TSTP Solution File: ALG188+1 by Zenon---0.7.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zenon---0.7.1
% Problem : ALG188+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_zenon %s %d
% Computer : n018.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 18:31:04 EDT 2022
% Result : Theorem 1.08s 1.30s
% Output : Proof 1.08s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ALG188+1 : TPTP v8.1.0. Released v2.7.0.
% 0.03/0.13 % Command : run_zenon %s %d
% 0.13/0.34 % Computer : n018.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Wed Jun 8 18:26:22 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.08/1.30 (* PROOF-FOUND *)
% 1.08/1.30 % SZS status Theorem
% 1.08/1.30 (* BEGIN-PROOF *)
% 1.08/1.30 % SZS output start Proof
% 1.08/1.30 Theorem co1 : (((op (e0) (op (e0) (e0))) = (e0))/\(((op (e0) (op (e0) (e1))) = (e1))/\(((op (e0) (op (e0) (e2))) = (e2))/\(((op (e0) (op (e0) (e3))) = (e3))/\(((op (e0) (op (e0) (e4))) = (e4))/\(((op (e1) (op (e1) (e0))) = (e0))/\(((op (e1) (op (e1) (e1))) = (e1))/\(((op (e1) (op (e1) (e2))) = (e2))/\(((op (e1) (op (e1) (e3))) = (e3))/\(((op (e1) (op (e1) (e4))) = (e4))/\(((op (e2) (op (e2) (e0))) = (e0))/\(((op (e2) (op (e2) (e1))) = (e1))/\(((op (e2) (op (e2) (e2))) = (e2))/\(((op (e2) (op (e2) (e3))) = (e3))/\(((op (e2) (op (e2) (e4))) = (e4))/\(((op (e3) (op (e3) (e0))) = (e0))/\(((op (e3) (op (e3) (e1))) = (e1))/\(((op (e3) (op (e3) (e2))) = (e2))/\(((op (e3) (op (e3) (e3))) = (e3))/\(((op (e3) (op (e3) (e4))) = (e4))/\(((op (e4) (op (e4) (e0))) = (e0))/\(((op (e4) (op (e4) (e1))) = (e1))/\(((op (e4) (op (e4) (e2))) = (e2))/\(((op (e4) (op (e4) (e3))) = (e3))/\(((op (e4) (op (e4) (e4))) = (e4))/\((((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/(((op (e0) (e0)) = (e3))\/((op (e0) (e0)) = (e4))))))/\((((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e1)) = (e3))\/((op (e0) (e1)) = (e4))))))/\((((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e2)) = (e4))))))/\((((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/(((op (e0) (e3)) = (e3))\/((op (e0) (e3)) = (e4))))))/\((((op (e0) (e4)) = (e0))\/(((op (e0) (e4)) = (e1))\/(((op (e0) (e4)) = (e2))\/(((op (e0) (e4)) = (e3))\/((op (e0) (e4)) = (e4))))))/\((((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/(((op (e1) (e0)) = (e3))\/((op (e1) (e0)) = (e4))))))/\((((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e1)) = (e3))\/((op (e1) (e1)) = (e4))))))/\((((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e2)) = (e4))))))/\((((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/(((op (e1) (e3)) = (e3))\/((op (e1) (e3)) = (e4))))))/\((((op (e1) (e4)) = (e0))\/(((op (e1) (e4)) = (e1))\/(((op (e1) (e4)) = (e2))\/(((op (e1) (e4)) = (e3))\/((op (e1) (e4)) = (e4))))))/\((((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/(((op (e2) (e0)) = (e3))\/((op (e2) (e0)) = (e4))))))/\((((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e1)) = (e3))\/((op (e2) (e1)) = (e4))))))/\((((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e2)) = (e4))))))/\((((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/(((op (e2) (e3)) = (e3))\/((op (e2) (e3)) = (e4))))))/\((((op (e2) (e4)) = (e0))\/(((op (e2) (e4)) = (e1))\/(((op (e2) (e4)) = (e2))\/(((op (e2) (e4)) = (e3))\/((op (e2) (e4)) = (e4))))))/\((((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/(((op (e3) (e0)) = (e3))\/((op (e3) (e0)) = (e4))))))/\((((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e1)) = (e3))\/((op (e3) (e1)) = (e4))))))/\((((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e2)) = (e4))))))/\((((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/(((op (e3) (e3)) = (e3))\/((op (e3) (e3)) = (e4))))))/\((((op (e3) (e4)) = (e0))\/(((op (e3) (e4)) = (e1))\/(((op (e3) (e4)) = (e2))\/(((op (e3) (e4)) = (e3))\/((op (e3) (e4)) = (e4))))))/\((((op (e4) (e0)) = (e0))\/(((op (e4) (e0)) = (e1))\/(((op (e4) (e0)) = (e2))\/(((op (e4) (e0)) = (e3))\/((op (e4) (e0)) = (e4))))))/\((((op (e4) (e1)) = (e0))\/(((op (e4) (e1)) = (e1))\/(((op (e4) (e1)) = (e2))\/(((op (e4) (e1)) = (e3))\/((op (e4) (e1)) = (e4))))))/\((((op (e4) (e2)) = (e0))\/(((op (e4) (e2)) = (e1))\/(((op (e4) (e2)) = (e2))\/(((op (e4) (e2)) = (e3))\/((op (e4) (e2)) = (e4))))))/\((((op (e4) (e3)) = (e0))\/(((op (e4) (e3)) = (e1))\/(((op (e4) (e3)) = (e2))\/(((op (e4) (e3)) = (e3))\/((op (e4) (e3)) = (e4))))))/\((((op (e4) (e4)) = (e0))\/(((op (e4) (e4)) = (e1))\/(((op (e4) (e4)) = (e2))\/(((op (e4) (e4)) = (e3))\/((op (e4) (e4)) = (e4))))))/\((((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/(((op (e0) (e3)) = (e0))\/((op (e0) (e4)) = (e0))))))/\((((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/(((op (e3) (e0)) = (e0))\/((op (e4) (e0)) = (e0))))))/\((((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e3)) = (e1))\/((op (e0) (e4)) = (e1))))))/\((((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/(((op (e3) (e0)) = (e1))\/((op (e4) (e0)) = (e1))))))/\((((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e4)) = (e2))))))/\((((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/(((op (e3) (e0)) = (e2))\/((op (e4) (e0)) = (e2))))))/\((((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/(((op (e0) (e3)) = (e3))\/((op (e0) (e4)) = (e3))))))/\((((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/(((op (e3) (e0)) = (e3))\/((op (e4) (e0)) = (e3))))))/\((((op (e0) (e0)) = (e4))\/(((op (e0) (e1)) = (e4))\/(((op (e0) (e2)) = (e4))\/(((op (e0) (e3)) = (e4))\/((op (e0) (e4)) = (e4))))))/\((((op (e0) (e0)) = (e4))\/(((op (e1) (e0)) = (e4))\/(((op (e2) (e0)) = (e4))\/(((op (e3) (e0)) = (e4))\/((op (e4) (e0)) = (e4))))))/\((((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e1) (e3)) = (e0))\/((op (e1) (e4)) = (e0))))))/\((((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e3) (e1)) = (e0))\/((op (e4) (e1)) = (e0))))))/\((((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e3)) = (e1))\/((op (e1) (e4)) = (e1))))))/\((((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e3) (e1)) = (e1))\/((op (e4) (e1)) = (e1))))))/\((((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e4)) = (e2))))))/\((((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e3) (e1)) = (e2))\/((op (e4) (e1)) = (e2))))))/\((((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e1) (e3)) = (e3))\/((op (e1) (e4)) = (e3))))))/\((((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e3) (e1)) = (e3))\/((op (e4) (e1)) = (e3))))))/\((((op (e1) (e0)) = (e4))\/(((op (e1) (e1)) = (e4))\/(((op (e1) (e2)) = (e4))\/(((op (e1) (e3)) = (e4))\/((op (e1) (e4)) = (e4))))))/\((((op (e0) (e1)) = (e4))\/(((op (e1) (e1)) = (e4))\/(((op (e2) (e1)) = (e4))\/(((op (e3) (e1)) = (e4))\/((op (e4) (e1)) = (e4))))))/\((((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e2) (e4)) = (e0))))))/\((((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e4) (e2)) = (e0))))))/\((((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e2) (e4)) = (e1))))))/\((((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e4) (e2)) = (e1))))))/\((((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e4)) = (e2))))))/\((((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e4) (e2)) = (e2))))))/\((((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e2) (e4)) = (e3))))))/\((((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e4) (e2)) = (e3))))))/\((((op (e2) (e0)) = (e4))\/(((op (e2) (e1)) = (e4))\/(((op (e2) (e2)) = (e4))\/(((op (e2) (e3)) = (e4))\/((op (e2) (e4)) = (e4))))))/\((((op (e0) (e2)) = (e4))\/(((op (e1) (e2)) = (e4))\/(((op (e2) (e2)) = (e4))\/(((op (e3) (e2)) = (e4))\/((op (e4) (e2)) = (e4))))))/\((((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/(((op (e3) (e3)) = (e0))\/((op (e3) (e4)) = (e0))))))/\((((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/(((op (e3) (e3)) = (e0))\/((op (e4) (e3)) = (e0))))))/\((((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e3)) = (e1))\/((op (e3) (e4)) = (e1))))))/\((((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/(((op (e3) (e3)) = (e1))\/((op (e4) (e3)) = (e1))))))/\((((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e4)) = (e2))))))/\((((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/(((op (e3) (e3)) = (e2))\/((op (e4) (e3)) = (e2))))))/\((((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/(((op (e3) (e3)) = (e3))\/((op (e3) (e4)) = (e3))))))/\((((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/(((op (e3) (e3)) = (e3))\/((op (e4) (e3)) = (e3))))))/\((((op (e3) (e0)) = (e4))\/(((op (e3) (e1)) = (e4))\/(((op (e3) (e2)) = (e4))\/(((op (e3) (e3)) = (e4))\/((op (e3) (e4)) = (e4))))))/\((((op (e0) (e3)) = (e4))\/(((op (e1) (e3)) = (e4))\/(((op (e2) (e3)) = (e4))\/(((op (e3) (e3)) = (e4))\/((op (e4) (e3)) = (e4))))))/\((((op (e4) (e0)) = (e0))\/(((op (e4) (e1)) = (e0))\/(((op (e4) (e2)) = (e0))\/(((op (e4) (e3)) = (e0))\/((op (e4) (e4)) = (e0))))))/\((((op (e0) (e4)) = (e0))\/(((op (e1) (e4)) = (e0))\/(((op (e2) (e4)) = (e0))\/(((op (e3) (e4)) = (e0))\/((op (e4) (e4)) = (e0))))))/\((((op (e4) (e0)) = (e1))\/(((op (e4) (e1)) = (e1))\/(((op (e4) (e2)) = (e1))\/(((op (e4) (e3)) = (e1))\/((op (e4) (e4)) = (e1))))))/\((((op (e0) (e4)) = (e1))\/(((op (e1) (e4)) = (e1))\/(((op (e2) (e4)) = (e1))\/(((op (e3) (e4)) = (e1))\/((op (e4) (e4)) = (e1))))))/\((((op (e4) (e0)) = (e2))\/(((op (e4) (e1)) = (e2))\/(((op (e4) (e2)) = (e2))\/(((op (e4) (e3)) = (e2))\/((op (e4) (e4)) = (e2))))))/\((((op (e0) (e4)) = (e2))\/(((op (e1) (e4)) = (e2))\/(((op (e2) (e4)) = (e2))\/(((op (e3) (e4)) = (e2))\/((op (e4) (e4)) = (e2))))))/\((((op (e4) (e0)) = (e3))\/(((op (e4) (e1)) = (e3))\/(((op (e4) (e2)) = (e3))\/(((op (e4) (e3)) = (e3))\/((op (e4) (e4)) = (e3))))))/\((((op (e0) (e4)) = (e3))\/(((op (e1) (e4)) = (e3))\/(((op (e2) (e4)) = (e3))\/(((op (e3) (e4)) = (e3))\/((op (e4) (e4)) = (e3))))))/\((((op (e4) (e0)) = (e4))\/(((op (e4) (e1)) = (e4))\/(((op (e4) (e2)) = (e4))\/(((op (e4) (e3)) = (e4))\/((op (e4) (e4)) = (e4))))))/\((((op (e0) (e4)) = (e4))\/(((op (e1) (e4)) = (e4))\/(((op (e2) (e4)) = (e4))\/(((op (e3) (e4)) = (e4))\/((op (e4) (e4)) = (e4))))))/\(((op (op (e0) (e0)) (op (e0) (e0))) = (e0))/\(((op (op (e1) (e0)) (op (e0) (e1))) = (e0))/\(((op (op (e2) (e0)) (op (e0) (e2))) = (e0))/\(((op (op (e3) (e0)) (op (e0) (e3))) = (e0))/\(((op (op (e4) (e0)) (op (e0) (e4))) = (e0))/\(((op (op (e0) (e1)) (op (e1) (e0))) = (e1))/\(((op (op (e1) (e1)) (op (e1) (e1))) = (e1))/\(((op (op (e2) (e1)) (op (e1) (e2))) = (e1))/\(((op (op (e3) (e1)) (op (e1) (e3))) = (e1))/\(((op (op (e4) (e1)) (op (e1) (e4))) = (e1))/\(((op (op (e0) (e2)) (op (e2) (e0))) = (e2))/\(((op (op (e1) (e2)) (op (e2) (e1))) = (e2))/\(((op (op (e2) (e2)) (op (e2) (e2))) = (e2))/\(((op (op (e3) (e2)) (op (e2) (e3))) = (e2))/\(((op (op (e4) (e2)) (op (e2) (e4))) = (e2))/\(((op (op (e0) (e3)) (op (e3) (e0))) = (e3))/\(((op (op (e1) (e3)) (op (e3) (e1))) = (e3))/\(((op (op (e2) (e3)) (op (e3) (e2))) = (e3))/\(((op (op (e3) (e3)) (op (e3) (e3))) = (e3))/\(((op (op (e4) (e3)) (op (e3) (e4))) = (e3))/\(((op (op (e0) (e4)) (op (e4) (e0))) = (e4))/\(((op (op (e1) (e4)) (op (e4) (e1))) = (e4))/\(((op (op (e2) (e4)) (op (e4) (e2))) = (e4))/\(((op (op (e3) (e4)) (op (e4) (e3))) = (e4))/\((op (op (e4) (e4)) (op (e4) (e4))) = (e4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))).
% 1.08/1.30 Proof.
% 1.08/1.30 assert (zenon_L1_ : (~((e0) = (e0))) -> False).
% 1.08/1.30 do 0 intro. intros zenon_H3.
% 1.08/1.30 apply zenon_H3. apply refl_equal.
% 1.08/1.30 (* end of lemma zenon_L1_ *)
% 1.08/1.30 assert (zenon_L2_ : (~((e1) = (e1))) -> False).
% 1.08/1.30 do 0 intro. intros zenon_H4.
% 1.08/1.30 apply zenon_H4. apply refl_equal.
% 1.08/1.30 (* end of lemma zenon_L2_ *)
% 1.08/1.30 assert (zenon_L3_ : (~((e2) = (e2))) -> False).
% 1.08/1.30 do 0 intro. intros zenon_H5.
% 1.08/1.30 apply zenon_H5. apply refl_equal.
% 1.08/1.30 (* end of lemma zenon_L3_ *)
% 1.08/1.30 assert (zenon_L4_ : (~((e3) = (e3))) -> False).
% 1.08/1.30 do 0 intro. intros zenon_H6.
% 1.08/1.30 apply zenon_H6. apply refl_equal.
% 1.08/1.30 (* end of lemma zenon_L4_ *)
% 1.08/1.30 assert (zenon_L5_ : (~((e4) = (e4))) -> False).
% 1.08/1.30 do 0 intro. intros zenon_H7.
% 1.08/1.30 apply zenon_H7. apply refl_equal.
% 1.08/1.30 (* end of lemma zenon_L5_ *)
% 1.08/1.30 apply NNPP. intro zenon_G.
% 1.08/1.30 apply (zenon_and_s _ _ ax2). zenon_intro zenon_H9. zenon_intro zenon_H8.
% 1.08/1.30 apply (zenon_and_s _ _ zenon_H8). zenon_intro zenon_Hb. zenon_intro zenon_Ha.
% 1.08/1.30 apply (zenon_and_s _ _ zenon_Ha). zenon_intro zenon_Hd. zenon_intro zenon_Hc.
% 1.08/1.30 apply (zenon_and_s _ _ zenon_Hc). zenon_intro zenon_Hf. zenon_intro zenon_He.
% 1.08/1.30 apply (zenon_and_s _ _ zenon_He). zenon_intro zenon_H11. zenon_intro zenon_H10.
% 1.08/1.30 apply (zenon_and_s _ _ zenon_H10). zenon_intro zenon_H13. zenon_intro zenon_H12.
% 1.08/1.30 apply (zenon_and_s _ _ zenon_H12). zenon_intro zenon_H15. zenon_intro zenon_H14.
% 1.08/1.30 apply (zenon_and_s _ _ zenon_H14). zenon_intro zenon_H17. zenon_intro zenon_H16.
% 1.08/1.30 apply (zenon_and_s _ _ zenon_H16). zenon_intro zenon_H19. zenon_intro zenon_H18.
% 1.08/1.30 apply (zenon_and_s _ _ zenon_H18). zenon_intro zenon_H1b. zenon_intro zenon_H1a.
% 1.08/1.30 apply (zenon_and_s _ _ zenon_H1a). zenon_intro zenon_H1d. zenon_intro zenon_H1c.
% 1.08/1.30 apply (zenon_and_s _ _ zenon_H1c). zenon_intro zenon_H1f. zenon_intro zenon_H1e.
% 1.08/1.30 apply (zenon_and_s _ _ zenon_H1e). zenon_intro zenon_H21. zenon_intro zenon_H20.
% 1.08/1.30 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H23. zenon_intro zenon_H22.
% 1.08/1.30 apply (zenon_and_s _ _ zenon_H22). zenon_intro zenon_H25. zenon_intro zenon_H24.
% 1.08/1.30 apply (zenon_and_s _ _ zenon_H24). zenon_intro zenon_H27. zenon_intro zenon_H26.
% 1.08/1.30 apply (zenon_and_s _ _ zenon_H26). zenon_intro zenon_H29. zenon_intro zenon_H28.
% 1.08/1.30 apply (zenon_and_s _ _ zenon_H28). zenon_intro zenon_H2b. zenon_intro zenon_H2a.
% 1.08/1.30 apply (zenon_and_s _ _ zenon_H2a). zenon_intro zenon_H2d. zenon_intro zenon_H2c.
% 1.08/1.30 apply (zenon_and_s _ _ zenon_H2c). zenon_intro zenon_H2f. zenon_intro zenon_H2e.
% 1.08/1.30 apply (zenon_and_s _ _ zenon_H2e). zenon_intro zenon_H31. zenon_intro zenon_H30.
% 1.08/1.30 apply (zenon_and_s _ _ zenon_H30). zenon_intro zenon_H33. zenon_intro zenon_H32.
% 1.08/1.30 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H35. zenon_intro zenon_H34.
% 1.08/1.30 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H37. zenon_intro zenon_H36.
% 1.08/1.30 apply (zenon_notand_s _ _ zenon_G); [ zenon_intro zenon_H39 | zenon_intro zenon_H38 ].
% 1.08/1.30 cut (((op (e0) (e0)) = (e0)) = ((op (e0) (op (e0) (e0))) = (e0))).
% 1.08/1.30 intro zenon_D_pnotp.
% 1.08/1.30 apply zenon_H39.
% 1.08/1.30 rewrite <- zenon_D_pnotp.
% 1.08/1.30 exact zenon_H9.
% 1.08/1.30 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H3].
% 1.08/1.30 cut (((op (e0) (e0)) = (op (e0) (op (e0) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H3a].
% 1.08/1.30 congruence.
% 1.08/1.30 elim (classic ((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0))))); [ zenon_intro zenon_H3b | zenon_intro zenon_H3c ].
% 1.08/1.30 cut (((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0)))) = ((op (e0) (e0)) = (op (e0) (op (e0) (e0))))).
% 1.08/1.30 intro zenon_D_pnotp.
% 1.08/1.30 apply zenon_H3a.
% 1.08/1.30 rewrite <- zenon_D_pnotp.
% 1.08/1.30 exact zenon_H3b.
% 1.08/1.30 cut (((op (e0) (op (e0) (e0))) = (op (e0) (op (e0) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H3c].
% 1.08/1.30 cut (((op (e0) (op (e0) (e0))) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H3d].
% 1.08/1.30 congruence.
% 1.08/1.30 cut (((op (e0) (e0)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H3e].
% 1.08/1.30 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H3].
% 1.08/1.30 congruence.
% 1.08/1.30 apply zenon_H3. apply refl_equal.
% 1.08/1.30 exact (zenon_H3e zenon_H9).
% 1.08/1.30 apply zenon_H3c. apply refl_equal.
% 1.08/1.30 apply zenon_H3c. apply refl_equal.
