_H26a. % 23.54/23.75 cut (((op2 (op2 (e23) (e23)) (e23)) = (op2 (h4 (e10)) (h4 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H292]. % 23.54/23.75 cut (((h4 (e12)) = (h4 (op1 (e10) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H293]. % 23.54/23.75 congruence. % 23.54/23.75 elim (classic ((h4 (op1 (e10) (e13))) = (h4 (op1 (e10) (e13))))); [ zenon_intro zenon_H294 | zenon_intro zenon_H295 ]. % 23.54/23.75 cut (((h4 (op1 (e10) (e13))) = (h4 (op1 (e10) (e13)))) = ((h4 (e12)) = (h4 (op1 (e10) (e13))))). % 23.54/23.75 intro zenon_D_pnotp. % 23.54/23.75 apply zenon_H293. % 23.54/23.75 rewrite <- zenon_D_pnotp. % 23.54/23.75 exact zenon_H294. % 23.54/23.75 cut (((h4 (op1 (e10) (e13))) = (h4 (op1 (e10) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H295]. % 23.54/23.75 cut (((h4 (op1 (e10) (e13))) = (h4 (e12)))); [idtac | apply NNPP; zenon_intro zenon_H296]. % 23.54/23.75 congruence. % 23.54/23.75 cut (((op1 (e10) (e13)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Ha3]. % 23.54/23.75 congruence. % 23.54/23.75 exact (zenon_Ha3 zenon_H9f). % 23.54/23.75 apply zenon_H295. apply refl_equal. % 23.54/23.75 apply zenon_H295. apply refl_equal. % 23.54/23.75 cut (((e23) = (h4 (e13)))); [idtac | apply NNPP; zenon_intro zenon_H297]. % 23.54/23.75 cut (((op2 (e23) (e23)) = (h4 (e10)))); [idtac | apply NNPP; zenon_intro zenon_H298]. % 23.54/23.75 congruence. % 23.54/23.75 apply zenon_H298. apply sym_equal. exact zenon_H3b. % 23.54/23.75 apply zenon_H297. apply sym_equal. exact zenon_H26d. % 23.54/23.75 (* end of lemma zenon_L220_ *) % 23.54/23.75 assert (zenon_L221_ : (~((h4 (op1 (e11) (e10))) = (op2 (h4 (e11)) (h4 (e10))))) -> ((op1 (e11) (e10)) = (e11)) -> ((op2 (e21) (e20)) = (e21)) -> ((h4 (e11)) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> ((e21) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> ((h4 (e10)) = (op2 (e23) (e23))) -> ((e20) = (op2 (e23) (e23))) -> False). % 23.54/23.75 do 0 intro. intros zenon_H299 zenon_H66 zenon_H168 zenon_H238 zenon_H189 zenon_H3b zenon_H14. % 23.54/23.75 cut (((h4 (e11)) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) = ((h4 (op1 (e11) (e10))) = (op2 (h4 (e11)) (h4 (e10))))). % 23.54/23.75 intro zenon_D_pnotp. % 23.54/23.75 apply zenon_H299. % 23.54/23.75 rewrite <- zenon_D_pnotp. % 23.54/23.75 exact zenon_H238. % 23.54/23.75 cut (((op2 (op2 (op2 (e23) (e23)) (e23)) (e23)) = (op2 (h4 (e11)) (h4 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H29a]. % 23.54/23.75 cut (((h4 (e11)) = (h4 (op1 (e11) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H29b]. % 23.54/23.75 congruence. % 23.54/23.75 elim (classic ((h4 (op1 (e11) (e10))) = (h4 (op1 (e11) (e10))))); [ zenon_intro zenon_H29c | zenon_intro zenon_H29d ]. % 23.54/23.75 cut (((h4 (op1 (e11) (e10))) = (h4 (op1 (e11) (e10)))) = ((h4 (e11)) = (h4 (op1 (e11) (e10))))). % 23.54/23.75 intro zenon_D_pnotp. % 23.54/23.75 apply zenon_H29b. % 23.54/23.75 rewrite <- zenon_D_pnotp. % 23.54/23.75 exact zenon_H29c. % 23.54/23.75 cut (((h4 (op1 (e11) (e10))) = (h4 (op1 (e11) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H29d]. % 23.54/23.75 cut (((h4 (op1 (e11) (e10))) = (h4 (e11)))); [idtac | apply NNPP; zenon_intro zenon_H29e]. % 23.54/23.75 congruence. % 23.54/23.75 cut (((op1 (e11) (e10)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H29f]. % 23.54/23.75 congruence. % 23.54/23.75 exact (zenon_H29f zenon_H66). % 23.54/23.75 apply zenon_H29d. apply refl_equal. % 23.54/23.75 apply zenon_H29d. apply refl_equal. % 23.54/23.75 elim (classic ((op2 (h4 (e11)) (h4 (e10))) = (op2 (h4 (e11)) (h4 (e10))))); [ zenon_intro zenon_H2a0 | zenon_intro zenon_H2a1 ]. % 23.54/23.75 cut (((op2 (h4 (e11)) (h4 (e10))) = (op2 (h4 (e11)) (h4 (e10)))) = ((op2 (op2 (op2 (e23) (e23)) (e23)) (e23)) = (op2 (h4 (e11)) (h4 (e10))))). % 23.54/23.75 intro zenon_D_pnotp. % 23.54/23.75 apply zenon_H29a. % 23.54/23.75 rewrite <- zenon_D_pnotp. % 23.54/23.75 exact zenon_H2a0. % 23.54/23.75 cut (((op2 (h4 (e11)) (h4 (e10))) = (op2 (h4 (e11)) (h4 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H2a1]. % 23.54/23.75 cut (((op2 (h4 (e11)) (h4 (e10))) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H2a2]. % 23.54/23.75 congruence. % 23.54/23.75 cut (((op2 (e21) (e20)) = (e21)) = ((op2 (h4 (e11)) (h4 (e10))) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23)))). % 23.54/23.75 intro zenon_D_pnotp. % 23.54/23.75 apply zenon_H2a2. % 23.54/23.75 rewrite <- zenon_D_pnotp. % 23.54/23.75 exact zenon_H168. % 23.54/23.75 cut (((e21) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H259]. % 23.54/23.75 cut (((op2 (e21) (e20)) = (op2 (h4 (e11)) (h4 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H2a3]. % 23.54/23.75 congruence. % 23.54/23.75 elim (classic ((op2 (h4 (e11)) (h4 (e10))) = (op2 (h4 (e11)) (h4 (e10))))); [ zenon_intro zenon_H2a0 | zenon_intro zenon_H2a1 ]. % 23.54/23.75 cut (((op2 (h4 (e11)) (h4 (e10))) = (op2 (h4 (e11)) (h4 (e10)))) = ((op2 (e21) (e20)) = (op2 (h4 (e11)) (h4 (e10))))). % 23.54/23.75 intro zenon_D_pnotp. % 23.54/23.75 apply zenon_H2a3. % 23.54/23.75 rewrite <- zenon_D_pnotp. % 23.54/23.75 exact zenon_H2a0. % 23.54/23.75 cut (((op2 (h4 (e11)) (h4 (e10))) = (op2 (h4 (e11)) (h4 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H2a1]. % 23.54/23.75 cut (((op2 (h4 (e11)) (h4 (e10))) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H2a4]. % 23.54/23.75 congruence. % 23.54/23.75 cut (((h4 (e10)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H3a]. % 23.54/23.75 cut (((h4 (e11)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H237]. % 23.54/23.75 congruence. % 23.54/23.75 apply (zenon_L175_); trivial. % 23.54/23.75 apply (zenon_L11_); trivial. % 23.54/23.75 apply zenon_H2a1. apply refl_equal. % 23.54/23.75 apply zenon_H2a1. apply refl_equal. % 23.54/23.75 exact (zenon_H259 zenon_H189). % 23.54/23.75 apply zenon_H2a1. apply refl_equal. % 23.54/23.75 apply zenon_H2a1. apply refl_equal. % 23.54/23.75 (* end of lemma zenon_L221_ *) % 23.54/23.75 assert (zenon_L222_ : ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> ((op2 (e21) (e20)) = (e21)) -> ((h4 (e11)) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> ((e21) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> ((h4 (e10)) = (op2 (e23) (e23))) -> ((e20) = (op2 (e23) (e23))) -> (~((h4 (op1 (e11) (e10))) = (op2 (h4 (e11)) (h4 (e10))))) -> ((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12))) -> ((e12) = (op1 (op1 (e13) (e13)) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((op1 (e10) (e10)) = (e10)) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (e11))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((e10) = (op1 (e13) (e13))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((e11) = (op1 (op1 (op1 (e13) (e13)) (e13)) (e13))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((e10) = (e11))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> ((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12))) -> False). % 23.54/23.75 do 0 intro. intros zenon_H9d zenon_H168 zenon_H238 zenon_H189 zenon_H3b zenon_H14 zenon_H299 zenon_Hc8 zenon_H4d zenon_Ha6 zenon_H62 zenon_H2e zenon_Hc0 zenon_Hbf zenon_H6f zenon_H8b zenon_H28 zenon_H8f zenon_H94 zenon_H95 zenon_H87 zenon_H86 zenon_H80 zenon_H96 zenon_H68 zenon_H75 zenon_H7b zenon_H120. % 23.54/23.75 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H90 | zenon_intro zenon_H66 ]. % 23.54/23.75 apply (zenon_L195_); trivial. % 23.54/23.75 apply (zenon_L221_); trivial. % 23.54/23.75 (* end of lemma zenon_L222_ *) % 23.54/23.75 assert (zenon_L223_ : ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> ((op2 (e21) (e20)) = (e21)) -> ((h4 (e11)) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> ((e21) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> ((h4 (e10)) = (op2 (e23) (e23))) -> ((e20) = (op2 (e23) (e23))) -> (~((h4 (op1 (e11) (e10))) = (op2 (h4 (e11)) (h4 (e10))))) -> ((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((e10) = (e11))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((e11) = (op1 (op1 (op1 (e13) (e13)) (e13)) (e13))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> ((e10) = (op1 (e13) (e13))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (e13)) (e13))) -> ((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12))) -> (~((op1 (e12) (e11)) = (e12))) -> ((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12))) -> False). % 23.54/23.75 do 0 intro. intros zenon_H9d zenon_H168 zenon_H238 zenon_H189 zenon_H3b zenon_H14 zenon_H299 zenon_H120 zenon_H7b zenon_H75 zenon_H68 zenon_H96 zenon_H80 zenon_H86 zenon_H87 zenon_H95 zenon_H94 zenon_H8f zenon_H28 zenon_H8b zenon_H6f zenon_Hc0 zenon_H2e zenon_H62 zenon_Ha6 zenon_H4d zenon_Hc8 zenon_H28b zenon_Hd1. % 23.54/23.75 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H90 | zenon_intro zenon_H66 ]. % 23.54/23.75 apply (zenon_L208_); trivial. % 23.54/23.75 apply (zenon_L221_); trivial. % 23.54/23.75 (* end of lemma zenon_L223_ *) % 23.54/23.75 assert (zenon_L224_ : ((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12)))) -> ((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12))) -> ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> ((op2 (e21) (e20)) = (e21)) -> ((h4 (e11)) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> ((e21) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> ((h4 (e10)) = (op2 (e23) (e23))) -> ((e20) = (op2 (e23) (e23))) -> (~((h4 (op1 (e11) (e10))) = (op2 (h4 (e11)) (h4 (e10))))) -> ((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12))) -> ((e12) = (op1 (op1 (e13) (e13)) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((e10) = (op1 (e13) (e13))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((e11) = (op1 (op1 (op1 (e13) (e13)) (e13)) (e13))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((e10) = (e11))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> ((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12))) -> ((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (e11))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> False). % 23.54/23.75 do 0 intro. intros zenon_H28c zenon_Hd1 zenon_H9d zenon_H168 zenon_H238 zenon_H189 zenon_H3b zenon_H14 zenon_H299 zenon_Hc8 zenon_H4d zenon_Ha6 zenon_H62 zenon_Hc0 zenon_H6f zenon_H8b zenon_H28 zenon_H8f zenon_H94 zenon_H95 zenon_H87 zenon_H86 zenon_H80 zenon_H96 zenon_H68 zenon_H75 zenon_H7b zenon_H120 zenon_H9e zenon_H9a zenon_H5c zenon_H4c zenon_H5b zenon_H53 zenon_H5a zenon_Hb1 zenon_Hb4. % 23.54/23.75 apply (zenon_or_s _ _ zenon_H28c); [ zenon_intro zenon_Hbf | zenon_intro zenon_H28b ]. % 23.54/23.75 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H2e | zenon_intro zenon_Hb5 ]. % 23.54/23.75 apply (zenon_L222_); trivial. % 23.54/23.75 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_H99 | zenon_intro zenon_Hb6 ]. % 23.54/23.75 exact (zenon_H96 zenon_H99). % 23.54/23.75 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_H6d | zenon_intro zenon_Ha0 ]. % 23.54/23.75 apply (zenon_L33_); trivial. % 23.54/23.75 apply (zenon_L37_); trivial. % 23.54/23.75 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H2e | zenon_intro zenon_Hb5 ]. % 23.54/23.75 apply (zenon_L223_); trivial. % 23.54/23.75 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_H99 | zenon_intro zenon_Hb6 ]. % 23.54/23.75 exact (zenon_H96 zenon_H99). % 23.54/23.75 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_H6d | zenon_intro zenon_Ha0 ]. % 23.54/23.75 apply (zenon_L33_); trivial. % 23.54/23.75 apply (zenon_L37_); trivial. % 23.54/23.75 (* end of lemma zenon_L224_ *) % 23.54/23.75 assert (zenon_L225_ : ((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12)))) -> ((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12))) -> ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> ((op2 (e21) (e20)) = (e21)) -> ((h4 (e11)) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> ((e21) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> ((h4 (e10)) = (op2 (e23) (e23))) -> ((e20) = (op2 (e23) (e23))) -> (~((h4 (op1 (e11) (e10))) = (op2 (h4 (e11)) (h4 (e10))))) -> ((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12))) -> ((e12) = (op1 (op1 (e13) (e13)) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((e10) = (op1 (e13) (e13))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((e11) = (op1 (op1 (op1 (e13) (e13)) (e13)) (e13))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((e10) = (e11))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> ((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12))) -> ((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e10) (e11)) = (e10))) -> ((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> False). % 23.54/23.75 do 0 intro. intros zenon_H28c zenon_Hd1 zenon_H9d zenon_H168 zenon_H238 zenon_H189 zenon_H3b zenon_H14 zenon_H299 zenon_Hc8 zenon_H4d zenon_Ha6 zenon_H62 zenon_Hc0 zenon_H6f zenon_H8b zenon_H28 zenon_H8f zenon_H94 zenon_H95 zenon_H87 zenon_H86 zenon_H80 zenon_H96 zenon_H68 zenon_H75 zenon_H7b zenon_H120 zenon_H9e zenon_H9a zenon_H5a zenon_H53 zenon_H4c zenon_H5c zenon_Hb7 zenon_Hb8 zenon_Hb1 zenon_Hb4. % 23.54/23.75 apply (zenon_or_s _ _ zenon_H28c); [ zenon_intro zenon_Hbf | zenon_intro zenon_H28b ]. % 23.54/23.75 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H2e | zenon_intro zenon_Hb5 ]. % 23.54/23.75 apply (zenon_L222_); trivial. % 23.54/23.75 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_H99 | zenon_intro zenon_Hb6 ]. % 23.54/23.75 exact (zenon_H96 zenon_H99). % 23.54/23.75 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_H6d | zenon_intro zenon_Ha0 ]. % 23.54/23.75 apply (zenon_L39_); trivial. % 23.54/23.75 apply (zenon_L37_); trivial. % 23.54/23.75 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H2e | zenon_intro zenon_Hb5 ]. % 23.54/23.75 apply (zenon_L223_); trivial. % 23.54/23.75 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_H99 | zenon_intro zenon_Hb6 ]. % 23.54/23.75 exact (zenon_H96 zenon_H99). % 23.54/23.75 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_H6d | zenon_intro zenon_Ha0 ]. % 23.54/23.75 apply (zenon_L39_); trivial. % 23.54/23.75 apply (zenon_L37_); trivial. % 23.54/23.75 (* end of lemma zenon_L225_ *) % 23.54/23.75 assert (zenon_L226_ : ((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10)))) -> ((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10))) -> ((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12)))) -> ((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12))) -> ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> ((op2 (e21) (e20)) = (e21)) -> ((h4 (e11)) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> ((e21) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> ((h4 (e10)) = (op2 (e23) (e23))) -> ((e20) = (op2 (e23) (e23))) -> (~((h4 (op1 (e11) (e10))) = (op2 (h4 (e11)) (h4 (e10))))) -> ((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12))) -> ((e12) = (op1 (op1 (e13) (e13)) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((e10) = (op1 (e13) (e13))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((e11) = (op1 (op1 (op1 (e13) (e13)) (e13)) (e13))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((e10) = (e11))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> ((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12))) -> ((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11)))) -> False). % 23.54/23.75 do 0 intro. intros zenon_Hba zenon_Hb8 zenon_H28c zenon_Hd1 zenon_H9d zenon_H168 zenon_H238 zenon_H189 zenon_H3b zenon_H14 zenon_H299 zenon_Hc8 zenon_H4d zenon_Ha6 zenon_H62 zenon_Hc0 zenon_H6f zenon_H8b zenon_H28 zenon_H8f zenon_H94 zenon_H95 zenon_H87 zenon_H86 zenon_H80 zenon_H68 zenon_H75 zenon_H7b zenon_H120 zenon_H9e zenon_H9a zenon_H5c zenon_H4c zenon_H53 zenon_H5a zenon_Hb1 zenon_Hb4 zenon_Hbb. % 23.54/23.75 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H5b | zenon_intro zenon_Hb7 ]. % 23.54/23.75 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H96 | zenon_intro zenon_H96 ]. % 23.54/23.75 apply (zenon_L224_); trivial. % 23.54/23.75 apply (zenon_L224_); trivial. % 23.54/23.75 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H96 | zenon_intro zenon_H96 ]. % 23.54/23.75 apply (zenon_L225_); trivial. % 23.54/23.75 apply (zenon_L225_); trivial. % 23.54/23.75 (* end of lemma zenon_L226_ *) % 23.54/23.75 assert (zenon_L227_ : ((((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e11) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e11) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e11) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e12) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e12) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e12) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e13) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e13) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e13) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))\/(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))))))))))))))))) -> ((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> ((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((h4 (op1 (e11) (e10))) = (op2 (h4 (e11)) (h4 (e10))))) -> ((e20) = (op2 (e23) (e23))) -> ((h4 (e10)) = (op2 (e23) (e23))) -> ((e21) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> ((h4 (e11)) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> ((op2 (e21) (e20)) = (e21)) -> ((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((e11) = (e12))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((e10) = (op1 (e13) (e13))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((e12) = (op1 (op1 (e13) (e13)) (e13))) -> ((e11) = (op1 (op1 (op1 (e13) (e13)) (e13)) (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((e10) = (e11))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> ((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12))) -> False). % 23.54/23.75 do 0 intro. intros zenon_H135 zenon_H27 zenon_Hb1 zenon_H5a zenon_H53 zenon_H4c zenon_H5c zenon_H9e zenon_H7b zenon_H95 zenon_H6f zenon_H299 zenon_H14 zenon_H3b zenon_H189 zenon_H238 zenon_H168 zenon_Hd1 zenon_Hdb zenon_H86 zenon_H75 zenon_He7 zenon_Heb zenon_Hb8 zenon_Hcf zenon_H10f zenon_H112 zenon_H11a zenon_H68 zenon_Hf9 zenon_H11d zenon_Ha6 zenon_H107 zenon_H101 zenon_H121 zenon_H9d zenon_H9a zenon_Hce zenon_Hf3 zenon_H28 zenon_Hc9 zenon_H12f zenon_Hfe zenon_Hc0 zenon_H4d zenon_H87 zenon_Hbc zenon_H12c zenon_H120 zenon_H8f zenon_H8b zenon_H80 zenon_H62 zenon_H94 zenon_H132 zenon_Hb4 zenon_Hc8. % 23.54/23.75 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H2c | zenon_intro zenon_H136 ]. % 23.54/23.75 apply (zenon_L7_); trivial. % 23.54/23.75 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H34 | zenon_intro zenon_H137 ]. % 23.54/23.75 apply (zenon_L8_); trivial. % 23.54/23.75 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H36 | zenon_intro zenon_H138 ]. % 23.54/23.75 apply (zenon_L9_); trivial. % 23.54/23.75 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H38 | zenon_intro zenon_H139 ]. % 23.54/23.75 apply (zenon_L10_); trivial. % 23.54/23.75 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H13b | zenon_intro zenon_H13a ]. % 23.54/23.75 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_H63. zenon_intro zenon_H13c. % 23.54/23.75 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_Hba. zenon_intro zenon_H13d. % 23.54/23.75 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_Hbb. zenon_intro zenon_H13e. % 23.54/23.75 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_H28c. zenon_intro zenon_H28e. % 23.54/23.75 apply (zenon_L226_); trivial. % 23.54/23.75 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H140 | zenon_intro zenon_H13f ]. % 23.54/23.75 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H99. zenon_intro zenon_H13c. % 23.54/23.75 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_Hba. zenon_intro zenon_H13d. % 23.54/23.75 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_Hbb. zenon_intro zenon_H13e. % 23.54/23.75 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_H28c. zenon_intro zenon_H28e. % 23.54/23.75 apply (zenon_L226_); trivial. % 23.54/23.75 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H142 | zenon_intro zenon_H141 ]. % 23.54/23.75 apply (zenon_and_s _ _ zenon_H142). zenon_intro zenon_H6e. zenon_intro zenon_H13c. % 23.54/23.75 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_Hba. zenon_intro zenon_H13d. % 23.54/23.76 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_Hbb. zenon_intro zenon_H13e. % 23.54/23.76 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_H28c. zenon_intro zenon_H28e. % 23.54/23.76 apply (zenon_L226_); trivial. % 23.54/23.76 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H144 | zenon_intro zenon_H143 ]. % 23.54/23.76 apply (zenon_and_s _ _ zenon_H144). zenon_intro zenon_He4. zenon_intro zenon_H13c. % 23.54/23.76 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_Hba. zenon_intro zenon_H13d. % 23.54/23.76 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_Hbb. zenon_intro zenon_H13e. % 23.54/23.76 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_H28c. zenon_intro zenon_H28e. % 23.54/23.76 apply (zenon_L226_); trivial. % 23.54/23.76 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H145 ]. % 23.54/23.76 apply (zenon_L47_); trivial. % 23.54/23.76 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_He1 | zenon_intro zenon_H146 ]. % 23.54/23.76 apply (zenon_L49_); trivial. % 23.54/23.76 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_He2 | zenon_intro zenon_H147 ]. % 23.54/23.76 apply (zenon_L50_); trivial. % 23.54/23.76 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_Hea | zenon_intro zenon_H148 ]. % 23.54/23.76 apply (zenon_L53_); trivial. % 23.54/23.76 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H149 ]. % 23.54/23.76 apply (zenon_L55_); trivial. % 23.54/23.76 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H124 | zenon_intro zenon_H14a ]. % 23.54/23.76 apply (zenon_L78_); trivial. % 23.54/23.76 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_H133 | zenon_intro zenon_H134 ]. % 23.54/23.76 apply (zenon_L91_); trivial. % 23.54/23.76 apply (zenon_L92_); trivial. % 23.54/23.76 (* end of lemma zenon_L227_ *) % 23.54/23.76 assert (zenon_L228_ : ((~((op2 (e21) (e21)) = (e20)))\/((op2 (e21) (e20)) = (e21))) -> ((e10) = (op1 (e13) (e13))) -> ((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10))) -> ((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((e11) = (e12))) -> (~((e10) = (e11))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((e11) = (op1 (op1 (op1 (e13) (e13)) (e13)) (e13))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (e13)) (e13))) -> ((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12))) -> (~((h4 (op1 (e11) (e10))) = (op2 (h4 (e11)) (h4 (e10))))) -> ((h4 (e10)) = (op2 (e23) (e23))) -> ((h4 (e11)) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> ((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12))) -> ((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10))) -> ((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> ((((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e11) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e11) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e11) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e12) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e12) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e12) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e13) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e13) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e13) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))\/(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))))))))))))))))) -> ((~((op2 (e22) (e22)) = (e22)))\/((op2 (e22) (e22)) = (e22))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> ((e21) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((e20) = (e21))) -> (~((op2 (e21) (e21)) = (e21))) -> (~((e21) = (e22))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> ((e20) = (op2 (e23) (e23))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (e21))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> ((op2 (e20) (e20)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((e22) = (op2 (op2 (e23) (e23)) (e23))) -> ((~((op2 (e22) (e22)) = (e23)))\/((op2 (e22) (e23)) = (e22))) -> ((~((op2 (e21) (e21)) = (e22)))\/((op2 (e21) (e22)) = (e21))) -> False). % 23.54/23.76 do 0 intro. intros zenon_H19f zenon_H28 zenon_H27 zenon_Hb4 zenon_Hb1 zenon_H5a zenon_H53 zenon_H4c zenon_H5c zenon_H9a zenon_H9e zenon_H120 zenon_H7b zenon_H75 zenon_H68 zenon_H80 zenon_H86 zenon_H87 zenon_H95 zenon_H94 zenon_H8f zenon_H8b zenon_H6f zenon_Hc0 zenon_H62 zenon_Ha6 zenon_H4d zenon_Hc8 zenon_H299 zenon_H3b zenon_H238 zenon_H9d zenon_Hd1 zenon_Hb8 zenon_Hce zenon_Hcf zenon_Hc9 zenon_Hbc zenon_Hdb zenon_He7 zenon_Heb zenon_H10f zenon_H112 zenon_H11a zenon_Hfe zenon_Hf9 zenon_Hf3 zenon_H11d zenon_H107 zenon_H101 zenon_H121 zenon_H12f zenon_H12c zenon_H132 zenon_H135 zenon_H222 zenon_H194 zenon_H189 zenon_H188 zenon_H182 zenon_H193 zenon_H16a zenon_H177 zenon_H17d zenon_H191 zenon_H14 zenon_H18d zenon_H171 zenon_H1c1 zenon_H1c2 zenon_H1a zenon_H164 zenon_H1a8 zenon_H14e zenon_H1ca zenon_H19e. % 23.54/23.76 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_H192 | zenon_intro zenon_H168 ]. % 23.54/23.76 apply (zenon_L193_); trivial. % 23.54/23.76 apply (zenon_L227_); trivial. % 23.54/23.76 (* end of lemma zenon_L228_ *) % 23.54/23.76 assert (zenon_L229_ : ((~((op2 (e21) (e21)) = (e20)))\/((op2 (e21) (e20)) = (e21))) -> ((e10) = (op1 (e13) (e13))) -> ((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10))) -> ((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((e11) = (e12))) -> (~((e10) = (e11))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((e11) = (op1 (op1 (op1 (e13) (e13)) (e13)) (e13))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (e13)) (e13))) -> ((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12))) -> (~((h4 (op1 (e11) (e10))) = (op2 (h4 (e11)) (h4 (e10))))) -> ((h4 (e10)) = (op2 (e23) (e23))) -> ((h4 (e11)) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> ((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12))) -> ((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10))) -> ((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> ((((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e11) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e11) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e11) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e12) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e12) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e12) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e13) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e13) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e13) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))\/(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))))))))))))))))) -> ((~((op2 (e22) (e22)) = (e21)))\/((op2 (e22) (e21)) = (e22))) -> (~((op2 (e22) (e21)) = (e22))) -> ((~((op2 (e22) (e22)) = (e23)))\/((op2 (e22) (e23)) = (e22))) -> ((e22) = (op2 (op2 (e23) (e23)) (e23))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((op2 (e20) (e20)) = (e20)) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e20) = (op2 (e23) (e23))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((e21) = (e22))) -> (~((op2 (e21) (e21)) = (e21))) -> (~((e20) = (e21))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((e21) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> ((~((op2 (e22) (e22)) = (e22)))\/((op2 (e22) (e22)) = (e22))) -> ((~((op2 (e21) (e21)) = (e22)))\/((op2 (e21) (e22)) = (e21))) -> False). % 23.54/23.76 do 0 intro. intros zenon_H19f zenon_H28 zenon_H27 zenon_Hb4 zenon_Hb1 zenon_H5a zenon_H53 zenon_H4c zenon_H5c zenon_H9a zenon_H9e zenon_H120 zenon_H7b zenon_H75 zenon_H68 zenon_H80 zenon_H86 zenon_H87 zenon_H95 zenon_H94 zenon_H8f zenon_H8b zenon_H6f zenon_Hc0 zenon_H62 zenon_Ha6 zenon_H4d zenon_Hc8 zenon_H299 zenon_H3b zenon_H238 zenon_H9d zenon_Hd1 zenon_Hb8 zenon_Hce zenon_Hcf zenon_Hc9 zenon_Hbc zenon_Hdb zenon_He7 zenon_Heb zenon_H10f zenon_H112 zenon_H11a zenon_Hfe zenon_Hf9 zenon_Hf3 zenon_H11d zenon_H107 zenon_H101 zenon_H121 zenon_H12f zenon_H12c zenon_H132 zenon_H135 zenon_H1d4 zenon_H28f zenon_H1ca zenon_H14e zenon_H1a8 zenon_H164 zenon_H1a zenon_H1c2 zenon_H171 zenon_H18d zenon_H14 zenon_H191 zenon_H17d zenon_H177 zenon_H16a zenon_H193 zenon_H182 zenon_H188 zenon_H189 zenon_H194 zenon_H222 zenon_H19e. % 23.54/23.76 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_H192 | zenon_intro zenon_H168 ]. % 23.54/23.76 apply (zenon_L215_); trivial. % 23.54/23.76 apply (zenon_L227_); trivial. % 23.54/23.76 (* end of lemma zenon_L229_ *) % 23.54/23.76 assert (zenon_L230_ : ((~((op2 (e22) (e22)) = (e21)))\/(~((op2 (e22) (e21)) = (e22)))) -> ((~((op2 (e22) (e22)) = (e21)))\/((op2 (e22) (e21)) = (e22))) -> ((~((op2 (e21) (e21)) = (e20)))\/((op2 (e21) (e20)) = (e21))) -> ((e10) = (op1 (e13) (e13))) -> ((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10))) -> ((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((e11) = (e12))) -> (~((e10) = (e11))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((e11) = (op1 (op1 (op1 (e13) (e13)) (e13)) (e13))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (e13)) (e13))) -> ((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12))) -> (~((h4 (op1 (e11) (e10))) = (op2 (h4 (e11)) (h4 (e10))))) -> ((h4 (e10)) = (op2 (e23) (e23))) -> ((h4 (e11)) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> ((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12))) -> ((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10))) -> ((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> ((((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e11) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e11) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e11) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e12) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e12) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e12) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e13) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e13) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e13) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))\/(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))))))))))))))))) -> ((~((op2 (e22) (e22)) = (e22)))\/((op2 (e22) (e22)) = (e22))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> ((e21) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((e20) = (e21))) -> (~((op2 (e21) (e21)) = (e21))) -> (~((e21) = (e22))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> ((e20) = (op2 (e23) (e23))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((e22) = (op2 (op2 (e23) (e23)) (e23))) -> ((~((op2 (e22) (e22)) = (e23)))\/((op2 (e22) (e23)) = (e22))) -> ((~((op2 (e21) (e21)) = (e22)))\/((op2 (e21) (e22)) = (e21))) -> ((~((op2 (e20) (e20)) = (e20)))\/((op2 (e20) (e20)) = (e20))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e20)) = (e22))\/((op2 (e20) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (e21))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((~((op2 (e20) (e20)) = (e23)))\/((op2 (e20) (e23)) = (e20))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> False). % 23.54/23.76 do 0 intro. intros zenon_H290 zenon_H1d4 zenon_H19f zenon_H28 zenon_H27 zenon_Hb4 zenon_Hb1 zenon_H5a zenon_H53 zenon_H4c zenon_H5c zenon_H9a zenon_H9e zenon_H120 zenon_H7b zenon_H75 zenon_H68 zenon_H80 zenon_H86 zenon_H87 zenon_H95 zenon_H94 zenon_H8f zenon_H8b zenon_H6f zenon_Hc0 zenon_H62 zenon_Ha6 zenon_H4d zenon_Hc8 zenon_H299 zenon_H3b zenon_H238 zenon_H9d zenon_Hd1 zenon_Hb8 zenon_Hce zenon_Hcf zenon_Hc9 zenon_Hbc zenon_Hdb zenon_He7 zenon_Heb zenon_H10f zenon_H112 zenon_H11a zenon_Hfe zenon_Hf9 zenon_Hf3 zenon_H11d zenon_H107 zenon_H101 zenon_H121 zenon_H12f zenon_H12c zenon_H132 zenon_H135 zenon_H222 zenon_H194 zenon_H189 zenon_H188 zenon_H182 zenon_H193 zenon_H16a zenon_H177 zenon_H17d zenon_H191 zenon_H14 zenon_H18d zenon_H171 zenon_H1c2 zenon_H164 zenon_H1a8 zenon_H14e zenon_H1ca zenon_H19e zenon_H1a0 zenon_H19b zenon_H15e zenon_H14d zenon_H15d zenon_H154 zenon_H15b zenon_H1b3 zenon_H1b6. % 23.54/23.76 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H28f ]. % 23.54/23.76 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H1a | zenon_intro zenon_H1b7 ]. % 23.54/23.76 apply (zenon_L228_); trivial. % 23.54/23.76 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H19a | zenon_intro zenon_H1b8 ]. % 23.54/23.76 exact (zenon_H193 zenon_H19a). % 23.54/23.76 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H16f | zenon_intro zenon_H1a2 ]. % 23.54/23.76 apply (zenon_L114_); trivial. % 23.54/23.76 apply (zenon_L118_); trivial. % 23.54/23.76 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H1a | zenon_intro zenon_H1b7 ]. % 23.54/23.76 apply (zenon_L229_); trivial. % 23.54/23.76 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H19a | zenon_intro zenon_H1b8 ]. % 23.54/23.76 exact (zenon_H193 zenon_H19a). % 23.54/23.76 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H16f | zenon_intro zenon_H1a2 ]. % 23.54/23.76 apply (zenon_L114_); trivial. % 23.54/23.76 apply (zenon_L118_); trivial. % 23.54/23.76 (* end of lemma zenon_L230_ *) % 23.54/23.76 assert (zenon_L231_ : ((~((op2 (e22) (e22)) = (e21)))\/(~((op2 (e22) (e21)) = (e22)))) -> ((~((op2 (e22) (e22)) = (e21)))\/((op2 (e22) (e21)) = (e22))) -> ((~((op2 (e21) (e21)) = (e20)))\/((op2 (e21) (e20)) = (e21))) -> ((e10) = (op1 (e13) (e13))) -> ((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10))) -> ((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((e11) = (e12))) -> (~((e10) = (e11))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((e11) = (op1 (op1 (op1 (e13) (e13)) (e13)) (e13))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (e13)) (e13))) -> ((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12))) -> (~((h4 (op1 (e11) (e10))) = (op2 (h4 (e11)) (h4 (e10))))) -> ((h4 (e10)) = (op2 (e23) (e23))) -> ((h4 (e11)) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> ((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12))) -> ((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10))) -> ((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> ((((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e11) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e11) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e11) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e12) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e12) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e12) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e13) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e13) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e13) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))\/(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))))))))))))))))) -> ((~((op2 (e22) (e22)) = (e22)))\/((op2 (e22) (e22)) = (e22))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> ((e21) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((e20) = (e21))) -> (~((op2 (e21) (e21)) = (e21))) -> (~((e21) = (e22))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> ((e20) = (op2 (e23) (e23))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((e22) = (op2 (op2 (e23) (e23)) (e23))) -> ((~((op2 (e22) (e22)) = (e23)))\/((op2 (e22) (e23)) = (e22))) -> ((~((op2 (e21) (e21)) = (e22)))\/((op2 (e21) (e22)) = (e21))) -> ((~((op2 (e20) (e20)) = (e20)))\/((op2 (e20) (e20)) = (e20))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((~((op2 (e20) (e20)) = (e23)))\/((op2 (e20) (e23)) = (e20))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e20)) = (e22))\/((op2 (e20) (e20)) = (e23))))) -> (~((op2 (e20) (e21)) = (e20))) -> ((~((op2 (e20) (e20)) = (e21)))\/((op2 (e20) (e21)) = (e20))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> False). % 23.54/23.76 do 0 intro. intros zenon_H290 zenon_H1d4 zenon_H19f zenon_H28 zenon_H27 zenon_Hb4 zenon_Hb1 zenon_H5a zenon_H53 zenon_H4c zenon_H5c zenon_H9a zenon_H9e zenon_H120 zenon_H7b zenon_H75 zenon_H68 zenon_H80 zenon_H86 zenon_H87 zenon_H95 zenon_H94 zenon_H8f zenon_H8b zenon_H6f zenon_Hc0 zenon_H62 zenon_Ha6 zenon_H4d zenon_Hc8 zenon_H299 zenon_H3b zenon_H238 zenon_H9d zenon_Hd1 zenon_Hb8 zenon_Hce zenon_Hcf zenon_Hc9 zenon_Hbc zenon_Hdb zenon_He7 zenon_Heb zenon_H10f zenon_H112 zenon_H11a zenon_Hfe zenon_Hf9 zenon_Hf3 zenon_H11d zenon_H107 zenon_H101 zenon_H121 zenon_H12f zenon_H12c zenon_H132 zenon_H135 zenon_H222 zenon_H194 zenon_H189 zenon_H188 zenon_H182 zenon_H193 zenon_H16a zenon_H177 zenon_H17d zenon_H191 zenon_H14 zenon_H18d zenon_H171 zenon_H1c2 zenon_H164 zenon_H1a8 zenon_H14e zenon_H1ca zenon_H19e zenon_H1a0 zenon_H19b zenon_H15b zenon_H154 zenon_H14d zenon_H15e zenon_H1b9 zenon_H1ba zenon_H1b3 zenon_H1b6. % 23.54/23.76 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H28f ]. % 23.54/23.76 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H1a | zenon_intro zenon_H1b7 ]. % 23.54/23.76 apply (zenon_L228_); trivial. % 23.54/23.76 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H19a | zenon_intro zenon_H1b8 ]. % 23.54/23.76 exact (zenon_H193 zenon_H19a). % 23.54/23.76 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H16f | zenon_intro zenon_H1a2 ]. % 23.54/23.76 apply (zenon_L120_); trivial. % 23.54/23.76 apply (zenon_L118_); trivial. % 23.54/23.76 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H1a | zenon_intro zenon_H1b7 ]. % 23.54/23.76 apply (zenon_L229_); trivial. % 23.54/23.76 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H19a | zenon_intro zenon_H1b8 ]. % 23.54/23.76 exact (zenon_H193 zenon_H19a). % 23.54/23.76 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H16f | zenon_intro zenon_H1a2 ]. % 23.54/23.76 apply (zenon_L120_); trivial. % 23.54/23.76 apply (zenon_L118_); trivial. % 23.54/23.76 (* end of lemma zenon_L231_ *) % 23.54/23.76 assert (zenon_L232_ : ((~((op2 (e20) (e20)) = (e21)))\/(~((op2 (e20) (e21)) = (e20)))) -> ((~((op2 (e20) (e20)) = (e21)))\/((op2 (e20) (e21)) = (e20))) -> ((~((op2 (e22) (e22)) = (e21)))\/(~((op2 (e22) (e21)) = (e22)))) -> ((~((op2 (e22) (e22)) = (e21)))\/((op2 (e22) (e21)) = (e22))) -> ((~((op2 (e21) (e21)) = (e20)))\/((op2 (e21) (e20)) = (e21))) -> ((e10) = (op1 (e13) (e13))) -> ((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10))) -> ((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((e11) = (e12))) -> (~((e10) = (e11))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((e11) = (op1 (op1 (op1 (e13) (e13)) (e13)) (e13))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (e13)) (e13))) -> ((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12))) -> (~((h4 (op1 (e11) (e10))) = (op2 (h4 (e11)) (h4 (e10))))) -> ((h4 (e10)) = (op2 (e23) (e23))) -> ((h4 (e11)) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> ((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12))) -> ((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10))) -> ((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> ((((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e11) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e11) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e11) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e12) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e12) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e12) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e13) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e13) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e13) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))\/(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))))))))))))))))) -> ((~((op2 (e22) (e22)) = (e22)))\/((op2 (e22) (e22)) = (e22))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> ((e21) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((e20) = (e21))) -> (~((e21) = (e22))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> ((e20) = (op2 (e23) (e23))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((e22) = (op2 (op2 (e23) (e23)) (e23))) -> ((~((op2 (e22) (e22)) = (e23)))\/((op2 (e22) (e23)) = (e22))) -> ((~((op2 (e21) (e21)) = (e22)))\/((op2 (e21) (e22)) = (e21))) -> ((~((op2 (e20) (e20)) = (e20)))\/((op2 (e20) (e20)) = (e20))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e20)) = (e22))\/((op2 (e20) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((~((op2 (e20) (e20)) = (e23)))\/((op2 (e20) (e23)) = (e20))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> ((~((op2 (e21) (e21)) = (e21)))\/(~((op2 (e21) (e21)) = (e21)))) -> False). % 23.54/23.76 do 0 intro. intros zenon_H1bc zenon_H1ba zenon_H290 zenon_H1d4 zenon_H19f zenon_H28 zenon_H27 zenon_Hb4 zenon_Hb1 zenon_H5a zenon_H53 zenon_H4c zenon_H5c zenon_H9a zenon_H9e zenon_H120 zenon_H7b zenon_H75 zenon_H68 zenon_H80 zenon_H86 zenon_H87 zenon_H95 zenon_H94 zenon_H8f zenon_H8b zenon_H6f zenon_Hc0 zenon_H62 zenon_Ha6 zenon_H4d zenon_Hc8 zenon_H299 zenon_H3b zenon_H238 zenon_H9d zenon_Hd1 zenon_Hb8 zenon_Hce zenon_Hcf zenon_Hc9 zenon_Hbc zenon_Hdb zenon_He7 zenon_Heb zenon_H10f zenon_H112 zenon_H11a zenon_Hfe zenon_Hf9 zenon_Hf3 zenon_H11d zenon_H107 zenon_H101 zenon_H121 zenon_H12f zenon_H12c zenon_H132 zenon_H135 zenon_H222 zenon_H194 zenon_H189 zenon_H188 zenon_H182 zenon_H16a zenon_H177 zenon_H17d zenon_H191 zenon_H14 zenon_H18d zenon_H171 zenon_H1c2 zenon_H164 zenon_H1a8 zenon_H14e zenon_H1ca zenon_H19e zenon_H1a0 zenon_H19b zenon_H15e zenon_H14d zenon_H154 zenon_H15b zenon_H1b3 zenon_H1b6 zenon_H1bd. % 23.54/23.76 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H15d | zenon_intro zenon_H1b9 ]. % 23.54/23.76 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H193 | zenon_intro zenon_H193 ]. % 23.54/23.76 apply (zenon_L230_); trivial. % 23.54/23.76 apply (zenon_L230_); trivial. % 23.54/23.76 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H193 | zenon_intro zenon_H193 ]. % 23.54/23.76 apply (zenon_L231_); trivial. % 23.54/23.76 apply (zenon_L231_); trivial. % 23.54/23.76 (* end of lemma zenon_L232_ *) % 23.54/23.76 assert (zenon_L233_ : ((~((op2 (e22) (e22)) = (e22)))\/((op2 (e22) (e22)) = (e22))) -> ((~((op2 (e21) (e21)) = (e22)))\/((op2 (e21) (e22)) = (e21))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((op2 (e20) (e20)) = (e20)) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((e20) = (e21))) -> (~((op2 (e21) (e21)) = (e21))) -> (~((e21) = (e22))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((~((op2 (e21) (e21)) = (e20)))\/((op2 (e21) (e20)) = (e21))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> ((e22) = (op2 (op2 (e23) (e23)) (e23))) -> ((e21) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (e20))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (e23) (e23))) -> ((~((op2 (e22) (e22)) = (e23)))\/((op2 (e22) (e23)) = (e22))) -> False). % 23.54/23.76 do 0 intro. intros zenon_H222 zenon_H19e zenon_H164 zenon_H1a zenon_H194 zenon_H188 zenon_H182 zenon_H193 zenon_H16a zenon_H171 zenon_H177 zenon_H17d zenon_H18d zenon_H191 zenon_H19b zenon_H19f zenon_H1c2 zenon_H14e zenon_H189 zenon_H1be zenon_H1c3 zenon_H1a8 zenon_H14 zenon_H1ca. % 23.54/23.76 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H16f ]. % 23.54/23.76 apply (zenon_L125_); trivial. % 23.54/23.76 apply (zenon_L113_); trivial. % 23.54/23.76 (* end of lemma zenon_L233_ *) % 23.54/23.76 assert (zenon_L234_ : ((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((op1 (e10) (e10)) = (e10)) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((e10) = (e11))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((e12) = (op1 (op1 (e13) (e13)) (e13))) -> ((e11) = (op1 (op1 (op1 (e13) (e13)) (e13)) (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (e10))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (e13) (e13))) -> ((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12))) -> False). % 23.54/23.76 do 0 intro. intros zenon_H120 zenon_H94 zenon_H62 zenon_H2e zenon_H95 zenon_H86 zenon_H80 zenon_H96 zenon_H68 zenon_H6f zenon_H75 zenon_H7b zenon_H8b zenon_H8f zenon_H9a zenon_H9d zenon_Hc0 zenon_H4d zenon_H87 zenon_Hbc zenon_Hc1 zenon_Ha6 zenon_H28 zenon_Hc8. % 23.54/23.76 apply (zenon_or_s _ _ zenon_H120); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H6d ]. % 23.54/23.76 apply (zenon_L44_); trivial. % 23.54/23.76 apply (zenon_L32_); trivial. % 23.54/23.76 (* end of lemma zenon_L234_ *) % 23.54/23.76 assert (zenon_L235_ : ((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12))) -> ((op1 (e12) (e10)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (e21))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e22)) = (e23))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((op1 (e10) (e10)) = (e10)) -> (~((h4 (op1 (e11) (e11))) = (op2 (h4 (e11)) (h4 (e11))))) -> ((h4 (e10)) = (op2 (e23) (e23))) -> ((e21) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> ((h4 (e11)) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> ((e20) = (op2 (e23) (e23))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (e11))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((e10) = (op1 (e13) (e13))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> ((op2 (e20) (e20)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (e13)) (e13))) -> ((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12))) -> False). % 23.54/23.76 do 0 intro. intros zenon_H120 zenon_Hca zenon_Hcf zenon_H191 zenon_H18d zenon_H171 zenon_H1c1 zenon_H1c4 zenon_H1c5 zenon_H1c2 zenon_H62 zenon_H2e zenon_H2a5 zenon_H3b zenon_H189 zenon_H238 zenon_H14 zenon_Hc0 zenon_Hbf zenon_H6f zenon_H8b zenon_H28 zenon_H8f zenon_H1a zenon_H164 zenon_Ha6 zenon_H4d zenon_Hc8. % 23.54/23.76 apply (zenon_or_s _ _ zenon_H120); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H6d ]. % 23.54/23.76 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Ha5 ]. % 23.54/23.76 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_H165 | zenon_intro zenon_H195 ]. % 23.54/23.76 apply (zenon_L99_); trivial. % 23.54/23.76 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H197 | zenon_intro zenon_H196 ]. % 23.54/23.76 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H63 | zenon_intro zenon_H91 ]. % 23.54/23.76 apply (zenon_L18_); trivial. % 23.54/23.76 apply (zenon_or_s _ _ zenon_H91); [ zenon_intro zenon_H93 | zenon_intro zenon_H92 ]. % 23.54/23.76 cut (((h4 (e10)) = (op2 (e23) (e23))) = ((h4 (op1 (e11) (e11))) = (op2 (h4 (e11)) (h4 (e11))))). % 23.54/23.76 intro zenon_D_pnotp. % 23.54/23.76 apply zenon_H2a5. % 23.54/23.76 rewrite <- zenon_D_pnotp. % 23.54/23.76 exact zenon_H3b. % 23.54/23.76 cut (((op2 (e23) (e23)) = (op2 (h4 (e11)) (h4 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H2a6]. % 23.54/23.76 cut (((h4 (e10)) = (h4 (op1 (e11) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H2a7]. % 23.54/23.76 congruence. % 23.54/23.76 elim (classic ((h4 (op1 (e11) (e11))) = (h4 (op1 (e11) (e11))))); [ zenon_intro zenon_H2a8 | zenon_intro zenon_H2a9 ]. % 23.54/23.76 cut (((h4 (op1 (e11) (e11))) = (h4 (op1 (e11) (e11)))) = ((h4 (e10)) = (h4 (op1 (e11) (e11))))). % 23.54/23.76 intro zenon_D_pnotp. % 23.54/23.76 apply zenon_H2a7. % 23.54/23.76 rewrite <- zenon_D_pnotp. % 23.54/23.76 exact zenon_H2a8. % 23.54/23.76 cut (((h4 (op1 (e11) (e11))) = (h4 (op1 (e11) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H2a9]. % 23.54/23.76 cut (((h4 (op1 (e11) (e11))) = (h4 (e10)))); [idtac | apply NNPP; zenon_intro zenon_H2aa]. % 23.54/23.76 congruence. % 23.54/23.76 cut (((op1 (e11) (e11)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H90]. % 23.54/23.76 congruence. % 23.54/23.76 exact (zenon_H90 zenon_H93). % 23.54/23.76 apply zenon_H2a9. apply refl_equal. % 23.54/23.76 apply zenon_H2a9. apply refl_equal. % 23.54/23.76 elim (classic ((op2 (h4 (e11)) (h4 (e11))) = (op2 (h4 (e11)) (h4 (e11))))); [ zenon_intro zenon_H2ab | zenon_intro zenon_H2ac ]. % 23.54/23.76 cut (((op2 (h4 (e11)) (h4 (e11))) = (op2 (h4 (e11)) (h4 (e11)))) = ((op2 (e23) (e23)) = (op2 (h4 (e11)) (h4 (e11))))). % 23.54/23.76 intro zenon_D_pnotp. % 23.54/23.76 apply zenon_H2a6. % 23.54/23.76 rewrite <- zenon_D_pnotp. % 23.54/23.76 exact zenon_H2ab. % 23.54/23.76 cut (((op2 (h4 (e11)) (h4 (e11))) = (op2 (h4 (e11)) (h4 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H2ac]. % 23.54/23.76 cut (((op2 (h4 (e11)) (h4 (e11))) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H2ad]. % 23.54/23.76 congruence. % 23.54/23.76 cut (((op2 (e21) (e21)) = (e20)) = ((op2 (h4 (e11)) (h4 (e11))) = (op2 (e23) (e23)))). % 23.54/23.76 intro zenon_D_pnotp. % 23.54/23.76 apply zenon_H2ad. % 23.54/23.76 rewrite <- zenon_D_pnotp. % 23.54/23.76 exact zenon_H197. % 23.54/23.76 cut (((e20) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H47]. % 23.54/23.76 cut (((op2 (e21) (e21)) = (op2 (h4 (e11)) (h4 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H2ae]. % 23.54/23.76 congruence. % 23.54/23.76 elim (classic ((op2 (h4 (e11)) (h4 (e11))) = (op2 (h4 (e11)) (h4 (e11))))); [ zenon_intro zenon_H2ab | zenon_intro zenon_H2ac ]. % 23.54/23.76 cut (((op2 (h4 (e11)) (h4 (e11))) = (op2 (h4 (e11)) (h4 (e11)))) = ((op2 (e21) (e21)) = (op2 (h4 (e11)) (h4 (e11))))). % 23.54/23.76 intro zenon_D_pnotp. % 23.54/23.76 apply zenon_H2ae. % 23.54/23.76 rewrite <- zenon_D_pnotp. % 23.54/23.76 exact zenon_H2ab. % 23.54/23.76 cut (((op2 (h4 (e11)) (h4 (e11))) = (op2 (h4 (e11)) (h4 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H2ac]. % 23.54/23.76 cut (((op2 (h4 (e11)) (h4 (e11))) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H2af]. % 23.54/23.76 congruence. % 23.54/23.76 cut (((h4 (e11)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H237]. % 23.54/23.76 cut (((h4 (e11)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H237]. % 23.54/23.76 congruence. % 23.54/23.76 apply (zenon_L175_); trivial. % 23.54/23.76 apply (zenon_L175_); trivial. % 23.54/23.76 apply zenon_H2ac. apply refl_equal. % 23.54/23.76 apply zenon_H2ac. apply refl_equal. % 23.54/23.76 exact (zenon_H47 zenon_H14). % 23.54/23.76 apply zenon_H2ac. apply refl_equal. % 23.54/23.76 apply zenon_H2ac. apply refl_equal. % 23.54/23.76 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H82 | zenon_intro zenon_H8c ]. % 23.54/23.76 apply (zenon_L194_); trivial. % 23.54/23.76 apply (zenon_L27_); trivial. % 23.54/23.76 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_H184 | zenon_intro zenon_H18e ]. % 23.54/23.76 apply (zenon_L190_); trivial. % 23.54/23.76 apply (zenon_L108_); trivial. % 23.54/23.76 apply (zenon_L35_); trivial. % 23.54/23.76 apply (zenon_L65_); trivial. % 23.54/23.76 (* end of lemma zenon_L235_ *) % 23.54/23.76 assert (zenon_L236_ : ((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((op2 (e20) (e20)) = (e20)) -> (~((op1 (e12) (e12)) = (e11))) -> ((e20) = (op2 (e23) (e23))) -> ((h4 (e11)) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> ((e21) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> ((h4 (e10)) = (op2 (e23) (e23))) -> (~((h4 (op1 (e11) (e11))) = (op2 (h4 (e11)) (h4 (e11))))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (e23))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e22)) = (e21))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12))) -> ((e10) = (op1 (e13) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((e11) = (op1 (op1 (op1 (e13) (e13)) (e13)) (e13))) -> ((e12) = (op1 (op1 (e13) (e13)) (e13))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((e10) = (e11))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> ((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12))) -> False). % 23.54/23.76 do 0 intro. intros zenon_Hce zenon_H164 zenon_H1a zenon_Hbf zenon_H14 zenon_H238 zenon_H189 zenon_H3b zenon_H2a5 zenon_H1c2 zenon_H1c5 zenon_H1c4 zenon_H1c1 zenon_H171 zenon_H18d zenon_H191 zenon_Hcf zenon_Hc8 zenon_H28 zenon_Ha6 zenon_Hbc zenon_H87 zenon_H4d zenon_Hc0 zenon_H9d zenon_H9a zenon_H8f zenon_H8b zenon_H7b zenon_H75 zenon_H6f zenon_H68 zenon_H96 zenon_H80 zenon_H86 zenon_H95 zenon_H2e zenon_H62 zenon_H94 zenon_H120. % 23.54/23.76 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_Hc1 | zenon_intro zenon_Hca ]. % 23.54/23.76 apply (zenon_L234_); trivial. % 23.54/23.76 apply (zenon_L235_); trivial. % 23.54/23.76 (* end of lemma zenon_L236_ *) % 23.54/23.76 assert (zenon_L237_ : ((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (e21))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e22)) = (e23))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((h4 (op1 (e11) (e11))) = (op2 (h4 (e11)) (h4 (e11))))) -> ((h4 (e10)) = (op2 (e23) (e23))) -> ((e21) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> ((h4 (e11)) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> ((e20) = (op2 (e23) (e23))) -> ((op2 (e20) (e20)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op1 (e12) (e11)) = (e12))) -> ((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12))) -> ((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12))) -> ((e10) = (op1 (e13) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((e11) = (op1 (op1 (op1 (e13) (e13)) (e13)) (e13))) -> ((e12) = (op1 (op1 (e13) (e13)) (e13))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((e10) = (e11))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> ((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12))) -> False). % 23.54/23.76 do 0 intro. intros zenon_Hce zenon_Hcf zenon_H191 zenon_H18d zenon_H171 zenon_H1c1 zenon_H1c4 zenon_H1c5 zenon_H1c2 zenon_H2a5 zenon_H3b zenon_H189 zenon_H238 zenon_H14 zenon_H1a zenon_H164 zenon_H28b zenon_Hd1 zenon_Hc8 zenon_H28 zenon_Ha6 zenon_Hbc zenon_H87 zenon_H4d zenon_Hc0 zenon_H9d zenon_H9a zenon_H8f zenon_H8b zenon_H7b zenon_H75 zenon_H6f zenon_H68 zenon_H96 zenon_H80 zenon_H86 zenon_H95 zenon_H2e zenon_H62 zenon_H94 zenon_H120. % 23.54/23.76 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_Hc1 | zenon_intro zenon_Hca ]. % 23.54/23.76 apply (zenon_L234_); trivial. % 23.54/23.76 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hcb ]. % 23.54/23.76 apply (zenon_L235_); trivial. % 23.54/23.76 exact (zenon_H28b zenon_Hcb). % 23.54/23.76 (* end of lemma zenon_L237_ *) % 23.54/23.76 assert (zenon_L238_ : ((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12)))) -> ((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12))) -> ((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((op2 (e20) (e20)) = (e20)) -> ((e20) = (op2 (e23) (e23))) -> ((h4 (e11)) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> ((e21) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> ((h4 (e10)) = (op2 (e23) (e23))) -> (~((h4 (op1 (e11) (e11))) = (op2 (h4 (e11)) (h4 (e11))))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (e23))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e22)) = (e21))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12))) -> ((e10) = (op1 (e13) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((e11) = (op1 (op1 (op1 (e13) (e13)) (e13)) (e13))) -> ((e12) = (op1 (op1 (e13) (e13)) (e13))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((e10) = (e11))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> ((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12))) -> ((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (e11))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> False). % 23.54/23.76 do 0 intro. intros zenon_H28c zenon_Hd1 zenon_Hce zenon_H164 zenon_H1a zenon_H14 zenon_H238 zenon_H189 zenon_H3b zenon_H2a5 zenon_H1c2 zenon_H1c5 zenon_H1c4 zenon_H1c1 zenon_H171 zenon_H18d zenon_H191 zenon_Hcf zenon_Hc8 zenon_H28 zenon_Ha6 zenon_Hbc zenon_H87 zenon_H4d zenon_Hc0 zenon_H9d zenon_H9a zenon_H8f zenon_H8b zenon_H7b zenon_H75 zenon_H6f zenon_H68 zenon_H96 zenon_H80 zenon_H86 zenon_H95 zenon_H62 zenon_H94 zenon_H120 zenon_H9e zenon_H5c zenon_H4c zenon_H5b zenon_H53 zenon_H5a zenon_Hb1 zenon_Hb4. % 23.54/23.76 apply (zenon_or_s _ _ zenon_H28c); [ zenon_intro zenon_Hbf | zenon_intro zenon_H28b ]. % 23.54/23.76 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H2e | zenon_intro zenon_Hb5 ]. % 23.54/23.76 apply (zenon_L236_); trivial. % 23.54/23.76 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_H99 | zenon_intro zenon_Hb6 ]. % 23.54/23.76 exact (zenon_H96 zenon_H99). % 23.54/23.76 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_H6d | zenon_intro zenon_Ha0 ]. % 23.54/23.76 apply (zenon_L33_); trivial. % 23.54/23.76 apply (zenon_L37_); trivial. % 23.54/23.76 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H2e | zenon_intro zenon_Hb5 ]. % 23.54/23.76 apply (zenon_L237_); trivial. % 23.54/23.76 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_H99 | zenon_intro zenon_Hb6 ]. % 23.54/23.76 exact (zenon_H96 zenon_H99). % 23.54/23.76 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_H6d | zenon_intro zenon_Ha0 ]. % 23.54/23.76 apply (zenon_L33_); trivial. % 23.54/23.76 apply (zenon_L37_); trivial. % 23.54/23.76 (* end of lemma zenon_L238_ *) % 23.54/23.76 assert (zenon_L239_ : ((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12)))) -> ((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12))) -> ((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((op2 (e20) (e20)) = (e20)) -> ((e20) = (op2 (e23) (e23))) -> ((h4 (e11)) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> ((e21) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> ((h4 (e10)) = (op2 (e23) (e23))) -> (~((h4 (op1 (e11) (e11))) = (op2 (h4 (e11)) (h4 (e11))))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (e23))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e22)) = (e21))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12))) -> ((e10) = (op1 (e13) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((e11) = (op1 (op1 (op1 (e13) (e13)) (e13)) (e13))) -> ((e12) = (op1 (op1 (e13) (e13)) (e13))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((e10) = (e11))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> ((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12))) -> ((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10))) -> ((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e10) (e11)) = (e10))) -> ((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> False). % 23.54/23.76 do 0 intro. intros zenon_H28c zenon_Hd1 zenon_Hce zenon_H164 zenon_H1a zenon_H14 zenon_H238 zenon_H189 zenon_H3b zenon_H2a5 zenon_H1c2 zenon_H1c5 zenon_H1c4 zenon_H1c1 zenon_H171 zenon_H18d zenon_H191 zenon_Hcf zenon_Hc8 zenon_H28 zenon_Ha6 zenon_Hbc zenon_H87 zenon_H4d zenon_Hc0 zenon_H9d zenon_H9a zenon_H8f zenon_H8b zenon_H7b zenon_H75 zenon_H6f zenon_H68 zenon_H96 zenon_H80 zenon_H86 zenon_H95 zenon_H62 zenon_H94 zenon_H120 zenon_H9e zenon_H5a zenon_H53 zenon_H4c zenon_H5c zenon_Hb7 zenon_Hb8 zenon_Hb1 zenon_Hb4. % 23.54/23.76 apply (zenon_or_s _ _ zenon_H28c); [ zenon_intro zenon_Hbf | zenon_intro zenon_H28b ]. % 23.54/23.76 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H2e | zenon_intro zenon_Hb5 ]. % 23.54/23.76 apply (zenon_L236_); trivial. % 23.54/23.76 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_H99 | zenon_intro zenon_Hb6 ]. % 23.54/23.76 exact (zenon_H96 zenon_H99). % 23.54/23.76 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_H6d | zenon_intro zenon_Ha0 ]. % 23.54/23.76 apply (zenon_L39_); trivial. % 23.54/23.76 apply (zenon_L37_); trivial. % 23.54/23.76 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H2e | zenon_intro zenon_Hb5 ]. % 23.54/23.76 apply (zenon_L237_); trivial. % 23.54/23.76 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_H99 | zenon_intro zenon_Hb6 ]. % 23.54/23.76 exact (zenon_H96 zenon_H99). % 23.54/23.76 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_H6d | zenon_intro zenon_Ha0 ]. % 23.54/23.76 apply (zenon_L39_); trivial. % 23.54/23.76 apply (zenon_L37_); trivial. % 23.54/23.76 (* end of lemma zenon_L239_ *) % 23.54/23.76 assert (zenon_L240_ : ((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10)))) -> ((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10))) -> ((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12)))) -> ((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12))) -> ((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((op2 (e20) (e20)) = (e20)) -> ((e20) = (op2 (e23) (e23))) -> ((h4 (e11)) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> ((e21) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> ((h4 (e10)) = (op2 (e23) (e23))) -> (~((h4 (op1 (e11) (e11))) = (op2 (h4 (e11)) (h4 (e11))))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (e23))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e22)) = (e21))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12))) -> ((e10) = (op1 (e13) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((e11) = (op1 (op1 (op1 (e13) (e13)) (e13)) (e13))) -> ((e12) = (op1 (op1 (e13) (e13)) (e13))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((e11) = (e12))) -> (~((e10) = (e11))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> ((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12))) -> ((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11)))) -> False). % 23.54/23.76 do 0 intro. intros zenon_Hba zenon_Hb8 zenon_H28c zenon_Hd1 zenon_Hce zenon_H164 zenon_H1a zenon_H14 zenon_H238 zenon_H189 zenon_H3b zenon_H2a5 zenon_H1c2 zenon_H1c5 zenon_H1c4 zenon_H1c1 zenon_H171 zenon_H18d zenon_H191 zenon_Hcf zenon_Hc8 zenon_H28 zenon_Ha6 zenon_Hbc zenon_H87 zenon_H4d zenon_Hc0 zenon_H9d zenon_H9a zenon_H8f zenon_H8b zenon_H7b zenon_H75 zenon_H6f zenon_H68 zenon_H80 zenon_H86 zenon_H95 zenon_H62 zenon_H94 zenon_H120 zenon_H9e zenon_H5c zenon_H4c zenon_H53 zenon_H5a zenon_Hb1 zenon_Hb4 zenon_Hbb. % 23.54/23.76 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H5b | zenon_intro zenon_Hb7 ]. % 23.54/23.76 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H96 | zenon_intro zenon_H96 ]. % 23.54/23.76 apply (zenon_L238_); trivial. % 23.54/23.76 apply (zenon_L238_); trivial. % 23.54/23.76 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H96 | zenon_intro zenon_H96 ]. % 23.54/23.76 apply (zenon_L239_); trivial. % 23.54/23.76 apply (zenon_L239_); trivial. % 23.54/23.76 (* end of lemma zenon_L240_ *) % 23.54/23.76 assert (zenon_L241_ : ((~((op2 (e22) (e22)) = (e22)))\/((op2 (e22) (e22)) = (e22))) -> ((op2 (e22) (e20)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e11) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e11) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e11) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e12) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e12) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e12) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e13) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e13) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e13) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))\/(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))))))))))))))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10))) -> ((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12))) -> ((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((op2 (e20) (e20)) = (e20)) -> ((e20) = (op2 (e23) (e23))) -> ((h4 (e11)) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> ((e21) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> ((h4 (e10)) = (op2 (e23) (e23))) -> (~((h4 (op1 (e11) (e11))) = (op2 (h4 (e11)) (h4 (e11))))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (e21))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((e11) = (op1 (op1 (op1 (e13) (e13)) (e13)) (e13))) -> ((e12) = (op1 (op1 (e13) (e13)) (e13))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((e11) = (e12))) -> (~((e10) = (e11))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> ((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12))) -> ((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> ((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))) -> ((e10) = (op1 (e13) (e13))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((e22) = (op2 (op2 (e23) (e23)) (e23))) -> ((~((op2 (e22) (e22)) = (e23)))\/((op2 (e22) (e23)) = (e22))) -> False). % 23.54/23.76 do 0 intro. intros zenon_H222 zenon_H1d0 zenon_H1cb zenon_H135 zenon_H132 zenon_H12c zenon_H12f zenon_H121 zenon_H101 zenon_H107 zenon_H11d zenon_Hf3 zenon_Hf9 zenon_Hfe zenon_H11a zenon_H112 zenon_H10f zenon_Heb zenon_He7 zenon_Hdb zenon_Hc9 zenon_Hb8 zenon_Hd1 zenon_Hce zenon_H164 zenon_H1a zenon_H14 zenon_H238 zenon_H189 zenon_H3b zenon_H2a5 zenon_H1c2 zenon_H1c1 zenon_H171 zenon_H18d zenon_H191 zenon_Hcf zenon_Hc8 zenon_Ha6 zenon_Hbc zenon_H87 zenon_H4d zenon_Hc0 zenon_H9d zenon_H9a zenon_H8f zenon_H8b zenon_H7b zenon_H75 zenon_H6f zenon_H68 zenon_H80 zenon_H86 zenon_H95 zenon_H62 zenon_H94 zenon_H120 zenon_H9e zenon_H5c zenon_H4c zenon_H53 zenon_H5a zenon_Hb1 zenon_Hb4 zenon_H27 zenon_H28 zenon_H1a8 zenon_H14e zenon_H1ca. % 23.54/23.76 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H16f ]. % 23.54/23.76 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H1a7 ]. % 23.54/23.76 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H2c | zenon_intro zenon_H136 ]. % 23.54/23.76 apply (zenon_L7_); trivial. % 23.54/23.76 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H34 | zenon_intro zenon_H137 ]. % 23.54/23.76 apply (zenon_L8_); trivial. % 23.54/23.76 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H36 | zenon_intro zenon_H138 ]. % 23.54/23.76 apply (zenon_L9_); trivial. % 23.54/23.76 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H38 | zenon_intro zenon_H139 ]. % 23.54/23.76 apply (zenon_L10_); trivial. % 23.54/23.76 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H13b | zenon_intro zenon_H13a ]. % 23.54/23.76 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_H63. zenon_intro zenon_H13c. % 23.54/23.76 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_Hba. zenon_intro zenon_H13d. % 23.54/23.76 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_Hbb. zenon_intro zenon_H13e. % 23.54/23.76 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_H28c. zenon_intro zenon_H28e. % 23.54/23.76 apply (zenon_L240_); trivial. % 23.54/23.76 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H140 | zenon_intro zenon_H13f ]. % 23.54/23.76 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H99. zenon_intro zenon_H13c. % 23.54/23.76 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_Hba. zenon_intro zenon_H13d. % 23.54/23.76 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_Hbb. zenon_intro zenon_H13e. % 23.54/23.76 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_H28c. zenon_intro zenon_H28e. % 23.54/23.76 apply (zenon_L240_); trivial. % 23.54/23.76 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H142 | zenon_intro zenon_H141 ]. % 23.54/23.76 apply (zenon_and_s _ _ zenon_H142). zenon_intro zenon_H6e. zenon_intro zenon_H13c. % 23.54/23.76 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_Hba. zenon_intro zenon_H13d. % 23.54/23.76 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_Hbb. zenon_intro zenon_H13e. % 23.54/23.76 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_H28c. zenon_intro zenon_H28e. % 23.54/23.76 apply (zenon_L240_); trivial. % 23.54/23.76 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H144 | zenon_intro zenon_H143 ]. % 23.54/23.76 apply (zenon_and_s _ _ zenon_H144). zenon_intro zenon_He4. zenon_intro zenon_H13c. % 23.54/23.76 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_Hba. zenon_intro zenon_H13d. % 23.54/23.76 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_Hbb. zenon_intro zenon_H13e. % 23.54/23.76 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_H28c. zenon_intro zenon_H28e. % 23.54/23.76 apply (zenon_L240_); trivial. % 23.54/23.76 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H145 ]. % 23.54/23.76 apply (zenon_L47_); trivial. % 23.54/23.76 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_He1 | zenon_intro zenon_H146 ]. % 23.54/23.76 apply (zenon_L49_); trivial. % 23.54/23.76 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_He2 | zenon_intro zenon_H147 ]. % 23.54/23.76 apply (zenon_L50_); trivial. % 23.54/23.76 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_Hea | zenon_intro zenon_H148 ]. % 23.54/23.77 apply (zenon_L53_); trivial. % 23.54/23.77 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H149 ]. % 23.54/23.77 apply (zenon_L55_); trivial. % 23.54/23.77 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H124 | zenon_intro zenon_H14a ]. % 23.54/23.77 apply (zenon_L78_); trivial. % 23.54/23.77 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_H133 | zenon_intro zenon_H134 ]. % 23.54/23.77 apply (zenon_L91_); trivial. % 23.54/23.77 apply (zenon_L92_); trivial. % 23.54/23.77 apply (zenon_L116_); trivial. % 23.54/23.77 apply (zenon_L147_); trivial. % 23.54/23.77 (* end of lemma zenon_L241_ *) % 23.54/23.77 assert (zenon_L242_ : ((~((op2 (e22) (e22)) = (e20)))\/((op2 (e22) (e20)) = (e22))) -> ((e10) = (op1 (e13) (e13))) -> ((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> ((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10))) -> ((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((e10) = (e11))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((e12) = (op1 (op1 (e13) (e13)) (e13))) -> ((e11) = (op1 (op1 (op1 (e13) (e13)) (e13)) (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op2 (e22) (e22)) = (e21))) -> (~((h4 (op1 (e11) (e11))) = (op2 (h4 (e11)) (h4 (e11))))) -> ((h4 (e10)) = (op2 (e23) (e23))) -> ((h4 (e11)) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> ((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12))) -> ((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12))) -> ((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> ((((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e11) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e11) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e11) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e12) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e12) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e12) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e13) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e13) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e13) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))\/(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))))))))))))))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((~((op2 (e22) (e22)) = (e23)))\/((op2 (e22) (e23)) = (e22))) -> ((e20) = (op2 (e23) (e23))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((e21) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> ((e22) = (op2 (op2 (e23) (e23)) (e23))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> ((~((op2 (e21) (e21)) = (e20)))\/((op2 (e21) (e20)) = (e21))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((e21) = (e22))) -> (~((op2 (e21) (e21)) = (e21))) -> (~((e20) = (e21))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> ((op2 (e20) (e20)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((~((op2 (e21) (e21)) = (e22)))\/((op2 (e21) (e22)) = (e21))) -> ((~((op2 (e22) (e22)) = (e22)))\/((op2 (e22) (e22)) = (e22))) -> False). % 23.54/23.77 do 0 intro. intros zenon_H1d3 zenon_H28 zenon_H27 zenon_Hb4 zenon_Hb1 zenon_H5a zenon_H53 zenon_H4c zenon_H5c zenon_H9e zenon_H120 zenon_H94 zenon_H62 zenon_H95 zenon_H86 zenon_H80 zenon_H68 zenon_H6f zenon_H75 zenon_H7b zenon_H8b zenon_H8f zenon_H9a zenon_H9d zenon_Hc0 zenon_H4d zenon_H87 zenon_Hbc zenon_Ha6 zenon_Hc8 zenon_Hcf zenon_H1c1 zenon_H2a5 zenon_H3b zenon_H238 zenon_Hce zenon_Hd1 zenon_Hb8 zenon_Hc9 zenon_Hdb zenon_He7 zenon_Heb zenon_H10f zenon_H112 zenon_H11a zenon_Hfe zenon_Hf9 zenon_Hf3 zenon_H11d zenon_H107 zenon_H101 zenon_H121 zenon_H12f zenon_H12c zenon_H132 zenon_H135 zenon_H1cb zenon_H1ca zenon_H14 zenon_H1a8 zenon_H1be zenon_H189 zenon_H14e zenon_H1c2 zenon_H19f zenon_H19b zenon_H191 zenon_H18d zenon_H17d zenon_H177 zenon_H171 zenon_H16a zenon_H193 zenon_H182 zenon_H188 zenon_H194 zenon_H1a zenon_H164 zenon_H19e zenon_H222. % 23.54/23.77 apply (zenon_or_s _ _ zenon_H1d3); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H1d0 ]. % 23.54/23.77 apply (zenon_L233_); trivial. % 23.54/23.77 apply (zenon_L241_); trivial. % 23.54/23.77 (* end of lemma zenon_L242_ *) % 23.54/23.77 assert (zenon_L243_ : ((~((op2 (e22) (e22)) = (e20)))\/((op2 (e22) (e20)) = (e22))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e11) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e11) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e11) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e12) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e12) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e12) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e13) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e13) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e13) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))\/(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))))))))))))))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10))) -> ((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12))) -> ((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12))) -> ((h4 (e11)) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> ((h4 (e10)) = (op2 (e23) (e23))) -> (~((h4 (op1 (e11) (e11))) = (op2 (h4 (e11)) (h4 (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((e11) = (op1 (op1 (op1 (e13) (e13)) (e13)) (e13))) -> ((e12) = (op1 (op1 (e13) (e13)) (e13))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((e11) = (e12))) -> (~((e10) = (e11))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> ((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12))) -> ((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> ((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))) -> ((e10) = (op1 (e13) (e13))) -> (~((op2 (e22) (e21)) = (e22))) -> ((~((op2 (e22) (e22)) = (e21)))\/((op2 (e22) (e21)) = (e22))) -> ((~((op2 (e22) (e22)) = (e23)))\/((op2 (e22) (e23)) = (e22))) -> ((e20) = (op2 (e23) (e23))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((e21) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> ((e22) = (op2 (op2 (e23) (e23)) (e23))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> ((~((op2 (e21) (e21)) = (e20)))\/((op2 (e21) (e20)) = (e21))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((e21) = (e22))) -> (~((op2 (e21) (e21)) = (e21))) -> (~((e20) = (e21))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> ((op2 (e20) (e20)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((~((op2 (e21) (e21)) = (e22)))\/((op2 (e21) (e22)) = (e21))) -> ((~((op2 (e22) (e22)) = (e22)))\/((op2 (e22) (e22)) = (e22))) -> False). % 23.54/23.77 do 0 intro. intros zenon_H1d3 zenon_H1cb zenon_H135 zenon_H132 zenon_H12c zenon_H12f zenon_H121 zenon_H101 zenon_H107 zenon_H11d zenon_Hf3 zenon_Hf9 zenon_Hfe zenon_H11a zenon_H112 zenon_H10f zenon_Heb zenon_He7 zenon_Hdb zenon_Hc9 zenon_Hb8 zenon_Hd1 zenon_Hce zenon_H238 zenon_H3b zenon_H2a5 zenon_Hcf zenon_Hc8 zenon_Ha6 zenon_Hbc zenon_H87 zenon_H4d zenon_Hc0 zenon_H9d zenon_H9a zenon_H8f zenon_H8b zenon_H7b zenon_H75 zenon_H6f zenon_H68 zenon_H80 zenon_H86 zenon_H95 zenon_H62 zenon_H94 zenon_H120 zenon_H9e zenon_H5c zenon_H4c zenon_H53 zenon_H5a zenon_Hb1 zenon_Hb4 zenon_H27 zenon_H28 zenon_H28f zenon_H1d4 zenon_H1ca zenon_H14 zenon_H1a8 zenon_H1be zenon_H189 zenon_H14e zenon_H1c2 zenon_H19f zenon_H19b zenon_H191 zenon_H18d zenon_H17d zenon_H177 zenon_H171 zenon_H16a zenon_H193 zenon_H182 zenon_H188 zenon_H194 zenon_H1a zenon_H164 zenon_H19e zenon_H222. % 23.54/23.77 apply (zenon_or_s _ _ zenon_H1d3); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H1d0 ]. % 23.54/23.77 apply (zenon_L233_); trivial. % 23.54/23.77 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1d1 ]. % 23.54/23.77 apply (zenon_L241_); trivial. % 23.54/23.77 exact (zenon_H28f zenon_H1d1). % 23.54/23.77 (* end of lemma zenon_L243_ *) % 23.54/23.77 assert (zenon_L244_ : ((~((op2 (e22) (e22)) = (e21)))\/(~((op2 (e22) (e21)) = (e22)))) -> ((~((op2 (e22) (e22)) = (e21)))\/((op2 (e22) (e21)) = (e22))) -> ((~((op2 (e22) (e22)) = (e20)))\/((op2 (e22) (e20)) = (e22))) -> ((e10) = (op1 (e13) (e13))) -> ((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> ((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10))) -> ((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((e10) = (e11))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((e12) = (op1 (op1 (e13) (e13)) (e13))) -> ((e11) = (op1 (op1 (op1 (e13) (e13)) (e13)) (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((h4 (op1 (e11) (e11))) = (op2 (h4 (e11)) (h4 (e11))))) -> ((h4 (e10)) = (op2 (e23) (e23))) -> ((h4 (e11)) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> ((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12))) -> ((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12))) -> ((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> ((((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e11) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e11) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e11) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e12) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e12) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e12) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e13) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e13) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e13) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))\/(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))))))))))))))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((~((op2 (e22) (e22)) = (e23)))\/((op2 (e22) (e23)) = (e22))) -> ((e20) = (op2 (e23) (e23))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((e21) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> ((e22) = (op2 (op2 (e23) (e23)) (e23))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> ((~((op2 (e21) (e21)) = (e20)))\/((op2 (e21) (e20)) = (e21))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((e21) = (e22))) -> (~((op2 (e21) (e21)) = (e21))) -> (~((e20) = (e21))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((~((op2 (e21) (e21)) = (e22)))\/((op2 (e21) (e22)) = (e21))) -> ((~((op2 (e22) (e22)) = (e22)))\/((op2 (e22) (e22)) = (e22))) -> ((~((op2 (e20) (e20)) = (e20)))\/((op2 (e20) (e20)) = (e20))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e20)) = (e22))\/((op2 (e20) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (e21))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((~((op2 (e20) (e20)) = (e23)))\/((op2 (e20) (e23)) = (e20))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> False). % 23.54/23.77 do 0 intro. intros zenon_H290 zenon_H1d4 zenon_H1d3 zenon_H28 zenon_H27 zenon_Hb4 zenon_Hb1 zenon_H5a zenon_H53 zenon_H4c zenon_H5c zenon_H9e zenon_H120 zenon_H94 zenon_H62 zenon_H95 zenon_H86 zenon_H80 zenon_H68 zenon_H6f zenon_H75 zenon_H7b zenon_H8b zenon_H8f zenon_H9a zenon_H9d zenon_Hc0 zenon_H4d zenon_H87 zenon_Hbc zenon_Ha6 zenon_Hc8 zenon_Hcf zenon_H2a5 zenon_H3b zenon_H238 zenon_Hce zenon_Hd1 zenon_Hb8 zenon_Hc9 zenon_Hdb zenon_He7 zenon_Heb zenon_H10f zenon_H112 zenon_H11a zenon_Hfe zenon_Hf9 zenon_Hf3 zenon_H11d zenon_H107 zenon_H101 zenon_H121 zenon_H12f zenon_H12c zenon_H132 zenon_H135 zenon_H1cb zenon_H1ca zenon_H14 zenon_H1a8 zenon_H1be zenon_H189 zenon_H14e zenon_H1c2 zenon_H19f zenon_H19b zenon_H191 zenon_H18d zenon_H17d zenon_H177 zenon_H171 zenon_H16a zenon_H193 zenon_H182 zenon_H188 zenon_H194 zenon_H164 zenon_H19e zenon_H222 zenon_H1a0 zenon_H15e zenon_H14d zenon_H15d zenon_H154 zenon_H15b zenon_H1b3 zenon_H1b6. % 23.54/23.77 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H28f ]. % 23.54/23.77 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H1a | zenon_intro zenon_H1b7 ]. % 23.54/23.77 apply (zenon_L242_); trivial. % 23.54/23.77 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H19a | zenon_intro zenon_H1b8 ]. % 23.54/23.77 exact (zenon_H193 zenon_H19a). % 23.54/23.77 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H16f | zenon_intro zenon_H1a2 ]. % 23.54/23.77 apply (zenon_L114_); trivial. % 23.54/23.77 apply (zenon_L118_); trivial. % 23.54/23.77 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H1a | zenon_intro zenon_H1b7 ]. % 23.54/23.77 apply (zenon_L243_); trivial. % 23.54/23.77 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H19a | zenon_intro zenon_H1b8 ]. % 23.54/23.77 exact (zenon_H193 zenon_H19a). % 23.54/23.77 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H16f | zenon_intro zenon_H1a2 ]. % 23.54/23.77 apply (zenon_L114_); trivial. % 23.54/23.77 apply (zenon_L118_); trivial. % 23.54/23.77 (* end of lemma zenon_L244_ *) % 23.54/23.77 assert (zenon_L245_ : ((~((op2 (e22) (e22)) = (e21)))\/(~((op2 (e22) (e21)) = (e22)))) -> ((~((op2 (e22) (e22)) = (e21)))\/((op2 (e22) (e21)) = (e22))) -> ((~((op2 (e22) (e22)) = (e20)))\/((op2 (e22) (e20)) = (e22))) -> ((e10) = (op1 (e13) (e13))) -> ((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> ((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10))) -> ((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((e10) = (e11))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((e12) = (op1 (op1 (e13) (e13)) (e13))) -> ((e11) = (op1 (op1 (op1 (e13) (e13)) (e13)) (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((h4 (op1 (e11) (e11))) = (op2 (h4 (e11)) (h4 (e11))))) -> ((h4 (e10)) = (op2 (e23) (e23))) -> ((h4 (e11)) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> ((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12))) -> ((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12))) -> ((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> ((((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e11) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e11) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e11) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e12) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e12) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e12) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e13) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e13) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e13) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))\/(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))))))))))))))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((~((op2 (e22) (e22)) = (e23)))\/((op2 (e22) (e23)) = (e22))) -> ((e20) = (op2 (e23) (e23))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((e21) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> ((e22) = (op2 (op2 (e23) (e23)) (e23))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> ((~((op2 (e21) (e21)) = (e20)))\/((op2 (e21) (e20)) = (e21))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((e21) = (e22))) -> (~((op2 (e21) (e21)) = (e21))) -> (~((e20) = (e21))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((~((op2 (e21) (e21)) = (e22)))\/((op2 (e21) (e22)) = (e21))) -> ((~((op2 (e22) (e22)) = (e22)))\/((op2 (e22) (e22)) = (e22))) -> ((~((op2 (e20) (e20)) = (e20)))\/((op2 (e20) (e20)) = (e20))) -> ((~((op2 (e20) (e20)) = (e23)))\/((op2 (e20) (e23)) = (e20))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e20)) = (e22))\/((op2 (e20) (e20)) = (e23))))) -> (~((op2 (e20) (e21)) = (e20))) -> ((~((op2 (e20) (e20)) = (e21)))\/((op2 (e20) (e21)) = (e20))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> False). % 23.54/23.77 do 0 intro. intros zenon_H290 zenon_H1d4 zenon_H1d3 zenon_H28 zenon_H27 zenon_Hb4 zenon_Hb1 zenon_H5a zenon_H53 zenon_H4c zenon_H5c zenon_H9e zenon_H120 zenon_H94 zenon_H62 zenon_H95 zenon_H86 zenon_H80 zenon_H68 zenon_H6f zenon_H75 zenon_H7b zenon_H8b zenon_H8f zenon_H9a zenon_H9d zenon_Hc0 zenon_H4d zenon_H87 zenon_Hbc zenon_Ha6 zenon_Hc8 zenon_Hcf zenon_H2a5 zenon_H3b zenon_H238 zenon_Hce zenon_Hd1 zenon_Hb8 zenon_Hc9 zenon_Hdb zenon_He7 zenon_Heb zenon_H10f zenon_H112 zenon_H11a zenon_Hfe zenon_Hf9 zenon_Hf3 zenon_H11d zenon_H107 zenon_H101 zenon_H121 zenon_H12f zenon_H12c zenon_H132 zenon_H135 zenon_H1cb zenon_H1ca zenon_H14 zenon_H1a8 zenon_H1be zenon_H189 zenon_H14e zenon_H1c2 zenon_H19f zenon_H19b zenon_H191 zenon_H18d zenon_H17d zenon_H177 zenon_H171 zenon_H16a zenon_H193 zenon_H182 zenon_H188 zenon_H194 zenon_H164 zenon_H19e zenon_H222 zenon_H1a0 zenon_H15b zenon_H154 zenon_H14d zenon_H15e zenon_H1b9 zenon_H1ba zenon_H1b3 zenon_H1b6. % 23.54/23.77 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H28f ]. % 23.54/23.77 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H1a | zenon_intro zenon_H1b7 ]. % 23.54/23.77 apply (zenon_L242_); trivial. % 23.54/23.77 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H19a | zenon_intro zenon_H1b8 ]. % 23.54/23.77 exact (zenon_H193 zenon_H19a). % 23.54/23.77 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H16f | zenon_intro zenon_H1a2 ]. % 23.54/23.77 apply (zenon_L120_); trivial. % 23.54/23.77 apply (zenon_L118_); trivial. % 23.54/23.77 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H1a | zenon_intro zenon_H1b7 ]. % 23.54/23.77 apply (zenon_L243_); trivial. % 23.54/23.77 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H19a | zenon_intro zenon_H1b8 ]. % 23.54/23.77 exact (zenon_H193 zenon_H19a). % 23.54/23.77 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H16f | zenon_intro zenon_H1a2 ]. % 23.54/23.77 apply (zenon_L120_); trivial. % 23.54/23.77 apply (zenon_L118_); trivial. % 23.54/23.77 (* end of lemma zenon_L245_ *) % 23.54/23.77 assert (zenon_L246_ : ((~((op2 (e20) (e20)) = (e21)))\/(~((op2 (e20) (e21)) = (e20)))) -> ((~((op2 (e20) (e20)) = (e21)))\/((op2 (e20) (e21)) = (e20))) -> ((~((op2 (e22) (e22)) = (e21)))\/(~((op2 (e22) (e21)) = (e22)))) -> ((~((op2 (e22) (e22)) = (e21)))\/((op2 (e22) (e21)) = (e22))) -> ((~((op2 (e22) (e22)) = (e20)))\/((op2 (e22) (e20)) = (e22))) -> ((e10) = (op1 (e13) (e13))) -> ((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> ((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10))) -> ((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((e10) = (e11))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((e12) = (op1 (op1 (e13) (e13)) (e13))) -> ((e11) = (op1 (op1 (op1 (e13) (e13)) (e13)) (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((h4 (op1 (e11) (e11))) = (op2 (h4 (e11)) (h4 (e11))))) -> ((h4 (e10)) = (op2 (e23) (e23))) -> ((h4 (e11)) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> ((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12))) -> ((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12))) -> ((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> ((((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e11) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e11) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e11) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e12) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e12) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e12) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e13) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e13) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e13) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))\/(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))))))))))))))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((~((op2 (e22) (e22)) = (e23)))\/((op2 (e22) (e23)) = (e22))) -> ((e20) = (op2 (e23) (e23))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((e21) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> ((e22) = (op2 (op2 (e23) (e23)) (e23))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> ((~((op2 (e21) (e21)) = (e20)))\/((op2 (e21) (e20)) = (e21))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((e21) = (e22))) -> (~((e20) = (e21))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((~((op2 (e21) (e21)) = (e22)))\/((op2 (e21) (e22)) = (e21))) -> ((~((op2 (e22) (e22)) = (e22)))\/((op2 (e22) (e22)) = (e22))) -> ((~((op2 (e20) (e20)) = (e20)))\/((op2 (e20) (e20)) = (e20))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e20)) = (e22))\/((op2 (e20) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((~((op2 (e20) (e20)) = (e23)))\/((op2 (e20) (e23)) = (e20))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> ((~((op2 (e21) (e21)) = (e21)))\/(~((op2 (e21) (e21)) = (e21)))) -> False). % 23.54/23.77 do 0 intro. intros zenon_H1bc zenon_H1ba zenon_H290 zenon_H1d4 zenon_H1d3 zenon_H28 zenon_H27 zenon_Hb4 zenon_Hb1 zenon_H5a zenon_H53 zenon_H4c zenon_H5c zenon_H9e zenon_H120 zenon_H94 zenon_H62 zenon_H95 zenon_H86 zenon_H80 zenon_H68 zenon_H6f zenon_H75 zenon_H7b zenon_H8b zenon_H8f zenon_H9a zenon_H9d zenon_Hc0 zenon_H4d zenon_H87 zenon_Hbc zenon_Ha6 zenon_Hc8 zenon_Hcf zenon_H2a5 zenon_H3b zenon_H238 zenon_Hce zenon_Hd1 zenon_Hb8 zenon_Hc9 zenon_Hdb zenon_He7 zenon_Heb zenon_H10f zenon_H112 zenon_H11a zenon_Hfe zenon_Hf9 zenon_Hf3 zenon_H11d zenon_H107 zenon_H101 zenon_H121 zenon_H12f zenon_H12c zenon_H132 zenon_H135 zenon_H1cb zenon_H1ca zenon_H14 zenon_H1a8 zenon_H1be zenon_H189 zenon_H14e zenon_H1c2 zenon_H19f zenon_H19b zenon_H191 zenon_H18d zenon_H17d zenon_H177 zenon_H171 zenon_H16a zenon_H182 zenon_H188 zenon_H194 zenon_H164 zenon_H19e zenon_H222 zenon_H1a0 zenon_H15e zenon_H14d zenon_H154 zenon_H15b zenon_H1b3 zenon_H1b6 zenon_H1bd. % 23.54/23.77 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H15d | zenon_intro zenon_H1b9 ]. % 23.54/23.77 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H193 | zenon_intro zenon_H193 ]. % 23.54/23.77 apply (zenon_L244_); trivial. % 23.54/23.77 apply (zenon_L244_); trivial. % 23.54/23.77 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H193 | zenon_intro zenon_H193 ]. % 23.54/23.77 apply (zenon_L245_); trivial. % 23.54/23.77 apply (zenon_L245_); trivial. % 23.54/23.77 (* end of lemma zenon_L246_ *) % 23.54/23.77 assert (zenon_L247_ : ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((e21) = (e22))) -> ((op2 (e21) (e20)) = (e21)) -> (~((op2 (e21) (e21)) = (e22))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> ((e10) = (op1 (e13) (e13))) -> ((e12) = (op1 (op1 (e13) (e13)) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((h4 (e11)) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> ((e21) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> ((h4 (e12)) = (op2 (op2 (e23) (e23)) (e23))) -> ((e22) = (op2 (op2 (e23) (e23)) (e23))) -> (~((h4 (op1 (e11) (e12))) = (op2 (h4 (e11)) (h4 (e12))))) -> ((op1 (e11) (e10)) = (e11)) -> (~((e11) = (e12))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((e20) = (op2 (e23) (e23))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> False). % 23.54/23.77 do 0 intro. intros zenon_H94 zenon_H9a zenon_H16a zenon_H168 zenon_H17e zenon_H7b zenon_H28 zenon_H4d zenon_H75 zenon_H238 zenon_H189 zenon_H26a zenon_H14e zenon_H2b0 zenon_H66 zenon_H68 zenon_H177 zenon_H14 zenon_H17d. % 23.54/23.77 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H7c | zenon_intro zenon_H81 ]. % 23.54/23.77 apply (zenon_or_s _ _ zenon_H17d); [ zenon_intro zenon_H169 | zenon_intro zenon_H17f ]. % 23.54/23.77 apply (zenon_L101_); trivial. % 23.54/23.77 apply (zenon_or_s _ _ zenon_H17f); [ zenon_intro zenon_H181 | zenon_intro zenon_H180 ]. % 23.54/23.77 exact (zenon_H17e zenon_H181). % 23.54/23.77 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_H170 | zenon_intro zenon_H176 ]. % 23.54/23.77 apply (zenon_or_s _ _ zenon_H7b); [ zenon_intro zenon_H67 | zenon_intro zenon_H7d ]. % 23.54/23.77 apply (zenon_L20_); trivial. % 23.54/23.77 apply (zenon_or_s _ _ zenon_H7d); [ zenon_intro zenon_H7f | zenon_intro zenon_H7e ]. % 23.54/23.77 exact (zenon_H7c zenon_H7f). % 23.54/23.77 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H6e | zenon_intro zenon_H74 ]. % 23.54/23.77 cut (((h4 (e12)) = (op2 (op2 (e23) (e23)) (e23))) = ((h4 (op1 (e11) (e12))) = (op2 (h4 (e11)) (h4 (e12))))). % 23.54/23.77 intro zenon_D_pnotp. % 23.54/23.77 apply zenon_H2b0. % 23.54/23.77 rewrite <- zenon_D_pnotp. % 23.54/23.77 exact zenon_H26a. % 23.54/23.77 cut (((op2 (op2 (e23) (e23)) (e23)) = (op2 (h4 (e11)) (h4 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H2b1]. % 23.54/23.77 cut (((h4 (e12)) = (h4 (op1 (e11) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H2b2]. % 23.54/23.77 congruence. % 23.54/23.77 elim (classic ((h4 (op1 (e11) (e12))) = (h4 (op1 (e11) (e12))))); [ zenon_intro zenon_H2b3 | zenon_intro zenon_H2b4 ]. % 23.54/23.77 cut (((h4 (op1 (e11) (e12))) = (h4 (op1 (e11) (e12)))) = ((h4 (e12)) = (h4 (op1 (e11) (e12))))). % 23.54/23.77 intro zenon_D_pnotp. % 23.54/23.77 apply zenon_H2b2. % 23.54/23.77 rewrite <- zenon_D_pnotp. % 23.54/23.77 exact zenon_H2b3. % 23.54/23.77 cut (((h4 (op1 (e11) (e12))) = (h4 (op1 (e11) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H2b4]. % 23.54/23.77 cut (((h4 (op1 (e11) (e12))) = (h4 (e12)))); [idtac | apply NNPP; zenon_intro zenon_H2b5]. % 23.54/23.77 congruence. % 23.54/23.77 cut (((op1 (e11) (e12)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H2b6]. % 23.54/23.77 congruence. % 23.54/23.77 exact (zenon_H2b6 zenon_H6e). % 23.54/23.77 apply zenon_H2b4. apply refl_equal. % 23.54/23.77 apply zenon_H2b4. apply refl_equal. % 23.54/23.77 elim (classic ((op2 (h4 (e11)) (h4 (e12))) = (op2 (h4 (e11)) (h4 (e12))))); [ zenon_intro zenon_H2b7 | zenon_intro zenon_H2b8 ]. % 23.54/23.77 cut (((op2 (h4 (e11)) (h4 (e12))) = (op2 (h4 (e11)) (h4 (e12)))) = ((op2 (op2 (e23) (e23)) (e23)) = (op2 (h4 (e11)) (h4 (e12))))). % 23.54/23.77 intro zenon_D_pnotp. % 23.54/23.77 apply zenon_H2b1. % 23.54/23.77 rewrite <- zenon_D_pnotp. % 23.54/23.77 exact zenon_H2b7. % 23.54/23.77 cut (((op2 (h4 (e11)) (h4 (e12))) = (op2 (h4 (e11)) (h4 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H2b8]. % 23.54/23.77 cut (((op2 (h4 (e11)) (h4 (e12))) = (op2 (op2 (e23) (e23)) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H2b9]. % 23.54/23.77 congruence. % 23.54/23.77 cut (((op2 (e21) (e22)) = (e22)) = ((op2 (h4 (e11)) (h4 (e12))) = (op2 (op2 (e23) (e23)) (e23)))). % 23.54/23.77 intro zenon_D_pnotp. % 23.54/23.77 apply zenon_H2b9. % 23.54/23.77 rewrite <- zenon_D_pnotp. % 23.54/23.77 exact zenon_H170. % 23.54/23.77 cut (((e22) = (op2 (op2 (e23) (e23)) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H2ba]. % 23.54/23.77 cut (((op2 (e21) (e22)) = (op2 (h4 (e11)) (h4 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H2bb]. % 23.54/23.77 congruence. % 23.54/23.77 elim (classic ((op2 (h4 (e11)) (h4 (e12))) = (op2 (h4 (e11)) (h4 (e12))))); [ zenon_intro zenon_H2b7 | zenon_intro zenon_H2b8 ]. % 23.54/23.77 cut (((op2 (h4 (e11)) (h4 (e12))) = (op2 (h4 (e11)) (h4 (e12)))) = ((op2 (e21) (e22)) = (op2 (h4 (e11)) (h4 (e12))))). % 23.54/23.77 intro zenon_D_pnotp. % 23.54/23.77 apply zenon_H2bb. % 23.54/23.77 rewrite <- zenon_D_pnotp. % 23.54/23.77 exact zenon_H2b7. % 23.54/23.77 cut (((op2 (h4 (e11)) (h4 (e12))) = (op2 (h4 (e11)) (h4 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H2b8]. % 23.54/23.77 cut (((op2 (h4 (e11)) (h4 (e12))) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H2bc]. % 23.54/23.77 congruence. % 23.54/23.77 cut (((h4 (e12)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H269]. % 23.54/23.77 cut (((h4 (e11)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H237]. % 23.54/23.77 congruence. % 23.54/23.77 apply (zenon_L175_); trivial. % 23.54/23.77 apply (zenon_L201_); trivial. % 23.54/23.77 apply zenon_H2b8. apply refl_equal. % 23.54/23.77 apply zenon_H2b8. apply refl_equal. % 23.54/23.77 exact (zenon_H2ba zenon_H14e). % 23.54/23.77 apply zenon_H2b8. apply refl_equal. % 23.54/23.77 apply zenon_H2b8. apply refl_equal. % 23.54/23.77 apply (zenon_L22_); trivial. % 23.54/23.77 apply (zenon_L103_); trivial. % 23.54/23.77 apply (zenon_L30_); trivial. % 23.54/23.77 (* end of lemma zenon_L247_ *) % 23.54/23.77 assert (zenon_L248_ : ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> ((e20) = (op2 (e23) (e23))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((h4 (op1 (e11) (e12))) = (op2 (h4 (e11)) (h4 (e12))))) -> ((e22) = (op2 (op2 (e23) (e23)) (e23))) -> ((h4 (e12)) = (op2 (op2 (e23) (e23)) (e23))) -> ((e21) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> ((h4 (e11)) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> (~((op2 (e21) (e21)) = (e22))) -> ((op2 (e21) (e20)) = (e21)) -> (~((e21) = (e22))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12))) -> ((e12) = (op1 (op1 (e13) (e13)) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((op1 (e10) (e10)) = (e10)) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (e11))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((e10) = (op1 (e13) (e13))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((e11) = (op1 (op1 (op1 (e13) (e13)) (e13)) (e13))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((e10) = (e11))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> ((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12))) -> False). % 23.54/23.77 do 0 intro. intros zenon_H9d zenon_H17d zenon_H14 zenon_H177 zenon_H2b0 zenon_H14e zenon_H26a zenon_H189 zenon_H238 zenon_H17e zenon_H168 zenon_H16a zenon_H9a zenon_Hc8 zenon_H4d zenon_Ha6 zenon_H62 zenon_H2e zenon_Hc0 zenon_Hbf zenon_H6f zenon_H8b zenon_H28 zenon_H8f zenon_H94 zenon_H95 zenon_H87 zenon_H86 zenon_H80 zenon_H96 zenon_H68 zenon_H75 zenon_H7b zenon_H120. % 23.54/23.77 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H90 | zenon_intro zenon_H66 ]. % 23.54/23.77 apply (zenon_L195_); trivial. % 23.54/23.77 apply (zenon_L247_); trivial. % 23.54/23.77 (* end of lemma zenon_L248_ *) % 23.54/23.77 assert (zenon_L249_ : ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> ((e20) = (op2 (e23) (e23))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((h4 (op1 (e11) (e12))) = (op2 (h4 (e11)) (h4 (e12))))) -> ((e22) = (op2 (op2 (e23) (e23)) (e23))) -> ((h4 (e12)) = (op2 (op2 (e23) (e23)) (e23))) -> ((e21) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> ((h4 (e11)) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> (~((op2 (e21) (e21)) = (e22))) -> ((op2 (e21) (e20)) = (e21)) -> (~((e21) = (e22))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((e10) = (e11))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((e11) = (op1 (op1 (op1 (e13) (e13)) (e13)) (e13))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> ((e10) = (op1 (e13) (e13))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (e13)) (e13))) -> ((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12))) -> (~((op1 (e12) (e11)) = (e12))) -> ((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12))) -> False). % 23.54/23.77 do 0 intro. intros zenon_H9d zenon_H17d zenon_H14 zenon_H177 zenon_H2b0 zenon_H14e zenon_H26a zenon_H189 zenon_H238 zenon_H17e zenon_H168 zenon_H16a zenon_H9a zenon_H120 zenon_H7b zenon_H75 zenon_H68 zenon_H96 zenon_H80 zenon_H86 zenon_H87 zenon_H95 zenon_H94 zenon_H8f zenon_H28 zenon_H8b zenon_H6f zenon_Hc0 zenon_H2e zenon_H62 zenon_Ha6 zenon_H4d zenon_Hc8 zenon_H28b zenon_Hd1. % 23.54/23.77 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H90 | zenon_intro zenon_H66 ]. % 23.54/23.77 apply (zenon_L208_); trivial. % 23.54/23.77 apply (zenon_L247_); trivial. % 23.54/23.77 (* end of lemma zenon_L249_ *) % 23.54/23.77 assert (zenon_L250_ : ((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12)))) -> ((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12))) -> ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> ((e20) = (op2 (e23) (e23))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((h4 (op1 (e11) (e12))) = (op2 (h4 (e11)) (h4 (e12))))) -> ((e22) = (op2 (op2 (e23) (e23)) (e23))) -> ((h4 (e12)) = (op2 (op2 (e23) (e23)) (e23))) -> ((e21) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> ((h4 (e11)) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> (~((op2 (e21) (e21)) = (e22))) -> ((op2 (e21) (e20)) = (e21)) -> (~((e21) = (e22))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12))) -> ((e12) = (op1 (op1 (e13) (e13)) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((e10) = (op1 (e13) (e13))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((e11) = (op1 (op1 (op1 (e13) (e13)) (e13)) (e13))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((e10) = (e11))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> ((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12))) -> ((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (e11))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> False). % 23.54/23.77 do 0 intro. intros zenon_H28c zenon_Hd1 zenon_H9d zenon_H17d zenon_H14 zenon_H177 zenon_H2b0 zenon_H14e zenon_H26a zenon_H189 zenon_H238 zenon_H17e zenon_H168 zenon_H16a zenon_H9a zenon_Hc8 zenon_H4d zenon_Ha6 zenon_H62 zenon_Hc0 zenon_H6f zenon_H8b zenon_H28 zenon_H8f zenon_H94 zenon_H95 zenon_H87 zenon_H86 zenon_H80 zenon_H96 zenon_H68 zenon_H75 zenon_H7b zenon_H120 zenon_H9e zenon_H5c zenon_H4c zenon_H5b zenon_H53 zenon_H5a zenon_Hb1 zenon_Hb4. % 23.54/23.77 apply (zenon_or_s _ _ zenon_H28c); [ zenon_intro zenon_Hbf | zenon_intro zenon_H28b ]. % 23.54/23.77 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H2e | zenon_intro zenon_Hb5 ]. % 23.54/23.77 apply (zenon_L248_); trivial. % 23.54/23.77 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_H99 | zenon_intro zenon_Hb6 ]. % 23.54/23.77 exact (zenon_H96 zenon_H99). % 23.54/23.77 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_H6d | zenon_intro zenon_Ha0 ]. % 23.54/23.77 apply (zenon_L33_); trivial. % 23.54/23.77 apply (zenon_L37_); trivial. % 23.54/23.77 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H2e | zenon_intro zenon_Hb5 ]. % 23.54/23.77 apply (zenon_L249_); trivial. % 23.54/23.77 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_H99 | zenon_intro zenon_Hb6 ]. % 23.54/23.77 exact (zenon_H96 zenon_H99). % 23.54/23.77 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_H6d | zenon_intro zenon_Ha0 ]. % 23.54/23.77 apply (zenon_L33_); trivial. % 23.54/23.77 apply (zenon_L37_); trivial. % 23.54/23.77 (* end of lemma zenon_L250_ *) % 23.54/23.77 assert (zenon_L251_ : ((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12)))) -> ((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12))) -> ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> ((e20) = (op2 (e23) (e23))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((h4 (op1 (e11) (e12))) = (op2 (h4 (e11)) (h4 (e12))))) -> ((e22) = (op2 (op2 (e23) (e23)) (e23))) -> ((h4 (e12)) = (op2 (op2 (e23) (e23)) (e23))) -> ((e21) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> ((h4 (e11)) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> (~((op2 (e21) (e21)) = (e22))) -> ((op2 (e21) (e20)) = (e21)) -> (~((e21) = (e22))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12))) -> ((e12) = (op1 (op1 (e13) (e13)) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((e10) = (op1 (e13) (e13))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((e11) = (op1 (op1 (op1 (e13) (e13)) (e13)) (e13))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((e10) = (e11))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> ((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12))) -> ((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10))) -> ((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e10) (e11)) = (e10))) -> ((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> False). % 23.54/23.77 do 0 intro. intros zenon_H28c zenon_Hd1 zenon_H9d zenon_H17d zenon_H14 zenon_H177 zenon_H2b0 zenon_H14e zenon_H26a zenon_H189 zenon_H238 zenon_H17e zenon_H168 zenon_H16a zenon_H9a zenon_Hc8 zenon_H4d zenon_Ha6 zenon_H62 zenon_Hc0 zenon_H6f zenon_H8b zenon_H28 zenon_H8f zenon_H94 zenon_H95 zenon_H87 zenon_H86 zenon_H80 zenon_H96 zenon_H68 zenon_H75 zenon_H7b zenon_H120 zenon_H9e zenon_H5a zenon_H53 zenon_H4c zenon_H5c zenon_Hb7 zenon_Hb8 zenon_Hb1 zenon_Hb4. % 23.54/23.77 apply (zenon_or_s _ _ zenon_H28c); [ zenon_intro zenon_Hbf | zenon_intro zenon_H28b ]. % 23.54/23.77 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H2e | zenon_intro zenon_Hb5 ]. % 23.54/23.77 apply (zenon_L248_); trivial. % 23.54/23.77 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_H99 | zenon_intro zenon_Hb6 ]. % 23.54/23.77 exact (zenon_H96 zenon_H99). % 23.54/23.77 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_H6d | zenon_intro zenon_Ha0 ]. % 23.54/23.77 apply (zenon_L39_); trivial. % 23.54/23.77 apply (zenon_L37_); trivial. % 23.54/23.77 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H2e | zenon_intro zenon_Hb5 ]. % 23.54/23.77 apply (zenon_L249_); trivial. % 23.54/23.77 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_H99 | zenon_intro zenon_Hb6 ]. % 23.54/23.77 exact (zenon_H96 zenon_H99). % 23.54/23.77 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_H6d | zenon_intro zenon_Ha0 ]. % 23.54/23.77 apply (zenon_L39_); trivial. % 23.54/23.77 apply (zenon_L37_); trivial. % 23.54/23.77 (* end of lemma zenon_L251_ *) % 23.54/23.77 assert (zenon_L252_ : ((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10)))) -> ((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10))) -> ((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12)))) -> ((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12))) -> ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> ((e20) = (op2 (e23) (e23))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((h4 (op1 (e11) (e12))) = (op2 (h4 (e11)) (h4 (e12))))) -> ((e22) = (op2 (op2 (e23) (e23)) (e23))) -> ((h4 (e12)) = (op2 (op2 (e23) (e23)) (e23))) -> ((e21) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> ((h4 (e11)) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> (~((op2 (e21) (e21)) = (e22))) -> ((op2 (e21) (e20)) = (e21)) -> (~((e21) = (e22))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12))) -> ((e12) = (op1 (op1 (e13) (e13)) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((e10) = (op1 (e13) (e13))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((e11) = (op1 (op1 (op1 (e13) (e13)) (e13)) (e13))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((e10) = (e11))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> ((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12))) -> ((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11)))) -> False). % 23.54/23.77 do 0 intro. intros zenon_Hba zenon_Hb8 zenon_H28c zenon_Hd1 zenon_H9d zenon_H17d zenon_H14 zenon_H177 zenon_H2b0 zenon_H14e zenon_H26a zenon_H189 zenon_H238 zenon_H17e zenon_H168 zenon_H16a zenon_H9a zenon_Hc8 zenon_H4d zenon_Ha6 zenon_H62 zenon_Hc0 zenon_H6f zenon_H8b zenon_H28 zenon_H8f zenon_H94 zenon_H95 zenon_H87 zenon_H86 zenon_H80 zenon_H68 zenon_H75 zenon_H7b zenon_H120 zenon_H9e zenon_H5c zenon_H4c zenon_H53 zenon_H5a zenon_Hb1 zenon_Hb4 zenon_Hbb. % 23.54/23.77 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H5b | zenon_intro zenon_Hb7 ]. % 23.54/23.77 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H96 | zenon_intro zenon_H96 ]. % 23.54/23.77 apply (zenon_L250_); trivial. % 23.54/23.77 apply (zenon_L250_); trivial. % 23.54/23.77 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H96 | zenon_intro zenon_H96 ]. % 23.54/23.77 apply (zenon_L251_); trivial. % 23.54/23.77 apply (zenon_L251_); trivial. % 23.54/23.77 (* end of lemma zenon_L252_ *) % 23.54/23.77 assert (zenon_L253_ : ((~((op2 (e21) (e21)) = (e22)))\/((op2 (e21) (e22)) = (e21))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((e10) = (op1 (e13) (e13))) -> ((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> ((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10))) -> ((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((e11) = (e12))) -> (~((e10) = (e11))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((e11) = (op1 (op1 (op1 (e13) (e13)) (e13)) (e13))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (e13)) (e13))) -> ((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((e21) = (e22))) -> ((op2 (e21) (e20)) = (e21)) -> ((h4 (e11)) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> ((e21) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> ((h4 (e12)) = (op2 (op2 (e23) (e23)) (e23))) -> ((e22) = (op2 (op2 (e23) (e23)) (e23))) -> (~((h4 (op1 (e11) (e12))) = (op2 (h4 (e11)) (h4 (e12))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((e20) = (op2 (e23) (e23))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> ((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12))) -> ((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10))) -> ((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> ((((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e11) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e11) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e11) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e12) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e12) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e12) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e13) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e13) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e13) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))\/(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))))))))))))))))) -> False). % 23.54/23.77 do 0 intro. intros zenon_H19e zenon_H19b zenon_H28 zenon_H27 zenon_Hb4 zenon_Hb1 zenon_H5a zenon_H53 zenon_H4c zenon_H5c zenon_H9e zenon_H120 zenon_H7b zenon_H75 zenon_H68 zenon_H80 zenon_H86 zenon_H87 zenon_H95 zenon_H94 zenon_H8f zenon_H8b zenon_H6f zenon_Hc0 zenon_H62 zenon_Ha6 zenon_H4d zenon_Hc8 zenon_H9a zenon_H16a zenon_H168 zenon_H238 zenon_H189 zenon_H26a zenon_H14e zenon_H2b0 zenon_H177 zenon_H14 zenon_H17d zenon_H9d zenon_Hd1 zenon_Hb8 zenon_Hce zenon_Hcf zenon_Hc9 zenon_Hbc zenon_Hdb zenon_He7 zenon_Heb zenon_H10f zenon_H112 zenon_H11a zenon_Hfe zenon_Hf9 zenon_Hf3 zenon_H11d zenon_H107 zenon_H101 zenon_H121 zenon_H12f zenon_H12c zenon_H132 zenon_H135. % 23.54/23.77 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H17e | zenon_intro zenon_H183 ]. % 23.54/23.77 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H2c | zenon_intro zenon_H136 ]. % 23.54/23.77 apply (zenon_L7_); trivial. % 23.54/23.77 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H34 | zenon_intro zenon_H137 ]. % 23.54/23.77 apply (zenon_L8_); trivial. % 23.54/23.77 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H36 | zenon_intro zenon_H138 ]. % 23.54/23.77 apply (zenon_L9_); trivial. % 23.54/23.77 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H38 | zenon_intro zenon_H139 ]. % 23.54/23.77 apply (zenon_L10_); trivial. % 23.54/23.77 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H13b | zenon_intro zenon_H13a ]. % 23.54/23.77 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_H63. zenon_intro zenon_H13c. % 23.54/23.77 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_Hba. zenon_intro zenon_H13d. % 23.54/23.77 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_Hbb. zenon_intro zenon_H13e. % 23.54/23.77 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_H28c. zenon_intro zenon_H28e. % 23.54/23.77 apply (zenon_L252_); trivial. % 23.54/23.77 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H140 | zenon_intro zenon_H13f ]. % 23.54/23.77 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H99. zenon_intro zenon_H13c. % 23.54/23.77 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_Hba. zenon_intro zenon_H13d. % 23.54/23.77 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_Hbb. zenon_intro zenon_H13e. % 23.54/23.77 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_H28c. zenon_intro zenon_H28e. % 23.54/23.77 apply (zenon_L252_); trivial. % 23.54/23.77 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H142 | zenon_intro zenon_H141 ]. % 23.54/23.77 apply (zenon_and_s _ _ zenon_H142). zenon_intro zenon_H6e. zenon_intro zenon_H13c. % 23.54/23.77 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_Hba. zenon_intro zenon_H13d. % 23.54/23.77 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_Hbb. zenon_intro zenon_H13e. % 23.54/23.77 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_H28c. zenon_intro zenon_H28e. % 23.54/23.77 apply (zenon_L252_); trivial. % 23.54/23.77 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H144 | zenon_intro zenon_H143 ]. % 23.54/23.77 apply (zenon_and_s _ _ zenon_H144). zenon_intro zenon_He4. zenon_intro zenon_H13c. % 23.54/23.77 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_Hba. zenon_intro zenon_H13d. % 23.54/23.77 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_Hbb. zenon_intro zenon_H13e. % 23.54/23.77 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_H28c. zenon_intro zenon_H28e. % 23.54/23.77 apply (zenon_L252_); trivial. % 23.54/23.77 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H145 ]. % 23.54/23.77 apply (zenon_L47_); trivial. % 23.54/23.77 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_He1 | zenon_intro zenon_H146 ]. % 23.54/23.77 apply (zenon_L49_); trivial. % 23.54/23.77 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_He2 | zenon_intro zenon_H147 ]. % 23.54/23.77 apply (zenon_L50_); trivial. % 23.54/23.77 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_Hea | zenon_intro zenon_H148 ]. % 23.54/23.77 apply (zenon_L53_); trivial. % 23.54/23.77 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H149 ]. % 23.54/23.77 apply (zenon_L55_); trivial. % 23.54/23.77 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H124 | zenon_intro zenon_H14a ]. % 23.54/23.77 apply (zenon_L78_); trivial. % 23.54/23.77 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_H133 | zenon_intro zenon_H134 ]. % 23.54/23.77 apply (zenon_L91_); trivial. % 23.54/23.77 apply (zenon_L92_); trivial. % 23.54/23.77 apply (zenon_L111_); trivial. % 23.54/23.77 (* end of lemma zenon_L253_ *) % 23.54/23.77 assert (zenon_L254_ : ((~((op2 (e21) (e21)) = (e20)))\/((op2 (e21) (e20)) = (e21))) -> ((((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e11) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e11) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e11) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e12) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e12) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e12) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e13) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e13) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e13) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))\/(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))))))))))))))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12))) -> ((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10))) -> ((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12))) -> ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> (~((h4 (op1 (e11) (e12))) = (op2 (h4 (e11)) (h4 (e12))))) -> ((h4 (e12)) = (op2 (op2 (e23) (e23)) (e23))) -> ((h4 (e11)) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12))) -> ((e12) = (op1 (op1 (e13) (e13)) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((e11) = (op1 (op1 (op1 (e13) (e13)) (e13)) (e13))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((e10) = (e11))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> ((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12))) -> ((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> ((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))) -> ((e10) = (op1 (e13) (e13))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((~((op2 (e22) (e22)) = (e22)))\/((op2 (e22) (e22)) = (e22))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> ((e21) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((e20) = (e21))) -> (~((op2 (e21) (e21)) = (e21))) -> (~((e21) = (e22))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> ((e20) = (op2 (e23) (e23))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (e21))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> ((op2 (e20) (e20)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((e22) = (op2 (op2 (e23) (e23)) (e23))) -> ((~((op2 (e22) (e22)) = (e23)))\/((op2 (e22) (e23)) = (e22))) -> ((~((op2 (e21) (e21)) = (e22)))\/((op2 (e21) (e22)) = (e21))) -> False). % 23.54/23.77 do 0 intro. intros zenon_H19f zenon_H135 zenon_H132 zenon_H12c zenon_H12f zenon_H121 zenon_H101 zenon_H107 zenon_H11d zenon_Hf3 zenon_Hf9 zenon_Hfe zenon_H11a zenon_H112 zenon_H10f zenon_Heb zenon_He7 zenon_Hdb zenon_Hbc zenon_Hc9 zenon_Hcf zenon_Hce zenon_Hb8 zenon_Hd1 zenon_H9d zenon_H2b0 zenon_H26a zenon_H238 zenon_H9a zenon_Hc8 zenon_H4d zenon_Ha6 zenon_H62 zenon_Hc0 zenon_H6f zenon_H8b zenon_H8f zenon_H94 zenon_H95 zenon_H87 zenon_H86 zenon_H80 zenon_H68 zenon_H75 zenon_H7b zenon_H120 zenon_H9e zenon_H5c zenon_H4c zenon_H53 zenon_H5a zenon_Hb1 zenon_Hb4 zenon_H27 zenon_H28 zenon_H19b zenon_H222 zenon_H194 zenon_H189 zenon_H188 zenon_H182 zenon_H193 zenon_H16a zenon_H177 zenon_H17d zenon_H191 zenon_H14 zenon_H18d zenon_H171 zenon_H1c1 zenon_H1c2 zenon_H1a zenon_H164 zenon_H1a8 zenon_H14e zenon_H1ca zenon_H19e. % 23.54/23.77 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_H192 | zenon_intro zenon_H168 ]. % 23.54/23.77 apply (zenon_L193_); trivial. % 23.54/23.77 apply (zenon_L253_); trivial. % 23.54/23.77 (* end of lemma zenon_L254_ *) % 23.54/23.77 assert (zenon_L255_ : ((~((op2 (e21) (e21)) = (e20)))\/((op2 (e21) (e20)) = (e21))) -> ((((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e11) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e11) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e11) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e12) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e12) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e12) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e13) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e13) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e13) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))\/(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))))))))))))))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12))) -> ((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10))) -> ((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12))) -> ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> (~((h4 (op1 (e11) (e12))) = (op2 (h4 (e11)) (h4 (e12))))) -> ((h4 (e12)) = (op2 (op2 (e23) (e23)) (e23))) -> ((h4 (e11)) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12))) -> ((e12) = (op1 (op1 (e13) (e13)) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((e11) = (op1 (op1 (op1 (e13) (e13)) (e13)) (e13))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((e10) = (e11))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> ((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12))) -> ((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> ((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))) -> ((e10) = (op1 (e13) (e13))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((~((op2 (e22) (e22)) = (e21)))\/((op2 (e22) (e21)) = (e22))) -> (~((op2 (e22) (e21)) = (e22))) -> ((~((op2 (e22) (e22)) = (e23)))\/((op2 (e22) (e23)) = (e22))) -> ((e22) = (op2 (op2 (e23) (e23)) (e23))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((op2 (e20) (e20)) = (e20)) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e20) = (op2 (e23) (e23))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((e21) = (e22))) -> (~((op2 (e21) (e21)) = (e21))) -> (~((e20) = (e21))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((e21) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> ((~((op2 (e22) (e22)) = (e22)))\/((op2 (e22) (e22)) = (e22))) -> ((~((op2 (e21) (e21)) = (e22)))\/((op2 (e21) (e22)) = (e21))) -> False). % 23.54/23.77 do 0 intro. intros zenon_H19f zenon_H135 zenon_H132 zenon_H12c zenon_H12f zenon_H121 zenon_H101 zenon_H107 zenon_H11d zenon_Hf3 zenon_Hf9 zenon_Hfe zenon_H11a zenon_H112 zenon_H10f zenon_Heb zenon_He7 zenon_Hdb zenon_Hbc zenon_Hc9 zenon_Hcf zenon_Hce zenon_Hb8 zenon_Hd1 zenon_H9d zenon_H2b0 zenon_H26a zenon_H238 zenon_H9a zenon_Hc8 zenon_H4d zenon_Ha6 zenon_H62 zenon_Hc0 zenon_H6f zenon_H8b zenon_H8f zenon_H94 zenon_H95 zenon_H87 zenon_H86 zenon_H80 zenon_H68 zenon_H75 zenon_H7b zenon_H120 zenon_H9e zenon_H5c zenon_H4c zenon_H53 zenon_H5a zenon_Hb1 zenon_Hb4 zenon_H27 zenon_H28 zenon_H19b zenon_H1d4 zenon_H28f zenon_H1ca zenon_H14e zenon_H1a8 zenon_H164 zenon_H1a zenon_H1c2 zenon_H171 zenon_H18d zenon_H14 zenon_H191 zenon_H17d zenon_H177 zenon_H16a zenon_H193 zenon_H182 zenon_H188 zenon_H189 zenon_H194 zenon_H222 zenon_H19e. % 23.54/23.77 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_H192 | zenon_intro zenon_H168 ]. % 23.54/23.77 apply (zenon_L215_); trivial. % 23.54/23.77 apply (zenon_L253_); trivial. % 23.54/23.77 (* end of lemma zenon_L255_ *) % 23.54/23.77 assert (zenon_L256_ : ((~((op2 (e22) (e22)) = (e21)))\/(~((op2 (e22) (e21)) = (e22)))) -> ((~((op2 (e22) (e22)) = (e21)))\/((op2 (e22) (e21)) = (e22))) -> ((~((op2 (e21) (e21)) = (e20)))\/((op2 (e21) (e20)) = (e21))) -> ((((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e11) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e11) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e11) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e12) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e12) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e12) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e13) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e13) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e13) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))\/(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))))))))))))))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12))) -> ((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10))) -> ((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12))) -> ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> (~((h4 (op1 (e11) (e12))) = (op2 (h4 (e11)) (h4 (e12))))) -> ((h4 (e12)) = (op2 (op2 (e23) (e23)) (e23))) -> ((h4 (e11)) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12))) -> ((e12) = (op1 (op1 (e13) (e13)) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((e11) = (op1 (op1 (op1 (e13) (e13)) (e13)) (e13))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((e10) = (e11))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> ((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12))) -> ((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> ((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))) -> ((e10) = (op1 (e13) (e13))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((~((op2 (e22) (e22)) = (e22)))\/((op2 (e22) (e22)) = (e22))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> ((e21) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((e20) = (e21))) -> (~((op2 (e21) (e21)) = (e21))) -> (~((e21) = (e22))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> ((e20) = (op2 (e23) (e23))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((e22) = (op2 (op2 (e23) (e23)) (e23))) -> ((~((op2 (e22) (e22)) = (e23)))\/((op2 (e22) (e23)) = (e22))) -> ((~((op2 (e21) (e21)) = (e22)))\/((op2 (e21) (e22)) = (e21))) -> ((~((op2 (e20) (e20)) = (e20)))\/((op2 (e20) (e20)) = (e20))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e20)) = (e22))\/((op2 (e20) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (e21))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((~((op2 (e20) (e20)) = (e23)))\/((op2 (e20) (e23)) = (e20))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> False). % 23.54/23.77 do 0 intro. intros zenon_H290 zenon_H1d4 zenon_H19f zenon_H135 zenon_H132 zenon_H12c zenon_H12f zenon_H121 zenon_H101 zenon_H107 zenon_H11d zenon_Hf3 zenon_Hf9 zenon_Hfe zenon_H11a zenon_H112 zenon_H10f zenon_Heb zenon_He7 zenon_Hdb zenon_Hbc zenon_Hc9 zenon_Hcf zenon_Hce zenon_Hb8 zenon_Hd1 zenon_H9d zenon_H2b0 zenon_H26a zenon_H238 zenon_H9a zenon_Hc8 zenon_H4d zenon_Ha6 zenon_H62 zenon_Hc0 zenon_H6f zenon_H8b zenon_H8f zenon_H94 zenon_H95 zenon_H87 zenon_H86 zenon_H80 zenon_H68 zenon_H75 zenon_H7b zenon_H120 zenon_H9e zenon_H5c zenon_H4c zenon_H53 zenon_H5a zenon_Hb1 zenon_Hb4 zenon_H27 zenon_H28 zenon_H19b zenon_H222 zenon_H194 zenon_H189 zenon_H188 zenon_H182 zenon_H193 zenon_H16a zenon_H177 zenon_H17d zenon_H191 zenon_H14 zenon_H18d zenon_H171 zenon_H1c2 zenon_H164 zenon_H1a8 zenon_H14e zenon_H1ca zenon_H19e zenon_H1a0 zenon_H15e zenon_H14d zenon_H15d zenon_H154 zenon_H15b zenon_H1b3 zenon_H1b6. % 23.54/23.77 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H28f ]. % 23.54/23.77 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H1a | zenon_intro zenon_H1b7 ]. % 23.54/23.77 apply (zenon_L254_); trivial. % 23.54/23.77 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H19a | zenon_intro zenon_H1b8 ]. % 23.54/23.77 exact (zenon_H193 zenon_H19a). % 23.54/23.77 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H16f | zenon_intro zenon_H1a2 ]. % 23.54/23.77 apply (zenon_L114_); trivial. % 23.54/23.77 apply (zenon_L118_); trivial. % 23.54/23.77 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H1a | zenon_intro zenon_H1b7 ]. % 23.54/23.78 apply (zenon_L255_); trivial. % 23.54/23.78 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H19a | zenon_intro zenon_H1b8 ]. % 23.54/23.78 exact (zenon_H193 zenon_H19a). % 23.54/23.78 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H16f | zenon_intro zenon_H1a2 ]. % 23.54/23.78 apply (zenon_L114_); trivial. % 23.54/23.78 apply (zenon_L118_); trivial. % 23.54/23.78 (* end of lemma zenon_L256_ *) % 23.54/23.78 assert (zenon_L257_ : ((~((op2 (e22) (e22)) = (e21)))\/(~((op2 (e22) (e21)) = (e22)))) -> ((~((op2 (e22) (e22)) = (e21)))\/((op2 (e22) (e21)) = (e22))) -> ((~((op2 (e21) (e21)) = (e20)))\/((op2 (e21) (e20)) = (e21))) -> ((((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e11) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e11) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e11) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e12) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e12) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e12) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e13) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e13) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e13) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))\/(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))))))))))))))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12))) -> ((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10))) -> ((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12))) -> ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> (~((h4 (op1 (e11) (e12))) = (op2 (h4 (e11)) (h4 (e12))))) -> ((h4 (e12)) = (op2 (op2 (e23) (e23)) (e23))) -> ((h4 (e11)) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12))) -> ((e12) = (op1 (op1 (e13) (e13)) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((e11) = (op1 (op1 (op1 (e13) (e13)) (e13)) (e13))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((e10) = (e11))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> ((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12))) -> ((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> ((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))) -> ((e10) = (op1 (e13) (e13))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((~((op2 (e22) (e22)) = (e22)))\/((op2 (e22) (e22)) = (e22))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> ((e21) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((e20) = (e21))) -> (~((op2 (e21) (e21)) = (e21))) -> (~((e21) = (e22))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> ((e20) = (op2 (e23) (e23))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((e22) = (op2 (op2 (e23) (e23)) (e23))) -> ((~((op2 (e22) (e22)) = (e23)))\/((op2 (e22) (e23)) = (e22))) -> ((~((op2 (e21) (e21)) = (e22)))\/((op2 (e21) (e22)) = (e21))) -> ((~((op2 (e20) (e20)) = (e20)))\/((op2 (e20) (e20)) = (e20))) -> ((~((op2 (e20) (e20)) = (e23)))\/((op2 (e20) (e23)) = (e20))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e20)) = (e22))\/((op2 (e20) (e20)) = (e23))))) -> (~((op2 (e20) (e21)) = (e20))) -> ((~((op2 (e20) (e20)) = (e21)))\/((op2 (e20) (e21)) = (e20))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> False). % 23.54/23.78 do 0 intro. intros zenon_H290 zenon_H1d4 zenon_H19f zenon_H135 zenon_H132 zenon_H12c zenon_H12f zenon_H121 zenon_H101 zenon_H107 zenon_H11d zenon_Hf3 zenon_Hf9 zenon_Hfe zenon_H11a zenon_H112 zenon_H10f zenon_Heb zenon_He7 zenon_Hdb zenon_Hbc zenon_Hc9 zenon_Hcf zenon_Hce zenon_Hb8 zenon_Hd1 zenon_H9d zenon_H2b0 zenon_H26a zenon_H238 zenon_H9a zenon_Hc8 zenon_H4d zenon_Ha6 zenon_H62 zenon_Hc0 zenon_H6f zenon_H8b zenon_H8f zenon_H94 zenon_H95 zenon_H87 zenon_H86 zenon_H80 zenon_H68 zenon_H75 zenon_H7b zenon_H120 zenon_H9e zenon_H5c zenon_H4c zenon_H53 zenon_H5a zenon_Hb1 zenon_Hb4 zenon_H27 zenon_H28 zenon_H19b zenon_H222 zenon_H194 zenon_H189 zenon_H188 zenon_H182 zenon_H193 zenon_H16a zenon_H177 zenon_H17d zenon_H191 zenon_H14 zenon_H18d zenon_H171 zenon_H1c2 zenon_H164 zenon_H1a8 zenon_H14e zenon_H1ca zenon_H19e zenon_H1a0 zenon_H15b zenon_H154 zenon_H14d zenon_H15e zenon_H1b9 zenon_H1ba zenon_H1b3 zenon_H1b6. % 23.54/23.78 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H28f ]. % 23.54/23.78 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H1a | zenon_intro zenon_H1b7 ]. % 23.54/23.78 apply (zenon_L254_); trivial. % 23.54/23.78 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H19a | zenon_intro zenon_H1b8 ]. % 23.54/23.78 exact (zenon_H193 zenon_H19a). % 23.54/23.78 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H16f | zenon_intro zenon_H1a2 ]. % 23.54/23.78 apply (zenon_L120_); trivial. % 23.54/23.78 apply (zenon_L118_); trivial. % 23.54/23.78 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H1a | zenon_intro zenon_H1b7 ]. % 23.54/23.78 apply (zenon_L255_); trivial. % 23.54/23.78 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H19a | zenon_intro zenon_H1b8 ]. % 23.54/23.78 exact (zenon_H193 zenon_H19a). % 23.54/23.78 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H16f | zenon_intro zenon_H1a2 ]. % 23.54/23.78 apply (zenon_L120_); trivial. % 23.54/23.78 apply (zenon_L118_); trivial. % 23.54/23.78 (* end of lemma zenon_L257_ *) % 23.54/23.78 assert (zenon_L258_ : ((~((op2 (e20) (e20)) = (e21)))\/(~((op2 (e20) (e21)) = (e20)))) -> ((~((op2 (e20) (e20)) = (e21)))\/((op2 (e20) (e21)) = (e20))) -> ((~((op2 (e22) (e22)) = (e21)))\/(~((op2 (e22) (e21)) = (e22)))) -> ((~((op2 (e22) (e22)) = (e21)))\/((op2 (e22) (e21)) = (e22))) -> ((~((op2 (e21) (e21)) = (e20)))\/((op2 (e21) (e20)) = (e21))) -> ((((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e11) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e11) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e11) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e12) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e12) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e12) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e13) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e13) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e13) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))\/(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))))))))))))))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12))) -> ((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10))) -> ((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12))) -> ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> (~((h4 (op1 (e11) (e12))) = (op2 (h4 (e11)) (h4 (e12))))) -> ((h4 (e12)) = (op2 (op2 (e23) (e23)) (e23))) -> ((h4 (e11)) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12))) -> ((e12) = (op1 (op1 (e13) (e13)) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((e11) = (op1 (op1 (op1 (e13) (e13)) (e13)) (e13))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((e10) = (e11))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> ((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12))) -> ((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> ((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))) -> ((e10) = (op1 (e13) (e13))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((~((op2 (e22) (e22)) = (e22)))\/((op2 (e22) (e22)) = (e22))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> ((e21) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((e20) = (e21))) -> (~((e21) = (e22))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> ((e20) = (op2 (e23) (e23))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((e22) = (op2 (op2 (e23) (e23)) (e23))) -> ((~((op2 (e22) (e22)) = (e23)))\/((op2 (e22) (e23)) = (e22))) -> ((~((op2 (e21) (e21)) = (e22)))\/((op2 (e21) (e22)) = (e21))) -> ((~((op2 (e20) (e20)) = (e20)))\/((op2 (e20) (e20)) = (e20))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e20)) = (e22))\/((op2 (e20) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((~((op2 (e20) (e20)) = (e23)))\/((op2 (e20) (e23)) = (e20))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> ((~((op2 (e21) (e21)) = (e21)))\/(~((op2 (e21) (e21)) = (e21)))) -> False). % 23.54/23.78 do 0 intro. intros zenon_H1bc zenon_H1ba zenon_H290 zenon_H1d4 zenon_H19f zenon_H135 zenon_H132 zenon_H12c zenon_H12f zenon_H121 zenon_H101 zenon_H107 zenon_H11d zenon_Hf3 zenon_Hf9 zenon_Hfe zenon_H11a zenon_H112 zenon_H10f zenon_Heb zenon_He7 zenon_Hdb zenon_Hbc zenon_Hc9 zenon_Hcf zenon_Hce zenon_Hb8 zenon_Hd1 zenon_H9d zenon_H2b0 zenon_H26a zenon_H238 zenon_H9a zenon_Hc8 zenon_H4d zenon_Ha6 zenon_H62 zenon_Hc0 zenon_H6f zenon_H8b zenon_H8f zenon_H94 zenon_H95 zenon_H87 zenon_H86 zenon_H80 zenon_H68 zenon_H75 zenon_H7b zenon_H120 zenon_H9e zenon_H5c zenon_H4c zenon_H53 zenon_H5a zenon_Hb1 zenon_Hb4 zenon_H27 zenon_H28 zenon_H19b zenon_H222 zenon_H194 zenon_H189 zenon_H188 zenon_H182 zenon_H16a zenon_H177 zenon_H17d zenon_H191 zenon_H14 zenon_H18d zenon_H171 zenon_H1c2 zenon_H164 zenon_H1a8 zenon_H14e zenon_H1ca zenon_H19e zenon_H1a0 zenon_H15e zenon_H14d zenon_H154 zenon_H15b zenon_H1b3 zenon_H1b6 zenon_H1bd. % 23.54/23.78 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H15d | zenon_intro zenon_H1b9 ]. % 23.54/23.78 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H193 | zenon_intro zenon_H193 ]. % 23.54/23.78 apply (zenon_L256_); trivial. % 23.54/23.78 apply (zenon_L256_); trivial. % 23.54/23.78 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H193 | zenon_intro zenon_H193 ]. % 23.54/23.78 apply (zenon_L257_); trivial. % 23.54/23.78 apply (zenon_L257_); trivial. % 23.54/23.78 (* end of lemma zenon_L258_ *) % 23.54/23.78 assert (zenon_L259_ : (~((h4 (op1 (e11) (e13))) = (op2 (h4 (e11)) (h4 (e13))))) -> ((op1 (e11) (e13)) = (e13)) -> ((op2 (e21) (e23)) = (e23)) -> ((h4 (e11)) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> ((e21) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> ((h4 (e13)) = (e23)) -> False). % 23.54/23.78 do 0 intro. intros zenon_H2bd zenon_He4 zenon_H1e6 zenon_H238 zenon_H189 zenon_H26d. % 23.54/23.78 cut (((h4 (e13)) = (e23)) = ((h4 (op1 (e11) (e13))) = (op2 (h4 (e11)) (h4 (e13))))). % 23.54/23.78 intro zenon_D_pnotp. % 23.54/23.78 apply zenon_H2bd. % 23.54/23.78 rewrite <- zenon_D_pnotp. % 23.54/23.78 exact zenon_H26d. % 23.54/23.78 cut (((e23) = (op2 (h4 (e11)) (h4 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H2be]. % 23.54/23.78 cut (((h4 (e13)) = (h4 (op1 (e11) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H2bf]. % 23.54/23.78 congruence. % 23.54/23.78 elim (classic ((h4 (op1 (e11) (e13))) = (h4 (op1 (e11) (e13))))); [ zenon_intro zenon_H2c0 | zenon_intro zenon_H2c1 ]. % 23.54/23.78 cut (((h4 (op1 (e11) (e13))) = (h4 (op1 (e11) (e13)))) = ((h4 (e13)) = (h4 (op1 (e11) (e13))))). % 23.54/23.78 intro zenon_D_pnotp. % 23.54/23.78 apply zenon_H2bf. % 23.54/23.78 rewrite <- zenon_D_pnotp. % 23.54/23.78 exact zenon_H2c0. % 23.54/23.78 cut (((h4 (op1 (e11) (e13))) = (h4 (op1 (e11) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H2c1]. % 23.54/23.78 cut (((h4 (op1 (e11) (e13))) = (h4 (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2c2]. % 23.54/23.78 congruence. % 23.54/23.78 cut (((op1 (e11) (e13)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H2c3]. % 23.54/23.78 congruence. % 23.54/23.78 exact (zenon_H2c3 zenon_He4). % 23.54/23.78 apply zenon_H2c1. apply refl_equal. % 23.54/23.78 apply zenon_H2c1. apply refl_equal. % 23.54/23.78 elim (classic ((op2 (h4 (e11)) (h4 (e13))) = (op2 (h4 (e11)) (h4 (e13))))); [ zenon_intro zenon_H2c4 | zenon_intro zenon_H2c5 ]. % 23.54/23.78 cut (((op2 (h4 (e11)) (h4 (e13))) = (op2 (h4 (e11)) (h4 (e13)))) = ((e23) = (op2 (h4 (e11)) (h4 (e13))))). % 23.54/23.78 intro zenon_D_pnotp. % 23.54/23.78 apply zenon_H2be. % 23.54/23.78 rewrite <- zenon_D_pnotp. % 23.54/23.78 exact zenon_H2c4. % 23.54/23.78 cut (((op2 (h4 (e11)) (h4 (e13))) = (op2 (h4 (e11)) (h4 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H2c5]. % 23.54/23.78 cut (((op2 (h4 (e11)) (h4 (e13))) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H2c6]. % 23.54/23.78 congruence. % 23.54/23.78 cut (((op2 (e21) (e23)) = (e23)) = ((op2 (h4 (e11)) (h4 (e13))) = (e23))). % 23.54/23.78 intro zenon_D_pnotp. % 23.54/23.78 apply zenon_H2c6. % 23.54/23.78 rewrite <- zenon_D_pnotp. % 23.54/23.78 exact zenon_H1e6. % 23.54/23.78 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H14b]. % 23.54/23.78 cut (((op2 (e21) (e23)) = (op2 (h4 (e11)) (h4 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H2c7]. % 23.54/23.78 congruence. % 23.54/23.78 elim (classic ((op2 (h4 (e11)) (h4 (e13))) = (op2 (h4 (e11)) (h4 (e13))))); [ zenon_intro zenon_H2c4 | zenon_intro zenon_H2c5 ]. % 23.54/23.78 cut (((op2 (h4 (e11)) (h4 (e13))) = (op2 (h4 (e11)) (h4 (e13)))) = ((op2 (e21) (e23)) = (op2 (h4 (e11)) (h4 (e13))))). % 23.54/23.78 intro zenon_D_pnotp. % 23.54/23.78 apply zenon_H2c7. % 23.54/23.78 rewrite <- zenon_D_pnotp. % 23.54/23.78 exact zenon_H2c4. % 23.54/23.78 cut (((op2 (h4 (e11)) (h4 (e13))) = (op2 (h4 (e11)) (h4 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H2c5]. % 23.54/23.78 cut (((op2 (h4 (e11)) (h4 (e13))) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H2c8]. % 23.54/23.78 congruence. % 23.54/23.78 cut (((h4 (e13)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H2c9]. % 23.54/23.78 cut (((h4 (e11)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H237]. % 23.54/23.78 congruence. % 23.54/23.78 apply (zenon_L175_); trivial. % 23.54/23.78 exact (zenon_H2c9 zenon_H26d). % 23.54/23.78 apply zenon_H2c5. apply refl_equal. % 23.54/23.78 apply zenon_H2c5. apply refl_equal. % 23.54/23.78 apply zenon_H14b. apply refl_equal. % 23.54/23.78 apply zenon_H2c5. apply refl_equal. % 23.54/23.78 apply zenon_H2c5. apply refl_equal. % 23.54/23.78 (* end of lemma zenon_L259_ *) % 23.54/23.78 assert (zenon_L260_ : (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((e11) = (op1 (op1 (op1 (e13) (e13)) (e13)) (e13))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((e10) = (op1 (e13) (e13))) -> ((e12) = (op1 (op1 (e13) (e13)) (e13))) -> (~((h4 (op1 (e11) (e13))) = (op2 (h4 (e11)) (h4 (e13))))) -> ((op2 (e21) (e23)) = (e23)) -> ((h4 (e11)) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> ((e21) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> ((h4 (e13)) = (e23)) -> False). % 23.54/23.78 do 0 intro. intros zenon_He7 zenon_H8b zenon_H87 zenon_H86 zenon_H75 zenon_H28 zenon_H4d zenon_H2bd zenon_H1e6 zenon_H238 zenon_H189 zenon_H26d. % 23.54/23.78 apply (zenon_or_s _ _ zenon_He7); [ zenon_intro zenon_H8c | zenon_intro zenon_He8 ]. % 23.54/23.78 apply (zenon_L27_); trivial. % 23.54/23.78 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H88 | zenon_intro zenon_He9 ]. % 23.54/23.78 apply (zenon_L26_); trivial. % 23.54/23.78 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H74 | zenon_intro zenon_He4 ]. % 23.54/23.78 apply (zenon_L22_); trivial. % 23.54/23.78 apply (zenon_L259_); trivial. % 23.54/23.78 (* end of lemma zenon_L260_ *) % 23.54/23.78 assert (zenon_L261_ : ((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12))) -> ((op2 (e22) (e20)) = (e22)) -> ((h4 (e12)) = (op2 (op2 (e23) (e23)) (e23))) -> ((e22) = (op2 (op2 (e23) (e23)) (e23))) -> ((h4 (e10)) = (op2 (e23) (e23))) -> ((e20) = (op2 (e23) (e23))) -> (~((h4 (op1 (e12) (e10))) = (op2 (h4 (e12)) (h4 (e10))))) -> ((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12))) -> ((e10) = (op1 (e13) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((e11) = (op1 (op1 (op1 (e13) (e13)) (e13)) (e13))) -> ((e12) = (op1 (op1 (e13) (e13)) (e13))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((e10) = (e11))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> ((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12))) -> False). % 23.54/23.78 do 0 intro. intros zenon_Hce zenon_H1d0 zenon_H26a zenon_H14e zenon_H3b zenon_H14 zenon_H2ca zenon_Hc8 zenon_H28 zenon_Ha6 zenon_Hbc zenon_H87 zenon_H4d zenon_Hc0 zenon_H9d zenon_H9a zenon_H8f zenon_H8b zenon_H7b zenon_H75 zenon_H6f zenon_H68 zenon_H96 zenon_H80 zenon_H86 zenon_H95 zenon_H2e zenon_H62 zenon_H94 zenon_H120. % 23.54/23.78 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_Hc1 | zenon_intro zenon_Hca ]. % 23.54/23.78 apply (zenon_L234_); trivial. % 23.54/23.78 cut (((h4 (e12)) = (op2 (op2 (e23) (e23)) (e23))) = ((h4 (op1 (e12) (e10))) = (op2 (h4 (e12)) (h4 (e10))))). % 23.54/23.78 intro zenon_D_pnotp. % 23.54/23.78 apply zenon_H2ca. % 23.54/23.78 rewrite <- zenon_D_pnotp. % 23.54/23.78 exact zenon_H26a. % 23.54/23.78 cut (((op2 (op2 (e23) (e23)) (e23)) = (op2 (h4 (e12)) (h4 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H2cb]. % 23.54/23.78 cut (((h4 (e12)) = (h4 (op1 (e12) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H2cc]. % 23.54/23.78 congruence. % 23.54/23.78 elim (classic ((h4 (op1 (e12) (e10))) = (h4 (op1 (e12) (e10))))); [ zenon_intro zenon_H2cd | zenon_intro zenon_H2ce ]. % 23.54/23.78 cut (((h4 (op1 (e12) (e10))) = (h4 (op1 (e12) (e10)))) = ((h4 (e12)) = (h4 (op1 (e12) (e10))))). % 23.54/23.78 intro zenon_D_pnotp. % 23.54/23.78 apply zenon_H2cc. % 23.54/23.78 rewrite <- zenon_D_pnotp. % 23.54/23.78 exact zenon_H2cd. % 23.54/23.78 cut (((h4 (op1 (e12) (e10))) = (h4 (op1 (e12) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H2ce]. % 23.54/23.78 cut (((h4 (op1 (e12) (e10))) = (h4 (e12)))); [idtac | apply NNPP; zenon_intro zenon_H2cf]. % 23.54/23.78 congruence. % 23.54/23.78 cut (((op1 (e12) (e10)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H2d0]. % 23.54/23.78 congruence. % 23.54/23.78 exact (zenon_H2d0 zenon_Hca). % 23.54/23.78 apply zenon_H2ce. apply refl_equal. % 23.54/23.78 apply zenon_H2ce. apply refl_equal. % 23.54/23.78 elim (classic ((op2 (h4 (e12)) (h4 (e10))) = (op2 (h4 (e12)) (h4 (e10))))); [ zenon_intro zenon_H2d1 | zenon_intro zenon_H2d2 ]. % 23.54/23.78 cut (((op2 (h4 (e12)) (h4 (e10))) = (op2 (h4 (e12)) (h4 (e10)))) = ((op2 (op2 (e23) (e23)) (e23)) = (op2 (h4 (e12)) (h4 (e10))))). % 23.54/23.78 intro zenon_D_pnotp. % 23.54/23.78 apply zenon_H2cb. % 23.54/23.78 rewrite <- zenon_D_pnotp. % 23.54/23.78 exact zenon_H2d1. % 23.54/23.78 cut (((op2 (h4 (e12)) (h4 (e10))) = (op2 (h4 (e12)) (h4 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H2d2]. % 23.54/23.78 cut (((op2 (h4 (e12)) (h4 (e10))) = (op2 (op2 (e23) (e23)) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H2d3]. % 23.54/23.78 congruence. % 23.54/23.78 cut (((op2 (e22) (e20)) = (e22)) = ((op2 (h4 (e12)) (h4 (e10))) = (op2 (op2 (e23) (e23)) (e23)))). % 23.54/23.78 intro zenon_D_pnotp. % 23.54/23.78 apply zenon_H2d3. % 23.54/23.78 rewrite <- zenon_D_pnotp. % 23.54/23.78 exact zenon_H1d0. % 23.54/23.78 cut (((e22) = (op2 (op2 (e23) (e23)) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H2ba]. % 23.54/23.78 cut (((op2 (e22) (e20)) = (op2 (h4 (e12)) (h4 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H2d4]. % 23.54/23.78 congruence. % 23.54/23.78 elim (classic ((op2 (h4 (e12)) (h4 (e10))) = (op2 (h4 (e12)) (h4 (e10))))); [ zenon_intro zenon_H2d1 | zenon_intro zenon_H2d2 ]. % 23.54/23.78 cut (((op2 (h4 (e12)) (h4 (e10))) = (op2 (h4 (e12)) (h4 (e10)))) = ((op2 (e22) (e20)) = (op2 (h4 (e12)) (h4 (e10))))). % 23.54/23.78 intro zenon_D_pnotp. % 23.54/23.78 apply zenon_H2d4. % 23.54/23.78 rewrite <- zenon_D_pnotp. % 23.54/23.78 exact zenon_H2d1. % 23.54/23.78 cut (((op2 (h4 (e12)) (h4 (e10))) = (op2 (h4 (e12)) (h4 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H2d2]. % 23.54/23.78 cut (((op2 (h4 (e12)) (h4 (e10))) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H2d5]. % 23.54/23.78 congruence. % 23.54/23.78 cut (((h4 (e10)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H3a]. % 23.54/23.78 cut (((h4 (e12)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H269]. % 23.54/23.78 congruence. % 23.54/23.78 apply (zenon_L201_); trivial. % 23.54/23.78 apply (zenon_L11_); trivial. % 23.54/23.78 apply zenon_H2d2. apply refl_equal. % 23.54/23.78 apply zenon_H2d2. apply refl_equal. % 23.54/23.78 exact (zenon_H2ba zenon_H14e). % 23.54/23.78 apply zenon_H2d2. apply refl_equal. % 23.54/23.78 apply zenon_H2d2. apply refl_equal. % 23.54/23.78 (* end of lemma zenon_L261_ *) % 23.54/23.78 assert (zenon_L262_ : (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> ((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12))) -> (~((h4 (op1 (e12) (e10))) = (op2 (h4 (e12)) (h4 (e10))))) -> ((e20) = (op2 (e23) (e23))) -> ((h4 (e10)) = (op2 (e23) (e23))) -> ((e22) = (op2 (op2 (e23) (e23)) (e23))) -> ((h4 (e12)) = (op2 (op2 (e23) (e23)) (e23))) -> ((op2 (e22) (e20)) = (e22)) -> ((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12))) -> ((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10))) -> (~((op1 (e10) (e10)) = (e11))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((e10) = (e11))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((e11) = (op1 (op1 (op1 (e13) (e13)) (e13)) (e13))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> ((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (e13)) (e13))) -> ((e10) = (op1 (e13) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> False). % 23.54/23.78 do 0 intro. intros zenon_Hb4 zenon_H120 zenon_Hc0 zenon_Hbc zenon_Hc8 zenon_H2ca zenon_H14 zenon_H3b zenon_H14e zenon_H26a zenon_H1d0 zenon_Hce zenon_H5a zenon_H5b zenon_H4c zenon_H5c zenon_H9d zenon_H9a zenon_H8f zenon_H8b zenon_H7b zenon_H6f zenon_H68 zenon_H96 zenon_H80 zenon_H86 zenon_H87 zenon_H95 zenon_H62 zenon_H94 zenon_H9e zenon_Hb1 zenon_H75 zenon_Ha6 zenon_H4d zenon_H28 zenon_H53. % 23.54/23.78 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H2e | zenon_intro zenon_Hb5 ]. % 23.54/23.78 apply (zenon_L261_); trivial. % 23.54/23.78 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_H99 | zenon_intro zenon_Hb6 ]. % 23.54/23.78 exact (zenon_H96 zenon_H99). % 23.54/23.78 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_H6d | zenon_intro zenon_Ha0 ]. % 23.54/23.78 apply (zenon_L33_); trivial. % 23.54/23.78 apply (zenon_L37_); trivial. % 23.54/23.78 (* end of lemma zenon_L262_ *) % 23.54/23.78 assert (zenon_L263_ : (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> ((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12))) -> (~((h4 (op1 (e12) (e10))) = (op2 (h4 (e12)) (h4 (e10))))) -> ((e20) = (op2 (e23) (e23))) -> ((h4 (e10)) = (op2 (e23) (e23))) -> ((e22) = (op2 (op2 (e23) (e23)) (e23))) -> ((h4 (e12)) = (op2 (op2 (e23) (e23)) (e23))) -> ((op2 (e22) (e20)) = (e22)) -> ((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12))) -> ((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10))) -> (~((op1 (e10) (e11)) = (e10))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10))) -> ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((e10) = (e11))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((e11) = (op1 (op1 (op1 (e13) (e13)) (e13)) (e13))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> ((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (e13)) (e13))) -> ((e10) = (op1 (e13) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> False). % 23.54/23.78 do 0 intro. intros zenon_Hb4 zenon_H120 zenon_Hc0 zenon_Hbc zenon_Hc8 zenon_H2ca zenon_H14 zenon_H3b zenon_H14e zenon_H26a zenon_H1d0 zenon_Hce zenon_Hb8 zenon_Hb7 zenon_H5c zenon_H4c zenon_H5a zenon_H9d zenon_H9a zenon_H8f zenon_H8b zenon_H7b zenon_H6f zenon_H68 zenon_H96 zenon_H80 zenon_H86 zenon_H87 zenon_H95 zenon_H62 zenon_H94 zenon_H9e zenon_Hb1 zenon_H75 zenon_Ha6 zenon_H4d zenon_H28 zenon_H53. % 23.54/23.78 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H2e | zenon_intro zenon_Hb5 ]. % 23.54/23.78 apply (zenon_L261_); trivial. % 23.54/23.78 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_H99 | zenon_intro zenon_Hb6 ]. % 23.54/23.78 exact (zenon_H96 zenon_H99). % 23.54/23.78 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_H6d | zenon_intro zenon_Ha0 ]. % 23.54/23.78 apply (zenon_L39_); trivial. % 23.54/23.78 apply (zenon_L37_); trivial. % 23.54/23.78 (* end of lemma zenon_L263_ *) % 23.54/23.78 assert (zenon_L264_ : ((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10)))) -> ((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> ((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10))) -> ((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((e10) = (e11))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((e12) = (op1 (op1 (e13) (e13)) (e13))) -> ((e11) = (op1 (op1 (op1 (e13) (e13)) (e13)) (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (e13) (e13))) -> ((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12))) -> (~((h4 (op1 (e12) (e10))) = (op2 (h4 (e12)) (h4 (e10))))) -> ((e20) = (op2 (e23) (e23))) -> ((h4 (e10)) = (op2 (e23) (e23))) -> ((e22) = (op2 (op2 (e23) (e23)) (e23))) -> ((h4 (e12)) = (op2 (op2 (e23) (e23)) (e23))) -> ((op2 (e22) (e20)) = (e22)) -> ((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11)))) -> False). % 23.54/23.78 do 0 intro. intros zenon_Hba zenon_Hb8 zenon_Hb4 zenon_Hb1 zenon_H5a zenon_H53 zenon_H4c zenon_H5c zenon_H9e zenon_H120 zenon_H94 zenon_H62 zenon_H95 zenon_H86 zenon_H80 zenon_H68 zenon_H6f zenon_H75 zenon_H7b zenon_H8b zenon_H8f zenon_H9a zenon_H9d zenon_Hc0 zenon_H4d zenon_H87 zenon_Hbc zenon_Ha6 zenon_H28 zenon_Hc8 zenon_H2ca zenon_H14 zenon_H3b zenon_H14e zenon_H26a zenon_H1d0 zenon_Hce zenon_Hbb. % 23.54/23.78 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H5b | zenon_intro zenon_Hb7 ]. % 23.54/23.78 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H96 | zenon_intro zenon_H96 ]. % 23.54/23.78 apply (zenon_L262_); trivial. % 23.54/23.78 apply (zenon_L262_); trivial. % 23.54/23.78 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H96 | zenon_intro zenon_H96 ]. % 23.54/23.78 apply (zenon_L263_); trivial. % 23.54/23.78 apply (zenon_L263_); trivial. % 23.54/23.78 (* end of lemma zenon_L264_ *) % 23.54/23.78 assert (zenon_L265_ : ((~((op2 (e22) (e22)) = (e20)))\/((op2 (e22) (e20)) = (e22))) -> ((e10) = (op1 (e13) (e13))) -> ((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))) -> ((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12))) -> ((h4 (e12)) = (op2 (op2 (e23) (e23)) (e23))) -> ((h4 (e10)) = (op2 (e23) (e23))) -> (~((h4 (op1 (e12) (e10))) = (op2 (h4 (e12)) (h4 (e10))))) -> ((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((e11) = (op1 (op1 (op1 (e13) (e13)) (e13)) (e13))) -> ((e12) = (op1 (op1 (e13) (e13)) (e13))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((e11) = (e12))) -> (~((e10) = (e11))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> ((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12))) -> ((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> ((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> ((((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e11) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e11) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e11) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e12) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e12) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e12) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e13) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e13) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e13) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))\/(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))))))))))))))))) -> ((~((op2 (e22) (e22)) = (e23)))\/((op2 (e22) (e23)) = (e22))) -> ((e20) = (op2 (e23) (e23))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((e21) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> ((e22) = (op2 (op2 (e23) (e23)) (e23))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> ((~((op2 (e21) (e21)) = (e20)))\/((op2 (e21) (e20)) = (e21))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((e21) = (e22))) -> (~((op2 (e21) (e21)) = (e21))) -> (~((e20) = (e21))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> ((op2 (e20) (e20)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((~((op2 (e21) (e21)) = (e22)))\/((op2 (e21) (e22)) = (e21))) -> ((~((op2 (e22) (e22)) = (e22)))\/((op2 (e22) (e22)) = (e22))) -> False). % 23.54/23.78 do 0 intro. intros zenon_H1d3 zenon_H28 zenon_H27 zenon_Hce zenon_H26a zenon_H3b zenon_H2ca zenon_Hc8 zenon_Ha6 zenon_Hbc zenon_H87 zenon_H4d zenon_Hc0 zenon_H9d zenon_H9a zenon_H8f zenon_H8b zenon_H7b zenon_H75 zenon_H6f zenon_H68 zenon_H80 zenon_H86 zenon_H95 zenon_H62 zenon_H94 zenon_H120 zenon_H9e zenon_H5c zenon_H4c zenon_H53 zenon_H5a zenon_Hb1 zenon_Hb4 zenon_Hb8 zenon_Hcf zenon_Hc9 zenon_Hd1 zenon_Hdb zenon_He7 zenon_Heb zenon_H10f zenon_H112 zenon_H11a zenon_Hfe zenon_Hf9 zenon_Hf3 zenon_H11d zenon_H107 zenon_H101 zenon_H121 zenon_H12f zenon_H12c zenon_H132 zenon_H135 zenon_H1ca zenon_H14 zenon_H1a8 zenon_H1be zenon_H189 zenon_H14e zenon_H1c2 zenon_H19f zenon_H19b zenon_H191 zenon_H18d zenon_H17d zenon_H177 zenon_H171 zenon_H16a zenon_H193 zenon_H182 zenon_H188 zenon_H194 zenon_H1a zenon_H164 zenon_H19e zenon_H222. % 23.54/23.78 apply (zenon_or_s _ _ zenon_H1d3); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H1d0 ]. % 23.54/23.78 apply (zenon_L233_); trivial. % 23.54/23.78 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H2c | zenon_intro zenon_H136 ]. % 23.54/23.78 apply (zenon_L7_); trivial. % 23.54/23.78 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H34 | zenon_intro zenon_H137 ]. % 23.54/23.78 apply (zenon_L8_); trivial. % 23.54/23.78 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H36 | zenon_intro zenon_H138 ]. % 23.54/23.78 apply (zenon_L9_); trivial. % 23.54/23.78 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H38 | zenon_intro zenon_H139 ]. % 23.54/23.78 apply (zenon_L10_); trivial. % 23.54/23.78 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H13b | zenon_intro zenon_H13a ]. % 23.54/23.78 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_H63. zenon_intro zenon_H13c. % 23.54/23.78 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_Hba. zenon_intro zenon_H13d. % 23.54/23.78 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_Hbb. zenon_intro zenon_H13e. % 23.54/23.78 apply (zenon_L264_); trivial. % 23.54/23.78 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H140 | zenon_intro zenon_H13f ]. % 23.54/23.78 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H99. zenon_intro zenon_H13c. % 23.54/23.78 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_Hba. zenon_intro zenon_H13d. % 23.54/23.78 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_Hbb. zenon_intro zenon_H13e. % 23.54/23.78 apply (zenon_L264_); trivial. % 23.54/23.78 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H142 | zenon_intro zenon_H141 ]. % 23.54/23.78 apply (zenon_and_s _ _ zenon_H142). zenon_intro zenon_H6e. zenon_intro zenon_H13c. % 23.54/23.78 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_Hba. zenon_intro zenon_H13d. % 23.54/23.78 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_Hbb. zenon_intro zenon_H13e. % 23.54/23.78 apply (zenon_L264_); trivial. % 23.54/23.78 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H144 | zenon_intro zenon_H143 ]. % 23.54/23.78 apply (zenon_and_s _ _ zenon_H144). zenon_intro zenon_He4. zenon_intro zenon_H13c. % 23.54/23.78 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_Hba. zenon_intro zenon_H13d. % 23.54/23.78 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_Hbb. zenon_intro zenon_H13e. % 23.54/23.78 apply (zenon_L264_); trivial. % 23.54/23.78 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H145 ]. % 23.54/23.78 apply (zenon_L47_); trivial. % 23.54/23.78 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_He1 | zenon_intro zenon_H146 ]. % 23.54/23.78 apply (zenon_L49_); trivial. % 23.54/23.78 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_He2 | zenon_intro zenon_H147 ]. % 23.54/23.78 apply (zenon_L50_); trivial. % 23.54/23.78 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_Hea | zenon_intro zenon_H148 ]. % 23.54/23.78 apply (zenon_L53_); trivial. % 23.54/23.78 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H149 ]. % 23.54/23.78 apply (zenon_L55_); trivial. % 23.54/23.78 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H124 | zenon_intro zenon_H14a ]. % 23.54/23.78 apply (zenon_L78_); trivial. % 23.54/23.78 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_H133 | zenon_intro zenon_H134 ]. % 23.54/23.78 apply (zenon_L91_); trivial. % 23.54/23.78 apply (zenon_L92_); trivial. % 23.54/23.78 (* end of lemma zenon_L265_ *) % 23.54/23.78 assert (zenon_L266_ : (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> ((~((op2 (e22) (e22)) = (e22)))\/((op2 (e22) (e22)) = (e22))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((~((op2 (e22) (e22)) = (e23)))\/((op2 (e22) (e23)) = (e22))) -> ((((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e11) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e11) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e11) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e12) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e12) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e12) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e13) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e13) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e13) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))\/(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))))))))))))))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> ((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10))) -> ((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((e10) = (e11))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((e12) = (op1 (op1 (e13) (e13)) (e13))) -> ((e11) = (op1 (op1 (op1 (e13) (e13)) (e13)) (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12))) -> (~((h4 (op1 (e12) (e10))) = (op2 (h4 (e12)) (h4 (e10))))) -> ((h4 (e10)) = (op2 (e23) (e23))) -> ((h4 (e12)) = (op2 (op2 (e23) (e23)) (e23))) -> ((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12))) -> ((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))) -> ((e10) = (op1 (e13) (e13))) -> ((~((op2 (e22) (e22)) = (e20)))\/((op2 (e22) (e20)) = (e22))) -> ((~((op2 (e20) (e20)) = (e23)))\/((op2 (e20) (e23)) = (e20))) -> (~((op2 (e20) (e20)) = (e21))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e20)) = (e22))\/((op2 (e20) (e20)) = (e23))))) -> ((~((op2 (e21) (e21)) = (e20)))\/((op2 (e21) (e20)) = (e21))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((e21) = (e22))) -> (~((op2 (e21) (e21)) = (e21))) -> (~((e20) = (e21))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((e21) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((~((op2 (e21) (e21)) = (e22)))\/((op2 (e21) (e22)) = (e21))) -> ((~((op2 (e20) (e20)) = (e20)))\/((op2 (e20) (e20)) = (e20))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((e22) = (op2 (op2 (e23) (e23)) (e23))) -> ((e20) = (op2 (e23) (e23))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> False). % 23.54/23.79 do 0 intro. intros zenon_H1b6 zenon_H222 zenon_H1c2 zenon_H1be zenon_H1ca zenon_H135 zenon_H132 zenon_H12c zenon_H12f zenon_H121 zenon_H101 zenon_H107 zenon_H11d zenon_Hf3 zenon_Hf9 zenon_Hfe zenon_H11a zenon_H112 zenon_H10f zenon_Heb zenon_He7 zenon_Hdb zenon_Hd1 zenon_Hc9 zenon_Hcf zenon_Hb8 zenon_Hb4 zenon_Hb1 zenon_H5a zenon_H53 zenon_H4c zenon_H5c zenon_H9e zenon_H120 zenon_H94 zenon_H62 zenon_H95 zenon_H86 zenon_H80 zenon_H68 zenon_H6f zenon_H75 zenon_H7b zenon_H8b zenon_H8f zenon_H9a zenon_H9d zenon_Hc0 zenon_H4d zenon_H87 zenon_Hbc zenon_Ha6 zenon_Hc8 zenon_H2ca zenon_H3b zenon_H26a zenon_Hce zenon_H27 zenon_H28 zenon_H1d3 zenon_H15b zenon_H15d zenon_H14d zenon_H15e zenon_H19f zenon_H19b zenon_H191 zenon_H18d zenon_H17d zenon_H171 zenon_H16a zenon_H193 zenon_H182 zenon_H188 zenon_H189 zenon_H194 zenon_H164 zenon_H19e zenon_H1a0 zenon_H1b3 zenon_H177 zenon_H1a8 zenon_H14e zenon_H14 zenon_H154. % 23.54/23.79 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H1a | zenon_intro zenon_H1b7 ]. % 23.54/23.79 apply (zenon_L265_); trivial. % 23.54/23.79 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H19a | zenon_intro zenon_H1b8 ]. % 23.54/23.79 exact (zenon_H193 zenon_H19a). % 23.54/23.79 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H16f | zenon_intro zenon_H1a2 ]. % 23.54/23.79 apply (zenon_L114_); trivial. % 23.54/23.79 apply (zenon_L118_); trivial. % 23.54/23.79 (* end of lemma zenon_L266_ *) % 23.54/23.79 assert (zenon_L267_ : (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> ((~((op2 (e22) (e22)) = (e22)))\/((op2 (e22) (e22)) = (e22))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((~((op2 (e22) (e22)) = (e23)))\/((op2 (e22) (e23)) = (e22))) -> ((((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e11) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e11) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e11) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e12) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e12) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e12) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e13) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e13) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e13) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))\/(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))))))))))))))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> ((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10))) -> ((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((e10) = (e11))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((e12) = (op1 (op1 (e13) (e13)) (e13))) -> ((e11) = (op1 (op1 (op1 (e13) (e13)) (e13)) (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12))) -> (~((h4 (op1 (e12) (e10))) = (op2 (h4 (e12)) (h4 (e10))))) -> ((h4 (e10)) = (op2 (e23) (e23))) -> ((h4 (e12)) = (op2 (op2 (e23) (e23)) (e23))) -> ((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12))) -> ((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))) -> ((e10) = (op1 (e13) (e13))) -> ((~((op2 (e22) (e22)) = (e20)))\/((op2 (e22) (e20)) = (e22))) -> ((~((op2 (e20) (e20)) = (e21)))\/((op2 (e20) (e21)) = (e20))) -> (~((op2 (e20) (e21)) = (e20))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e20)) = (e22))\/((op2 (e20) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((~((op2 (e20) (e20)) = (e23)))\/((op2 (e20) (e23)) = (e20))) -> ((~((op2 (e21) (e21)) = (e20)))\/((op2 (e21) (e20)) = (e21))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((e21) = (e22))) -> (~((op2 (e21) (e21)) = (e21))) -> (~((e20) = (e21))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((e21) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((~((op2 (e21) (e21)) = (e22)))\/((op2 (e21) (e22)) = (e21))) -> ((~((op2 (e20) (e20)) = (e20)))\/((op2 (e20) (e20)) = (e20))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((e22) = (op2 (op2 (e23) (e23)) (e23))) -> ((e20) = (op2 (e23) (e23))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> False). % 23.54/23.79 do 0 intro. intros zenon_H1b6 zenon_H222 zenon_H1c2 zenon_H1be zenon_H1ca zenon_H135 zenon_H132 zenon_H12c zenon_H12f zenon_H121 zenon_H101 zenon_H107 zenon_H11d zenon_Hf3 zenon_Hf9 zenon_Hfe zenon_H11a zenon_H112 zenon_H10f zenon_Heb zenon_He7 zenon_Hdb zenon_Hd1 zenon_Hc9 zenon_Hcf zenon_Hb8 zenon_Hb4 zenon_Hb1 zenon_H5a zenon_H53 zenon_H4c zenon_H5c zenon_H9e zenon_H120 zenon_H94 zenon_H62 zenon_H95 zenon_H86 zenon_H80 zenon_H68 zenon_H6f zenon_H75 zenon_H7b zenon_H8b zenon_H8f zenon_H9a zenon_H9d zenon_Hc0 zenon_H4d zenon_H87 zenon_Hbc zenon_Ha6 zenon_Hc8 zenon_H2ca zenon_H3b zenon_H26a zenon_Hce zenon_H27 zenon_H28 zenon_H1d3 zenon_H1ba zenon_H1b9 zenon_H15e zenon_H14d zenon_H15b zenon_H19f zenon_H19b zenon_H191 zenon_H18d zenon_H17d zenon_H171 zenon_H16a zenon_H193 zenon_H182 zenon_H188 zenon_H189 zenon_H194 zenon_H164 zenon_H19e zenon_H1a0 zenon_H1b3 zenon_H177 zenon_H1a8 zenon_H14e zenon_H14 zenon_H154. % 23.54/23.79 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H1a | zenon_intro zenon_H1b7 ]. % 23.54/23.79 apply (zenon_L265_); trivial. % 23.54/23.79 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H19a | zenon_intro zenon_H1b8 ]. % 23.54/23.79 exact (zenon_H193 zenon_H19a). % 23.54/23.79 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H16f | zenon_intro zenon_H1a2 ]. % 23.54/23.79 apply (zenon_L120_); trivial. % 23.54/23.79 apply (zenon_L118_); trivial. % 23.54/23.79 (* end of lemma zenon_L267_ *) % 23.54/23.79 assert (zenon_L268_ : ((~((op2 (e20) (e20)) = (e21)))\/(~((op2 (e20) (e21)) = (e20)))) -> ((~((op2 (e20) (e20)) = (e21)))\/((op2 (e20) (e21)) = (e20))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> ((~((op2 (e20) (e20)) = (e23)))\/((op2 (e20) (e23)) = (e20))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e20)) = (e22))\/((op2 (e20) (e20)) = (e23))))) -> ((~((op2 (e20) (e20)) = (e20)))\/((op2 (e20) (e20)) = (e20))) -> ((~((op2 (e22) (e22)) = (e22)))\/((op2 (e22) (e22)) = (e22))) -> ((~((op2 (e21) (e21)) = (e22)))\/((op2 (e21) (e22)) = (e21))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((e20) = (e21))) -> (~((e21) = (e22))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((~((op2 (e21) (e21)) = (e20)))\/((op2 (e21) (e20)) = (e21))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> ((e22) = (op2 (op2 (e23) (e23)) (e23))) -> ((e21) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (e23) (e23))) -> ((~((op2 (e22) (e22)) = (e23)))\/((op2 (e22) (e23)) = (e22))) -> ((((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e11) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e11) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e11) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e12) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e12) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e12) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e13) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e13) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e13) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))\/(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))))))))))))))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> ((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10))) -> ((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((e10) = (e11))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((e12) = (op1 (op1 (e13) (e13)) (e13))) -> ((e11) = (op1 (op1 (op1 (e13) (e13)) (e13)) (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12))) -> (~((h4 (op1 (e12) (e10))) = (op2 (h4 (e12)) (h4 (e10))))) -> ((h4 (e10)) = (op2 (e23) (e23))) -> ((h4 (e12)) = (op2 (op2 (e23) (e23)) (e23))) -> ((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12))) -> ((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))) -> ((e10) = (op1 (e13) (e13))) -> ((~((op2 (e22) (e22)) = (e20)))\/((op2 (e22) (e20)) = (e22))) -> ((~((op2 (e21) (e21)) = (e21)))\/(~((op2 (e21) (e21)) = (e21)))) -> False). % 23.54/23.79 do 0 intro. intros zenon_H1bc zenon_H1ba zenon_H1b6 zenon_H1b3 zenon_H15b zenon_H154 zenon_H14d zenon_H15e zenon_H1a0 zenon_H222 zenon_H19e zenon_H164 zenon_H194 zenon_H188 zenon_H182 zenon_H16a zenon_H171 zenon_H177 zenon_H17d zenon_H18d zenon_H191 zenon_H19b zenon_H19f zenon_H1c2 zenon_H14e zenon_H189 zenon_H1be zenon_H1a8 zenon_H14 zenon_H1ca zenon_H135 zenon_H132 zenon_H12c zenon_H12f zenon_H121 zenon_H101 zenon_H107 zenon_H11d zenon_Hf3 zenon_Hf9 zenon_Hfe zenon_H11a zenon_H112 zenon_H10f zenon_Heb zenon_He7 zenon_Hdb zenon_Hd1 zenon_Hc9 zenon_Hcf zenon_Hb8 zenon_Hb4 zenon_Hb1 zenon_H5a zenon_H53 zenon_H4c zenon_H5c zenon_H9e zenon_H120 zenon_H94 zenon_H62 zenon_H95 zenon_H86 zenon_H80 zenon_H68 zenon_H6f zenon_H75 zenon_H7b zenon_H8b zenon_H8f zenon_H9a zenon_H9d zenon_Hc0 zenon_H4d zenon_H87 zenon_Hbc zenon_Ha6 zenon_Hc8 zenon_H2ca zenon_H3b zenon_H26a zenon_Hce zenon_H27 zenon_H28 zenon_H1d3 zenon_H1bd. % 23.54/23.79 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H15d | zenon_intro zenon_H1b9 ]. % 23.54/23.79 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H193 | zenon_intro zenon_H193 ]. % 23.54/23.79 apply (zenon_L266_); trivial. % 23.54/23.79 apply (zenon_L266_); trivial. % 23.54/23.79 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H193 | zenon_intro zenon_H193 ]. % 23.54/23.79 apply (zenon_L267_); trivial. % 23.54/23.79 apply (zenon_L267_); trivial. % 23.54/23.79 (* end of lemma zenon_L268_ *) % 23.54/23.79 assert (zenon_L269_ : ((e20) = (op2 (e23) (e23))) -> ((op2 (e21) (e21)) = (e20)) -> (~((op2 (e23) (e23)) = (op2 (e21) (e21)))) -> False). % 23.54/23.79 do 0 intro. intros zenon_H14 zenon_H197 zenon_H2d6. % 23.54/23.79 elim (classic ((op2 (e21) (e21)) = (op2 (e21) (e21)))); [ zenon_intro zenon_H2d7 | zenon_intro zenon_H225 ]. % 23.54/23.79 cut (((op2 (e21) (e21)) = (op2 (e21) (e21))) = ((op2 (e23) (e23)) = (op2 (e21) (e21)))). % 23.54/23.79 intro zenon_D_pnotp. % 23.54/23.79 apply zenon_H2d6. % 23.54/23.79 rewrite <- zenon_D_pnotp. % 23.54/23.79 exact zenon_H2d7. % 23.54/23.79 cut (((op2 (e21) (e21)) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H225]. % 23.54/23.79 cut (((op2 (e21) (e21)) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H2d8]. % 23.54/23.79 congruence. % 23.54/23.79 cut (((e20) = (op2 (e23) (e23))) = ((op2 (e21) (e21)) = (op2 (e23) (e23)))). % 23.54/23.79 intro zenon_D_pnotp. % 23.54/23.79 apply zenon_H2d8. % 23.54/23.79 rewrite <- zenon_D_pnotp. % 23.54/23.79 exact zenon_H14. % 23.54/23.79 cut (((op2 (e23) (e23)) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H156]. % 23.54/23.79 cut (((e20) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H2d9]. % 23.54/23.79 congruence. % 23.54/23.79 elim (classic ((op2 (e21) (e21)) = (op2 (e21) (e21)))); [ zenon_intro zenon_H2d7 | zenon_intro zenon_H225 ]. % 23.54/23.79 cut (((op2 (e21) (e21)) = (op2 (e21) (e21))) = ((e20) = (op2 (e21) (e21)))). % 23.54/23.79 intro zenon_D_pnotp. % 23.54/23.79 apply zenon_H2d9. % 23.54/23.79 rewrite <- zenon_D_pnotp. % 23.54/23.79 exact zenon_H2d7. % 23.54/23.79 cut (((op2 (e21) (e21)) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H225]. % 23.54/23.79 cut (((op2 (e21) (e21)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H192]. % 23.54/23.79 congruence. % 23.54/23.79 exact (zenon_H192 zenon_H197). % 23.54/23.79 apply zenon_H225. apply refl_equal. % 23.54/23.79 apply zenon_H225. apply refl_equal. % 23.54/23.79 apply zenon_H156. apply refl_equal. % 23.54/23.79 apply zenon_H225. apply refl_equal. % 23.54/23.79 apply zenon_H225. apply refl_equal. % 23.54/23.79 (* end of lemma zenon_L269_ *) % 23.54/23.79 assert (zenon_L270_ : ((op2 (e22) (e21)) = (e20)) -> ((e20) = (op2 (e23) (e23))) -> ((op2 (e21) (e21)) = (e20)) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> False). % 23.54/23.79 do 0 intro. intros zenon_H2da zenon_H14 zenon_H197 zenon_H2db. % 23.54/23.79 elim (classic ((op2 (e22) (e21)) = (op2 (e22) (e21)))); [ zenon_intro zenon_H1e0 | zenon_intro zenon_H1e1 ]. % 23.54/23.79 cut (((op2 (e22) (e21)) = (op2 (e22) (e21))) = ((op2 (e21) (e21)) = (op2 (e22) (e21)))). % 23.54/23.79 intro zenon_D_pnotp. % 23.54/23.79 apply zenon_H2db. % 23.54/23.79 rewrite <- zenon_D_pnotp. % 23.54/23.79 exact zenon_H1e0. % 23.54/23.79 cut (((op2 (e22) (e21)) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H1e1]. % 23.54/23.79 cut (((op2 (e22) (e21)) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H2dc]. % 23.54/23.79 congruence. % 23.54/23.79 cut (((e20) = (op2 (e23) (e23))) = ((op2 (e22) (e21)) = (op2 (e21) (e21)))). % 23.54/23.79 intro zenon_D_pnotp. % 23.54/23.79 apply zenon_H2dc. % 23.54/23.79 rewrite <- zenon_D_pnotp. % 23.54/23.79 exact zenon_H14. % 23.54/23.79 cut (((op2 (e23) (e23)) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H2d6]. % 23.54/23.79 cut (((e20) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H2dd]. % 23.54/23.79 congruence. % 23.54/23.79 elim (classic ((op2 (e22) (e21)) = (op2 (e22) (e21)))); [ zenon_intro zenon_H1e0 | zenon_intro zenon_H1e1 ]. % 23.54/23.79 cut (((op2 (e22) (e21)) = (op2 (e22) (e21))) = ((e20) = (op2 (e22) (e21)))). % 23.54/23.79 intro zenon_D_pnotp. % 23.54/23.79 apply zenon_H2dd. % 23.54/23.79 rewrite <- zenon_D_pnotp. % 23.54/23.79 exact zenon_H1e0. % 23.54/23.79 cut (((op2 (e22) (e21)) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H1e1]. % 23.54/23.79 cut (((op2 (e22) (e21)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H2de]. % 23.54/23.79 congruence. % 23.54/23.79 exact (zenon_H2de zenon_H2da). % 23.54/23.79 apply zenon_H1e1. apply refl_equal. % 23.54/23.79 apply zenon_H1e1. apply refl_equal. % 23.54/23.79 apply (zenon_L269_); trivial. % 23.54/23.79 apply zenon_H1e1. apply refl_equal. % 23.54/23.79 apply zenon_H1e1. apply refl_equal. % 23.54/23.79 (* end of lemma zenon_L270_ *) % 23.54/23.79 assert (zenon_L271_ : ((e10) = (op1 (e13) (e13))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e13) (e13)) = (op1 (e10) (e10)))) -> False). % 23.54/23.79 do 0 intro. intros zenon_H28 zenon_H2e zenon_H2df. % 23.54/23.79 elim (classic ((op1 (e10) (e10)) = (op1 (e10) (e10)))); [ zenon_intro zenon_H50 | zenon_intro zenon_H51 ]. % 23.54/23.79 cut (((op1 (e10) (e10)) = (op1 (e10) (e10))) = ((op1 (e13) (e13)) = (op1 (e10) (e10)))). % 23.54/23.79 intro zenon_D_pnotp. % 23.54/23.79 apply zenon_H2df. % 23.54/23.79 rewrite <- zenon_D_pnotp. % 23.54/23.79 exact zenon_H50. % 23.54/23.79 cut (((op1 (e10) (e10)) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H51]. % 23.54/23.79 cut (((op1 (e10) (e10)) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2e0]. % 23.54/23.79 congruence. % 23.54/23.79 cut (((e10) = (op1 (e13) (e13))) = ((op1 (e10) (e10)) = (op1 (e13) (e13)))). % 23.54/23.79 intro zenon_D_pnotp. % 23.54/23.79 apply zenon_H2e0. % 23.54/23.79 rewrite <- zenon_D_pnotp. % 23.54/23.79 exact zenon_H28. % 23.54/23.79 cut (((op1 (e13) (e13)) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H55]. % 23.54/23.79 cut (((e10) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H2e1]. % 23.54/23.79 congruence. % 23.54/23.79 elim (classic ((op1 (e10) (e10)) = (op1 (e10) (e10)))); [ zenon_intro zenon_H50 | zenon_intro zenon_H51 ]. % 23.54/23.79 cut (((op1 (e10) (e10)) = (op1 (e10) (e10))) = ((e10) = (op1 (e10) (e10)))). % 23.54/23.79 intro zenon_D_pnotp. % 23.54/23.79 apply zenon_H2e1. % 23.54/23.79 rewrite <- zenon_D_pnotp. % 23.54/23.79 exact zenon_H50. % 23.54/23.79 cut (((op1 (e10) (e10)) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H51]. % 23.54/23.79 cut (((op1 (e10) (e10)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H43]. % 23.54/23.79 congruence. % 23.54/23.79 exact (zenon_H43 zenon_H2e). % 23.54/23.79 apply zenon_H51. apply refl_equal. % 23.54/23.79 apply zenon_H51. apply refl_equal. % 23.54/23.79 apply zenon_H55. apply refl_equal. % 23.54/23.79 apply zenon_H51. apply refl_equal. % 23.54/23.79 apply zenon_H51. apply refl_equal. % 23.54/23.79 (* end of lemma zenon_L271_ *) % 23.54/23.79 assert (zenon_L272_ : (~((op1 (e13) (e13)) = (op1 (e11) (e11)))) -> ((op1 (e10) (e10)) = (e10)) -> ((e10) = (op1 (e13) (e13))) -> ((op1 (e11) (e11)) = (e10)) -> False). % 23.54/23.79 do 0 intro. intros zenon_H2e2 zenon_H2e zenon_H28 zenon_H93. % 23.54/23.79 cut (((op1 (e10) (e10)) = (e10)) = ((op1 (e13) (e13)) = (op1 (e11) (e11)))). % 23.54/23.79 intro zenon_D_pnotp. % 23.54/23.79 apply zenon_H2e2. % 23.54/23.79 rewrite <- zenon_D_pnotp. % 23.54/23.79 exact zenon_H2e. % 23.54/23.79 cut (((e10) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H2e3]. % 23.54/23.79 cut (((op1 (e10) (e10)) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2e0]. % 23.54/23.79 congruence. % 23.54/23.79 elim (classic ((op1 (e13) (e13)) = (op1 (e13) (e13)))); [ zenon_intro zenon_Had | zenon_intro zenon_H55 ]. % 23.54/23.79 cut (((op1 (e13) (e13)) = (op1 (e13) (e13))) = ((op1 (e10) (e10)) = (op1 (e13) (e13)))). % 23.54/23.79 intro zenon_D_pnotp. % 23.54/23.79 apply zenon_H2e0. % 23.54/23.79 rewrite <- zenon_D_pnotp. % 23.54/23.79 exact zenon_Had. % 23.54/23.79 cut (((op1 (e13) (e13)) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H55]. % 23.54/23.79 cut (((op1 (e13) (e13)) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H2df]. % 23.54/23.79 congruence. % 23.54/23.79 apply (zenon_L271_); trivial. % 23.54/23.79 apply zenon_H55. apply refl_equal. % 23.54/23.79 apply zenon_H55. apply refl_equal. % 23.54/23.79 apply zenon_H2e3. apply sym_equal. exact zenon_H93. % 23.54/23.79 (* end of lemma zenon_L272_ *) % 23.54/23.79 assert (zenon_L273_ : ((op1 (e12) (e11)) = (e10)) -> ((op1 (e11) (e11)) = (e10)) -> ((op1 (e10) (e10)) = (e10)) -> ((e10) = (op1 (e13) (e13))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> False). % 23.54/23.79 do 0 intro. intros zenon_H2e4 zenon_H93 zenon_H2e zenon_H28 zenon_H2e5. % 23.54/23.79 elim (classic ((op1 (e12) (e11)) = (op1 (e12) (e11)))); [ zenon_intro zenon_Hde | zenon_intro zenon_Hdf ]. % 23.54/23.79 cut (((op1 (e12) (e11)) = (op1 (e12) (e11))) = ((op1 (e11) (e11)) = (op1 (e12) (e11)))). % 23.54/23.79 intro zenon_D_pnotp. % 23.54/23.79 apply zenon_H2e5. % 23.54/23.79 rewrite <- zenon_D_pnotp. % 23.54/23.79 exact zenon_Hde. % 23.54/23.79 cut (((op1 (e12) (e11)) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_Hdf]. % 23.54/23.79 cut (((op1 (e12) (e11)) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H2e6]. % 23.54/23.79 congruence. % 23.54/23.79 cut (((e10) = (op1 (e13) (e13))) = ((op1 (e12) (e11)) = (op1 (e11) (e11)))). % 23.54/23.79 intro zenon_D_pnotp. % 23.54/23.79 apply zenon_H2e6. % 23.54/23.79 rewrite <- zenon_D_pnotp. % 23.54/23.79 exact zenon_H28. % 23.54/23.79 cut (((op1 (e13) (e13)) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H2e2]. % 23.54/23.79 cut (((e10) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H2e7]. % 23.54/23.79 congruence. % 23.54/23.79 elim (classic ((op1 (e12) (e11)) = (op1 (e12) (e11)))); [ zenon_intro zenon_Hde | zenon_intro zenon_Hdf ]. % 23.54/23.79 cut (((op1 (e12) (e11)) = (op1 (e12) (e11))) = ((e10) = (op1 (e12) (e11)))). % 23.54/23.79 intro zenon_D_pnotp. % 23.54/23.79 apply zenon_H2e7. % 23.54/23.79 rewrite <- zenon_D_pnotp. % 23.54/23.79 exact zenon_Hde. % 23.54/23.79 cut (((op1 (e12) (e11)) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_Hdf]. % 23.54/23.79 cut (((op1 (e12) (e11)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H2e8]. % 23.54/23.79 congruence. % 23.54/23.79 exact (zenon_H2e8 zenon_H2e4). % 23.54/23.79 apply zenon_Hdf. apply refl_equal. % 23.54/23.79 apply zenon_Hdf. apply refl_equal. % 23.54/23.79 apply (zenon_L272_); trivial. % 23.54/23.79 apply zenon_Hdf. apply refl_equal. % 23.54/23.79 apply zenon_Hdf. apply refl_equal. % 23.54/23.79 (* end of lemma zenon_L273_ *) % 23.54/23.79 assert (zenon_L274_ : (~((h4 (op1 (e12) (e11))) = (op2 (h4 (e12)) (h4 (e11))))) -> ((h4 (e13)) = (e23)) -> ((op1 (e12) (e11)) = (e13)) -> ((op2 (e22) (e21)) = (e23)) -> ((h4 (e12)) = (op2 (op2 (e23) (e23)) (e23))) -> ((e22) = (op2 (op2 (e23) (e23)) (e23))) -> ((h4 (e11)) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> ((e21) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> False). % 23.54/23.79 do 0 intro. intros zenon_H2e9 zenon_H26d zenon_H2ea zenon_H2eb zenon_H26a zenon_H14e zenon_H238 zenon_H189. % 23.54/23.79 cut (((h4 (e13)) = (e23)) = ((h4 (op1 (e12) (e11))) = (op2 (h4 (e12)) (h4 (e11))))). % 23.54/23.79 intro zenon_D_pnotp. % 23.54/23.79 apply zenon_H2e9. % 23.54/23.79 rewrite <- zenon_D_pnotp. % 23.54/23.79 exact zenon_H26d. % 23.54/23.79 cut (((e23) = (op2 (h4 (e12)) (h4 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H2ec]. % 23.54/23.79 cut (((h4 (e13)) = (h4 (op1 (e12) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H2ed]. % 23.54/23.79 congruence. % 23.54/23.79 elim (classic ((h4 (op1 (e12) (e11))) = (h4 (op1 (e12) (e11))))); [ zenon_intro zenon_H2ee | zenon_intro zenon_H2ef ]. % 23.54/23.79 cut (((h4 (op1 (e12) (e11))) = (h4 (op1 (e12) (e11)))) = ((h4 (e13)) = (h4 (op1 (e12) (e11))))). % 23.54/23.79 intro zenon_D_pnotp. % 23.54/23.79 apply zenon_H2ed. % 23.54/23.79 rewrite <- zenon_D_pnotp. % 23.54/23.79 exact zenon_H2ee. % 23.54/23.79 cut (((h4 (op1 (e12) (e11))) = (h4 (op1 (e12) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H2ef]. % 23.54/23.79 cut (((h4 (op1 (e12) (e11))) = (h4 (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2f0]. % 23.54/23.79 congruence. % 23.54/23.79 cut (((op1 (e12) (e11)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H2f1]. % 23.54/23.79 congruence. % 23.54/23.79 exact (zenon_H2f1 zenon_H2ea). % 23.54/23.79 apply zenon_H2ef. apply refl_equal. % 23.54/23.79 apply zenon_H2ef. apply refl_equal. % 23.54/23.79 elim (classic ((op2 (h4 (e12)) (h4 (e11))) = (op2 (h4 (e12)) (h4 (e11))))); [ zenon_intro zenon_H2f2 | zenon_intro zenon_H2f3 ]. % 23.54/23.79 cut (((op2 (h4 (e12)) (h4 (e11))) = (op2 (h4 (e12)) (h4 (e11)))) = ((e23) = (op2 (h4 (e12)) (h4 (e11))))). % 23.54/23.79 intro zenon_D_pnotp. % 23.54/23.79 apply zenon_H2ec. % 23.54/23.79 rewrite <- zenon_D_pnotp. % 23.54/23.79 exact zenon_H2f2. % 23.54/23.79 cut (((op2 (h4 (e12)) (h4 (e11))) = (op2 (h4 (e12)) (h4 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H2f3]. % 23.54/23.79 cut (((op2 (h4 (e12)) (h4 (e11))) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H2f4]. % 23.54/23.79 congruence. % 23.54/23.79 cut (((op2 (e22) (e21)) = (e23)) = ((op2 (h4 (e12)) (h4 (e11))) = (e23))). % 23.54/23.79 intro zenon_D_pnotp. % 23.54/23.79 apply zenon_H2f4. % 23.54/23.79 rewrite <- zenon_D_pnotp. % 23.54/23.79 exact zenon_H2eb. % 23.54/23.79 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H14b]. % 23.54/23.79 cut (((op2 (e22) (e21)) = (op2 (h4 (e12)) (h4 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H2f5]. % 23.54/23.79 congruence. % 23.54/23.79 elim (classic ((op2 (h4 (e12)) (h4 (e11))) = (op2 (h4 (e12)) (h4 (e11))))); [ zenon_intro zenon_H2f2 | zenon_intro zenon_H2f3 ]. % 23.54/23.79 cut (((op2 (h4 (e12)) (h4 (e11))) = (op2 (h4 (e12)) (h4 (e11)))) = ((op2 (e22) (e21)) = (op2 (h4 (e12)) (h4 (e11))))). % 23.54/23.79 intro zenon_D_pnotp. % 23.54/23.79 apply zenon_H2f5. % 23.54/23.79 rewrite <- zenon_D_pnotp. % 23.54/23.79 exact zenon_H2f2. % 23.54/23.79 cut (((op2 (h4 (e12)) (h4 (e11))) = (op2 (h4 (e12)) (h4 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H2f3]. % 23.54/23.79 cut (((op2 (h4 (e12)) (h4 (e11))) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H2f6]. % 23.54/23.79 congruence. % 23.54/23.79 cut (((h4 (e11)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H237]. % 23.54/23.79 cut (((h4 (e12)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H269]. % 23.54/23.79 congruence. % 23.54/23.79 apply (zenon_L201_); trivial. % 23.54/23.79 apply (zenon_L175_); trivial. % 23.54/23.79 apply zenon_H2f3. apply refl_equal. % 23.54/23.79 apply zenon_H2f3. apply refl_equal. % 23.54/23.79 apply zenon_H14b. apply refl_equal. % 23.54/23.79 apply zenon_H2f3. apply refl_equal. % 23.54/23.79 apply zenon_H2f3. apply refl_equal. % 23.54/23.79 (* end of lemma zenon_L274_ *) % 23.54/23.79 assert (zenon_L275_ : (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((e21) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> ((h4 (e11)) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> ((e22) = (op2 (op2 (e23) (e23)) (e23))) -> ((h4 (e12)) = (op2 (op2 (e23) (e23)) (e23))) -> ((op2 (e22) (e21)) = (e23)) -> ((h4 (e13)) = (e23)) -> (~((h4 (op1 (e12) (e11))) = (op2 (h4 (e12)) (h4 (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((op1 (e12) (e10)) = (e12)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((e11) = (op1 (op1 (op1 (e13) (e13)) (e13)) (e13))) -> ((e12) = (op1 (op1 (e13) (e13)) (e13))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (~((op1 (e12) (e12)) = (e13))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e12) (e12)) = (e11))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((e10) = (op1 (e13) (e13))) -> False). % 23.54/23.79 do 0 intro. intros zenon_H8f zenon_H62 zenon_H189 zenon_H238 zenon_H14e zenon_H26a zenon_H2eb zenon_H26d zenon_H2e9 zenon_Hc9 zenon_Hca zenon_Hdb zenon_H87 zenon_H4d zenon_H2e zenon_H2e5 zenon_H2f7 zenon_Hc3 zenon_Hc2 zenon_Hbf zenon_H6f zenon_Hc0 zenon_H8b zenon_H28. % 23.54/23.79 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H63 | zenon_intro zenon_H91 ]. % 23.54/23.79 apply (zenon_L18_); trivial. % 23.54/23.79 apply (zenon_or_s _ _ zenon_H91); [ zenon_intro zenon_H93 | zenon_intro zenon_H92 ]. % 23.54/23.79 apply (zenon_or_s _ _ zenon_H2f7); [ zenon_intro zenon_H2e4 | zenon_intro zenon_H2f8 ]. % 23.54/23.79 apply (zenon_L273_); trivial. % 23.54/23.79 apply (zenon_or_s _ _ zenon_H2f8); [ zenon_intro zenon_Hdc | zenon_intro zenon_H2f9 ]. % 23.54/23.79 apply (zenon_L48_); trivial. % 23.54/23.79 apply (zenon_or_s _ _ zenon_H2f9); [ zenon_intro zenon_Hcb | zenon_intro zenon_H2ea ]. % 23.54/23.79 apply (zenon_L45_); trivial. % 23.54/23.79 apply (zenon_L274_); trivial. % 23.54/23.79 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H82 | zenon_intro zenon_H8c ]. % 23.54/23.79 apply (zenon_L194_); trivial. % 23.54/23.79 apply (zenon_L27_); trivial. % 23.54/23.79 (* end of lemma zenon_L275_ *) % 23.54/23.79 assert (zenon_L276_ : ((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (e21))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e22)) = (e23))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> ((e20) = (op2 (e23) (e23))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((e21) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> ((e22) = (op2 (op2 (e23) (e23)) (e23))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((op2 (e22) (e20)) = (e22)) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (e11))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (e13) (e13))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((e11) = (op1 (op1 (op1 (e13) (e13)) (e13)) (e13))) -> ((e12) = (op1 (op1 (e13) (e13)) (e13))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((op1 (e12) (e10)) = (e12)) -> (~((h4 (op1 (e12) (e11))) = (op2 (h4 (e12)) (h4 (e11))))) -> ((h4 (e13)) = (e23)) -> ((h4 (e11)) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> ((h4 (e12)) = (op2 (op2 (e23) (e23)) (e23))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e22) (e21)) = (e23))))) -> ((op2 (e20) (e20)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12))) -> False). % 23.54/23.79 do 0 intro. intros zenon_H120 zenon_Hcf zenon_H191 zenon_H18d zenon_H171 zenon_H1c1 zenon_H1c4 zenon_H1c5 zenon_H1c2 zenon_H2db zenon_H14 zenon_H1dd zenon_H189 zenon_H14e zenon_H1cf zenon_H1d0 zenon_H8f zenon_H8b zenon_H6f zenon_Hbf zenon_Hc0 zenon_H2e5 zenon_H28 zenon_Hdb zenon_H87 zenon_H4d zenon_Hc9 zenon_Hca zenon_H2e9 zenon_H26d zenon_H238 zenon_H26a zenon_H2f7 zenon_H2e zenon_H62 zenon_H2fa zenon_H1a zenon_H164 zenon_Ha6 zenon_Hc8. % 23.54/23.79 apply (zenon_or_s _ _ zenon_H120); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H6d ]. % 23.54/23.79 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Ha5 ]. % 23.54/23.79 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_H165 | zenon_intro zenon_H195 ]. % 23.54/23.79 apply (zenon_L99_); trivial. % 23.54/23.79 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H197 | zenon_intro zenon_H196 ]. % 23.54/23.79 apply (zenon_or_s _ _ zenon_H2fa); [ zenon_intro zenon_H2da | zenon_intro zenon_H2fb ]. % 23.54/23.79 apply (zenon_L270_); trivial. % 23.54/23.79 apply (zenon_or_s _ _ zenon_H2fb); [ zenon_intro zenon_H1de | zenon_intro zenon_H2fc ]. % 23.54/23.79 apply (zenon_L130_); trivial. % 23.54/23.79 apply (zenon_or_s _ _ zenon_H2fc); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H2eb ]. % 23.54/23.79 apply (zenon_L127_); trivial. % 23.54/23.79 apply (zenon_L275_); trivial. % 23.54/23.79 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_H184 | zenon_intro zenon_H18e ]. % 23.54/23.79 apply (zenon_L190_); trivial. % 23.54/23.79 apply (zenon_L108_); trivial. % 23.54/23.79 apply (zenon_L35_); trivial. % 23.54/23.79 apply (zenon_L65_); trivial. % 23.54/23.79 (* end of lemma zenon_L276_ *) % 23.54/23.79 assert (zenon_L277_ : ((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((op2 (e20) (e20)) = (e20)) -> (((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e22) (e21)) = (e23))))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> ((h4 (e12)) = (op2 (op2 (e23) (e23)) (e23))) -> ((h4 (e11)) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> ((h4 (e13)) = (e23)) -> (~((h4 (op1 (e12) (e11))) = (op2 (h4 (e12)) (h4 (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e12)) = (e11))) -> ((op2 (e22) (e20)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((e22) = (op2 (op2 (e23) (e23)) (e23))) -> ((e21) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (e23) (e23))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (e23))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e22)) = (e21))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12))) -> ((e10) = (op1 (e13) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((e11) = (op1 (op1 (op1 (e13) (e13)) (e13)) (e13))) -> ((e12) = (op1 (op1 (e13) (e13)) (e13))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((e10) = (e11))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> ((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12))) -> False). % 23.54/23.79 do 0 intro. intros zenon_Hce zenon_H164 zenon_H1a zenon_H2fa zenon_H2f7 zenon_H26a zenon_H238 zenon_H26d zenon_H2e9 zenon_Hc9 zenon_Hdb zenon_H2e5 zenon_Hbf zenon_H1d0 zenon_H1cf zenon_H14e zenon_H189 zenon_H1dd zenon_H14 zenon_H2db zenon_H1c2 zenon_H1c5 zenon_H1c4 zenon_H1c1 zenon_H171 zenon_H18d zenon_H191 zenon_Hcf zenon_Hc8 zenon_H28 zenon_Ha6 zenon_Hbc zenon_H87 zenon_H4d zenon_Hc0 zenon_H9d zenon_H9a zenon_H8f zenon_H8b zenon_H7b zenon_H75 zenon_H6f zenon_H68 zenon_H96 zenon_H80 zenon_H86 zenon_H95 zenon_H2e zenon_H62 zenon_H94 zenon_H120. % 23.54/23.79 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_Hc1 | zenon_intro zenon_Hca ]. % 23.54/23.79 apply (zenon_L234_); trivial. % 23.54/23.79 apply (zenon_L276_); trivial. % 23.54/23.79 (* end of lemma zenon_L277_ *) % 23.54/23.79 assert (zenon_L278_ : ((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (e21))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e22)) = (e23))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> ((e20) = (op2 (e23) (e23))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((e21) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> ((e22) = (op2 (op2 (e23) (e23)) (e23))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((op2 (e22) (e20)) = (e22)) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((h4 (op1 (e12) (e11))) = (op2 (h4 (e12)) (h4 (e11))))) -> ((h4 (e13)) = (e23)) -> ((h4 (e11)) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> ((h4 (e12)) = (op2 (op2 (e23) (e23)) (e23))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e22) (e21)) = (e23))))) -> ((op2 (e20) (e20)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op1 (e12) (e11)) = (e12))) -> ((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12))) -> ((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12))) -> ((e10) = (op1 (e13) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((e11) = (op1 (op1 (op1 (e13) (e13)) (e13)) (e13))) -> ((e12) = (op1 (op1 (e13) (e13)) (e13))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((e10) = (e11))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> ((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12))) -> False). % 23.54/23.79 do 0 intro. intros zenon_Hce zenon_Hcf zenon_H191 zenon_H18d zenon_H171 zenon_H1c1 zenon_H1c4 zenon_H1c5 zenon_H1c2 zenon_H2db zenon_H14 zenon_H1dd zenon_H189 zenon_H14e zenon_H1cf zenon_H1d0 zenon_H2e5 zenon_Hdb zenon_Hc9 zenon_H2e9 zenon_H26d zenon_H238 zenon_H26a zenon_H2f7 zenon_H2fa zenon_H1a zenon_H164 zenon_H28b zenon_Hd1 zenon_Hc8 zenon_H28 zenon_Ha6 zenon_Hbc zenon_H87 zenon_H4d zenon_Hc0 zenon_H9d zenon_H9a zenon_H8f zenon_H8b zenon_H7b zenon_H75 zenon_H6f zenon_H68 zenon_H96 zenon_H80 zenon_H86 zenon_H95 zenon_H2e zenon_H62 zenon_H94 zenon_H120. % 23.54/23.79 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_Hc1 | zenon_intro zenon_Hca ]. % 23.54/23.79 apply (zenon_L234_); trivial. % 23.54/23.79 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hcb ]. % 23.54/23.79 apply (zenon_L276_); trivial. % 23.54/23.79 exact (zenon_H28b zenon_Hcb). % 23.54/23.79 (* end of lemma zenon_L278_ *) % 23.54/23.79 assert (zenon_L279_ : ((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12)))) -> ((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12))) -> ((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((op2 (e20) (e20)) = (e20)) -> (((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e22) (e21)) = (e23))))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> ((h4 (e12)) = (op2 (op2 (e23) (e23)) (e23))) -> ((h4 (e11)) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> ((h4 (e13)) = (e23)) -> (~((h4 (op1 (e12) (e11))) = (op2 (h4 (e12)) (h4 (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> ((op2 (e22) (e20)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((e22) = (op2 (op2 (e23) (e23)) (e23))) -> ((e21) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (e23) (e23))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (e23))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e22)) = (e21))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12))) -> ((e10) = (op1 (e13) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((e11) = (op1 (op1 (op1 (e13) (e13)) (e13)) (e13))) -> ((e12) = (op1 (op1 (e13) (e13)) (e13))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((e10) = (e11))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> ((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12))) -> ((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (e11))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> False). % 23.54/23.79 do 0 intro. intros zenon_H28c zenon_Hd1 zenon_Hce zenon_H164 zenon_H1a zenon_H2fa zenon_H2f7 zenon_H26a zenon_H238 zenon_H26d zenon_H2e9 zenon_Hc9 zenon_Hdb zenon_H2e5 zenon_H1d0 zenon_H1cf zenon_H14e zenon_H189 zenon_H1dd zenon_H14 zenon_H2db zenon_H1c2 zenon_H1c5 zenon_H1c4 zenon_H1c1 zenon_H171 zenon_H18d zenon_H191 zenon_Hcf zenon_Hc8 zenon_H28 zenon_Ha6 zenon_Hbc zenon_H87 zenon_H4d zenon_Hc0 zenon_H9d zenon_H9a zenon_H8f zenon_H8b zenon_H7b zenon_H75 zenon_H6f zenon_H68 zenon_H96 zenon_H80 zenon_H86 zenon_H95 zenon_H62 zenon_H94 zenon_H120 zenon_H9e zenon_H5c zenon_H4c zenon_H5b zenon_H53 zenon_H5a zenon_Hb1 zenon_Hb4. % 23.54/23.79 apply (zenon_or_s _ _ zenon_H28c); [ zenon_intro zenon_Hbf | zenon_intro zenon_H28b ]. % 23.54/23.79 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H2e | zenon_intro zenon_Hb5 ]. % 23.54/23.79 apply (zenon_L277_); trivial. % 23.54/23.79 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_H99 | zenon_intro zenon_Hb6 ]. % 23.54/23.79 exact (zenon_H96 zenon_H99). % 23.54/23.79 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_H6d | zenon_intro zenon_Ha0 ]. % 23.54/23.79 apply (zenon_L33_); trivial. % 23.54/23.79 apply (zenon_L37_); trivial. % 23.54/23.79 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H2e | zenon_intro zenon_Hb5 ]. % 23.54/23.79 apply (zenon_L278_); trivial. % 23.54/23.79 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_H99 | zenon_intro zenon_Hb6 ]. % 23.54/23.79 exact (zenon_H96 zenon_H99). % 23.54/23.79 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_H6d | zenon_intro zenon_Ha0 ]. % 23.54/23.79 apply (zenon_L33_); trivial. % 23.54/23.79 apply (zenon_L37_); trivial. % 23.54/23.79 (* end of lemma zenon_L279_ *) % 23.54/23.79 assert (zenon_L280_ : ((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12)))) -> ((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12))) -> ((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((op2 (e20) (e20)) = (e20)) -> (((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e22) (e21)) = (e23))))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> ((h4 (e12)) = (op2 (op2 (e23) (e23)) (e23))) -> ((h4 (e11)) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> ((h4 (e13)) = (e23)) -> (~((h4 (op1 (e12) (e11))) = (op2 (h4 (e12)) (h4 (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> ((op2 (e22) (e20)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((e22) = (op2 (op2 (e23) (e23)) (e23))) -> ((e21) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (e23) (e23))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (e23))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e22)) = (e21))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12))) -> ((e10) = (op1 (e13) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((e11) = (op1 (op1 (op1 (e13) (e13)) (e13)) (e13))) -> ((e12) = (op1 (op1 (e13) (e13)) (e13))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((e10) = (e11))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> ((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12))) -> ((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10))) -> ((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e10) (e11)) = (e10))) -> ((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> False). % 23.54/23.79 do 0 intro. intros zenon_H28c zenon_Hd1 zenon_Hce zenon_H164 zenon_H1a zenon_H2fa zenon_H2f7 zenon_H26a zenon_H238 zenon_H26d zenon_H2e9 zenon_Hc9 zenon_Hdb zenon_H2e5 zenon_H1d0 zenon_H1cf zenon_H14e zenon_H189 zenon_H1dd zenon_H14 zenon_H2db zenon_H1c2 zenon_H1c5 zenon_H1c4 zenon_H1c1 zenon_H171 zenon_H18d zenon_H191 zenon_Hcf zenon_Hc8 zenon_H28 zenon_Ha6 zenon_Hbc zenon_H87 zenon_H4d zenon_Hc0 zenon_H9d zenon_H9a zenon_H8f zenon_H8b zenon_H7b zenon_H75 zenon_H6f zenon_H68 zenon_H96 zenon_H80 zenon_H86 zenon_H95 zenon_H62 zenon_H94 zenon_H120 zenon_H9e zenon_H5a zenon_H53 zenon_H4c zenon_H5c zenon_Hb7 zenon_Hb8 zenon_Hb1 zenon_Hb4. % 23.54/23.79 apply (zenon_or_s _ _ zenon_H28c); [ zenon_intro zenon_Hbf | zenon_intro zenon_H28b ]. % 23.54/23.79 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H2e | zenon_intro zenon_Hb5 ]. % 23.54/23.79 apply (zenon_L277_); trivial. % 23.54/23.79 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_H99 | zenon_intro zenon_Hb6 ]. % 23.54/23.79 exact (zenon_H96 zenon_H99). % 23.54/23.79 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_H6d | zenon_intro zenon_Ha0 ]. % 23.54/23.79 apply (zenon_L39_); trivial. % 23.54/23.79 apply (zenon_L37_); trivial. % 23.54/23.79 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H2e | zenon_intro zenon_Hb5 ]. % 23.54/23.79 apply (zenon_L278_); trivial. % 23.54/23.79 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_H99 | zenon_intro zenon_Hb6 ]. % 23.54/23.79 exact (zenon_H96 zenon_H99). % 23.54/23.79 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_H6d | zenon_intro zenon_Ha0 ]. % 23.54/23.79 apply (zenon_L39_); trivial. % 23.54/23.79 apply (zenon_L37_); trivial. % 23.54/23.79 (* end of lemma zenon_L280_ *) % 23.54/23.79 assert (zenon_L281_ : ((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10)))) -> ((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10))) -> ((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12)))) -> ((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12))) -> ((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((op2 (e20) (e20)) = (e20)) -> (((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e22) (e21)) = (e23))))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> ((h4 (e12)) = (op2 (op2 (e23) (e23)) (e23))) -> ((h4 (e11)) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> ((h4 (e13)) = (e23)) -> (~((h4 (op1 (e12) (e11))) = (op2 (h4 (e12)) (h4 (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> ((op2 (e22) (e20)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((e22) = (op2 (op2 (e23) (e23)) (e23))) -> ((e21) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (e23) (e23))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (e23))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e22)) = (e21))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12))) -> ((e10) = (op1 (e13) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((e11) = (op1 (op1 (op1 (e13) (e13)) (e13)) (e13))) -> ((e12) = (op1 (op1 (e13) (e13)) (e13))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((e11) = (e12))) -> (~((e10) = (e11))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> ((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12))) -> ((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11)))) -> False). % 23.54/23.79 do 0 intro. intros zenon_Hba zenon_Hb8 zenon_H28c zenon_Hd1 zenon_Hce zenon_H164 zenon_H1a zenon_H2fa zenon_H2f7 zenon_H26a zenon_H238 zenon_H26d zenon_H2e9 zenon_Hc9 zenon_Hdb zenon_H2e5 zenon_H1d0 zenon_H1cf zenon_H14e zenon_H189 zenon_H1dd zenon_H14 zenon_H2db zenon_H1c2 zenon_H1c5 zenon_H1c4 zenon_H1c1 zenon_H171 zenon_H18d zenon_H191 zenon_Hcf zenon_Hc8 zenon_H28 zenon_Ha6 zenon_Hbc zenon_H87 zenon_H4d zenon_Hc0 zenon_H9d zenon_H9a zenon_H8f zenon_H8b zenon_H7b zenon_H75 zenon_H6f zenon_H68 zenon_H80 zenon_H86 zenon_H95 zenon_H62 zenon_H94 zenon_H120 zenon_H9e zenon_H5c zenon_H4c zenon_H53 zenon_H5a zenon_Hb1 zenon_Hb4 zenon_Hbb. % 23.54/23.79 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H5b | zenon_intro zenon_Hb7 ]. % 23.54/23.79 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H96 | zenon_intro zenon_H96 ]. % 23.54/23.79 apply (zenon_L279_); trivial. % 23.54/23.79 apply (zenon_L279_); trivial. % 23.54/23.79 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H96 | zenon_intro zenon_H96 ]. % 23.54/23.79 apply (zenon_L280_); trivial. % 23.54/23.79 apply (zenon_L280_); trivial. % 23.54/23.79 (* end of lemma zenon_L281_ *) % 23.54/23.79 assert (zenon_L282_ : ((~((op2 (e22) (e22)) = (e20)))\/((op2 (e22) (e20)) = (e22))) -> ((e10) = (op1 (e13) (e13))) -> ((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> ((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10))) -> ((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((e10) = (e11))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((e12) = (op1 (op1 (e13) (e13)) (e13))) -> ((e11) = (op1 (op1 (op1 (e13) (e13)) (e13)) (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op2 (e22) (e22)) = (e21))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((h4 (op1 (e12) (e11))) = (op2 (h4 (e12)) (h4 (e11))))) -> ((h4 (e13)) = (e23)) -> ((h4 (e11)) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> ((h4 (e12)) = (op2 (op2 (e23) (e23)) (e23))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e22) (e21)) = (e23))))) -> ((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12))) -> ((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12))) -> ((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> ((((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e11) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e11) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e11) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e12) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e12) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e12) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e13) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e13) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e13) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))\/(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))))))))))))))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((~((op2 (e22) (e22)) = (e23)))\/((op2 (e22) (e23)) = (e22))) -> ((e20) = (op2 (e23) (e23))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((e21) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> ((e22) = (op2 (op2 (e23) (e23)) (e23))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> ((~((op2 (e21) (e21)) = (e20)))\/((op2 (e21) (e20)) = (e21))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((e21) = (e22))) -> (~((op2 (e21) (e21)) = (e21))) -> (~((e20) = (e21))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> ((op2 (e20) (e20)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((~((op2 (e21) (e21)) = (e22)))\/((op2 (e21) (e22)) = (e21))) -> ((~((op2 (e22) (e22)) = (e22)))\/((op2 (e22) (e22)) = (e22))) -> False). % 23.54/23.79 do 0 intro. intros zenon_H1d3 zenon_H28 zenon_H27 zenon_Hb4 zenon_Hb1 zenon_H5a zenon_H53 zenon_H4c zenon_H5c zenon_H9e zenon_H120 zenon_H94 zenon_H62 zenon_H95 zenon_H86 zenon_H80 zenon_H68 zenon_H6f zenon_H75 zenon_H7b zenon_H8b zenon_H8f zenon_H9a zenon_H9d zenon_Hc0 zenon_H4d zenon_H87 zenon_Hbc zenon_Ha6 zenon_Hc8 zenon_Hcf zenon_H1c1 zenon_H2db zenon_H1dd zenon_H1cf zenon_H2e5 zenon_Hdb zenon_Hc9 zenon_H2e9 zenon_H26d zenon_H238 zenon_H26a zenon_H2f7 zenon_H2fa zenon_Hce zenon_Hd1 zenon_Hb8 zenon_He7 zenon_Heb zenon_H10f zenon_H112 zenon_H11a zenon_Hfe zenon_Hf9 zenon_Hf3 zenon_H11d zenon_H107 zenon_H101 zenon_H121 zenon_H12f zenon_H12c zenon_H132 zenon_H135 zenon_H1cb zenon_H1ca zenon_H14 zenon_H1a8 zenon_H1be zenon_H189 zenon_H14e zenon_H1c2 zenon_H19f zenon_H19b zenon_H191 zenon_H18d zenon_H17d zenon_H177 zenon_H171 zenon_H16a zenon_H193 zenon_H182 zenon_H188 zenon_H194 zenon_H1a zenon_H164 zenon_H19e zenon_H222. % 23.54/23.79 apply (zenon_or_s _ _ zenon_H1d3); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H1d0 ]. % 23.54/23.79 apply (zenon_L233_); trivial. % 23.54/23.79 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H16f ]. % 23.54/23.79 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H1a7 ]. % 23.54/23.79 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H2c | zenon_intro zenon_H136 ]. % 23.54/23.79 apply (zenon_L7_); trivial. % 23.54/23.79 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H34 | zenon_intro zenon_H137 ]. % 23.54/23.79 apply (zenon_L8_); trivial. % 23.54/23.79 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H36 | zenon_intro zenon_H138 ]. % 23.54/23.79 apply (zenon_L9_); trivial. % 23.54/23.79 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H38 | zenon_intro zenon_H139 ]. % 23.54/23.79 apply (zenon_L10_); trivial. % 23.54/23.79 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H13b | zenon_intro zenon_H13a ]. % 23.54/23.79 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_H63. zenon_intro zenon_H13c. % 23.54/23.79 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_Hba. zenon_intro zenon_H13d. % 23.54/23.79 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_Hbb. zenon_intro zenon_H13e. % 23.54/23.79 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_H28c. zenon_intro zenon_H28e. % 23.54/23.79 apply (zenon_L281_); trivial. % 23.54/23.79 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H140 | zenon_intro zenon_H13f ]. % 23.54/23.79 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H99. zenon_intro zenon_H13c. % 23.54/23.79 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_Hba. zenon_intro zenon_H13d. % 23.54/23.79 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_Hbb. zenon_intro zenon_H13e. % 23.54/23.79 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_H28c. zenon_intro zenon_H28e. % 23.54/23.79 apply (zenon_L281_); trivial. % 23.54/23.79 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H142 | zenon_intro zenon_H141 ]. % 23.54/23.79 apply (zenon_and_s _ _ zenon_H142). zenon_intro zenon_H6e. zenon_intro zenon_H13c. % 23.54/23.79 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_Hba. zenon_intro zenon_H13d. % 23.54/23.79 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_Hbb. zenon_intro zenon_H13e. % 23.54/23.79 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_H28c. zenon_intro zenon_H28e. % 23.54/23.79 apply (zenon_L281_); trivial. % 23.54/23.79 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H144 | zenon_intro zenon_H143 ]. % 23.54/23.79 apply (zenon_and_s _ _ zenon_H144). zenon_intro zenon_He4. zenon_intro zenon_H13c. % 23.54/23.79 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_Hba. zenon_intro zenon_H13d. % 23.54/23.79 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_Hbb. zenon_intro zenon_H13e. % 23.54/23.79 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_H28c. zenon_intro zenon_H28e. % 23.54/23.79 apply (zenon_L281_); trivial. % 23.54/23.79 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H145 ]. % 23.54/23.79 apply (zenon_L47_); trivial. % 23.54/23.79 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_He1 | zenon_intro zenon_H146 ]. % 23.54/23.79 apply (zenon_L49_); trivial. % 23.54/23.79 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_He2 | zenon_intro zenon_H147 ]. % 23.54/23.79 apply (zenon_L50_); trivial. % 23.54/23.79 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_Hea | zenon_intro zenon_H148 ]. % 23.54/23.79 apply (zenon_L53_); trivial. % 23.54/23.79 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H149 ]. % 23.54/23.79 apply (zenon_L55_); trivial. % 23.54/23.79 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H124 | zenon_intro zenon_H14a ]. % 23.54/23.79 apply (zenon_L78_); trivial. % 23.54/23.79 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_H133 | zenon_intro zenon_H134 ]. % 23.54/23.79 apply (zenon_L91_); trivial. % 23.54/23.79 apply (zenon_L92_); trivial. % 23.54/23.79 apply (zenon_L116_); trivial. % 23.54/23.79 apply (zenon_L147_); trivial. % 23.54/23.79 (* end of lemma zenon_L282_ *) % 23.54/23.80 assert (zenon_L283_ : ((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((op2 (e20) (e20)) = (e20)) -> (((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e22) (e21)) = (e23))))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> ((h4 (e12)) = (op2 (op2 (e23) (e23)) (e23))) -> ((h4 (e11)) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> ((h4 (e13)) = (e23)) -> (~((h4 (op1 (e12) (e11))) = (op2 (h4 (e12)) (h4 (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e12)) = (e11))) -> (~((op2 (e22) (e21)) = (e22))) -> ((e22) = (op2 (op2 (e23) (e23)) (e23))) -> ((e21) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (e23) (e23))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (e23))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e22)) = (e21))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12))) -> ((e10) = (op1 (e13) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((e11) = (op1 (op1 (op1 (e13) (e13)) (e13)) (e13))) -> ((e12) = (op1 (op1 (e13) (e13)) (e13))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((e10) = (e11))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> ((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12))) -> False). % 23.54/23.80 do 0 intro. intros zenon_Hce zenon_H164 zenon_H1a zenon_H2fa zenon_H2f7 zenon_H26a zenon_H238 zenon_H26d zenon_H2e9 zenon_Hc9 zenon_Hdb zenon_H2e5 zenon_Hbf zenon_H28f zenon_H14e zenon_H189 zenon_H1dd zenon_H14 zenon_H2db zenon_H1c2 zenon_H1c5 zenon_H1c4 zenon_H1c1 zenon_H171 zenon_H18d zenon_H191 zenon_Hcf zenon_Hc8 zenon_H28 zenon_Ha6 zenon_Hbc zenon_H87 zenon_H4d zenon_Hc0 zenon_H9d zenon_H9a zenon_H8f zenon_H8b zenon_H7b zenon_H75 zenon_H6f zenon_H68 zenon_H96 zenon_H80 zenon_H86 zenon_H95 zenon_H2e zenon_H62 zenon_H94 zenon_H120. % 23.54/23.80 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_Hc1 | zenon_intro zenon_Hca ]. % 23.54/23.80 apply (zenon_L234_); trivial. % 23.54/23.80 apply (zenon_or_s _ _ zenon_H120); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H6d ]. % 23.54/23.80 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Ha5 ]. % 23.54/23.80 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_H165 | zenon_intro zenon_H195 ]. % 23.54/23.80 apply (zenon_L99_); trivial. % 23.54/23.80 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H197 | zenon_intro zenon_H196 ]. % 23.54/23.80 apply (zenon_or_s _ _ zenon_H2fa); [ zenon_intro zenon_H2da | zenon_intro zenon_H2fb ]. % 23.54/23.80 apply (zenon_L270_); trivial. % 23.54/23.80 apply (zenon_or_s _ _ zenon_H2fb); [ zenon_intro zenon_H1de | zenon_intro zenon_H2fc ]. % 23.54/23.80 apply (zenon_L130_); trivial. % 23.54/23.80 apply (zenon_or_s _ _ zenon_H2fc); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H2eb ]. % 23.54/23.80 exact (zenon_H28f zenon_H1d1). % 23.54/23.80 apply (zenon_L275_); trivial. % 23.54/23.80 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_H184 | zenon_intro zenon_H18e ]. % 23.54/23.80 apply (zenon_L190_); trivial. % 23.54/23.80 apply (zenon_L108_); trivial. % 23.54/23.80 apply (zenon_L35_); trivial. % 23.54/23.80 apply (zenon_L65_); trivial. % 23.54/23.80 (* end of lemma zenon_L283_ *) % 23.54/23.80 assert (zenon_L284_ : (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((e21) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> ((h4 (e11)) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> ((e22) = (op2 (op2 (e23) (e23)) (e23))) -> ((h4 (e12)) = (op2 (op2 (e23) (e23)) (e23))) -> ((op2 (e22) (e21)) = (e23)) -> ((h4 (e13)) = (e23)) -> (~((h4 (op1 (e12) (e11))) = (op2 (h4 (e12)) (h4 (e11))))) -> (~((op1 (e12) (e11)) = (e12))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((e11) = (op1 (op1 (op1 (e13) (e13)) (e13)) (e13))) -> ((e12) = (op1 (op1 (e13) (e13)) (e13))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (~((op1 (e12) (e12)) = (e13))) -> (~((op1 (e12) (e12)) = (e12))) -> (~((op1 (e12) (e12)) = (e11))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((e10) = (op1 (e13) (e13))) -> False). % 23.54/23.80 do 0 intro. intros zenon_H8f zenon_H62 zenon_H189 zenon_H238 zenon_H14e zenon_H26a zenon_H2eb zenon_H26d zenon_H2e9 zenon_H28b zenon_Hdb zenon_H87 zenon_H4d zenon_H2e zenon_H2e5 zenon_H2f7 zenon_Hc3 zenon_Hc2 zenon_Hbf zenon_H6f zenon_Hc0 zenon_H8b zenon_H28. % 23.54/23.80 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H63 | zenon_intro zenon_H91 ]. % 23.54/23.80 apply (zenon_L18_); trivial. % 23.54/23.80 apply (zenon_or_s _ _ zenon_H91); [ zenon_intro zenon_H93 | zenon_intro zenon_H92 ]. % 23.54/23.80 apply (zenon_or_s _ _ zenon_H2f7); [ zenon_intro zenon_H2e4 | zenon_intro zenon_H2f8 ]. % 23.54/23.80 apply (zenon_L273_); trivial. % 23.54/23.80 apply (zenon_or_s _ _ zenon_H2f8); [ zenon_intro zenon_Hdc | zenon_intro zenon_H2f9 ]. % 23.54/23.80 apply (zenon_L48_); trivial. % 23.54/23.80 apply (zenon_or_s _ _ zenon_H2f9); [ zenon_intro zenon_Hcb | zenon_intro zenon_H2ea ]. % 23.54/23.80 exact (zenon_H28b zenon_Hcb). % 23.54/23.80 apply (zenon_L274_); trivial. % 23.54/23.80 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H82 | zenon_intro zenon_H8c ]. % 23.54/23.80 apply (zenon_L194_); trivial. % 23.54/23.80 apply (zenon_L27_); trivial. % 23.54/23.80 (* end of lemma zenon_L284_ *) % 23.54/23.80 assert (zenon_L285_ : ((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (e21))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e22)) = (e23))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> ((e20) = (op2 (e23) (e23))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((e21) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> ((e22) = (op2 (op2 (e23) (e23)) (e23))) -> (~((op2 (e22) (e21)) = (e22))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e11)) = (e12))) -> (~((h4 (op1 (e12) (e11))) = (op2 (h4 (e12)) (h4 (e11))))) -> ((h4 (e13)) = (e23)) -> ((h4 (e11)) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> ((h4 (e12)) = (op2 (op2 (e23) (e23)) (e23))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e22) (e21)) = (e23))))) -> ((op2 (e20) (e20)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12))) -> ((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12))) -> ((e10) = (op1 (e13) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((e11) = (op1 (op1 (op1 (e13) (e13)) (e13)) (e13))) -> ((e12) = (op1 (op1 (e13) (e13)) (e13))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((e10) = (e11))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> ((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12))) -> False). % 23.54/23.80 do 0 intro. intros zenon_Hce zenon_Hcf zenon_H191 zenon_H18d zenon_H171 zenon_H1c1 zenon_H1c4 zenon_H1c5 zenon_H1c2 zenon_H2db zenon_H14 zenon_H1dd zenon_H189 zenon_H14e zenon_H28f zenon_H2e5 zenon_Hdb zenon_H28b zenon_H2e9 zenon_H26d zenon_H238 zenon_H26a zenon_H2f7 zenon_H2fa zenon_H1a zenon_H164 zenon_Hd1 zenon_Hc8 zenon_H28 zenon_Ha6 zenon_Hbc zenon_H87 zenon_H4d zenon_Hc0 zenon_H9d zenon_H9a zenon_H8f zenon_H8b zenon_H7b zenon_H75 zenon_H6f zenon_H68 zenon_H96 zenon_H80 zenon_H86 zenon_H95 zenon_H2e zenon_H62 zenon_H94 zenon_H120. % 23.54/23.80 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_Hc1 | zenon_intro zenon_Hca ]. % 23.54/23.80 apply (zenon_L234_); trivial. % 23.54/23.80 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hcb ]. % 23.54/23.80 apply (zenon_or_s _ _ zenon_H120); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H6d ]. % 23.54/23.80 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Ha5 ]. % 23.54/23.80 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_H165 | zenon_intro zenon_H195 ]. % 23.54/23.80 apply (zenon_L99_); trivial. % 23.54/23.80 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H197 | zenon_intro zenon_H196 ]. % 23.54/23.80 apply (zenon_or_s _ _ zenon_H2fa); [ zenon_intro zenon_H2da | zenon_intro zenon_H2fb ]. % 23.54/23.80 apply (zenon_L270_); trivial. % 23.54/23.80 apply (zenon_or_s _ _ zenon_H2fb); [ zenon_intro zenon_H1de | zenon_intro zenon_H2fc ]. % 23.54/23.80 apply (zenon_L130_); trivial. % 23.54/23.80 apply (zenon_or_s _ _ zenon_H2fc); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H2eb ]. % 23.54/23.80 exact (zenon_H28f zenon_H1d1). % 23.54/23.80 apply (zenon_L284_); trivial. % 23.54/23.80 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_H184 | zenon_intro zenon_H18e ]. % 23.54/23.80 apply (zenon_L190_); trivial. % 23.54/23.80 apply (zenon_L108_); trivial. % 23.54/23.80 apply (zenon_L35_); trivial. % 23.54/23.80 apply (zenon_L65_); trivial. % 23.54/23.80 exact (zenon_H28b zenon_Hcb). % 23.54/23.80 (* end of lemma zenon_L285_ *) % 23.54/23.80 assert (zenon_L286_ : ((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12)))) -> ((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12))) -> ((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((op2 (e20) (e20)) = (e20)) -> (((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e22) (e21)) = (e23))))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> ((h4 (e12)) = (op2 (op2 (e23) (e23)) (e23))) -> ((h4 (e11)) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> ((h4 (e13)) = (e23)) -> (~((h4 (op1 (e12) (e11))) = (op2 (h4 (e12)) (h4 (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op2 (e22) (e21)) = (e22))) -> ((e22) = (op2 (op2 (e23) (e23)) (e23))) -> ((e21) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (e23) (e23))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (e23))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e22)) = (e21))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12))) -> ((e10) = (op1 (e13) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((e11) = (op1 (op1 (op1 (e13) (e13)) (e13)) (e13))) -> ((e12) = (op1 (op1 (e13) (e13)) (e13))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((e10) = (e11))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> ((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12))) -> ((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (e11))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> False). % 23.54/23.80 do 0 intro. intros zenon_H28c zenon_Hd1 zenon_Hce zenon_H164 zenon_H1a zenon_H2fa zenon_H2f7 zenon_H26a zenon_H238 zenon_H26d zenon_H2e9 zenon_Hc9 zenon_Hdb zenon_H2e5 zenon_H28f zenon_H14e zenon_H189 zenon_H1dd zenon_H14 zenon_H2db zenon_H1c2 zenon_H1c5 zenon_H1c4 zenon_H1c1 zenon_H171 zenon_H18d zenon_H191 zenon_Hcf zenon_Hc8 zenon_H28 zenon_Ha6 zenon_Hbc zenon_H87 zenon_H4d zenon_Hc0 zenon_H9d zenon_H9a zenon_H8f zenon_H8b zenon_H7b zenon_H75 zenon_H6f zenon_H68 zenon_H96 zenon_H80 zenon_H86 zenon_H95 zenon_H62 zenon_H94 zenon_H120 zenon_H9e zenon_H5c zenon_H4c zenon_H5b zenon_H53 zenon_H5a zenon_Hb1 zenon_Hb4. % 23.54/23.80 apply (zenon_or_s _ _ zenon_H28c); [ zenon_intro zenon_Hbf | zenon_intro zenon_H28b ]. % 23.54/23.80 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H2e | zenon_intro zenon_Hb5 ]. % 23.54/23.80 apply (zenon_L283_); trivial. % 23.54/23.80 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_H99 | zenon_intro zenon_Hb6 ]. % 23.54/23.80 exact (zenon_H96 zenon_H99). % 23.54/23.80 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_H6d | zenon_intro zenon_Ha0 ]. % 23.54/23.80 apply (zenon_L33_); trivial. % 23.54/23.80 apply (zenon_L37_); trivial. % 23.54/23.80 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H2e | zenon_intro zenon_Hb5 ]. % 23.54/23.80 apply (zenon_L285_); trivial. % 23.54/23.80 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_H99 | zenon_intro zenon_Hb6 ]. % 23.54/23.80 exact (zenon_H96 zenon_H99). % 23.54/23.80 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_H6d | zenon_intro zenon_Ha0 ]. % 23.54/23.80 apply (zenon_L33_); trivial. % 23.54/23.80 apply (zenon_L37_); trivial. % 23.54/23.80 (* end of lemma zenon_L286_ *) % 23.54/23.80 assert (zenon_L287_ : ((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12)))) -> ((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12))) -> ((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((op2 (e20) (e20)) = (e20)) -> (((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e22) (e21)) = (e23))))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> ((h4 (e12)) = (op2 (op2 (e23) (e23)) (e23))) -> ((h4 (e11)) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> ((h4 (e13)) = (e23)) -> (~((h4 (op1 (e12) (e11))) = (op2 (h4 (e12)) (h4 (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op2 (e22) (e21)) = (e22))) -> ((e22) = (op2 (op2 (e23) (e23)) (e23))) -> ((e21) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (e23) (e23))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (e23))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e22)) = (e21))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12))) -> ((e10) = (op1 (e13) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((e11) = (op1 (op1 (op1 (e13) (e13)) (e13)) (e13))) -> ((e12) = (op1 (op1 (e13) (e13)) (e13))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((e10) = (e11))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> ((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12))) -> ((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10))) -> ((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e10) (e11)) = (e10))) -> ((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> False). % 23.54/23.80 do 0 intro. intros zenon_H28c zenon_Hd1 zenon_Hce zenon_H164 zenon_H1a zenon_H2fa zenon_H2f7 zenon_H26a zenon_H238 zenon_H26d zenon_H2e9 zenon_Hc9 zenon_Hdb zenon_H2e5 zenon_H28f zenon_H14e zenon_H189 zenon_H1dd zenon_H14 zenon_H2db zenon_H1c2 zenon_H1c5 zenon_H1c4 zenon_H1c1 zenon_H171 zenon_H18d zenon_H191 zenon_Hcf zenon_Hc8 zenon_H28 zenon_Ha6 zenon_Hbc zenon_H87 zenon_H4d zenon_Hc0 zenon_H9d zenon_H9a zenon_H8f zenon_H8b zenon_H7b zenon_H75 zenon_H6f zenon_H68 zenon_H96 zenon_H80 zenon_H86 zenon_H95 zenon_H62 zenon_H94 zenon_H120 zenon_H9e zenon_H5a zenon_H53 zenon_H4c zenon_H5c zenon_Hb7 zenon_Hb8 zenon_Hb1 zenon_Hb4. % 23.54/23.80 apply (zenon_or_s _ _ zenon_H28c); [ zenon_intro zenon_Hbf | zenon_intro zenon_H28b ]. % 23.54/23.80 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H2e | zenon_intro zenon_Hb5 ]. % 23.54/23.80 apply (zenon_L283_); trivial. % 23.54/23.80 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_H99 | zenon_intro zenon_Hb6 ]. % 23.54/23.80 exact (zenon_H96 zenon_H99). % 23.54/23.80 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_H6d | zenon_intro zenon_Ha0 ]. % 23.54/23.80 apply (zenon_L39_); trivial. % 23.54/23.80 apply (zenon_L37_); trivial. % 23.54/23.80 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H2e | zenon_intro zenon_Hb5 ]. % 23.54/23.80 apply (zenon_L285_); trivial. % 23.54/23.80 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_H99 | zenon_intro zenon_Hb6 ]. % 23.54/23.80 exact (zenon_H96 zenon_H99). % 23.54/23.80 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_H6d | zenon_intro zenon_Ha0 ]. % 23.54/23.80 apply (zenon_L39_); trivial. % 23.54/23.80 apply (zenon_L37_); trivial. % 23.54/23.80 (* end of lemma zenon_L287_ *) % 23.54/23.80 assert (zenon_L288_ : ((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10)))) -> ((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10))) -> ((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12)))) -> ((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12))) -> ((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((op2 (e20) (e20)) = (e20)) -> (((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e22) (e21)) = (e23))))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> ((h4 (e12)) = (op2 (op2 (e23) (e23)) (e23))) -> ((h4 (e11)) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> ((h4 (e13)) = (e23)) -> (~((h4 (op1 (e12) (e11))) = (op2 (h4 (e12)) (h4 (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op2 (e22) (e21)) = (e22))) -> ((e22) = (op2 (op2 (e23) (e23)) (e23))) -> ((e21) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (e23) (e23))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (e23))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e22)) = (e21))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12))) -> ((e10) = (op1 (e13) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((e11) = (op1 (op1 (op1 (e13) (e13)) (e13)) (e13))) -> ((e12) = (op1 (op1 (e13) (e13)) (e13))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((e11) = (e12))) -> (~((e10) = (e11))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> ((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12))) -> ((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11)))) -> False). % 23.54/23.80 do 0 intro. intros zenon_Hba zenon_Hb8 zenon_H28c zenon_Hd1 zenon_Hce zenon_H164 zenon_H1a zenon_H2fa zenon_H2f7 zenon_H26a zenon_H238 zenon_H26d zenon_H2e9 zenon_Hc9 zenon_Hdb zenon_H2e5 zenon_H28f zenon_H14e zenon_H189 zenon_H1dd zenon_H14 zenon_H2db zenon_H1c2 zenon_H1c5 zenon_H1c4 zenon_H1c1 zenon_H171 zenon_H18d zenon_H191 zenon_Hcf zenon_Hc8 zenon_H28 zenon_Ha6 zenon_Hbc zenon_H87 zenon_H4d zenon_Hc0 zenon_H9d zenon_H9a zenon_H8f zenon_H8b zenon_H7b zenon_H75 zenon_H6f zenon_H68 zenon_H80 zenon_H86 zenon_H95 zenon_H62 zenon_H94 zenon_H120 zenon_H9e zenon_H5c zenon_H4c zenon_H53 zenon_H5a zenon_Hb1 zenon_Hb4 zenon_Hbb. % 23.54/23.80 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H5b | zenon_intro zenon_Hb7 ]. % 23.54/23.80 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H96 | zenon_intro zenon_H96 ]. % 23.54/23.80 apply (zenon_L286_); trivial. % 23.54/23.80 apply (zenon_L286_); trivial. % 23.54/23.80 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H96 | zenon_intro zenon_H96 ]. % 23.54/23.80 apply (zenon_L287_); trivial. % 23.54/23.80 apply (zenon_L287_); trivial. % 23.54/23.80 (* end of lemma zenon_L288_ *) % 23.54/23.80 assert (zenon_L289_ : ((~((op2 (e22) (e22)) = (e20)))\/((op2 (e22) (e20)) = (e22))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e11) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e11) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e11) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e12) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e12) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e12) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e13) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e13) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e13) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))\/(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))))))))))))))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> ((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10))) -> ((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12))) -> ((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12))) -> (((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e22) (e21)) = (e23))))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> ((h4 (e12)) = (op2 (op2 (e23) (e23)) (e23))) -> ((h4 (e11)) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> ((h4 (e13)) = (e23)) -> (~((h4 (op1 (e12) (e11))) = (op2 (h4 (e12)) (h4 (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op2 (e22) (e21)) = (e22))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((e11) = (op1 (op1 (op1 (e13) (e13)) (e13)) (e13))) -> ((e12) = (op1 (op1 (e13) (e13)) (e13))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((e11) = (e12))) -> (~((e10) = (e11))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> ((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12))) -> ((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> ((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))) -> ((e10) = (op1 (e13) (e13))) -> ((~((op2 (e22) (e22)) = (e21)))\/((op2 (e22) (e21)) = (e22))) -> ((~((op2 (e22) (e22)) = (e23)))\/((op2 (e22) (e23)) = (e22))) -> ((e20) = (op2 (e23) (e23))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((e21) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> ((e22) = (op2 (op2 (e23) (e23)) (e23))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> ((~((op2 (e21) (e21)) = (e20)))\/((op2 (e21) (e20)) = (e21))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((e21) = (e22))) -> (~((op2 (e21) (e21)) = (e21))) -> (~((e20) = (e21))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> ((op2 (e20) (e20)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((~((op2 (e21) (e21)) = (e22)))\/((op2 (e21) (e22)) = (e21))) -> ((~((op2 (e22) (e22)) = (e22)))\/((op2 (e22) (e22)) = (e22))) -> False). % 23.54/23.80 do 0 intro. intros zenon_H1d3 zenon_H1cb zenon_H135 zenon_H132 zenon_H12c zenon_H12f zenon_H121 zenon_H101 zenon_H107 zenon_H11d zenon_Hf3 zenon_Hf9 zenon_Hfe zenon_H11a zenon_H112 zenon_H10f zenon_Heb zenon_He7 zenon_Hb8 zenon_Hd1 zenon_Hce zenon_H2fa zenon_H2f7 zenon_H26a zenon_H238 zenon_H26d zenon_H2e9 zenon_Hc9 zenon_Hdb zenon_H2e5 zenon_H28f zenon_H1dd zenon_H2db zenon_Hcf zenon_Hc8 zenon_Ha6 zenon_Hbc zenon_H87 zenon_H4d zenon_Hc0 zenon_H9d zenon_H9a zenon_H8f zenon_H8b zenon_H7b zenon_H75 zenon_H6f zenon_H68 zenon_H80 zenon_H86 zenon_H95 zenon_H62 zenon_H94 zenon_H120 zenon_H9e zenon_H5c zenon_H4c zenon_H53 zenon_H5a zenon_Hb1 zenon_Hb4 zenon_H27 zenon_H28 zenon_H1d4 zenon_H1ca zenon_H14 zenon_H1a8 zenon_H1be zenon_H189 zenon_H14e zenon_H1c2 zenon_H19f zenon_H19b zenon_H191 zenon_H18d zenon_H17d zenon_H177 zenon_H171 zenon_H16a zenon_H193 zenon_H182 zenon_H188 zenon_H194 zenon_H1a zenon_H164 zenon_H19e zenon_H222. % 23.54/23.80 apply (zenon_or_s _ _ zenon_H1d3); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H1d0 ]. % 23.54/23.80 apply (zenon_L233_); trivial. % 23.54/23.80 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1d1 ]. % 23.54/23.80 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H16f ]. % 23.54/23.80 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H1a7 ]. % 23.54/23.80 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H2c | zenon_intro zenon_H136 ]. % 23.54/23.80 apply (zenon_L7_); trivial. % 23.54/23.80 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H34 | zenon_intro zenon_H137 ]. % 23.54/23.80 apply (zenon_L8_); trivial. % 23.54/23.80 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H36 | zenon_intro zenon_H138 ]. % 23.54/23.80 apply (zenon_L9_); trivial. % 23.54/23.80 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H38 | zenon_intro zenon_H139 ]. % 23.54/23.80 apply (zenon_L10_); trivial. % 23.54/23.80 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H13b | zenon_intro zenon_H13a ]. % 23.54/23.80 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_H63. zenon_intro zenon_H13c. % 23.54/23.80 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_Hba. zenon_intro zenon_H13d. % 23.54/23.80 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_Hbb. zenon_intro zenon_H13e. % 23.54/23.80 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_H28c. zenon_intro zenon_H28e. % 23.54/23.80 apply (zenon_L288_); trivial. % 23.54/23.80 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H140 | zenon_intro zenon_H13f ]. % 23.54/23.80 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H99. zenon_intro zenon_H13c. % 23.54/23.80 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_Hba. zenon_intro zenon_H13d. % 23.54/23.80 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_Hbb. zenon_intro zenon_H13e. % 23.54/23.80 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_H28c. zenon_intro zenon_H28e. % 23.54/23.80 apply (zenon_L288_); trivial. % 23.54/23.80 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H142 | zenon_intro zenon_H141 ]. % 23.54/23.80 apply (zenon_and_s _ _ zenon_H142). zenon_intro zenon_H6e. zenon_intro zenon_H13c. % 23.54/23.80 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_Hba. zenon_intro zenon_H13d. % 23.54/23.80 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_Hbb. zenon_intro zenon_H13e. % 23.54/23.80 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_H28c. zenon_intro zenon_H28e. % 23.54/23.80 apply (zenon_L288_); trivial. % 23.54/23.80 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H144 | zenon_intro zenon_H143 ]. % 23.54/23.80 apply (zenon_and_s _ _ zenon_H144). zenon_intro zenon_He4. zenon_intro zenon_H13c. % 23.54/23.80 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_Hba. zenon_intro zenon_H13d. % 23.54/23.80 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_Hbb. zenon_intro zenon_H13e. % 23.54/23.80 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_H28c. zenon_intro zenon_H28e. % 23.54/23.80 apply (zenon_L288_); trivial. % 23.54/23.80 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H145 ]. % 23.54/23.80 apply (zenon_L47_); trivial. % 23.54/23.80 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_He1 | zenon_intro zenon_H146 ]. % 23.54/23.80 apply (zenon_L49_); trivial. % 23.54/23.80 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_He2 | zenon_intro zenon_H147 ]. % 23.54/23.80 apply (zenon_L50_); trivial. % 23.54/23.80 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_Hea | zenon_intro zenon_H148 ]. % 23.54/23.80 apply (zenon_L53_); trivial. % 23.54/23.80 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H149 ]. % 23.54/23.80 apply (zenon_L55_); trivial. % 23.54/23.80 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H124 | zenon_intro zenon_H14a ]. % 23.54/23.80 apply (zenon_L78_); trivial. % 23.54/23.80 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_H133 | zenon_intro zenon_H134 ]. % 23.54/23.80 apply (zenon_L91_); trivial. % 23.54/23.80 apply (zenon_L92_); trivial. % 23.54/23.80 apply (zenon_L116_); trivial. % 23.54/23.80 apply (zenon_L147_); trivial. % 23.54/23.80 exact (zenon_H28f zenon_H1d1). % 23.54/23.80 (* end of lemma zenon_L289_ *) % 23.54/23.80 assert (zenon_L290_ : ((~((op2 (e22) (e22)) = (e21)))\/(~((op2 (e22) (e21)) = (e22)))) -> ((~((op2 (e22) (e22)) = (e21)))\/((op2 (e22) (e21)) = (e22))) -> ((~((op2 (e22) (e22)) = (e20)))\/((op2 (e22) (e20)) = (e22))) -> ((e10) = (op1 (e13) (e13))) -> ((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> ((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10))) -> ((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((e10) = (e11))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((e12) = (op1 (op1 (e13) (e13)) (e13))) -> ((e11) = (op1 (op1 (op1 (e13) (e13)) (e13)) (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((h4 (op1 (e12) (e11))) = (op2 (h4 (e12)) (h4 (e11))))) -> ((h4 (e13)) = (e23)) -> ((h4 (e11)) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> ((h4 (e12)) = (op2 (op2 (e23) (e23)) (e23))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e22) (e21)) = (e23))))) -> ((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12))) -> ((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12))) -> ((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> ((((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e11) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e11) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e11) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e12) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e12) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e12) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e13) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e13) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e13) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))\/(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))))))))))))))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((~((op2 (e22) (e22)) = (e23)))\/((op2 (e22) (e23)) = (e22))) -> ((e20) = (op2 (e23) (e23))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((e21) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> ((e22) = (op2 (op2 (e23) (e23)) (e23))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> ((~((op2 (e21) (e21)) = (e20)))\/((op2 (e21) (e20)) = (e21))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((e21) = (e22))) -> (~((op2 (e21) (e21)) = (e21))) -> (~((e20) = (e21))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((~((op2 (e21) (e21)) = (e22)))\/((op2 (e21) (e22)) = (e21))) -> ((~((op2 (e22) (e22)) = (e22)))\/((op2 (e22) (e22)) = (e22))) -> ((~((op2 (e20) (e20)) = (e20)))\/((op2 (e20) (e20)) = (e20))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e20)) = (e22))\/((op2 (e20) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (e21))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((~((op2 (e20) (e20)) = (e23)))\/((op2 (e20) (e23)) = (e20))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> False). % 23.54/23.80 do 0 intro. intros zenon_H290 zenon_H1d4 zenon_H1d3 zenon_H28 zenon_H27 zenon_Hb4 zenon_Hb1 zenon_H5a zenon_H53 zenon_H4c zenon_H5c zenon_H9e zenon_H120 zenon_H94 zenon_H62 zenon_H95 zenon_H86 zenon_H80 zenon_H68 zenon_H6f zenon_H75 zenon_H7b zenon_H8b zenon_H8f zenon_H9a zenon_H9d zenon_Hc0 zenon_H4d zenon_H87 zenon_Hbc zenon_Ha6 zenon_Hc8 zenon_Hcf zenon_H2db zenon_H1dd zenon_H1cf zenon_H2e5 zenon_Hdb zenon_Hc9 zenon_H2e9 zenon_H26d zenon_H238 zenon_H26a zenon_H2f7 zenon_H2fa zenon_Hce zenon_Hd1 zenon_Hb8 zenon_He7 zenon_Heb zenon_H10f zenon_H112 zenon_H11a zenon_Hfe zenon_Hf9 zenon_Hf3 zenon_H11d zenon_H107 zenon_H101 zenon_H121 zenon_H12f zenon_H12c zenon_H132 zenon_H135 zenon_H1cb zenon_H1ca zenon_H14 zenon_H1a8 zenon_H1be zenon_H189 zenon_H14e zenon_H1c2 zenon_H19f zenon_H19b zenon_H191 zenon_H18d zenon_H17d zenon_H177 zenon_H171 zenon_H16a zenon_H193 zenon_H182 zenon_H188 zenon_H194 zenon_H164 zenon_H19e zenon_H222 zenon_H1a0 zenon_H15e zenon_H14d zenon_H15d zenon_H154 zenon_H15b zenon_H1b3 zenon_H1b6. % 23.54/23.80 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H28f ]. % 23.54/23.80 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H1a | zenon_intro zenon_H1b7 ]. % 23.54/23.80 apply (zenon_L282_); trivial. % 23.54/23.80 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H19a | zenon_intro zenon_H1b8 ]. % 23.54/23.80 exact (zenon_H193 zenon_H19a). % 23.54/23.80 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H16f | zenon_intro zenon_H1a2 ]. % 23.54/23.80 apply (zenon_L114_); trivial. % 23.54/23.80 apply (zenon_L118_); trivial. % 23.54/23.80 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H1a | zenon_intro zenon_H1b7 ]. % 23.54/23.80 apply (zenon_L289_); trivial. % 23.54/23.80 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H19a | zenon_intro zenon_H1b8 ]. % 23.54/23.80 exact (zenon_H193 zenon_H19a). % 23.54/23.80 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H16f | zenon_intro zenon_H1a2 ]. % 23.54/23.80 apply (zenon_L114_); trivial. % 23.54/23.80 apply (zenon_L118_); trivial. % 23.54/23.80 (* end of lemma zenon_L290_ *) % 23.54/23.80 assert (zenon_L291_ : ((~((op2 (e22) (e22)) = (e21)))\/(~((op2 (e22) (e21)) = (e22)))) -> ((~((op2 (e22) (e22)) = (e21)))\/((op2 (e22) (e21)) = (e22))) -> ((~((op2 (e22) (e22)) = (e20)))\/((op2 (e22) (e20)) = (e22))) -> ((e10) = (op1 (e13) (e13))) -> ((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> ((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10))) -> ((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((e10) = (e11))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((e12) = (op1 (op1 (e13) (e13)) (e13))) -> ((e11) = (op1 (op1 (op1 (e13) (e13)) (e13)) (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((h4 (op1 (e12) (e11))) = (op2 (h4 (e12)) (h4 (e11))))) -> ((h4 (e13)) = (e23)) -> ((h4 (e11)) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> ((h4 (e12)) = (op2 (op2 (e23) (e23)) (e23))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e22) (e21)) = (e23))))) -> ((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12))) -> ((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12))) -> ((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> ((((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e11) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e11) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e11) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e12) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e12) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e12) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e13) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e13) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e13) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))\/(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))))))))))))))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((~((op2 (e22) (e22)) = (e23)))\/((op2 (e22) (e23)) = (e22))) -> ((e20) = (op2 (e23) (e23))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((e21) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> ((e22) = (op2 (op2 (e23) (e23)) (e23))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> ((~((op2 (e21) (e21)) = (e20)))\/((op2 (e21) (e20)) = (e21))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((e21) = (e22))) -> (~((op2 (e21) (e21)) = (e21))) -> (~((e20) = (e21))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((~((op2 (e21) (e21)) = (e22)))\/((op2 (e21) (e22)) = (e21))) -> ((~((op2 (e22) (e22)) = (e22)))\/((op2 (e22) (e22)) = (e22))) -> ((~((op2 (e20) (e20)) = (e20)))\/((op2 (e20) (e20)) = (e20))) -> ((~((op2 (e20) (e20)) = (e23)))\/((op2 (e20) (e23)) = (e20))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e20)) = (e22))\/((op2 (e20) (e20)) = (e23))))) -> (~((op2 (e20) (e21)) = (e20))) -> ((~((op2 (e20) (e20)) = (e21)))\/((op2 (e20) (e21)) = (e20))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> False). % 23.54/23.80 do 0 intro. intros zenon_H290 zenon_H1d4 zenon_H1d3 zenon_H28 zenon_H27 zenon_Hb4 zenon_Hb1 zenon_H5a zenon_H53 zenon_H4c zenon_H5c zenon_H9e zenon_H120 zenon_H94 zenon_H62 zenon_H95 zenon_H86 zenon_H80 zenon_H68 zenon_H6f zenon_H75 zenon_H7b zenon_H8b zenon_H8f zenon_H9a zenon_H9d zenon_Hc0 zenon_H4d zenon_H87 zenon_Hbc zenon_Ha6 zenon_Hc8 zenon_Hcf zenon_H2db zenon_H1dd zenon_H1cf zenon_H2e5 zenon_Hdb zenon_Hc9 zenon_H2e9 zenon_H26d zenon_H238 zenon_H26a zenon_H2f7 zenon_H2fa zenon_Hce zenon_Hd1 zenon_Hb8 zenon_He7 zenon_Heb zenon_H10f zenon_H112 zenon_H11a zenon_Hfe zenon_Hf9 zenon_Hf3 zenon_H11d zenon_H107 zenon_H101 zenon_H121 zenon_H12f zenon_H12c zenon_H132 zenon_H135 zenon_H1cb zenon_H1ca zenon_H14 zenon_H1a8 zenon_H1be zenon_H189 zenon_H14e zenon_H1c2 zenon_H19f zenon_H19b zenon_H191 zenon_H18d zenon_H17d zenon_H177 zenon_H171 zenon_H16a zenon_H193 zenon_H182 zenon_H188 zenon_H194 zenon_H164 zenon_H19e zenon_H222 zenon_H1a0 zenon_H15b zenon_H154 zenon_H14d zenon_H15e zenon_H1b9 zenon_H1ba zenon_H1b3 zenon_H1b6. % 23.54/23.80 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H28f ]. % 23.54/23.80 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H1a | zenon_intro zenon_H1b7 ]. % 23.54/23.80 apply (zenon_L282_); trivial. % 23.54/23.80 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H19a | zenon_intro zenon_H1b8 ]. % 23.54/23.80 exact (zenon_H193 zenon_H19a). % 23.54/23.80 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H16f | zenon_intro zenon_H1a2 ]. % 23.54/23.80 apply (zenon_L120_); trivial. % 23.54/23.80 apply (zenon_L118_); trivial. % 23.54/23.80 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H1a | zenon_intro zenon_H1b7 ]. % 23.54/23.80 apply (zenon_L289_); trivial. % 23.54/23.80 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H19a | zenon_intro zenon_H1b8 ]. % 23.54/23.80 exact (zenon_H193 zenon_H19a). % 23.54/23.80 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H16f | zenon_intro zenon_H1a2 ]. % 23.54/23.80 apply (zenon_L120_); trivial. % 23.54/23.80 apply (zenon_L118_); trivial. % 23.54/23.80 (* end of lemma zenon_L291_ *) % 23.54/23.80 assert (zenon_L292_ : ((~((op2 (e20) (e20)) = (e21)))\/(~((op2 (e20) (e21)) = (e20)))) -> ((~((op2 (e20) (e20)) = (e21)))\/((op2 (e20) (e21)) = (e20))) -> ((~((op2 (e22) (e22)) = (e21)))\/(~((op2 (e22) (e21)) = (e22)))) -> ((~((op2 (e22) (e22)) = (e21)))\/((op2 (e22) (e21)) = (e22))) -> ((~((op2 (e22) (e22)) = (e20)))\/((op2 (e22) (e20)) = (e22))) -> ((e10) = (op1 (e13) (e13))) -> ((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> ((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10))) -> ((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((e10) = (e11))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((e12) = (op1 (op1 (e13) (e13)) (e13))) -> ((e11) = (op1 (op1 (op1 (e13) (e13)) (e13)) (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op1 (e11) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((h4 (op1 (e12) (e11))) = (op2 (h4 (e12)) (h4 (e11))))) -> ((h4 (e13)) = (e23)) -> ((h4 (e11)) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> ((h4 (e12)) = (op2 (op2 (e23) (e23)) (e23))) -> (((op1 (e12) (e11)) = (e10))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e12) (e11)) = (e13))))) -> (((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e22) (e21)) = (e23))))) -> ((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12))) -> ((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12))) -> ((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> ((((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e11) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e11) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e11) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e12) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e12) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e12) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e13) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e13) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e13) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))\/(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))))))))))))))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((~((op2 (e22) (e22)) = (e23)))\/((op2 (e22) (e23)) = (e22))) -> ((e20) = (op2 (e23) (e23))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((e21) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> ((e22) = (op2 (op2 (e23) (e23)) (e23))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> ((~((op2 (e21) (e21)) = (e20)))\/((op2 (e21) (e20)) = (e21))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((e21) = (e22))) -> (~((e20) = (e21))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((~((op2 (e21) (e21)) = (e22)))\/((op2 (e21) (e22)) = (e21))) -> ((~((op2 (e22) (e22)) = (e22)))\/((op2 (e22) (e22)) = (e22))) -> ((~((op2 (e20) (e20)) = (e20)))\/((op2 (e20) (e20)) = (e20))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e20)) = (e22))\/((op2 (e20) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((~((op2 (e20) (e20)) = (e23)))\/((op2 (e20) (e23)) = (e20))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> ((~((op2 (e21) (e21)) = (e21)))\/(~((op2 (e21) (e21)) = (e21)))) -> False). % 23.54/23.80 do 0 intro. intros zenon_H1bc zenon_H1ba zenon_H290 zenon_H1d4 zenon_H1d3 zenon_H28 zenon_H27 zenon_Hb4 zenon_Hb1 zenon_H5a zenon_H53 zenon_H4c zenon_H5c zenon_H9e zenon_H120 zenon_H94 zenon_H62 zenon_H95 zenon_H86 zenon_H80 zenon_H68 zenon_H6f zenon_H75 zenon_H7b zenon_H8b zenon_H8f zenon_H9a zenon_H9d zenon_Hc0 zenon_H4d zenon_H87 zenon_Hbc zenon_Ha6 zenon_Hc8 zenon_Hcf zenon_H2db zenon_H1dd zenon_H1cf zenon_H2e5 zenon_Hdb zenon_Hc9 zenon_H2e9 zenon_H26d zenon_H238 zenon_H26a zenon_H2f7 zenon_H2fa zenon_Hce zenon_Hd1 zenon_Hb8 zenon_He7 zenon_Heb zenon_H10f zenon_H112 zenon_H11a zenon_Hfe zenon_Hf9 zenon_Hf3 zenon_H11d zenon_H107 zenon_H101 zenon_H121 zenon_H12f zenon_H12c zenon_H132 zenon_H135 zenon_H1cb zenon_H1ca zenon_H14 zenon_H1a8 zenon_H1be zenon_H189 zenon_H14e zenon_H1c2 zenon_H19f zenon_H19b zenon_H191 zenon_H18d zenon_H17d zenon_H177 zenon_H171 zenon_H16a zenon_H182 zenon_H188 zenon_H194 zenon_H164 zenon_H19e zenon_H222 zenon_H1a0 zenon_H15e zenon_H14d zenon_H154 zenon_H15b zenon_H1b3 zenon_H1b6 zenon_H1bd. % 23.54/23.80 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H15d | zenon_intro zenon_H1b9 ]. % 23.54/23.80 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H193 | zenon_intro zenon_H193 ]. % 23.54/23.80 apply (zenon_L290_); trivial. % 23.54/23.80 apply (zenon_L290_); trivial. % 23.54/23.80 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H193 | zenon_intro zenon_H193 ]. % 23.54/23.80 apply (zenon_L291_); trivial. % 23.54/23.80 apply (zenon_L291_); trivial. % 23.54/23.80 (* end of lemma zenon_L292_ *) % 23.54/23.80 assert (zenon_L293_ : (~((h4 (op1 (e12) (e12))) = (op2 (h4 (e12)) (h4 (e12))))) -> ((h4 (e10)) = (op2 (e23) (e23))) -> ((op1 (e12) (e12)) = (e10)) -> ((op2 (e22) (e22)) = (e20)) -> ((e20) = (op2 (e23) (e23))) -> ((h4 (e12)) = (op2 (op2 (e23) (e23)) (e23))) -> ((e22) = (op2 (op2 (e23) (e23)) (e23))) -> False). % 23.54/23.80 do 0 intro. intros zenon_H2fd zenon_H3b zenon_Hc5 zenon_H1c7 zenon_H14 zenon_H26a zenon_H14e. % 23.54/23.80 cut (((h4 (e10)) = (op2 (e23) (e23))) = ((h4 (op1 (e12) (e12))) = (op2 (h4 (e12)) (h4 (e12))))). % 23.54/23.80 intro zenon_D_pnotp. % 23.54/23.80 apply zenon_H2fd. % 23.54/23.80 rewrite <- zenon_D_pnotp. % 23.54/23.80 exact zenon_H3b. % 23.54/23.80 cut (((op2 (e23) (e23)) = (op2 (h4 (e12)) (h4 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H2fe]. % 23.54/23.80 cut (((h4 (e10)) = (h4 (op1 (e12) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H2ff]. % 23.54/23.80 congruence. % 23.54/23.80 elim (classic ((h4 (op1 (e12) (e12))) = (h4 (op1 (e12) (e12))))); [ zenon_intro zenon_H300 | zenon_intro zenon_H301 ]. % 23.54/23.80 cut (((h4 (op1 (e12) (e12))) = (h4 (op1 (e12) (e12)))) = ((h4 (e10)) = (h4 (op1 (e12) (e12))))). % 23.54/23.80 intro zenon_D_pnotp. % 23.54/23.80 apply zenon_H2ff. % 23.54/23.80 rewrite <- zenon_D_pnotp. % 23.54/23.80 exact zenon_H300. % 23.54/23.80 cut (((h4 (op1 (e12) (e12))) = (h4 (op1 (e12) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H301]. % 23.54/23.80 cut (((h4 (op1 (e12) (e12))) = (h4 (e10)))); [idtac | apply NNPP; zenon_intro zenon_H302]. % 23.54/23.80 congruence. % 23.54/23.80 cut (((op1 (e12) (e12)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_Hc1]. % 23.54/23.80 congruence. % 23.54/23.80 exact (zenon_Hc1 zenon_Hc5). % 23.54/23.80 apply zenon_H301. apply refl_equal. % 23.54/23.80 apply zenon_H301. apply refl_equal. % 23.54/23.80 elim (classic ((op2 (h4 (e12)) (h4 (e12))) = (op2 (h4 (e12)) (h4 (e12))))); [ zenon_intro zenon_H303 | zenon_intro zenon_H304 ]. % 23.54/23.80 cut (((op2 (h4 (e12)) (h4 (e12))) = (op2 (h4 (e12)) (h4 (e12)))) = ((op2 (e23) (e23)) = (op2 (h4 (e12)) (h4 (e12))))). % 23.54/23.80 intro zenon_D_pnotp. % 23.54/23.80 apply zenon_H2fe. % 23.54/23.80 rewrite <- zenon_D_pnotp. % 23.54/23.80 exact zenon_H303. % 23.54/23.80 cut (((op2 (h4 (e12)) (h4 (e12))) = (op2 (h4 (e12)) (h4 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H304]. % 23.54/23.80 cut (((op2 (h4 (e12)) (h4 (e12))) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H305]. % 23.54/23.80 congruence. % 23.54/23.80 cut (((op2 (e22) (e22)) = (e20)) = ((op2 (h4 (e12)) (h4 (e12))) = (op2 (e23) (e23)))). % 23.54/23.80 intro zenon_D_pnotp. % 23.54/23.80 apply zenon_H305. % 23.54/23.80 rewrite <- zenon_D_pnotp. % 23.54/23.80 exact zenon_H1c7. % 23.54/23.80 cut (((e20) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H47]. % 23.54/23.80 cut (((op2 (e22) (e22)) = (op2 (h4 (e12)) (h4 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H306]. % 23.54/23.80 congruence. % 23.54/23.80 elim (classic ((op2 (h4 (e12)) (h4 (e12))) = (op2 (h4 (e12)) (h4 (e12))))); [ zenon_intro zenon_H303 | zenon_intro zenon_H304 ]. % 23.54/23.80 cut (((op2 (h4 (e12)) (h4 (e12))) = (op2 (h4 (e12)) (h4 (e12)))) = ((op2 (e22) (e22)) = (op2 (h4 (e12)) (h4 (e12))))). % 23.54/23.80 intro zenon_D_pnotp. % 23.54/23.80 apply zenon_H306. % 23.54/23.80 rewrite <- zenon_D_pnotp. % 23.54/23.80 exact zenon_H303. % 23.54/23.80 cut (((op2 (h4 (e12)) (h4 (e12))) = (op2 (h4 (e12)) (h4 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H304]. % 23.54/23.80 cut (((op2 (h4 (e12)) (h4 (e12))) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H307]. % 23.54/23.80 congruence. % 23.54/23.80 cut (((h4 (e12)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H269]. % 23.54/23.80 cut (((h4 (e12)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H269]. % 23.54/23.80 congruence. % 23.54/23.80 apply (zenon_L201_); trivial. % 23.54/23.80 apply (zenon_L201_); trivial. % 23.54/23.80 apply zenon_H304. apply refl_equal. % 23.54/23.80 apply zenon_H304. apply refl_equal. % 23.54/23.80 exact (zenon_H47 zenon_H14). % 23.54/23.80 apply zenon_H304. apply refl_equal. % 23.54/23.80 apply zenon_H304. apply refl_equal. % 23.54/23.80 (* end of lemma zenon_L293_ *) % 23.54/23.80 assert (zenon_L294_ : (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((e20) = (op2 (e23) (e23))) -> ((op2 (e22) (e23)) = (e20)) -> False). % 23.54/23.80 do 0 intro. intros zenon_H308 zenon_H14 zenon_H309. % 23.54/23.80 cut (((e20) = (op2 (e23) (e23))) = ((op2 (e22) (e23)) = (op2 (e23) (e23)))). % 23.54/23.80 intro zenon_D_pnotp. % 23.54/23.80 apply zenon_H308. % 23.54/23.80 rewrite <- zenon_D_pnotp. % 23.54/23.80 exact zenon_H14. % 23.54/23.80 cut (((op2 (e23) (e23)) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H156]. % 23.54/23.80 cut (((e20) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H30a]. % 23.54/23.80 congruence. % 23.54/23.80 elim (classic ((op2 (e22) (e23)) = (op2 (e22) (e23)))); [ zenon_intro zenon_H1a9 | zenon_intro zenon_H1aa ]. % 23.54/23.80 cut (((op2 (e22) (e23)) = (op2 (e22) (e23))) = ((e20) = (op2 (e22) (e23)))). % 23.54/23.80 intro zenon_D_pnotp. % 23.54/23.80 apply zenon_H30a. % 23.54/23.80 rewrite <- zenon_D_pnotp. % 23.54/23.80 exact zenon_H1a9. % 23.54/23.80 cut (((op2 (e22) (e23)) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H1aa]. % 23.54/23.80 cut (((op2 (e22) (e23)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H30b]. % 23.54/23.80 congruence. % 23.54/23.80 exact (zenon_H30b zenon_H309). % 23.54/23.80 apply zenon_H1aa. apply refl_equal. % 23.54/23.80 apply zenon_H1aa. apply refl_equal. % 23.54/23.80 apply zenon_H156. apply refl_equal. % 23.54/23.80 (* end of lemma zenon_L294_ *) % 23.54/23.80 assert (zenon_L295_ : ((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12))) -> ((op1 (e12) (e10)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (e23))) -> ((~((op2 (e22) (e22)) = (e23)))\/((op2 (e22) (e23)) = (e22))) -> ((e20) = (op2 (e23) (e23))) -> ((e22) = (op2 (op2 (e23) (e23)) (e23))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (e21))) -> (~((op2 (e22) (e22)) = (e22))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> ((e10) = (op1 (e13) (e13))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((h4 (e12)) = (op2 (op2 (e23) (e23)) (e23))) -> ((h4 (e10)) = (op2 (e23) (e23))) -> (~((h4 (op1 (e12) (e12))) = (op2 (h4 (e12)) (h4 (e12))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e12)) = (e11))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> ((op2 (e20) (e20)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (e13)) (e13))) -> ((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12))) -> False). % 23.54/23.80 do 0 intro. intros zenon_H120 zenon_Hca zenon_Hcf zenon_H191 zenon_H18d zenon_H171 zenon_H1c5 zenon_H1ca zenon_H14 zenon_H14e zenon_H1a8 zenon_H1cb zenon_H1c1 zenon_H1c4 zenon_H1c2 zenon_H2db zenon_H11a zenon_H28 zenon_H112 zenon_H26a zenon_H3b zenon_H2fd zenon_H6f zenon_Hbf zenon_Hc0 zenon_H2e zenon_H264 zenon_H308 zenon_H30c zenon_H1a zenon_H164 zenon_Ha6 zenon_H4d zenon_Hc8. % 23.54/23.80 apply (zenon_or_s _ _ zenon_H120); [ zenon_intro zenon_Hc2 | zenon_intro zenon_H6d ]. % 23.54/23.80 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Ha5 ]. % 23.54/23.80 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_H165 | zenon_intro zenon_H195 ]. % 23.54/23.80 apply (zenon_L99_); trivial. % 23.54/23.80 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_H197 | zenon_intro zenon_H196 ]. % 23.54/23.80 apply (zenon_or_s _ _ zenon_H30c); [ zenon_intro zenon_H1cc | zenon_intro zenon_H30d ]. % 23.54/23.80 apply (zenon_L126_); trivial. % 23.54/23.80 apply (zenon_or_s _ _ zenon_H30d); [ zenon_intro zenon_H2da | zenon_intro zenon_H30e ]. % 23.54/23.80 apply (zenon_L270_); trivial. % 23.54/23.80 apply (zenon_or_s _ _ zenon_H30e); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H309 ]. % 23.54/23.80 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H110 | zenon_intro zenon_H11b ]. % 23.54/23.80 apply (zenon_L199_); trivial. % 23.54/23.80 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H82 | zenon_intro zenon_H11c ]. % 23.54/23.80 apply (zenon_L194_); trivial. % 23.54/23.80 apply (zenon_or_s _ _ zenon_H11c); [ zenon_intro zenon_Hc5 | zenon_intro zenon_H113 ]. % 23.54/23.80 apply (zenon_L293_); trivial. % 23.54/23.80 apply (zenon_L64_); trivial. % 23.54/23.80 apply (zenon_L294_); trivial. % 23.54/23.80 apply (zenon_or_s _ _ zenon_H196); [ zenon_intro zenon_H184 | zenon_intro zenon_H18e ]. % 23.54/23.80 apply (zenon_L190_); trivial. % 23.54/23.80 apply (zenon_L108_); trivial. % 23.54/23.80 apply (zenon_L35_); trivial. % 23.54/23.80 apply (zenon_L65_); trivial. % 23.54/23.80 (* end of lemma zenon_L295_ *) % 23.54/23.80 assert (zenon_L296_ : ((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((op2 (e20) (e20)) = (e20)) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e12) (e12)) = (e11))) -> (~((h4 (op1 (e12) (e12))) = (op2 (h4 (e12)) (h4 (e12))))) -> ((h4 (e10)) = (op2 (e23) (e23))) -> ((h4 (e12)) = (op2 (op2 (e23) (e23)) (e23))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e22)) = (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((e22) = (op2 (op2 (e23) (e23)) (e23))) -> ((e20) = (op2 (e23) (e23))) -> ((~((op2 (e22) (e22)) = (e23)))\/((op2 (e22) (e23)) = (e22))) -> (~((op2 (e22) (e22)) = (e23))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12))) -> ((e10) = (op1 (e13) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((e11) = (op1 (op1 (op1 (e13) (e13)) (e13)) (e13))) -> ((e12) = (op1 (op1 (e13) (e13)) (e13))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((e10) = (e11))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> ((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12))) -> False). % 23.54/23.80 do 0 intro. intros zenon_Hce zenon_H164 zenon_H1a zenon_H30c zenon_H308 zenon_H264 zenon_Hbf zenon_H2fd zenon_H3b zenon_H26a zenon_H112 zenon_H11a zenon_H2db zenon_H1c2 zenon_H1c4 zenon_H1c1 zenon_H1cb zenon_H1a8 zenon_H14e zenon_H14 zenon_H1ca zenon_H1c5 zenon_H171 zenon_H18d zenon_H191 zenon_Hcf zenon_Hc8 zenon_H28 zenon_Ha6 zenon_Hbc zenon_H87 zenon_H4d zenon_Hc0 zenon_H9d zenon_H9a zenon_H8f zenon_H8b zenon_H7b zenon_H75 zenon_H6f zenon_H68 zenon_H96 zenon_H80 zenon_H86 zenon_H95 zenon_H2e zenon_H62 zenon_H94 zenon_H120. % 23.54/23.80 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_Hc1 | zenon_intro zenon_Hca ]. % 23.54/23.80 apply (zenon_L234_); trivial. % 23.54/23.80 apply (zenon_L295_); trivial. % 23.54/23.80 (* end of lemma zenon_L296_ *) % 23.54/23.80 assert (zenon_L297_ : ((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (e23))) -> ((~((op2 (e22) (e22)) = (e23)))\/((op2 (e22) (e23)) = (e22))) -> ((e20) = (op2 (e23) (e23))) -> ((e22) = (op2 (op2 (e23) (e23)) (e23))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (e21))) -> (~((op2 (e22) (e22)) = (e22))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((h4 (e12)) = (op2 (op2 (e23) (e23)) (e23))) -> ((h4 (e10)) = (op2 (e23) (e23))) -> (~((h4 (op1 (e12) (e12))) = (op2 (h4 (e12)) (h4 (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> ((op2 (e20) (e20)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op1 (e12) (e11)) = (e12))) -> ((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12))) -> ((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12))) -> ((e10) = (op1 (e13) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((e11) = (op1 (op1 (op1 (e13) (e13)) (e13)) (e13))) -> ((e12) = (op1 (op1 (e13) (e13)) (e13))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((e10) = (e11))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> ((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12))) -> False). % 23.54/23.80 do 0 intro. intros zenon_Hce zenon_Hcf zenon_H191 zenon_H18d zenon_H171 zenon_H1c5 zenon_H1ca zenon_H14 zenon_H14e zenon_H1a8 zenon_H1cb zenon_H1c1 zenon_H1c4 zenon_H1c2 zenon_H2db zenon_H11a zenon_H112 zenon_H26a zenon_H3b zenon_H2fd zenon_H264 zenon_H308 zenon_H30c zenon_H1a zenon_H164 zenon_H28b zenon_Hd1 zenon_Hc8 zenon_H28 zenon_Ha6 zenon_Hbc zenon_H87 zenon_H4d zenon_Hc0 zenon_H9d zenon_H9a zenon_H8f zenon_H8b zenon_H7b zenon_H75 zenon_H6f zenon_H68 zenon_H96 zenon_H80 zenon_H86 zenon_H95 zenon_H2e zenon_H62 zenon_H94 zenon_H120. % 23.54/23.80 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_Hc1 | zenon_intro zenon_Hca ]. % 23.54/23.80 apply (zenon_L234_); trivial. % 23.54/23.80 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hcb ]. % 23.54/23.80 apply (zenon_L295_); trivial. % 23.54/23.80 exact (zenon_H28b zenon_Hcb). % 23.54/23.80 (* end of lemma zenon_L297_ *) % 23.54/23.80 assert (zenon_L298_ : ((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12)))) -> ((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12))) -> ((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((op2 (e20) (e20)) = (e20)) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((h4 (op1 (e12) (e12))) = (op2 (h4 (e12)) (h4 (e12))))) -> ((h4 (e10)) = (op2 (e23) (e23))) -> ((h4 (e12)) = (op2 (op2 (e23) (e23)) (e23))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e22)) = (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((e22) = (op2 (op2 (e23) (e23)) (e23))) -> ((e20) = (op2 (e23) (e23))) -> ((~((op2 (e22) (e22)) = (e23)))\/((op2 (e22) (e23)) = (e22))) -> (~((op2 (e22) (e22)) = (e23))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12))) -> ((e10) = (op1 (e13) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((e11) = (op1 (op1 (op1 (e13) (e13)) (e13)) (e13))) -> ((e12) = (op1 (op1 (e13) (e13)) (e13))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((e10) = (e11))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> ((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12))) -> ((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (e11))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> False). % 23.54/23.80 do 0 intro. intros zenon_H28c zenon_Hd1 zenon_Hce zenon_H164 zenon_H1a zenon_H30c zenon_H308 zenon_H264 zenon_H2fd zenon_H3b zenon_H26a zenon_H112 zenon_H11a zenon_H2db zenon_H1c2 zenon_H1c4 zenon_H1c1 zenon_H1cb zenon_H1a8 zenon_H14e zenon_H14 zenon_H1ca zenon_H1c5 zenon_H171 zenon_H18d zenon_H191 zenon_Hcf zenon_Hc8 zenon_H28 zenon_Ha6 zenon_Hbc zenon_H87 zenon_H4d zenon_Hc0 zenon_H9d zenon_H9a zenon_H8f zenon_H8b zenon_H7b zenon_H75 zenon_H6f zenon_H68 zenon_H96 zenon_H80 zenon_H86 zenon_H95 zenon_H62 zenon_H94 zenon_H120 zenon_H9e zenon_H5c zenon_H4c zenon_H5b zenon_H53 zenon_H5a zenon_Hb1 zenon_Hb4. % 23.54/23.80 apply (zenon_or_s _ _ zenon_H28c); [ zenon_intro zenon_Hbf | zenon_intro zenon_H28b ]. % 23.54/23.80 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H2e | zenon_intro zenon_Hb5 ]. % 23.54/23.80 apply (zenon_L296_); trivial. % 23.54/23.80 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_H99 | zenon_intro zenon_Hb6 ]. % 23.54/23.80 exact (zenon_H96 zenon_H99). % 23.54/23.80 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_H6d | zenon_intro zenon_Ha0 ]. % 23.54/23.80 apply (zenon_L33_); trivial. % 23.54/23.80 apply (zenon_L37_); trivial. % 23.54/23.80 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H2e | zenon_intro zenon_Hb5 ]. % 23.54/23.80 apply (zenon_L297_); trivial. % 23.54/23.80 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_H99 | zenon_intro zenon_Hb6 ]. % 23.54/23.80 exact (zenon_H96 zenon_H99). % 23.54/23.80 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_H6d | zenon_intro zenon_Ha0 ]. % 23.54/23.80 apply (zenon_L33_); trivial. % 23.54/23.80 apply (zenon_L37_); trivial. % 23.54/23.80 (* end of lemma zenon_L298_ *) % 23.54/23.80 assert (zenon_L299_ : ((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12)))) -> ((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12))) -> ((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((op2 (e20) (e20)) = (e20)) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((h4 (op1 (e12) (e12))) = (op2 (h4 (e12)) (h4 (e12))))) -> ((h4 (e10)) = (op2 (e23) (e23))) -> ((h4 (e12)) = (op2 (op2 (e23) (e23)) (e23))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e22)) = (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((e22) = (op2 (op2 (e23) (e23)) (e23))) -> ((e20) = (op2 (e23) (e23))) -> ((~((op2 (e22) (e22)) = (e23)))\/((op2 (e22) (e23)) = (e22))) -> (~((op2 (e22) (e22)) = (e23))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12))) -> ((e10) = (op1 (e13) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((e11) = (op1 (op1 (op1 (e13) (e13)) (e13)) (e13))) -> ((e12) = (op1 (op1 (e13) (e13)) (e13))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((e10) = (e11))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> ((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12))) -> ((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10))) -> ((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e10) (e11)) = (e10))) -> ((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> False). % 23.54/23.80 do 0 intro. intros zenon_H28c zenon_Hd1 zenon_Hce zenon_H164 zenon_H1a zenon_H30c zenon_H308 zenon_H264 zenon_H2fd zenon_H3b zenon_H26a zenon_H112 zenon_H11a zenon_H2db zenon_H1c2 zenon_H1c4 zenon_H1c1 zenon_H1cb zenon_H1a8 zenon_H14e zenon_H14 zenon_H1ca zenon_H1c5 zenon_H171 zenon_H18d zenon_H191 zenon_Hcf zenon_Hc8 zenon_H28 zenon_Ha6 zenon_Hbc zenon_H87 zenon_H4d zenon_Hc0 zenon_H9d zenon_H9a zenon_H8f zenon_H8b zenon_H7b zenon_H75 zenon_H6f zenon_H68 zenon_H96 zenon_H80 zenon_H86 zenon_H95 zenon_H62 zenon_H94 zenon_H120 zenon_H9e zenon_H5a zenon_H53 zenon_H4c zenon_H5c zenon_Hb7 zenon_Hb8 zenon_Hb1 zenon_Hb4. % 23.54/23.80 apply (zenon_or_s _ _ zenon_H28c); [ zenon_intro zenon_Hbf | zenon_intro zenon_H28b ]. % 23.54/23.80 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H2e | zenon_intro zenon_Hb5 ]. % 23.54/23.80 apply (zenon_L296_); trivial. % 23.54/23.80 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_H99 | zenon_intro zenon_Hb6 ]. % 23.54/23.80 exact (zenon_H96 zenon_H99). % 23.54/23.80 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_H6d | zenon_intro zenon_Ha0 ]. % 23.54/23.80 apply (zenon_L39_); trivial. % 23.54/23.80 apply (zenon_L37_); trivial. % 23.54/23.80 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H2e | zenon_intro zenon_Hb5 ]. % 23.54/23.80 apply (zenon_L297_); trivial. % 23.54/23.80 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_H99 | zenon_intro zenon_Hb6 ]. % 23.54/23.80 exact (zenon_H96 zenon_H99). % 23.54/23.80 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_H6d | zenon_intro zenon_Ha0 ]. % 23.54/23.80 apply (zenon_L39_); trivial. % 23.54/23.80 apply (zenon_L37_); trivial. % 23.54/23.80 (* end of lemma zenon_L299_ *) % 23.54/23.80 assert (zenon_L300_ : ((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10)))) -> ((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10))) -> ((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12)))) -> ((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12))) -> ((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((op2 (e20) (e20)) = (e20)) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((h4 (op1 (e12) (e12))) = (op2 (h4 (e12)) (h4 (e12))))) -> ((h4 (e10)) = (op2 (e23) (e23))) -> ((h4 (e12)) = (op2 (op2 (e23) (e23)) (e23))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e22)) = (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((e22) = (op2 (op2 (e23) (e23)) (e23))) -> ((e20) = (op2 (e23) (e23))) -> ((~((op2 (e22) (e22)) = (e23)))\/((op2 (e22) (e23)) = (e22))) -> (~((op2 (e22) (e22)) = (e23))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12))) -> ((e10) = (op1 (e13) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((e11) = (op1 (op1 (op1 (e13) (e13)) (e13)) (e13))) -> ((e12) = (op1 (op1 (e13) (e13)) (e13))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((e11) = (e12))) -> (~((e10) = (e11))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> ((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12))) -> ((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11)))) -> False). % 23.54/23.80 do 0 intro. intros zenon_Hba zenon_Hb8 zenon_H28c zenon_Hd1 zenon_Hce zenon_H164 zenon_H1a zenon_H30c zenon_H308 zenon_H264 zenon_H2fd zenon_H3b zenon_H26a zenon_H112 zenon_H11a zenon_H2db zenon_H1c2 zenon_H1c4 zenon_H1c1 zenon_H1cb zenon_H1a8 zenon_H14e zenon_H14 zenon_H1ca zenon_H1c5 zenon_H171 zenon_H18d zenon_H191 zenon_Hcf zenon_Hc8 zenon_H28 zenon_Ha6 zenon_Hbc zenon_H87 zenon_H4d zenon_Hc0 zenon_H9d zenon_H9a zenon_H8f zenon_H8b zenon_H7b zenon_H75 zenon_H6f zenon_H68 zenon_H80 zenon_H86 zenon_H95 zenon_H62 zenon_H94 zenon_H120 zenon_H9e zenon_H5c zenon_H4c zenon_H53 zenon_H5a zenon_Hb1 zenon_Hb4 zenon_Hbb. % 23.54/23.80 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H5b | zenon_intro zenon_Hb7 ]. % 23.54/23.80 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H96 | zenon_intro zenon_H96 ]. % 23.54/23.80 apply (zenon_L298_); trivial. % 23.54/23.80 apply (zenon_L298_); trivial. % 23.54/23.80 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H96 | zenon_intro zenon_H96 ]. % 23.54/23.80 apply (zenon_L299_); trivial. % 23.54/23.80 apply (zenon_L299_); trivial. % 23.54/23.80 (* end of lemma zenon_L300_ *) % 23.54/23.80 assert (zenon_L301_ : ((~((op2 (e22) (e22)) = (e22)))\/((op2 (e22) (e22)) = (e22))) -> ((op2 (e22) (e20)) = (e22)) -> ((((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e11) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e11) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e11) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e12) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e12) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e12) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e13) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e13) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e13) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))\/(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))))))))))))))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10))) -> ((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12))) -> ((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((op2 (e20) (e20)) = (e20)) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((h4 (op1 (e12) (e12))) = (op2 (h4 (e12)) (h4 (e12))))) -> ((h4 (e10)) = (op2 (e23) (e23))) -> ((h4 (e12)) = (op2 (op2 (e23) (e23)) (e23))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((e22) = (op2 (op2 (e23) (e23)) (e23))) -> ((e20) = (op2 (e23) (e23))) -> ((~((op2 (e22) (e22)) = (e23)))\/((op2 (e22) (e23)) = (e22))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((e11) = (op1 (op1 (op1 (e13) (e13)) (e13)) (e13))) -> ((e12) = (op1 (op1 (e13) (e13)) (e13))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((e11) = (e12))) -> (~((e10) = (e11))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> ((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12))) -> ((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> ((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))) -> ((e10) = (op1 (e13) (e13))) -> False). % 23.54/23.80 do 0 intro. intros zenon_H222 zenon_H1d0 zenon_H135 zenon_H132 zenon_H12c zenon_H12f zenon_H121 zenon_H101 zenon_H107 zenon_H11d zenon_Hf3 zenon_Hf9 zenon_Hfe zenon_H10f zenon_Heb zenon_He7 zenon_Hdb zenon_Hc9 zenon_Hb8 zenon_Hd1 zenon_Hce zenon_H164 zenon_H1a zenon_H30c zenon_H308 zenon_H264 zenon_H2fd zenon_H3b zenon_H26a zenon_H112 zenon_H11a zenon_H2db zenon_H1c2 zenon_H1c1 zenon_H1cb zenon_H1a8 zenon_H14e zenon_H14 zenon_H1ca zenon_H171 zenon_H18d zenon_H191 zenon_Hcf zenon_Hc8 zenon_Ha6 zenon_Hbc zenon_H87 zenon_H4d zenon_Hc0 zenon_H9d zenon_H9a zenon_H8f zenon_H8b zenon_H7b zenon_H75 zenon_H6f zenon_H68 zenon_H80 zenon_H86 zenon_H95 zenon_H62 zenon_H94 zenon_H120 zenon_H9e zenon_H5c zenon_H4c zenon_H53 zenon_H5a zenon_Hb1 zenon_Hb4 zenon_H27 zenon_H28. % 23.54/23.80 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H16f ]. % 23.54/23.80 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H1a7 ]. % 23.54/23.80 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H2c | zenon_intro zenon_H136 ]. % 23.54/23.80 apply (zenon_L7_); trivial. % 23.54/23.80 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H34 | zenon_intro zenon_H137 ]. % 23.54/23.80 apply (zenon_L8_); trivial. % 23.54/23.80 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H36 | zenon_intro zenon_H138 ]. % 23.54/23.80 apply (zenon_L9_); trivial. % 23.54/23.80 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H38 | zenon_intro zenon_H139 ]. % 23.54/23.80 apply (zenon_L10_); trivial. % 23.54/23.80 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H13b | zenon_intro zenon_H13a ]. % 23.54/23.80 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_H63. zenon_intro zenon_H13c. % 23.54/23.80 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_Hba. zenon_intro zenon_H13d. % 23.54/23.80 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_Hbb. zenon_intro zenon_H13e. % 23.54/23.80 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_H28c. zenon_intro zenon_H28e. % 23.54/23.80 apply (zenon_L300_); trivial. % 23.54/23.80 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H140 | zenon_intro zenon_H13f ]. % 23.54/23.80 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H99. zenon_intro zenon_H13c. % 23.54/23.80 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_Hba. zenon_intro zenon_H13d. % 23.54/23.80 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_Hbb. zenon_intro zenon_H13e. % 23.54/23.80 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_H28c. zenon_intro zenon_H28e. % 23.54/23.80 apply (zenon_L300_); trivial. % 23.54/23.80 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H142 | zenon_intro zenon_H141 ]. % 23.54/23.80 apply (zenon_and_s _ _ zenon_H142). zenon_intro zenon_H6e. zenon_intro zenon_H13c. % 23.54/23.80 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_Hba. zenon_intro zenon_H13d. % 23.54/23.80 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_Hbb. zenon_intro zenon_H13e. % 23.54/23.80 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_H28c. zenon_intro zenon_H28e. % 23.54/23.80 apply (zenon_L300_); trivial. % 23.54/23.80 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H144 | zenon_intro zenon_H143 ]. % 23.54/23.80 apply (zenon_and_s _ _ zenon_H144). zenon_intro zenon_He4. zenon_intro zenon_H13c. % 23.54/23.80 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_Hba. zenon_intro zenon_H13d. % 23.54/23.80 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_Hbb. zenon_intro zenon_H13e. % 23.54/23.80 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_H28c. zenon_intro zenon_H28e. % 23.54/23.80 apply (zenon_L300_); trivial. % 23.54/23.80 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H145 ]. % 23.54/23.80 apply (zenon_L47_); trivial. % 23.65/23.81 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_He1 | zenon_intro zenon_H146 ]. % 23.65/23.81 apply (zenon_L49_); trivial. % 23.65/23.81 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_He2 | zenon_intro zenon_H147 ]. % 23.65/23.81 apply (zenon_L50_); trivial. % 23.65/23.81 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_Hea | zenon_intro zenon_H148 ]. % 23.65/23.81 apply (zenon_L53_); trivial. % 23.65/23.81 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H149 ]. % 23.65/23.81 apply (zenon_L55_); trivial. % 23.65/23.81 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H124 | zenon_intro zenon_H14a ]. % 23.65/23.81 apply (zenon_L78_); trivial. % 23.65/23.81 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_H133 | zenon_intro zenon_H134 ]. % 23.65/23.81 apply (zenon_L91_); trivial. % 23.65/23.81 apply (zenon_L92_); trivial. % 23.65/23.81 apply (zenon_L116_); trivial. % 23.65/23.81 apply (zenon_L147_); trivial. % 23.65/23.81 (* end of lemma zenon_L301_ *) % 23.65/23.81 assert (zenon_L302_ : ((~((op2 (e22) (e22)) = (e20)))\/((op2 (e22) (e20)) = (e22))) -> ((e10) = (op1 (e13) (e13))) -> ((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> ((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10))) -> ((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((e10) = (e11))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((e12) = (op1 (op1 (e13) (e13)) (e13))) -> ((e11) = (op1 (op1 (op1 (e13) (e13)) (e13)) (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (e21))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((h4 (e12)) = (op2 (op2 (e23) (e23)) (e23))) -> ((h4 (e10)) = (op2 (e23) (e23))) -> (~((h4 (op1 (e12) (e12))) = (op2 (h4 (e12)) (h4 (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> ((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12))) -> ((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12))) -> ((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> ((((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e11) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e11) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e11) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e12) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e12) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e12) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e13) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e13) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e13) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))\/(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))))))))))))))))) -> ((~((op2 (e22) (e22)) = (e23)))\/((op2 (e22) (e23)) = (e22))) -> ((e20) = (op2 (e23) (e23))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((e21) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> ((e22) = (op2 (op2 (e23) (e23)) (e23))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> ((~((op2 (e21) (e21)) = (e20)))\/((op2 (e21) (e20)) = (e21))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((e21) = (e22))) -> (~((op2 (e21) (e21)) = (e21))) -> (~((e20) = (e21))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> ((op2 (e20) (e20)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((~((op2 (e21) (e21)) = (e22)))\/((op2 (e21) (e22)) = (e21))) -> ((~((op2 (e22) (e22)) = (e22)))\/((op2 (e22) (e22)) = (e22))) -> False). % 23.65/23.81 do 0 intro. intros zenon_H1d3 zenon_H28 zenon_H27 zenon_Hb4 zenon_Hb1 zenon_H5a zenon_H53 zenon_H4c zenon_H5c zenon_H9e zenon_H120 zenon_H94 zenon_H62 zenon_H95 zenon_H86 zenon_H80 zenon_H68 zenon_H6f zenon_H75 zenon_H7b zenon_H8b zenon_H8f zenon_H9a zenon_H9d zenon_Hc0 zenon_H4d zenon_H87 zenon_Hbc zenon_Ha6 zenon_Hc8 zenon_Hcf zenon_H1cb zenon_H1c1 zenon_H2db zenon_H11a zenon_H112 zenon_H26a zenon_H3b zenon_H2fd zenon_H264 zenon_H308 zenon_H30c zenon_Hce zenon_Hd1 zenon_Hb8 zenon_Hc9 zenon_Hdb zenon_He7 zenon_Heb zenon_H10f zenon_Hfe zenon_Hf9 zenon_Hf3 zenon_H11d zenon_H107 zenon_H101 zenon_H121 zenon_H12f zenon_H12c zenon_H132 zenon_H135 zenon_H1ca zenon_H14 zenon_H1a8 zenon_H1be zenon_H189 zenon_H14e zenon_H1c2 zenon_H19f zenon_H19b zenon_H191 zenon_H18d zenon_H17d zenon_H177 zenon_H171 zenon_H16a zenon_H193 zenon_H182 zenon_H188 zenon_H194 zenon_H1a zenon_H164 zenon_H19e zenon_H222. % 23.65/23.81 apply (zenon_or_s _ _ zenon_H1d3); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H1d0 ]. % 23.65/23.81 apply (zenon_L233_); trivial. % 23.65/23.81 apply (zenon_L301_); trivial. % 23.65/23.81 (* end of lemma zenon_L302_ *) % 23.65/23.81 assert (zenon_L303_ : ((~((op2 (e22) (e22)) = (e20)))\/((op2 (e22) (e20)) = (e22))) -> ((((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e11) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e11) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e11) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e12) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e12) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e12) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e13) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e13) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e13) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))\/(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))))))))))))))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10))) -> ((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12))) -> ((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((h4 (op1 (e12) (e12))) = (op2 (h4 (e12)) (h4 (e12))))) -> ((h4 (e10)) = (op2 (e23) (e23))) -> ((h4 (e12)) = (op2 (op2 (e23) (e23)) (e23))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((e11) = (op1 (op1 (op1 (e13) (e13)) (e13)) (e13))) -> ((e12) = (op1 (op1 (e13) (e13)) (e13))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((e11) = (e12))) -> (~((e10) = (e11))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> ((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12))) -> ((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> ((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))) -> ((e10) = (op1 (e13) (e13))) -> (~((op2 (e22) (e21)) = (e22))) -> ((~((op2 (e22) (e22)) = (e21)))\/((op2 (e22) (e21)) = (e22))) -> ((~((op2 (e22) (e22)) = (e23)))\/((op2 (e22) (e23)) = (e22))) -> ((e20) = (op2 (e23) (e23))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((e21) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> ((e22) = (op2 (op2 (e23) (e23)) (e23))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> ((~((op2 (e21) (e21)) = (e20)))\/((op2 (e21) (e20)) = (e21))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((e21) = (e22))) -> (~((op2 (e21) (e21)) = (e21))) -> (~((e20) = (e21))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> ((op2 (e20) (e20)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((~((op2 (e21) (e21)) = (e22)))\/((op2 (e21) (e22)) = (e21))) -> ((~((op2 (e22) (e22)) = (e22)))\/((op2 (e22) (e22)) = (e22))) -> False). % 23.65/23.81 do 0 intro. intros zenon_H1d3 zenon_H135 zenon_H132 zenon_H12c zenon_H12f zenon_H121 zenon_H101 zenon_H107 zenon_H11d zenon_Hf3 zenon_Hf9 zenon_Hfe zenon_H10f zenon_Heb zenon_He7 zenon_Hdb zenon_Hc9 zenon_Hb8 zenon_Hd1 zenon_Hce zenon_H30c zenon_H308 zenon_H264 zenon_H2fd zenon_H3b zenon_H26a zenon_H112 zenon_H11a zenon_H2db zenon_H1cb zenon_Hcf zenon_Hc8 zenon_Ha6 zenon_Hbc zenon_H87 zenon_H4d zenon_Hc0 zenon_H9d zenon_H9a zenon_H8f zenon_H8b zenon_H7b zenon_H75 zenon_H6f zenon_H68 zenon_H80 zenon_H86 zenon_H95 zenon_H62 zenon_H94 zenon_H120 zenon_H9e zenon_H5c zenon_H4c zenon_H53 zenon_H5a zenon_Hb1 zenon_Hb4 zenon_H27 zenon_H28 zenon_H28f zenon_H1d4 zenon_H1ca zenon_H14 zenon_H1a8 zenon_H1be zenon_H189 zenon_H14e zenon_H1c2 zenon_H19f zenon_H19b zenon_H191 zenon_H18d zenon_H17d zenon_H177 zenon_H171 zenon_H16a zenon_H193 zenon_H182 zenon_H188 zenon_H194 zenon_H1a zenon_H164 zenon_H19e zenon_H222. % 23.65/23.81 apply (zenon_or_s _ _ zenon_H1d3); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H1d0 ]. % 23.65/23.81 apply (zenon_L233_); trivial. % 23.65/23.81 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1d1 ]. % 23.65/23.81 apply (zenon_L301_); trivial. % 23.65/23.81 exact (zenon_H28f zenon_H1d1). % 23.65/23.81 (* end of lemma zenon_L303_ *) % 23.65/23.81 assert (zenon_L304_ : ((~((op2 (e22) (e22)) = (e21)))\/(~((op2 (e22) (e21)) = (e22)))) -> ((~((op2 (e22) (e22)) = (e21)))\/((op2 (e22) (e21)) = (e22))) -> ((~((op2 (e22) (e22)) = (e20)))\/((op2 (e22) (e20)) = (e22))) -> ((e10) = (op1 (e13) (e13))) -> ((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> ((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10))) -> ((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((e10) = (e11))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((e12) = (op1 (op1 (e13) (e13)) (e13))) -> ((e11) = (op1 (op1 (op1 (e13) (e13)) (e13)) (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((h4 (e12)) = (op2 (op2 (e23) (e23)) (e23))) -> ((h4 (e10)) = (op2 (e23) (e23))) -> (~((h4 (op1 (e12) (e12))) = (op2 (h4 (e12)) (h4 (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> ((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12))) -> ((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12))) -> ((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> ((((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e11) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e11) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e11) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e12) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e12) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e12) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e13) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e13) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e13) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))\/(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))))))))))))))))) -> ((~((op2 (e22) (e22)) = (e23)))\/((op2 (e22) (e23)) = (e22))) -> ((e20) = (op2 (e23) (e23))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((e21) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> ((e22) = (op2 (op2 (e23) (e23)) (e23))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> ((~((op2 (e21) (e21)) = (e20)))\/((op2 (e21) (e20)) = (e21))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((e21) = (e22))) -> (~((op2 (e21) (e21)) = (e21))) -> (~((e20) = (e21))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((~((op2 (e21) (e21)) = (e22)))\/((op2 (e21) (e22)) = (e21))) -> ((~((op2 (e22) (e22)) = (e22)))\/((op2 (e22) (e22)) = (e22))) -> ((~((op2 (e20) (e20)) = (e20)))\/((op2 (e20) (e20)) = (e20))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e20)) = (e22))\/((op2 (e20) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (e21))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((~((op2 (e20) (e20)) = (e23)))\/((op2 (e20) (e23)) = (e20))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> False). % 23.65/23.81 do 0 intro. intros zenon_H290 zenon_H1d4 zenon_H1d3 zenon_H28 zenon_H27 zenon_Hb4 zenon_Hb1 zenon_H5a zenon_H53 zenon_H4c zenon_H5c zenon_H9e zenon_H120 zenon_H94 zenon_H62 zenon_H95 zenon_H86 zenon_H80 zenon_H68 zenon_H6f zenon_H75 zenon_H7b zenon_H8b zenon_H8f zenon_H9a zenon_H9d zenon_Hc0 zenon_H4d zenon_H87 zenon_Hbc zenon_Ha6 zenon_Hc8 zenon_Hcf zenon_H1cb zenon_H2db zenon_H11a zenon_H112 zenon_H26a zenon_H3b zenon_H2fd zenon_H264 zenon_H308 zenon_H30c zenon_Hce zenon_Hd1 zenon_Hb8 zenon_Hc9 zenon_Hdb zenon_He7 zenon_Heb zenon_H10f zenon_Hfe zenon_Hf9 zenon_Hf3 zenon_H11d zenon_H107 zenon_H101 zenon_H121 zenon_H12f zenon_H12c zenon_H132 zenon_H135 zenon_H1ca zenon_H14 zenon_H1a8 zenon_H1be zenon_H189 zenon_H14e zenon_H1c2 zenon_H19f zenon_H19b zenon_H191 zenon_H18d zenon_H17d zenon_H177 zenon_H171 zenon_H16a zenon_H193 zenon_H182 zenon_H188 zenon_H194 zenon_H164 zenon_H19e zenon_H222 zenon_H1a0 zenon_H15e zenon_H14d zenon_H15d zenon_H154 zenon_H15b zenon_H1b3 zenon_H1b6. % 23.65/23.81 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H28f ]. % 23.65/23.81 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H1a | zenon_intro zenon_H1b7 ]. % 23.65/23.81 apply (zenon_L302_); trivial. % 23.65/23.81 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H19a | zenon_intro zenon_H1b8 ]. % 23.65/23.81 exact (zenon_H193 zenon_H19a). % 23.65/23.81 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H16f | zenon_intro zenon_H1a2 ]. % 23.65/23.81 apply (zenon_L114_); trivial. % 23.65/23.81 apply (zenon_L118_); trivial. % 23.65/23.81 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H1a | zenon_intro zenon_H1b7 ]. % 23.65/23.81 apply (zenon_L303_); trivial. % 23.65/23.81 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H19a | zenon_intro zenon_H1b8 ]. % 23.65/23.81 exact (zenon_H193 zenon_H19a). % 23.65/23.81 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H16f | zenon_intro zenon_H1a2 ]. % 23.65/23.81 apply (zenon_L114_); trivial. % 23.65/23.81 apply (zenon_L118_); trivial. % 23.65/23.81 (* end of lemma zenon_L304_ *) % 23.65/23.81 assert (zenon_L305_ : ((~((op2 (e22) (e22)) = (e21)))\/(~((op2 (e22) (e21)) = (e22)))) -> ((~((op2 (e22) (e22)) = (e21)))\/((op2 (e22) (e21)) = (e22))) -> ((~((op2 (e22) (e22)) = (e20)))\/((op2 (e22) (e20)) = (e22))) -> ((e10) = (op1 (e13) (e13))) -> ((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> ((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10))) -> ((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((e10) = (e11))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((e12) = (op1 (op1 (e13) (e13)) (e13))) -> ((e11) = (op1 (op1 (op1 (e13) (e13)) (e13)) (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((h4 (e12)) = (op2 (op2 (e23) (e23)) (e23))) -> ((h4 (e10)) = (op2 (e23) (e23))) -> (~((h4 (op1 (e12) (e12))) = (op2 (h4 (e12)) (h4 (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> ((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12))) -> ((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12))) -> ((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> ((((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e11) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e11) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e11) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e12) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e12) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e12) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e13) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e13) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e13) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))\/(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))))))))))))))))) -> ((~((op2 (e22) (e22)) = (e23)))\/((op2 (e22) (e23)) = (e22))) -> ((e20) = (op2 (e23) (e23))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((e21) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> ((e22) = (op2 (op2 (e23) (e23)) (e23))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> ((~((op2 (e21) (e21)) = (e20)))\/((op2 (e21) (e20)) = (e21))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((e21) = (e22))) -> (~((op2 (e21) (e21)) = (e21))) -> (~((e20) = (e21))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((~((op2 (e21) (e21)) = (e22)))\/((op2 (e21) (e22)) = (e21))) -> ((~((op2 (e22) (e22)) = (e22)))\/((op2 (e22) (e22)) = (e22))) -> ((~((op2 (e20) (e20)) = (e20)))\/((op2 (e20) (e20)) = (e20))) -> ((~((op2 (e20) (e20)) = (e23)))\/((op2 (e20) (e23)) = (e20))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e20)) = (e22))\/((op2 (e20) (e20)) = (e23))))) -> (~((op2 (e20) (e21)) = (e20))) -> ((~((op2 (e20) (e20)) = (e21)))\/((op2 (e20) (e21)) = (e20))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> False). % 23.65/23.81 do 0 intro. intros zenon_H290 zenon_H1d4 zenon_H1d3 zenon_H28 zenon_H27 zenon_Hb4 zenon_Hb1 zenon_H5a zenon_H53 zenon_H4c zenon_H5c zenon_H9e zenon_H120 zenon_H94 zenon_H62 zenon_H95 zenon_H86 zenon_H80 zenon_H68 zenon_H6f zenon_H75 zenon_H7b zenon_H8b zenon_H8f zenon_H9a zenon_H9d zenon_Hc0 zenon_H4d zenon_H87 zenon_Hbc zenon_Ha6 zenon_Hc8 zenon_Hcf zenon_H1cb zenon_H2db zenon_H11a zenon_H112 zenon_H26a zenon_H3b zenon_H2fd zenon_H264 zenon_H308 zenon_H30c zenon_Hce zenon_Hd1 zenon_Hb8 zenon_Hc9 zenon_Hdb zenon_He7 zenon_Heb zenon_H10f zenon_Hfe zenon_Hf9 zenon_Hf3 zenon_H11d zenon_H107 zenon_H101 zenon_H121 zenon_H12f zenon_H12c zenon_H132 zenon_H135 zenon_H1ca zenon_H14 zenon_H1a8 zenon_H1be zenon_H189 zenon_H14e zenon_H1c2 zenon_H19f zenon_H19b zenon_H191 zenon_H18d zenon_H17d zenon_H177 zenon_H171 zenon_H16a zenon_H193 zenon_H182 zenon_H188 zenon_H194 zenon_H164 zenon_H19e zenon_H222 zenon_H1a0 zenon_H15b zenon_H154 zenon_H14d zenon_H15e zenon_H1b9 zenon_H1ba zenon_H1b3 zenon_H1b6. % 23.65/23.81 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H28f ]. % 23.65/23.81 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H1a | zenon_intro zenon_H1b7 ]. % 23.65/23.81 apply (zenon_L302_); trivial. % 23.65/23.81 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H19a | zenon_intro zenon_H1b8 ]. % 23.65/23.81 exact (zenon_H193 zenon_H19a). % 23.65/23.81 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H16f | zenon_intro zenon_H1a2 ]. % 23.65/23.81 apply (zenon_L120_); trivial. % 23.65/23.81 apply (zenon_L118_); trivial. % 23.65/23.81 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H1a | zenon_intro zenon_H1b7 ]. % 23.65/23.81 apply (zenon_L303_); trivial. % 23.65/23.81 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H19a | zenon_intro zenon_H1b8 ]. % 23.65/23.81 exact (zenon_H193 zenon_H19a). % 23.65/23.81 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H16f | zenon_intro zenon_H1a2 ]. % 23.65/23.81 apply (zenon_L120_); trivial. % 23.65/23.81 apply (zenon_L118_); trivial. % 23.65/23.81 (* end of lemma zenon_L305_ *) % 23.65/23.81 assert (zenon_L306_ : ((~((op2 (e20) (e20)) = (e21)))\/(~((op2 (e20) (e21)) = (e20)))) -> ((~((op2 (e20) (e20)) = (e21)))\/((op2 (e20) (e21)) = (e20))) -> ((~((op2 (e22) (e22)) = (e21)))\/(~((op2 (e22) (e21)) = (e22)))) -> ((~((op2 (e22) (e22)) = (e21)))\/((op2 (e22) (e21)) = (e22))) -> ((~((op2 (e22) (e22)) = (e20)))\/((op2 (e22) (e20)) = (e22))) -> ((e10) = (op1 (e13) (e13))) -> ((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> ((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10))) -> ((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((e10) = (e11))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((e12) = (op1 (op1 (e13) (e13)) (e13))) -> ((e11) = (op1 (op1 (op1 (e13) (e13)) (e13)) (e13))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e22) (e21)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((h4 (e12)) = (op2 (op2 (e23) (e23)) (e23))) -> ((h4 (e10)) = (op2 (e23) (e23))) -> (~((h4 (op1 (e12) (e12))) = (op2 (h4 (e12)) (h4 (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e22) (e20)) = (e20))\/(((op2 (e22) (e21)) = (e20))\/(((op2 (e22) (e22)) = (e20))\/((op2 (e22) (e23)) = (e20))))) -> ((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12))) -> ((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12))) -> ((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> ((((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e11) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e11) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e11) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e12) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e12) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e12) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e13) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e13) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e13) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))\/(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))))))))))))))))) -> ((~((op2 (e22) (e22)) = (e23)))\/((op2 (e22) (e23)) = (e22))) -> ((e20) = (op2 (e23) (e23))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((e21) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> ((e22) = (op2 (op2 (e23) (e23)) (e23))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> ((~((op2 (e21) (e21)) = (e20)))\/((op2 (e21) (e20)) = (e21))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((e21) = (e22))) -> (~((e20) = (e21))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((~((op2 (e21) (e21)) = (e22)))\/((op2 (e21) (e22)) = (e21))) -> ((~((op2 (e22) (e22)) = (e22)))\/((op2 (e22) (e22)) = (e22))) -> ((~((op2 (e20) (e20)) = (e20)))\/((op2 (e20) (e20)) = (e20))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e20)) = (e22))\/((op2 (e20) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((~((op2 (e20) (e20)) = (e23)))\/((op2 (e20) (e23)) = (e20))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> ((~((op2 (e21) (e21)) = (e21)))\/(~((op2 (e21) (e21)) = (e21)))) -> False). % 23.65/23.81 do 0 intro. intros zenon_H1bc zenon_H1ba zenon_H290 zenon_H1d4 zenon_H1d3 zenon_H28 zenon_H27 zenon_Hb4 zenon_Hb1 zenon_H5a zenon_H53 zenon_H4c zenon_H5c zenon_H9e zenon_H120 zenon_H94 zenon_H62 zenon_H95 zenon_H86 zenon_H80 zenon_H68 zenon_H6f zenon_H75 zenon_H7b zenon_H8b zenon_H8f zenon_H9a zenon_H9d zenon_Hc0 zenon_H4d zenon_H87 zenon_Hbc zenon_Ha6 zenon_Hc8 zenon_Hcf zenon_H1cb zenon_H2db zenon_H11a zenon_H112 zenon_H26a zenon_H3b zenon_H2fd zenon_H264 zenon_H308 zenon_H30c zenon_Hce zenon_Hd1 zenon_Hb8 zenon_Hc9 zenon_Hdb zenon_He7 zenon_Heb zenon_H10f zenon_Hfe zenon_Hf9 zenon_Hf3 zenon_H11d zenon_H107 zenon_H101 zenon_H121 zenon_H12f zenon_H12c zenon_H132 zenon_H135 zenon_H1ca zenon_H14 zenon_H1a8 zenon_H1be zenon_H189 zenon_H14e zenon_H1c2 zenon_H19f zenon_H19b zenon_H191 zenon_H18d zenon_H17d zenon_H177 zenon_H171 zenon_H16a zenon_H182 zenon_H188 zenon_H194 zenon_H164 zenon_H19e zenon_H222 zenon_H1a0 zenon_H15e zenon_H14d zenon_H154 zenon_H15b zenon_H1b3 zenon_H1b6 zenon_H1bd. % 23.65/23.81 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H15d | zenon_intro zenon_H1b9 ]. % 23.65/23.81 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H193 | zenon_intro zenon_H193 ]. % 23.65/23.81 apply (zenon_L304_); trivial. % 23.65/23.81 apply (zenon_L304_); trivial. % 23.65/23.81 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H193 | zenon_intro zenon_H193 ]. % 23.65/23.81 apply (zenon_L305_); trivial. % 23.65/23.81 apply (zenon_L305_); trivial. % 23.65/23.81 (* end of lemma zenon_L306_ *) % 23.65/23.81 assert (zenon_L307_ : (~((h4 (op1 (e12) (e13))) = (op2 (h4 (e12)) (h4 (e13))))) -> ((h4 (e11)) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> ((op1 (e12) (e13)) = (e11)) -> ((h4 (e13)) = (e23)) -> ((h4 (e12)) = (op2 (op2 (e23) (e23)) (e23))) -> False). % 23.65/23.81 do 0 intro. intros zenon_H30f zenon_H238 zenon_H310 zenon_H26d zenon_H26a. % 23.65/23.81 cut (((h4 (e11)) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) = ((h4 (op1 (e12) (e13))) = (op2 (h4 (e12)) (h4 (e13))))). % 23.65/23.81 intro zenon_D_pnotp. % 23.65/23.81 apply zenon_H30f. % 23.65/23.81 rewrite <- zenon_D_pnotp. % 23.65/23.81 exact zenon_H238. % 23.65/23.81 cut (((op2 (op2 (op2 (e23) (e23)) (e23)) (e23)) = (op2 (h4 (e12)) (h4 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H311]. % 23.65/23.81 cut (((h4 (e11)) = (h4 (op1 (e12) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H312]. % 23.65/23.81 congruence. % 23.65/23.81 elim (classic ((h4 (op1 (e12) (e13))) = (h4 (op1 (e12) (e13))))); [ zenon_intro zenon_H313 | zenon_intro zenon_H314 ]. % 23.65/23.81 cut (((h4 (op1 (e12) (e13))) = (h4 (op1 (e12) (e13)))) = ((h4 (e11)) = (h4 (op1 (e12) (e13))))). % 23.65/23.81 intro zenon_D_pnotp. % 23.65/23.81 apply zenon_H312. % 23.65/23.81 rewrite <- zenon_D_pnotp. % 23.65/23.81 exact zenon_H313. % 23.65/23.81 cut (((h4 (op1 (e12) (e13))) = (h4 (op1 (e12) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H314]. % 23.65/23.81 cut (((h4 (op1 (e12) (e13))) = (h4 (e11)))); [idtac | apply NNPP; zenon_intro zenon_H315]. % 23.65/23.81 congruence. % 23.65/23.81 cut (((op1 (e12) (e13)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H316]. % 23.65/23.81 congruence. % 23.65/23.81 exact (zenon_H316 zenon_H310). % 23.65/23.81 apply zenon_H314. apply refl_equal. % 23.65/23.81 apply zenon_H314. apply refl_equal. % 23.65/23.81 cut (((e23) = (h4 (e13)))); [idtac | apply NNPP; zenon_intro zenon_H297]. % 23.65/23.81 cut (((op2 (op2 (e23) (e23)) (e23)) = (h4 (e12)))); [idtac | apply NNPP; zenon_intro zenon_H317]. % 23.65/23.81 congruence. % 23.65/23.81 apply zenon_H317. apply sym_equal. exact zenon_H26a. % 23.65/23.81 apply zenon_H297. apply sym_equal. exact zenon_H26d. % 23.65/23.81 (* end of lemma zenon_L307_ *) % 23.65/23.81 assert (zenon_L308_ : (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (e13)) (e13))) -> ((e11) = (op1 (op1 (op1 (e13) (e13)) (e13)) (e13))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((h4 (e12)) = (op2 (op2 (e23) (e23)) (e23))) -> ((h4 (e13)) = (e23)) -> ((h4 (e11)) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> (~((h4 (op1 (e12) (e13))) = (op2 (h4 (e12)) (h4 (e13))))) -> (~((op1 (e13) (e13)) = (e11))) -> False). % 23.65/23.81 do 0 intro. intros zenon_H318 zenon_Ha6 zenon_H4d zenon_H87 zenon_H86 zenon_H26a zenon_H26d zenon_H238 zenon_H30f zenon_H319. % 23.65/23.81 apply (zenon_or_s _ _ zenon_H318); [ zenon_intro zenon_H10c | zenon_intro zenon_H31a ]. % 23.65/23.81 apply (zenon_L62_); trivial. % 23.65/23.81 apply (zenon_or_s _ _ zenon_H31a); [ zenon_intro zenon_H88 | zenon_intro zenon_H31b ]. % 23.65/23.81 apply (zenon_L26_); trivial. % 23.65/23.81 apply (zenon_or_s _ _ zenon_H31b); [ zenon_intro zenon_H310 | zenon_intro zenon_H31c ]. % 23.65/23.81 apply (zenon_L307_); trivial. % 23.65/23.81 exact (zenon_H319 zenon_H31c). % 23.65/23.81 (* end of lemma zenon_L308_ *) % 23.65/23.81 assert (zenon_L309_ : ((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13)))) -> ((~((op1 (e13) (e13)) = (e11)))\/((op1 (e13) (e11)) = (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e11) = (op1 (op1 (op1 (e13) (e13)) (e13)) (e13))) -> ((e12) = (op1 (op1 (e13) (e13)) (e13))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((h4 (op1 (e12) (e13))) = (op2 (h4 (e12)) (h4 (e13))))) -> ((h4 (e11)) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> ((h4 (e12)) = (op2 (op2 (e23) (e23)) (e23))) -> ((h4 (e13)) = (e23)) -> (((op1 (e10) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e11))\/((op1 (e13) (e13)) = (e11))))) -> False). % 23.65/23.81 do 0 intro. intros zenon_H28e zenon_H31d zenon_Ha6 zenon_H87 zenon_H4d zenon_H86 zenon_H30f zenon_H238 zenon_H26a zenon_H26d zenon_H318. % 23.65/23.81 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H319 | zenon_intro zenon_H31e ]. % 23.65/23.81 apply (zenon_L308_); trivial. % 23.65/23.81 apply (zenon_or_s _ _ zenon_H31d); [ zenon_intro zenon_H319 | zenon_intro zenon_H31f ]. % 23.65/23.81 apply (zenon_L308_); trivial. % 23.65/23.81 exact (zenon_H31e zenon_H31f). % 23.65/23.81 (* end of lemma zenon_L309_ *) % 23.65/23.81 assert (zenon_L310_ : ((h4 (e13)) = (e23)) -> ((op1 (e13) (e10)) = (e13)) -> (~((e23) = (h4 (op1 (e13) (e10))))) -> False). % 23.65/23.81 do 0 intro. intros zenon_H26d zenon_H2b zenon_H320. % 23.65/23.81 elim (classic ((h4 (op1 (e13) (e10))) = (h4 (op1 (e13) (e10))))); [ zenon_intro zenon_H321 | zenon_intro zenon_H322 ]. % 23.65/23.81 cut (((h4 (op1 (e13) (e10))) = (h4 (op1 (e13) (e10)))) = ((e23) = (h4 (op1 (e13) (e10))))). % 23.65/23.81 intro zenon_D_pnotp. % 23.65/23.81 apply zenon_H320. % 23.65/23.81 rewrite <- zenon_D_pnotp. % 23.65/23.81 exact zenon_H321. % 23.65/23.82 cut (((h4 (op1 (e13) (e10))) = (h4 (op1 (e13) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H322]. % 23.65/23.82 cut (((h4 (op1 (e13) (e10))) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H323]. % 23.65/23.82 congruence. % 23.65/23.82 cut (((h4 (e13)) = (e23)) = ((h4 (op1 (e13) (e10))) = (e23))). % 23.65/23.82 intro zenon_D_pnotp. % 23.65/23.82 apply zenon_H323. % 23.65/23.82 rewrite <- zenon_D_pnotp. % 23.65/23.82 exact zenon_H26d. % 23.65/23.82 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H14b]. % 23.65/23.82 cut (((h4 (e13)) = (h4 (op1 (e13) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H324]. % 23.65/23.82 congruence. % 23.65/23.82 elim (classic ((h4 (op1 (e13) (e10))) = (h4 (op1 (e13) (e10))))); [ zenon_intro zenon_H321 | zenon_intro zenon_H322 ]. % 23.65/23.82 cut (((h4 (op1 (e13) (e10))) = (h4 (op1 (e13) (e10)))) = ((h4 (e13)) = (h4 (op1 (e13) (e10))))). % 23.65/23.82 intro zenon_D_pnotp. % 23.65/23.82 apply zenon_H324. % 23.65/23.82 rewrite <- zenon_D_pnotp. % 23.65/23.82 exact zenon_H321. % 23.65/23.82 cut (((h4 (op1 (e13) (e10))) = (h4 (op1 (e13) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H322]. % 23.65/23.82 cut (((h4 (op1 (e13) (e10))) = (h4 (e13)))); [idtac | apply NNPP; zenon_intro zenon_H325]. % 23.65/23.82 congruence. % 23.65/23.82 cut (((op1 (e13) (e10)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H29]. % 23.65/23.82 congruence. % 23.65/23.82 exact (zenon_H29 zenon_H2b). % 23.65/23.82 apply zenon_H322. apply refl_equal. % 23.65/23.82 apply zenon_H322. apply refl_equal. % 23.65/23.82 apply zenon_H14b. apply refl_equal. % 23.65/23.82 apply zenon_H322. apply refl_equal. % 23.65/23.82 apply zenon_H322. apply refl_equal. % 23.65/23.82 (* end of lemma zenon_L310_ *) % 23.65/23.82 assert (zenon_L311_ : ((h4 (e12)) = (op2 (op2 (e23) (e23)) (e23))) -> ((op1 (e13) (e11)) = (e12)) -> ((e22) = (op2 (op2 (e23) (e23)) (e23))) -> (~((e22) = (h4 (op1 (e13) (e11))))) -> False). % 23.65/23.82 do 0 intro. intros zenon_H26a zenon_Hfc zenon_H14e zenon_H326. % 23.65/23.82 elim (classic ((h4 (op1 (e13) (e11))) = (h4 (op1 (e13) (e11))))); [ zenon_intro zenon_H327 | zenon_intro zenon_H328 ]. % 23.65/23.82 cut (((h4 (op1 (e13) (e11))) = (h4 (op1 (e13) (e11)))) = ((e22) = (h4 (op1 (e13) (e11))))). % 23.65/23.82 intro zenon_D_pnotp. % 23.65/23.82 apply zenon_H326. % 23.65/23.82 rewrite <- zenon_D_pnotp. % 23.65/23.82 exact zenon_H327. % 23.65/23.82 cut (((h4 (op1 (e13) (e11))) = (h4 (op1 (e13) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H328]. % 23.65/23.82 cut (((h4 (op1 (e13) (e11))) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H329]. % 23.65/23.82 congruence. % 23.65/23.82 cut (((h4 (e12)) = (op2 (op2 (e23) (e23)) (e23))) = ((h4 (op1 (e13) (e11))) = (e22))). % 23.65/23.82 intro zenon_D_pnotp. % 23.65/23.82 apply zenon_H329. % 23.65/23.82 rewrite <- zenon_D_pnotp. % 23.65/23.82 exact zenon_H26a. % 23.65/23.82 cut (((op2 (op2 (e23) (e23)) (e23)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H187]. % 23.65/23.82 cut (((h4 (e12)) = (h4 (op1 (e13) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H32a]. % 23.65/23.82 congruence. % 23.65/23.82 elim (classic ((h4 (op1 (e13) (e11))) = (h4 (op1 (e13) (e11))))); [ zenon_intro zenon_H327 | zenon_intro zenon_H328 ]. % 23.65/23.82 cut (((h4 (op1 (e13) (e11))) = (h4 (op1 (e13) (e11)))) = ((h4 (e12)) = (h4 (op1 (e13) (e11))))). % 23.65/23.82 intro zenon_D_pnotp. % 23.65/23.82 apply zenon_H32a. % 23.65/23.82 rewrite <- zenon_D_pnotp. % 23.65/23.82 exact zenon_H327. % 23.65/23.82 cut (((h4 (op1 (e13) (e11))) = (h4 (op1 (e13) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H328]. % 23.65/23.82 cut (((h4 (op1 (e13) (e11))) = (h4 (e12)))); [idtac | apply NNPP; zenon_intro zenon_H32b]. % 23.65/23.82 congruence. % 23.65/23.82 cut (((op1 (e13) (e11)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_Hfd]. % 23.65/23.82 congruence. % 23.65/23.82 exact (zenon_Hfd zenon_Hfc). % 23.65/23.82 apply zenon_H328. apply refl_equal. % 23.65/23.82 apply zenon_H328. apply refl_equal. % 23.65/23.82 apply zenon_H187. apply sym_equal. exact zenon_H14e. % 23.65/23.82 apply zenon_H328. apply refl_equal. % 23.65/23.82 apply zenon_H328. apply refl_equal. % 23.65/23.82 (* end of lemma zenon_L311_ *) % 23.65/23.82 assert (zenon_L312_ : ((op2 (e23) (e21)) = (e22)) -> ((h4 (e13)) = (e23)) -> ((h4 (e11)) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> ((e21) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> ((h4 (e12)) = (op2 (op2 (e23) (e23)) (e23))) -> ((e22) = (op2 (op2 (e23) (e23)) (e23))) -> ((op1 (e13) (e11)) = (e12)) -> (~((h4 (op1 (e13) (e11))) = (op2 (h4 (e13)) (h4 (e11))))) -> False). % 23.65/23.82 do 0 intro. intros zenon_H1fe zenon_H26d zenon_H238 zenon_H189 zenon_H26a zenon_H14e zenon_Hfc zenon_H32c. % 23.65/23.82 elim (classic ((op2 (h4 (e13)) (h4 (e11))) = (op2 (h4 (e13)) (h4 (e11))))); [ zenon_intro zenon_H32d | zenon_intro zenon_H32e ]. % 23.65/23.82 cut (((op2 (h4 (e13)) (h4 (e11))) = (op2 (h4 (e13)) (h4 (e11)))) = ((h4 (op1 (e13) (e11))) = (op2 (h4 (e13)) (h4 (e11))))). % 23.65/23.82 intro zenon_D_pnotp. % 23.65/23.82 apply zenon_H32c. % 23.65/23.82 rewrite <- zenon_D_pnotp. % 23.65/23.82 exact zenon_H32d. % 23.65/23.82 cut (((op2 (h4 (e13)) (h4 (e11))) = (op2 (h4 (e13)) (h4 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H32e]. % 23.65/23.82 cut (((op2 (h4 (e13)) (h4 (e11))) = (h4 (op1 (e13) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H32f]. % 23.65/23.82 congruence. % 23.65/23.82 cut (((op2 (e23) (e21)) = (e22)) = ((op2 (h4 (e13)) (h4 (e11))) = (h4 (op1 (e13) (e11))))). % 23.65/23.82 intro zenon_D_pnotp. % 23.65/23.82 apply zenon_H32f. % 23.65/23.82 rewrite <- zenon_D_pnotp. % 23.65/23.82 exact zenon_H1fe. % 23.65/23.82 cut (((e22) = (h4 (op1 (e13) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H326]. % 23.65/23.82 cut (((op2 (e23) (e21)) = (op2 (h4 (e13)) (h4 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H330]. % 23.65/23.82 congruence. % 23.65/23.82 elim (classic ((op2 (h4 (e13)) (h4 (e11))) = (op2 (h4 (e13)) (h4 (e11))))); [ zenon_intro zenon_H32d | zenon_intro zenon_H32e ]. % 23.65/23.82 cut (((op2 (h4 (e13)) (h4 (e11))) = (op2 (h4 (e13)) (h4 (e11)))) = ((op2 (e23) (e21)) = (op2 (h4 (e13)) (h4 (e11))))). % 23.65/23.82 intro zenon_D_pnotp. % 23.65/23.82 apply zenon_H330. % 23.65/23.82 rewrite <- zenon_D_pnotp. % 23.65/23.82 exact zenon_H32d. % 23.65/23.82 cut (((op2 (h4 (e13)) (h4 (e11))) = (op2 (h4 (e13)) (h4 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H32e]. % 23.65/23.82 cut (((op2 (h4 (e13)) (h4 (e11))) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H331]. % 23.65/23.82 congruence. % 23.65/23.82 cut (((h4 (e11)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H237]. % 23.65/23.82 cut (((h4 (e13)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H2c9]. % 23.65/23.82 congruence. % 23.65/23.82 exact (zenon_H2c9 zenon_H26d). % 23.65/23.82 apply (zenon_L175_); trivial. % 23.65/23.82 apply zenon_H32e. apply refl_equal. % 23.65/23.82 apply zenon_H32e. apply refl_equal. % 23.65/23.82 apply (zenon_L311_); trivial. % 23.65/23.82 apply zenon_H32e. apply refl_equal. % 23.65/23.82 apply zenon_H32e. apply refl_equal. % 23.65/23.82 (* end of lemma zenon_L312_ *) % 23.65/23.82 assert (zenon_L313_ : (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> ((e10) = (op1 (e13) (e13))) -> ((e12) = (op1 (op1 (e13) (e13)) (e13))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (e12))) -> ((op1 (e12) (e10)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((op2 (e23) (e21)) = (e22)) -> ((h4 (e13)) = (e23)) -> ((h4 (e11)) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> ((e21) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> ((h4 (e12)) = (op2 (op2 (e23) (e23)) (e23))) -> ((e22) = (op2 (op2 (e23) (e23)) (e23))) -> (~((h4 (op1 (e13) (e11))) = (op2 (h4 (e13)) (h4 (e11))))) -> False). % 23.65/23.82 do 0 intro. intros zenon_Hfe zenon_H28 zenon_H4d zenon_Hf3 zenon_H7c zenon_Hca zenon_Hc9 zenon_H1fe zenon_H26d zenon_H238 zenon_H189 zenon_H26a zenon_H14e zenon_H32c. % 23.65/23.82 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Hf4 | zenon_intro zenon_Hff ]. % 23.65/23.82 apply (zenon_L56_); trivial. % 23.65/23.82 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H7f | zenon_intro zenon_H100 ]. % 23.65/23.82 exact (zenon_H7c zenon_H7f). % 23.65/23.82 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_Hcb | zenon_intro zenon_Hfc ]. % 23.65/23.82 apply (zenon_L45_); trivial. % 23.65/23.82 apply (zenon_L312_); trivial. % 23.65/23.82 (* end of lemma zenon_L313_ *) % 23.65/23.82 assert (zenon_L314_ : ((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (op2 (e23) (e23)) (e23))) -> ((e20) = (op2 (e23) (e23))) -> (~((op2 (e21) (e21)) = (e22))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((op2 (e22) (e20)) = (e22)) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> ((e21) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> ((h4 (e11)) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> ((h4 (e13)) = (e23)) -> ((h4 (e12)) = (op2 (op2 (e23) (e23)) (e23))) -> (~((h4 (op1 (e13) (e11))) = (op2 (h4 (e13)) (h4 (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12))) -> ((e12) = (op1 (op1 (e13) (e13)) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((op1 (e10) (e10)) = (e10)) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (e11))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((e10) = (op1 (e13) (e13))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((e11) = (op1 (op1 (op1 (e13) (e13)) (e13)) (e13))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((e10) = (e11))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> ((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12))) -> False). % 23.65/23.82 do 0 intro. intros zenon_Hce zenon_H1f5 zenon_H14e zenon_H14 zenon_H17e zenon_H1cf zenon_H1d0 zenon_Hfe zenon_H189 zenon_H238 zenon_H26d zenon_H26a zenon_H32c zenon_Hc9 zenon_Hf3 zenon_H200 zenon_Hbc zenon_H9d zenon_H9a zenon_Hc8 zenon_H4d zenon_Ha6 zenon_H62 zenon_H2e zenon_Hc0 zenon_Hbf zenon_H6f zenon_H8b zenon_H28 zenon_H8f zenon_H94 zenon_H95 zenon_H87 zenon_H86 zenon_H80 zenon_H96 zenon_H68 zenon_H75 zenon_H7b zenon_H120. % 23.65/23.82 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H90 | zenon_intro zenon_H66 ]. % 23.65/23.82 apply (zenon_L195_); trivial. % 23.65/23.82 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H7c | zenon_intro zenon_H81 ]. % 23.65/23.82 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_Hc1 | zenon_intro zenon_Hca ]. % 23.65/23.82 apply (zenon_L234_); trivial. % 23.65/23.82 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H1f6 | zenon_intro zenon_H201 ]. % 23.65/23.82 apply (zenon_L138_); trivial. % 23.65/23.82 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H181 | zenon_intro zenon_H202 ]. % 23.65/23.82 exact (zenon_H17e zenon_H181). % 23.65/23.82 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H1fe ]. % 23.65/23.82 apply (zenon_L127_); trivial. % 23.65/23.82 apply (zenon_L313_); trivial. % 23.65/23.82 apply (zenon_L30_); trivial. % 23.65/23.82 (* end of lemma zenon_L314_ *) % 23.65/23.82 assert (zenon_L315_ : (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> ((e10) = (op1 (e13) (e13))) -> ((e12) = (op1 (op1 (e13) (e13)) (e13))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (e12))) -> (~((op1 (e12) (e11)) = (e12))) -> ((op2 (e23) (e21)) = (e22)) -> ((h4 (e13)) = (e23)) -> ((h4 (e11)) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> ((e21) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> ((h4 (e12)) = (op2 (op2 (e23) (e23)) (e23))) -> ((e22) = (op2 (op2 (e23) (e23)) (e23))) -> (~((h4 (op1 (e13) (e11))) = (op2 (h4 (e13)) (h4 (e11))))) -> False). % 23.65/23.82 do 0 intro. intros zenon_Hfe zenon_H28 zenon_H4d zenon_Hf3 zenon_H7c zenon_H28b zenon_H1fe zenon_H26d zenon_H238 zenon_H189 zenon_H26a zenon_H14e zenon_H32c. % 23.65/23.82 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Hf4 | zenon_intro zenon_Hff ]. % 23.65/23.82 apply (zenon_L56_); trivial. % 23.65/23.82 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H7f | zenon_intro zenon_H100 ]. % 23.65/23.82 exact (zenon_H7c zenon_H7f). % 23.65/23.82 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_Hcb | zenon_intro zenon_Hfc ]. % 23.65/23.82 exact (zenon_H28b zenon_Hcb). % 23.65/23.82 apply (zenon_L312_); trivial. % 23.65/23.82 (* end of lemma zenon_L315_ *) % 23.65/23.82 assert (zenon_L316_ : ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((h4 (op1 (e13) (e11))) = (op2 (h4 (e13)) (h4 (e11))))) -> ((h4 (e12)) = (op2 (op2 (e23) (e23)) (e23))) -> ((h4 (e13)) = (e23)) -> ((h4 (e11)) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> ((e21) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> ((op2 (e22) (e20)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e21)) = (e22))) -> ((e20) = (op2 (e23) (e23))) -> ((e22) = (op2 (op2 (e23) (e23)) (e23))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((e10) = (e11))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((e11) = (op1 (op1 (op1 (e13) (e13)) (e13)) (e13))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> ((e10) = (op1 (e13) (e13))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (e13)) (e13))) -> ((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12))) -> (~((op1 (e12) (e11)) = (e12))) -> ((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12))) -> False). % 23.65/23.82 do 0 intro. intros zenon_H9d zenon_H200 zenon_Hf3 zenon_H32c zenon_H26a zenon_H26d zenon_H238 zenon_H189 zenon_Hfe zenon_H1d0 zenon_H1cf zenon_H17e zenon_H14 zenon_H14e zenon_H1f5 zenon_H9a zenon_H120 zenon_H7b zenon_H75 zenon_H68 zenon_H96 zenon_H80 zenon_H86 zenon_H87 zenon_H95 zenon_H94 zenon_H8f zenon_H28 zenon_H8b zenon_H6f zenon_Hc0 zenon_H2e zenon_H62 zenon_Ha6 zenon_H4d zenon_Hc8 zenon_H28b zenon_Hd1. % 23.65/23.82 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H90 | zenon_intro zenon_H66 ]. % 23.65/23.82 apply (zenon_L208_); trivial. % 23.65/23.82 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H7c | zenon_intro zenon_H81 ]. % 23.65/23.82 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H1f6 | zenon_intro zenon_H201 ]. % 23.65/23.82 apply (zenon_L138_); trivial. % 23.65/23.82 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H181 | zenon_intro zenon_H202 ]. % 23.65/23.82 exact (zenon_H17e zenon_H181). % 23.65/23.82 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H1fe ]. % 23.65/23.82 apply (zenon_L127_); trivial. % 23.65/23.82 apply (zenon_L315_); trivial. % 23.65/23.82 apply (zenon_L30_); trivial. % 23.65/23.82 (* end of lemma zenon_L316_ *) % 23.65/23.82 assert (zenon_L317_ : ((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12)))) -> ((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12))) -> ((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (op2 (e23) (e23)) (e23))) -> ((e20) = (op2 (e23) (e23))) -> (~((op2 (e21) (e21)) = (e22))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((op2 (e22) (e20)) = (e22)) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> ((e21) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> ((h4 (e11)) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> ((h4 (e13)) = (e23)) -> ((h4 (e12)) = (op2 (op2 (e23) (e23)) (e23))) -> (~((h4 (op1 (e13) (e11))) = (op2 (h4 (e13)) (h4 (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12))) -> ((e12) = (op1 (op1 (e13) (e13)) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((e10) = (op1 (e13) (e13))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((e11) = (op1 (op1 (op1 (e13) (e13)) (e13)) (e13))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((e10) = (e11))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> ((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12))) -> ((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (e11))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> False). % 23.65/23.82 do 0 intro. intros zenon_H28c zenon_Hd1 zenon_Hce zenon_H1f5 zenon_H14e zenon_H14 zenon_H17e zenon_H1cf zenon_H1d0 zenon_Hfe zenon_H189 zenon_H238 zenon_H26d zenon_H26a zenon_H32c zenon_Hc9 zenon_Hf3 zenon_H200 zenon_Hbc zenon_H9d zenon_H9a zenon_Hc8 zenon_H4d zenon_Ha6 zenon_H62 zenon_Hc0 zenon_H6f zenon_H8b zenon_H28 zenon_H8f zenon_H94 zenon_H95 zenon_H87 zenon_H86 zenon_H80 zenon_H96 zenon_H68 zenon_H75 zenon_H7b zenon_H120 zenon_H9e zenon_H5c zenon_H4c zenon_H5b zenon_H53 zenon_H5a zenon_Hb1 zenon_Hb4. % 23.65/23.82 apply (zenon_or_s _ _ zenon_H28c); [ zenon_intro zenon_Hbf | zenon_intro zenon_H28b ]. % 23.65/23.82 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H2e | zenon_intro zenon_Hb5 ]. % 23.65/23.82 apply (zenon_L314_); trivial. % 23.65/23.82 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_H99 | zenon_intro zenon_Hb6 ]. % 23.65/23.82 exact (zenon_H96 zenon_H99). % 23.65/23.82 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_H6d | zenon_intro zenon_Ha0 ]. % 23.65/23.82 apply (zenon_L33_); trivial. % 23.65/23.82 apply (zenon_L37_); trivial. % 23.65/23.82 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H2e | zenon_intro zenon_Hb5 ]. % 23.65/23.82 apply (zenon_L316_); trivial. % 23.65/23.82 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_H99 | zenon_intro zenon_Hb6 ]. % 23.65/23.82 exact (zenon_H96 zenon_H99). % 23.65/23.82 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_H6d | zenon_intro zenon_Ha0 ]. % 23.65/23.82 apply (zenon_L33_); trivial. % 23.65/23.82 apply (zenon_L37_); trivial. % 23.65/23.82 (* end of lemma zenon_L317_ *) % 23.65/23.82 assert (zenon_L318_ : ((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12)))) -> ((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12))) -> ((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (op2 (e23) (e23)) (e23))) -> ((e20) = (op2 (e23) (e23))) -> (~((op2 (e21) (e21)) = (e22))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((op2 (e22) (e20)) = (e22)) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> ((e21) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> ((h4 (e11)) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> ((h4 (e13)) = (e23)) -> ((h4 (e12)) = (op2 (op2 (e23) (e23)) (e23))) -> (~((h4 (op1 (e13) (e11))) = (op2 (h4 (e13)) (h4 (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12))) -> ((e12) = (op1 (op1 (e13) (e13)) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((e10) = (op1 (e13) (e13))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((e11) = (op1 (op1 (op1 (e13) (e13)) (e13)) (e13))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((e10) = (e11))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> ((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12))) -> ((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10))) -> ((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e10) (e11)) = (e10))) -> ((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> False). % 23.65/23.82 do 0 intro. intros zenon_H28c zenon_Hd1 zenon_Hce zenon_H1f5 zenon_H14e zenon_H14 zenon_H17e zenon_H1cf zenon_H1d0 zenon_Hfe zenon_H189 zenon_H238 zenon_H26d zenon_H26a zenon_H32c zenon_Hc9 zenon_Hf3 zenon_H200 zenon_Hbc zenon_H9d zenon_H9a zenon_Hc8 zenon_H4d zenon_Ha6 zenon_H62 zenon_Hc0 zenon_H6f zenon_H8b zenon_H28 zenon_H8f zenon_H94 zenon_H95 zenon_H87 zenon_H86 zenon_H80 zenon_H96 zenon_H68 zenon_H75 zenon_H7b zenon_H120 zenon_H9e zenon_H5a zenon_H53 zenon_H4c zenon_H5c zenon_Hb7 zenon_Hb8 zenon_Hb1 zenon_Hb4. % 23.65/23.82 apply (zenon_or_s _ _ zenon_H28c); [ zenon_intro zenon_Hbf | zenon_intro zenon_H28b ]. % 23.65/23.82 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H2e | zenon_intro zenon_Hb5 ]. % 23.65/23.82 apply (zenon_L314_); trivial. % 23.65/23.82 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_H99 | zenon_intro zenon_Hb6 ]. % 23.65/23.82 exact (zenon_H96 zenon_H99). % 23.65/23.82 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_H6d | zenon_intro zenon_Ha0 ]. % 23.65/23.82 apply (zenon_L39_); trivial. % 23.65/23.82 apply (zenon_L37_); trivial. % 23.65/23.82 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H2e | zenon_intro zenon_Hb5 ]. % 23.65/23.82 apply (zenon_L316_); trivial. % 23.65/23.82 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_H99 | zenon_intro zenon_Hb6 ]. % 23.65/23.82 exact (zenon_H96 zenon_H99). % 23.65/23.82 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_H6d | zenon_intro zenon_Ha0 ]. % 23.65/23.82 apply (zenon_L39_); trivial. % 23.65/23.82 apply (zenon_L37_); trivial. % 23.65/23.82 (* end of lemma zenon_L318_ *) % 23.65/23.82 assert (zenon_L319_ : ((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10)))) -> ((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10))) -> ((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12)))) -> ((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12))) -> ((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (op2 (e23) (e23)) (e23))) -> ((e20) = (op2 (e23) (e23))) -> (~((op2 (e21) (e21)) = (e22))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((op2 (e22) (e20)) = (e22)) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> ((e21) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> ((h4 (e11)) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> ((h4 (e13)) = (e23)) -> ((h4 (e12)) = (op2 (op2 (e23) (e23)) (e23))) -> (~((h4 (op1 (e13) (e11))) = (op2 (h4 (e13)) (h4 (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12))) -> ((e12) = (op1 (op1 (e13) (e13)) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((e10) = (op1 (e13) (e13))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((e11) = (op1 (op1 (op1 (e13) (e13)) (e13)) (e13))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((e10) = (e11))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> ((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12))) -> ((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11)))) -> False). % 23.65/23.82 do 0 intro. intros zenon_Hba zenon_Hb8 zenon_H28c zenon_Hd1 zenon_Hce zenon_H1f5 zenon_H14e zenon_H14 zenon_H17e zenon_H1cf zenon_H1d0 zenon_Hfe zenon_H189 zenon_H238 zenon_H26d zenon_H26a zenon_H32c zenon_Hc9 zenon_Hf3 zenon_H200 zenon_Hbc zenon_H9d zenon_H9a zenon_Hc8 zenon_H4d zenon_Ha6 zenon_H62 zenon_Hc0 zenon_H6f zenon_H8b zenon_H28 zenon_H8f zenon_H94 zenon_H95 zenon_H87 zenon_H86 zenon_H80 zenon_H68 zenon_H75 zenon_H7b zenon_H120 zenon_H9e zenon_H5c zenon_H4c zenon_H53 zenon_H5a zenon_Hb1 zenon_Hb4 zenon_Hbb. % 23.65/23.82 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H5b | zenon_intro zenon_Hb7 ]. % 23.65/23.82 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H96 | zenon_intro zenon_H96 ]. % 23.65/23.82 apply (zenon_L317_); trivial. % 23.65/23.82 apply (zenon_L317_); trivial. % 23.65/23.82 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H96 | zenon_intro zenon_H96 ]. % 23.65/23.82 apply (zenon_L318_); trivial. % 23.65/23.82 apply (zenon_L318_); trivial. % 23.65/23.82 (* end of lemma zenon_L319_ *) % 23.65/23.82 assert (zenon_L320_ : ((~((op2 (e22) (e22)) = (e20)))\/((op2 (e22) (e20)) = (e22))) -> ((e10) = (op1 (e13) (e13))) -> ((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> ((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10))) -> ((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((e11) = (e12))) -> (~((e10) = (e11))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((e11) = (op1 (op1 (op1 (e13) (e13)) (e13)) (e13))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (e13)) (e13))) -> ((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((h4 (op1 (e13) (e11))) = (op2 (h4 (e13)) (h4 (e11))))) -> ((h4 (e12)) = (op2 (op2 (e23) (e23)) (e23))) -> ((h4 (e13)) = (e23)) -> ((h4 (e11)) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12))) -> ((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12))) -> ((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> ((((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e11) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e11) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e11) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e12) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e12) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e12) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e13) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e13) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e13) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))\/(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))))))))))))))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((~((op2 (e21) (e21)) = (e20)))\/((op2 (e21) (e20)) = (e21))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((~((op2 (e22) (e22)) = (e22)))\/((op2 (e22) (e22)) = (e22))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> ((e21) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((e20) = (e21))) -> (~((op2 (e21) (e21)) = (e21))) -> (~((e21) = (e22))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> ((e20) = (op2 (e23) (e23))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (e21))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> ((op2 (e20) (e20)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((e22) = (op2 (op2 (e23) (e23)) (e23))) -> ((~((op2 (e22) (e22)) = (e23)))\/((op2 (e22) (e23)) = (e22))) -> ((~((op2 (e21) (e21)) = (e22)))\/((op2 (e21) (e22)) = (e21))) -> False). % 23.65/23.82 do 0 intro. intros zenon_H1d3 zenon_H28 zenon_H27 zenon_Hb4 zenon_Hb1 zenon_H5a zenon_H53 zenon_H4c zenon_H5c zenon_H9e zenon_H120 zenon_H7b zenon_H75 zenon_H68 zenon_H80 zenon_H86 zenon_H87 zenon_H95 zenon_H94 zenon_H8f zenon_H8b zenon_H6f zenon_Hc0 zenon_H62 zenon_Ha6 zenon_H4d zenon_Hc8 zenon_H9a zenon_H9d zenon_Hbc zenon_H200 zenon_Hf3 zenon_Hc9 zenon_H32c zenon_H26a zenon_H26d zenon_H238 zenon_Hfe zenon_H1cf zenon_H1f5 zenon_Hce zenon_Hd1 zenon_Hb8 zenon_Hcf zenon_Hdb zenon_He7 zenon_Heb zenon_H10f zenon_H112 zenon_H11a zenon_Hf9 zenon_H11d zenon_H107 zenon_H101 zenon_H121 zenon_H12f zenon_H12c zenon_H132 zenon_H135 zenon_H1be zenon_H19f zenon_H19b zenon_H222 zenon_H194 zenon_H189 zenon_H188 zenon_H182 zenon_H193 zenon_H16a zenon_H177 zenon_H17d zenon_H191 zenon_H14 zenon_H18d zenon_H171 zenon_H1c1 zenon_H1c2 zenon_H1a zenon_H164 zenon_H1a8 zenon_H14e zenon_H1ca zenon_H19e. % 23.65/23.82 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_H192 | zenon_intro zenon_H168 ]. % 23.65/23.82 apply (zenon_L193_); trivial. % 23.65/23.82 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H17e | zenon_intro zenon_H183 ]. % 23.65/23.82 apply (zenon_or_s _ _ zenon_H1d3); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H1d0 ]. % 23.65/23.82 apply (zenon_L233_); trivial. % 23.65/23.82 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H2c | zenon_intro zenon_H136 ]. % 23.65/23.82 apply (zenon_L7_); trivial. % 23.65/23.82 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H34 | zenon_intro zenon_H137 ]. % 23.65/23.82 apply (zenon_L8_); trivial. % 23.65/23.82 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H36 | zenon_intro zenon_H138 ]. % 23.65/23.82 apply (zenon_L9_); trivial. % 23.65/23.82 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H38 | zenon_intro zenon_H139 ]. % 23.65/23.82 apply (zenon_L10_); trivial. % 23.65/23.82 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H13b | zenon_intro zenon_H13a ]. % 23.65/23.82 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_H63. zenon_intro zenon_H13c. % 23.65/23.82 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_Hba. zenon_intro zenon_H13d. % 23.65/23.82 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_Hbb. zenon_intro zenon_H13e. % 23.65/23.82 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_H28c. zenon_intro zenon_H28e. % 23.65/23.82 apply (zenon_L319_); trivial. % 23.65/23.82 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H140 | zenon_intro zenon_H13f ]. % 23.65/23.82 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H99. zenon_intro zenon_H13c. % 23.65/23.82 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_Hba. zenon_intro zenon_H13d. % 23.65/23.82 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_Hbb. zenon_intro zenon_H13e. % 23.65/23.82 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_H28c. zenon_intro zenon_H28e. % 23.65/23.82 apply (zenon_L319_); trivial. % 23.65/23.82 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H142 | zenon_intro zenon_H141 ]. % 23.65/23.82 apply (zenon_and_s _ _ zenon_H142). zenon_intro zenon_H6e. zenon_intro zenon_H13c. % 23.65/23.82 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_Hba. zenon_intro zenon_H13d. % 23.65/23.82 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_Hbb. zenon_intro zenon_H13e. % 23.65/23.82 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_H28c. zenon_intro zenon_H28e. % 23.65/23.82 apply (zenon_L319_); trivial. % 23.65/23.82 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H144 | zenon_intro zenon_H143 ]. % 23.65/23.82 apply (zenon_and_s _ _ zenon_H144). zenon_intro zenon_He4. zenon_intro zenon_H13c. % 23.65/23.82 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_Hba. zenon_intro zenon_H13d. % 23.65/23.82 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_Hbb. zenon_intro zenon_H13e. % 23.65/23.82 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_H28c. zenon_intro zenon_H28e. % 23.65/23.82 apply (zenon_L319_); trivial. % 23.65/23.82 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H145 ]. % 23.65/23.82 apply (zenon_L47_); trivial. % 23.65/23.82 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_He1 | zenon_intro zenon_H146 ]. % 23.65/23.82 apply (zenon_L49_); trivial. % 23.65/23.82 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_He2 | zenon_intro zenon_H147 ]. % 23.65/23.82 apply (zenon_L50_); trivial. % 23.65/23.82 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_Hea | zenon_intro zenon_H148 ]. % 23.65/23.82 apply (zenon_L53_); trivial. % 23.65/23.82 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H149 ]. % 23.65/23.82 apply (zenon_L55_); trivial. % 23.65/23.82 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H124 | zenon_intro zenon_H14a ]. % 23.65/23.82 apply (zenon_L78_); trivial. % 23.65/23.82 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_H133 | zenon_intro zenon_H134 ]. % 23.65/23.82 apply (zenon_L91_); trivial. % 23.65/23.82 apply (zenon_L92_); trivial. % 23.65/23.82 apply (zenon_L111_); trivial. % 23.65/23.82 (* end of lemma zenon_L320_ *) % 23.65/23.82 assert (zenon_L321_ : ((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (op2 (e23) (e23)) (e23))) -> ((e20) = (op2 (e23) (e23))) -> (~((op2 (e21) (e21)) = (e22))) -> (~((op2 (e22) (e21)) = (e22))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> ((e21) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> ((h4 (e11)) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> ((h4 (e13)) = (e23)) -> ((h4 (e12)) = (op2 (op2 (e23) (e23)) (e23))) -> (~((h4 (op1 (e13) (e11))) = (op2 (h4 (e13)) (h4 (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12))) -> ((e12) = (op1 (op1 (e13) (e13)) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((op1 (e10) (e10)) = (e10)) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (e11))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((e10) = (op1 (e13) (e13))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((e11) = (op1 (op1 (op1 (e13) (e13)) (e13)) (e13))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((e10) = (e11))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> ((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12))) -> False). % 23.65/23.82 do 0 intro. intros zenon_Hce zenon_H1f5 zenon_H14e zenon_H14 zenon_H17e zenon_H28f zenon_Hfe zenon_H189 zenon_H238 zenon_H26d zenon_H26a zenon_H32c zenon_Hc9 zenon_Hf3 zenon_H200 zenon_Hbc zenon_H9d zenon_H9a zenon_Hc8 zenon_H4d zenon_Ha6 zenon_H62 zenon_H2e zenon_Hc0 zenon_Hbf zenon_H6f zenon_H8b zenon_H28 zenon_H8f zenon_H94 zenon_H95 zenon_H87 zenon_H86 zenon_H80 zenon_H96 zenon_H68 zenon_H75 zenon_H7b zenon_H120. % 23.65/23.82 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H90 | zenon_intro zenon_H66 ]. % 23.65/23.82 apply (zenon_L195_); trivial. % 23.65/23.82 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H7c | zenon_intro zenon_H81 ]. % 23.65/23.82 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_Hc1 | zenon_intro zenon_Hca ]. % 23.65/23.82 apply (zenon_L234_); trivial. % 23.65/23.82 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H1f6 | zenon_intro zenon_H201 ]. % 23.65/23.82 apply (zenon_L138_); trivial. % 23.65/23.82 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H181 | zenon_intro zenon_H202 ]. % 23.65/23.82 exact (zenon_H17e zenon_H181). % 23.65/23.82 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H1fe ]. % 23.65/23.82 exact (zenon_H28f zenon_H1d1). % 23.65/23.82 apply (zenon_L313_); trivial. % 23.65/23.82 apply (zenon_L30_); trivial. % 23.65/23.82 (* end of lemma zenon_L321_ *) % 23.65/23.82 assert (zenon_L322_ : ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((h4 (op1 (e13) (e11))) = (op2 (h4 (e13)) (h4 (e11))))) -> ((h4 (e12)) = (op2 (op2 (e23) (e23)) (e23))) -> ((h4 (e13)) = (e23)) -> ((h4 (e11)) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> ((e21) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op2 (e22) (e21)) = (e22))) -> (~((op2 (e21) (e21)) = (e22))) -> ((e20) = (op2 (e23) (e23))) -> ((e22) = (op2 (op2 (e23) (e23)) (e23))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((e10) = (e11))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((e11) = (op1 (op1 (op1 (e13) (e13)) (e13)) (e13))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> ((e10) = (op1 (e13) (e13))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (e13)) (e13))) -> ((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12))) -> (~((op1 (e12) (e11)) = (e12))) -> ((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12))) -> False). % 23.65/23.82 do 0 intro. intros zenon_H9d zenon_H200 zenon_Hf3 zenon_H32c zenon_H26a zenon_H26d zenon_H238 zenon_H189 zenon_Hfe zenon_H28f zenon_H17e zenon_H14 zenon_H14e zenon_H1f5 zenon_H9a zenon_H120 zenon_H7b zenon_H75 zenon_H68 zenon_H96 zenon_H80 zenon_H86 zenon_H87 zenon_H95 zenon_H94 zenon_H8f zenon_H28 zenon_H8b zenon_H6f zenon_Hc0 zenon_H2e zenon_H62 zenon_Ha6 zenon_H4d zenon_Hc8 zenon_H28b zenon_Hd1. % 23.65/23.82 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H90 | zenon_intro zenon_H66 ]. % 23.65/23.82 apply (zenon_L208_); trivial. % 23.65/23.82 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H7c | zenon_intro zenon_H81 ]. % 23.65/23.82 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H1f6 | zenon_intro zenon_H201 ]. % 23.65/23.82 apply (zenon_L138_); trivial. % 23.65/23.82 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H181 | zenon_intro zenon_H202 ]. % 23.65/23.82 exact (zenon_H17e zenon_H181). % 23.65/23.82 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H1fe ]. % 23.65/23.82 exact (zenon_H28f zenon_H1d1). % 23.65/23.82 apply (zenon_L315_); trivial. % 23.65/23.82 apply (zenon_L30_); trivial. % 23.65/23.82 (* end of lemma zenon_L322_ *) % 23.65/23.82 assert (zenon_L323_ : ((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12)))) -> ((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12))) -> ((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (op2 (e23) (e23)) (e23))) -> ((e20) = (op2 (e23) (e23))) -> (~((op2 (e21) (e21)) = (e22))) -> (~((op2 (e22) (e21)) = (e22))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> ((e21) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> ((h4 (e11)) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> ((h4 (e13)) = (e23)) -> ((h4 (e12)) = (op2 (op2 (e23) (e23)) (e23))) -> (~((h4 (op1 (e13) (e11))) = (op2 (h4 (e13)) (h4 (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12))) -> ((e12) = (op1 (op1 (e13) (e13)) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((e10) = (op1 (e13) (e13))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((e11) = (op1 (op1 (op1 (e13) (e13)) (e13)) (e13))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((e10) = (e11))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> ((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12))) -> ((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (e11))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> False). % 23.65/23.82 do 0 intro. intros zenon_H28c zenon_Hd1 zenon_Hce zenon_H1f5 zenon_H14e zenon_H14 zenon_H17e zenon_H28f zenon_Hfe zenon_H189 zenon_H238 zenon_H26d zenon_H26a zenon_H32c zenon_Hc9 zenon_Hf3 zenon_H200 zenon_Hbc zenon_H9d zenon_H9a zenon_Hc8 zenon_H4d zenon_Ha6 zenon_H62 zenon_Hc0 zenon_H6f zenon_H8b zenon_H28 zenon_H8f zenon_H94 zenon_H95 zenon_H87 zenon_H86 zenon_H80 zenon_H96 zenon_H68 zenon_H75 zenon_H7b zenon_H120 zenon_H9e zenon_H5c zenon_H4c zenon_H5b zenon_H53 zenon_H5a zenon_Hb1 zenon_Hb4. % 23.65/23.82 apply (zenon_or_s _ _ zenon_H28c); [ zenon_intro zenon_Hbf | zenon_intro zenon_H28b ]. % 23.65/23.82 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H2e | zenon_intro zenon_Hb5 ]. % 23.65/23.82 apply (zenon_L321_); trivial. % 23.65/23.82 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_H99 | zenon_intro zenon_Hb6 ]. % 23.65/23.82 exact (zenon_H96 zenon_H99). % 23.65/23.82 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_H6d | zenon_intro zenon_Ha0 ]. % 23.65/23.82 apply (zenon_L33_); trivial. % 23.65/23.82 apply (zenon_L37_); trivial. % 23.65/23.82 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H2e | zenon_intro zenon_Hb5 ]. % 23.65/23.82 apply (zenon_L322_); trivial. % 23.65/23.82 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_H99 | zenon_intro zenon_Hb6 ]. % 23.65/23.82 exact (zenon_H96 zenon_H99). % 23.65/23.82 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_H6d | zenon_intro zenon_Ha0 ]. % 23.65/23.82 apply (zenon_L33_); trivial. % 23.65/23.82 apply (zenon_L37_); trivial. % 23.65/23.82 (* end of lemma zenon_L323_ *) % 23.65/23.82 assert (zenon_L324_ : ((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12)))) -> ((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12))) -> ((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (op2 (e23) (e23)) (e23))) -> ((e20) = (op2 (e23) (e23))) -> (~((op2 (e21) (e21)) = (e22))) -> (~((op2 (e22) (e21)) = (e22))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> ((e21) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> ((h4 (e11)) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> ((h4 (e13)) = (e23)) -> ((h4 (e12)) = (op2 (op2 (e23) (e23)) (e23))) -> (~((h4 (op1 (e13) (e11))) = (op2 (h4 (e13)) (h4 (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12))) -> ((e12) = (op1 (op1 (e13) (e13)) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((e10) = (op1 (e13) (e13))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((e11) = (op1 (op1 (op1 (e13) (e13)) (e13)) (e13))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((e10) = (e11))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> ((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12))) -> ((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10))) -> ((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e10) (e11)) = (e10))) -> ((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> False). % 23.65/23.82 do 0 intro. intros zenon_H28c zenon_Hd1 zenon_Hce zenon_H1f5 zenon_H14e zenon_H14 zenon_H17e zenon_H28f zenon_Hfe zenon_H189 zenon_H238 zenon_H26d zenon_H26a zenon_H32c zenon_Hc9 zenon_Hf3 zenon_H200 zenon_Hbc zenon_H9d zenon_H9a zenon_Hc8 zenon_H4d zenon_Ha6 zenon_H62 zenon_Hc0 zenon_H6f zenon_H8b zenon_H28 zenon_H8f zenon_H94 zenon_H95 zenon_H87 zenon_H86 zenon_H80 zenon_H96 zenon_H68 zenon_H75 zenon_H7b zenon_H120 zenon_H9e zenon_H5a zenon_H53 zenon_H4c zenon_H5c zenon_Hb7 zenon_Hb8 zenon_Hb1 zenon_Hb4. % 23.65/23.82 apply (zenon_or_s _ _ zenon_H28c); [ zenon_intro zenon_Hbf | zenon_intro zenon_H28b ]. % 23.65/23.82 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H2e | zenon_intro zenon_Hb5 ]. % 23.65/23.82 apply (zenon_L321_); trivial. % 23.65/23.82 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_H99 | zenon_intro zenon_Hb6 ]. % 23.65/23.82 exact (zenon_H96 zenon_H99). % 23.65/23.82 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_H6d | zenon_intro zenon_Ha0 ]. % 23.65/23.82 apply (zenon_L39_); trivial. % 23.65/23.82 apply (zenon_L37_); trivial. % 23.65/23.82 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H2e | zenon_intro zenon_Hb5 ]. % 23.65/23.82 apply (zenon_L322_); trivial. % 23.65/23.82 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_H99 | zenon_intro zenon_Hb6 ]. % 23.65/23.82 exact (zenon_H96 zenon_H99). % 23.65/23.82 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_H6d | zenon_intro zenon_Ha0 ]. % 23.65/23.82 apply (zenon_L39_); trivial. % 23.65/23.82 apply (zenon_L37_); trivial. % 23.65/23.82 (* end of lemma zenon_L324_ *) % 23.65/23.82 assert (zenon_L325_ : ((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10)))) -> ((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10))) -> ((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12)))) -> ((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12))) -> ((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((e22) = (op2 (op2 (e23) (e23)) (e23))) -> ((e20) = (op2 (e23) (e23))) -> (~((op2 (e21) (e21)) = (e22))) -> (~((op2 (e22) (e21)) = (e22))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> ((e21) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> ((h4 (e11)) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> ((h4 (e13)) = (e23)) -> ((h4 (e12)) = (op2 (op2 (e23) (e23)) (e23))) -> (~((h4 (op1 (e13) (e11))) = (op2 (h4 (e13)) (h4 (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12))) -> ((e12) = (op1 (op1 (e13) (e13)) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((e10) = (op1 (e13) (e13))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((e11) = (op1 (op1 (op1 (e13) (e13)) (e13)) (e13))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((e10) = (e11))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> ((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12))) -> ((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11)))) -> False). % 23.65/23.82 do 0 intro. intros zenon_Hba zenon_Hb8 zenon_H28c zenon_Hd1 zenon_Hce zenon_H1f5 zenon_H14e zenon_H14 zenon_H17e zenon_H28f zenon_Hfe zenon_H189 zenon_H238 zenon_H26d zenon_H26a zenon_H32c zenon_Hc9 zenon_Hf3 zenon_H200 zenon_Hbc zenon_H9d zenon_H9a zenon_Hc8 zenon_H4d zenon_Ha6 zenon_H62 zenon_Hc0 zenon_H6f zenon_H8b zenon_H28 zenon_H8f zenon_H94 zenon_H95 zenon_H87 zenon_H86 zenon_H80 zenon_H68 zenon_H75 zenon_H7b zenon_H120 zenon_H9e zenon_H5c zenon_H4c zenon_H53 zenon_H5a zenon_Hb1 zenon_Hb4 zenon_Hbb. % 23.65/23.82 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H5b | zenon_intro zenon_Hb7 ]. % 23.65/23.82 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H96 | zenon_intro zenon_H96 ]. % 23.65/23.82 apply (zenon_L323_); trivial. % 23.65/23.82 apply (zenon_L323_); trivial. % 23.65/23.82 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H96 | zenon_intro zenon_H96 ]. % 23.65/23.82 apply (zenon_L324_); trivial. % 23.65/23.82 apply (zenon_L324_); trivial. % 23.65/23.82 (* end of lemma zenon_L325_ *) % 23.65/23.82 assert (zenon_L326_ : ((~((op2 (e21) (e21)) = (e20)))\/((op2 (e21) (e20)) = (e21))) -> ((((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e11) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e11) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e11) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e12) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e12) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e12) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e13) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e13) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e13) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))\/(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))))))))))))))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10))) -> ((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12))) -> ((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> ((h4 (e11)) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> ((h4 (e13)) = (e23)) -> ((h4 (e12)) = (op2 (op2 (e23) (e23)) (e23))) -> (~((h4 (op1 (e13) (e11))) = (op2 (h4 (e13)) (h4 (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12))) -> ((e12) = (op1 (op1 (e13) (e13)) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((e11) = (op1 (op1 (op1 (e13) (e13)) (e13)) (e13))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((e10) = (e11))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> ((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12))) -> ((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> ((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))) -> ((e10) = (op1 (e13) (e13))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((~((op2 (e22) (e22)) = (e21)))\/((op2 (e22) (e21)) = (e22))) -> (~((op2 (e22) (e21)) = (e22))) -> ((~((op2 (e22) (e22)) = (e23)))\/((op2 (e22) (e23)) = (e22))) -> ((e22) = (op2 (op2 (e23) (e23)) (e23))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((op2 (e20) (e20)) = (e20)) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e20) = (op2 (e23) (e23))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((e21) = (e22))) -> (~((op2 (e21) (e21)) = (e21))) -> (~((e20) = (e21))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((e21) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> ((~((op2 (e22) (e22)) = (e22)))\/((op2 (e22) (e22)) = (e22))) -> ((~((op2 (e21) (e21)) = (e22)))\/((op2 (e21) (e22)) = (e21))) -> False). % 23.65/23.82 do 0 intro. intros zenon_H19f zenon_H135 zenon_H132 zenon_H12c zenon_H12f zenon_H121 zenon_H101 zenon_H107 zenon_H11d zenon_Hf9 zenon_H11a zenon_H112 zenon_H10f zenon_Heb zenon_He7 zenon_Hdb zenon_Hcf zenon_Hb8 zenon_Hd1 zenon_Hce zenon_H1f5 zenon_Hfe zenon_H238 zenon_H26d zenon_H26a zenon_H32c zenon_Hc9 zenon_Hf3 zenon_H200 zenon_Hbc zenon_H9d zenon_H9a zenon_Hc8 zenon_H4d zenon_Ha6 zenon_H62 zenon_Hc0 zenon_H6f zenon_H8b zenon_H8f zenon_H94 zenon_H95 zenon_H87 zenon_H86 zenon_H80 zenon_H68 zenon_H75 zenon_H7b zenon_H120 zenon_H9e zenon_H5c zenon_H4c zenon_H53 zenon_H5a zenon_Hb1 zenon_Hb4 zenon_H27 zenon_H28 zenon_H19b zenon_H1d4 zenon_H28f zenon_H1ca zenon_H14e zenon_H1a8 zenon_H164 zenon_H1a zenon_H1c2 zenon_H171 zenon_H18d zenon_H14 zenon_H191 zenon_H17d zenon_H177 zenon_H16a zenon_H193 zenon_H182 zenon_H188 zenon_H189 zenon_H194 zenon_H222 zenon_H19e. % 23.65/23.82 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_H192 | zenon_intro zenon_H168 ]. % 23.65/23.82 apply (zenon_L215_); trivial. % 23.65/23.82 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H17e | zenon_intro zenon_H183 ]. % 23.65/23.82 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H2c | zenon_intro zenon_H136 ]. % 23.65/23.82 apply (zenon_L7_); trivial. % 23.65/23.82 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H34 | zenon_intro zenon_H137 ]. % 23.65/23.82 apply (zenon_L8_); trivial. % 23.65/23.82 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H36 | zenon_intro zenon_H138 ]. % 23.65/23.82 apply (zenon_L9_); trivial. % 23.65/23.82 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H38 | zenon_intro zenon_H139 ]. % 23.65/23.82 apply (zenon_L10_); trivial. % 23.65/23.82 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H13b | zenon_intro zenon_H13a ]. % 23.65/23.82 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_H63. zenon_intro zenon_H13c. % 23.65/23.82 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_Hba. zenon_intro zenon_H13d. % 23.65/23.82 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_Hbb. zenon_intro zenon_H13e. % 23.65/23.82 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_H28c. zenon_intro zenon_H28e. % 23.65/23.82 apply (zenon_L325_); trivial. % 23.65/23.82 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H140 | zenon_intro zenon_H13f ]. % 23.65/23.82 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H99. zenon_intro zenon_H13c. % 23.65/23.82 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_Hba. zenon_intro zenon_H13d. % 23.65/23.82 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_Hbb. zenon_intro zenon_H13e. % 23.65/23.82 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_H28c. zenon_intro zenon_H28e. % 23.65/23.82 apply (zenon_L325_); trivial. % 23.65/23.82 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H142 | zenon_intro zenon_H141 ]. % 23.65/23.82 apply (zenon_and_s _ _ zenon_H142). zenon_intro zenon_H6e. zenon_intro zenon_H13c. % 23.65/23.82 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_Hba. zenon_intro zenon_H13d. % 23.65/23.82 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_Hbb. zenon_intro zenon_H13e. % 23.65/23.82 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_H28c. zenon_intro zenon_H28e. % 23.65/23.82 apply (zenon_L325_); trivial. % 23.65/23.82 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H144 | zenon_intro zenon_H143 ]. % 23.65/23.82 apply (zenon_and_s _ _ zenon_H144). zenon_intro zenon_He4. zenon_intro zenon_H13c. % 23.65/23.82 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_Hba. zenon_intro zenon_H13d. % 23.65/23.82 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_Hbb. zenon_intro zenon_H13e. % 23.65/23.82 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_H28c. zenon_intro zenon_H28e. % 23.65/23.82 apply (zenon_L325_); trivial. % 23.65/23.82 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H145 ]. % 23.65/23.82 apply (zenon_L47_); trivial. % 23.65/23.82 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_He1 | zenon_intro zenon_H146 ]. % 23.65/23.82 apply (zenon_L49_); trivial. % 23.65/23.82 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_He2 | zenon_intro zenon_H147 ]. % 23.65/23.82 apply (zenon_L50_); trivial. % 23.65/23.82 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_Hea | zenon_intro zenon_H148 ]. % 23.65/23.82 apply (zenon_L53_); trivial. % 23.65/23.82 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H149 ]. % 23.65/23.82 apply (zenon_L55_); trivial. % 23.65/23.82 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H124 | zenon_intro zenon_H14a ]. % 23.65/23.82 apply (zenon_L78_); trivial. % 23.65/23.82 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_H133 | zenon_intro zenon_H134 ]. % 23.65/23.82 apply (zenon_L91_); trivial. % 23.65/23.82 apply (zenon_L92_); trivial. % 23.65/23.82 apply (zenon_L111_); trivial. % 23.65/23.82 (* end of lemma zenon_L326_ *) % 23.65/23.82 assert (zenon_L327_ : ((~((op2 (e22) (e22)) = (e21)))\/(~((op2 (e22) (e21)) = (e22)))) -> ((~((op2 (e22) (e22)) = (e21)))\/((op2 (e22) (e21)) = (e22))) -> ((~((op2 (e22) (e22)) = (e20)))\/((op2 (e22) (e20)) = (e22))) -> ((e10) = (op1 (e13) (e13))) -> ((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> ((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10))) -> ((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((e11) = (e12))) -> (~((e10) = (e11))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((e11) = (op1 (op1 (op1 (e13) (e13)) (e13)) (e13))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (e13)) (e13))) -> ((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((h4 (op1 (e13) (e11))) = (op2 (h4 (e13)) (h4 (e11))))) -> ((h4 (e12)) = (op2 (op2 (e23) (e23)) (e23))) -> ((h4 (e13)) = (e23)) -> ((h4 (e11)) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12))) -> ((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12))) -> ((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> ((((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e11) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e11) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e11) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e12) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e12) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e12) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e13) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e13) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e13) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))\/(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))))))))))))))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((~((op2 (e21) (e21)) = (e20)))\/((op2 (e21) (e20)) = (e21))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((~((op2 (e22) (e22)) = (e22)))\/((op2 (e22) (e22)) = (e22))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> ((e21) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((e20) = (e21))) -> (~((op2 (e21) (e21)) = (e21))) -> (~((e21) = (e22))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> ((e20) = (op2 (e23) (e23))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((e22) = (op2 (op2 (e23) (e23)) (e23))) -> ((~((op2 (e22) (e22)) = (e23)))\/((op2 (e22) (e23)) = (e22))) -> ((~((op2 (e21) (e21)) = (e22)))\/((op2 (e21) (e22)) = (e21))) -> ((~((op2 (e20) (e20)) = (e20)))\/((op2 (e20) (e20)) = (e20))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e20)) = (e22))\/((op2 (e20) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (e21))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((~((op2 (e20) (e20)) = (e23)))\/((op2 (e20) (e23)) = (e20))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> False). % 23.65/23.82 do 0 intro. intros zenon_H290 zenon_H1d4 zenon_H1d3 zenon_H28 zenon_H27 zenon_Hb4 zenon_Hb1 zenon_H5a zenon_H53 zenon_H4c zenon_H5c zenon_H9e zenon_H120 zenon_H7b zenon_H75 zenon_H68 zenon_H80 zenon_H86 zenon_H87 zenon_H95 zenon_H94 zenon_H8f zenon_H8b zenon_H6f zenon_Hc0 zenon_H62 zenon_Ha6 zenon_H4d zenon_Hc8 zenon_H9a zenon_H9d zenon_Hbc zenon_H200 zenon_Hf3 zenon_Hc9 zenon_H32c zenon_H26a zenon_H26d zenon_H238 zenon_Hfe zenon_H1cf zenon_H1f5 zenon_Hce zenon_Hd1 zenon_Hb8 zenon_Hcf zenon_Hdb zenon_He7 zenon_Heb zenon_H10f zenon_H112 zenon_H11a zenon_Hf9 zenon_H11d zenon_H107 zenon_H101 zenon_H121 zenon_H12f zenon_H12c zenon_H132 zenon_H135 zenon_H1be zenon_H19f zenon_H19b zenon_H222 zenon_H194 zenon_H189 zenon_H188 zenon_H182 zenon_H193 zenon_H16a zenon_H177 zenon_H17d zenon_H191 zenon_H14 zenon_H18d zenon_H171 zenon_H1c2 zenon_H164 zenon_H1a8 zenon_H14e zenon_H1ca zenon_H19e zenon_H1a0 zenon_H15e zenon_H14d zenon_H15d zenon_H154 zenon_H15b zenon_H1b3 zenon_H1b6. % 23.65/23.82 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H28f ]. % 23.65/23.82 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H1a | zenon_intro zenon_H1b7 ]. % 23.65/23.82 apply (zenon_L320_); trivial. % 23.65/23.82 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H19a | zenon_intro zenon_H1b8 ]. % 23.65/23.82 exact (zenon_H193 zenon_H19a). % 23.65/23.82 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H16f | zenon_intro zenon_H1a2 ]. % 23.65/23.82 apply (zenon_L114_); trivial. % 23.65/23.82 apply (zenon_L118_); trivial. % 23.65/23.82 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H1a | zenon_intro zenon_H1b7 ]. % 23.65/23.82 apply (zenon_L326_); trivial. % 23.65/23.82 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H19a | zenon_intro zenon_H1b8 ]. % 23.65/23.82 exact (zenon_H193 zenon_H19a). % 23.65/23.82 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H16f | zenon_intro zenon_H1a2 ]. % 23.65/23.82 apply (zenon_L114_); trivial. % 23.65/23.82 apply (zenon_L118_); trivial. % 23.65/23.82 (* end of lemma zenon_L327_ *) % 23.65/23.82 assert (zenon_L328_ : ((~((op2 (e22) (e22)) = (e21)))\/(~((op2 (e22) (e21)) = (e22)))) -> ((~((op2 (e22) (e22)) = (e21)))\/((op2 (e22) (e21)) = (e22))) -> ((~((op2 (e22) (e22)) = (e20)))\/((op2 (e22) (e20)) = (e22))) -> ((e10) = (op1 (e13) (e13))) -> ((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> ((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10))) -> ((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((e11) = (e12))) -> (~((e10) = (e11))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((e11) = (op1 (op1 (op1 (e13) (e13)) (e13)) (e13))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (e13)) (e13))) -> ((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((h4 (op1 (e13) (e11))) = (op2 (h4 (e13)) (h4 (e11))))) -> ((h4 (e12)) = (op2 (op2 (e23) (e23)) (e23))) -> ((h4 (e13)) = (e23)) -> ((h4 (e11)) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12))) -> ((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12))) -> ((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> ((((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e11) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e11) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e11) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e12) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e12) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e12) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e13) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e13) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e13) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))\/(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))))))))))))))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((~((op2 (e21) (e21)) = (e20)))\/((op2 (e21) (e20)) = (e21))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((~((op2 (e22) (e22)) = (e22)))\/((op2 (e22) (e22)) = (e22))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> ((e21) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((e20) = (e21))) -> (~((op2 (e21) (e21)) = (e21))) -> (~((e21) = (e22))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> ((e20) = (op2 (e23) (e23))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((e22) = (op2 (op2 (e23) (e23)) (e23))) -> ((~((op2 (e22) (e22)) = (e23)))\/((op2 (e22) (e23)) = (e22))) -> ((~((op2 (e21) (e21)) = (e22)))\/((op2 (e21) (e22)) = (e21))) -> ((~((op2 (e20) (e20)) = (e20)))\/((op2 (e20) (e20)) = (e20))) -> ((~((op2 (e20) (e20)) = (e23)))\/((op2 (e20) (e23)) = (e20))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e20)) = (e22))\/((op2 (e20) (e20)) = (e23))))) -> (~((op2 (e20) (e21)) = (e20))) -> ((~((op2 (e20) (e20)) = (e21)))\/((op2 (e20) (e21)) = (e20))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> False). % 23.65/23.82 do 0 intro. intros zenon_H290 zenon_H1d4 zenon_H1d3 zenon_H28 zenon_H27 zenon_Hb4 zenon_Hb1 zenon_H5a zenon_H53 zenon_H4c zenon_H5c zenon_H9e zenon_H120 zenon_H7b zenon_H75 zenon_H68 zenon_H80 zenon_H86 zenon_H87 zenon_H95 zenon_H94 zenon_H8f zenon_H8b zenon_H6f zenon_Hc0 zenon_H62 zenon_Ha6 zenon_H4d zenon_Hc8 zenon_H9a zenon_H9d zenon_Hbc zenon_H200 zenon_Hf3 zenon_Hc9 zenon_H32c zenon_H26a zenon_H26d zenon_H238 zenon_Hfe zenon_H1cf zenon_H1f5 zenon_Hce zenon_Hd1 zenon_Hb8 zenon_Hcf zenon_Hdb zenon_He7 zenon_Heb zenon_H10f zenon_H112 zenon_H11a zenon_Hf9 zenon_H11d zenon_H107 zenon_H101 zenon_H121 zenon_H12f zenon_H12c zenon_H132 zenon_H135 zenon_H1be zenon_H19f zenon_H19b zenon_H222 zenon_H194 zenon_H189 zenon_H188 zenon_H182 zenon_H193 zenon_H16a zenon_H177 zenon_H17d zenon_H191 zenon_H14 zenon_H18d zenon_H171 zenon_H1c2 zenon_H164 zenon_H1a8 zenon_H14e zenon_H1ca zenon_H19e zenon_H1a0 zenon_H15b zenon_H154 zenon_H14d zenon_H15e zenon_H1b9 zenon_H1ba zenon_H1b3 zenon_H1b6. % 23.65/23.82 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H28f ]. % 23.65/23.82 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H1a | zenon_intro zenon_H1b7 ]. % 23.65/23.82 apply (zenon_L320_); trivial. % 23.65/23.82 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H19a | zenon_intro zenon_H1b8 ]. % 23.65/23.82 exact (zenon_H193 zenon_H19a). % 23.65/23.82 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H16f | zenon_intro zenon_H1a2 ]. % 23.65/23.82 apply (zenon_L120_); trivial. % 23.65/23.82 apply (zenon_L118_); trivial. % 23.65/23.82 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H1a | zenon_intro zenon_H1b7 ]. % 23.65/23.82 apply (zenon_L326_); trivial. % 23.65/23.82 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H19a | zenon_intro zenon_H1b8 ]. % 23.65/23.82 exact (zenon_H193 zenon_H19a). % 23.65/23.82 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H16f | zenon_intro zenon_H1a2 ]. % 23.65/23.82 apply (zenon_L120_); trivial. % 23.65/23.82 apply (zenon_L118_); trivial. % 23.65/23.82 (* end of lemma zenon_L328_ *) % 23.65/23.82 assert (zenon_L329_ : ((~((op2 (e20) (e20)) = (e21)))\/(~((op2 (e20) (e21)) = (e20)))) -> ((~((op2 (e20) (e20)) = (e21)))\/((op2 (e20) (e21)) = (e20))) -> ((~((op2 (e22) (e22)) = (e21)))\/(~((op2 (e22) (e21)) = (e22)))) -> ((~((op2 (e22) (e22)) = (e21)))\/((op2 (e22) (e21)) = (e22))) -> ((~((op2 (e22) (e22)) = (e20)))\/((op2 (e22) (e20)) = (e22))) -> ((e10) = (op1 (e13) (e13))) -> ((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> ((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10))) -> ((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((e11) = (e12))) -> (~((e10) = (e11))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((e11) = (op1 (op1 (op1 (e13) (e13)) (e13)) (e13))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (e13)) (e13))) -> ((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((h4 (op1 (e13) (e11))) = (op2 (h4 (e13)) (h4 (e11))))) -> ((h4 (e12)) = (op2 (op2 (e23) (e23)) (e23))) -> ((h4 (e13)) = (e23)) -> ((h4 (e11)) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12))) -> ((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12))) -> ((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> ((((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e11) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e11) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e11) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e12) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e12) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e12) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e13) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e13) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e13) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))\/(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))))))))))))))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((~((op2 (e21) (e21)) = (e20)))\/((op2 (e21) (e20)) = (e21))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((~((op2 (e22) (e22)) = (e22)))\/((op2 (e22) (e22)) = (e22))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> ((e21) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((e20) = (e21))) -> (~((e21) = (e22))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> ((e20) = (op2 (e23) (e23))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((e22) = (op2 (op2 (e23) (e23)) (e23))) -> ((~((op2 (e22) (e22)) = (e23)))\/((op2 (e22) (e23)) = (e22))) -> ((~((op2 (e21) (e21)) = (e22)))\/((op2 (e21) (e22)) = (e21))) -> ((~((op2 (e20) (e20)) = (e20)))\/((op2 (e20) (e20)) = (e20))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e20)) = (e22))\/((op2 (e20) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((~((op2 (e20) (e20)) = (e23)))\/((op2 (e20) (e23)) = (e20))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> ((~((op2 (e21) (e21)) = (e21)))\/(~((op2 (e21) (e21)) = (e21)))) -> False). % 23.65/23.82 do 0 intro. intros zenon_H1bc zenon_H1ba zenon_H290 zenon_H1d4 zenon_H1d3 zenon_H28 zenon_H27 zenon_Hb4 zenon_Hb1 zenon_H5a zenon_H53 zenon_H4c zenon_H5c zenon_H9e zenon_H120 zenon_H7b zenon_H75 zenon_H68 zenon_H80 zenon_H86 zenon_H87 zenon_H95 zenon_H94 zenon_H8f zenon_H8b zenon_H6f zenon_Hc0 zenon_H62 zenon_Ha6 zenon_H4d zenon_Hc8 zenon_H9a zenon_H9d zenon_Hbc zenon_H200 zenon_Hf3 zenon_Hc9 zenon_H32c zenon_H26a zenon_H26d zenon_H238 zenon_Hfe zenon_H1cf zenon_H1f5 zenon_Hce zenon_Hd1 zenon_Hb8 zenon_Hcf zenon_Hdb zenon_He7 zenon_Heb zenon_H10f zenon_H112 zenon_H11a zenon_Hf9 zenon_H11d zenon_H107 zenon_H101 zenon_H121 zenon_H12f zenon_H12c zenon_H132 zenon_H135 zenon_H1be zenon_H19f zenon_H19b zenon_H222 zenon_H194 zenon_H189 zenon_H188 zenon_H182 zenon_H16a zenon_H177 zenon_H17d zenon_H191 zenon_H14 zenon_H18d zenon_H171 zenon_H1c2 zenon_H164 zenon_H1a8 zenon_H14e zenon_H1ca zenon_H19e zenon_H1a0 zenon_H15e zenon_H14d zenon_H154 zenon_H15b zenon_H1b3 zenon_H1b6 zenon_H1bd. % 23.65/23.82 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H15d | zenon_intro zenon_H1b9 ]. % 23.65/23.82 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H193 | zenon_intro zenon_H193 ]. % 23.65/23.82 apply (zenon_L327_); trivial. % 23.65/23.82 apply (zenon_L327_); trivial. % 23.65/23.82 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H193 | zenon_intro zenon_H193 ]. % 23.65/23.82 apply (zenon_L328_); trivial. % 23.65/23.82 apply (zenon_L328_); trivial. % 23.65/23.82 (* end of lemma zenon_L329_ *) % 23.65/23.82 assert (zenon_L330_ : ((h4 (e11)) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> ((op1 (e13) (e12)) = (e11)) -> ((e21) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> (~((e21) = (h4 (op1 (e13) (e12))))) -> False). % 23.65/23.82 do 0 intro. intros zenon_H238 zenon_H23c zenon_H189 zenon_H332. % 23.65/23.82 elim (classic ((h4 (op1 (e13) (e12))) = (h4 (op1 (e13) (e12))))); [ zenon_intro zenon_H333 | zenon_intro zenon_H334 ]. % 23.65/23.82 cut (((h4 (op1 (e13) (e12))) = (h4 (op1 (e13) (e12)))) = ((e21) = (h4 (op1 (e13) (e12))))). % 23.65/23.82 intro zenon_D_pnotp. % 23.65/23.82 apply zenon_H332. % 23.65/23.82 rewrite <- zenon_D_pnotp. % 23.65/23.82 exact zenon_H333. % 23.65/23.82 cut (((h4 (op1 (e13) (e12))) = (h4 (op1 (e13) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H334]. % 23.65/23.82 cut (((h4 (op1 (e13) (e12))) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H335]. % 23.65/23.82 congruence. % 23.65/23.82 cut (((h4 (e11)) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) = ((h4 (op1 (e13) (e12))) = (e21))). % 23.65/23.82 intro zenon_D_pnotp. % 23.65/23.82 apply zenon_H335. % 23.65/23.82 rewrite <- zenon_D_pnotp. % 23.65/23.82 exact zenon_H238. % 23.65/23.82 cut (((op2 (op2 (op2 (e23) (e23)) (e23)) (e23)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H239]. % 23.65/23.82 cut (((h4 (e11)) = (h4 (op1 (e13) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H336]. % 23.65/23.82 congruence. % 23.65/23.82 elim (classic ((h4 (op1 (e13) (e12))) = (h4 (op1 (e13) (e12))))); [ zenon_intro zenon_H333 | zenon_intro zenon_H334 ]. % 23.65/23.82 cut (((h4 (op1 (e13) (e12))) = (h4 (op1 (e13) (e12)))) = ((h4 (e11)) = (h4 (op1 (e13) (e12))))). % 23.65/23.82 intro zenon_D_pnotp. % 23.65/23.82 apply zenon_H336. % 23.65/23.82 rewrite <- zenon_D_pnotp. % 23.65/23.82 exact zenon_H333. % 23.65/23.82 cut (((h4 (op1 (e13) (e12))) = (h4 (op1 (e13) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H334]. % 23.65/23.82 cut (((h4 (op1 (e13) (e12))) = (h4 (e11)))); [idtac | apply NNPP; zenon_intro zenon_H337]. % 23.65/23.82 congruence. % 23.65/23.82 cut (((op1 (e13) (e12)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H338]. % 23.65/23.82 congruence. % 23.65/23.82 exact (zenon_H338 zenon_H23c). % 23.65/23.82 apply zenon_H334. apply refl_equal. % 23.65/23.82 apply zenon_H334. apply refl_equal. % 23.65/23.82 apply zenon_H239. apply sym_equal. exact zenon_H189. % 23.65/23.82 apply zenon_H334. apply refl_equal. % 23.65/23.82 apply zenon_H334. apply refl_equal. % 23.65/23.82 (* end of lemma zenon_L330_ *) % 23.65/23.82 assert (zenon_L331_ : ((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (e13) (e13))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((op1 (e10) (e10)) = (e10)) -> (~((e10) = (e11))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> ((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((e11) = (op1 (op1 (op1 (e13) (e13)) (e13)) (e13))) -> ((e12) = (op1 (op1 (e13) (e13)) (e13))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (e11) (e10)) = (e11)) -> (~((op1 (e12) (e12)) = (e11))) -> (~((h4 (op1 (e13) (e12))) = (op2 (h4 (e13)) (h4 (e12))))) -> ((h4 (e11)) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> ((h4 (e13)) = (e23)) -> ((h4 (e12)) = (op2 (op2 (e23) (e23)) (e23))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op2 (e22) (e22)) = (e21))) -> ((op2 (e21) (e20)) = (e21)) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((e20) = (op2 (e23) (e23))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((~((op2 (e21) (e21)) = (e20)))\/((op2 (e21) (e20)) = (e21))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((~((op2 (e22) (e22)) = (e20)))\/((op2 (e22) (e20)) = (e22))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (e23))) -> ((e22) = (op2 (op2 (e23) (e23)) (e23))) -> ((e21) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((~((op2 (e22) (e22)) = (e22)))\/((op2 (e22) (e22)) = (e22))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((e20) = (e21))) -> ((op2 (e20) (e20)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((~((op2 (e21) (e21)) = (e22)))\/((op2 (e21) (e22)) = (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e20)) = (e23)) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> ((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))) -> False). % 23.65/23.82 do 0 intro. intros zenon_Hc8 zenon_Ha6 zenon_H28 zenon_H288 zenon_H242 zenon_H23f zenon_H94 zenon_H62 zenon_H2e zenon_H80 zenon_H8b zenon_H8f zenon_H120 zenon_H12c zenon_Hbc zenon_H87 zenon_H4d zenon_Hc0 zenon_Hfe zenon_H12f zenon_Hc9 zenon_Hf3 zenon_Hce zenon_H9a zenon_H9d zenon_H23b zenon_H112 zenon_H66 zenon_Hbf zenon_H339 zenon_H238 zenon_H26d zenon_H26a zenon_H281 zenon_H1c1 zenon_H168 zenon_H214 zenon_H14 zenon_H245 zenon_H19f zenon_H19b zenon_H1d3 zenon_H1f5 zenon_H1cf zenon_H231 zenon_H200 zenon_H1c2 zenon_H1c5 zenon_H14e zenon_H189 zenon_H1be zenon_H22e zenon_H222 zenon_H191 zenon_H18d zenon_H182 zenon_H1a zenon_H164 zenon_H19e zenon_H249 zenon_H17 zenon_H24c zenon_H27. % 23.65/23.82 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Ha5 ]. % 23.65/23.82 apply (zenon_or_s _ _ zenon_H27); [ zenon_intro zenon_H2a | zenon_intro zenon_H2b ]. % 23.65/23.82 apply zenon_H2a. apply sym_equal. exact zenon_H28. % 23.65/23.82 apply (zenon_or_s _ _ zenon_H288); [ zenon_intro zenon_H208 | zenon_intro zenon_H289 ]. % 23.65/23.82 apply (zenon_L181_); trivial. % 23.65/23.82 apply (zenon_or_s _ _ zenon_H289); [ zenon_intro zenon_H183 | zenon_intro zenon_H28a ]. % 23.65/23.82 apply (zenon_L111_); trivial. % 23.65/23.82 apply (zenon_or_s _ _ zenon_H28a); [ zenon_intro zenon_H1bf | zenon_intro zenon_H246 ]. % 23.65/23.82 exact (zenon_H1c1 zenon_H1bf). % 23.65/23.82 apply (zenon_or_s _ _ zenon_H281); [ zenon_intro zenon_H106 | zenon_intro zenon_H282 ]. % 23.65/23.82 apply (zenon_L178_); trivial. % 23.65/23.82 apply (zenon_or_s _ _ zenon_H282); [ zenon_intro zenon_H81 | zenon_intro zenon_H283 ]. % 23.65/23.82 apply (zenon_L30_); trivial. % 23.65/23.82 apply (zenon_or_s _ _ zenon_H283); [ zenon_intro zenon_Hbd | zenon_intro zenon_H23c ]. % 23.65/23.82 exact (zenon_Hbf zenon_Hbd). % 23.65/23.82 elim (classic ((op2 (h4 (e13)) (h4 (e12))) = (op2 (h4 (e13)) (h4 (e12))))); [ zenon_intro zenon_H33a | zenon_intro zenon_H33b ]. % 23.65/23.82 cut (((op2 (h4 (e13)) (h4 (e12))) = (op2 (h4 (e13)) (h4 (e12)))) = ((h4 (op1 (e13) (e12))) = (op2 (h4 (e13)) (h4 (e12))))). % 23.65/23.82 intro zenon_D_pnotp. % 23.65/23.82 apply zenon_H339. % 23.65/23.82 rewrite <- zenon_D_pnotp. % 23.65/23.82 exact zenon_H33a. % 23.65/23.82 cut (((op2 (h4 (e13)) (h4 (e12))) = (op2 (h4 (e13)) (h4 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H33b]. % 23.65/23.82 cut (((op2 (h4 (e13)) (h4 (e12))) = (h4 (op1 (e13) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H33c]. % 23.65/23.82 congruence. % 23.65/23.82 cut (((op2 (e23) (e22)) = (e21)) = ((op2 (h4 (e13)) (h4 (e12))) = (h4 (op1 (e13) (e12))))). % 23.65/23.82 intro zenon_D_pnotp. % 23.65/23.82 apply zenon_H33c. % 23.65/23.82 rewrite <- zenon_D_pnotp. % 23.65/23.82 exact zenon_H246. % 23.65/23.82 cut (((e21) = (h4 (op1 (e13) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H332]. % 23.65/23.82 cut (((op2 (e23) (e22)) = (op2 (h4 (e13)) (h4 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H33d]. % 23.65/23.82 congruence. % 23.65/23.82 elim (classic ((op2 (h4 (e13)) (h4 (e12))) = (op2 (h4 (e13)) (h4 (e12))))); [ zenon_intro zenon_H33a | zenon_intro zenon_H33b ]. % 23.65/23.82 cut (((op2 (h4 (e13)) (h4 (e12))) = (op2 (h4 (e13)) (h4 (e12)))) = ((op2 (e23) (e22)) = (op2 (h4 (e13)) (h4 (e12))))). % 23.65/23.82 intro zenon_D_pnotp. % 23.65/23.82 apply zenon_H33d. % 23.65/23.82 rewrite <- zenon_D_pnotp. % 23.65/23.82 exact zenon_H33a. % 23.65/23.82 cut (((op2 (h4 (e13)) (h4 (e12))) = (op2 (h4 (e13)) (h4 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H33b]. % 23.65/23.82 cut (((op2 (h4 (e13)) (h4 (e12))) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H33e]. % 23.65/23.82 congruence. % 23.65/23.82 cut (((h4 (e12)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H269]. % 23.65/23.82 cut (((h4 (e13)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H2c9]. % 23.65/23.82 congruence. % 23.65/23.82 exact (zenon_H2c9 zenon_H26d). % 23.65/23.82 apply (zenon_L201_); trivial. % 23.65/23.82 apply zenon_H33b. apply refl_equal. % 23.65/23.82 apply zenon_H33b. apply refl_equal. % 23.65/23.82 apply (zenon_L330_); trivial. % 23.65/23.82 apply zenon_H33b. apply refl_equal. % 23.65/23.82 apply zenon_H33b. apply refl_equal. % 23.65/23.82 apply (zenon_L35_); trivial. % 23.65/23.82 (* end of lemma zenon_L331_ *) % 23.65/23.82 assert (zenon_L332_ : ((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> ((op2 (e23) (e20)) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((~((op2 (e21) (e21)) = (e22)))\/((op2 (e21) (e22)) = (e21))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((op2 (e20) (e20)) = (e20)) -> (~((e20) = (e21))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> ((~((op2 (e22) (e22)) = (e22)))\/((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((e21) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> ((e22) = (op2 (op2 (e23) (e23)) (e23))) -> (~((op2 (e22) (e22)) = (e23))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((~((op2 (e22) (e22)) = (e20)))\/((op2 (e22) (e20)) = (e22))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((~((op2 (e21) (e21)) = (e20)))\/((op2 (e21) (e20)) = (e21))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((e20) = (op2 (e23) (e23))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((op2 (e21) (e20)) = (e21)) -> (~((op2 (e22) (e22)) = (e21))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> ((h4 (e12)) = (op2 (op2 (e23) (e23)) (e23))) -> ((h4 (e13)) = (e23)) -> ((h4 (e11)) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> (~((h4 (op1 (e13) (e12))) = (op2 (h4 (e13)) (h4 (e12))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> ((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12))) -> ((e12) = (op1 (op1 (e13) (e13)) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> ((op1 (e10) (e10)) = (e10)) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (e11))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((e10) = (op1 (e13) (e13))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((e11) = (op1 (op1 (op1 (e13) (e13)) (e13)) (e13))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((e10) = (e11))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> ((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12))) -> False). % 23.65/23.83 do 0 intro. intros zenon_H27 zenon_H24c zenon_H17 zenon_H249 zenon_H19e zenon_H164 zenon_H1a zenon_H182 zenon_H18d zenon_H191 zenon_H222 zenon_H22e zenon_H1be zenon_H189 zenon_H14e zenon_H1c5 zenon_H1c2 zenon_H200 zenon_H231 zenon_H1cf zenon_H1f5 zenon_H1d3 zenon_H19b zenon_H19f zenon_H245 zenon_H14 zenon_H214 zenon_H168 zenon_H1c1 zenon_H281 zenon_H26a zenon_H26d zenon_H238 zenon_H339 zenon_H112 zenon_H23b zenon_H9d zenon_H9a zenon_Hce zenon_Hf3 zenon_Hc9 zenon_H12f zenon_Hfe zenon_Hbc zenon_H12c zenon_H23f zenon_H242 zenon_H288 zenon_Hc8 zenon_H4d zenon_Ha6 zenon_H62 zenon_H2e zenon_Hc0 zenon_Hbf zenon_H6f zenon_H8b zenon_H28 zenon_H8f zenon_H94 zenon_H95 zenon_H87 zenon_H86 zenon_H80 zenon_H96 zenon_H68 zenon_H75 zenon_H7b zenon_H120. % 23.65/23.83 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H90 | zenon_intro zenon_H66 ]. % 23.65/23.83 apply (zenon_L195_); trivial. % 23.65/23.83 apply (zenon_L331_); trivial. % 23.65/23.83 (* end of lemma zenon_L332_ *) % 23.65/23.83 assert (zenon_L333_ : (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((h4 (op1 (e13) (e12))) = (op2 (h4 (e13)) (h4 (e12))))) -> ((h4 (e11)) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> ((h4 (e13)) = (e23)) -> ((h4 (e12)) = (op2 (op2 (e23) (e23)) (e23))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op2 (e22) (e22)) = (e21))) -> ((op2 (e21) (e20)) = (e21)) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((e20) = (op2 (e23) (e23))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((~((op2 (e21) (e21)) = (e20)))\/((op2 (e21) (e20)) = (e21))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((~((op2 (e22) (e22)) = (e20)))\/((op2 (e22) (e20)) = (e22))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (e23))) -> ((e22) = (op2 (op2 (e23) (e23)) (e23))) -> ((e21) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((~((op2 (e22) (e22)) = (e22)))\/((op2 (e22) (e22)) = (e22))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((e20) = (e21))) -> ((op2 (e20) (e20)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((~((op2 (e21) (e21)) = (e22)))\/((op2 (e21) (e22)) = (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e20)) = (e23)) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> ((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))) -> ((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((e11) = (e12))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((e10) = (e11))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((e11) = (op1 (op1 (op1 (e13) (e13)) (e13)) (e13))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> ((e10) = (op1 (e13) (e13))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> ((op1 (e10) (e10)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (e13)) (e13))) -> ((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12))) -> (~((op1 (e12) (e11)) = (e12))) -> ((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12))) -> False). % 23.65/23.83 do 0 intro. intros zenon_H288 zenon_H242 zenon_H23f zenon_H12c zenon_Hbc zenon_Hfe zenon_H12f zenon_Hc9 zenon_Hf3 zenon_Hce zenon_H9a zenon_H9d zenon_H23b zenon_H112 zenon_H339 zenon_H238 zenon_H26d zenon_H26a zenon_H281 zenon_H1c1 zenon_H168 zenon_H214 zenon_H14 zenon_H245 zenon_H19f zenon_H19b zenon_H1d3 zenon_H1f5 zenon_H1cf zenon_H231 zenon_H200 zenon_H1c2 zenon_H1c5 zenon_H14e zenon_H189 zenon_H1be zenon_H22e zenon_H222 zenon_H191 zenon_H18d zenon_H182 zenon_H1a zenon_H164 zenon_H19e zenon_H249 zenon_H17 zenon_H24c zenon_H27 zenon_H120 zenon_H7b zenon_H75 zenon_H68 zenon_H96 zenon_H80 zenon_H86 zenon_H87 zenon_H95 zenon_H94 zenon_H8f zenon_H28 zenon_H8b zenon_H6f zenon_Hc0 zenon_H2e zenon_H62 zenon_Ha6 zenon_H4d zenon_Hc8 zenon_H28b zenon_Hd1. % 23.65/23.83 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H90 | zenon_intro zenon_H66 ]. % 23.65/23.83 apply (zenon_L208_); trivial. % 23.65/23.83 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hcb ]. % 23.65/23.83 apply (zenon_L331_); trivial. % 23.65/23.83 exact (zenon_H28b zenon_Hcb). % 23.65/23.83 (* end of lemma zenon_L333_ *) % 23.65/23.83 assert (zenon_L334_ : ((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12)))) -> ((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12))) -> ((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> ((op2 (e23) (e20)) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((~((op2 (e21) (e21)) = (e22)))\/((op2 (e21) (e22)) = (e21))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((op2 (e20) (e20)) = (e20)) -> (~((e20) = (e21))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> ((~((op2 (e22) (e22)) = (e22)))\/((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((e21) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> ((e22) = (op2 (op2 (e23) (e23)) (e23))) -> (~((op2 (e22) (e22)) = (e23))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((~((op2 (e22) (e22)) = (e20)))\/((op2 (e22) (e20)) = (e22))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((~((op2 (e21) (e21)) = (e20)))\/((op2 (e21) (e20)) = (e21))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((e20) = (op2 (e23) (e23))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((op2 (e21) (e20)) = (e21)) -> (~((op2 (e22) (e22)) = (e21))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> ((h4 (e12)) = (op2 (op2 (e23) (e23)) (e23))) -> ((h4 (e13)) = (e23)) -> ((h4 (e11)) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> (~((h4 (op1 (e13) (e12))) = (op2 (h4 (e13)) (h4 (e12))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> ((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12))) -> ((e12) = (op1 (op1 (e13) (e13)) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((e10) = (op1 (e13) (e13))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((e11) = (op1 (op1 (op1 (e13) (e13)) (e13)) (e13))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((e10) = (e11))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> ((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12))) -> ((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e10)) = (e11))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> False). % 23.65/23.83 do 0 intro. intros zenon_H28c zenon_Hd1 zenon_H27 zenon_H24c zenon_H17 zenon_H249 zenon_H19e zenon_H164 zenon_H1a zenon_H182 zenon_H18d zenon_H191 zenon_H222 zenon_H22e zenon_H1be zenon_H189 zenon_H14e zenon_H1c5 zenon_H1c2 zenon_H200 zenon_H231 zenon_H1cf zenon_H1f5 zenon_H1d3 zenon_H19b zenon_H19f zenon_H245 zenon_H14 zenon_H214 zenon_H168 zenon_H1c1 zenon_H281 zenon_H26a zenon_H26d zenon_H238 zenon_H339 zenon_H112 zenon_H23b zenon_H9d zenon_H9a zenon_Hce zenon_Hf3 zenon_Hc9 zenon_H12f zenon_Hfe zenon_Hbc zenon_H12c zenon_H23f zenon_H242 zenon_H288 zenon_Hc8 zenon_H4d zenon_Ha6 zenon_H62 zenon_Hc0 zenon_H6f zenon_H8b zenon_H28 zenon_H8f zenon_H94 zenon_H95 zenon_H87 zenon_H86 zenon_H80 zenon_H96 zenon_H68 zenon_H75 zenon_H7b zenon_H120 zenon_H9e zenon_H5c zenon_H4c zenon_H5b zenon_H53 zenon_H5a zenon_Hb1 zenon_Hb4. % 23.65/23.83 apply (zenon_or_s _ _ zenon_H28c); [ zenon_intro zenon_Hbf | zenon_intro zenon_H28b ]. % 23.65/23.83 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H2e | zenon_intro zenon_Hb5 ]. % 23.65/23.83 apply (zenon_L332_); trivial. % 23.65/23.83 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_H99 | zenon_intro zenon_Hb6 ]. % 23.65/23.83 exact (zenon_H96 zenon_H99). % 23.65/23.83 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_H6d | zenon_intro zenon_Ha0 ]. % 23.65/23.83 apply (zenon_L33_); trivial. % 23.65/23.83 apply (zenon_L37_); trivial. % 23.65/23.83 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H2e | zenon_intro zenon_Hb5 ]. % 23.65/23.83 apply (zenon_L333_); trivial. % 23.65/23.83 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_H99 | zenon_intro zenon_Hb6 ]. % 23.65/23.83 exact (zenon_H96 zenon_H99). % 23.65/23.83 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_H6d | zenon_intro zenon_Ha0 ]. % 23.65/23.83 apply (zenon_L33_); trivial. % 23.65/23.83 apply (zenon_L37_); trivial. % 23.65/23.83 (* end of lemma zenon_L334_ *) % 23.65/23.83 assert (zenon_L335_ : ((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12)))) -> ((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12))) -> ((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> ((op2 (e23) (e20)) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((~((op2 (e21) (e21)) = (e22)))\/((op2 (e21) (e22)) = (e21))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((op2 (e20) (e20)) = (e20)) -> (~((e20) = (e21))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> ((~((op2 (e22) (e22)) = (e22)))\/((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((e21) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> ((e22) = (op2 (op2 (e23) (e23)) (e23))) -> (~((op2 (e22) (e22)) = (e23))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((~((op2 (e22) (e22)) = (e20)))\/((op2 (e22) (e20)) = (e22))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((~((op2 (e21) (e21)) = (e20)))\/((op2 (e21) (e20)) = (e21))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((e20) = (op2 (e23) (e23))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((op2 (e21) (e20)) = (e21)) -> (~((op2 (e22) (e22)) = (e21))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> ((h4 (e12)) = (op2 (op2 (e23) (e23)) (e23))) -> ((h4 (e13)) = (e23)) -> ((h4 (e11)) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> (~((h4 (op1 (e13) (e12))) = (op2 (h4 (e13)) (h4 (e12))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> ((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12))) -> ((e12) = (op1 (op1 (e13) (e13)) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((e10) = (op1 (e13) (e13))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((e11) = (op1 (op1 (op1 (e13) (e13)) (e13)) (e13))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((e10) = (e11))) -> (~((op1 (e11) (e11)) = (e11))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> ((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12))) -> ((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10))) -> ((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e10) (e11)) = (e10))) -> ((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> False). % 23.65/23.83 do 0 intro. intros zenon_H28c zenon_Hd1 zenon_H27 zenon_H24c zenon_H17 zenon_H249 zenon_H19e zenon_H164 zenon_H1a zenon_H182 zenon_H18d zenon_H191 zenon_H222 zenon_H22e zenon_H1be zenon_H189 zenon_H14e zenon_H1c5 zenon_H1c2 zenon_H200 zenon_H231 zenon_H1cf zenon_H1f5 zenon_H1d3 zenon_H19b zenon_H19f zenon_H245 zenon_H14 zenon_H214 zenon_H168 zenon_H1c1 zenon_H281 zenon_H26a zenon_H26d zenon_H238 zenon_H339 zenon_H112 zenon_H23b zenon_H9d zenon_H9a zenon_Hce zenon_Hf3 zenon_Hc9 zenon_H12f zenon_Hfe zenon_Hbc zenon_H12c zenon_H23f zenon_H242 zenon_H288 zenon_Hc8 zenon_H4d zenon_Ha6 zenon_H62 zenon_Hc0 zenon_H6f zenon_H8b zenon_H28 zenon_H8f zenon_H94 zenon_H95 zenon_H87 zenon_H86 zenon_H80 zenon_H96 zenon_H68 zenon_H75 zenon_H7b zenon_H120 zenon_H9e zenon_H5a zenon_H53 zenon_H4c zenon_H5c zenon_Hb7 zenon_Hb8 zenon_Hb1 zenon_Hb4. % 23.65/23.83 apply (zenon_or_s _ _ zenon_H28c); [ zenon_intro zenon_Hbf | zenon_intro zenon_H28b ]. % 23.65/23.83 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H2e | zenon_intro zenon_Hb5 ]. % 23.65/23.83 apply (zenon_L332_); trivial. % 23.65/23.83 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_H99 | zenon_intro zenon_Hb6 ]. % 23.65/23.83 exact (zenon_H96 zenon_H99). % 23.65/23.83 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_H6d | zenon_intro zenon_Ha0 ]. % 23.65/23.83 apply (zenon_L39_); trivial. % 23.65/23.83 apply (zenon_L37_); trivial. % 23.65/23.83 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H2e | zenon_intro zenon_Hb5 ]. % 23.65/23.83 apply (zenon_L333_); trivial. % 23.65/23.83 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_H99 | zenon_intro zenon_Hb6 ]. % 23.65/23.83 exact (zenon_H96 zenon_H99). % 23.65/23.83 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_H6d | zenon_intro zenon_Ha0 ]. % 23.65/23.83 apply (zenon_L39_); trivial. % 23.65/23.83 apply (zenon_L37_); trivial. % 23.65/23.83 (* end of lemma zenon_L335_ *) % 23.65/23.83 assert (zenon_L336_ : ((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10)))) -> ((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10))) -> ((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12)))) -> ((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12))) -> ((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> ((op2 (e23) (e20)) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((~((op2 (e21) (e21)) = (e22)))\/((op2 (e21) (e22)) = (e21))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((op2 (e20) (e20)) = (e20)) -> (~((e20) = (e21))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> ((~((op2 (e22) (e22)) = (e22)))\/((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((e21) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> ((e22) = (op2 (op2 (e23) (e23)) (e23))) -> (~((op2 (e22) (e22)) = (e23))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((~((op2 (e22) (e22)) = (e20)))\/((op2 (e22) (e20)) = (e22))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((~((op2 (e21) (e21)) = (e20)))\/((op2 (e21) (e20)) = (e21))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((e20) = (op2 (e23) (e23))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((op2 (e21) (e20)) = (e21)) -> (~((op2 (e22) (e22)) = (e21))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> ((h4 (e12)) = (op2 (op2 (e23) (e23)) (e23))) -> ((h4 (e13)) = (e23)) -> ((h4 (e11)) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> (~((h4 (op1 (e13) (e12))) = (op2 (h4 (e13)) (h4 (e12))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> ((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12))) -> ((e12) = (op1 (op1 (e13) (e13)) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> ((e10) = (op1 (e13) (e13))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((e11) = (op1 (op1 (op1 (e13) (e13)) (e13)) (e13))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((e10) = (e11))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> ((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12))) -> ((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> ((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11)))) -> False). % 23.65/23.83 do 0 intro. intros zenon_Hba zenon_Hb8 zenon_H28c zenon_Hd1 zenon_H27 zenon_H24c zenon_H17 zenon_H249 zenon_H19e zenon_H164 zenon_H1a zenon_H182 zenon_H18d zenon_H191 zenon_H222 zenon_H22e zenon_H1be zenon_H189 zenon_H14e zenon_H1c5 zenon_H1c2 zenon_H200 zenon_H231 zenon_H1cf zenon_H1f5 zenon_H1d3 zenon_H19b zenon_H19f zenon_H245 zenon_H14 zenon_H214 zenon_H168 zenon_H1c1 zenon_H281 zenon_H26a zenon_H26d zenon_H238 zenon_H339 zenon_H112 zenon_H23b zenon_H9d zenon_H9a zenon_Hce zenon_Hf3 zenon_Hc9 zenon_H12f zenon_Hfe zenon_Hbc zenon_H12c zenon_H23f zenon_H242 zenon_H288 zenon_Hc8 zenon_H4d zenon_Ha6 zenon_H62 zenon_Hc0 zenon_H6f zenon_H8b zenon_H28 zenon_H8f zenon_H94 zenon_H95 zenon_H87 zenon_H86 zenon_H80 zenon_H68 zenon_H75 zenon_H7b zenon_H120 zenon_H9e zenon_H5c zenon_H4c zenon_H53 zenon_H5a zenon_Hb1 zenon_Hb4 zenon_Hbb. % 23.65/23.83 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H5b | zenon_intro zenon_Hb7 ]. % 23.65/23.83 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H96 | zenon_intro zenon_H96 ]. % 23.65/23.83 apply (zenon_L334_); trivial. % 23.65/23.83 apply (zenon_L334_); trivial. % 23.65/23.83 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H96 | zenon_intro zenon_H96 ]. % 23.65/23.83 apply (zenon_L335_); trivial. % 23.65/23.83 apply (zenon_L335_); trivial. % 23.65/23.83 (* end of lemma zenon_L336_ *) % 23.65/23.83 assert (zenon_L337_ : ((~((op2 (e22) (e22)) = (e23)))\/((op2 (e22) (e23)) = (e22))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (e23) (e23))) -> ((((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e11) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e11) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e11) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e12) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e12) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e12) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e13) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e13) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e13) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))\/(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))))))))))))))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10))) -> ((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((~((op2 (e21) (e21)) = (e22)))\/((op2 (e21) (e22)) = (e21))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((op2 (e20) (e20)) = (e20)) -> (~((e20) = (e21))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> ((~((op2 (e22) (e22)) = (e22)))\/((op2 (e22) (e22)) = (e22))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((e21) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> ((e22) = (op2 (op2 (e23) (e23)) (e23))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((~((op2 (e22) (e22)) = (e20)))\/((op2 (e22) (e20)) = (e22))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((~((op2 (e21) (e21)) = (e20)))\/((op2 (e21) (e20)) = (e21))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((op2 (e21) (e20)) = (e21)) -> (~((op2 (e22) (e22)) = (e21))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> ((h4 (e12)) = (op2 (op2 (e23) (e23)) (e23))) -> ((h4 (e13)) = (e23)) -> ((h4 (e11)) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> (~((h4 (op1 (e13) (e12))) = (op2 (h4 (e13)) (h4 (e12))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> ((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12))) -> ((e12) = (op1 (op1 (e13) (e13)) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((e11) = (op1 (op1 (op1 (e13) (e13)) (e13)) (e13))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((e10) = (e11))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> ((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12))) -> ((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> ((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))) -> ((e10) = (op1 (e13) (e13))) -> ((~((op2 (e23) (e23)) = (e20)))\/((op2 (e23) (e20)) = (e23))) -> False). % 23.65/23.83 do 0 intro. intros zenon_H1ca zenon_H1a8 zenon_H14 zenon_H135 zenon_H132 zenon_H121 zenon_H101 zenon_H107 zenon_H11d zenon_Hf9 zenon_H11a zenon_H10f zenon_Heb zenon_He7 zenon_Hdb zenon_Hcf zenon_Hb8 zenon_Hd1 zenon_H24c zenon_H249 zenon_H19e zenon_H164 zenon_H1a zenon_H182 zenon_H18d zenon_H191 zenon_H222 zenon_H22e zenon_H1be zenon_H189 zenon_H14e zenon_H1c2 zenon_H200 zenon_H231 zenon_H1cf zenon_H1f5 zenon_H1d3 zenon_H19b zenon_H19f zenon_H245 zenon_H214 zenon_H168 zenon_H1c1 zenon_H281 zenon_H26a zenon_H26d zenon_H238 zenon_H339 zenon_H112 zenon_H23b zenon_H9d zenon_H9a zenon_Hce zenon_Hf3 zenon_Hc9 zenon_H12f zenon_Hfe zenon_Hbc zenon_H12c zenon_H23f zenon_H242 zenon_H288 zenon_Hc8 zenon_H4d zenon_Ha6 zenon_H62 zenon_Hc0 zenon_H6f zenon_H8b zenon_H8f zenon_H94 zenon_H95 zenon_H87 zenon_H86 zenon_H80 zenon_H68 zenon_H75 zenon_H7b zenon_H120 zenon_H9e zenon_H5c zenon_H4c zenon_H53 zenon_H5a zenon_Hb1 zenon_Hb4 zenon_H27 zenon_H28 zenon_H13. % 23.65/23.83 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H1a7 ]. % 23.65/23.83 apply (zenon_or_s _ _ zenon_H13); [ zenon_intro zenon_H16 | zenon_intro zenon_H17 ]. % 23.65/23.83 apply zenon_H16. apply sym_equal. exact zenon_H14. % 23.65/23.83 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H2c | zenon_intro zenon_H136 ]. % 23.65/23.83 apply (zenon_L7_); trivial. % 23.65/23.83 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H34 | zenon_intro zenon_H137 ]. % 23.65/23.83 apply (zenon_L8_); trivial. % 23.65/23.83 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H36 | zenon_intro zenon_H138 ]. % 23.65/23.83 apply (zenon_L9_); trivial. % 23.65/23.83 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H38 | zenon_intro zenon_H139 ]. % 23.65/23.83 apply (zenon_L10_); trivial. % 23.65/23.83 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H13b | zenon_intro zenon_H13a ]. % 23.65/23.83 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_H63. zenon_intro zenon_H13c. % 23.65/23.83 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_Hba. zenon_intro zenon_H13d. % 23.65/23.83 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_Hbb. zenon_intro zenon_H13e. % 23.65/23.83 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_H28c. zenon_intro zenon_H28e. % 23.65/23.83 apply (zenon_L336_); trivial. % 23.65/23.83 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H140 | zenon_intro zenon_H13f ]. % 23.65/23.83 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H99. zenon_intro zenon_H13c. % 23.65/23.83 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_Hba. zenon_intro zenon_H13d. % 23.65/23.83 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_Hbb. zenon_intro zenon_H13e. % 23.65/23.83 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_H28c. zenon_intro zenon_H28e. % 23.65/23.83 apply (zenon_L336_); trivial. % 23.65/23.83 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H142 | zenon_intro zenon_H141 ]. % 23.65/23.83 apply (zenon_and_s _ _ zenon_H142). zenon_intro zenon_H6e. zenon_intro zenon_H13c. % 23.65/23.83 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_Hba. zenon_intro zenon_H13d. % 23.65/23.83 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_Hbb. zenon_intro zenon_H13e. % 23.65/23.83 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_H28c. zenon_intro zenon_H28e. % 23.65/23.83 apply (zenon_L336_); trivial. % 23.65/23.83 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H144 | zenon_intro zenon_H143 ]. % 23.65/23.83 apply (zenon_and_s _ _ zenon_H144). zenon_intro zenon_He4. zenon_intro zenon_H13c. % 23.65/23.83 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_Hba. zenon_intro zenon_H13d. % 23.65/23.83 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_Hbb. zenon_intro zenon_H13e. % 23.65/23.83 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_H28c. zenon_intro zenon_H28e. % 23.65/23.83 apply (zenon_L336_); trivial. % 23.65/23.83 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H145 ]. % 23.65/23.83 apply (zenon_L47_); trivial. % 23.65/23.83 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_He1 | zenon_intro zenon_H146 ]. % 23.65/23.83 apply (zenon_L49_); trivial. % 23.65/23.83 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_He2 | zenon_intro zenon_H147 ]. % 23.65/23.83 apply (zenon_L50_); trivial. % 23.65/23.83 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_Hea | zenon_intro zenon_H148 ]. % 23.65/23.83 apply (zenon_L53_); trivial. % 23.65/23.83 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H149 ]. % 23.65/23.83 apply (zenon_L55_); trivial. % 23.65/23.83 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H124 | zenon_intro zenon_H14a ]. % 23.65/23.83 apply (zenon_L78_); trivial. % 23.65/23.83 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_H133 | zenon_intro zenon_H134 ]. % 23.65/23.83 apply (zenon_L91_); trivial. % 23.65/23.83 apply (zenon_L92_); trivial. % 23.65/23.83 apply (zenon_L116_); trivial. % 23.65/23.83 (* end of lemma zenon_L337_ *) % 23.65/23.83 assert (zenon_L338_ : ((~((op2 (e23) (e23)) = (e20)))\/((op2 (e23) (e20)) = (e23))) -> ((e10) = (op1 (e13) (e13))) -> ((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> ((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10))) -> ((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((e11) = (e12))) -> (~((e10) = (e11))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((e11) = (op1 (op1 (op1 (e13) (e13)) (e13)) (e13))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (e13)) (e13))) -> ((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((h4 (op1 (e13) (e12))) = (op2 (h4 (e13)) (h4 (e12))))) -> ((h4 (e11)) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> ((h4 (e13)) = (e23)) -> ((h4 (e12)) = (op2 (op2 (e23) (e23)) (e23))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((~((op2 (e21) (e21)) = (e20)))\/((op2 (e21) (e20)) = (e21))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((~((op2 (e22) (e22)) = (e20)))\/((op2 (e22) (e20)) = (e22))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> ((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12))) -> ((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> ((((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e11) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e11) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e11) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e12) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e12) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e12) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e13) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e13) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e13) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))\/(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))))))))))))))))) -> ((~((op2 (e22) (e22)) = (e22)))\/((op2 (e22) (e22)) = (e22))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> ((e21) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((e20) = (e21))) -> (~((op2 (e21) (e21)) = (e21))) -> (~((e21) = (e22))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> ((e20) = (op2 (e23) (e23))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e22)) = (e21))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> ((op2 (e20) (e20)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((e22) = (op2 (op2 (e23) (e23)) (e23))) -> ((~((op2 (e22) (e22)) = (e23)))\/((op2 (e22) (e23)) = (e22))) -> ((~((op2 (e21) (e21)) = (e22)))\/((op2 (e21) (e22)) = (e21))) -> False). % 23.65/23.83 do 0 intro. intros zenon_H13 zenon_H28 zenon_H27 zenon_Hb4 zenon_Hb1 zenon_H5a zenon_H53 zenon_H4c zenon_H5c zenon_H9e zenon_H120 zenon_H7b zenon_H75 zenon_H68 zenon_H80 zenon_H86 zenon_H87 zenon_H95 zenon_H94 zenon_H8f zenon_H8b zenon_H6f zenon_Hc0 zenon_H62 zenon_Ha6 zenon_H4d zenon_Hc8 zenon_H288 zenon_H242 zenon_H23f zenon_H12c zenon_Hbc zenon_Hfe zenon_H12f zenon_Hc9 zenon_Hf3 zenon_Hce zenon_H9a zenon_H9d zenon_H23b zenon_H112 zenon_H339 zenon_H238 zenon_H26d zenon_H26a zenon_H281 zenon_H214 zenon_H245 zenon_H19f zenon_H19b zenon_H1d3 zenon_H1f5 zenon_H1cf zenon_H231 zenon_H200 zenon_H1be zenon_H22e zenon_H249 zenon_H24c zenon_Hd1 zenon_Hb8 zenon_Hcf zenon_Hdb zenon_He7 zenon_Heb zenon_H10f zenon_H11a zenon_Hf9 zenon_H11d zenon_H107 zenon_H101 zenon_H121 zenon_H132 zenon_H135 zenon_H222 zenon_H194 zenon_H189 zenon_H188 zenon_H182 zenon_H193 zenon_H16a zenon_H177 zenon_H17d zenon_H191 zenon_H14 zenon_H18d zenon_H171 zenon_H1c1 zenon_H1c2 zenon_H1a zenon_H164 zenon_H1a8 zenon_H14e zenon_H1ca zenon_H19e. % 23.65/23.83 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_H192 | zenon_intro zenon_H168 ]. % 23.65/23.83 apply (zenon_L193_); trivial. % 23.65/23.83 apply (zenon_L337_); trivial. % 23.65/23.83 (* end of lemma zenon_L338_ *) % 23.65/23.83 assert (zenon_L339_ : ((((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e11) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e11) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e11) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e12) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e12) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e12) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e13) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e13) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e13) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))\/(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))))))))))))))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10))) -> ((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((~((op2 (e22) (e22)) = (e20)))\/((op2 (e22) (e20)) = (e22))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((~((op2 (e21) (e21)) = (e20)))\/((op2 (e21) (e20)) = (e21))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> ((h4 (e12)) = (op2 (op2 (e23) (e23)) (e23))) -> ((h4 (e13)) = (e23)) -> ((h4 (e11)) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> (~((h4 (op1 (e13) (e12))) = (op2 (h4 (e13)) (h4 (e12))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> ((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12))) -> ((e12) = (op1 (op1 (e13) (e13)) (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((e11) = (op1 (op1 (op1 (e13) (e13)) (e13)) (e13))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> (~((e10) = (e11))) -> (~((e11) = (e12))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> ((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12))) -> ((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> ((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> ((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))) -> ((e10) = (op1 (e13) (e13))) -> ((~((op2 (e23) (e23)) = (e20)))\/((op2 (e23) (e20)) = (e23))) -> ((~((op2 (e22) (e22)) = (e21)))\/((op2 (e22) (e21)) = (e22))) -> (~((op2 (e22) (e21)) = (e22))) -> ((~((op2 (e22) (e22)) = (e23)))\/((op2 (e22) (e23)) = (e22))) -> ((e22) = (op2 (op2 (e23) (e23)) (e23))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> ((op2 (e20) (e20)) = (e20)) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> ((e20) = (op2 (e23) (e23))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((e21) = (e22))) -> (~((op2 (e21) (e21)) = (e21))) -> (~((e20) = (e21))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> ((e21) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> ((~((op2 (e22) (e22)) = (e22)))\/((op2 (e22) (e22)) = (e22))) -> ((~((op2 (e21) (e21)) = (e22)))\/((op2 (e21) (e22)) = (e21))) -> False). % 23.65/23.83 do 0 intro. intros zenon_H135 zenon_H132 zenon_H121 zenon_H101 zenon_H107 zenon_H11d zenon_Hf9 zenon_H11a zenon_H10f zenon_Heb zenon_He7 zenon_Hdb zenon_Hcf zenon_Hb8 zenon_Hd1 zenon_H24c zenon_H249 zenon_H22e zenon_H1be zenon_H200 zenon_H231 zenon_H1cf zenon_H1f5 zenon_H1d3 zenon_H19b zenon_H19f zenon_H245 zenon_H214 zenon_H281 zenon_H26a zenon_H26d zenon_H238 zenon_H339 zenon_H112 zenon_H23b zenon_H9d zenon_H9a zenon_Hce zenon_Hf3 zenon_Hc9 zenon_H12f zenon_Hfe zenon_Hbc zenon_H12c zenon_H23f zenon_H242 zenon_H288 zenon_Hc8 zenon_H4d zenon_Ha6 zenon_H62 zenon_Hc0 zenon_H6f zenon_H8b zenon_H8f zenon_H94 zenon_H95 zenon_H87 zenon_H86 zenon_H80 zenon_H68 zenon_H75 zenon_H7b zenon_H120 zenon_H9e zenon_H5c zenon_H4c zenon_H53 zenon_H5a zenon_Hb1 zenon_Hb4 zenon_H27 zenon_H28 zenon_H13 zenon_H1d4 zenon_H28f zenon_H1ca zenon_H14e zenon_H1a8 zenon_H164 zenon_H1a zenon_H1c2 zenon_H171 zenon_H18d zenon_H14 zenon_H191 zenon_H17d zenon_H177 zenon_H16a zenon_H193 zenon_H182 zenon_H188 zenon_H189 zenon_H194 zenon_H222 zenon_H19e. % 23.65/23.83 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_H192 | zenon_intro zenon_H168 ]. % 23.65/23.83 apply (zenon_L215_); trivial. % 23.65/23.83 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1d1 ]. % 23.65/23.83 apply (zenon_L337_); trivial. % 23.65/23.83 exact (zenon_H28f zenon_H1d1). % 23.65/23.83 (* end of lemma zenon_L339_ *) % 23.65/23.83 assert (zenon_L340_ : ((~((op2 (e22) (e22)) = (e21)))\/(~((op2 (e22) (e21)) = (e22)))) -> ((~((op2 (e22) (e22)) = (e21)))\/((op2 (e22) (e21)) = (e22))) -> ((~((op2 (e23) (e23)) = (e20)))\/((op2 (e23) (e20)) = (e23))) -> ((e10) = (op1 (e13) (e13))) -> ((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> ((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10))) -> ((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((e11) = (e12))) -> (~((e10) = (e11))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((e11) = (op1 (op1 (op1 (e13) (e13)) (e13)) (e13))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (e13)) (e13))) -> ((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((h4 (op1 (e13) (e12))) = (op2 (h4 (e13)) (h4 (e12))))) -> ((h4 (e11)) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> ((h4 (e13)) = (e23)) -> ((h4 (e12)) = (op2 (op2 (e23) (e23)) (e23))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((~((op2 (e21) (e21)) = (e20)))\/((op2 (e21) (e20)) = (e21))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((~((op2 (e22) (e22)) = (e20)))\/((op2 (e22) (e20)) = (e22))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> ((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12))) -> ((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> ((((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e11) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e11) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e11) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e12) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e12) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e12) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e13) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e13) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e13) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))\/(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))))))))))))))))) -> ((~((op2 (e22) (e22)) = (e22)))\/((op2 (e22) (e22)) = (e22))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> ((e21) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((e20) = (e21))) -> (~((op2 (e21) (e21)) = (e21))) -> (~((e21) = (e22))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> ((e20) = (op2 (e23) (e23))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((e22) = (op2 (op2 (e23) (e23)) (e23))) -> ((~((op2 (e22) (e22)) = (e23)))\/((op2 (e22) (e23)) = (e22))) -> ((~((op2 (e21) (e21)) = (e22)))\/((op2 (e21) (e22)) = (e21))) -> ((~((op2 (e20) (e20)) = (e20)))\/((op2 (e20) (e20)) = (e20))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e20)) = (e22))\/((op2 (e20) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e20)) = (e21))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((~((op2 (e20) (e20)) = (e23)))\/((op2 (e20) (e23)) = (e20))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> False). % 23.65/23.83 do 0 intro. intros zenon_H290 zenon_H1d4 zenon_H13 zenon_H28 zenon_H27 zenon_Hb4 zenon_Hb1 zenon_H5a zenon_H53 zenon_H4c zenon_H5c zenon_H9e zenon_H120 zenon_H7b zenon_H75 zenon_H68 zenon_H80 zenon_H86 zenon_H87 zenon_H95 zenon_H94 zenon_H8f zenon_H8b zenon_H6f zenon_Hc0 zenon_H62 zenon_Ha6 zenon_H4d zenon_Hc8 zenon_H288 zenon_H242 zenon_H23f zenon_H12c zenon_Hbc zenon_Hfe zenon_H12f zenon_Hc9 zenon_Hf3 zenon_Hce zenon_H9a zenon_H9d zenon_H23b zenon_H112 zenon_H339 zenon_H238 zenon_H26d zenon_H26a zenon_H281 zenon_H214 zenon_H245 zenon_H19f zenon_H19b zenon_H1d3 zenon_H1f5 zenon_H1cf zenon_H231 zenon_H200 zenon_H1be zenon_H22e zenon_H249 zenon_H24c zenon_Hd1 zenon_Hb8 zenon_Hcf zenon_Hdb zenon_He7 zenon_Heb zenon_H10f zenon_H11a zenon_Hf9 zenon_H11d zenon_H107 zenon_H101 zenon_H121 zenon_H132 zenon_H135 zenon_H222 zenon_H194 zenon_H189 zenon_H188 zenon_H182 zenon_H193 zenon_H16a zenon_H177 zenon_H17d zenon_H191 zenon_H14 zenon_H18d zenon_H171 zenon_H1c2 zenon_H164 zenon_H1a8 zenon_H14e zenon_H1ca zenon_H19e zenon_H1a0 zenon_H15e zenon_H14d zenon_H15d zenon_H154 zenon_H15b zenon_H1b3 zenon_H1b6. % 23.65/23.83 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H28f ]. % 23.65/23.83 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H1a | zenon_intro zenon_H1b7 ]. % 23.65/23.83 apply (zenon_L338_); trivial. % 23.65/23.83 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H19a | zenon_intro zenon_H1b8 ]. % 23.65/23.83 exact (zenon_H193 zenon_H19a). % 23.65/23.83 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H16f | zenon_intro zenon_H1a2 ]. % 23.65/23.83 apply (zenon_L114_); trivial. % 23.65/23.83 apply (zenon_L118_); trivial. % 23.65/23.83 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H1a | zenon_intro zenon_H1b7 ]. % 23.65/23.83 apply (zenon_L339_); trivial. % 23.65/23.83 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H19a | zenon_intro zenon_H1b8 ]. % 23.65/23.83 exact (zenon_H193 zenon_H19a). % 23.65/23.83 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H16f | zenon_intro zenon_H1a2 ]. % 23.65/23.83 apply (zenon_L114_); trivial. % 23.65/23.83 apply (zenon_L118_); trivial. % 23.65/23.83 (* end of lemma zenon_L340_ *) % 23.65/23.83 assert (zenon_L341_ : ((~((op2 (e22) (e22)) = (e21)))\/(~((op2 (e22) (e21)) = (e22)))) -> ((~((op2 (e22) (e22)) = (e21)))\/((op2 (e22) (e21)) = (e22))) -> ((~((op2 (e23) (e23)) = (e20)))\/((op2 (e23) (e20)) = (e23))) -> ((e10) = (op1 (e13) (e13))) -> ((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> ((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10))) -> ((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((e11) = (e12))) -> (~((e10) = (e11))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((e11) = (op1 (op1 (op1 (e13) (e13)) (e13)) (e13))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (e13)) (e13))) -> ((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((h4 (op1 (e13) (e12))) = (op2 (h4 (e13)) (h4 (e12))))) -> ((h4 (e11)) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> ((h4 (e13)) = (e23)) -> ((h4 (e12)) = (op2 (op2 (e23) (e23)) (e23))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((~((op2 (e21) (e21)) = (e20)))\/((op2 (e21) (e20)) = (e21))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((~((op2 (e22) (e22)) = (e20)))\/((op2 (e22) (e20)) = (e22))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> ((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12))) -> ((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> ((((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e11) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e11) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e11) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e12) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e12) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e12) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e13) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e13) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e13) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))\/(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))))))))))))))))) -> ((~((op2 (e22) (e22)) = (e22)))\/((op2 (e22) (e22)) = (e22))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> ((e21) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((e20) = (e21))) -> (~((op2 (e21) (e21)) = (e21))) -> (~((e21) = (e22))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> ((e20) = (op2 (e23) (e23))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((e22) = (op2 (op2 (e23) (e23)) (e23))) -> ((~((op2 (e22) (e22)) = (e23)))\/((op2 (e22) (e23)) = (e22))) -> ((~((op2 (e21) (e21)) = (e22)))\/((op2 (e21) (e22)) = (e21))) -> ((~((op2 (e20) (e20)) = (e20)))\/((op2 (e20) (e20)) = (e20))) -> ((~((op2 (e20) (e20)) = (e23)))\/((op2 (e20) (e23)) = (e20))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e20)) = (e22))\/((op2 (e20) (e20)) = (e23))))) -> (~((op2 (e20) (e21)) = (e20))) -> ((~((op2 (e20) (e20)) = (e21)))\/((op2 (e20) (e21)) = (e20))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> False). % 23.65/23.83 do 0 intro. intros zenon_H290 zenon_H1d4 zenon_H13 zenon_H28 zenon_H27 zenon_Hb4 zenon_Hb1 zenon_H5a zenon_H53 zenon_H4c zenon_H5c zenon_H9e zenon_H120 zenon_H7b zenon_H75 zenon_H68 zenon_H80 zenon_H86 zenon_H87 zenon_H95 zenon_H94 zenon_H8f zenon_H8b zenon_H6f zenon_Hc0 zenon_H62 zenon_Ha6 zenon_H4d zenon_Hc8 zenon_H288 zenon_H242 zenon_H23f zenon_H12c zenon_Hbc zenon_Hfe zenon_H12f zenon_Hc9 zenon_Hf3 zenon_Hce zenon_H9a zenon_H9d zenon_H23b zenon_H112 zenon_H339 zenon_H238 zenon_H26d zenon_H26a zenon_H281 zenon_H214 zenon_H245 zenon_H19f zenon_H19b zenon_H1d3 zenon_H1f5 zenon_H1cf zenon_H231 zenon_H200 zenon_H1be zenon_H22e zenon_H249 zenon_H24c zenon_Hd1 zenon_Hb8 zenon_Hcf zenon_Hdb zenon_He7 zenon_Heb zenon_H10f zenon_H11a zenon_Hf9 zenon_H11d zenon_H107 zenon_H101 zenon_H121 zenon_H132 zenon_H135 zenon_H222 zenon_H194 zenon_H189 zenon_H188 zenon_H182 zenon_H193 zenon_H16a zenon_H177 zenon_H17d zenon_H191 zenon_H14 zenon_H18d zenon_H171 zenon_H1c2 zenon_H164 zenon_H1a8 zenon_H14e zenon_H1ca zenon_H19e zenon_H1a0 zenon_H15b zenon_H154 zenon_H14d zenon_H15e zenon_H1b9 zenon_H1ba zenon_H1b3 zenon_H1b6. % 23.65/23.83 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H28f ]. % 23.65/23.83 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H1a | zenon_intro zenon_H1b7 ]. % 23.65/23.83 apply (zenon_L338_); trivial. % 23.65/23.83 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H19a | zenon_intro zenon_H1b8 ]. % 23.65/23.83 exact (zenon_H193 zenon_H19a). % 23.65/23.83 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H16f | zenon_intro zenon_H1a2 ]. % 23.65/23.83 apply (zenon_L120_); trivial. % 23.65/23.83 apply (zenon_L118_); trivial. % 23.65/23.83 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H1a | zenon_intro zenon_H1b7 ]. % 23.65/23.83 apply (zenon_L339_); trivial. % 23.65/23.83 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H19a | zenon_intro zenon_H1b8 ]. % 23.65/23.83 exact (zenon_H193 zenon_H19a). % 23.65/23.83 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H16f | zenon_intro zenon_H1a2 ]. % 23.65/23.83 apply (zenon_L120_); trivial. % 23.65/23.83 apply (zenon_L118_); trivial. % 23.65/23.83 (* end of lemma zenon_L341_ *) % 23.65/23.83 assert (zenon_L342_ : ((~((op2 (e20) (e20)) = (e21)))\/(~((op2 (e20) (e21)) = (e20)))) -> ((~((op2 (e20) (e20)) = (e21)))\/((op2 (e20) (e21)) = (e20))) -> ((~((op2 (e22) (e22)) = (e21)))\/(~((op2 (e22) (e21)) = (e22)))) -> ((~((op2 (e22) (e22)) = (e21)))\/((op2 (e22) (e21)) = (e22))) -> ((~((op2 (e23) (e23)) = (e20)))\/((op2 (e23) (e20)) = (e23))) -> ((e10) = (op1 (e13) (e13))) -> ((~((op1 (e13) (e13)) = (e10)))\/((op1 (e13) (e10)) = (e13))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((~((op1 (e10) (e10)) = (e13)))\/((op1 (e10) (e13)) = (e10))) -> (~((op1 (e10) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e10)) = (e12))\/((op1 (e10) (e10)) = (e13))))) -> ((~((op1 (e10) (e10)) = (e10)))\/((op1 (e10) (e10)) = (e10))) -> ((~((op1 (e12) (e12)) = (e12)))\/((op1 (e12) (e12)) = (e12))) -> (((op1 (e11) (e10)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/((op1 (e11) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((e11) = (e12))) -> (~((e10) = (e11))) -> (~((op1 (e11) (e13)) = (op1 (e12) (e13)))) -> ((e11) = (op1 (op1 (op1 (e13) (e13)) (e13)) (e13))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((~((op1 (e11) (e11)) = (e12)))\/((op1 (e11) (e12)) = (e11))) -> (((op1 (e11) (e10)) = (e10))\/(((op1 (e11) (e11)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/((op1 (e11) (e13)) = (e10))))) -> (~((op1 (e11) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e12)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e11) (e10)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e12) = (op1 (op1 (e13) (e13)) (e13))) -> ((~((op1 (e12) (e12)) = (e13)))\/((op1 (e12) (e13)) = (e12))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e12))\/(((op1 (e11) (e11)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/((op1 (e13) (e11)) = (e12))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((~((op1 (e12) (e12)) = (e10)))\/((op1 (e12) (e10)) = (e12))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((~((op1 (e11) (e11)) = (e10)))\/((op1 (e11) (e10)) = (e11))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((h4 (op1 (e13) (e12))) = (op2 (h4 (e13)) (h4 (e12))))) -> ((h4 (e11)) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> ((h4 (e13)) = (e23)) -> ((h4 (e12)) = (op2 (op2 (e23) (e23)) (e23))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((~((op2 (e21) (e21)) = (e20)))\/((op2 (e21) (e20)) = (e21))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((~((op2 (e22) (e22)) = (e20)))\/((op2 (e22) (e20)) = (e22))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((op2 (e20) (e21)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/((op2 (e23) (e21)) = (e22))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> ((~((op1 (e12) (e12)) = (e11)))\/((op1 (e12) (e11)) = (e12))) -> ((~((op1 (e10) (e10)) = (e11)))\/((op1 (e10) (e11)) = (e10))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e11) (e13)) = (e10))\/(((op1 (e11) (e13)) = (e11))\/(((op1 (e11) (e13)) = (e12))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e10))\/(((op1 (e11) (e12)) = (e10))\/(((op1 (e12) (e12)) = (e10))\/((op1 (e13) (e12)) = (e10))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e10)) = (e11))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e12)) = (e11))\/((op1 (e10) (e13)) = (e11))))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> ((((op1 (e10) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e10) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e10) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e10) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e10)))\/(~((op1 (e10) (e10)) = (e10))))/\(((~((op1 (e11) (e11)) = (e10)))\/(~((op1 (e11) (e10)) = (e11))))/\(((~((op1 (e12) (e12)) = (e10)))\/(~((op1 (e12) (e10)) = (e12))))/\((~((op1 (e13) (e13)) = (e10)))\/(~((op1 (e13) (e10)) = (e13))))))))\/((((op1 (e11) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e11) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e11) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e11) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e11)))\/(~((op1 (e10) (e11)) = (e10))))/\(((~((op1 (e11) (e11)) = (e11)))\/(~((op1 (e11) (e11)) = (e11))))/\(((~((op1 (e12) (e12)) = (e11)))\/(~((op1 (e12) (e11)) = (e12))))/\((~((op1 (e13) (e13)) = (e11)))\/(~((op1 (e13) (e11)) = (e13))))))))\/((((op1 (e12) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e12) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e12) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e12) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e12)))\/(~((op1 (e10) (e12)) = (e10))))/\(((~((op1 (e11) (e11)) = (e12)))\/(~((op1 (e11) (e12)) = (e11))))/\(((~((op1 (e12) (e12)) = (e12)))\/(~((op1 (e12) (e12)) = (e12))))/\((~((op1 (e13) (e13)) = (e12)))\/(~((op1 (e13) (e12)) = (e13))))))))\/((((op1 (e13) (e10)) = (e10))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e13) (e11)) = (e11))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))\/((((op1 (e13) (e12)) = (e12))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))\/(((op1 (e13) (e13)) = (e13))/\(((~((op1 (e10) (e10)) = (e13)))\/(~((op1 (e10) (e13)) = (e10))))/\(((~((op1 (e11) (e11)) = (e13)))\/(~((op1 (e11) (e13)) = (e11))))/\(((~((op1 (e12) (e12)) = (e13)))\/(~((op1 (e12) (e13)) = (e12))))/\((~((op1 (e13) (e13)) = (e13)))\/(~((op1 (e13) (e13)) = (e13))))))))))))))))))))))) -> ((~((op2 (e22) (e22)) = (e22)))\/((op2 (e22) (e22)) = (e22))) -> (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> ((e21) = (op2 (op2 (op2 (e23) (e23)) (e23)) (e23))) -> (~((op2 (e21) (e23)) = (op2 (e22) (e23)))) -> (~((e20) = (e21))) -> (~((e21) = (e22))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e21) (e20)) = (e22))\/(((op2 (e21) (e21)) = (e22))\/(((op2 (e21) (e22)) = (e22))\/((op2 (e21) (e23)) = (e22))))) -> (((op2 (e21) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e20))\/(((op2 (e21) (e22)) = (e20))\/((op2 (e21) (e23)) = (e20))))) -> ((e20) = (op2 (e23) (e23))) -> (~((op2 (e21) (e23)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e22)) = (e20))\/(((op2 (e22) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e22)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e21) (e20)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((e22) = (op2 (op2 (e23) (e23)) (e23))) -> ((~((op2 (e22) (e22)) = (e23)))\/((op2 (e22) (e23)) = (e22))) -> ((~((op2 (e21) (e21)) = (e22)))\/((op2 (e21) (e22)) = (e21))) -> ((~((op2 (e20) (e20)) = (e20)))\/((op2 (e20) (e20)) = (e20))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e20) (e20)) = (e21))\/(((op2 (e20) (e20)) = (e22))\/((op2 (e20) (e20)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e23) (e23)))) -> ((~((op2 (e20) (e20)) = (e23)))\/((op2 (e20) (e23)) = (e20))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (((op2 (e20) (e20)) = (e20))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e23) (e23)) = (e23))))) -> ((~((op2 (e21) (e21)) = (e21)))\/(~((op2 (e21) (e21)) = (e21)))) -> False). % 23.65/23.83 do 0 intro. intros zenon_H1bc zenon_H1ba zenon_H290 zenon_H1d4 zenon_H13 zenon_H28 zenon_H27 zenon_Hb4 zenon_Hb1 zenon_H5a zenon_H53 zenon_H4c zenon_H5c zenon_H9e zenon_H120 zenon_H7b zenon_H75 zenon_H68 zenon_H80 zenon_H86 zenon_H87 zenon_H95 zenon_H94 zenon_H8f zenon_H8b zenon_H6f zenon_Hc0 zenon_H62 zenon_Ha6 zenon_H4d zenon_Hc8 zenon_H288 zenon_H242 zenon_H23f zenon_H12c zenon_Hbc zenon_Hfe zenon_H12f zenon_Hc9 zenon_Hf3 zenon_Hce zenon_H9a zenon_H9d zenon_H23b zenon_H112 zenon_H339 zenon_H238 zenon_H26d zenon_H26a zenon_H281 zenon_H214 zenon_H245 zenon_H19f zenon_H19b zenon_H1d3 zenon_H1f5 zenon_H1cf zenon_H231 zenon_H200 zenon_H1be zenon_H22e zenon_H249 zenon_H24c zenon_Hd1 zenon_Hb8 zenon_Hcf zenon_Hdb zenon_He7 zenon_Heb zenon_H10f zenon_H11a zenon_Hf9 zenon_H11d zenon_H107 zenon_H101 zenon_H121 zenon_H132 zenon_H135 zenon_H222 zenon_H194 zenon_H189 zenon_H188 zenon_H182 zenon_H16a zenon_H177 zenon_H17d zenon_H191 zenon_H14 zenon_H18d zenon_H171 zenon_H1c2 zenon_H164 zenon_H1a8 zenon_H14e zenon_H1ca zenon_H19e zenon_H1a0 zenon_H15e zenon_H14d zenon_H154 zenon_H15b zenon_H1b3 zenon_H1b6 zenon_H1bd. % 23.65/23.83 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H15d | zenon_intro zenon_H1b9 ]. % 23.65/23.83 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H193 | zenon_intro zenon_H193 ]. % 23.65/23.83 apply (zenon_L340_); trivial. % 23.65/23.83 apply (zenon_L340_); trivial. % 23.65/23.83 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H193 | zenon_intro zenon_H193 ]. % 23.65/23.83 apply (zenon_L341_); trivial. % 23.65/23.83 apply (zenon_L341_); trivial. % 23.65/23.83 (* end of lemma zenon_L342_ *) % 23.65/23.83 assert (zenon_L343_ : (~((h4 (op1 (e13) (e13))) = (op2 (h4 (e13)) (h4 (e13))))) -> ((h4 (e10)) = (op2 (e23) (e23))) -> ((e10) = (op1 (e13) (e13))) -> ((h4 (e13)) = (e23)) -> False). % 23.65/23.83 do 0 intro. intros zenon_H33f zenon_H3b zenon_H28 zenon_H26d. % 23.65/23.83 cut (((h4 (e10)) = (op2 (e23) (e23))) = ((h4 (op1 (e13) (e13))) = (op2 (h4 (e13)) (h4 (e13))))). % 23.65/23.83 intro zenon_D_pnotp. % 23.65/23.83 apply zenon_H33f. % 23.65/23.83 rewrite <- zenon_D_pnotp. % 23.65/23.83 exact zenon_H3b. % 23.65/23.83 cut (((op2 (e23) (e23)) = (op2 (h4 (e13)) (h4 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H340]. % 23.65/23.83 cut (((h4 (e10)) = (h4 (op1 (e13) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H341]. % 23.65/23.83 congruence. % 23.65/23.83 elim (classic ((h4 (op1 (e13) (e13))) = (h4 (op1 (e13) (e13))))); [ zenon_intro zenon_H342 | zenon_intro zenon_H343 ]. % 23.65/23.83 cut (((h4 (op1 (e13) (e13))) = (h4 (op1 (e13) (e13)))) = ((h4 (e10)) = (h4 (op1 (e13) (e13))))). % 23.65/23.83 intro zenon_D_pnotp. % 23.65/23.83 apply zenon_H341. % 23.65/23.83 rewrite <- zenon_D_pnotp. % 23.65/23.83 exact zenon_H342. % 23.65/23.83 cut (((h4 (op1 (e13) (e13))) = (h4 (op1 (e13) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H343]. % 23.65/23.83 cut (((h4 (op1 (e13) (e13))) = (h4 (e10)))); [idtac | apply NNPP; zenon_intro zenon_H344]. % 23.65/23.83 congruence. % 23.65/23.83 cut (((op1 (e13) (e13)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H2a]. % 23.65/23.83 congruence. % 23.65/23.83 apply zenon_H2a. apply sym_equal. exact zenon_H28. % 23.65/23.83 apply zenon_H343. apply refl_equal. % 23.65/23.83 apply zenon_H343. apply refl_equal. % 23.65/23.83 cut (((e23) = (h4 (e13)))); [idtac | apply NNPP; zenon_intro zenon_H297]. % 23.65/23.83 cut (((e23) = (h4 (e13)))); [idtac | apply NNPP; zenon_intro zenon_H297]. % 23.65/23.83 congruence. % 23.65/23.83 apply zenon_H297. apply sym_equal. exact zenon_H26d. % 23.65/23.83 apply zenon_H297. apply sym_equal. exact zenon_H26d. % 23.65/23.83 (* end of lemma zenon_L343_ *) % 23.65/23.83 assert (zenon_L344_ : (~(((h4 (e10)) = (e23))\/(((h4 (e11)) = (e23))\/(((h4 (e12)) = (e23))\/((h4 (e13)) = (e23)))))) -> ((h4 (e13)) = (e23)) -> False). % 23.65/23.83 do 0 intro. intros zenon_H345 zenon_H26d. % 23.65/23.83 apply (zenon_notor_s _ _ zenon_H345). zenon_intro zenon_H347. zenon_intro zenon_H346. % 23.65/23.83 apply (zenon_notor_s _ _ zenon_H346). zenon_intro zenon_H349. zenon_intro zenon_H348. % 23.65/23.83 apply (zenon_notor_s _ _ zenon_H348). zenon_intro zenon_H34a. zenon_intro zenon_H2c9. % 23.65/23.83 exact (zenon_H2c9 zenon_H26d). % 23.65/23.83 (* end of lemma zenon_L344_ *) % 23.65/23.83 apply NNPP. intro zenon_G. % 23.65/23.83 apply (zenon_and_s _ _ ax1). zenon_intro zenon_H5c. zenon_intro zenon_H34b. % 23.65/23.83 apply (zenon_and_s _ _ zenon_H34b). zenon_intro zenon_H34d. zenon_intro zenon_H34c. % 23.65/23.83 apply (zenon_and_s _ _ zenon_H34c). zenon_intro zenon_H27b. zenon_intro zenon_H34e. % 23.65/23.83 apply (zenon_and_s _ _ zenon_H34e). zenon_intro zenon_H350. zenon_intro zenon_H34f. % 23.65/23.83 apply (zenon_and_s _ _ zenon_H34f). zenon_intro zenon_H352. zenon_intro zenon_H351. % 23.65/23.83 apply (zenon_and_s _ _ zenon_H351). zenon_intro zenon_H354. zenon_intro zenon_H353. % 23.65/23.83 apply (zenon_and_s _ _ zenon_H353). zenon_intro zenon_H356. zenon_intro zenon_H355. % 23.65/23.83 apply (zenon_and_s _ _ zenon_H355). zenon_intro zenon_He7. zenon_intro zenon_H357. % 23.65/23.83 apply (zenon_and_s _ _ zenon_H357). zenon_intro zenon_H359. zenon_intro zenon_H358. % 23.65/23.83 apply (zenon_and_s _ _ zenon_H358). zenon_intro zenon_H2f7. zenon_intro zenon_H35a. % 23.65/23.83 apply (zenon_and_s _ _ zenon_H35a). zenon_intro zenon_Hc0. zenon_intro zenon_H35b. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H35b). zenon_intro zenon_H35d. zenon_intro zenon_H35c. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H35c). zenon_intro zenon_H35f. zenon_intro zenon_H35e. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H35e). zenon_intro zenon_H361. zenon_intro zenon_H360. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H360). zenon_intro zenon_H242. zenon_intro zenon_H362. % 23.65/23.84 apply (zenon_and_s _ _ ax2). zenon_intro zenon_H364. zenon_intro zenon_H363. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H363). zenon_intro zenon_H366. zenon_intro zenon_H365. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H365). zenon_intro zenon_H11d. zenon_intro zenon_H367. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H367). zenon_intro zenon_H369. zenon_intro zenon_H368. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H368). zenon_intro zenon_H36b. zenon_intro zenon_H36a. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H36a). zenon_intro zenon_H36d. zenon_intro zenon_H36c. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H36c). zenon_intro zenon_H36f. zenon_intro zenon_H36e. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H36e). zenon_intro zenon_H371. zenon_intro zenon_H370. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H370). zenon_intro zenon_H8f. zenon_intro zenon_H372. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H372). zenon_intro zenon_H374. zenon_intro zenon_H373. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H373). zenon_intro zenon_H95. zenon_intro zenon_H375. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H375). zenon_intro zenon_H377. zenon_intro zenon_H376. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H376). zenon_intro zenon_H7b. zenon_intro zenon_H378. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H378). zenon_intro zenon_Hfe. zenon_intro zenon_H379. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H379). zenon_intro zenon_H37b. zenon_intro zenon_H37a. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H37a). zenon_intro zenon_H37d. zenon_intro zenon_H37c. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H37c). zenon_intro zenon_H37f. zenon_intro zenon_H37e. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H37e). zenon_intro zenon_H11a. zenon_intro zenon_H380. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H380). zenon_intro zenon_H382. zenon_intro zenon_H381. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H381). zenon_intro zenon_H281. zenon_intro zenon_H383. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H383). zenon_intro zenon_H385. zenon_intro zenon_H384. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H384). zenon_intro zenon_H387. zenon_intro zenon_H386. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H386). zenon_intro zenon_H389. zenon_intro zenon_H388. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H388). zenon_intro zenon_H38b. zenon_intro zenon_H38a. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H38a). zenon_intro zenon_H38d. zenon_intro zenon_H38c. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H38c). zenon_intro zenon_H38f. zenon_intro zenon_H38e. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H38e). zenon_intro zenon_H391. zenon_intro zenon_H390. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H390). zenon_intro zenon_H318. zenon_intro zenon_H392. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H392). zenon_intro zenon_H394. zenon_intro zenon_H393. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H393). zenon_intro zenon_Hb1. zenon_intro zenon_H395. % 23.65/23.84 apply (zenon_and_s _ _ ax3). zenon_intro zenon_H15e. zenon_intro zenon_H396. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H396). zenon_intro zenon_H398. zenon_intro zenon_H397. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H397). zenon_intro zenon_H284. zenon_intro zenon_H399. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H399). zenon_intro zenon_H39b. zenon_intro zenon_H39a. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H39a). zenon_intro zenon_H39d. zenon_intro zenon_H39c. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H39c). zenon_intro zenon_H39f. zenon_intro zenon_H39e. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H39e). zenon_intro zenon_H3a1. zenon_intro zenon_H3a0. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H3a0). zenon_intro zenon_H1e9. zenon_intro zenon_H3a2. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H3a2). zenon_intro zenon_H3a4. zenon_intro zenon_H3a3. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H3a3). zenon_intro zenon_H2fa. zenon_intro zenon_H3a5. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H3a5). zenon_intro zenon_H1c2. zenon_intro zenon_H3a6. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H3a6). zenon_intro zenon_H3a8. zenon_intro zenon_H3a7. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H3a7). zenon_intro zenon_H3aa. zenon_intro zenon_H3a9. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H3a9). zenon_intro zenon_H3ac. zenon_intro zenon_H3ab. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H3ab). zenon_intro zenon_H24c. zenon_intro zenon_H3ad. % 23.65/23.84 apply (zenon_and_s _ _ ax4). zenon_intro zenon_H3af. zenon_intro zenon_H3ae. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H3ae). zenon_intro zenon_H3b1. zenon_intro zenon_H3b0. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H3b0). zenon_intro zenon_H21f. zenon_intro zenon_H3b2. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H3b2). zenon_intro zenon_H3b4. zenon_intro zenon_H3b3. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H3b3). zenon_intro zenon_H3b6. zenon_intro zenon_H3b5. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H3b5). zenon_intro zenon_H3b8. zenon_intro zenon_H3b7. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H3b7). zenon_intro zenon_H3ba. zenon_intro zenon_H3b9. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H3b9). zenon_intro zenon_H3bc. zenon_intro zenon_H3bb. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H3bb). zenon_intro zenon_H191. zenon_intro zenon_H3bd. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H3bd). zenon_intro zenon_H3bf. zenon_intro zenon_H3be. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H3be). zenon_intro zenon_H194. zenon_intro zenon_H3c0. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H3c0). zenon_intro zenon_H3c2. zenon_intro zenon_H3c1. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H3c1). zenon_intro zenon_H17d. zenon_intro zenon_H3c3. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H3c3). zenon_intro zenon_H200. zenon_intro zenon_H3c4. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H3c4). zenon_intro zenon_H3c6. zenon_intro zenon_H3c5. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H3c5). zenon_intro zenon_H3c8. zenon_intro zenon_H3c7. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H3c7). zenon_intro zenon_H30c. zenon_intro zenon_H3c9. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H3c9). zenon_intro zenon_H21c. zenon_intro zenon_H3ca. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H3ca). zenon_intro zenon_H3cc. zenon_intro zenon_H3cb. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H3cb). zenon_intro zenon_H288. zenon_intro zenon_H3cd. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H3cd). zenon_intro zenon_H3cf. zenon_intro zenon_H3ce. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H3ce). zenon_intro zenon_H3d1. zenon_intro zenon_H3d0. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H3d0). zenon_intro zenon_H3d3. zenon_intro zenon_H3d2. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H3d2). zenon_intro zenon_H3d5. zenon_intro zenon_H3d4. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H3d4). zenon_intro zenon_H3d7. zenon_intro zenon_H3d6. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H3d6). zenon_intro zenon_H3d9. zenon_intro zenon_H3d8. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H3d8). zenon_intro zenon_H3db. zenon_intro zenon_H3da. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H3da). zenon_intro zenon_H3dd. zenon_intro zenon_H3dc. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H3dc). zenon_intro zenon_H3df. zenon_intro zenon_H3de. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H3de). zenon_intro zenon_H1b3. zenon_intro zenon_H3e0. % 23.65/23.84 apply (zenon_and_s _ _ ax5). zenon_intro zenon_H62. zenon_intro zenon_H3e1. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H3e1). zenon_intro zenon_H3e3. zenon_intro zenon_H3e2. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H3e2). zenon_intro zenon_H3e5. zenon_intro zenon_H3e4. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H3e4). zenon_intro zenon_H3e7. zenon_intro zenon_H3e6. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H3e6). zenon_intro zenon_H3e9. zenon_intro zenon_H3e8. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H3e8). zenon_intro zenon_H3eb. zenon_intro zenon_H3ea. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H3ea). zenon_intro zenon_H3ed. zenon_intro zenon_H3ec. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H3ec). zenon_intro zenon_H3ef. zenon_intro zenon_H3ee. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H3ee). zenon_intro zenon_H101. zenon_intro zenon_H3f0. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H3f0). zenon_intro zenon_H2e5. zenon_intro zenon_H3f1. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H3f1). zenon_intro zenon_H121. zenon_intro zenon_H3f2. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H3f2). zenon_intro zenon_H3f4. zenon_intro zenon_H3f3. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H3f3). zenon_intro zenon_H107. zenon_intro zenon_H3f5. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H3f5). zenon_intro zenon_H3f7. zenon_intro zenon_H3f6. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H3f6). zenon_intro zenon_H23b. zenon_intro zenon_H3f8. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H3f8). zenon_intro zenon_H6f. zenon_intro zenon_H3f9. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H3f9). zenon_intro zenon_H3fb. zenon_intro zenon_H3fa. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H3fa). zenon_intro zenon_H12c. zenon_intro zenon_H3fc. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H3fc). zenon_intro zenon_H75. zenon_intro zenon_H3fd. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H3fd). zenon_intro zenon_Ha6. zenon_intro zenon_H3fe. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H3fe). zenon_intro zenon_H53. zenon_intro zenon_H3ff. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H3ff). zenon_intro zenon_H86. zenon_intro zenon_H400. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H400). zenon_intro zenon_H8b. zenon_intro zenon_H401. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H401). zenon_intro zenon_H403. zenon_intro zenon_H402. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H402). zenon_intro zenon_H405. zenon_intro zenon_H404. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H404). zenon_intro zenon_H264. zenon_intro zenon_H406. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H406). zenon_intro zenon_H4c. zenon_intro zenon_H407. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H407). zenon_intro zenon_H10f. zenon_intro zenon_H408. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H408). zenon_intro zenon_Hf3. zenon_intro zenon_H409. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H409). zenon_intro zenon_H40b. zenon_intro zenon_H40a. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H40a). zenon_intro zenon_H40d. zenon_intro zenon_H40c. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H40c). zenon_intro zenon_H9a. zenon_intro zenon_H40e. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H40e). zenon_intro zenon_H410. zenon_intro zenon_H40f. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H40f). zenon_intro zenon_H132. zenon_intro zenon_H411. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H411). zenon_intro zenon_H413. zenon_intro zenon_H412. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H412). zenon_intro zenon_H415. zenon_intro zenon_H414. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H414). zenon_intro zenon_Hc9. zenon_intro zenon_H416. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H416). zenon_intro zenon_Hcf. zenon_intro zenon_H417. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H417). zenon_intro zenon_H419. zenon_intro zenon_H418. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H418). zenon_intro zenon_Hf9. zenon_intro zenon_H41a. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H41a). zenon_intro zenon_Hdb. zenon_intro zenon_H41b. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H41b). zenon_intro zenon_Hbc. zenon_intro zenon_H41c. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H41c). zenon_intro zenon_H41e. zenon_intro zenon_H41d. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H41d). zenon_intro zenon_H23f. zenon_intro zenon_H41f. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H41f). zenon_intro zenon_Heb. zenon_intro zenon_H420. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H420). zenon_intro zenon_H12f. zenon_intro zenon_H421. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H421). zenon_intro zenon_H422. zenon_intro zenon_H112. % 23.65/23.84 apply (zenon_and_s _ _ ax6). zenon_intro zenon_H164. zenon_intro zenon_H423. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H423). zenon_intro zenon_H425. zenon_intro zenon_H424. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H424). zenon_intro zenon_H427. zenon_intro zenon_H426. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H426). zenon_intro zenon_H429. zenon_intro zenon_H428. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H428). zenon_intro zenon_H42b. zenon_intro zenon_H42a. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H42a). zenon_intro zenon_H42d. zenon_intro zenon_H42c. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H42c). zenon_intro zenon_H42f. zenon_intro zenon_H42e. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H42e). zenon_intro zenon_H431. zenon_intro zenon_H430. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H430). zenon_intro zenon_H203. zenon_intro zenon_H432. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H432). zenon_intro zenon_H2db. zenon_intro zenon_H433. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H433). zenon_intro zenon_H223. zenon_intro zenon_H434. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H434). zenon_intro zenon_H436. zenon_intro zenon_H435. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H435). zenon_intro zenon_H209. zenon_intro zenon_H437. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H437). zenon_intro zenon_H439. zenon_intro zenon_H438. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H438). zenon_intro zenon_H245. zenon_intro zenon_H43a. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H43a). zenon_intro zenon_H171. zenon_intro zenon_H43b. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H43b). zenon_intro zenon_H43d. zenon_intro zenon_H43c. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H43c). zenon_intro zenon_H22e. zenon_intro zenon_H43e. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H43e). zenon_intro zenon_H177. zenon_intro zenon_H43f. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H43f). zenon_intro zenon_H1a8. zenon_intro zenon_H440. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H440). zenon_intro zenon_H154. zenon_intro zenon_H441. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H441). zenon_intro zenon_H188. zenon_intro zenon_H442. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H442). zenon_intro zenon_H18d. zenon_intro zenon_H443. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H443). zenon_intro zenon_H308. zenon_intro zenon_H444. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H444). zenon_intro zenon_H446. zenon_intro zenon_H445. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H445). zenon_intro zenon_H25c. zenon_intro zenon_H447. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H447). zenon_intro zenon_H14d. zenon_intro zenon_H448. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H448). zenon_intro zenon_H211. zenon_intro zenon_H449. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H449). zenon_intro zenon_H1f5. zenon_intro zenon_H44a. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H44a). zenon_intro zenon_H44c. zenon_intro zenon_H44b. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H44b). zenon_intro zenon_H44e. zenon_intro zenon_H44d. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H44d). zenon_intro zenon_H19b. zenon_intro zenon_H44f. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H44f). zenon_intro zenon_H451. zenon_intro zenon_H450. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H450). zenon_intro zenon_H234. zenon_intro zenon_H452. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H452). zenon_intro zenon_H454. zenon_intro zenon_H453. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H453). zenon_intro zenon_H456. zenon_intro zenon_H455. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H455). zenon_intro zenon_H1cf. zenon_intro zenon_H457. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H457). zenon_intro zenon_H1cb. zenon_intro zenon_H458. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H458). zenon_intro zenon_H45a. zenon_intro zenon_H459. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H459). zenon_intro zenon_H1fb. zenon_intro zenon_H45b. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H45b). zenon_intro zenon_H1dd. zenon_intro zenon_H45c. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H45c). zenon_intro zenon_H1be. zenon_intro zenon_H45d. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H45d). zenon_intro zenon_H45f. zenon_intro zenon_H45e. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H45e). zenon_intro zenon_H249. zenon_intro zenon_H460. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H460). zenon_intro zenon_H1ed. zenon_intro zenon_H461. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H461). zenon_intro zenon_H231. zenon_intro zenon_H462. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H462). zenon_intro zenon_H463. zenon_intro zenon_H214. % 23.65/23.84 apply (zenon_and_s _ _ ax7). zenon_intro zenon_H80. zenon_intro zenon_H464. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H464). zenon_intro zenon_H466. zenon_intro zenon_H465. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H465). zenon_intro zenon_H468. zenon_intro zenon_H467. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H467). zenon_intro zenon_H68. zenon_intro zenon_H469. % 23.65/23.84 apply (zenon_and_s _ _ ax8). zenon_intro zenon_H182. zenon_intro zenon_H46a. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H46a). zenon_intro zenon_H46c. zenon_intro zenon_H46b. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H46b). zenon_intro zenon_H46e. zenon_intro zenon_H46d. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H46d). zenon_intro zenon_H16a. zenon_intro zenon_H46f. % 23.65/23.84 apply (zenon_and_s _ _ ax10). zenon_intro zenon_H135. zenon_intro zenon_H470. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H470). zenon_intro zenon_Hb4. zenon_intro zenon_H471. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H471). zenon_intro zenon_H9e. zenon_intro zenon_H472. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H472). zenon_intro zenon_Hb8. zenon_intro zenon_H473. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H473). zenon_intro zenon_H475. zenon_intro zenon_H474. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H474). zenon_intro zenon_H5a. zenon_intro zenon_H476. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H476). zenon_intro zenon_H9d. zenon_intro zenon_H477. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H477). zenon_intro zenon_H479. zenon_intro zenon_H478. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H478). zenon_intro zenon_H94. zenon_intro zenon_H47a. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H47a). zenon_intro zenon_H47c. zenon_intro zenon_H47b. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H47b). zenon_intro zenon_Hce. zenon_intro zenon_H47d. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H47d). zenon_intro zenon_Hd1. zenon_intro zenon_H47e. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H47e). zenon_intro zenon_H120. zenon_intro zenon_H47f. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H47f). zenon_intro zenon_Hc8. zenon_intro zenon_H480. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H480). zenon_intro zenon_H27. zenon_intro zenon_H481. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H481). zenon_intro zenon_H31d. zenon_intro zenon_H482. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H482). zenon_intro zenon_H287. zenon_intro zenon_H483. % 23.65/23.84 apply (zenon_and_s _ _ ax11). zenon_intro zenon_H485. zenon_intro zenon_H484. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H484). zenon_intro zenon_H1b6. zenon_intro zenon_H486. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H486). zenon_intro zenon_H1a0. zenon_intro zenon_H487. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H487). zenon_intro zenon_H1ba. zenon_intro zenon_H488. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H488). zenon_intro zenon_H48a. zenon_intro zenon_H489. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H489). zenon_intro zenon_H15b. zenon_intro zenon_H48b. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H48b). zenon_intro zenon_H19f. zenon_intro zenon_H48c. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H48c). zenon_intro zenon_H48e. zenon_intro zenon_H48d. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H48d). zenon_intro zenon_H19e. zenon_intro zenon_H48f. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H48f). zenon_intro zenon_H491. zenon_intro zenon_H490. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H490). zenon_intro zenon_H1d3. zenon_intro zenon_H492. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H492). zenon_intro zenon_H1d4. zenon_intro zenon_H493. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H493). zenon_intro zenon_H222. zenon_intro zenon_H494. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H494). zenon_intro zenon_H1ca. zenon_intro zenon_H495. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H495). zenon_intro zenon_H13. zenon_intro zenon_H496. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H496). zenon_intro zenon_H498. zenon_intro zenon_H497. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H497). zenon_intro zenon_H28d. zenon_intro zenon_H499. % 23.65/23.84 apply (zenon_and_s _ _ ax12). zenon_intro zenon_H28. zenon_intro zenon_H49a. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H49a). zenon_intro zenon_H87. zenon_intro zenon_H4d. % 23.65/23.84 apply (zenon_and_s _ _ ax13). zenon_intro zenon_H14. zenon_intro zenon_H49b. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H49b). zenon_intro zenon_H189. zenon_intro zenon_H14e. % 23.65/23.84 apply (zenon_and_s _ _ ax17). zenon_intro zenon_H26d. zenon_intro zenon_H49c. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H49c). zenon_intro zenon_H3b. zenon_intro zenon_H49d. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H49d). zenon_intro zenon_H238. zenon_intro zenon_H26a. % 23.65/23.84 apply (zenon_notor_s _ _ zenon_G). zenon_intro zenon_H49f. zenon_intro zenon_H49e. % 23.65/23.84 apply (zenon_notor_s _ _ zenon_H49e). zenon_intro zenon_H4a1. zenon_intro zenon_H4a0. % 23.65/23.84 apply (zenon_notor_s _ _ zenon_H4a0). zenon_intro zenon_H4a3. zenon_intro zenon_H4a2. % 23.65/23.84 apply (zenon_notand_s _ _ zenon_H4a2); [ zenon_intro zenon_H3d | zenon_intro zenon_H4a4 ]. % 23.65/23.84 apply (zenon_or_s _ _ zenon_H485); [ zenon_intro zenon_H18 | zenon_intro zenon_H4a5 ]. % 23.65/23.84 apply (zenon_L2_); trivial. % 23.65/23.84 apply (zenon_or_s _ _ zenon_H4a5); [ zenon_intro zenon_H20 | zenon_intro zenon_H4a6 ]. % 23.65/23.84 apply (zenon_L3_); trivial. % 23.65/23.84 apply (zenon_or_s _ _ zenon_H4a6); [ zenon_intro zenon_H22 | zenon_intro zenon_H4a7 ]. % 23.65/23.84 apply (zenon_L4_); trivial. % 23.65/23.84 apply (zenon_or_s _ _ zenon_H4a7); [ zenon_intro zenon_H24 | zenon_intro zenon_H4a8 ]. % 23.65/23.84 apply (zenon_L5_); trivial. % 23.65/23.84 apply (zenon_or_s _ _ zenon_H4a8); [ zenon_intro zenon_H4aa | zenon_intro zenon_H4a9 ]. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H4aa). zenon_intro zenon_H165. zenon_intro zenon_H4ab. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H4ab). zenon_intro zenon_H1bc. zenon_intro zenon_H4ac. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H4ac). zenon_intro zenon_H1bd. zenon_intro zenon_H4ad. % 23.65/23.84 apply (zenon_L122_); trivial. % 23.65/23.84 apply (zenon_or_s _ _ zenon_H4a9); [ zenon_intro zenon_H4af | zenon_intro zenon_H4ae ]. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H4af). zenon_intro zenon_H19a. zenon_intro zenon_H4ab. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H4ab). zenon_intro zenon_H1bc. zenon_intro zenon_H4ac. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H4ac). zenon_intro zenon_H1bd. zenon_intro zenon_H4ad. % 23.65/23.84 apply (zenon_L122_); trivial. % 23.65/23.84 apply (zenon_or_s _ _ zenon_H4ae); [ zenon_intro zenon_H4b1 | zenon_intro zenon_H4b0 ]. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H4b1). zenon_intro zenon_H170. zenon_intro zenon_H4ab. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H4ab). zenon_intro zenon_H1bc. zenon_intro zenon_H4ac. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H4ac). zenon_intro zenon_H1bd. zenon_intro zenon_H4ad. % 23.65/23.84 apply (zenon_L122_); trivial. % 23.65/23.84 apply (zenon_or_s _ _ zenon_H4b0); [ zenon_intro zenon_H4b3 | zenon_intro zenon_H4b2 ]. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H4b3). zenon_intro zenon_H1e6. zenon_intro zenon_H4ab. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H4ab). zenon_intro zenon_H1bc. zenon_intro zenon_H4ac. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H4ac). zenon_intro zenon_H1bd. zenon_intro zenon_H4ad. % 23.65/23.84 apply (zenon_L122_); trivial. % 23.65/23.84 apply (zenon_or_s _ _ zenon_H4b2); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H4b4 ]. % 23.65/23.84 apply (zenon_L129_); trivial. % 23.65/23.84 apply (zenon_or_s _ _ zenon_H4b4); [ zenon_intro zenon_H1e3 | zenon_intro zenon_H4b5 ]. % 23.65/23.84 apply (zenon_L131_); trivial. % 23.65/23.84 apply (zenon_or_s _ _ zenon_H4b5); [ zenon_intro zenon_H1e4 | zenon_intro zenon_H4b6 ]. % 23.65/23.84 apply (zenon_L132_); trivial. % 23.65/23.84 apply (zenon_or_s _ _ zenon_H4b6); [ zenon_intro zenon_H1ec | zenon_intro zenon_H4b7 ]. % 23.65/23.84 apply (zenon_L135_); trivial. % 23.65/23.84 apply (zenon_or_s _ _ zenon_H4b7); [ zenon_intro zenon_H1f3 | zenon_intro zenon_H4b8 ]. % 23.65/23.84 apply (zenon_L137_); trivial. % 23.65/23.84 apply (zenon_or_s _ _ zenon_H4b8); [ zenon_intro zenon_H226 | zenon_intro zenon_H4b9 ]. % 23.65/23.84 apply (zenon_L160_); trivial. % 23.65/23.84 apply (zenon_or_s _ _ zenon_H4b9); [ zenon_intro zenon_H235 | zenon_intro zenon_H236 ]. % 23.65/23.84 apply (zenon_L173_); trivial. % 23.65/23.84 apply (zenon_L174_); trivial. % 23.65/23.84 apply (zenon_notand_s _ _ zenon_H4a4); [ zenon_intro zenon_H24f | zenon_intro zenon_H4ba ]. % 23.65/23.84 apply (zenon_or_s _ _ zenon_H485); [ zenon_intro zenon_H18 | zenon_intro zenon_H4a5 ]. % 23.65/23.84 apply (zenon_L2_); trivial. % 23.65/23.84 apply (zenon_or_s _ _ zenon_H4a5); [ zenon_intro zenon_H20 | zenon_intro zenon_H4a6 ]. % 23.65/23.84 apply (zenon_L3_); trivial. % 23.65/23.84 apply (zenon_or_s _ _ zenon_H4a6); [ zenon_intro zenon_H22 | zenon_intro zenon_H4a7 ]. % 23.65/23.84 apply (zenon_L4_); trivial. % 23.65/23.84 apply (zenon_or_s _ _ zenon_H4a7); [ zenon_intro zenon_H24 | zenon_intro zenon_H4a8 ]. % 23.65/23.84 apply (zenon_L5_); trivial. % 23.65/23.84 apply (zenon_or_s _ _ zenon_H4a8); [ zenon_intro zenon_H4aa | zenon_intro zenon_H4a9 ]. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H4aa). zenon_intro zenon_H165. zenon_intro zenon_H4ab. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H4ab). zenon_intro zenon_H1bc. zenon_intro zenon_H4ac. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H4ac). zenon_intro zenon_H1bd. zenon_intro zenon_H4ad. % 23.65/23.84 apply (zenon_L189_); trivial. % 23.65/23.84 apply (zenon_or_s _ _ zenon_H4a9); [ zenon_intro zenon_H4af | zenon_intro zenon_H4ae ]. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H4af). zenon_intro zenon_H19a. zenon_intro zenon_H4ab. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H4ab). zenon_intro zenon_H1bc. zenon_intro zenon_H4ac. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H4ac). zenon_intro zenon_H1bd. zenon_intro zenon_H4ad. % 23.65/23.84 apply (zenon_L189_); trivial. % 23.65/23.84 apply (zenon_or_s _ _ zenon_H4ae); [ zenon_intro zenon_H4b1 | zenon_intro zenon_H4b0 ]. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H4b1). zenon_intro zenon_H170. zenon_intro zenon_H4ab. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H4ab). zenon_intro zenon_H1bc. zenon_intro zenon_H4ac. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H4ac). zenon_intro zenon_H1bd. zenon_intro zenon_H4ad. % 23.65/23.84 apply (zenon_L189_); trivial. % 23.65/23.84 apply (zenon_or_s _ _ zenon_H4b0); [ zenon_intro zenon_H4b3 | zenon_intro zenon_H4b2 ]. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H4b3). zenon_intro zenon_H1e6. zenon_intro zenon_H4ab. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H4ab). zenon_intro zenon_H1bc. zenon_intro zenon_H4ac. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H4ac). zenon_intro zenon_H1bd. zenon_intro zenon_H4ad. % 23.65/23.84 apply (zenon_L189_); trivial. % 23.65/23.84 apply (zenon_or_s _ _ zenon_H4b2); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H4b4 ]. % 23.65/23.84 apply (zenon_L129_); trivial. % 23.65/23.84 apply (zenon_or_s _ _ zenon_H4b4); [ zenon_intro zenon_H1e3 | zenon_intro zenon_H4b5 ]. % 23.65/23.84 apply (zenon_L131_); trivial. % 23.65/23.84 apply (zenon_or_s _ _ zenon_H4b5); [ zenon_intro zenon_H1e4 | zenon_intro zenon_H4b6 ]. % 23.65/23.84 apply (zenon_L132_); trivial. % 23.65/23.84 apply (zenon_or_s _ _ zenon_H4b6); [ zenon_intro zenon_H1ec | zenon_intro zenon_H4b7 ]. % 23.65/23.84 apply (zenon_L135_); trivial. % 23.65/23.84 apply (zenon_or_s _ _ zenon_H4b7); [ zenon_intro zenon_H1f3 | zenon_intro zenon_H4b8 ]. % 23.65/23.84 apply (zenon_L137_); trivial. % 23.65/23.84 apply (zenon_or_s _ _ zenon_H4b8); [ zenon_intro zenon_H226 | zenon_intro zenon_H4b9 ]. % 23.65/23.84 apply (zenon_L160_); trivial. % 23.65/23.84 apply (zenon_or_s _ _ zenon_H4b9); [ zenon_intro zenon_H235 | zenon_intro zenon_H236 ]. % 23.65/23.84 apply (zenon_L173_); trivial. % 23.65/23.84 apply (zenon_L174_); trivial. % 23.65/23.84 apply (zenon_notand_s _ _ zenon_H4ba); [ zenon_intro zenon_H26c | zenon_intro zenon_H4bb ]. % 23.65/23.84 apply (zenon_or_s _ _ zenon_H485); [ zenon_intro zenon_H18 | zenon_intro zenon_H4a5 ]. % 23.65/23.84 apply (zenon_L2_); trivial. % 23.65/23.84 apply (zenon_or_s _ _ zenon_H4a5); [ zenon_intro zenon_H20 | zenon_intro zenon_H4a6 ]. % 23.65/23.84 apply (zenon_L3_); trivial. % 23.65/23.84 apply (zenon_or_s _ _ zenon_H4a6); [ zenon_intro zenon_H22 | zenon_intro zenon_H4a7 ]. % 23.65/23.84 apply (zenon_L4_); trivial. % 23.65/23.84 apply (zenon_or_s _ _ zenon_H4a7); [ zenon_intro zenon_H24 | zenon_intro zenon_H4a8 ]. % 23.65/23.84 apply (zenon_L5_); trivial. % 23.65/23.84 apply (zenon_or_s _ _ zenon_H4a8); [ zenon_intro zenon_H4aa | zenon_intro zenon_H4a9 ]. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H4aa). zenon_intro zenon_H165. zenon_intro zenon_H4ab. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H4ab). zenon_intro zenon_H1bc. zenon_intro zenon_H4ac. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H4ac). zenon_intro zenon_H1bd. zenon_intro zenon_H4ad. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H4ad). zenon_intro zenon_H290. zenon_intro zenon_H4bc. % 23.65/23.84 apply (zenon_L219_); trivial. % 23.65/23.84 apply (zenon_or_s _ _ zenon_H4a9); [ zenon_intro zenon_H4af | zenon_intro zenon_H4ae ]. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H4af). zenon_intro zenon_H19a. zenon_intro zenon_H4ab. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H4ab). zenon_intro zenon_H1bc. zenon_intro zenon_H4ac. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H4ac). zenon_intro zenon_H1bd. zenon_intro zenon_H4ad. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H4ad). zenon_intro zenon_H290. zenon_intro zenon_H4bc. % 23.65/23.84 apply (zenon_L219_); trivial. % 23.65/23.84 apply (zenon_or_s _ _ zenon_H4ae); [ zenon_intro zenon_H4b1 | zenon_intro zenon_H4b0 ]. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H4b1). zenon_intro zenon_H170. zenon_intro zenon_H4ab. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H4ab). zenon_intro zenon_H1bc. zenon_intro zenon_H4ac. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H4ac). zenon_intro zenon_H1bd. zenon_intro zenon_H4ad. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H4ad). zenon_intro zenon_H290. zenon_intro zenon_H4bc. % 23.65/23.84 apply (zenon_L219_); trivial. % 23.65/23.84 apply (zenon_or_s _ _ zenon_H4b0); [ zenon_intro zenon_H4b3 | zenon_intro zenon_H4b2 ]. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H4b3). zenon_intro zenon_H1e6. zenon_intro zenon_H4ab. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H4ab). zenon_intro zenon_H1bc. zenon_intro zenon_H4ac. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H4ac). zenon_intro zenon_H1bd. zenon_intro zenon_H4ad. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H4ad). zenon_intro zenon_H290. zenon_intro zenon_H4bc. % 23.65/23.84 apply (zenon_L219_); trivial. % 23.65/23.84 apply (zenon_or_s _ _ zenon_H4b2); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H4b4 ]. % 23.65/23.84 apply (zenon_L129_); trivial. % 23.65/23.84 apply (zenon_or_s _ _ zenon_H4b4); [ zenon_intro zenon_H1e3 | zenon_intro zenon_H4b5 ]. % 23.65/23.84 apply (zenon_L131_); trivial. % 23.65/23.84 apply (zenon_or_s _ _ zenon_H4b5); [ zenon_intro zenon_H1e4 | zenon_intro zenon_H4b6 ]. % 23.65/23.84 apply (zenon_L132_); trivial. % 23.65/23.84 apply (zenon_or_s _ _ zenon_H4b6); [ zenon_intro zenon_H1ec | zenon_intro zenon_H4b7 ]. % 23.65/23.84 apply (zenon_L135_); trivial. % 23.65/23.84 apply (zenon_or_s _ _ zenon_H4b7); [ zenon_intro zenon_H1f3 | zenon_intro zenon_H4b8 ]. % 23.65/23.84 apply (zenon_L137_); trivial. % 23.65/23.84 apply (zenon_or_s _ _ zenon_H4b8); [ zenon_intro zenon_H226 | zenon_intro zenon_H4b9 ]. % 23.65/23.84 apply (zenon_L160_); trivial. % 23.65/23.84 apply (zenon_or_s _ _ zenon_H4b9); [ zenon_intro zenon_H235 | zenon_intro zenon_H236 ]. % 23.65/23.84 apply (zenon_L173_); trivial. % 23.65/23.84 apply (zenon_L174_); trivial. % 23.65/23.84 apply (zenon_notand_s _ _ zenon_H4bb); [ zenon_intro zenon_H291 | zenon_intro zenon_H4bd ]. % 23.65/23.84 apply (zenon_or_s _ _ zenon_H27); [ zenon_intro zenon_H2a | zenon_intro zenon_H2b ]. % 23.65/23.84 apply zenon_H2a. apply sym_equal. exact zenon_H28. % 23.65/23.84 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H240 ]. % 23.65/23.84 apply (zenon_or_s _ _ zenon_Hb1); [ zenon_intro zenon_H9f | zenon_intro zenon_Hb2 ]. % 23.65/23.84 apply (zenon_L220_); trivial. % 23.65/23.84 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H74 | zenon_intro zenon_Hb3 ]. % 23.65/23.84 apply (zenon_L22_); trivial. % 23.65/23.84 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_Ha5 | zenon_intro zenon_Hac ]. % 23.65/23.84 apply (zenon_L35_); trivial. % 23.65/23.84 exact (zenon_Hb0 zenon_Hac). % 23.65/23.84 apply (zenon_L177_); trivial. % 23.65/23.84 apply (zenon_notand_s _ _ zenon_H4bd); [ zenon_intro zenon_H299 | zenon_intro zenon_H4be ]. % 23.65/23.84 apply (zenon_or_s _ _ zenon_H485); [ zenon_intro zenon_H18 | zenon_intro zenon_H4a5 ]. % 23.65/23.84 apply (zenon_L2_); trivial. % 23.65/23.84 apply (zenon_or_s _ _ zenon_H4a5); [ zenon_intro zenon_H20 | zenon_intro zenon_H4a6 ]. % 23.65/23.84 apply (zenon_L3_); trivial. % 23.65/23.84 apply (zenon_or_s _ _ zenon_H4a6); [ zenon_intro zenon_H22 | zenon_intro zenon_H4a7 ]. % 23.65/23.84 apply (zenon_L4_); trivial. % 23.65/23.84 apply (zenon_or_s _ _ zenon_H4a7); [ zenon_intro zenon_H24 | zenon_intro zenon_H4a8 ]. % 23.65/23.84 apply (zenon_L5_); trivial. % 23.65/23.84 apply (zenon_or_s _ _ zenon_H4a8); [ zenon_intro zenon_H4aa | zenon_intro zenon_H4a9 ]. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H4aa). zenon_intro zenon_H165. zenon_intro zenon_H4ab. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H4ab). zenon_intro zenon_H1bc. zenon_intro zenon_H4ac. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H4ac). zenon_intro zenon_H1bd. zenon_intro zenon_H4ad. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H4ad). zenon_intro zenon_H290. zenon_intro zenon_H4bc. % 23.65/23.84 apply (zenon_L232_); trivial. % 23.65/23.84 apply (zenon_or_s _ _ zenon_H4a9); [ zenon_intro zenon_H4af | zenon_intro zenon_H4ae ]. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H4af). zenon_intro zenon_H19a. zenon_intro zenon_H4ab. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H4ab). zenon_intro zenon_H1bc. zenon_intro zenon_H4ac. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H4ac). zenon_intro zenon_H1bd. zenon_intro zenon_H4ad. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H4ad). zenon_intro zenon_H290. zenon_intro zenon_H4bc. % 23.65/23.84 apply (zenon_L232_); trivial. % 23.65/23.84 apply (zenon_or_s _ _ zenon_H4ae); [ zenon_intro zenon_H4b1 | zenon_intro zenon_H4b0 ]. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H4b1). zenon_intro zenon_H170. zenon_intro zenon_H4ab. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H4ab). zenon_intro zenon_H1bc. zenon_intro zenon_H4ac. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H4ac). zenon_intro zenon_H1bd. zenon_intro zenon_H4ad. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H4ad). zenon_intro zenon_H290. zenon_intro zenon_H4bc. % 23.65/23.84 apply (zenon_L232_); trivial. % 23.65/23.84 apply (zenon_or_s _ _ zenon_H4b0); [ zenon_intro zenon_H4b3 | zenon_intro zenon_H4b2 ]. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H4b3). zenon_intro zenon_H1e6. zenon_intro zenon_H4ab. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H4ab). zenon_intro zenon_H1bc. zenon_intro zenon_H4ac. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H4ac). zenon_intro zenon_H1bd. zenon_intro zenon_H4ad. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H4ad). zenon_intro zenon_H290. zenon_intro zenon_H4bc. % 23.65/23.84 apply (zenon_L232_); trivial. % 23.65/23.84 apply (zenon_or_s _ _ zenon_H4b2); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H4b4 ]. % 23.65/23.84 apply (zenon_L129_); trivial. % 23.65/23.84 apply (zenon_or_s _ _ zenon_H4b4); [ zenon_intro zenon_H1e3 | zenon_intro zenon_H4b5 ]. % 23.65/23.84 apply (zenon_L131_); trivial. % 23.65/23.84 apply (zenon_or_s _ _ zenon_H4b5); [ zenon_intro zenon_H1e4 | zenon_intro zenon_H4b6 ]. % 23.65/23.84 apply (zenon_L132_); trivial. % 23.65/23.84 apply (zenon_or_s _ _ zenon_H4b6); [ zenon_intro zenon_H1ec | zenon_intro zenon_H4b7 ]. % 23.65/23.84 apply (zenon_L135_); trivial. % 23.65/23.84 apply (zenon_or_s _ _ zenon_H4b7); [ zenon_intro zenon_H1f3 | zenon_intro zenon_H4b8 ]. % 23.65/23.84 apply (zenon_L137_); trivial. % 23.65/23.84 apply (zenon_or_s _ _ zenon_H4b8); [ zenon_intro zenon_H226 | zenon_intro zenon_H4b9 ]. % 23.65/23.84 apply (zenon_L160_); trivial. % 23.65/23.84 apply (zenon_or_s _ _ zenon_H4b9); [ zenon_intro zenon_H235 | zenon_intro zenon_H236 ]. % 23.65/23.84 apply (zenon_L173_); trivial. % 23.65/23.84 apply (zenon_L174_); trivial. % 23.65/23.84 apply (zenon_notand_s _ _ zenon_H4be); [ zenon_intro zenon_H2a5 | zenon_intro zenon_H4bf ]. % 23.65/23.84 apply (zenon_or_s _ _ zenon_H485); [ zenon_intro zenon_H18 | zenon_intro zenon_H4a5 ]. % 23.65/23.84 apply (zenon_L2_); trivial. % 23.65/23.84 apply (zenon_or_s _ _ zenon_H4a5); [ zenon_intro zenon_H20 | zenon_intro zenon_H4a6 ]. % 23.65/23.84 apply (zenon_L3_); trivial. % 23.65/23.84 apply (zenon_or_s _ _ zenon_H4a6); [ zenon_intro zenon_H22 | zenon_intro zenon_H4a7 ]. % 23.65/23.84 apply (zenon_L4_); trivial. % 23.65/23.84 apply (zenon_or_s _ _ zenon_H4a7); [ zenon_intro zenon_H24 | zenon_intro zenon_H4a8 ]. % 23.65/23.84 apply (zenon_L5_); trivial. % 23.65/23.84 apply (zenon_or_s _ _ zenon_H4a8); [ zenon_intro zenon_H4aa | zenon_intro zenon_H4a9 ]. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H4aa). zenon_intro zenon_H165. zenon_intro zenon_H4ab. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H4ab). zenon_intro zenon_H1bc. zenon_intro zenon_H4ac. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H4ac). zenon_intro zenon_H1bd. zenon_intro zenon_H4ad. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H4ad). zenon_intro zenon_H290. zenon_intro zenon_H4bc. % 23.65/23.84 apply (zenon_L246_); trivial. % 23.65/23.84 apply (zenon_or_s _ _ zenon_H4a9); [ zenon_intro zenon_H4af | zenon_intro zenon_H4ae ]. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H4af). zenon_intro zenon_H19a. zenon_intro zenon_H4ab. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H4ab). zenon_intro zenon_H1bc. zenon_intro zenon_H4ac. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H4ac). zenon_intro zenon_H1bd. zenon_intro zenon_H4ad. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H4ad). zenon_intro zenon_H290. zenon_intro zenon_H4bc. % 23.65/23.84 apply (zenon_L246_); trivial. % 23.65/23.84 apply (zenon_or_s _ _ zenon_H4ae); [ zenon_intro zenon_H4b1 | zenon_intro zenon_H4b0 ]. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H4b1). zenon_intro zenon_H170. zenon_intro zenon_H4ab. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H4ab). zenon_intro zenon_H1bc. zenon_intro zenon_H4ac. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H4ac). zenon_intro zenon_H1bd. zenon_intro zenon_H4ad. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H4ad). zenon_intro zenon_H290. zenon_intro zenon_H4bc. % 23.65/23.84 apply (zenon_L246_); trivial. % 23.65/23.84 apply (zenon_or_s _ _ zenon_H4b0); [ zenon_intro zenon_H4b3 | zenon_intro zenon_H4b2 ]. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H4b3). zenon_intro zenon_H1e6. zenon_intro zenon_H4ab. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H4ab). zenon_intro zenon_H1bc. zenon_intro zenon_H4ac. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H4ac). zenon_intro zenon_H1bd. zenon_intro zenon_H4ad. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H4ad). zenon_intro zenon_H290. zenon_intro zenon_H4bc. % 23.65/23.84 apply (zenon_L246_); trivial. % 23.65/23.84 apply (zenon_or_s _ _ zenon_H4b2); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H4b4 ]. % 23.65/23.84 apply (zenon_L129_); trivial. % 23.65/23.84 apply (zenon_or_s _ _ zenon_H4b4); [ zenon_intro zenon_H1e3 | zenon_intro zenon_H4b5 ]. % 23.65/23.84 apply (zenon_L131_); trivial. % 23.65/23.84 apply (zenon_or_s _ _ zenon_H4b5); [ zenon_intro zenon_H1e4 | zenon_intro zenon_H4b6 ]. % 23.65/23.84 apply (zenon_L132_); trivial. % 23.65/23.84 apply (zenon_or_s _ _ zenon_H4b6); [ zenon_intro zenon_H1ec | zenon_intro zenon_H4b7 ]. % 23.65/23.84 apply (zenon_L135_); trivial. % 23.65/23.84 apply (zenon_or_s _ _ zenon_H4b7); [ zenon_intro zenon_H1f3 | zenon_intro zenon_H4b8 ]. % 23.65/23.84 apply (zenon_L137_); trivial. % 23.65/23.84 apply (zenon_or_s _ _ zenon_H4b8); [ zenon_intro zenon_H226 | zenon_intro zenon_H4b9 ]. % 23.65/23.84 apply (zenon_L160_); trivial. % 23.65/23.84 apply (zenon_or_s _ _ zenon_H4b9); [ zenon_intro zenon_H235 | zenon_intro zenon_H236 ]. % 23.65/23.84 apply (zenon_L173_); trivial. % 23.65/23.84 apply (zenon_L174_); trivial. % 23.65/23.84 apply (zenon_notand_s _ _ zenon_H4bf); [ zenon_intro zenon_H2b0 | zenon_intro zenon_H4c0 ]. % 23.65/23.84 apply (zenon_or_s _ _ zenon_H485); [ zenon_intro zenon_H18 | zenon_intro zenon_H4a5 ]. % 23.65/23.84 apply (zenon_L2_); trivial. % 23.65/23.84 apply (zenon_or_s _ _ zenon_H4a5); [ zenon_intro zenon_H20 | zenon_intro zenon_H4a6 ]. % 23.65/23.84 apply (zenon_L3_); trivial. % 23.65/23.84 apply (zenon_or_s _ _ zenon_H4a6); [ zenon_intro zenon_H22 | zenon_intro zenon_H4a7 ]. % 23.65/23.84 apply (zenon_L4_); trivial. % 23.65/23.84 apply (zenon_or_s _ _ zenon_H4a7); [ zenon_intro zenon_H24 | zenon_intro zenon_H4a8 ]. % 23.65/23.84 apply (zenon_L5_); trivial. % 23.65/23.84 apply (zenon_or_s _ _ zenon_H4a8); [ zenon_intro zenon_H4aa | zenon_intro zenon_H4a9 ]. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H4aa). zenon_intro zenon_H165. zenon_intro zenon_H4ab. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H4ab). zenon_intro zenon_H1bc. zenon_intro zenon_H4ac. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H4ac). zenon_intro zenon_H1bd. zenon_intro zenon_H4ad. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H4ad). zenon_intro zenon_H290. zenon_intro zenon_H4bc. % 23.65/23.84 apply (zenon_L258_); trivial. % 23.65/23.84 apply (zenon_or_s _ _ zenon_H4a9); [ zenon_intro zenon_H4af | zenon_intro zenon_H4ae ]. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H4af). zenon_intro zenon_H19a. zenon_intro zenon_H4ab. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H4ab). zenon_intro zenon_H1bc. zenon_intro zenon_H4ac. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H4ac). zenon_intro zenon_H1bd. zenon_intro zenon_H4ad. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H4ad). zenon_intro zenon_H290. zenon_intro zenon_H4bc. % 23.65/23.84 apply (zenon_L258_); trivial. % 23.65/23.84 apply (zenon_or_s _ _ zenon_H4ae); [ zenon_intro zenon_H4b1 | zenon_intro zenon_H4b0 ]. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H4b1). zenon_intro zenon_H170. zenon_intro zenon_H4ab. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H4ab). zenon_intro zenon_H1bc. zenon_intro zenon_H4ac. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H4ac). zenon_intro zenon_H1bd. zenon_intro zenon_H4ad. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H4ad). zenon_intro zenon_H290. zenon_intro zenon_H4bc. % 23.65/23.84 apply (zenon_L258_); trivial. % 23.65/23.84 apply (zenon_or_s _ _ zenon_H4b0); [ zenon_intro zenon_H4b3 | zenon_intro zenon_H4b2 ]. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H4b3). zenon_intro zenon_H1e6. zenon_intro zenon_H4ab. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H4ab). zenon_intro zenon_H1bc. zenon_intro zenon_H4ac. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H4ac). zenon_intro zenon_H1bd. zenon_intro zenon_H4ad. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H4ad). zenon_intro zenon_H290. zenon_intro zenon_H4bc. % 23.65/23.84 apply (zenon_L258_); trivial. % 23.65/23.84 apply (zenon_or_s _ _ zenon_H4b2); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H4b4 ]. % 23.65/23.84 apply (zenon_L129_); trivial. % 23.65/23.84 apply (zenon_or_s _ _ zenon_H4b4); [ zenon_intro zenon_H1e3 | zenon_intro zenon_H4b5 ]. % 23.65/23.84 apply (zenon_L131_); trivial. % 23.65/23.84 apply (zenon_or_s _ _ zenon_H4b5); [ zenon_intro zenon_H1e4 | zenon_intro zenon_H4b6 ]. % 23.65/23.84 apply (zenon_L132_); trivial. % 23.65/23.84 apply (zenon_or_s _ _ zenon_H4b6); [ zenon_intro zenon_H1ec | zenon_intro zenon_H4b7 ]. % 23.65/23.84 apply (zenon_L135_); trivial. % 23.65/23.84 apply (zenon_or_s _ _ zenon_H4b7); [ zenon_intro zenon_H1f3 | zenon_intro zenon_H4b8 ]. % 23.65/23.84 apply (zenon_L137_); trivial. % 23.65/23.84 apply (zenon_or_s _ _ zenon_H4b8); [ zenon_intro zenon_H226 | zenon_intro zenon_H4b9 ]. % 23.65/23.84 apply (zenon_L160_); trivial. % 23.65/23.84 apply (zenon_or_s _ _ zenon_H4b9); [ zenon_intro zenon_H235 | zenon_intro zenon_H236 ]. % 23.65/23.84 apply (zenon_L173_); trivial. % 23.65/23.84 apply (zenon_L174_); trivial. % 23.65/23.84 apply (zenon_notand_s _ _ zenon_H4c0); [ zenon_intro zenon_H2bd | zenon_intro zenon_H4c1 ]. % 23.65/23.84 apply (zenon_or_s _ _ zenon_H1e9); [ zenon_intro zenon_H18e | zenon_intro zenon_H1ea ]. % 23.65/23.84 apply (zenon_L108_); trivial. % 23.65/23.84 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H18a | zenon_intro zenon_H1eb ]. % 23.65/23.84 apply (zenon_L107_); trivial. % 23.65/23.84 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H176 | zenon_intro zenon_H1e6 ]. % 23.65/23.84 apply (zenon_L103_); trivial. % 23.65/23.84 apply (zenon_L260_); trivial. % 23.65/23.84 apply (zenon_notand_s _ _ zenon_H4c1); [ zenon_intro zenon_H2ca | zenon_intro zenon_H4c2 ]. % 23.65/23.84 apply (zenon_or_s _ _ zenon_H485); [ zenon_intro zenon_H18 | zenon_intro zenon_H4a5 ]. % 23.65/23.84 apply (zenon_L2_); trivial. % 23.65/23.84 apply (zenon_or_s _ _ zenon_H4a5); [ zenon_intro zenon_H20 | zenon_intro zenon_H4a6 ]. % 23.65/23.84 apply (zenon_L3_); trivial. % 23.65/23.84 apply (zenon_or_s _ _ zenon_H4a6); [ zenon_intro zenon_H22 | zenon_intro zenon_H4a7 ]. % 23.65/23.84 apply (zenon_L4_); trivial. % 23.65/23.84 apply (zenon_or_s _ _ zenon_H4a7); [ zenon_intro zenon_H24 | zenon_intro zenon_H4a8 ]. % 23.65/23.84 apply (zenon_L5_); trivial. % 23.65/23.84 apply (zenon_or_s _ _ zenon_H4a8); [ zenon_intro zenon_H4aa | zenon_intro zenon_H4a9 ]. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H4aa). zenon_intro zenon_H165. zenon_intro zenon_H4ab. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H4ab). zenon_intro zenon_H1bc. zenon_intro zenon_H4ac. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H4ac). zenon_intro zenon_H1bd. zenon_intro zenon_H4ad. % 23.65/23.84 apply (zenon_L268_); trivial. % 23.65/23.84 apply (zenon_or_s _ _ zenon_H4a9); [ zenon_intro zenon_H4af | zenon_intro zenon_H4ae ]. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H4af). zenon_intro zenon_H19a. zenon_intro zenon_H4ab. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H4ab). zenon_intro zenon_H1bc. zenon_intro zenon_H4ac. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H4ac). zenon_intro zenon_H1bd. zenon_intro zenon_H4ad. % 23.65/23.84 apply (zenon_L268_); trivial. % 23.65/23.84 apply (zenon_or_s _ _ zenon_H4ae); [ zenon_intro zenon_H4b1 | zenon_intro zenon_H4b0 ]. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H4b1). zenon_intro zenon_H170. zenon_intro zenon_H4ab. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H4ab). zenon_intro zenon_H1bc. zenon_intro zenon_H4ac. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H4ac). zenon_intro zenon_H1bd. zenon_intro zenon_H4ad. % 23.65/23.84 apply (zenon_L268_); trivial. % 23.65/23.84 apply (zenon_or_s _ _ zenon_H4b0); [ zenon_intro zenon_H4b3 | zenon_intro zenon_H4b2 ]. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H4b3). zenon_intro zenon_H1e6. zenon_intro zenon_H4ab. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H4ab). zenon_intro zenon_H1bc. zenon_intro zenon_H4ac. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H4ac). zenon_intro zenon_H1bd. zenon_intro zenon_H4ad. % 23.65/23.84 apply (zenon_L268_); trivial. % 23.65/23.84 apply (zenon_or_s _ _ zenon_H4b2); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H4b4 ]. % 23.65/23.84 apply (zenon_L129_); trivial. % 23.65/23.84 apply (zenon_or_s _ _ zenon_H4b4); [ zenon_intro zenon_H1e3 | zenon_intro zenon_H4b5 ]. % 23.65/23.84 apply (zenon_L131_); trivial. % 23.65/23.84 apply (zenon_or_s _ _ zenon_H4b5); [ zenon_intro zenon_H1e4 | zenon_intro zenon_H4b6 ]. % 23.65/23.84 apply (zenon_L132_); trivial. % 23.65/23.84 apply (zenon_or_s _ _ zenon_H4b6); [ zenon_intro zenon_H1ec | zenon_intro zenon_H4b7 ]. % 23.65/23.84 apply (zenon_L135_); trivial. % 23.65/23.84 apply (zenon_or_s _ _ zenon_H4b7); [ zenon_intro zenon_H1f3 | zenon_intro zenon_H4b8 ]. % 23.65/23.84 apply (zenon_L137_); trivial. % 23.65/23.84 apply (zenon_or_s _ _ zenon_H4b8); [ zenon_intro zenon_H226 | zenon_intro zenon_H4b9 ]. % 23.65/23.84 apply (zenon_L160_); trivial. % 23.65/23.84 apply (zenon_or_s _ _ zenon_H4b9); [ zenon_intro zenon_H235 | zenon_intro zenon_H236 ]. % 23.65/23.84 apply (zenon_L173_); trivial. % 23.65/23.84 apply (zenon_L174_); trivial. % 23.65/23.84 apply (zenon_notand_s _ _ zenon_H4c2); [ zenon_intro zenon_H2e9 | zenon_intro zenon_H4c3 ]. % 23.65/23.84 apply (zenon_or_s _ _ zenon_H485); [ zenon_intro zenon_H18 | zenon_intro zenon_H4a5 ]. % 23.65/23.84 apply (zenon_L2_); trivial. % 23.65/23.84 apply (zenon_or_s _ _ zenon_H4a5); [ zenon_intro zenon_H20 | zenon_intro zenon_H4a6 ]. % 23.65/23.84 apply (zenon_L3_); trivial. % 23.65/23.84 apply (zenon_or_s _ _ zenon_H4a6); [ zenon_intro zenon_H22 | zenon_intro zenon_H4a7 ]. % 23.65/23.84 apply (zenon_L4_); trivial. % 23.65/23.84 apply (zenon_or_s _ _ zenon_H4a7); [ zenon_intro zenon_H24 | zenon_intro zenon_H4a8 ]. % 23.65/23.84 apply (zenon_L5_); trivial. % 23.65/23.84 apply (zenon_or_s _ _ zenon_H4a8); [ zenon_intro zenon_H4aa | zenon_intro zenon_H4a9 ]. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H4aa). zenon_intro zenon_H165. zenon_intro zenon_H4ab. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H4ab). zenon_intro zenon_H1bc. zenon_intro zenon_H4ac. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H4ac). zenon_intro zenon_H1bd. zenon_intro zenon_H4ad. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H4ad). zenon_intro zenon_H290. zenon_intro zenon_H4bc. % 23.65/23.84 apply (zenon_L292_); trivial. % 23.65/23.84 apply (zenon_or_s _ _ zenon_H4a9); [ zenon_intro zenon_H4af | zenon_intro zenon_H4ae ]. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H4af). zenon_intro zenon_H19a. zenon_intro zenon_H4ab. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H4ab). zenon_intro zenon_H1bc. zenon_intro zenon_H4ac. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H4ac). zenon_intro zenon_H1bd. zenon_intro zenon_H4ad. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H4ad). zenon_intro zenon_H290. zenon_intro zenon_H4bc. % 23.65/23.84 apply (zenon_L292_); trivial. % 23.65/23.84 apply (zenon_or_s _ _ zenon_H4ae); [ zenon_intro zenon_H4b1 | zenon_intro zenon_H4b0 ]. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H4b1). zenon_intro zenon_H170. zenon_intro zenon_H4ab. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H4ab). zenon_intro zenon_H1bc. zenon_intro zenon_H4ac. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H4ac). zenon_intro zenon_H1bd. zenon_intro zenon_H4ad. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H4ad). zenon_intro zenon_H290. zenon_intro zenon_H4bc. % 23.65/23.84 apply (zenon_L292_); trivial. % 23.65/23.84 apply (zenon_or_s _ _ zenon_H4b0); [ zenon_intro zenon_H4b3 | zenon_intro zenon_H4b2 ]. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H4b3). zenon_intro zenon_H1e6. zenon_intro zenon_H4ab. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H4ab). zenon_intro zenon_H1bc. zenon_intro zenon_H4ac. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H4ac). zenon_intro zenon_H1bd. zenon_intro zenon_H4ad. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H4ad). zenon_intro zenon_H290. zenon_intro zenon_H4bc. % 23.65/23.84 apply (zenon_L292_); trivial. % 23.65/23.84 apply (zenon_or_s _ _ zenon_H4b2); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H4b4 ]. % 23.65/23.84 apply (zenon_L129_); trivial. % 23.65/23.84 apply (zenon_or_s _ _ zenon_H4b4); [ zenon_intro zenon_H1e3 | zenon_intro zenon_H4b5 ]. % 23.65/23.84 apply (zenon_L131_); trivial. % 23.65/23.84 apply (zenon_or_s _ _ zenon_H4b5); [ zenon_intro zenon_H1e4 | zenon_intro zenon_H4b6 ]. % 23.65/23.84 apply (zenon_L132_); trivial. % 23.65/23.84 apply (zenon_or_s _ _ zenon_H4b6); [ zenon_intro zenon_H1ec | zenon_intro zenon_H4b7 ]. % 23.65/23.84 apply (zenon_L135_); trivial. % 23.65/23.84 apply (zenon_or_s _ _ zenon_H4b7); [ zenon_intro zenon_H1f3 | zenon_intro zenon_H4b8 ]. % 23.65/23.84 apply (zenon_L137_); trivial. % 23.65/23.84 apply (zenon_or_s _ _ zenon_H4b8); [ zenon_intro zenon_H226 | zenon_intro zenon_H4b9 ]. % 23.65/23.84 apply (zenon_L160_); trivial. % 23.65/23.84 apply (zenon_or_s _ _ zenon_H4b9); [ zenon_intro zenon_H235 | zenon_intro zenon_H236 ]. % 23.65/23.84 apply (zenon_L173_); trivial. % 23.65/23.84 apply (zenon_L174_); trivial. % 23.65/23.84 apply (zenon_notand_s _ _ zenon_H4c3); [ zenon_intro zenon_H2fd | zenon_intro zenon_H4c4 ]. % 23.65/23.84 apply (zenon_or_s _ _ zenon_H485); [ zenon_intro zenon_H18 | zenon_intro zenon_H4a5 ]. % 23.65/23.84 apply (zenon_L2_); trivial. % 23.65/23.84 apply (zenon_or_s _ _ zenon_H4a5); [ zenon_intro zenon_H20 | zenon_intro zenon_H4a6 ]. % 23.65/23.84 apply (zenon_L3_); trivial. % 23.65/23.84 apply (zenon_or_s _ _ zenon_H4a6); [ zenon_intro zenon_H22 | zenon_intro zenon_H4a7 ]. % 23.65/23.84 apply (zenon_L4_); trivial. % 23.65/23.84 apply (zenon_or_s _ _ zenon_H4a7); [ zenon_intro zenon_H24 | zenon_intro zenon_H4a8 ]. % 23.65/23.84 apply (zenon_L5_); trivial. % 23.65/23.84 apply (zenon_or_s _ _ zenon_H4a8); [ zenon_intro zenon_H4aa | zenon_intro zenon_H4a9 ]. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H4aa). zenon_intro zenon_H165. zenon_intro zenon_H4ab. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H4ab). zenon_intro zenon_H1bc. zenon_intro zenon_H4ac. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H4ac). zenon_intro zenon_H1bd. zenon_intro zenon_H4ad. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H4ad). zenon_intro zenon_H290. zenon_intro zenon_H4bc. % 23.65/23.84 apply (zenon_L306_); trivial. % 23.65/23.84 apply (zenon_or_s _ _ zenon_H4a9); [ zenon_intro zenon_H4af | zenon_intro zenon_H4ae ]. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H4af). zenon_intro zenon_H19a. zenon_intro zenon_H4ab. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H4ab). zenon_intro zenon_H1bc. zenon_intro zenon_H4ac. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H4ac). zenon_intro zenon_H1bd. zenon_intro zenon_H4ad. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H4ad). zenon_intro zenon_H290. zenon_intro zenon_H4bc. % 23.65/23.84 apply (zenon_L306_); trivial. % 23.65/23.84 apply (zenon_or_s _ _ zenon_H4ae); [ zenon_intro zenon_H4b1 | zenon_intro zenon_H4b0 ]. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H4b1). zenon_intro zenon_H170. zenon_intro zenon_H4ab. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H4ab). zenon_intro zenon_H1bc. zenon_intro zenon_H4ac. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H4ac). zenon_intro zenon_H1bd. zenon_intro zenon_H4ad. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H4ad). zenon_intro zenon_H290. zenon_intro zenon_H4bc. % 23.65/23.84 apply (zenon_L306_); trivial. % 23.65/23.84 apply (zenon_or_s _ _ zenon_H4b0); [ zenon_intro zenon_H4b3 | zenon_intro zenon_H4b2 ]. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H4b3). zenon_intro zenon_H1e6. zenon_intro zenon_H4ab. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H4ab). zenon_intro zenon_H1bc. zenon_intro zenon_H4ac. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H4ac). zenon_intro zenon_H1bd. zenon_intro zenon_H4ad. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H4ad). zenon_intro zenon_H290. zenon_intro zenon_H4bc. % 23.65/23.84 apply (zenon_L306_); trivial. % 23.65/23.84 apply (zenon_or_s _ _ zenon_H4b2); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H4b4 ]. % 23.65/23.84 apply (zenon_L129_); trivial. % 23.65/23.84 apply (zenon_or_s _ _ zenon_H4b4); [ zenon_intro zenon_H1e3 | zenon_intro zenon_H4b5 ]. % 23.65/23.84 apply (zenon_L131_); trivial. % 23.65/23.84 apply (zenon_or_s _ _ zenon_H4b5); [ zenon_intro zenon_H1e4 | zenon_intro zenon_H4b6 ]. % 23.65/23.84 apply (zenon_L132_); trivial. % 23.65/23.84 apply (zenon_or_s _ _ zenon_H4b6); [ zenon_intro zenon_H1ec | zenon_intro zenon_H4b7 ]. % 23.65/23.84 apply (zenon_L135_); trivial. % 23.65/23.84 apply (zenon_or_s _ _ zenon_H4b7); [ zenon_intro zenon_H1f3 | zenon_intro zenon_H4b8 ]. % 23.65/23.84 apply (zenon_L137_); trivial. % 23.65/23.84 apply (zenon_or_s _ _ zenon_H4b8); [ zenon_intro zenon_H226 | zenon_intro zenon_H4b9 ]. % 23.65/23.84 apply (zenon_L160_); trivial. % 23.65/23.84 apply (zenon_or_s _ _ zenon_H4b9); [ zenon_intro zenon_H235 | zenon_intro zenon_H236 ]. % 23.65/23.84 apply (zenon_L173_); trivial. % 23.65/23.84 apply (zenon_L174_); trivial. % 23.65/23.84 apply (zenon_notand_s _ _ zenon_H4c4); [ zenon_intro zenon_H30f | zenon_intro zenon_H4c5 ]. % 23.65/23.84 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H2c | zenon_intro zenon_H136 ]. % 23.65/23.84 apply (zenon_L7_); trivial. % 23.65/23.84 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H34 | zenon_intro zenon_H137 ]. % 23.65/23.84 apply (zenon_L8_); trivial. % 23.65/23.84 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H36 | zenon_intro zenon_H138 ]. % 23.65/23.84 apply (zenon_L9_); trivial. % 23.65/23.84 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H38 | zenon_intro zenon_H139 ]. % 23.65/23.84 apply (zenon_L10_); trivial. % 23.65/23.84 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H13b | zenon_intro zenon_H13a ]. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_H63. zenon_intro zenon_H13c. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_Hba. zenon_intro zenon_H13d. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_Hbb. zenon_intro zenon_H13e. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_H28c. zenon_intro zenon_H28e. % 23.65/23.84 apply (zenon_L309_); trivial. % 23.65/23.84 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H140 | zenon_intro zenon_H13f ]. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H99. zenon_intro zenon_H13c. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_Hba. zenon_intro zenon_H13d. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_Hbb. zenon_intro zenon_H13e. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_H28c. zenon_intro zenon_H28e. % 23.65/23.84 apply (zenon_L309_); trivial. % 23.65/23.84 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H142 | zenon_intro zenon_H141 ]. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H142). zenon_intro zenon_H6e. zenon_intro zenon_H13c. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_Hba. zenon_intro zenon_H13d. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_Hbb. zenon_intro zenon_H13e. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_H28c. zenon_intro zenon_H28e. % 23.65/23.84 apply (zenon_L309_); trivial. % 23.65/23.84 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H144 | zenon_intro zenon_H143 ]. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H144). zenon_intro zenon_He4. zenon_intro zenon_H13c. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_Hba. zenon_intro zenon_H13d. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_Hbb. zenon_intro zenon_H13e. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_H28c. zenon_intro zenon_H28e. % 23.65/23.84 apply (zenon_L309_); trivial. % 23.65/23.84 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H145 ]. % 23.65/23.84 apply (zenon_L47_); trivial. % 23.65/23.84 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_He1 | zenon_intro zenon_H146 ]. % 23.65/23.84 apply (zenon_L49_); trivial. % 23.65/23.84 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_He2 | zenon_intro zenon_H147 ]. % 23.65/23.84 apply (zenon_L50_); trivial. % 23.65/23.84 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_Hea | zenon_intro zenon_H148 ]. % 23.65/23.84 apply (zenon_L53_); trivial. % 23.65/23.84 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_Hf1 | zenon_intro zenon_H149 ]. % 23.65/23.84 apply (zenon_L55_); trivial. % 23.65/23.84 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H124 | zenon_intro zenon_H14a ]. % 23.65/23.84 apply (zenon_L78_); trivial. % 23.65/23.84 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_H133 | zenon_intro zenon_H134 ]. % 23.65/23.84 apply (zenon_L91_); trivial. % 23.65/23.84 apply (zenon_L92_); trivial. % 23.65/23.84 apply (zenon_notand_s _ _ zenon_H4c5); [ zenon_intro zenon_H4c7 | zenon_intro zenon_H4c6 ]. % 23.65/23.84 apply (zenon_or_s _ _ zenon_H13); [ zenon_intro zenon_H16 | zenon_intro zenon_H17 ]. % 23.65/23.84 apply zenon_H16. apply sym_equal. exact zenon_H14. % 23.65/23.84 apply (zenon_or_s _ _ zenon_H27); [ zenon_intro zenon_H2a | zenon_intro zenon_H2b ]. % 23.65/23.84 apply zenon_H2a. apply sym_equal. exact zenon_H28. % 23.65/23.84 elim (classic ((op2 (h4 (e13)) (h4 (e10))) = (op2 (h4 (e13)) (h4 (e10))))); [ zenon_intro zenon_H4c8 | zenon_intro zenon_H4c9 ]. % 23.65/23.84 cut (((op2 (h4 (e13)) (h4 (e10))) = (op2 (h4 (e13)) (h4 (e10)))) = ((h4 (op1 (e13) (e10))) = (op2 (h4 (e13)) (h4 (e10))))). % 23.65/23.84 intro zenon_D_pnotp. % 23.65/23.84 apply zenon_H4c7. % 23.65/23.84 rewrite <- zenon_D_pnotp. % 23.65/23.84 exact zenon_H4c8. % 23.65/23.84 cut (((op2 (h4 (e13)) (h4 (e10))) = (op2 (h4 (e13)) (h4 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H4c9]. % 23.65/23.84 cut (((op2 (h4 (e13)) (h4 (e10))) = (h4 (op1 (e13) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H4ca]. % 23.65/23.84 congruence. % 23.65/23.84 cut (((op2 (e23) (e20)) = (e23)) = ((op2 (h4 (e13)) (h4 (e10))) = (h4 (op1 (e13) (e10))))). % 23.65/23.84 intro zenon_D_pnotp. % 23.65/23.84 apply zenon_H4ca. % 23.65/23.84 rewrite <- zenon_D_pnotp. % 23.65/23.84 exact zenon_H17. % 23.65/23.84 cut (((e23) = (h4 (op1 (e13) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H320]. % 23.65/23.84 cut (((op2 (e23) (e20)) = (op2 (h4 (e13)) (h4 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H4cb]. % 23.65/23.84 congruence. % 23.65/23.84 elim (classic ((op2 (h4 (e13)) (h4 (e10))) = (op2 (h4 (e13)) (h4 (e10))))); [ zenon_intro zenon_H4c8 | zenon_intro zenon_H4c9 ]. % 23.65/23.84 cut (((op2 (h4 (e13)) (h4 (e10))) = (op2 (h4 (e13)) (h4 (e10)))) = ((op2 (e23) (e20)) = (op2 (h4 (e13)) (h4 (e10))))). % 23.65/23.84 intro zenon_D_pnotp. % 23.65/23.84 apply zenon_H4cb. % 23.65/23.84 rewrite <- zenon_D_pnotp. % 23.65/23.84 exact zenon_H4c8. % 23.65/23.84 cut (((op2 (h4 (e13)) (h4 (e10))) = (op2 (h4 (e13)) (h4 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H4c9]. % 23.65/23.84 cut (((op2 (h4 (e13)) (h4 (e10))) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H4cc]. % 23.65/23.84 congruence. % 23.65/23.84 cut (((h4 (e10)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H3a]. % 23.65/23.84 cut (((h4 (e13)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H2c9]. % 23.65/23.84 congruence. % 23.65/23.84 exact (zenon_H2c9 zenon_H26d). % 23.65/23.84 apply (zenon_L11_); trivial. % 23.65/23.84 apply zenon_H4c9. apply refl_equal. % 23.65/23.84 apply zenon_H4c9. apply refl_equal. % 23.65/23.84 apply (zenon_L310_); trivial. % 23.65/23.84 apply zenon_H4c9. apply refl_equal. % 23.65/23.84 apply zenon_H4c9. apply refl_equal. % 23.65/23.84 apply (zenon_notand_s _ _ zenon_H4c6); [ zenon_intro zenon_H32c | zenon_intro zenon_H4cd ]. % 23.65/23.84 apply (zenon_or_s _ _ zenon_H485); [ zenon_intro zenon_H18 | zenon_intro zenon_H4a5 ]. % 23.65/23.84 apply (zenon_L2_); trivial. % 23.65/23.84 apply (zenon_or_s _ _ zenon_H4a5); [ zenon_intro zenon_H20 | zenon_intro zenon_H4a6 ]. % 23.65/23.84 apply (zenon_L3_); trivial. % 23.65/23.84 apply (zenon_or_s _ _ zenon_H4a6); [ zenon_intro zenon_H22 | zenon_intro zenon_H4a7 ]. % 23.65/23.84 apply (zenon_L4_); trivial. % 23.65/23.84 apply (zenon_or_s _ _ zenon_H4a7); [ zenon_intro zenon_H24 | zenon_intro zenon_H4a8 ]. % 23.65/23.84 apply (zenon_L5_); trivial. % 23.65/23.84 apply (zenon_or_s _ _ zenon_H4a8); [ zenon_intro zenon_H4aa | zenon_intro zenon_H4a9 ]. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H4aa). zenon_intro zenon_H165. zenon_intro zenon_H4ab. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H4ab). zenon_intro zenon_H1bc. zenon_intro zenon_H4ac. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H4ac). zenon_intro zenon_H1bd. zenon_intro zenon_H4ad. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H4ad). zenon_intro zenon_H290. zenon_intro zenon_H4bc. % 23.65/23.84 apply (zenon_L329_); trivial. % 23.65/23.84 apply (zenon_or_s _ _ zenon_H4a9); [ zenon_intro zenon_H4af | zenon_intro zenon_H4ae ]. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H4af). zenon_intro zenon_H19a. zenon_intro zenon_H4ab. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H4ab). zenon_intro zenon_H1bc. zenon_intro zenon_H4ac. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H4ac). zenon_intro zenon_H1bd. zenon_intro zenon_H4ad. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H4ad). zenon_intro zenon_H290. zenon_intro zenon_H4bc. % 23.65/23.84 apply (zenon_L329_); trivial. % 23.65/23.84 apply (zenon_or_s _ _ zenon_H4ae); [ zenon_intro zenon_H4b1 | zenon_intro zenon_H4b0 ]. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H4b1). zenon_intro zenon_H170. zenon_intro zenon_H4ab. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H4ab). zenon_intro zenon_H1bc. zenon_intro zenon_H4ac. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H4ac). zenon_intro zenon_H1bd. zenon_intro zenon_H4ad. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H4ad). zenon_intro zenon_H290. zenon_intro zenon_H4bc. % 23.65/23.84 apply (zenon_L329_); trivial. % 23.65/23.84 apply (zenon_or_s _ _ zenon_H4b0); [ zenon_intro zenon_H4b3 | zenon_intro zenon_H4b2 ]. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H4b3). zenon_intro zenon_H1e6. zenon_intro zenon_H4ab. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H4ab). zenon_intro zenon_H1bc. zenon_intro zenon_H4ac. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H4ac). zenon_intro zenon_H1bd. zenon_intro zenon_H4ad. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H4ad). zenon_intro zenon_H290. zenon_intro zenon_H4bc. % 23.65/23.84 apply (zenon_L329_); trivial. % 23.65/23.84 apply (zenon_or_s _ _ zenon_H4b2); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H4b4 ]. % 23.65/23.84 apply (zenon_L129_); trivial. % 23.65/23.84 apply (zenon_or_s _ _ zenon_H4b4); [ zenon_intro zenon_H1e3 | zenon_intro zenon_H4b5 ]. % 23.65/23.84 apply (zenon_L131_); trivial. % 23.65/23.84 apply (zenon_or_s _ _ zenon_H4b5); [ zenon_intro zenon_H1e4 | zenon_intro zenon_H4b6 ]. % 23.65/23.84 apply (zenon_L132_); trivial. % 23.65/23.84 apply (zenon_or_s _ _ zenon_H4b6); [ zenon_intro zenon_H1ec | zenon_intro zenon_H4b7 ]. % 23.65/23.84 apply (zenon_L135_); trivial. % 23.65/23.84 apply (zenon_or_s _ _ zenon_H4b7); [ zenon_intro zenon_H1f3 | zenon_intro zenon_H4b8 ]. % 23.65/23.84 apply (zenon_L137_); trivial. % 23.65/23.84 apply (zenon_or_s _ _ zenon_H4b8); [ zenon_intro zenon_H226 | zenon_intro zenon_H4b9 ]. % 23.65/23.84 apply (zenon_L160_); trivial. % 23.65/23.84 apply (zenon_or_s _ _ zenon_H4b9); [ zenon_intro zenon_H235 | zenon_intro zenon_H236 ]. % 23.65/23.84 apply (zenon_L173_); trivial. % 23.65/23.84 apply (zenon_L174_); trivial. % 23.65/23.84 apply (zenon_notand_s _ _ zenon_H4cd); [ zenon_intro zenon_H339 | zenon_intro zenon_H4ce ]. % 23.65/23.84 apply (zenon_or_s _ _ zenon_H485); [ zenon_intro zenon_H18 | zenon_intro zenon_H4a5 ]. % 23.65/23.84 apply (zenon_L2_); trivial. % 23.65/23.84 apply (zenon_or_s _ _ zenon_H4a5); [ zenon_intro zenon_H20 | zenon_intro zenon_H4a6 ]. % 23.65/23.84 apply (zenon_L3_); trivial. % 23.65/23.84 apply (zenon_or_s _ _ zenon_H4a6); [ zenon_intro zenon_H22 | zenon_intro zenon_H4a7 ]. % 23.65/23.84 apply (zenon_L4_); trivial. % 23.65/23.84 apply (zenon_or_s _ _ zenon_H4a7); [ zenon_intro zenon_H24 | zenon_intro zenon_H4a8 ]. % 23.65/23.84 apply (zenon_L5_); trivial. % 23.65/23.84 apply (zenon_or_s _ _ zenon_H4a8); [ zenon_intro zenon_H4aa | zenon_intro zenon_H4a9 ]. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H4aa). zenon_intro zenon_H165. zenon_intro zenon_H4ab. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H4ab). zenon_intro zenon_H1bc. zenon_intro zenon_H4ac. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H4ac). zenon_intro zenon_H1bd. zenon_intro zenon_H4ad. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H4ad). zenon_intro zenon_H290. zenon_intro zenon_H4bc. % 23.65/23.84 apply (zenon_L342_); trivial. % 23.65/23.84 apply (zenon_or_s _ _ zenon_H4a9); [ zenon_intro zenon_H4af | zenon_intro zenon_H4ae ]. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H4af). zenon_intro zenon_H19a. zenon_intro zenon_H4ab. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H4ab). zenon_intro zenon_H1bc. zenon_intro zenon_H4ac. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H4ac). zenon_intro zenon_H1bd. zenon_intro zenon_H4ad. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H4ad). zenon_intro zenon_H290. zenon_intro zenon_H4bc. % 23.65/23.84 apply (zenon_L342_); trivial. % 23.65/23.84 apply (zenon_or_s _ _ zenon_H4ae); [ zenon_intro zenon_H4b1 | zenon_intro zenon_H4b0 ]. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H4b1). zenon_intro zenon_H170. zenon_intro zenon_H4ab. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H4ab). zenon_intro zenon_H1bc. zenon_intro zenon_H4ac. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H4ac). zenon_intro zenon_H1bd. zenon_intro zenon_H4ad. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H4ad). zenon_intro zenon_H290. zenon_intro zenon_H4bc. % 23.65/23.84 apply (zenon_L342_); trivial. % 23.65/23.84 apply (zenon_or_s _ _ zenon_H4b0); [ zenon_intro zenon_H4b3 | zenon_intro zenon_H4b2 ]. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H4b3). zenon_intro zenon_H1e6. zenon_intro zenon_H4ab. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H4ab). zenon_intro zenon_H1bc. zenon_intro zenon_H4ac. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H4ac). zenon_intro zenon_H1bd. zenon_intro zenon_H4ad. % 23.65/23.84 apply (zenon_and_s _ _ zenon_H4ad). zenon_intro zenon_H290. zenon_intro zenon_H4bc. % 23.65/23.84 apply (zenon_L342_); trivial. % 23.65/23.84 apply (zenon_or_s _ _ zenon_H4b2); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H4b4 ]. % 23.65/23.84 apply (zenon_L129_); trivial. % 23.65/23.84 apply (zenon_or_s _ _ zenon_H4b4); [ zenon_intro zenon_H1e3 | zenon_intro zenon_H4b5 ]. % 23.65/23.84 apply (zenon_L131_); trivial. % 23.65/23.84 apply (zenon_or_s _ _ zenon_H4b5); [ zenon_intro zenon_H1e4 | zenon_intro zenon_H4b6 ]. % 23.65/23.84 apply (zenon_L132_); trivial. % 23.65/23.84 apply (zenon_or_s _ _ zenon_H4b6); [ zenon_intro zenon_H1ec | zenon_intro zenon_H4b7 ]. % 23.65/23.84 apply (zenon_L135_); trivial. % 23.65/23.84 apply (zenon_or_s _ _ zenon_H4b7); [ zenon_intro zenon_H1f3 | zenon_intro zenon_H4b8 ]. % 23.65/23.84 apply (zenon_L137_); trivial. % 23.65/23.84 apply (zenon_or_s _ _ zenon_H4b8); [ zenon_intro zenon_H226 | zenon_intro zenon_H4b9 ]. % 23.65/23.84 apply (zenon_L160_); trivial. % 23.65/23.84 apply (zenon_or_s _ _ zenon_H4b9); [ zenon_intro zenon_H235 | zenon_intro zenon_H236 ]. % 23.65/23.84 apply (zenon_L173_); trivial. % 23.65/23.84 apply (zenon_L174_); trivial. % 23.65/23.84 apply (zenon_notand_s _ _ zenon_H4ce); [ zenon_intro zenon_H33f | zenon_intro zenon_H4cf ]. % 23.65/23.84 apply (zenon_L343_); trivial. % 23.65/23.84 apply (zenon_notand_s _ _ zenon_H4cf); [ zenon_intro zenon_H4d1 | zenon_intro zenon_H4d0 ]. % 23.65/23.84 apply (zenon_notor_s _ _ zenon_H4d1). zenon_intro zenon_H3a. zenon_intro zenon_H4d2. % 23.65/23.84 apply (zenon_L11_); trivial. % 23.65/23.84 apply (zenon_notand_s _ _ zenon_H4d0); [ zenon_intro zenon_H4d4 | zenon_intro zenon_H4d3 ]. % 23.65/23.84 apply (zenon_notor_s _ _ zenon_H4d4). zenon_intro zenon_H4d6. zenon_intro zenon_H4d5. % 23.65/23.84 apply (zenon_notor_s _ _ zenon_H4d5). zenon_intro zenon_H237. zenon_intro zenon_H4d7. % 23.65/23.84 apply (zenon_L175_); trivial. % 23.65/23.84 apply (zenon_notand_s _ _ zenon_H4d3); [ zenon_intro zenon_H4d8 | zenon_intro zenon_H345 ]. % 23.65/23.84 apply (zenon_notor_s _ _ zenon_H4d8). zenon_intro zenon_H4da. zenon_intro zenon_H4d9. % 23.65/23.84 apply (zenon_notor_s _ _ zenon_H4d9). zenon_intro zenon_H4dc. zenon_intro zenon_H4db. % 23.65/23.84 apply (zenon_notor_s _ _ zenon_H4db). zenon_intro zenon_H269. zenon_intro zenon_H4dd. % 23.65/23.84 apply (zenon_L201_); trivial. % 23.65/23.84 apply (zenon_L344_); trivial. % 23.65/23.84 Qed. % 23.65/23.84 % SZS output end Proof % 23.65/23.84 (* END-PROOF *) % 23.65/23.84 nodes searched: 1242592 % 23.65/23.84 max branch formulas: 1855 % 23.65/23.84 proof nodes created: 13285 % 23.65/23.84 formulas created: 597765 % 23.65/23.84 %------------------------------------------------------------------------------