% 1.08/1.30 apply zenon_H3. apply refl_equal.
% 1.08/1.30 apply (zenon_notand_s _ _ zenon_H38); [ zenon_intro zenon_H40 | zenon_intro zenon_H3f ].
% 1.08/1.30 cut (((op (e0) (e3)) = (e1)) = ((op (e0) (op (e0) (e1))) = (e1))).
% 1.08/1.30 intro zenon_D_pnotp.
% 1.08/1.30 apply zenon_H40.
% 1.08/1.30 rewrite <- zenon_D_pnotp.
% 1.08/1.30 exact zenon_Hf.
% 1.08/1.30 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H4].
% 1.08/1.30 cut (((op (e0) (e3)) = (op (e0) (op (e0) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H41].
% 1.08/1.30 congruence.
% 1.08/1.30 elim (classic ((op (e0) (op (e0) (e1))) = (op (e0) (op (e0) (e1))))); [ zenon_intro zenon_H42 | zenon_intro zenon_H43 ].
% 1.08/1.30 cut (((op (e0) (op (e0) (e1))) = (op (e0) (op (e0) (e1)))) = ((op (e0) (e3)) = (op (e0) (op (e0) (e1))))).
% 1.08/1.30 intro zenon_D_pnotp.
% 1.08/1.30 apply zenon_H41.
% 1.08/1.30 rewrite <- zenon_D_pnotp.
% 1.08/1.30 exact zenon_H42.
% 1.08/1.30 cut (((op (e0) (op (e0) (e1))) = (op (e0) (op (e0) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H43].
% 1.08/1.30 cut (((op (e0) (op (e0) (e1))) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H44].
% 1.08/1.30 congruence.
% 1.08/1.30 cut (((op (e0) (e1)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H45].
% 1.08/1.30 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H3].
% 1.08/1.30 congruence.
% 1.08/1.30 apply zenon_H3. apply refl_equal.
% 1.08/1.30 exact (zenon_H45 zenon_Hb).
% 1.08/1.30 apply zenon_H43. apply refl_equal.
% 1.08/1.30 apply zenon_H43. apply refl_equal.
% 1.08/1.30 apply zenon_H4. apply refl_equal.
% 1.08/1.30 apply (zenon_notand_s _ _ zenon_H3f); [ zenon_intro zenon_H47 | zenon_intro zenon_H46 ].
% 1.08/1.30 cut (((op (e0) (e4)) = (e2)) = ((op (e0) (op (e0) (e2))) = (e2))).
% 1.08/1.30 intro zenon_D_pnotp.
% 1.08/1.30 apply zenon_H47.
% 1.08/1.30 rewrite <- zenon_D_pnotp.
% 1.08/1.30 exact zenon_H11.
% 1.08/1.30 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H5].
% 1.08/1.30 cut (((op (e0) (e4)) = (op (e0) (op (e0) (e2))))); [idtac | apply NNPP; zenon_intro zenon_H48].
% 1.08/1.30 congruence.
% 1.08/1.30 elim (classic ((op (e0) (op (e0) (e2))) = (op (e0) (op (e0) (e2))))); [ zenon_intro zenon_H49 | zenon_intro zenon_H4a ].
% 1.08/1.30 cut (((op (e0) (op (e0) (e2))) = (op (e0) (op (e0) (e2)))) = ((op (e0) (e4)) = (op (e0) (op (e0) (e2))))).
% 1.08/1.30 intro zenon_D_pnotp.
% 1.08/1.30 apply zenon_H48.
% 1.08/1.30 rewrite <- zenon_D_pnotp.
% 1.08/1.30 exact zenon_H49.
% 1.08/1.30 cut (((op (e0) (op (e0) (e2))) = (op (e0) (op (e0) (e2))))); [idtac | apply NNPP; zenon_intro zenon_H4a].
% 1.08/1.30 cut (((op (e0) (op (e0) (e2))) = (op (e0) (e4)))); [idtac | apply NNPP; zenon_intro zenon_H4b].
% 1.08/1.30 congruence.
% 1.08/1.30 cut (((op (e0) (e2)) = (e4))); [idtac | apply NNPP; zenon_intro zenon_H4c].
% 1.08/1.30 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H3].
% 1.08/1.30 congruence.
% 1.08/1.30 apply zenon_H3. apply refl_equal.
% 1.08/1.30 exact (zenon_H4c zenon_Hd).
% 1.08/1.30 apply zenon_H4a. apply refl_equal.
% 1.08/1.30 apply zenon_H4a. apply refl_equal.
% 1.08/1.30 apply zenon_H5. apply refl_equal.
% 1.08/1.30 apply (zenon_notand_s _ _ zenon_H46); [ zenon_intro zenon_H4e | zenon_intro zenon_H4d ].
% 1.08/1.30 cut (((op (e0) (e1)) = (e3)) = ((op (e0) (op (e0) (e3))) = (e3))).
% 1.08/1.30 intro zenon_D_pnotp.
% 1.08/1.30 apply zenon_H4e.
% 1.08/1.30 rewrite <- zenon_D_pnotp.
% 1.08/1.30 exact zenon_Hb.
% 1.08/1.30 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H6].
% 1.08/1.30 cut (((op (e0) (e1)) = (op (e0) (op (e0) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H4f].
% 1.08/1.30 congruence.
% 1.08/1.30 elim (classic ((op (e0) (op (e0) (e3))) = (op (e0) (op (e0) (e3))))); [ zenon_intro zenon_H50 | zenon_intro zenon_H51 ].
% 1.08/1.30 cut (((op (e0) (op (e0) (e3))) = (op (e0) (op (e0) (e3)))) = ((op (e0) (e1)) = (op (e0) (op (e0) (e3))))).
% 1.08/1.30 intro zenon_D_pnotp.
% 1.08/1.30 apply zenon_H4f.
% 1.08/1.30 rewrite <- zenon_D_pnotp.
% 1.08/1.30 exact zenon_H50.
% 1.08/1.30 cut (((op (e0) (op (e0) (e3))) = (op (e0) (op (e0) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H51].
% 1.08/1.30 cut (((op (e0) (op (e0) (e3))) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H52].
% 1.08/1.30 congruence.
% 1.08/1.30 cut (((op (e0) (e3)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H53].
% 1.08/1.30 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H3].
% 1.08/1.30 congruence.
% 1.08/1.30 apply zenon_H3. apply refl_equal.
% 1.08/1.30 exact (zenon_H53 zenon_Hf).
% 1.08/1.30 apply zenon_H51. apply refl_equal.
% 1.08/1.30 apply zenon_H51. apply refl_equal.
% 1.08/1.30 apply zenon_H6. apply refl_equal.
% 1.08/1.30 apply (zenon_notand_s _ _ zenon_H4d); [ zenon_intro zenon_H55 | zenon_intro zenon_H54 ].
% 1.08/1.30 cut (((op (e0) (e2)) = (e4)) = ((op (e0) (op (e0) (e4))) = (e4))).
% 1.08/1.30 intro zenon_D_pnotp.
% 1.08/1.30 apply zenon_H55.
% 1.08/1.30 rewrite <- zenon_D_pnotp.
% 1.08/1.30 exact zenon_Hd.
% 1.08/1.30 cut (((e4) = (e4))); [idtac | apply NNPP; zenon_intro zenon_H7].
% 1.08/1.30 cut (((op (e0) (e2)) = (op (e0) (op (e0) (e4))))); [idtac | apply NNPP; zenon_intro zenon_H56].
% 1.08/1.30 congruence.
% 1.08/1.30 elim (classic ((op (e0) (op (e0) (e4))) = (op (e0) (op (e0) (e4))))); [ zenon_intro zenon_H57 | zenon_intro zenon_H58 ].
% 1.08/1.30 cut (((op (e0) (op (e0) (e4))) = (op (e0) (op (e0) (e4)))) = ((op (e0) (e2)) = (op (e0) (op (e0) (e4))))).
% 1.08/1.30 intro zenon_D_pnotp.
% 1.08/1.30 apply zenon_H56.
% 1.08/1.30 rewrite <- zenon_D_pnotp.
% 1.08/1.30 exact zenon_H57.
% 1.08/1.30 cut (((op (e0) (op (e0) (e4))) = (op (e0) (op (e0) (e4))))); [idtac | apply NNPP; zenon_intro zenon_H58].
% 1.08/1.30 cut (((op (e0) (op (e0) (e4))) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H59].
% 1.08/1.30 congruence.
% 1.08/1.30 cut (((op (e0) (e4)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H5a].
% 1.08/1.30 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H3].
% 1.08/1.30 congruence.
% 1.08/1.30 apply zenon_H3. apply refl_equal.
% 1.08/1.30 exact (zenon_H5a zenon_H11).
% 1.08/1.30 apply zenon_H58. apply refl_equal.
% 1.08/1.30 apply zenon_H58. apply refl_equal.
% 1.08/1.30 apply zenon_H7. apply refl_equal.
% 1.08/1.30 apply (zenon_notand_s _ _ zenon_H54); [ zenon_intro zenon_H5c | zenon_intro zenon_H5b ].
% 1.08/1.30 cut (((op (e1) (e4)) = (e0)) = ((op (e1) (op (e1) (e0))) = (e0))).
% 1.08/1.30 intro zenon_D_pnotp.
% 1.08/1.30 apply zenon_H5c.
% 1.08/1.30 rewrite <- zenon_D_pnotp.
% 1.08/1.30 exact zenon_H1b.
% 1.08/1.30 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H3].
% 1.08/1.30 cut (((op (e1) (e4)) = (op (e1) (op (e1) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H5d].
% 1.08/1.30 congruence.
% 1.08/1.30 elim (classic ((op (e1) (op (e1) (e0))) = (op (e1) (op (e1) (e0))))); [ zenon_intro zenon_H5e | zenon_intro zenon_H5f ].
% 1.08/1.30 cut (((op (e1) (op (e1) (e0))) = (op (e1) (op (e1) (e0)))) = ((op (e1) (e4)) = (op (e1) (op (e1) (e0))))).
% 1.08/1.30 intro zenon_D_pnotp.
% 1.08/1.30 apply zenon_H5d.
% 1.08/1.30 rewrite <- zenon_D_pnotp.
% 1.08/1.30 exact zenon_H5e.
% 1.08/1.30 cut (((op (e1) (op (e1) (e0))) = (op (e1) (op (e1) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H5f].
% 1.08/1.30 cut (((op (e1) (op (e1) (e0))) = (op (e1) (e4)))); [idtac | apply NNPP; zenon_intro zenon_H60].
% 1.08/1.30 congruence.
% 1.08/1.30 cut (((op (e1) (e0)) = (e4))); [idtac | apply NNPP; zenon_intro zenon_H61].
% 1.08/1.30 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H4].
% 1.08/1.30 congruence.
% 1.08/1.30 apply zenon_H4. apply refl_equal.
% 1.08/1.30 exact (zenon_H61 zenon_H13).
% 1.08/1.30 apply zenon_H5f. apply refl_equal.
% 1.08/1.30 apply zenon_H5f. apply refl_equal.
% 1.08/1.30 apply zenon_H3. apply refl_equal.
% 1.08/1.30 apply (zenon_notand_s _ _ zenon_H5b); [ zenon_intro zenon_H63 | zenon_intro zenon_H62 ].
% 1.08/1.30 cut (((op (e1) (e1)) = (e1)) = ((op (e1) (op (e1) (e1))) = (e1))).
% 1.08/1.30 intro zenon_D_pnotp.
% 1.08/1.30 apply zenon_H63.
% 1.08/1.30 rewrite <- zenon_D_pnotp.
% 1.08/1.30 exact zenon_H15.
% 1.08/1.30 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H4].
% 1.08/1.30 cut (((op (e1) (e1)) = (op (e1) (op (e1) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H64].
% 1.08/1.30 congruence.
% 1.08/1.30 elim (classic ((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1))))); [ zenon_intro zenon_H65 | zenon_intro zenon_H66 ].
% 1.08/1.30 cut (((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1)))) = ((op (e1) (e1)) = (op (e1) (op (e1) (e1))))).
% 1.08/1.30 intro zenon_D_pnotp.
% 1.08/1.30 apply zenon_H64.
% 1.08/1.30 rewrite <- zenon_D_pnotp.
% 1.08/1.30 exact zenon_H65.
% 1.08/1.30 cut (((op (e1) (op (e1) (e1))) = (op (e1) (op (e1) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H66].
% 1.08/1.30 cut (((op (e1) (op (e1) (e1))) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H67].
% 1.08/1.30 congruence.
% 1.08/1.30 cut (((op (e1) (e1)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H68].
% 1.08/1.30 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H4].
% 1.08/1.30 congruence.
% 1.08/1.30 apply zenon_H4. apply refl_equal.
% 1.08/1.30 exact (zenon_H68 zenon_H15).
% 1.08/1.30 apply zenon_H66. apply refl_equal.
% 1.08/1.30 apply zenon_H66. apply refl_equal.
% 1.08/1.30 apply zenon_H4. apply refl_equal.
% 1.08/1.30 apply (zenon_notand_s _ _ zenon_H62); [ zenon_intro zenon_H6a | zenon_intro zenon_H69 ].
% 1.08/1.30 cut (((op (e1) (e3)) = (e2)) = ((op (e1) (op (e1) (e2))) = (e2))).
% 1.08/1.30 intro zenon_D_pnotp.
% 1.08/1.30 apply zenon_H6a.
% 1.08/1.30 rewrite <- zenon_D_pnotp.
% 1.08/1.30 exact zenon_H19.
% 1.08/1.30 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H5].
% 1.08/1.30 cut (((op (e1) (e3)) = (op (e1) (op (e1) (e2))))); [idtac | apply NNPP; zenon_intro zenon_H6b].
% 1.08/1.30 congruence.
% 1.08/1.30 elim (classic ((op (e1) (op (e1) (e2))) = (op (e1) (op (e1) (e2))))); [ zenon_intro zenon_H6c | zenon_intro zenon_H6d ].
% 1.08/1.30 cut (((op (e1) (op (e1) (e2))) = (op (e1) (op (e1) (e2)))) = ((op (e1) (e3)) = (op (e1) (op (e1) (e2))))).
% 1.08/1.30 intro zenon_D_pnotp.
% 1.08/1.30 apply zenon_H6b.
% 1.08/1.30 rewrite <- zenon_D_pnotp.
% 1.08/1.30 exact zenon_H6c.
% 1.08/1.30 cut (((op (e1) (op (e1) (e2))) = (op (e1) (op (e1) (e2))))); [idtac | apply NNPP; zenon_intro zenon_H6d].
% 1.08/1.30 cut (((op (e1) (op (e1) (e2))) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H6e].
% 1.08/1.30 congruence.
% 1.08/1.30 cut (((op (e1) (e2)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H6f].
% 1.08/1.30 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H4].
% 1.08/1.30 congruence.
% 1.08/1.30 apply zenon_H4. apply refl_equal.
% 1.08/1.30 exact (zenon_H6f zenon_H17).
% 1.08/1.30 apply zenon_H6d. apply refl_equal.
% 1.08/1.30 apply zenon_H6d. apply refl_equal.
% 1.08/1.30 apply zenon_H5. apply refl_equal.
% 1.08/1.30 apply (zenon_notand_s _ _ zenon_H69); [ zenon_intro zenon_H71 | zenon_intro zenon_H70 ].
% 1.08/1.30 cut (((op (e1) (e2)) = (e3)) = ((op (e1) (op (e1) (e3))) = (e3))).
% 1.08/1.30 intro zenon_D_pnotp.
% 1.08/1.30 apply zenon_H71.
% 1.08/1.30 rewrite <- zenon_D_pnotp.
% 1.08/1.30 exact zenon_H17.
% 1.08/1.30 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H6].
% 1.08/1.30 cut (((op (e1) (e2)) = (op (e1) (op (e1) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H72].
% 1.08/1.30 congruence.
% 1.08/1.30 elim (classic ((op (e1) (op (e1) (e3))) = (op (e1) (op (e1) (e3))))); [ zenon_intro zenon_H73 | zenon_intro zenon_H74 ].
% 1.08/1.30 cut (((op (e1) (op (e1) (e3))) = (op (e1) (op (e1) (e3)))) = ((op (e1) (e2)) = (op (e1) (op (e1) (e3))))).
% 1.08/1.30 intro zenon_D_pnotp.
% 1.08/1.30 apply zenon_H72.
% 1.08/1.30 rewrite <- zenon_D_pnotp.
% 1.08/1.30 exact zenon_H73.
% 1.08/1.30 cut (((op (e1) (op (e1) (e3))) = (op (e1) (op (e1) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H74].
% 1.08/1.30 cut (((op (e1) (op (e1) (e3))) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H75].
% 1.08/1.30 congruence.
% 1.08/1.30 cut (((op (e1) (e3)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H76].
% 1.08/1.30 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H4].
% 1.08/1.30 congruence.
% 1.08/1.30 apply zenon_H4. apply refl_equal.
% 1.08/1.30 exact (zenon_H76 zenon_H19).
% 1.08/1.30 apply zenon_H74. apply refl_equal.
% 1.08/1.30 apply zenon_H74. apply refl_equal.
% 1.08/1.30 apply zenon_H6. apply refl_equal.
% 1.08/1.30 apply (zenon_notand_s _ _ zenon_H70); [ zenon_intro zenon_H78 | zenon_intro zenon_H77 ].
% 1.08/1.30 cut (((op (e1) (e0)) = (e4)) = ((op (e1) (op (e1) (e4))) = (e4))).
% 1.08/1.30 intro zenon_D_pnotp.
% 1.08/1.30 apply zenon_H78.
% 1.08/1.30 rewrite <- zenon_D_pnotp.
% 1.08/1.30 exact zenon_H13.
% 1.08/1.30 cut (((e4) = (e4))); [idtac | apply NNPP; zenon_intro zenon_H7].
% 1.08/1.30 cut (((op (e1) (e0)) = (op (e1) (op (e1) (e4))))); [idtac | apply NNPP; zenon_intro zenon_H79].
% 1.08/1.30 congruence.
% 1.08/1.30 elim (classic ((op (e1) (op (e1) (e4))) = (op (e1) (op (e1) (e4))))); [ zenon_intro zenon_H7a | zenon_intro zenon_H7b ].
% 1.08/1.30 cut (((op (e1) (op (e1) (e4))) = (op (e1) (op (e1) (e4)))) = ((op (e1) (e0)) = (op (e1) (op (e1) (e4))))).
% 1.08/1.30 intro zenon_D_pnotp.
% 1.08/1.30 apply zenon_H79.
% 1.08/1.30 rewrite <- zenon_D_pnotp.
% 1.08/1.30 exact zenon_H7a.
% 1.08/1.30 cut (((op (e1) (op (e1) (e4))) = (op (e1) (op (e1) (e4))))); [idtac | apply NNPP; zenon_intro zenon_H7b].
% 1.08/1.30 cut (((op (e1) (op (e1) (e4))) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H7c].
% 1.08/1.30 congruence.
% 1.08/1.30 cut (((op (e1) (e4)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H7d].
% 1.08/1.30 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H4].
% 1.08/1.30 congruence.
% 1.08/1.30 apply zenon_H4. apply refl_equal.
% 1.08/1.30 exact (zenon_H7d zenon_H1b).
% 1.08/1.30 apply zenon_H7b. apply refl_equal.
% 1.08/1.30 apply zenon_H7b. apply refl_equal.
% 1.08/1.30 apply zenon_H7. apply refl_equal.
% 1.08/1.30 apply (zenon_notand_s _ _ zenon_H77); [ zenon_intro zenon_H7f | zenon_intro zenon_H7e ].
% 1.08/1.30 cut (((op (e2) (e1)) = (e0)) = ((op (e2) (op (e2) (e0))) = (e0))).
% 1.08/1.30 intro zenon_D_pnotp.
% 1.08/1.30 apply zenon_H7f.
% 1.08/1.30 rewrite <- zenon_D_pnotp.
% 1.08/1.30 exact zenon_H1f.
% 1.08/1.30 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H3].
% 1.08/1.30 cut (((op (e2) (e1)) = (op (e2) (op (e2) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H80].
% 1.08/1.30 congruence.
% 1.08/1.30 elim (classic ((op (e2) (op (e2) (e0))) = (op (e2) (op (e2) (e0))))); [ zenon_intro zenon_H81 | zenon_intro zenon_H82 ].
% 1.08/1.30 cut (((op (e2) (op (e2) (e0))) = (op (e2) (op (e2) (e0)))) = ((op (e2) (e1)) = (op (e2) (op (e2) (e0))))).
% 1.08/1.30 intro zenon_D_pnotp.
% 1.08/1.30 apply zenon_H80.
% 1.08/1.30 rewrite <- zenon_D_pnotp.
% 1.08/1.30 exact zenon_H81.
% 1.08/1.30 cut (((op (e2) (op (e2) (e0))) = (op (e2) (op (e2) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H82].
% 1.08/1.30 cut (((op (e2) (op (e2) (e0))) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H83].
% 1.08/1.30 congruence.
% 1.08/1.30 cut (((op (e2) (e0)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H84].
% 1.08/1.30 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H5].
% 1.08/1.30 congruence.
% 1.08/1.30 apply zenon_H5. apply refl_equal.
% 1.08/1.30 exact (zenon_H84 zenon_H1d).
% 1.08/1.30 apply zenon_H82. apply refl_equal.
% 1.08/1.30 apply zenon_H82. apply refl_equal.
% 1.08/1.30 apply zenon_H3. apply refl_equal.
% 1.08/1.30 apply (zenon_notand_s _ _ zenon_H7e); [ zenon_intro zenon_H86 | zenon_intro zenon_H85 ].
% 1.08/1.30 cut (((op (e2) (e0)) = (e1)) = ((op (e2) (op (e2) (e1))) = (e1))).
% 1.08/1.30 intro zenon_D_pnotp.
% 1.08/1.30 apply zenon_H86.
% 1.08/1.30 rewrite <- zenon_D_pnotp.
% 1.08/1.30 exact zenon_H1d.
% 1.08/1.30 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H4].
% 1.08/1.30 cut (((op (e2) (e0)) = (op (e2) (op (e2) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H87].
% 1.08/1.30 congruence.
% 1.08/1.30 elim (classic ((op (e2) (op (e2) (e1))) = (op (e2) (op (e2) (e1))))); [ zenon_intro zenon_H88 | zenon_intro zenon_H89 ].
% 1.08/1.30 cut (((op (e2) (op (e2) (e1))) = (op (e2) (op (e2) (e1)))) = ((op (e2) (e0)) = (op (e2) (op (e2) (e1))))).
% 1.08/1.30 intro zenon_D_pnotp.
% 1.08/1.30 apply zenon_H87.
% 1.08/1.30 rewrite <- zenon_D_pnotp.
% 1.08/1.30 exact zenon_H88.
% 1.08/1.30 cut (((op (e2) (op (e2) (e1))) = (op (e2) (op (e2) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H89].
% 1.08/1.30 cut (((op (e2) (op (e2) (e1))) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H8a].
% 1.08/1.30 congruence.
% 1.08/1.30 cut (((op (e2) (e1)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H8b].
% 1.08/1.30 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H5].
% 1.08/1.30 congruence.
% 1.08/1.30 apply zenon_H5. apply refl_equal.
% 1.08/1.30 exact (zenon_H8b zenon_H1f).
% 1.08/1.30 apply zenon_H89. apply refl_equal.
% 1.08/1.30 apply zenon_H89. apply refl_equal.
% 1.08/1.30 apply zenon_H4. apply refl_equal.
% 1.08/1.30 apply (zenon_notand_s _ _ zenon_H85); [ zenon_intro zenon_H8d | zenon_intro zenon_H8c ].
% 1.08/1.30 cut (((op (e2) (e2)) = (e2)) = ((op (e2) (op (e2) (e2))) = (e2))).
% 1.08/1.30 intro zenon_D_pnotp.
% 1.08/1.30 apply zenon_H8d.
% 1.08/1.30 rewrite <- zenon_D_pnotp.
% 1.08/1.30 exact zenon_H21.
% 1.08/1.30 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H5].
% 1.08/1.30 cut (((op (e2) (e2)) = (op (e2) (op (e2) (e2))))); [idtac | apply NNPP; zenon_intro zenon_H8e].
% 1.08/1.30 congruence.
% 1.08/1.30 elim (classic ((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2))))); [ zenon_intro zenon_H8f | zenon_intro zenon_H90 ].
% 1.08/1.30 cut (((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2)))) = ((op (e2) (e2)) = (op (e2) (op (e2) (e2))))).
% 1.08/1.30 intro zenon_D_pnotp.
% 1.08/1.30 apply zenon_H8e.
% 1.08/1.30 rewrite <- zenon_D_pnotp.
% 1.08/1.30 exact zenon_H8f.
% 1.08/1.30 cut (((op (e2) (op (e2) (e2))) = (op (e2) (op (e2) (e2))))); [idtac | apply NNPP; zenon_intro zenon_H90].
% 1.08/1.30 cut (((op (e2) (op (e2) (e2))) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H91].
% 1.08/1.30 congruence.
% 1.08/1.30 cut (((op (e2) (e2)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H92].
% 1.08/1.30 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H5].
% 1.08/1.30 congruence.
% 1.08/1.30 apply zenon_H5. apply refl_equal.
% 1.08/1.30 exact (zenon_H92 zenon_H21).
% 1.08/1.30 apply zenon_H90. apply refl_equal.
% 1.08/1.30 apply zenon_H90. apply refl_equal.
% 1.08/1.30 apply zenon_H5. apply refl_equal.
% 1.08/1.30 apply (zenon_notand_s _ _ zenon_H8c); [ zenon_intro zenon_H94 | zenon_intro zenon_H93 ].
% 1.08/1.30 cut (((op (e2) (e4)) = (e3)) = ((op (e2) (op (e2) (e3))) = (e3))).
% 1.08/1.30 intro zenon_D_pnotp.
% 1.08/1.30 apply zenon_H94.
% 1.08/1.30 rewrite <- zenon_D_pnotp.
% 1.08/1.30 exact zenon_H25.
% 1.08/1.30 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H6].
% 1.08/1.30 cut (((op (e2) (e4)) = (op (e2) (op (e2) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H95].
% 1.08/1.30 congruence.
% 1.08/1.30 elim (classic ((op (e2) (op (e2) (e3))) = (op (e2) (op (e2) (e3))))); [ zenon_intro zenon_H96 | zenon_intro zenon_H97 ].
% 1.08/1.30 cut (((op (e2) (op (e2) (e3))) = (op (e2) (op (e2) (e3)))) = ((op (e2) (e4)) = (op (e2) (op (e2) (e3))))).
% 1.08/1.30 intro zenon_D_pnotp.
% 1.08/1.30 apply zenon_H95.
% 1.08/1.30 rewrite <- zenon_D_pnotp.
% 1.08/1.30 exact zenon_H96.
% 1.08/1.30 cut (((op (e2) (op (e2) (e3))) = (op (e2) (op (e2) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H97].
% 1.08/1.30 cut (((op (e2) (op (e2) (e3))) = (op (e2) (e4)))); [idtac | apply NNPP; zenon_intro zenon_H98].
% 1.08/1.30 congruence.
% 1.08/1.30 cut (((op (e2) (e3)) = (e4))); [idtac | apply NNPP; zenon_intro zenon_H99].
% 1.08/1.30 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H5].
% 1.08/1.30 congruence.
% 1.08/1.30 apply zenon_H5. apply refl_equal.
% 1.08/1.30 exact (zenon_H99 zenon_H23).
% 1.08/1.30 apply zenon_H97. apply refl_equal.
% 1.08/1.30 apply zenon_H97. apply refl_equal.
% 1.08/1.30 apply zenon_H6. apply refl_equal.
% 1.08/1.30 apply (zenon_notand_s _ _ zenon_H93); [ zenon_intro zenon_H9b | zenon_intro zenon_H9a ].
% 1.08/1.30 cut (((op (e2) (e3)) = (e4)) = ((op (e2) (op (e2) (e4))) = (e4))).
% 1.08/1.30 intro zenon_D_pnotp.
% 1.08/1.30 apply zenon_H9b.
% 1.08/1.30 rewrite <- zenon_D_pnotp.
% 1.08/1.30 exact zenon_H23.
% 1.08/1.30 cut (((e4) = (e4))); [idtac | apply NNPP; zenon_intro zenon_H7].
% 1.08/1.30 cut (((op (e2) (e3)) = (op (e2) (op (e2) (e4))))); [idtac | apply NNPP; zenon_intro zenon_H9c].
% 1.08/1.30 congruence.
% 1.08/1.30 elim (classic ((op (e2) (op (e2) (e4))) = (op (e2) (op (e2) (e4))))); [ zenon_intro zenon_H9d | zenon_intro zenon_H9e ].
% 1.08/1.30 cut (((op (e2) (op (e2) (e4))) = (op (e2) (op (e2) (e4)))) = ((op (e2) (e3)) = (op (e2) (op (e2) (e4))))).
% 1.08/1.30 intro zenon_D_pnotp.
% 1.08/1.30 apply zenon_H9c.
% 1.08/1.30 rewrite <- zenon_D_pnotp.
% 1.08/1.30 exact zenon_H9d.
% 1.08/1.30 cut (((op (e2) (op (e2) (e4))) = (op (e2) (op (e2) (e4))))); [idtac | apply NNPP; zenon_intro zenon_H9e].
% 1.08/1.30 cut (((op (e2) (op (e2) (e4))) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H9f].
% 1.08/1.30 congruence.
% 1.08/1.30 cut (((op (e2) (e4)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_Ha0].
% 1.08/1.30 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H5].
% 1.08/1.30 congruence.
% 1.08/1.30 apply zenon_H5. apply refl_equal.
% 1.08/1.30 exact (zenon_Ha0 zenon_H25).
% 1.08/1.30 apply zenon_H9e. apply refl_equal.
% 1.08/1.30 apply zenon_H9e. apply refl_equal.
% 1.08/1.30 apply zenon_H7. apply refl_equal.
% 1.08/1.30 apply (zenon_notand_s _ _ zenon_H9a); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Ha1 ].
% 1.08/1.30 cut (((op (e3) (e2)) = (e0)) = ((op (e3) (op (e3) (e0))) = (e0))).
% 1.08/1.30 intro zenon_D_pnotp.
% 1.08/1.30 apply zenon_Ha2.
% 1.08/1.30 rewrite <- zenon_D_pnotp.
% 1.08/1.30 exact zenon_H2b.
% 1.08/1.30 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H3].
% 1.08/1.30 cut (((op (e3) (e2)) = (op (e3) (op (e3) (e0))))); [idtac | apply NNPP; zenon_intro zenon_Ha3].
% 1.08/1.30 congruence.
% 1.08/1.30 elim (classic ((op (e3) (op (e3) (e0))) = (op (e3) (op (e3) (e0))))); [ zenon_intro zenon_Ha4 | zenon_intro zenon_Ha5 ].
% 1.08/1.30 cut (((op (e3) (op (e3) (e0))) = (op (e3) (op (e3) (e0)))) = ((op (e3) (e2)) = (op (e3) (op (e3) (e0))))).
% 1.08/1.30 intro zenon_D_pnotp.
% 1.08/1.30 apply zenon_Ha3.
% 1.08/1.30 rewrite <- zenon_D_pnotp.
% 1.08/1.30 exact zenon_Ha4.
% 1.08/1.30 cut (((op (e3) (op (e3) (e0))) = (op (e3) (op (e3) (e0))))); [idtac | apply NNPP; zenon_intro zenon_Ha5].
% 1.08/1.30 cut (((op (e3) (op (e3) (e0))) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Ha6].
% 1.08/1.30 congruence.
% 1.08/1.30 cut (((op (e3) (e0)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_Ha7].
% 1.08/1.30 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H6].
% 1.08/1.30 congruence.
% 1.08/1.30 apply zenon_H6. apply refl_equal.
% 1.08/1.30 exact (zenon_Ha7 zenon_H27).
% 1.08/1.30 apply zenon_Ha5. apply refl_equal.
% 1.08/1.30 apply zenon_Ha5. apply refl_equal.
% 1.08/1.30 apply zenon_H3. apply refl_equal.
% 1.08/1.30 apply (zenon_notand_s _ _ zenon_Ha1); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Ha8 ].
% 1.08/1.30 cut (((op (e3) (e4)) = (e1)) = ((op (e3) (op (e3) (e1))) = (e1))).
% 1.08/1.30 intro zenon_D_pnotp.
% 1.08/1.30 apply zenon_Ha9.
% 1.08/1.30 rewrite <- zenon_D_pnotp.
% 1.08/1.30 exact zenon_H2f.
% 1.08/1.30 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H4].
% 1.08/1.30 cut (((op (e3) (e4)) = (op (e3) (op (e3) (e1))))); [idtac | apply NNPP; zenon_intro zenon_Haa].
% 1.08/1.30 congruence.
% 1.08/1.30 elim (classic ((op (e3) (op (e3) (e1))) = (op (e3) (op (e3) (e1))))); [ zenon_intro zenon_Hab | zenon_intro zenon_Hac ].
% 1.08/1.30 cut (((op (e3) (op (e3) (e1))) = (op (e3) (op (e3) (e1)))) = ((op (e3) (e4)) = (op (e3) (op (e3) (e1))))).
% 1.08/1.30 intro zenon_D_pnotp.
% 1.08/1.30 apply zenon_Haa.
% 1.08/1.30 rewrite <- zenon_D_pnotp.
% 1.08/1.30 exact zenon_Hab.
% 1.08/1.30 cut (((op (e3) (op (e3) (e1))) = (op (e3) (op (e3) (e1))))); [idtac | apply NNPP; zenon_intro zenon_Hac].
% 1.08/1.30 cut (((op (e3) (op (e3) (e1))) = (op (e3) (e4)))); [idtac | apply NNPP; zenon_intro zenon_Had].
% 1.08/1.30 congruence.
% 1.08/1.30 cut (((op (e3) (e1)) = (e4))); [idtac | apply NNPP; zenon_intro zenon_Hae].
% 1.08/1.30 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H6].
% 1.08/1.30 congruence.
% 1.08/1.30 apply zenon_H6. apply refl_equal.
% 1.08/1.30 exact (zenon_Hae zenon_H29).
% 1.08/1.30 apply zenon_Hac. apply refl_equal.
% 1.08/1.30 apply zenon_Hac. apply refl_equal.
% 1.08/1.30 apply zenon_H4. apply refl_equal.
% 1.08/1.30 apply (zenon_notand_s _ _ zenon_Ha8); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Haf ].
% 1.08/1.30 cut (((op (e3) (e0)) = (e2)) = ((op (e3) (op (e3) (e2))) = (e2))).
% 1.08/1.30 intro zenon_D_pnotp.
% 1.08/1.30 apply zenon_Hb0.
% 1.08/1.30 rewrite <- zenon_D_pnotp.
% 1.08/1.30 exact zenon_H27.
% 1.08/1.30 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H5].
% 1.08/1.30 cut (((op (e3) (e0)) = (op (e3) (op (e3) (e2))))); [idtac | apply NNPP; zenon_intro zenon_Hb1].
% 1.08/1.30 congruence.
% 1.08/1.30 elim (classic ((op (e3) (op (e3) (e2))) = (op (e3) (op (e3) (e2))))); [ zenon_intro zenon_Hb2 | zenon_intro zenon_Hb3 ].
% 1.08/1.30 cut (((op (e3) (op (e3) (e2))) = (op (e3) (op (e3) (e2)))) = ((op (e3) (e0)) = (op (e3) (op (e3) (e2))))).
% 1.08/1.30 intro zenon_D_pnotp.
% 1.08/1.30 apply zenon_Hb1.
% 1.08/1.30 rewrite <- zenon_D_pnotp.
% 1.08/1.30 exact zenon_Hb2.
% 1.08/1.30 cut (((op (e3) (op (e3) (e2))) = (op (e3) (op (e3) (e2))))); [idtac | apply NNPP; zenon_intro zenon_Hb3].
% 1.08/1.30 cut (((op (e3) (op (e3) (e2))) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hb4].
% 1.08/1.30 congruence.
% 1.08/1.30 cut (((op (e3) (e2)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_Hb5].
% 1.08/1.30 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H6].
% 1.08/1.30 congruence.
% 1.08/1.30 apply zenon_H6. apply refl_equal.
% 1.08/1.30 exact (zenon_Hb5 zenon_H2b).
% 1.08/1.30 apply zenon_Hb3. apply refl_equal.
% 1.08/1.30 apply zenon_Hb3. apply refl_equal.
% 1.08/1.30 apply zenon_H5. apply refl_equal.
% 1.08/1.30 apply (zenon_notand_s _ _ zenon_Haf); [ zenon_intro zenon_Hb7 | zenon_intro zenon_Hb6 ].
% 1.08/1.30 cut (((op (e3) (e3)) = (e3)) = ((op (e3) (op (e3) (e3))) = (e3))).
% 1.08/1.30 intro zenon_D_pnotp.
% 1.08/1.30 apply zenon_Hb7.
% 1.08/1.30 rewrite <- zenon_D_pnotp.
% 1.08/1.30 exact zenon_H2d.
% 1.08/1.30 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H6].
% 1.08/1.30 cut (((op (e3) (e3)) = (op (e3) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_Hb8].
% 1.08/1.30 congruence.
% 1.08/1.30 elim (classic ((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3))))); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hba ].
% 1.08/1.30 cut (((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3)))) = ((op (e3) (e3)) = (op (e3) (op (e3) (e3))))).
% 1.08/1.30 intro zenon_D_pnotp.
% 1.08/1.30 apply zenon_Hb8.
% 1.08/1.30 rewrite <- zenon_D_pnotp.
% 1.08/1.30 exact zenon_Hb9.
% 1.08/1.30 cut (((op (e3) (op (e3) (e3))) = (op (e3) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_Hba].
% 1.08/1.30 cut (((op (e3) (op (e3) (e3))) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Hbb].
% 1.08/1.30 congruence.
% 1.08/1.30 cut (((op (e3) (e3)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_Hbc].
% 1.08/1.30 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H6].
% 1.08/1.30 congruence.
% 1.08/1.30 apply zenon_H6. apply refl_equal.
% 1.08/1.30 exact (zenon_Hbc zenon_H2d).
% 1.08/1.30 apply zenon_Hba. apply refl_equal.
% 1.08/1.30 apply zenon_Hba. apply refl_equal.
% 1.08/1.30 apply zenon_H6. apply refl_equal.
% 1.08/1.30 apply (zenon_notand_s _ _ zenon_Hb6); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hbd ].
% 1.08/1.30 cut (((op (e3) (e1)) = (e4)) = ((op (e3) (op (e3) (e4))) = (e4))).
% 1.08/1.30 intro zenon_D_pnotp.
% 1.08/1.30 apply zenon_Hbe.
% 1.08/1.30 rewrite <- zenon_D_pnotp.
% 1.08/1.30 exact zenon_H29.
% 1.08/1.30 cut (((e4) = (e4))); [idtac | apply NNPP; zenon_intro zenon_H7].
% 1.08/1.30 cut (((op (e3) (e1)) = (op (e3) (op (e3) (e4))))); [idtac | apply NNPP; zenon_intro zenon_Hbf].
% 1.08/1.30 congruence.
% 1.08/1.30 elim (classic ((op (e3) (op (e3) (e4))) = (op (e3) (op (e3) (e4))))); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hc1 ].
% 1.08/1.30 cut (((op (e3) (op (e3) (e4))) = (op (e3) (op (e3) (e4)))) = ((op (e3) (e1)) = (op (e3) (op (e3) (e4))))).
% 1.08/1.30 intro zenon_D_pnotp.
% 1.08/1.30 apply zenon_Hbf.
% 1.08/1.30 rewrite <- zenon_D_pnotp.
% 1.08/1.30 exact zenon_Hc0.
% 1.08/1.30 cut (((op (e3) (op (e3) (e4))) = (op (e3) (op (e3) (e4))))); [idtac | apply NNPP; zenon_intro zenon_Hc1].
% 1.08/1.30 cut (((op (e3) (op (e3) (e4))) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Hc2].
% 1.08/1.30 congruence.
% 1.08/1.30 cut (((op (e3) (e4)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_Hc3].
% 1.08/1.30 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H6].
% 1.08/1.30 congruence.
% 1.08/1.30 apply zenon_H6. apply refl_equal.
% 1.08/1.30 exact (zenon_Hc3 zenon_H2f).
% 1.08/1.30 apply zenon_Hc1. apply refl_equal.
% 1.08/1.30 apply zenon_Hc1. apply refl_equal.
% 1.08/1.30 apply zenon_H7. apply refl_equal.
% 1.08/1.30 apply (zenon_notand_s _ _ zenon_Hbd); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hc4 ].
% 1.08/1.30 cut (((op (e4) (e3)) = (e0)) = ((op (e4) (op (e4) (e0))) = (e0))).
% 1.08/1.30 intro zenon_D_pnotp.
% 1.08/1.30 apply zenon_Hc5.
% 1.08/1.30 rewrite <- zenon_D_pnotp.
% 1.08/1.30 exact zenon_H37.
% 1.08/1.30 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H3].
% 1.08/1.30 cut (((op (e4) (e3)) = (op (e4) (op (e4) (e0))))); [idtac | apply NNPP; zenon_intro zenon_Hc6].
% 1.08/1.30 congruence.
% 1.08/1.30 elim (classic ((op (e4) (op (e4) (e0))) = (op (e4) (op (e4) (e0))))); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hc8 ].
% 1.08/1.30 cut (((op (e4) (op (e4) (e0))) = (op (e4) (op (e4) (e0)))) = ((op (e4) (e3)) = (op (e4) (op (e4) (e0))))).
% 1.08/1.30 intro zenon_D_pnotp.
% 1.08/1.30 apply zenon_Hc6.
% 1.08/1.30 rewrite <- zenon_D_pnotp.
% 1.08/1.30 exact zenon_Hc7.
% 1.08/1.30 cut (((op (e4) (op (e4) (e0))) = (op (e4) (op (e4) (e0))))); [idtac | apply NNPP; zenon_intro zenon_Hc8].
% 1.08/1.30 cut (((op (e4) (op (e4) (e0))) = (op (e4) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Hc9].
% 1.08/1.30 congruence.
% 1.08/1.30 cut (((op (e4) (e0)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_Hca].
% 1.08/1.30 cut (((e4) = (e4))); [idtac | apply NNPP; zenon_intro zenon_H7].
% 1.08/1.30 congruence.
% 1.08/1.30 apply zenon_H7. apply refl_equal.
% 1.08/1.30 exact (zenon_Hca zenon_H31).
% 1.08/1.30 apply zenon_Hc8. apply refl_equal.
% 1.08/1.30 apply zenon_Hc8. apply refl_equal.
% 1.08/1.30 apply zenon_H3. apply refl_equal.
% 1.08/1.30 apply (zenon_notand_s _ _ zenon_Hc4); [ zenon_intro zenon_Hcc | zenon_intro zenon_Hcb ].
% 1.08/1.30 cut (((op (e4) (e2)) = (e1)) = ((op (e4) (op (e4) (e1))) = (e1))).
% 1.08/1.30 intro zenon_D_pnotp.
% 1.08/1.30 apply zenon_Hcc.
% 1.08/1.30 rewrite <- zenon_D_pnotp.
% 1.08/1.30 exact zenon_H35.
% 1.08/1.30 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H4].
% 1.08/1.30 cut (((op (e4) (e2)) = (op (e4) (op (e4) (e1))))); [idtac | apply NNPP; zenon_intro zenon_Hcd].
% 1.08/1.30 congruence.
% 1.08/1.30 elim (classic ((op (e4) (op (e4) (e1))) = (op (e4) (op (e4) (e1))))); [ zenon_intro zenon_Hce | zenon_intro zenon_Hcf ].
% 1.08/1.30 cut (((op (e4) (op (e4) (e1))) = (op (e4) (op (e4) (e1)))) = ((op (e4) (e2)) = (op (e4) (op (e4) (e1))))).
% 1.08/1.30 intro zenon_D_pnotp.
% 1.08/1.30 apply zenon_Hcd.
% 1.08/1.30 rewrite <- zenon_D_pnotp.
% 1.08/1.30 exact zenon_Hce.
% 1.08/1.30 cut (((op (e4) (op (e4) (e1))) = (op (e4) (op (e4) (e1))))); [idtac | apply NNPP; zenon_intro zenon_Hcf].
% 1.08/1.30 cut (((op (e4) (op (e4) (e1))) = (op (e4) (e2)))); [idtac | apply NNPP; zenon_intro zenon_Hd0].
% 1.08/1.30 congruence.
% 1.08/1.30 cut (((op (e4) (e1)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_Hd1].
% 1.08/1.30 cut (((e4) = (e4))); [idtac | apply NNPP; zenon_intro zenon_H7].
% 1.08/1.30 congruence.
% 1.08/1.30 apply zenon_H7. apply refl_equal.
% 1.08/1.30 exact (zenon_Hd1 zenon_H33).
% 1.08/1.30 apply zenon_Hcf. apply refl_equal.
% 1.08/1.30 apply zenon_Hcf. apply refl_equal.
% 1.08/1.30 apply zenon_H4. apply refl_equal.
% 1.08/1.30 apply (zenon_notand_s _ _ zenon_Hcb); [ zenon_intro zenon_Hd3 | zenon_intro zenon_Hd2 ].
% 1.08/1.30 cut (((op (e4) (e1)) = (e2)) = ((op (e4) (op (e4) (e2))) = (e2))).
% 1.08/1.30 intro zenon_D_pnotp.
% 1.08/1.30 apply zenon_Hd3.
% 1.08/1.30 rewrite <- zenon_D_pnotp.
% 1.08/1.30 exact zenon_H33.
% 1.08/1.30 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H5].
% 1.08/1.30 cut (((op (e4) (e1)) = (op (e4) (op (e4) (e2))))); [idtac | apply NNPP; zenon_intro zenon_Hd4].
% 1.08/1.30 congruence.
% 1.08/1.30 elim (classic ((op (e4) (op (e4) (e2))) = (op (e4) (op (e4) (e2))))); [ zenon_intro zenon_Hd5 | zenon_intro zenon_Hd6 ].
% 1.08/1.30 cut (((op (e4) (op (e4) (e2))) = (op (e4) (op (e4) (e2)))) = ((op (e4) (e1)) = (op (e4) (op (e4) (e2))))).
% 1.08/1.30 intro zenon_D_pnotp.
% 1.08/1.30 apply zenon_Hd4.
% 1.08/1.30 rewrite <- zenon_D_pnotp.
% 1.08/1.30 exact zenon_Hd5.
% 1.08/1.30 cut (((op (e4) (op (e4) (e2))) = (op (e4) (op (e4) (e2))))); [idtac | apply NNPP; zenon_intro zenon_Hd6].
% 1.08/1.30 cut (((op (e4) (op (e4) (e2))) = (op (e4) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Hd7].
% 1.08/1.30 congruence.
% 1.08/1.30 cut (((op (e4) (e2)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_Hd8].
% 1.08/1.30 cut (((e4) = (e4))); [idtac | apply NNPP; zenon_intro zenon_H7].
% 1.08/1.30 congruence.
% 1.08/1.30 apply zenon_H7. apply refl_equal.
% 1.08/1.30 exact (zenon_Hd8 zenon_H35).
% 1.08/1.30 apply zenon_Hd6. apply refl_equal.
% 1.08/1.30 apply zenon_Hd6. apply refl_equal.
% 1.08/1.30 apply zenon_H5. apply refl_equal.
% 1.08/1.30 apply (zenon_notand_s _ _ zenon_Hd2); [ zenon_intro zenon_Hda | zenon_intro zenon_Hd9 ].
% 1.08/1.30 cut (((op (e4) (e0)) = (e3)) = ((op (e4) (op (e4) (e3))) = (e3))).
% 1.08/1.30 intro zenon_D_pnotp.
% 1.08/1.30 apply zenon_Hda.
% 1.08/1.30 rewrite <- zenon_D_pnotp.
% 1.08/1.30 exact zenon_H31.
% 1.08/1.30 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H6].
% 1.08/1.30 cut (((op (e4) (e0)) = (op (e4) (op (e4) (e3))))); [idtac | apply NNPP; zenon_intro zenon_Hdb].
% 1.08/1.30 congruence.
% 1.08/1.30 elim (classic ((op (e4) (op (e4) (e3))) = (op (e4) (op (e4) (e3))))); [ zenon_intro zenon_Hdc | zenon_intro zenon_Hdd ].
% 1.08/1.30 cut (((op (e4) (op (e4) (e3))) = (op (e4) (op (e4) (e3)))) = ((op (e4) (e0)) = (op (e4) (op (e4) (e3))))).
% 1.08/1.30 intro zenon_D_pnotp.
% 1.08/1.30 apply zenon_Hdb.
% 1.08/1.30 rewrite <- zenon_D_pnotp.
% 1.08/1.30 exact zenon_Hdc.
% 1.08/1.30 cut (((op (e4) (op (e4) (e3))) = (op (e4) (op (e4) (e3))))); [idtac | apply NNPP; zenon_intro zenon_Hdd].
% 1.08/1.30 cut (((op (e4) (op (e4) (e3))) = (op (e4) (e0)))); [idtac | apply NNPP; zenon_intro zenon_Hde].
% 1.08/1.30 congruence.
% 1.08/1.30 cut (((op (e4) (e3)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_Hdf].
% 1.08/1.30 cut (((e4) = (e4))); [idtac | apply NNPP; zenon_intro zenon_H7].
% 1.08/1.30 congruence.
% 1.08/1.30 apply zenon_H7. apply refl_equal.
% 1.08/1.30 exact (zenon_Hdf zenon_H37).
% 1.08/1.30 apply zenon_Hdd. apply refl_equal.
% 1.08/1.30 apply zenon_Hdd. apply refl_equal.
% 1.08/1.30 apply zenon_H6. apply refl_equal.
% 1.08/1.30 apply (zenon_notand_s _ _ zenon_Hd9); [ zenon_intro zenon_He1 | zenon_intro zenon_He0 ].
% 1.08/1.30 cut (((op (e4) (e4)) = (e4)) = ((op (e4) (op (e4) (e4))) = (e4))).
% 1.08/1.30 intro zenon_D_pnotp.
% 1.08/1.30 apply zenon_He1.
% 1.08/1.30 rewrite <- zenon_D_pnotp.
% 1.08/1.30 exact zenon_H36.
% 1.08/1.30 cut (((e4) = (e4))); [idtac | apply NNPP; zenon_intro zenon_H7].
% 1.08/1.30 cut (((op (e4) (e4)) = (op (e4) (op (e4) (e4))))); [idtac | apply NNPP; zenon_intro zenon_He2].
% 1.08/1.30 congruence.
% 1.08/1.30 elim (classic ((op (e4) (op (e4) (e4))) = (op (e4) (op (e4) (e4))))); [ zenon_intro zenon_He3 | zenon_intro zenon_He4 ].
% 1.08/1.30 cut (((op (e4) (op (e4) (e4))) = (op (e4) (op (e4) (e4)))) = ((op (e4) (e4)) = (op (e4) (op (e4) (e4))))).
% 1.08/1.30 intro zenon_D_pnotp.
% 1.08/1.30 apply zenon_He2.
% 1.08/1.30 rewrite <- zenon_D_pnotp.
% 1.08/1.30 exact zenon_He3.
% 1.08/1.30 cut (((op (e4) (op (e4) (e4))) = (op (e4) (op (e4) (e4))))); [idtac | apply NNPP; zenon_intro zenon_He4].
% 1.08/1.30 cut (((op (e4) (op (e4) (e4))) = (op (e4) (e4)))); [idtac | apply NNPP; zenon_intro zenon_He5].
% 1.08/1.30 congruence.
% 1.08/1.30 cut (((op (e4) (e4)) = (e4))); [idtac | apply NNPP; zenon_intro zenon_He6].
% 1.08/1.30 cut (((e4) = (e4))); [idtac | apply NNPP; zenon_intro zenon_H7].
% 1.08/1.30 congruence.
% 1.08/1.30 apply zenon_H7. apply refl_equal.
% 1.08/1.30 exact (zenon_He6 zenon_H36).
% 1.08/1.30 apply zenon_He4. apply refl_equal.
% 1.08/1.30 apply zenon_He4. apply refl_equal.
% 1.08/1.30 apply zenon_H7. apply refl_equal.
% 1.08/1.30 apply (zenon_notand_s _ _ zenon_He0); [ zenon_intro zenon_He8 | zenon_intro zenon_He7 ].
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_He8). zenon_intro zenon_H3e. zenon_intro zenon_He9.
% 1.08/1.30 exact (zenon_H3e zenon_H9).
% 1.08/1.30 apply (zenon_notand_s _ _ zenon_He7); [ zenon_intro zenon_Heb | zenon_intro zenon_Hea ].
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_Heb). zenon_intro zenon_Hed. zenon_intro zenon_Hec.
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_Hec). zenon_intro zenon_Hef. zenon_intro zenon_Hee.
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_Hee). zenon_intro zenon_Hf1. zenon_intro zenon_Hf0.
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_Hf0). zenon_intro zenon_H45. zenon_intro zenon_Hf2.
% 1.08/1.30 exact (zenon_H45 zenon_Hb).
% 1.08/1.30 apply (zenon_notand_s _ _ zenon_Hea); [ zenon_intro zenon_Hf4 | zenon_intro zenon_Hf3 ].
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_Hf4). zenon_intro zenon_Hf6. zenon_intro zenon_Hf5.
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_Hf5). zenon_intro zenon_Hf8. zenon_intro zenon_Hf7.
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_Hf7). zenon_intro zenon_Hfa. zenon_intro zenon_Hf9.
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_Hf9). zenon_intro zenon_Hfb. zenon_intro zenon_H4c.
% 1.08/1.30 exact (zenon_H4c zenon_Hd).
% 1.08/1.30 apply (zenon_notand_s _ _ zenon_Hf3); [ zenon_intro zenon_Hfd | zenon_intro zenon_Hfc ].
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_Hfd). zenon_intro zenon_Hff. zenon_intro zenon_Hfe.
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_Hfe). zenon_intro zenon_H53. zenon_intro zenon_H100.
% 1.08/1.30 exact (zenon_H53 zenon_Hf).
% 1.08/1.30 apply (zenon_notand_s _ _ zenon_Hfc); [ zenon_intro zenon_H102 | zenon_intro zenon_H101 ].
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H102). zenon_intro zenon_H104. zenon_intro zenon_H103.
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H103). zenon_intro zenon_H106. zenon_intro zenon_H105.
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H105). zenon_intro zenon_H5a. zenon_intro zenon_H107.
% 1.08/1.30 exact (zenon_H5a zenon_H11).
% 1.08/1.30 apply (zenon_notand_s _ _ zenon_H101); [ zenon_intro zenon_H109 | zenon_intro zenon_H108 ].
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H109). zenon_intro zenon_H10b. zenon_intro zenon_H10a.
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H10a). zenon_intro zenon_H10d. zenon_intro zenon_H10c.
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H10c). zenon_intro zenon_H10f. zenon_intro zenon_H10e.
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H10e). zenon_intro zenon_H110. zenon_intro zenon_H61.
% 1.08/1.30 exact (zenon_H61 zenon_H13).
% 1.08/1.30 apply (zenon_notand_s _ _ zenon_H108); [ zenon_intro zenon_H112 | zenon_intro zenon_H111 ].
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H112). zenon_intro zenon_H114. zenon_intro zenon_H113.
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H113). zenon_intro zenon_H68. zenon_intro zenon_H115.
% 1.08/1.30 exact (zenon_H68 zenon_H15).
% 1.08/1.30 apply (zenon_notand_s _ _ zenon_H111); [ zenon_intro zenon_H117 | zenon_intro zenon_H116 ].
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H117). zenon_intro zenon_H119. zenon_intro zenon_H118.
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H118). zenon_intro zenon_H11b. zenon_intro zenon_H11a.
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H11a). zenon_intro zenon_H11d. zenon_intro zenon_H11c.
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H11c). zenon_intro zenon_H6f. zenon_intro zenon_H11e.
% 1.08/1.30 exact (zenon_H6f zenon_H17).
% 1.08/1.30 apply (zenon_notand_s _ _ zenon_H116); [ zenon_intro zenon_H120 | zenon_intro zenon_H11f ].
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H120). zenon_intro zenon_H122. zenon_intro zenon_H121.
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H121). zenon_intro zenon_H124. zenon_intro zenon_H123.
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H123). zenon_intro zenon_H76. zenon_intro zenon_H125.
% 1.08/1.30 exact (zenon_H76 zenon_H19).
% 1.08/1.30 apply (zenon_notand_s _ _ zenon_H11f); [ zenon_intro zenon_H127 | zenon_intro zenon_H126 ].
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H127). zenon_intro zenon_H7d. zenon_intro zenon_H128.
% 1.08/1.30 exact (zenon_H7d zenon_H1b).
% 1.08/1.30 apply (zenon_notand_s _ _ zenon_H126); [ zenon_intro zenon_H12a | zenon_intro zenon_H129 ].
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H12a). zenon_intro zenon_H12c. zenon_intro zenon_H12b.
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H12b). zenon_intro zenon_H84. zenon_intro zenon_H12d.
% 1.08/1.30 exact (zenon_H84 zenon_H1d).
% 1.08/1.30 apply (zenon_notand_s _ _ zenon_H129); [ zenon_intro zenon_H12f | zenon_intro zenon_H12e ].
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H12f). zenon_intro zenon_H8b. zenon_intro zenon_H130.
% 1.08/1.30 exact (zenon_H8b zenon_H1f).
% 1.08/1.30 apply (zenon_notand_s _ _ zenon_H12e); [ zenon_intro zenon_H132 | zenon_intro zenon_H131 ].
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H132). zenon_intro zenon_H134. zenon_intro zenon_H133.
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H133). zenon_intro zenon_H136. zenon_intro zenon_H135.
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H135). zenon_intro zenon_H92. zenon_intro zenon_H137.
% 1.08/1.30 exact (zenon_H92 zenon_H21).
% 1.08/1.30 apply (zenon_notand_s _ _ zenon_H131); [ zenon_intro zenon_H139 | zenon_intro zenon_H138 ].
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H139). zenon_intro zenon_H13b. zenon_intro zenon_H13a.
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H13a). zenon_intro zenon_H13d. zenon_intro zenon_H13c.
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H13c). zenon_intro zenon_H13f. zenon_intro zenon_H13e.
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H13e). zenon_intro zenon_H140. zenon_intro zenon_H99.
% 1.08/1.30 exact (zenon_H99 zenon_H23).
% 1.08/1.30 apply (zenon_notand_s _ _ zenon_H138); [ zenon_intro zenon_H142 | zenon_intro zenon_H141 ].
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H142). zenon_intro zenon_H144. zenon_intro zenon_H143.
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H143). zenon_intro zenon_H146. zenon_intro zenon_H145.
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H145). zenon_intro zenon_H148. zenon_intro zenon_H147.
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H147). zenon_intro zenon_Ha0. zenon_intro zenon_H149.
% 1.08/1.30 exact (zenon_Ha0 zenon_H25).
% 1.08/1.30 apply (zenon_notand_s _ _ zenon_H141); [ zenon_intro zenon_H14b | zenon_intro zenon_H14a ].
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H14b). zenon_intro zenon_H14d. zenon_intro zenon_H14c.
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H14c). zenon_intro zenon_H14f. zenon_intro zenon_H14e.
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H14e). zenon_intro zenon_Ha7. zenon_intro zenon_H150.
% 1.08/1.30 exact (zenon_Ha7 zenon_H27).
% 1.08/1.30 apply (zenon_notand_s _ _ zenon_H14a); [ zenon_intro zenon_H152 | zenon_intro zenon_H151 ].
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H152). zenon_intro zenon_H154. zenon_intro zenon_H153.
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H153). zenon_intro zenon_H156. zenon_intro zenon_H155.
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H155). zenon_intro zenon_H158. zenon_intro zenon_H157.
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H157). zenon_intro zenon_H159. zenon_intro zenon_Hae.
% 1.08/1.30 exact (zenon_Hae zenon_H29).
% 1.08/1.30 apply (zenon_notand_s _ _ zenon_H151); [ zenon_intro zenon_H15b | zenon_intro zenon_H15a ].
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H15b). zenon_intro zenon_Hb5. zenon_intro zenon_H15c.
% 1.08/1.30 exact (zenon_Hb5 zenon_H2b).
% 1.08/1.30 apply (zenon_notand_s _ _ zenon_H15a); [ zenon_intro zenon_H15e | zenon_intro zenon_H15d ].
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H15e). zenon_intro zenon_H160. zenon_intro zenon_H15f.
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H15f). zenon_intro zenon_H162. zenon_intro zenon_H161.
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H161). zenon_intro zenon_H164. zenon_intro zenon_H163.
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H163). zenon_intro zenon_Hbc. zenon_intro zenon_H165.
% 1.08/1.30 exact (zenon_Hbc zenon_H2d).
% 1.08/1.30 apply (zenon_notand_s _ _ zenon_H15d); [ zenon_intro zenon_H167 | zenon_intro zenon_H166 ].
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H167). zenon_intro zenon_H169. zenon_intro zenon_H168.
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H168). zenon_intro zenon_Hc3. zenon_intro zenon_H16a.
% 1.08/1.30 exact (zenon_Hc3 zenon_H2f).
% 1.08/1.30 apply (zenon_notand_s _ _ zenon_H166); [ zenon_intro zenon_H16c | zenon_intro zenon_H16b ].
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H16c). zenon_intro zenon_H16e. zenon_intro zenon_H16d.
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H16d). zenon_intro zenon_H170. zenon_intro zenon_H16f.
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H16f). zenon_intro zenon_H172. zenon_intro zenon_H171.
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H171). zenon_intro zenon_Hca. zenon_intro zenon_H173.
% 1.08/1.30 exact (zenon_Hca zenon_H31).
% 1.08/1.30 apply (zenon_notand_s _ _ zenon_H16b); [ zenon_intro zenon_H175 | zenon_intro zenon_H174 ].
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H175). zenon_intro zenon_H177. zenon_intro zenon_H176.
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H176). zenon_intro zenon_H179. zenon_intro zenon_H178.
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H178). zenon_intro zenon_Hd1. zenon_intro zenon_H17a.
% 1.08/1.30 exact (zenon_Hd1 zenon_H33).
% 1.08/1.30 apply (zenon_notand_s _ _ zenon_H174); [ zenon_intro zenon_H17c | zenon_intro zenon_H17b ].
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H17c). zenon_intro zenon_H17e. zenon_intro zenon_H17d.
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H17d). zenon_intro zenon_Hd8. zenon_intro zenon_H17f.
% 1.08/1.30 exact (zenon_Hd8 zenon_H35).
% 1.08/1.30 apply (zenon_notand_s _ _ zenon_H17b); [ zenon_intro zenon_H181 | zenon_intro zenon_H180 ].
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H181). zenon_intro zenon_Hdf. zenon_intro zenon_H182.
% 1.08/1.30 exact (zenon_Hdf zenon_H37).
% 1.08/1.30 apply (zenon_notand_s _ _ zenon_H180); [ zenon_intro zenon_H184 | zenon_intro zenon_H183 ].
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H184). zenon_intro zenon_H186. zenon_intro zenon_H185.
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H185). zenon_intro zenon_H188. zenon_intro zenon_H187.
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H187). zenon_intro zenon_H18a. zenon_intro zenon_H189.
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H189). zenon_intro zenon_H18b. zenon_intro zenon_He6.
% 1.08/1.30 exact (zenon_He6 zenon_H36).
% 1.08/1.30 apply (zenon_notand_s _ _ zenon_H183); [ zenon_intro zenon_H18d | zenon_intro zenon_H18c ].
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H18d). zenon_intro zenon_H3e. zenon_intro zenon_H18e.
% 1.08/1.30 exact (zenon_H3e zenon_H9).
% 1.08/1.30 apply (zenon_notand_s _ _ zenon_H18c); [ zenon_intro zenon_H190 | zenon_intro zenon_H18f ].
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H190). zenon_intro zenon_H3e. zenon_intro zenon_H191.
% 1.08/1.30 exact (zenon_H3e zenon_H9).
% 1.08/1.30 apply (zenon_notand_s _ _ zenon_H18f); [ zenon_intro zenon_H193 | zenon_intro zenon_H192 ].
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H193). zenon_intro zenon_H195. zenon_intro zenon_H194.
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H194). zenon_intro zenon_Hef. zenon_intro zenon_H196.
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H196). zenon_intro zenon_Hf8. zenon_intro zenon_H197.
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H197). zenon_intro zenon_H53. zenon_intro zenon_H106.
% 1.08/1.30 exact (zenon_H53 zenon_Hf).
% 1.08/1.30 apply (zenon_notand_s _ _ zenon_H192); [ zenon_intro zenon_H199 | zenon_intro zenon_H198 ].
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H199). zenon_intro zenon_H195. zenon_intro zenon_H19a.
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H19a). zenon_intro zenon_H10d. zenon_intro zenon_H19b.
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H19b). zenon_intro zenon_H84. zenon_intro zenon_H19c.
% 1.08/1.30 exact (zenon_H84 zenon_H1d).
% 1.08/1.30 apply (zenon_notand_s _ _ zenon_H198); [ zenon_intro zenon_H19e | zenon_intro zenon_H19d ].
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H19e). zenon_intro zenon_H1a0. zenon_intro zenon_H19f.
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H19f). zenon_intro zenon_Hf1. zenon_intro zenon_H1a1.
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H1a1). zenon_intro zenon_Hfa. zenon_intro zenon_H1a2.
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H1a2). zenon_intro zenon_H1a3. zenon_intro zenon_H5a.
% 1.08/1.30 exact (zenon_H5a zenon_H11).
% 1.08/1.30 apply (zenon_notand_s _ _ zenon_H19d); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H1a4 ].
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H1a5). zenon_intro zenon_H1a0. zenon_intro zenon_H1a6.
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H1a6). zenon_intro zenon_H10f. zenon_intro zenon_H1a7.
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H1a7). zenon_intro zenon_H1a9. zenon_intro zenon_H1a8.
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H1a8). zenon_intro zenon_Ha7. zenon_intro zenon_H172.
% 1.08/1.30 exact (zenon_Ha7 zenon_H27).
% 1.08/1.30 apply (zenon_notand_s _ _ zenon_H1a4); [ zenon_intro zenon_H1ab | zenon_intro zenon_H1aa ].
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H1ab). zenon_intro zenon_H1ad. zenon_intro zenon_H1ac.
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H1ac). zenon_intro zenon_H45. zenon_intro zenon_H1ae.
% 1.08/1.30 exact (zenon_H45 zenon_Hb).
% 1.08/1.30 apply (zenon_notand_s _ _ zenon_H1aa); [ zenon_intro zenon_H1b0 | zenon_intro zenon_H1af ].
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H1b0). zenon_intro zenon_H1ad. zenon_intro zenon_H1b1.
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H1b1). zenon_intro zenon_H110. zenon_intro zenon_H1b2.
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H1b2). zenon_intro zenon_H1b4. zenon_intro zenon_H1b3.
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H1b3). zenon_intro zenon_H1b5. zenon_intro zenon_Hca.
% 1.08/1.30 exact (zenon_Hca zenon_H31).
% 1.08/1.30 apply (zenon_notand_s _ _ zenon_H1af); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1b6 ].
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H1b7). zenon_intro zenon_H1b9. zenon_intro zenon_H1b8.
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H1b8). zenon_intro zenon_Hf2. zenon_intro zenon_H1ba.
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H1ba). zenon_intro zenon_H4c. zenon_intro zenon_H1bb.
% 1.08/1.30 exact (zenon_H4c zenon_Hd).
% 1.08/1.30 apply (zenon_notand_s _ _ zenon_H1b6); [ zenon_intro zenon_H1bd | zenon_intro zenon_H1bc ].
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H1bd). zenon_intro zenon_H1b9. zenon_intro zenon_H1be.
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H1be). zenon_intro zenon_H61. zenon_intro zenon_H1bf.
% 1.08/1.30 exact (zenon_H61 zenon_H13).
% 1.08/1.30 apply (zenon_notand_s _ _ zenon_H1bc); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1c0 ].
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H1c1). zenon_intro zenon_H10b. zenon_intro zenon_H1c2.
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H1c2). zenon_intro zenon_H114. zenon_intro zenon_H1c3.
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H1c3). zenon_intro zenon_H119. zenon_intro zenon_H1c4.
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H1c4). zenon_intro zenon_H122. zenon_intro zenon_H7d.
% 1.08/1.30 exact (zenon_H7d zenon_H1b).
% 1.08/1.30 apply (zenon_notand_s _ _ zenon_H1c0); [ zenon_intro zenon_H1c6 | zenon_intro zenon_H1c5 ].
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H1c6). zenon_intro zenon_Hed. zenon_intro zenon_H1c7.
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H1c7). zenon_intro zenon_H114. zenon_intro zenon_H1c8.
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H1c8). zenon_intro zenon_H8b. zenon_intro zenon_H1c9.
% 1.08/1.30 exact (zenon_H8b zenon_H1f).
% 1.08/1.30 apply (zenon_notand_s _ _ zenon_H1c5); [ zenon_intro zenon_H1cb | zenon_intro zenon_H1ca ].
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H1cb). zenon_intro zenon_H10d. zenon_intro zenon_H1cc.
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H1cc). zenon_intro zenon_H68. zenon_intro zenon_H1cd.
% 1.08/1.30 exact (zenon_H68 zenon_H15).
% 1.08/1.30 apply (zenon_notand_s _ _ zenon_H1ca); [ zenon_intro zenon_H1cf | zenon_intro zenon_H1ce ].
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H1cf). zenon_intro zenon_Hef. zenon_intro zenon_H1d0.
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H1d0). zenon_intro zenon_H68. zenon_intro zenon_H1d1.
% 1.08/1.30 exact (zenon_H68 zenon_H15).
% 1.08/1.30 apply (zenon_notand_s _ _ zenon_H1ce); [ zenon_intro zenon_H1d3 | zenon_intro zenon_H1d2 ].
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H1d3). zenon_intro zenon_H10f. zenon_intro zenon_H1d4.
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H1d4). zenon_intro zenon_H1d6. zenon_intro zenon_H1d5.
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H1d5). zenon_intro zenon_H11d. zenon_intro zenon_H1d7.
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H1d7). zenon_intro zenon_H76. zenon_intro zenon_H1d8.
% 1.08/1.30 exact (zenon_H76 zenon_H19).
% 1.08/1.30 apply (zenon_notand_s _ _ zenon_H1d2); [ zenon_intro zenon_H1da | zenon_intro zenon_H1d9 ].
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H1da). zenon_intro zenon_Hf1. zenon_intro zenon_H1db.
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H1db). zenon_intro zenon_H1d6. zenon_intro zenon_H1dc.
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H1dc). zenon_intro zenon_H1de. zenon_intro zenon_H1dd.
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H1dd). zenon_intro zenon_H158. zenon_intro zenon_Hd1.
% 1.08/1.30 exact (zenon_Hd1 zenon_H33).
% 1.08/1.30 apply (zenon_notand_s _ _ zenon_H1d9); [ zenon_intro zenon_H1e0 | zenon_intro zenon_H1df ].
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H1e0). zenon_intro zenon_H110. zenon_intro zenon_H1e1.
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H1e1). zenon_intro zenon_H1e3. zenon_intro zenon_H1e2.
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H1e2). zenon_intro zenon_H6f. zenon_intro zenon_H1e4.
% 1.08/1.30 exact (zenon_H6f zenon_H17).
% 1.08/1.30 apply (zenon_notand_s _ _ zenon_H1df); [ zenon_intro zenon_H1e6 | zenon_intro zenon_H1e5 ].
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H1e6). zenon_intro zenon_H45. zenon_intro zenon_H1e7.
% 1.08/1.30 exact (zenon_H45 zenon_Hb).
% 1.08/1.30 apply (zenon_notand_s _ _ zenon_H1e5); [ zenon_intro zenon_H1e9 | zenon_intro zenon_H1e8 ].
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H1e9). zenon_intro zenon_H61. zenon_intro zenon_H1ea.
% 1.08/1.30 exact (zenon_H61 zenon_H13).
% 1.08/1.30 apply (zenon_notand_s _ _ zenon_H1e8); [ zenon_intro zenon_H1ec | zenon_intro zenon_H1eb ].
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H1ec). zenon_intro zenon_Hf2. zenon_intro zenon_H1ed.
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H1ed). zenon_intro zenon_H1ef. zenon_intro zenon_H1ee.
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H1ee). zenon_intro zenon_H1f1. zenon_intro zenon_H1f0.
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H1f0). zenon_intro zenon_Hae. zenon_intro zenon_H1f2.
% 1.08/1.30 exact (zenon_Hae zenon_H29).
% 1.08/1.30 apply (zenon_notand_s _ _ zenon_H1eb); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H1f3 ].
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H1f4). zenon_intro zenon_H12c. zenon_intro zenon_H1f5.
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H1f5). zenon_intro zenon_H8b. zenon_intro zenon_H1f6.
% 1.08/1.30 exact (zenon_H8b zenon_H1f).
% 1.08/1.30 apply (zenon_notand_s _ _ zenon_H1f3); [ zenon_intro zenon_H1f8 | zenon_intro zenon_H1f7 ].
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H1f8). zenon_intro zenon_Hf6. zenon_intro zenon_H1f9.
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H1f9). zenon_intro zenon_H119. zenon_intro zenon_H1fa.
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H1fa). zenon_intro zenon_H134. zenon_intro zenon_H1fb.
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H1fb). zenon_intro zenon_Hb5. zenon_intro zenon_H17e.
% 1.08/1.30 exact (zenon_Hb5 zenon_H2b).
% 1.08/1.30 apply (zenon_notand_s _ _ zenon_H1f7); [ zenon_intro zenon_H1fd | zenon_intro zenon_H1fc ].
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H1fd). zenon_intro zenon_H84. zenon_intro zenon_H1fe.
% 1.08/1.30 exact (zenon_H84 zenon_H1d).
% 1.08/1.30 apply (zenon_notand_s _ _ zenon_H1fc); [ zenon_intro zenon_H200 | zenon_intro zenon_H1ff ].
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H200). zenon_intro zenon_Hf8. zenon_intro zenon_H201.
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H201). zenon_intro zenon_H11b. zenon_intro zenon_H202.
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H202). zenon_intro zenon_H136. zenon_intro zenon_H203.
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H203). zenon_intro zenon_H204. zenon_intro zenon_Hd8.
% 1.08/1.30 exact (zenon_Hd8 zenon_H35).
% 1.08/1.30 apply (zenon_notand_s _ _ zenon_H1ff); [ zenon_intro zenon_H206 | zenon_intro zenon_H205 ].
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H206). zenon_intro zenon_H1a9. zenon_intro zenon_H207.
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H207). zenon_intro zenon_H1de. zenon_intro zenon_H208.
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H208). zenon_intro zenon_H92. zenon_intro zenon_H209.
% 1.08/1.30 exact (zenon_H92 zenon_H21).
% 1.08/1.30 apply (zenon_notand_s _ _ zenon_H205); [ zenon_intro zenon_H20b | zenon_intro zenon_H20a ].
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H20b). zenon_intro zenon_Hfa. zenon_intro zenon_H20c.
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H20c). zenon_intro zenon_H11d. zenon_intro zenon_H20d.
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H20d). zenon_intro zenon_H92. zenon_intro zenon_H20e.
% 1.08/1.30 exact (zenon_H92 zenon_H21).
% 1.08/1.30 apply (zenon_notand_s _ _ zenon_H20a); [ zenon_intro zenon_H210 | zenon_intro zenon_H20f ].
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H210). zenon_intro zenon_H1b4. zenon_intro zenon_H211.
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H211). zenon_intro zenon_H213. zenon_intro zenon_H212.
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H212). zenon_intro zenon_H215. zenon_intro zenon_H214.
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H214). zenon_intro zenon_H140. zenon_intro zenon_Ha0.
% 1.08/1.30 exact (zenon_Ha0 zenon_H25).
% 1.08/1.30 apply (zenon_notand_s _ _ zenon_H20f); [ zenon_intro zenon_H217 | zenon_intro zenon_H216 ].
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H217). zenon_intro zenon_Hfb. zenon_intro zenon_H218.
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H218). zenon_intro zenon_H6f. zenon_intro zenon_H219.
% 1.08/1.30 exact (zenon_H6f zenon_H17).
% 1.08/1.30 apply (zenon_notand_s _ _ zenon_H216); [ zenon_intro zenon_H21b | zenon_intro zenon_H21a ].
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H21b). zenon_intro zenon_H21d. zenon_intro zenon_H21c.
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H21c). zenon_intro zenon_H1f1. zenon_intro zenon_H21e.
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H21e). zenon_intro zenon_H220. zenon_intro zenon_H21f.
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H21f). zenon_intro zenon_H99. zenon_intro zenon_H149.
% 1.08/1.30 exact (zenon_H99 zenon_H23).
% 1.08/1.30 apply (zenon_notand_s _ _ zenon_H21a); [ zenon_intro zenon_H222 | zenon_intro zenon_H221 ].
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H222). zenon_intro zenon_H4c. zenon_intro zenon_H223.
% 1.08/1.30 exact (zenon_H4c zenon_Hd).
% 1.08/1.30 apply (zenon_notand_s _ _ zenon_H221); [ zenon_intro zenon_H225 | zenon_intro zenon_H224 ].
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H225). zenon_intro zenon_H14d. zenon_intro zenon_H226.
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H226). zenon_intro zenon_H154. zenon_intro zenon_H227.
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H227). zenon_intro zenon_Hb5. zenon_intro zenon_H228.
% 1.08/1.30 exact (zenon_Hb5 zenon_H2b).
% 1.08/1.30 apply (zenon_notand_s _ _ zenon_H224); [ zenon_intro zenon_H22a | zenon_intro zenon_H229 ].
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H22a). zenon_intro zenon_Hff. zenon_intro zenon_H22b.
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H22b). zenon_intro zenon_H122. zenon_intro zenon_H22c.
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H22c). zenon_intro zenon_H13b. zenon_intro zenon_H22d.
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H22d). zenon_intro zenon_H160. zenon_intro zenon_Hdf.
% 1.08/1.30 exact (zenon_Hdf zenon_H37).
% 1.08/1.30 apply (zenon_notand_s _ _ zenon_H229); [ zenon_intro zenon_H22f | zenon_intro zenon_H22e ].
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H22f). zenon_intro zenon_H14f. zenon_intro zenon_H230.
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H230). zenon_intro zenon_H156. zenon_intro zenon_H231.
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H231). zenon_intro zenon_H204. zenon_intro zenon_H232.
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H232). zenon_intro zenon_H162. zenon_intro zenon_Hc3.
% 1.08/1.30 exact (zenon_Hc3 zenon_H2f).
% 1.08/1.30 apply (zenon_notand_s _ _ zenon_H22e); [ zenon_intro zenon_H234 | zenon_intro zenon_H233 ].
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H234). zenon_intro zenon_H53. zenon_intro zenon_H235.
% 1.08/1.30 exact (zenon_H53 zenon_Hf).
% 1.08/1.30 apply (zenon_notand_s _ _ zenon_H233); [ zenon_intro zenon_H237 | zenon_intro zenon_H236 ].
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H237). zenon_intro zenon_Ha7. zenon_intro zenon_H238.
% 1.08/1.30 exact (zenon_Ha7 zenon_H27).
% 1.08/1.30 apply (zenon_notand_s _ _ zenon_H236); [ zenon_intro zenon_H23a | zenon_intro zenon_H239 ].
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H23a). zenon_intro zenon_H1a3. zenon_intro zenon_H23b.
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H23b). zenon_intro zenon_H76. zenon_intro zenon_H23c.
% 1.08/1.30 exact (zenon_H76 zenon_H19).
% 1.08/1.30 apply (zenon_notand_s _ _ zenon_H239); [ zenon_intro zenon_H23e | zenon_intro zenon_H23d ].
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H23e). zenon_intro zenon_H1b5. zenon_intro zenon_H23f.
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H23f). zenon_intro zenon_H159. zenon_intro zenon_H240.
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H240). zenon_intro zenon_H242. zenon_intro zenon_H241.
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H241). zenon_intro zenon_Hbc. zenon_intro zenon_H243.
% 1.08/1.30 exact (zenon_Hbc zenon_H2d).
% 1.08/1.30 apply (zenon_notand_s _ _ zenon_H23d); [ zenon_intro zenon_H245 | zenon_intro zenon_H244 ].
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H245). zenon_intro zenon_H247. zenon_intro zenon_H246.
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H246). zenon_intro zenon_H249. zenon_intro zenon_H248.
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H248). zenon_intro zenon_H140. zenon_intro zenon_H24a.
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H24a). zenon_intro zenon_Hbc. zenon_intro zenon_H24b.
% 1.08/1.30 exact (zenon_Hbc zenon_H2d).
% 1.08/1.30 apply (zenon_notand_s _ _ zenon_H244); [ zenon_intro zenon_H24d | zenon_intro zenon_H24c ].
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H24d). zenon_intro zenon_H24f. zenon_intro zenon_H24e.
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H24e). zenon_intro zenon_Hae. zenon_intro zenon_H250.
% 1.08/1.30 exact (zenon_Hae zenon_H29).
% 1.08/1.30 apply (zenon_notand_s _ _ zenon_H24c); [ zenon_intro zenon_H252 | zenon_intro zenon_H251 ].
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H252). zenon_intro zenon_H254. zenon_intro zenon_H253.
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H253). zenon_intro zenon_H256. zenon_intro zenon_H255.
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H255). zenon_intro zenon_H99. zenon_intro zenon_H257.
% 1.08/1.30 exact (zenon_H99 zenon_H23).
% 1.08/1.30 apply (zenon_notand_s _ _ zenon_H251); [ zenon_intro zenon_H259 | zenon_intro zenon_H258 ].
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H259). zenon_intro zenon_H16e. zenon_intro zenon_H25a.
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H25a). zenon_intro zenon_H177. zenon_intro zenon_H25b.
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H25b). zenon_intro zenon_H17e. zenon_intro zenon_H25c.
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H25c). zenon_intro zenon_Hdf. zenon_intro zenon_H186.
% 1.08/1.30 exact (zenon_Hdf zenon_H37).
% 1.08/1.30 apply (zenon_notand_s _ _ zenon_H258); [ zenon_intro zenon_H25e | zenon_intro zenon_H25d ].
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H25e). zenon_intro zenon_H104. zenon_intro zenon_H25f.
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H25f). zenon_intro zenon_H7d. zenon_intro zenon_H260.
% 1.08/1.30 exact (zenon_H7d zenon_H1b).
% 1.08/1.30 apply (zenon_notand_s _ _ zenon_H25d); [ zenon_intro zenon_H262 | zenon_intro zenon_H261 ].
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H262). zenon_intro zenon_H170. zenon_intro zenon_H263.
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H263). zenon_intro zenon_H179. zenon_intro zenon_H264.
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H264). zenon_intro zenon_Hd8. zenon_intro zenon_H265.
% 1.08/1.30 exact (zenon_Hd8 zenon_H35).
% 1.08/1.30 apply (zenon_notand_s _ _ zenon_H261); [ zenon_intro zenon_H267 | zenon_intro zenon_H266 ].
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H267). zenon_intro zenon_H106. zenon_intro zenon_H268.
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H268). zenon_intro zenon_H26a. zenon_intro zenon_H269.
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H269). zenon_intro zenon_H146. zenon_intro zenon_H26b.
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H26b). zenon_intro zenon_Hc3. zenon_intro zenon_H188.
% 1.08/1.30 exact (zenon_Hc3 zenon_H2f).
% 1.08/1.30 apply (zenon_notand_s _ _ zenon_H266); [ zenon_intro zenon_H26d | zenon_intro zenon_H26c ].
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H26d). zenon_intro zenon_H172. zenon_intro zenon_H26e.
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H26e). zenon_intro zenon_Hd1. zenon_intro zenon_H26f.
% 1.08/1.30 exact (zenon_Hd1 zenon_H33).
% 1.08/1.30 apply (zenon_notand_s _ _ zenon_H26c); [ zenon_intro zenon_H271 | zenon_intro zenon_H270 ].
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H271). zenon_intro zenon_H5a. zenon_intro zenon_H272.
% 1.08/1.30 exact (zenon_H5a zenon_H11).
% 1.08/1.30 apply (zenon_notand_s _ _ zenon_H270); [ zenon_intro zenon_H274 | zenon_intro zenon_H273 ].
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H274). zenon_intro zenon_Hca. zenon_intro zenon_H275.
% 1.08/1.30 exact (zenon_Hca zenon_H31).
% 1.08/1.30 apply (zenon_notand_s _ _ zenon_H273); [ zenon_intro zenon_H277 | zenon_intro zenon_H276 ].
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H277). zenon_intro zenon_H279. zenon_intro zenon_H278.
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H278). zenon_intro zenon_H27b. zenon_intro zenon_H27a.
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H27a). zenon_intro zenon_Ha0. zenon_intro zenon_H27c.
% 1.08/1.30 exact (zenon_Ha0 zenon_H25).
% 1.08/1.30 apply (zenon_notand_s _ _ zenon_H276); [ zenon_intro zenon_H27e | zenon_intro zenon_H27d ].
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H27e). zenon_intro zenon_H173. zenon_intro zenon_H27f.
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H27f). zenon_intro zenon_H1f2. zenon_intro zenon_H280.
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H280). zenon_intro zenon_H282. zenon_intro zenon_H281.
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H281). zenon_intro zenon_H283. zenon_intro zenon_He6.
% 1.08/1.30 exact (zenon_He6 zenon_H36).
% 1.08/1.30 apply (zenon_notand_s _ _ zenon_H27d); [ zenon_intro zenon_H285 | zenon_intro zenon_H284 ].
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H285). zenon_intro zenon_H287. zenon_intro zenon_H286.
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H286). zenon_intro zenon_H289. zenon_intro zenon_H288.
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H288). zenon_intro zenon_H149. zenon_intro zenon_H28a.
% 1.08/1.30 apply (zenon_notor_s _ _ zenon_H28a). zenon_intro zenon_H28b. zenon_intro zenon_He6.
% 1.08/1.30 exact (zenon_He6 zenon_H36).
% 1.08/1.30 apply (zenon_notand_s _ _ zenon_H284); [ zenon_intro zenon_H28d | zenon_intro zenon_H28c ].
% 1.08/1.30 cut (((op (e0) (e0)) = (e0)) = ((op (op (e0) (e0)) (op (e0) (e0))) = (e0))).
% 1.08/1.30 intro zenon_D_pnotp.
% 1.08/1.30 apply zenon_H28d.
% 1.08/1.30 rewrite <- zenon_D_pnotp.
% 1.08/1.30 exact zenon_H9.
% 1.08/1.30 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H3].
% 1.08/1.30 cut (((op (e0) (e0)) = (op (op (e0) (e0)) (op (e0) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H28e].
% 1.08/1.30 congruence.
% 1.08/1.30 elim (classic ((op (op (e0) (e0)) (op (e0) (e0))) = (op (op (e0) (e0)) (op (e0) (e0))))); [ zenon_intro zenon_H28f | zenon_intro zenon_H290 ].
% 1.08/1.30 cut (((op (op (e0) (e0)) (op (e0) (e0))) = (op (op (e0) (e0)) (op (e0) (e0)))) = ((op (e0) (e0)) = (op (op (e0) (e0)) (op (e0) (e0))))).
% 1.08/1.30 intro zenon_D_pnotp.
% 1.08/1.30 apply zenon_H28e.
% 1.08/1.30 rewrite <- zenon_D_pnotp.
% 1.08/1.30 exact zenon_H28f.
% 1.08/1.30 cut (((op (op (e0) (e0)) (op (e0) (e0))) = (op (op (e0) (e0)) (op (e0) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H290].
% 1.08/1.30 cut (((op (op (e0) (e0)) (op (e0) (e0))) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H291].
% 1.08/1.30 congruence.
% 1.08/1.30 cut (((op (e0) (e0)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H3e].
% 1.08/1.30 cut (((op (e0) (e0)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H3e].
% 1.08/1.30 congruence.
% 1.08/1.30 exact (zenon_H3e zenon_H9).
% 1.08/1.30 exact (zenon_H3e zenon_H9).
% 1.08/1.30 apply zenon_H290. apply refl_equal.
% 1.08/1.30 apply zenon_H290. apply refl_equal.
% 1.08/1.30 apply zenon_H3. apply refl_equal.
% 1.08/1.30 apply (zenon_notand_s _ _ zenon_H28c); [ zenon_intro zenon_H293 | zenon_intro zenon_H292 ].
% 1.08/1.30 cut (((op (e4) (e3)) = (e0)) = ((op (op (e1) (e0)) (op (e0) (e1))) = (e0))).
% 1.08/1.30 intro zenon_D_pnotp.
% 1.08/1.30 apply zenon_H293.
% 1.08/1.30 rewrite <- zenon_D_pnotp.
% 1.08/1.30 exact zenon_H37.
% 1.08/1.30 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H3].
% 1.08/1.30 cut (((op (e4) (e3)) = (op (op (e1) (e0)) (op (e0) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H294].
% 1.08/1.30 congruence.
% 1.08/1.30 elim (classic ((op (op (e1) (e0)) (op (e0) (e1))) = (op (op (e1) (e0)) (op (e0) (e1))))); [ zenon_intro zenon_H295 | zenon_intro zenon_H296 ].
% 1.08/1.30 cut (((op (op (e1) (e0)) (op (e0) (e1))) = (op (op (e1) (e0)) (op (e0) (e1)))) = ((op (e4) (e3)) = (op (op (e1) (e0)) (op (e0) (e1))))).
% 1.08/1.30 intro zenon_D_pnotp.
% 1.08/1.30 apply zenon_H294.
% 1.08/1.30 rewrite <- zenon_D_pnotp.
% 1.08/1.30 exact zenon_H295.
% 1.08/1.30 cut (((op (op (e1) (e0)) (op (e0) (e1))) = (op (op (e1) (e0)) (op (e0) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H296].
% 1.08/1.30 cut (((op (op (e1) (e0)) (op (e0) (e1))) = (op (e4) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H297].
% 1.08/1.30 congruence.
% 1.08/1.30 cut (((op (e0) (e1)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H45].
% 1.08/1.30 cut (((op (e1) (e0)) = (e4))); [idtac | apply NNPP; zenon_intro zenon_H61].
% 1.08/1.30 congruence.
% 1.08/1.30 exact (zenon_H61 zenon_H13).
% 1.08/1.30 exact (zenon_H45 zenon_Hb).
% 1.08/1.30 apply zenon_H296. apply refl_equal.
% 1.08/1.30 apply zenon_H296. apply refl_equal.
% 1.08/1.30 apply zenon_H3. apply refl_equal.
% 1.08/1.30 apply (zenon_notand_s _ _ zenon_H292); [ zenon_intro zenon_H299 | zenon_intro zenon_H298 ].
% 1.08/1.30 cut (((op (e1) (e4)) = (e0)) = ((op (op (e2) (e0)) (op (e0) (e2))) = (e0))).
% 1.08/1.30 intro zenon_D_pnotp.
% 1.08/1.30 apply zenon_H299.
% 1.08/1.30 rewrite <- zenon_D_pnotp.
% 1.08/1.30 exact zenon_H1b.
% 1.08/1.30 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H3].
% 1.08/1.30 cut (((op (e1) (e4)) = (op (op (e2) (e0)) (op (e0) (e2))))); [idtac | apply NNPP; zenon_intro zenon_H29a].
% 1.08/1.30 congruence.
% 1.08/1.30 elim (classic ((op (op (e2) (e0)) (op (e0) (e2))) = (op (op (e2) (e0)) (op (e0) (e2))))); [ zenon_intro zenon_H29b | zenon_intro zenon_H29c ].
% 1.08/1.30 cut (((op (op (e2) (e0)) (op (e0) (e2))) = (op (op (e2) (e0)) (op (e0) (e2)))) = ((op (e1) (e4)) = (op (op (e2) (e0)) (op (e0) (e2))))).
% 1.08/1.30 intro zenon_D_pnotp.
% 1.08/1.30 apply zenon_H29a.
% 1.08/1.30 rewrite <- zenon_D_pnotp.
% 1.08/1.30 exact zenon_H29b.
% 1.08/1.30 cut (((op (op (e2) (e0)) (op (e0) (e2))) = (op (op (e2) (e0)) (op (e0) (e2))))); [idtac | apply NNPP; zenon_intro zenon_H29c].
% 1.08/1.30 cut (((op (op (e2) (e0)) (op (e0) (e2))) = (op (e1) (e4)))); [idtac | apply NNPP; zenon_intro zenon_H29d].
% 1.08/1.30 congruence.
% 1.08/1.30 cut (((op (e0) (e2)) = (e4))); [idtac | apply NNPP; zenon_intro zenon_H4c].
% 1.08/1.30 cut (((op (e2) (e0)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H84].
% 1.08/1.30 congruence.
% 1.08/1.30 exact (zenon_H84 zenon_H1d).
% 1.08/1.30 exact (zenon_H4c zenon_Hd).
% 1.08/1.30 apply zenon_H29c. apply refl_equal.
% 1.08/1.30 apply zenon_H29c. apply refl_equal.
% 1.08/1.30 apply zenon_H3. apply refl_equal.
% 1.08/1.30 apply (zenon_notand_s _ _ zenon_H298); [ zenon_intro zenon_H29f | zenon_intro zenon_H29e ].
% 1.08/1.30 cut (((op (e2) (e1)) = (e0)) = ((op (op (e3) (e0)) (op (e0) (e3))) = (e0))).
% 1.08/1.30 intro zenon_D_pnotp.
% 1.08/1.30 apply zenon_H29f.
% 1.08/1.30 rewrite <- zenon_D_pnotp.
% 1.08/1.30 exact zenon_H1f.
% 1.08/1.30 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H3].
% 1.08/1.30 cut (((op (e2) (e1)) = (op (op (e3) (e0)) (op (e0) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H2a0].
% 1.08/1.30 congruence.
% 1.08/1.30 elim (classic ((op (op (e3) (e0)) (op (e0) (e3))) = (op (op (e3) (e0)) (op (e0) (e3))))); [ zenon_intro zenon_H2a1 | zenon_intro zenon_H2a2 ].
% 1.08/1.30 cut (((op (op (e3) (e0)) (op (e0) (e3))) = (op (op (e3) (e0)) (op (e0) (e3)))) = ((op (e2) (e1)) = (op (op (e3) (e0)) (op (e0) (e3))))).
% 1.08/1.30 intro zenon_D_pnotp.
% 1.08/1.30 apply zenon_H2a0.
% 1.08/1.30 rewrite <- zenon_D_pnotp.
% 1.08/1.30 exact zenon_H2a1.
% 1.08/1.30 cut (((op (op (e3) (e0)) (op (e0) (e3))) = (op (op (e3) (e0)) (op (e0) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H2a2].
% 1.08/1.30 cut (((op (op (e3) (e0)) (op (e0) (e3))) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H2a3].
% 1.08/1.30 congruence.
% 1.08/1.30 cut (((op (e0) (e3)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H53].
% 1.08/1.30 cut (((op (e3) (e0)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_Ha7].
% 1.08/1.30 congruence.
% 1.08/1.30 exact (zenon_Ha7 zenon_H27).
% 1.08/1.30 exact (zenon_H53 zenon_Hf).
% 1.08/1.30 apply zenon_H2a2. apply refl_equal.
% 1.08/1.30 apply zenon_H2a2. apply refl_equal.
% 1.08/1.30 apply zenon_H3. apply refl_equal.
% 1.08/1.30 apply (zenon_notand_s _ _ zenon_H29e); [ zenon_intro zenon_H2a5 | zenon_intro zenon_H2a4 ].
% 1.08/1.30 cut (((op (e3) (e2)) = (e0)) = ((op (op (e4) (e0)) (op (e0) (e4))) = (e0))).
% 1.08/1.30 intro zenon_D_pnotp.
% 1.08/1.30 apply zenon_H2a5.
% 1.08/1.30 rewrite <- zenon_D_pnotp.
% 1.08/1.30 exact zenon_H2b.
% 1.08/1.30 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H3].
% 1.08/1.30 cut (((op (e3) (e2)) = (op (op (e4) (e0)) (op (e0) (e4))))); [idtac | apply NNPP; zenon_intro zenon_H2a6].
% 1.08/1.30 congruence.
% 1.08/1.30 elim (classic ((op (op (e4) (e0)) (op (e0) (e4))) = (op (op (e4) (e0)) (op (e0) (e4))))); [ zenon_intro zenon_H2a7 | zenon_intro zenon_H2a8 ].
% 1.08/1.30 cut (((op (op (e4) (e0)) (op (e0) (e4))) = (op (op (e4) (e0)) (op (e0) (e4)))) = ((op (e3) (e2)) = (op (op (e4) (e0)) (op (e0) (e4))))).
% 1.08/1.30 intro zenon_D_pnotp.
% 1.08/1.30 apply zenon_H2a6.
% 1.08/1.30 rewrite <- zenon_D_pnotp.
% 1.08/1.30 exact zenon_H2a7.
% 1.08/1.30 cut (((op (op (e4) (e0)) (op (e0) (e4))) = (op (op (e4) (e0)) (op (e0) (e4))))); [idtac | apply NNPP; zenon_intro zenon_H2a8].
% 1.08/1.30 cut (((op (op (e4) (e0)) (op (e0) (e4))) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H2a9].
% 1.08/1.30 congruence.
% 1.08/1.30 cut (((op (e0) (e4)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H5a].
% 1.08/1.30 cut (((op (e4) (e0)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_Hca].
% 1.08/1.30 congruence.
% 1.08/1.30 exact (zenon_Hca zenon_H31).
% 1.08/1.30 exact (zenon_H5a zenon_H11).
% 1.08/1.30 apply zenon_H2a8. apply refl_equal.
% 1.08/1.30 apply zenon_H2a8. apply refl_equal.
% 1.08/1.30 apply zenon_H3. apply refl_equal.
% 1.08/1.30 apply (zenon_notand_s _ _ zenon_H2a4); [ zenon_intro zenon_H2ab | zenon_intro zenon_H2aa ].
% 1.08/1.30 cut (((op (e3) (e4)) = (e1)) = ((op (op (e0) (e1)) (op (e1) (e0))) = (e1))).
% 1.08/1.30 intro zenon_D_pnotp.
% 1.08/1.30 apply zenon_H2ab.
% 1.08/1.30 rewrite <- zenon_D_pnotp.
% 1.08/1.30 exact zenon_H2f.
% 1.08/1.30 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H4].
% 1.08/1.30 cut (((op (e3) (e4)) = (op (op (e0) (e1)) (op (e1) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H2ac].
% 1.08/1.30 congruence.
% 1.08/1.30 elim (classic ((op (op (e0) (e1)) (op (e1) (e0))) = (op (op (e0) (e1)) (op (e1) (e0))))); [ zenon_intro zenon_H2ad | zenon_intro zenon_H2ae ].
% 1.08/1.30 cut (((op (op (e0) (e1)) (op (e1) (e0))) = (op (op (e0) (e1)) (op (e1) (e0)))) = ((op (e3) (e4)) = (op (op (e0) (e1)) (op (e1) (e0))))).
% 1.08/1.30 intro zenon_D_pnotp.
% 1.08/1.30 apply zenon_H2ac.
% 1.08/1.30 rewrite <- zenon_D_pnotp.
% 1.08/1.30 exact zenon_H2ad.
% 1.08/1.30 cut (((op (op (e0) (e1)) (op (e1) (e0))) = (op (op (e0) (e1)) (op (e1) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H2ae].
% 1.08/1.30 cut (((op (op (e0) (e1)) (op (e1) (e0))) = (op (e3) (e4)))); [idtac | apply NNPP; zenon_intro zenon_H2af].
% 1.08/1.30 congruence.
% 1.08/1.30 cut (((op (e1) (e0)) = (e4))); [idtac | apply NNPP; zenon_intro zenon_H61].
% 1.08/1.30 cut (((op (e0) (e1)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H45].
% 1.08/1.30 congruence.
% 1.08/1.30 exact (zenon_H45 zenon_Hb).
% 1.08/1.30 exact (zenon_H61 zenon_H13).
% 1.08/1.30 apply zenon_H2ae. apply refl_equal.
% 1.08/1.30 apply zenon_H2ae. apply refl_equal.
% 1.08/1.30 apply zenon_H4. apply refl_equal.
% 1.08/1.30 apply (zenon_notand_s _ _ zenon_H2aa); [ zenon_intro zenon_H2b1 | zenon_intro zenon_H2b0 ].
% 1.08/1.30 cut (((op (e1) (e1)) = (e1)) = ((op (op (e1) (e1)) (op (e1) (e1))) = (e1))).
% 1.08/1.30 intro zenon_D_pnotp.
% 1.08/1.30 apply zenon_H2b1.
% 1.08/1.30 rewrite <- zenon_D_pnotp.
% 1.08/1.30 exact zenon_H15.
% 1.08/1.30 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H4].
% 1.08/1.30 cut (((op (e1) (e1)) = (op (op (e1) (e1)) (op (e1) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H2b2].
% 1.08/1.30 congruence.
% 1.08/1.30 elim (classic ((op (op (e1) (e1)) (op (e1) (e1))) = (op (op (e1) (e1)) (op (e1) (e1))))); [ zenon_intro zenon_H2b3 | zenon_intro zenon_H2b4 ].
% 1.08/1.30 cut (((op (op (e1) (e1)) (op (e1) (e1))) = (op (op (e1) (e1)) (op (e1) (e1)))) = ((op (e1) (e1)) = (op (op (e1) (e1)) (op (e1) (e1))))).
% 1.08/1.30 intro zenon_D_pnotp.
% 1.08/1.30 apply zenon_H2b2.
% 1.08/1.30 rewrite <- zenon_D_pnotp.
% 1.08/1.30 exact zenon_H2b3.
% 1.08/1.30 cut (((op (op (e1) (e1)) (op (e1) (e1))) = (op (op (e1) (e1)) (op (e1) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H2b4].
% 1.08/1.30 cut (((op (op (e1) (e1)) (op (e1) (e1))) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H2b5].
% 1.08/1.30 congruence.
% 1.08/1.30 cut (((op (e1) (e1)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H68].
% 1.08/1.30 cut (((op (e1) (e1)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H68].
% 1.08/1.30 congruence.
% 1.08/1.30 exact (zenon_H68 zenon_H15).
% 1.08/1.30 exact (zenon_H68 zenon_H15).
% 1.08/1.30 apply zenon_H2b4. apply refl_equal.
% 1.08/1.30 apply zenon_H2b4. apply refl_equal.
% 1.08/1.30 apply zenon_H4. apply refl_equal.
% 1.08/1.30 apply (zenon_notand_s _ _ zenon_H2b0); [ zenon_intro zenon_H2b7 | zenon_intro zenon_H2b6 ].
% 1.08/1.30 cut (((op (e0) (e3)) = (e1)) = ((op (op (e2) (e1)) (op (e1) (e2))) = (e1))).
% 1.08/1.30 intro zenon_D_pnotp.
% 1.08/1.30 apply zenon_H2b7.
% 1.08/1.30 rewrite <- zenon_D_pnotp.
% 1.08/1.30 exact zenon_Hf.
% 1.08/1.30 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H4].
% 1.08/1.30 cut (((op (e0) (e3)) = (op (op (e2) (e1)) (op (e1) (e2))))); [idtac | apply NNPP; zenon_intro zenon_H2b8].
% 1.08/1.30 congruence.
% 1.08/1.30 elim (classic ((op (op (e2) (e1)) (op (e1) (e2))) = (op (op (e2) (e1)) (op (e1) (e2))))); [ zenon_intro zenon_H2b9 | zenon_intro zenon_H2ba ].
% 1.08/1.30 cut (((op (op (e2) (e1)) (op (e1) (e2))) = (op (op (e2) (e1)) (op (e1) (e2)))) = ((op (e0) (e3)) = (op (op (e2) (e1)) (op (e1) (e2))))).
% 1.08/1.30 intro zenon_D_pnotp.
% 1.08/1.30 apply zenon_H2b8.
% 1.08/1.30 rewrite <- zenon_D_pnotp.
% 1.08/1.30 exact zenon_H2b9.
% 1.08/1.30 cut (((op (op (e2) (e1)) (op (e1) (e2))) = (op (op (e2) (e1)) (op (e1) (e2))))); [idtac | apply NNPP; zenon_intro zenon_H2ba].
% 1.08/1.30 cut (((op (op (e2) (e1)) (op (e1) (e2))) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H2bb].
% 1.08/1.30 congruence.
% 1.08/1.30 cut (((op (e1) (e2)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H6f].
% 1.08/1.30 cut (((op (e2) (e1)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H8b].
% 1.08/1.30 congruence.
% 1.08/1.30 exact (zenon_H8b zenon_H1f).
% 1.08/1.30 exact (zenon_H6f zenon_H17).
% 1.08/1.30 apply zenon_H2ba. apply refl_equal.
% 1.08/1.30 apply zenon_H2ba. apply refl_equal.
% 1.08/1.30 apply zenon_H4. apply refl_equal.
% 1.08/1.30 apply (zenon_notand_s _ _ zenon_H2b6); [ zenon_intro zenon_H2bd | zenon_intro zenon_H2bc ].
% 1.08/1.30 cut (((op (e4) (e2)) = (e1)) = ((op (op (e3) (e1)) (op (e1) (e3))) = (e1))).
% 1.08/1.30 intro zenon_D_pnotp.
% 1.08/1.30 apply zenon_H2bd.
% 1.08/1.30 rewrite <- zenon_D_pnotp.
% 1.08/1.30 exact zenon_H35.
% 1.08/1.30 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H4].
% 1.08/1.30 cut (((op (e4) (e2)) = (op (op (e3) (e1)) (op (e1) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H2be].
% 1.08/1.30 congruence.
% 1.08/1.30 elim (classic ((op (op (e3) (e1)) (op (e1) (e3))) = (op (op (e3) (e1)) (op (e1) (e3))))); [ zenon_intro zenon_H2bf | zenon_intro zenon_H2c0 ].
% 1.08/1.30 cut (((op (op (e3) (e1)) (op (e1) (e3))) = (op (op (e3) (e1)) (op (e1) (e3)))) = ((op (e4) (e2)) = (op (op (e3) (e1)) (op (e1) (e3))))).
% 1.08/1.30 intro zenon_D_pnotp.
% 1.08/1.30 apply zenon_H2be.
% 1.08/1.30 rewrite <- zenon_D_pnotp.
% 1.08/1.30 exact zenon_H2bf.
% 1.08/1.30 cut (((op (op (e3) (e1)) (op (e1) (e3))) = (op (op (e3) (e1)) (op (e1) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H2c0].
% 1.08/1.30 cut (((op (op (e3) (e1)) (op (e1) (e3))) = (op (e4) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H2c1].
% 1.08/1.30 congruence.
% 1.08/1.30 cut (((op (e1) (e3)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H76].
% 1.08/1.30 cut (((op (e3) (e1)) = (e4))); [idtac | apply NNPP; zenon_intro zenon_Hae].
% 1.08/1.30 congruence.
% 1.08/1.30 exact (zenon_Hae zenon_H29).
% 1.08/1.30 exact (zenon_H76 zenon_H19).
% 1.08/1.30 apply zenon_H2c0. apply refl_equal.
% 1.08/1.30 apply zenon_H2c0. apply refl_equal.
% 1.08/1.30 apply zenon_H4. apply refl_equal.
% 1.08/1.30 apply (zenon_notand_s _ _ zenon_H2bc); [ zenon_intro zenon_H2c3 | zenon_intro zenon_H2c2 ].
% 1.08/1.30 cut (((op (e2) (e0)) = (e1)) = ((op (op (e4) (e1)) (op (e1) (e4))) = (e1))).
% 1.08/1.30 intro zenon_D_pnotp.
% 1.08/1.30 apply zenon_H2c3.
% 1.08/1.30 rewrite <- zenon_D_pnotp.
% 1.08/1.30 exact zenon_H1d.
% 1.08/1.30 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H4].
% 1.08/1.30 cut (((op (e2) (e0)) = (op (op (e4) (e1)) (op (e1) (e4))))); [idtac | apply NNPP; zenon_intro zenon_H2c4].
% 1.08/1.30 congruence.
% 1.08/1.30 elim (classic ((op (op (e4) (e1)) (op (e1) (e4))) = (op (op (e4) (e1)) (op (e1) (e4))))); [ zenon_intro zenon_H2c5 | zenon_intro zenon_H2c6 ].
% 1.08/1.30 cut (((op (op (e4) (e1)) (op (e1) (e4))) = (op (op (e4) (e1)) (op (e1) (e4)))) = ((op (e2) (e0)) = (op (op (e4) (e1)) (op (e1) (e4))))).
% 1.08/1.30 intro zenon_D_pnotp.
% 1.08/1.30 apply zenon_H2c4.
% 1.08/1.30 rewrite <- zenon_D_pnotp.
% 1.08/1.30 exact zenon_H2c5.
% 1.08/1.30 cut (((op (op (e4) (e1)) (op (e1) (e4))) = (op (op (e4) (e1)) (op (e1) (e4))))); [idtac | apply NNPP; zenon_intro zenon_H2c6].
% 1.08/1.30 cut (((op (op (e4) (e1)) (op (e1) (e4))) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H2c7].
% 1.08/1.30 congruence.
% 1.08/1.30 cut (((op (e1) (e4)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H7d].
% 1.08/1.30 cut (((op (e4) (e1)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_Hd1].
% 1.08/1.30 congruence.
% 1.08/1.30 exact (zenon_Hd1 zenon_H33).
% 1.08/1.30 exact (zenon_H7d zenon_H1b).
% 1.08/1.30 apply zenon_H2c6. apply refl_equal.
% 1.08/1.30 apply zenon_H2c6. apply refl_equal.
% 1.08/1.30 apply zenon_H4. apply refl_equal.
% 1.08/1.30 apply (zenon_notand_s _ _ zenon_H2c2); [ zenon_intro zenon_H2c9 | zenon_intro zenon_H2c8 ].
% 1.08/1.30 cut (((op (e4) (e1)) = (e2)) = ((op (op (e0) (e2)) (op (e2) (e0))) = (e2))).
% 1.08/1.30 intro zenon_D_pnotp.
% 1.08/1.30 apply zenon_H2c9.
% 1.08/1.30 rewrite <- zenon_D_pnotp.
% 1.08/1.30 exact zenon_H33.
% 1.08/1.30 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H5].
% 1.08/1.30 cut (((op (e4) (e1)) = (op (op (e0) (e2)) (op (e2) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H2ca].
% 1.08/1.30 congruence.
% 1.08/1.30 elim (classic ((op (op (e0) (e2)) (op (e2) (e0))) = (op (op (e0) (e2)) (op (e2) (e0))))); [ zenon_intro zenon_H2cb | zenon_intro zenon_H2cc ].
% 1.08/1.30 cut (((op (op (e0) (e2)) (op (e2) (e0))) = (op (op (e0) (e2)) (op (e2) (e0)))) = ((op (e4) (e1)) = (op (op (e0) (e2)) (op (e2) (e0))))).
% 1.08/1.30 intro zenon_D_pnotp.
% 1.08/1.30 apply zenon_H2ca.
% 1.08/1.30 rewrite <- zenon_D_pnotp.
% 1.08/1.30 exact zenon_H2cb.
% 1.08/1.30 cut (((op (op (e0) (e2)) (op (e2) (e0))) = (op (op (e0) (e2)) (op (e2) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H2cc].
% 1.08/1.30 cut (((op (op (e0) (e2)) (op (e2) (e0))) = (op (e4) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H2cd].
% 1.08/1.30 congruence.
% 1.08/1.30 cut (((op (e2) (e0)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H84].
% 1.08/1.30 cut (((op (e0) (e2)) = (e4))); [idtac | apply NNPP; zenon_intro zenon_H4c].
% 1.08/1.30 congruence.
% 1.08/1.30 exact (zenon_H4c zenon_Hd).
% 1.08/1.30 exact (zenon_H84 zenon_H1d).
% 1.08/1.30 apply zenon_H2cc. apply refl_equal.
% 1.08/1.30 apply zenon_H2cc. apply refl_equal.
% 1.08/1.30 apply zenon_H5. apply refl_equal.
% 1.08/1.30 apply (zenon_notand_s _ _ zenon_H2c8); [ zenon_intro zenon_H2cf | zenon_intro zenon_H2ce ].
% 1.08/1.30 cut (((op (e3) (e0)) = (e2)) = ((op (op (e1) (e2)) (op (e2) (e1))) = (e2))).
% 1.08/1.30 intro zenon_D_pnotp.
% 1.08/1.30 apply zenon_H2cf.
% 1.08/1.30 rewrite <- zenon_D_pnotp.
% 1.08/1.30 exact zenon_H27.
% 1.08/1.30 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H5].
% 1.08/1.30 cut (((op (e3) (e0)) = (op (op (e1) (e2)) (op (e2) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H2d0].
% 1.08/1.30 congruence.
% 1.08/1.30 elim (classic ((op (op (e1) (e2)) (op (e2) (e1))) = (op (op (e1) (e2)) (op (e2) (e1))))); [ zenon_intro zenon_H2d1 | zenon_intro zenon_H2d2 ].
% 1.08/1.30 cut (((op (op (e1) (e2)) (op (e2) (e1))) = (op (op (e1) (e2)) (op (e2) (e1)))) = ((op (e3) (e0)) = (op (op (e1) (e2)) (op (e2) (e1))))).
% 1.08/1.30 intro zenon_D_pnotp.
% 1.08/1.30 apply zenon_H2d0.
% 1.08/1.30 rewrite <- zenon_D_pnotp.
% 1.08/1.30 exact zenon_H2d1.
% 1.08/1.30 cut (((op (op (e1) (e2)) (op (e2) (e1))) = (op (op (e1) (e2)) (op (e2) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H2d2].
% 1.08/1.30 cut (((op (op (e1) (e2)) (op (e2) (e1))) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H2d3].
% 1.08/1.30 congruence.
% 1.08/1.30 cut (((op (e2) (e1)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H8b].
% 1.08/1.30 cut (((op (e1) (e2)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H6f].
% 1.08/1.30 congruence.
% 1.08/1.30 exact (zenon_H6f zenon_H17).
% 1.08/1.30 exact (zenon_H8b zenon_H1f).
% 1.08/1.30 apply zenon_H2d2. apply refl_equal.
% 1.08/1.30 apply zenon_H2d2. apply refl_equal.
% 1.08/1.30 apply zenon_H5. apply refl_equal.
% 1.08/1.30 apply (zenon_notand_s _ _ zenon_H2ce); [ zenon_intro zenon_H2d5 | zenon_intro zenon_H2d4 ].
% 1.08/1.30 cut (((op (e2) (e2)) = (e2)) = ((op (op (e2) (e2)) (op (e2) (e2))) = (e2))).
% 1.08/1.30 intro zenon_D_pnotp.
% 1.08/1.30 apply zenon_H2d5.
% 1.08/1.30 rewrite <- zenon_D_pnotp.
% 1.08/1.30 exact zenon_H21.
% 1.08/1.30 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H5].
% 1.08/1.30 cut (((op (e2) (e2)) = (op (op (e2) (e2)) (op (e2) (e2))))); [idtac | apply NNPP; zenon_intro zenon_H2d6].
% 1.08/1.30 congruence.
% 1.08/1.30 elim (classic ((op (op (e2) (e2)) (op (e2) (e2))) = (op (op (e2) (e2)) (op (e2) (e2))))); [ zenon_intro zenon_H2d7 | zenon_intro zenon_H2d8 ].
% 1.08/1.30 cut (((op (op (e2) (e2)) (op (e2) (e2))) = (op (op (e2) (e2)) (op (e2) (e2)))) = ((op (e2) (e2)) = (op (op (e2) (e2)) (op (e2) (e2))))).
% 1.08/1.30 intro zenon_D_pnotp.
% 1.08/1.30 apply zenon_H2d6.
% 1.08/1.30 rewrite <- zenon_D_pnotp.
% 1.08/1.30 exact zenon_H2d7.
% 1.08/1.30 cut (((op (op (e2) (e2)) (op (e2) (e2))) = (op (op (e2) (e2)) (op (e2) (e2))))); [idtac | apply NNPP; zenon_intro zenon_H2d8].
% 1.08/1.30 cut (((op (op (e2) (e2)) (op (e2) (e2))) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H2d9].
% 1.08/1.30 congruence.
% 1.08/1.30 cut (((op (e2) (e2)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H92].
% 1.08/1.30 cut (((op (e2) (e2)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H92].
% 1.08/1.30 congruence.
% 1.08/1.30 exact (zenon_H92 zenon_H21).
% 1.08/1.30 exact (zenon_H92 zenon_H21).
% 1.08/1.30 apply zenon_H2d8. apply refl_equal.
% 1.08/1.30 apply zenon_H2d8. apply refl_equal.
% 1.08/1.30 apply zenon_H5. apply refl_equal.
% 1.08/1.30 apply (zenon_notand_s _ _ zenon_H2d4); [ zenon_intro zenon_H2db | zenon_intro zenon_H2da ].
% 1.08/1.30 cut (((op (e0) (e4)) = (e2)) = ((op (op (e3) (e2)) (op (e2) (e3))) = (e2))).
% 1.08/1.30 intro zenon_D_pnotp.
% 1.08/1.30 apply zenon_H2db.
% 1.08/1.30 rewrite <- zenon_D_pnotp.
% 1.08/1.30 exact zenon_H11.
% 1.08/1.30 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H5].
% 1.08/1.30 cut (((op (e0) (e4)) = (op (op (e3) (e2)) (op (e2) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H2dc].
% 1.08/1.30 congruence.
% 1.08/1.30 elim (classic ((op (op (e3) (e2)) (op (e2) (e3))) = (op (op (e3) (e2)) (op (e2) (e3))))); [ zenon_intro zenon_H2dd | zenon_intro zenon_H2de ].
% 1.08/1.30 cut (((op (op (e3) (e2)) (op (e2) (e3))) = (op (op (e3) (e2)) (op (e2) (e3)))) = ((op (e0) (e4)) = (op (op (e3) (e2)) (op (e2) (e3))))).
% 1.08/1.30 intro zenon_D_pnotp.
% 1.08/1.30 apply zenon_H2dc.
% 1.08/1.30 rewrite <- zenon_D_pnotp.
% 1.08/1.30 exact zenon_H2dd.
% 1.08/1.30 cut (((op (op (e3) (e2)) (op (e2) (e3))) = (op (op (e3) (e2)) (op (e2) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H2de].
% 1.08/1.30 cut (((op (op (e3) (e2)) (op (e2) (e3))) = (op (e0) (e4)))); [idtac | apply NNPP; zenon_intro zenon_H2df].
% 1.08/1.30 congruence.
% 1.08/1.30 cut (((op (e2) (e3)) = (e4))); [idtac | apply NNPP; zenon_intro zenon_H99].
% 1.08/1.30 cut (((op (e3) (e2)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_Hb5].
% 1.08/1.30 congruence.
% 1.08/1.30 exact (zenon_Hb5 zenon_H2b).
% 1.08/1.30 exact (zenon_H99 zenon_H23).
% 1.08/1.30 apply zenon_H2de. apply refl_equal.
% 1.08/1.30 apply zenon_H2de. apply refl_equal.
% 1.08/1.30 apply zenon_H5. apply refl_equal.
% 1.08/1.30 apply (zenon_notand_s _ _ zenon_H2da); [ zenon_intro zenon_H2e1 | zenon_intro zenon_H2e0 ].
% 1.08/1.30 cut (((op (e1) (e3)) = (e2)) = ((op (op (e4) (e2)) (op (e2) (e4))) = (e2))).
% 1.08/1.30 intro zenon_D_pnotp.
% 1.08/1.30 apply zenon_H2e1.
% 1.08/1.30 rewrite <- zenon_D_pnotp.
% 1.08/1.30 exact zenon_H19.
% 1.08/1.30 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H5].
% 1.08/1.30 cut (((op (e1) (e3)) = (op (op (e4) (e2)) (op (e2) (e4))))); [idtac | apply NNPP; zenon_intro zenon_H2e2].
% 1.08/1.30 congruence.
% 1.08/1.30 elim (classic ((op (op (e4) (e2)) (op (e2) (e4))) = (op (op (e4) (e2)) (op (e2) (e4))))); [ zenon_intro zenon_H2e3 | zenon_intro zenon_H2e4 ].
% 1.08/1.30 cut (((op (op (e4) (e2)) (op (e2) (e4))) = (op (op (e4) (e2)) (op (e2) (e4)))) = ((op (e1) (e3)) = (op (op (e4) (e2)) (op (e2) (e4))))).
% 1.08/1.30 intro zenon_D_pnotp.
% 1.08/1.30 apply zenon_H2e2.
% 1.08/1.30 rewrite <- zenon_D_pnotp.
% 1.08/1.30 exact zenon_H2e3.
% 1.08/1.30 cut (((op (op (e4) (e2)) (op (e2) (e4))) = (op (op (e4) (e2)) (op (e2) (e4))))); [idtac | apply NNPP; zenon_intro zenon_H2e4].
% 1.08/1.30 cut (((op (op (e4) (e2)) (op (e2) (e4))) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H2e5].
% 1.08/1.30 congruence.
% 1.08/1.30 cut (((op (e2) (e4)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_Ha0].
% 1.08/1.30 cut (((op (e4) (e2)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_Hd8].
% 1.08/1.30 congruence.
% 1.08/1.30 exact (zenon_Hd8 zenon_H35).
% 1.08/1.30 exact (zenon_Ha0 zenon_H25).
% 1.08/1.30 apply zenon_H2e4. apply refl_equal.
% 1.08/1.30 apply zenon_H2e4. apply refl_equal.
% 1.08/1.30 apply zenon_H5. apply refl_equal.
% 1.08/1.30 apply (zenon_notand_s _ _ zenon_H2e0); [ zenon_intro zenon_H2e7 | zenon_intro zenon_H2e6 ].
% 1.08/1.30 cut (((op (e1) (e2)) = (e3)) = ((op (op (e0) (e3)) (op (e3) (e0))) = (e3))).
% 1.08/1.30 intro zenon_D_pnotp.
% 1.08/1.30 apply zenon_H2e7.
% 1.08/1.30 rewrite <- zenon_D_pnotp.
% 1.08/1.30 exact zenon_H17.
% 1.08/1.30 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H6].
% 1.08/1.30 cut (((op (e1) (e2)) = (op (op (e0) (e3)) (op (e3) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H2e8].
% 1.08/1.30 congruence.
% 1.08/1.30 elim (classic ((op (op (e0) (e3)) (op (e3) (e0))) = (op (op (e0) (e3)) (op (e3) (e0))))); [ zenon_intro zenon_H2e9 | zenon_intro zenon_H2ea ].
% 1.08/1.30 cut (((op (op (e0) (e3)) (op (e3) (e0))) = (op (op (e0) (e3)) (op (e3) (e0)))) = ((op (e1) (e2)) = (op (op (e0) (e3)) (op (e3) (e0))))).
% 1.08/1.30 intro zenon_D_pnotp.
% 1.08/1.30 apply zenon_H2e8.
% 1.08/1.30 rewrite <- zenon_D_pnotp.
% 1.08/1.30 exact zenon_H2e9.
% 1.08/1.30 cut (((op (op (e0) (e3)) (op (e3) (e0))) = (op (op (e0) (e3)) (op (e3) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H2ea].
% 1.08/1.30 cut (((op (op (e0) (e3)) (op (e3) (e0))) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H2eb].
% 1.08/1.30 congruence.
% 1.08/1.30 cut (((op (e3) (e0)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_Ha7].
% 1.08/1.30 cut (((op (e0) (e3)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H53].
% 1.08/1.30 congruence.
% 1.08/1.30 exact (zenon_H53 zenon_Hf).
% 1.08/1.30 exact (zenon_Ha7 zenon_H27).
% 1.08/1.30 apply zenon_H2ea. apply refl_equal.
% 1.08/1.30 apply zenon_H2ea. apply refl_equal.
% 1.08/1.30 apply zenon_H6. apply refl_equal.
% 1.08/1.30 apply (zenon_notand_s _ _ zenon_H2e6); [ zenon_intro zenon_H2ed | zenon_intro zenon_H2ec ].
% 1.08/1.30 cut (((op (e2) (e4)) = (e3)) = ((op (op (e1) (e3)) (op (e3) (e1))) = (e3))).
% 1.08/1.30 intro zenon_D_pnotp.
% 1.08/1.30 apply zenon_H2ed.
% 1.08/1.30 rewrite <- zenon_D_pnotp.
% 1.08/1.30 exact zenon_H25.
% 1.08/1.30 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H6].
% 1.08/1.30 cut (((op (e2) (e4)) = (op (op (e1) (e3)) (op (e3) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H2ee].
% 1.08/1.30 congruence.
% 1.08/1.30 elim (classic ((op (op (e1) (e3)) (op (e3) (e1))) = (op (op (e1) (e3)) (op (e3) (e1))))); [ zenon_intro zenon_H2ef | zenon_intro zenon_H2f0 ].
% 1.08/1.30 cut (((op (op (e1) (e3)) (op (e3) (e1))) = (op (op (e1) (e3)) (op (e3) (e1)))) = ((op (e2) (e4)) = (op (op (e1) (e3)) (op (e3) (e1))))).
% 1.08/1.30 intro zenon_D_pnotp.
% 1.08/1.30 apply zenon_H2ee.
% 1.08/1.30 rewrite <- zenon_D_pnotp.
% 1.08/1.30 exact zenon_H2ef.
% 1.08/1.30 cut (((op (op (e1) (e3)) (op (e3) (e1))) = (op (op (e1) (e3)) (op (e3) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H2f0].
% 1.08/1.30 cut (((op (op (e1) (e3)) (op (e3) (e1))) = (op (e2) (e4)))); [idtac | apply NNPP; zenon_intro zenon_H2f1].
% 1.08/1.30 congruence.
% 1.08/1.30 cut (((op (e3) (e1)) = (e4))); [idtac | apply NNPP; zenon_intro zenon_Hae].
% 1.08/1.30 cut (((op (e1) (e3)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H76].
% 1.08/1.30 congruence.
% 1.08/1.30 exact (zenon_H76 zenon_H19).
% 1.08/1.30 exact (zenon_Hae zenon_H29).
% 1.08/1.30 apply zenon_H2f0. apply refl_equal.
% 1.08/1.30 apply zenon_H2f0. apply refl_equal.
% 1.08/1.30 apply zenon_H6. apply refl_equal.
% 1.08/1.30 apply (zenon_notand_s _ _ zenon_H2ec); [ zenon_intro zenon_H2f3 | zenon_intro zenon_H2f2 ].
% 1.08/1.30 cut (((op (e4) (e0)) = (e3)) = ((op (op (e2) (e3)) (op (e3) (e2))) = (e3))).
% 1.08/1.30 intro zenon_D_pnotp.
% 1.08/1.30 apply zenon_H2f3.
% 1.08/1.30 rewrite <- zenon_D_pnotp.
% 1.08/1.30 exact zenon_H31.
% 1.08/1.30 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H6].
% 1.08/1.30 cut (((op (e4) (e0)) = (op (op (e2) (e3)) (op (e3) (e2))))); [idtac | apply NNPP; zenon_intro zenon_H2f4].
% 1.08/1.30 congruence.
% 1.08/1.30 elim (classic ((op (op (e2) (e3)) (op (e3) (e2))) = (op (op (e2) (e3)) (op (e3) (e2))))); [ zenon_intro zenon_H2f5 | zenon_intro zenon_H2f6 ].
% 1.08/1.30 cut (((op (op (e2) (e3)) (op (e3) (e2))) = (op (op (e2) (e3)) (op (e3) (e2)))) = ((op (e4) (e0)) = (op (op (e2) (e3)) (op (e3) (e2))))).
% 1.08/1.30 intro zenon_D_pnotp.
% 1.08/1.30 apply zenon_H2f4.
% 1.08/1.30 rewrite <- zenon_D_pnotp.
% 1.08/1.30 exact zenon_H2f5.
% 1.08/1.30 cut (((op (op (e2) (e3)) (op (e3) (e2))) = (op (op (e2) (e3)) (op (e3) (e2))))); [idtac | apply NNPP; zenon_intro zenon_H2f6].
% 1.08/1.30 cut (((op (op (e2) (e3)) (op (e3) (e2))) = (op (e4) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H2f7].
% 1.08/1.30 congruence.
% 1.08/1.30 cut (((op (e3) (e2)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_Hb5].
% 1.08/1.30 cut (((op (e2) (e3)) = (e4))); [idtac | apply NNPP; zenon_intro zenon_H99].
% 1.08/1.30 congruence.
% 1.08/1.30 exact (zenon_H99 zenon_H23).
% 1.08/1.30 exact (zenon_Hb5 zenon_H2b).
% 1.08/1.30 apply zenon_H2f6. apply refl_equal.
% 1.08/1.30 apply zenon_H2f6. apply refl_equal.
% 1.08/1.30 apply zenon_H6. apply refl_equal.
% 1.08/1.30 apply (zenon_notand_s _ _ zenon_H2f2); [ zenon_intro zenon_H2f9 | zenon_intro zenon_H2f8 ].
% 1.08/1.30 cut (((op (e3) (e3)) = (e3)) = ((op (op (e3) (e3)) (op (e3) (e3))) = (e3))).
% 1.08/1.30 intro zenon_D_pnotp.
% 1.08/1.30 apply zenon_H2f9.
% 1.08/1.30 rewrite <- zenon_D_pnotp.
% 1.08/1.30 exact zenon_H2d.
% 1.08/1.30 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H6].
% 1.08/1.30 cut (((op (e3) (e3)) = (op (op (e3) (e3)) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H2fa].
% 1.08/1.30 congruence.
% 1.08/1.30 elim (classic ((op (op (e3) (e3)) (op (e3) (e3))) = (op (op (e3) (e3)) (op (e3) (e3))))); [ zenon_intro zenon_H2fb | zenon_intro zenon_H2fc ].
% 1.08/1.30 cut (((op (op (e3) (e3)) (op (e3) (e3))) = (op (op (e3) (e3)) (op (e3) (e3)))) = ((op (e3) (e3)) = (op (op (e3) (e3)) (op (e3) (e3))))).
% 1.08/1.30 intro zenon_D_pnotp.
% 1.08/1.30 apply zenon_H2fa.
% 1.08/1.30 rewrite <- zenon_D_pnotp.
% 1.08/1.30 exact zenon_H2fb.
% 1.08/1.30 cut (((op (op (e3) (e3)) (op (e3) (e3))) = (op (op (e3) (e3)) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H2fc].
% 1.08/1.30 cut (((op (op (e3) (e3)) (op (e3) (e3))) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H2fd].
% 1.08/1.30 congruence.
% 1.08/1.30 cut (((op (e3) (e3)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_Hbc].
% 1.08/1.30 cut (((op (e3) (e3)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_Hbc].
% 1.08/1.30 congruence.
% 1.08/1.30 exact (zenon_Hbc zenon_H2d).
% 1.08/1.30 exact (zenon_Hbc zenon_H2d).
% 1.08/1.30 apply zenon_H2fc. apply refl_equal.
% 1.08/1.30 apply zenon_H2fc. apply refl_equal.
% 1.08/1.30 apply zenon_H6. apply refl_equal.
% 1.08/1.30 apply (zenon_notand_s _ _ zenon_H2f8); [ zenon_intro zenon_H2ff | zenon_intro zenon_H2fe ].
% 1.08/1.30 cut (((op (e0) (e1)) = (e3)) = ((op (op (e4) (e3)) (op (e3) (e4))) = (e3))).
% 1.08/1.30 intro zenon_D_pnotp.
% 1.08/1.30 apply zenon_H2ff.
% 1.08/1.30 rewrite <- zenon_D_pnotp.
% 1.08/1.30 exact zenon_Hb.
% 1.08/1.30 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H6].
% 1.08/1.30 cut (((op (e0) (e1)) = (op (op (e4) (e3)) (op (e3) (e4))))); [idtac | apply NNPP; zenon_intro zenon_H300].
% 1.08/1.30 congruence.
% 1.08/1.30 elim (classic ((op (op (e4) (e3)) (op (e3) (e4))) = (op (op (e4) (e3)) (op (e3) (e4))))); [ zenon_intro zenon_H301 | zenon_intro zenon_H302 ].
% 1.08/1.30 cut (((op (op (e4) (e3)) (op (e3) (e4))) = (op (op (e4) (e3)) (op (e3) (e4)))) = ((op (e0) (e1)) = (op (op (e4) (e3)) (op (e3) (e4))))).
% 1.08/1.30 intro zenon_D_pnotp.
% 1.08/1.30 apply zenon_H300.
% 1.08/1.30 rewrite <- zenon_D_pnotp.
% 1.08/1.30 exact zenon_H301.
% 1.08/1.30 cut (((op (op (e4) (e3)) (op (e3) (e4))) = (op (op (e4) (e3)) (op (e3) (e4))))); [idtac | apply NNPP; zenon_intro zenon_H302].
% 1.08/1.30 cut (((op (op (e4) (e3)) (op (e3) (e4))) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H303].
% 1.08/1.30 congruence.
% 1.08/1.30 cut (((op (e3) (e4)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_Hc3].
% 1.08/1.30 cut (((op (e4) (e3)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_Hdf].
% 1.08/1.30 congruence.
% 1.08/1.30 exact (zenon_Hdf zenon_H37).
% 1.08/1.30 exact (zenon_Hc3 zenon_H2f).
% 1.08/1.30 apply zenon_H302. apply refl_equal.
% 1.08/1.30 apply zenon_H302. apply refl_equal.
% 1.08/1.30 apply zenon_H6. apply refl_equal.
% 1.08/1.30 apply (zenon_notand_s _ _ zenon_H2fe); [ zenon_intro zenon_H305 | zenon_intro zenon_H304 ].
% 1.08/1.30 cut (((op (e2) (e3)) = (e4)) = ((op (op (e0) (e4)) (op (e4) (e0))) = (e4))).
% 1.08/1.30 intro zenon_D_pnotp.
% 1.08/1.30 apply zenon_H305.
% 1.08/1.30 rewrite <- zenon_D_pnotp.
% 1.08/1.30 exact zenon_H23.
% 1.08/1.30 cut (((e4) = (e4))); [idtac | apply NNPP; zenon_intro zenon_H7].
% 1.08/1.30 cut (((op (e2) (e3)) = (op (op (e0) (e4)) (op (e4) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H306].
% 1.08/1.30 congruence.
% 1.08/1.30 elim (classic ((op (op (e0) (e4)) (op (e4) (e0))) = (op (op (e0) (e4)) (op (e4) (e0))))); [ zenon_intro zenon_H307 | zenon_intro zenon_H308 ].
% 1.08/1.30 cut (((op (op (e0) (e4)) (op (e4) (e0))) = (op (op (e0) (e4)) (op (e4) (e0)))) = ((op (e2) (e3)) = (op (op (e0) (e4)) (op (e4) (e0))))).
% 1.08/1.30 intro zenon_D_pnotp.
% 1.08/1.30 apply zenon_H306.
% 1.08/1.30 rewrite <- zenon_D_pnotp.
% 1.08/1.30 exact zenon_H307.
% 1.08/1.30 cut (((op (op (e0) (e4)) (op (e4) (e0))) = (op (op (e0) (e4)) (op (e4) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H308].
% 1.08/1.30 cut (((op (op (e0) (e4)) (op (e4) (e0))) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H309].
% 1.08/1.30 congruence.
% 1.08/1.30 cut (((op (e4) (e0)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_Hca].
% 1.08/1.30 cut (((op (e0) (e4)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H5a].
% 1.08/1.30 congruence.
% 1.08/1.30 exact (zenon_H5a zenon_H11).
% 1.08/1.30 exact (zenon_Hca zenon_H31).
% 1.08/1.30 apply zenon_H308. apply refl_equal.
% 1.08/1.30 apply zenon_H308. apply refl_equal.
% 1.08/1.30 apply zenon_H7. apply refl_equal.
% 1.08/1.30 apply (zenon_notand_s _ _ zenon_H304); [ zenon_intro zenon_H30b | zenon_intro zenon_H30a ].
% 1.08/1.30 cut (((op (e0) (e2)) = (e4)) = ((op (op (e1) (e4)) (op (e4) (e1))) = (e4))).
% 1.08/1.30 intro zenon_D_pnotp.
% 1.08/1.30 apply zenon_H30b.
% 1.08/1.30 rewrite <- zenon_D_pnotp.
% 1.08/1.30 exact zenon_Hd.
% 1.08/1.30 cut (((e4) = (e4))); [idtac | apply NNPP; zenon_intro zenon_H7].
% 1.08/1.30 cut (((op (e0) (e2)) = (op (op (e1) (e4)) (op (e4) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H30c].
% 1.08/1.30 congruence.
% 1.08/1.30 elim (classic ((op (op (e1) (e4)) (op (e4) (e1))) = (op (op (e1) (e4)) (op (e4) (e1))))); [ zenon_intro zenon_H30d | zenon_intro zenon_H30e ].
% 1.08/1.30 cut (((op (op (e1) (e4)) (op (e4) (e1))) = (op (op (e1) (e4)) (op (e4) (e1)))) = ((op (e0) (e2)) = (op (op (e1) (e4)) (op (e4) (e1))))).
% 1.08/1.30 intro zenon_D_pnotp.
% 1.08/1.30 apply zenon_H30c.
% 1.08/1.30 rewrite <- zenon_D_pnotp.
% 1.08/1.30 exact zenon_H30d.
% 1.08/1.30 cut (((op (op (e1) (e4)) (op (e4) (e1))) = (op (op (e1) (e4)) (op (e4) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H30e].
% 1.08/1.30 cut (((op (op (e1) (e4)) (op (e4) (e1))) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H30f].
% 1.08/1.30 congruence.
% 1.08/1.30 cut (((op (e4) (e1)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_Hd1].
% 1.08/1.30 cut (((op (e1) (e4)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H7d].
% 1.08/1.30 congruence.
% 1.08/1.30 exact (zenon_H7d zenon_H1b).
% 1.08/1.30 exact (zenon_Hd1 zenon_H33).
% 1.08/1.30 apply zenon_H30e. apply refl_equal.
% 1.08/1.30 apply zenon_H30e. apply refl_equal.
% 1.08/1.30 apply zenon_H7. apply refl_equal.
% 1.08/1.30 apply (zenon_notand_s _ _ zenon_H30a); [ zenon_intro zenon_H311 | zenon_intro zenon_H310 ].
% 1.08/1.30 cut (((op (e3) (e1)) = (e4)) = ((op (op (e2) (e4)) (op (e4) (e2))) = (e4))).
% 1.08/1.30 intro zenon_D_pnotp.
% 1.08/1.30 apply zenon_H311.
% 1.08/1.30 rewrite <- zenon_D_pnotp.
% 1.08/1.30 exact zenon_H29.
% 1.08/1.30 cut (((e4) = (e4))); [idtac | apply NNPP; zenon_intro zenon_H7].
% 1.08/1.30 cut (((op (e3) (e1)) = (op (op (e2) (e4)) (op (e4) (e2))))); [idtac | apply NNPP; zenon_intro zenon_H312].
% 1.08/1.30 congruence.
% 1.08/1.30 elim (classic ((op (op (e2) (e4)) (op (e4) (e2))) = (op (op (e2) (e4)) (op (e4) (e2))))); [ zenon_intro zenon_H313 | zenon_intro zenon_H314 ].
% 1.08/1.30 cut (((op (op (e2) (e4)) (op (e4) (e2))) = (op (op (e2) (e4)) (op (e4) (e2)))) = ((op (e3) (e1)) = (op (op (e2) (e4)) (op (e4) (e2))))).
% 1.08/1.30 intro zenon_D_pnotp.
% 1.08/1.30 apply zenon_H312.
% 1.08/1.30 rewrite <- zenon_D_pnotp.
% 1.08/1.30 exact zenon_H313.
% 1.08/1.30 cut (((op (op (e2) (e4)) (op (e4) (e2))) = (op (op (e2) (e4)) (op (e4) (e2))))); [idtac | apply NNPP; zenon_intro zenon_H314].
% 1.08/1.30 cut (((op (op (e2) (e4)) (op (e4) (e2))) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H315].
% 1.08/1.30 congruence.
% 1.08/1.30 cut (((op (e4) (e2)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_Hd8].
% 1.08/1.30 cut (((op (e2) (e4)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_Ha0].
% 1.08/1.30 congruence.
% 1.08/1.30 exact (zenon_Ha0 zenon_H25).
% 1.08/1.30 exact (zenon_Hd8 zenon_H35).
% 1.08/1.30 apply zenon_H314. apply refl_equal.
% 1.08/1.30 apply zenon_H314. apply refl_equal.
% 1.08/1.30 apply zenon_H7. apply refl_equal.
% 1.08/1.30 apply (zenon_notand_s _ _ zenon_H310); [ zenon_intro zenon_H317 | zenon_intro zenon_H316 ].
% 1.08/1.30 cut (((op (e1) (e0)) = (e4)) = ((op (op (e3) (e4)) (op (e4) (e3))) = (e4))).
% 1.08/1.30 intro zenon_D_pnotp.
% 1.08/1.30 apply zenon_H317.
% 1.08/1.30 rewrite <- zenon_D_pnotp.
% 1.08/1.30 exact zenon_H13.
% 1.08/1.30 cut (((e4) = (e4))); [idtac | apply NNPP; zenon_intro zenon_H7].
% 1.08/1.30 cut (((op (e1) (e0)) = (op (op (e3) (e4)) (op (e4) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H318].
% 1.08/1.30 congruence.
% 1.08/1.30 elim (classic ((op (op (e3) (e4)) (op (e4) (e3))) = (op (op (e3) (e4)) (op (e4) (e3))))); [ zenon_intro zenon_H319 | zenon_intro zenon_H31a ].
% 1.08/1.30 cut (((op (op (e3) (e4)) (op (e4) (e3))) = (op (op (e3) (e4)) (op (e4) (e3)))) = ((op (e1) (e0)) = (op (op (e3) (e4)) (op (e4) (e3))))).
% 1.08/1.30 intro zenon_D_pnotp.
% 1.08/1.30 apply zenon_H318.
% 1.08/1.30 rewrite <- zenon_D_pnotp.
% 1.08/1.30 exact zenon_H319.
% 1.08/1.30 cut (((op (op (e3) (e4)) (op (e4) (e3))) = (op (op (e3) (e4)) (op (e4) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H31a].
% 1.08/1.30 cut (((op (op (e3) (e4)) (op (e4) (e3))) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H31b].
% 1.08/1.30 congruence.
% 1.08/1.30 cut (((op (e4) (e3)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_Hdf].
% 1.08/1.30 cut (((op (e3) (e4)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_Hc3].
% 1.08/1.30 congruence.
% 1.08/1.30 exact (zenon_Hc3 zenon_H2f).
% 1.08/1.30 exact (zenon_Hdf zenon_H37).
% 1.08/1.30 apply zenon_H31a. apply refl_equal.
% 1.08/1.30 apply zenon_H31a. apply refl_equal.
% 1.08/1.30 apply zenon_H7. apply refl_equal.
% 1.08/1.30 cut (((op (e4) (e4)) = (e4)) = ((op (op (e4) (e4)) (op (e4) (e4))) = (e4))).
% 1.08/1.30 intro zenon_D_pnotp.
% 1.08/1.30 apply zenon_H316.
% 1.08/1.30 rewrite <- zenon_D_pnotp.
% 1.08/1.30 exact zenon_H36.
% 1.08/1.30 cut (((e4) = (e4))); [idtac | apply NNPP; zenon_intro zenon_H7].
% 1.08/1.30 cut (((op (e4) (e4)) = (op (op (e4) (e4)) (op (e4) (e4))))); [idtac | apply NNPP; zenon_intro zenon_H31c].
% 1.08/1.30 congruence.
% 1.08/1.30 elim (classic ((op (op (e4) (e4)) (op (e4) (e4))) = (op (op (e4) (e4)) (op (e4) (e4))))); [ zenon_intro zenon_H31d | zenon_intro zenon_H31e ].
% 1.08/1.30 cut (((op (op (e4) (e4)) (op (e4) (e4))) = (op (op (e4) (e4)) (op (e4) (e4)))) = ((op (e4) (e4)) = (op (op (e4) (e4)) (op (e4) (e4))))).
% 1.08/1.30 intro zenon_D_pnotp.
% 1.08/1.30 apply zenon_H31c.
% 1.08/1.30 rewrite <- zenon_D_pnotp.
% 1.08/1.30 exact zenon_H31d.
% 1.08/1.30 cut (((op (op (e4) (e4)) (op (e4) (e4))) = (op (op (e4) (e4)) (op (e4) (e4))))); [idtac | apply NNPP; zenon_intro zenon_H31e].
% 1.08/1.30 cut (((op (op (e4) (e4)) (op (e4) (e4))) = (op (e4) (e4)))); [idtac | apply NNPP; zenon_intro zenon_H31f].
% 1.08/1.30 congruence.
% 1.08/1.30 cut (((op (e4) (e4)) = (e4))); [idtac | apply NNPP; zenon_intro zenon_He6].
% 1.08/1.30 cut (((op (e4) (e4)) = (e4))); [idtac | apply NNPP; zenon_intro zenon_He6].
% 1.08/1.30 congruence.
% 1.08/1.30 exact (zenon_He6 zenon_H36).
% 1.08/1.30 exact (zenon_He6 zenon_H36).
% 1.08/1.30 apply zenon_H31e. apply refl_equal.
% 1.08/1.30 apply zenon_H31e. apply refl_equal.
% 1.08/1.30 apply zenon_H7. apply refl_equal.
% 1.08/1.30 Qed.
% 1.08/1.30 % SZS output end Proof
% 1.08/1.30 (* END-PROOF *)
% 1.08/1.30 nodes searched: 6033
% 1.08/1.30 max branch formulas: 145
% 1.08/1.30 proof nodes created: 332
% 1.08/1.30 formulas created: 19812
% 1.08/1.30
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