%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : ALG037+1 : TPTP v8.1.0. Released v2.7.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n020.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 600s % DateTime : Thu Jul 14 18:29:03 EDT 2022 % Result : Theorem 196.24s 196.44s % Output : Proof 196.48s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : ALG037+1 : TPTP v8.1.0. Released v2.7.0. % 0.03/0.13 % Command : run_zenon %s %d % 0.13/0.34 % Computer : n020.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 20:16:21 EDT 2022 % 0.13/0.34 % CPUTime : % 196.24/196.44 (* PROOF-FOUND *) % 196.24/196.44 % SZS status Theorem % 196.24/196.44 (* BEGIN-PROOF *) % 196.24/196.44 % SZS output start Proof % 196.24/196.44 Theorem co1 : ((((h1 (op1 (e10) (e10))) = (op2 (h1 (e10)) (h1 (e10))))/\(((h1 (op1 (e10) (e11))) = (op2 (h1 (e10)) (h1 (e11))))/\(((h1 (op1 (e10) (e12))) = (op2 (h1 (e10)) (h1 (e12))))/\(((h1 (op1 (e10) (e13))) = (op2 (h1 (e10)) (h1 (e13))))/\(((h1 (op1 (e11) (e10))) = (op2 (h1 (e11)) (h1 (e10))))/\(((h1 (op1 (e11) (e11))) = (op2 (h1 (e11)) (h1 (e11))))/\(((h1 (op1 (e11) (e12))) = (op2 (h1 (e11)) (h1 (e12))))/\(((h1 (op1 (e11) (e13))) = (op2 (h1 (e11)) (h1 (e13))))/\(((h1 (op1 (e12) (e10))) = (op2 (h1 (e12)) (h1 (e10))))/\(((h1 (op1 (e12) (e11))) = (op2 (h1 (e12)) (h1 (e11))))/\(((h1 (op1 (e12) (e12))) = (op2 (h1 (e12)) (h1 (e12))))/\(((h1 (op1 (e12) (e13))) = (op2 (h1 (e12)) (h1 (e13))))/\(((h1 (op1 (e13) (e10))) = (op2 (h1 (e13)) (h1 (e10))))/\(((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11))))/\(((h1 (op1 (e13) (e12))) = (op2 (h1 (e13)) (h1 (e12))))/\(((h1 (op1 (e13) (e13))) = (op2 (h1 (e13)) (h1 (e13))))/\((((h1 (e10)) = (e20))\/(((h1 (e11)) = (e20))\/(((h1 (e12)) = (e20))\/((h1 (e13)) = (e20)))))/\((((h1 (e10)) = (e21))\/(((h1 (e11)) = (e21))\/(((h1 (e12)) = (e21))\/((h1 (e13)) = (e21)))))/\((((h1 (e10)) = (e22))\/(((h1 (e11)) = (e22))\/(((h1 (e12)) = (e22))\/((h1 (e13)) = (e22)))))/\(((h1 (e10)) = (e23))\/(((h1 (e11)) = (e23))\/(((h1 (e12)) = (e23))\/((h1 (e13)) = (e23))))))))))))))))))))))))\/((((h2 (op1 (e10) (e10))) = (op2 (h2 (e10)) (h2 (e10))))/\(((h2 (op1 (e10) (e11))) = (op2 (h2 (e10)) (h2 (e11))))/\(((h2 (op1 (e10) (e12))) = (op2 (h2 (e10)) (h2 (e12))))/\(((h2 (op1 (e10) (e13))) = (op2 (h2 (e10)) (h2 (e13))))/\(((h2 (op1 (e11) (e10))) = (op2 (h2 (e11)) (h2 (e10))))/\(((h2 (op1 (e11) (e11))) = (op2 (h2 (e11)) (h2 (e11))))/\(((h2 (op1 (e11) (e12))) = (op2 (h2 (e11)) (h2 (e12))))/\(((h2 (op1 (e11) (e13))) = (op2 (h2 (e11)) (h2 (e13))))/\(((h2 (op1 (e12) (e10))) = (op2 (h2 (e12)) (h2 (e10))))/\(((h2 (op1 (e12) (e11))) = (op2 (h2 (e12)) (h2 (e11))))/\(((h2 (op1 (e12) (e12))) = (op2 (h2 (e12)) (h2 (e12))))/\(((h2 (op1 (e12) (e13))) = (op2 (h2 (e12)) (h2 (e13))))/\(((h2 (op1 (e13) (e10))) = (op2 (h2 (e13)) (h2 (e10))))/\(((h2 (op1 (e13) (e11))) = (op2 (h2 (e13)) (h2 (e11))))/\(((h2 (op1 (e13) (e12))) = (op2 (h2 (e13)) (h2 (e12))))/\(((h2 (op1 (e13) (e13))) = (op2 (h2 (e13)) (h2 (e13))))/\((((h2 (e10)) = (e20))\/(((h2 (e11)) = (e20))\/(((h2 (e12)) = (e20))\/((h2 (e13)) = (e20)))))/\((((h2 (e10)) = (e21))\/(((h2 (e11)) = (e21))\/(((h2 (e12)) = (e21))\/((h2 (e13)) = (e21)))))/\((((h2 (e10)) = (e22))\/(((h2 (e11)) = (e22))\/(((h2 (e12)) = (e22))\/((h2 (e13)) = (e22)))))/\(((h2 (e10)) = (e23))\/(((h2 (e11)) = (e23))\/(((h2 (e12)) = (e23))\/((h2 (e13)) = (e23))))))))))))))))))))))))\/((((h3 (op1 (e10) (e10))) = (op2 (h3 (e10)) (h3 (e10))))/\(((h3 (op1 (e10) (e11))) = (op2 (h3 (e10)) (h3 (e11))))/\(((h3 (op1 (e10) (e12))) = (op2 (h3 (e10)) (h3 (e12))))/\(((h3 (op1 (e10) (e13))) = (op2 (h3 (e10)) (h3 (e13))))/\(((h3 (op1 (e11) (e10))) = (op2 (h3 (e11)) (h3 (e10))))/\(((h3 (op1 (e11) (e11))) = (op2 (h3 (e11)) (h3 (e11))))/\(((h3 (op1 (e11) (e12))) = (op2 (h3 (e11)) (h3 (e12))))/\(((h3 (op1 (e11) (e13))) = (op2 (h3 (e11)) (h3 (e13))))/\(((h3 (op1 (e12) (e10))) = (op2 (h3 (e12)) (h3 (e10))))/\(((h3 (op1 (e12) (e11))) = (op2 (h3 (e12)) (h3 (e11))))/\(((h3 (op1 (e12) (e12))) = (op2 (h3 (e12)) (h3 (e12))))/\(((h3 (op1 (e12) (e13))) = (op2 (h3 (e12)) (h3 (e13))))/\(((h3 (op1 (e13) (e10))) = (op2 (h3 (e13)) (h3 (e10))))/\(((h3 (op1 (e13) (e11))) = (op2 (h3 (e13)) (h3 (e11))))/\(((h3 (op1 (e13) (e12))) = (op2 (h3 (e13)) (h3 (e12))))/\(((h3 (op1 (e13) (e13))) = (op2 (h3 (e13)) (h3 (e13))))/\((((h3 (e10)) = (e20))\/(((h3 (e11)) = (e20))\/(((h3 (e12)) = (e20))\/((h3 (e13)) = (e20)))))/\((((h3 (e10)) = (e21))\/(((h3 (e11)) = (e21))\/(((h3 (e12)) = (e21))\/((h3 (e13)) = (e21)))))/\((((h3 (e10)) = (e22))\/(((h3 (e11)) = (e22))\/(((h3 (e12)) = (e22))\/((h3 (e13)) = (e22)))))/\(((h3 (e10)) = (e23))\/(((h3 (e11)) = (e23))\/(((h3 (e12)) = (e23))\/((h3 (e13)) = (e23))))))))))))))))))))))))\/((((h4 (op1 (e10) (e10))) = (op2 (h4 (e10)) (h4 (e10))))/\(((h4 (op1 (e10) (e11))) = (op2 (h4 (e10)) (h4 (e11))))/\(((h4 (op1 (e10) (e12))) = (op2 (h4 (e10)) (h4 (e12))))/\(((h4 (op1 (e10) (e13))) = (op2 (h4 (e10)) (h4 (e13))))/\(((h4 (op1 (e11) (e10))) = (op2 (h4 (e11)) (h4 (e10))))/\(((h4 (op1 (e11) (e11))) = (op2 (h4 (e11)) (h4 (e11))))/\(((h4 (op1 (e11) (e12))) = (op2 (h4 (e11)) (h4 (e12))))/\(((h4 (op1 (e11) (e13))) = (op2 (h4 (e11)) (h4 (e13))))/\(((h4 (op1 (e12) (e10))) = (op2 (h4 (e12)) (h4 (e10))))/\(((h4 (op1 (e12) (e11))) = (op2 (h4 (e12)) (h4 (e11))))/\(((h4 (op1 (e12) (e12))) = (op2 (h4 (e12)) (h4 (e12))))/\(((h4 (op1 (e12) (e13))) = (op2 (h4 (e12)) (h4 (e13))))/\(((h4 (op1 (e13) (e10))) = (op2 (h4 (e13)) (h4 (e10))))/\(((h4 (op1 (e13) (e11))) = (op2 (h4 (e13)) (h4 (e11))))/\(((h4 (op1 (e13) (e12))) = (op2 (h4 (e13)) (h4 (e12))))/\(((h4 (op1 (e13) (e13))) = (op2 (h4 (e13)) (h4 (e13))))/\((((h4 (e10)) = (e20))\/(((h4 (e11)) = (e20))\/(((h4 (e12)) = (e20))\/((h4 (e13)) = (e20)))))/\((((h4 (e10)) = (e21))\/(((h4 (e11)) = (e21))\/(((h4 (e12)) = (e21))\/((h4 (e13)) = (e21)))))/\((((h4 (e10)) = (e22))\/(((h4 (e11)) = (e22))\/(((h4 (e12)) = (e22))\/((h4 (e13)) = (e22)))))/\(((h4 (e10)) = (e23))\/(((h4 (e11)) = (e23))\/(((h4 (e12)) = (e23))\/((h4 (e13)) = (e23))))))))))))))))))))))))\/((((h5 (op1 (e10) (e10))) = (op2 (h5 (e10)) (h5 (e10))))/\(((h5 (op1 (e10) (e11))) = (op2 (h5 (e10)) (h5 (e11))))/\(((h5 (op1 (e10) (e12))) = (op2 (h5 (e10)) (h5 (e12))))/\(((h5 (op1 (e10) (e13))) = (op2 (h5 (e10)) (h5 (e13))))/\(((h5 (op1 (e11) (e10))) = (op2 (h5 (e11)) (h5 (e10))))/\(((h5 (op1 (e11) (e11))) = (op2 (h5 (e11)) (h5 (e11))))/\(((h5 (op1 (e11) (e12))) = (op2 (h5 (e11)) (h5 (e12))))/\(((h5 (op1 (e11) (e13))) = (op2 (h5 (e11)) (h5 (e13))))/\(((h5 (op1 (e12) (e10))) = (op2 (h5 (e12)) (h5 (e10))))/\(((h5 (op1 (e12) (e11))) = (op2 (h5 (e12)) (h5 (e11))))/\(((h5 (op1 (e12) (e12))) = (op2 (h5 (e12)) (h5 (e12))))/\(((h5 (op1 (e12) (e13))) = (op2 (h5 (e12)) (h5 (e13))))/\(((h5 (op1 (e13) (e10))) = (op2 (h5 (e13)) (h5 (e10))))/\(((h5 (op1 (e13) (e11))) = (op2 (h5 (e13)) (h5 (e11))))/\(((h5 (op1 (e13) (e12))) = (op2 (h5 (e13)) (h5 (e12))))/\(((h5 (op1 (e13) (e13))) = (op2 (h5 (e13)) (h5 (e13))))/\((((h5 (e10)) = (e20))\/(((h5 (e11)) = (e20))\/(((h5 (e12)) = (e20))\/((h5 (e13)) = (e20)))))/\((((h5 (e10)) = (e21))\/(((h5 (e11)) = (e21))\/(((h5 (e12)) = (e21))\/((h5 (e13)) = (e21)))))/\((((h5 (e10)) = (e22))\/(((h5 (e11)) = (e22))\/(((h5 (e12)) = (e22))\/((h5 (e13)) = (e22)))))/\(((h5 (e10)) = (e23))\/(((h5 (e11)) = (e23))\/(((h5 (e12)) = (e23))\/((h5 (e13)) = (e23))))))))))))))))))))))))\/((((h6 (op1 (e10) (e10))) = (op2 (h6 (e10)) (h6 (e10))))/\(((h6 (op1 (e10) (e11))) = (op2 (h6 (e10)) (h6 (e11))))/\(((h6 (op1 (e10) (e12))) = (op2 (h6 (e10)) (h6 (e12))))/\(((h6 (op1 (e10) (e13))) = (op2 (h6 (e10)) (h6 (e13))))/\(((h6 (op1 (e11) (e10))) = (op2 (h6 (e11)) (h6 (e10))))/\(((h6 (op1 (e11) (e11))) = (op2 (h6 (e11)) (h6 (e11))))/\(((h6 (op1 (e11) (e12))) = (op2 (h6 (e11)) (h6 (e12))))/\(((h6 (op1 (e11) (e13))) = (op2 (h6 (e11)) (h6 (e13))))/\(((h6 (op1 (e12) (e10))) = (op2 (h6 (e12)) (h6 (e10))))/\(((h6 (op1 (e12) (e11))) = (op2 (h6 (e12)) (h6 (e11))))/\(((h6 (op1 (e12) (e12))) = (op2 (h6 (e12)) (h6 (e12))))/\(((h6 (op1 (e12) (e13))) = (op2 (h6 (e12)) (h6 (e13))))/\(((h6 (op1 (e13) (e10))) = (op2 (h6 (e13)) (h6 (e10))))/\(((h6 (op1 (e13) (e11))) = (op2 (h6 (e13)) (h6 (e11))))/\(((h6 (op1 (e13) (e12))) = (op2 (h6 (e13)) (h6 (e12))))/\(((h6 (op1 (e13) (e13))) = (op2 (h6 (e13)) (h6 (e13))))/\((((h6 (e10)) = (e20))\/(((h6 (e11)) = (e20))\/(((h6 (e12)) = (e20))\/((h6 (e13)) = (e20)))))/\((((h6 (e10)) = (e21))\/(((h6 (e11)) = (e21))\/(((h6 (e12)) = (e21))\/((h6 (e13)) = (e21)))))/\((((h6 (e10)) = (e22))\/(((h6 (e11)) = (e22))\/(((h6 (e12)) = (e22))\/((h6 (e13)) = (e22)))))/\(((h6 (e10)) = (e23))\/(((h6 (e11)) = (e23))\/(((h6 (e12)) = (e23))\/((h6 (e13)) = (e23))))))))))))))))))))))))\/((((h7 (op1 (e10) (e10))) = (op2 (h7 (e10)) (h7 (e10))))/\(((h7 (op1 (e10) (e11))) = (op2 (h7 (e10)) (h7 (e11))))/\(((h7 (op1 (e10) (e12))) = (op2 (h7 (e10)) (h7 (e12))))/\(((h7 (op1 (e10) (e13))) = (op2 (h7 (e10)) (h7 (e13))))/\(((h7 (op1 (e11) (e10))) = (op2 (h7 (e11)) (h7 (e10))))/\(((h7 (op1 (e11) (e11))) = (op2 (h7 (e11)) (h7 (e11))))/\(((h7 (op1 (e11) (e12))) = (op2 (h7 (e11)) (h7 (e12))))/\(((h7 (op1 (e11) (e13))) = (op2 (h7 (e11)) (h7 (e13))))/\(((h7 (op1 (e12) (e10))) = (op2 (h7 (e12)) (h7 (e10))))/\(((h7 (op1 (e12) (e11))) = (op2 (h7 (e12)) (h7 (e11))))/\(((h7 (op1 (e12) (e12))) = (op2 (h7 (e12)) (h7 (e12))))/\(((h7 (op1 (e12) (e13))) = (op2 (h7 (e12)) (h7 (e13))))/\(((h7 (op1 (e13) (e10))) = (op2 (h7 (e13)) (h7 (e10))))/\(((h7 (op1 (e13) (e11))) = (op2 (h7 (e13)) (h7 (e11))))/\(((h7 (op1 (e13) (e12))) = (op2 (h7 (e13)) (h7 (e12))))/\(((h7 (op1 (e13) (e13))) = (op2 (h7 (e13)) (h7 (e13))))/\((((h7 (e10)) = (e20))\/(((h7 (e11)) = (e20))\/(((h7 (e12)) = (e20))\/((h7 (e13)) = (e20)))))/\((((h7 (e10)) = (e21))\/(((h7 (e11)) = (e21))\/(((h7 (e12)) = (e21))\/((h7 (e13)) = (e21)))))/\((((h7 (e10)) = (e22))\/(((h7 (e11)) = (e22))\/(((h7 (e12)) = (e22))\/((h7 (e13)) = (e22)))))/\(((h7 (e10)) = (e23))\/(((h7 (e11)) = (e23))\/(((h7 (e12)) = (e23))\/((h7 (e13)) = (e23))))))))))))))))))))))))\/((((h8 (op1 (e10) (e10))) = (op2 (h8 (e10)) (h8 (e10))))/\(((h8 (op1 (e10) (e11))) = (op2 (h8 (e10)) (h8 (e11))))/\(((h8 (op1 (e10) (e12))) = (op2 (h8 (e10)) (h8 (e12))))/\(((h8 (op1 (e10) (e13))) = (op2 (h8 (e10)) (h8 (e13))))/\(((h8 (op1 (e11) (e10))) = (op2 (h8 (e11)) (h8 (e10))))/\(((h8 (op1 (e11) (e11))) = (op2 (h8 (e11)) (h8 (e11))))/\(((h8 (op1 (e11) (e12))) = (op2 (h8 (e11)) (h8 (e12))))/\(((h8 (op1 (e11) (e13))) = (op2 (h8 (e11)) (h8 (e13))))/\(((h8 (op1 (e12) (e10))) = (op2 (h8 (e12)) (h8 (e10))))/\(((h8 (op1 (e12) (e11))) = (op2 (h8 (e12)) (h8 (e11))))/\(((h8 (op1 (e12) (e12))) = (op2 (h8 (e12)) (h8 (e12))))/\(((h8 (op1 (e12) (e13))) = (op2 (h8 (e12)) (h8 (e13))))/\(((h8 (op1 (e13) (e10))) = (op2 (h8 (e13)) (h8 (e10))))/\(((h8 (op1 (e13) (e11))) = (op2 (h8 (e13)) (h8 (e11))))/\(((h8 (op1 (e13) (e12))) = (op2 (h8 (e13)) (h8 (e12))))/\(((h8 (op1 (e13) (e13))) = (op2 (h8 (e13)) (h8 (e13))))/\((((h8 (e10)) = (e20))\/(((h8 (e11)) = (e20))\/(((h8 (e12)) = (e20))\/((h8 (e13)) = (e20)))))/\((((h8 (e10)) = (e21))\/(((h8 (e11)) = (e21))\/(((h8 (e12)) = (e21))\/((h8 (e13)) = (e21)))))/\((((h8 (e10)) = (e22))\/(((h8 (e11)) = (e22))\/(((h8 (e12)) = (e22))\/((h8 (e13)) = (e22)))))/\(((h8 (e10)) = (e23))\/(((h8 (e11)) = (e23))\/(((h8 (e12)) = (e23))\/((h8 (e13)) = (e23))))))))))))))))))))))))\/((((h9 (op1 (e10) (e10))) = (op2 (h9 (e10)) (h9 (e10))))/\(((h9 (op1 (e10) (e11))) = (op2 (h9 (e10)) (h9 (e11))))/\(((h9 (op1 (e10) (e12))) = (op2 (h9 (e10)) (h9 (e12))))/\(((h9 (op1 (e10) (e13))) = (op2 (h9 (e10)) (h9 (e13))))/\(((h9 (op1 (e11) (e10))) = (op2 (h9 (e11)) (h9 (e10))))/\(((h9 (op1 (e11) (e11))) = (op2 (h9 (e11)) (h9 (e11))))/\(((h9 (op1 (e11) (e12))) = (op2 (h9 (e11)) (h9 (e12))))/\(((h9 (op1 (e11) (e13))) = (op2 (h9 (e11)) (h9 (e13))))/\(((h9 (op1 (e12) (e10))) = (op2 (h9 (e12)) (h9 (e10))))/\(((h9 (op1 (e12) (e11))) = (op2 (h9 (e12)) (h9 (e11))))/\(((h9 (op1 (e12) (e12))) = (op2 (h9 (e12)) (h9 (e12))))/\(((h9 (op1 (e12) (e13))) = (op2 (h9 (e12)) (h9 (e13))))/\(((h9 (op1 (e13) (e10))) = (op2 (h9 (e13)) (h9 (e10))))/\(((h9 (op1 (e13) (e11))) = (op2 (h9 (e13)) (h9 (e11))))/\(((h9 (op1 (e13) (e12))) = (op2 (h9 (e13)) (h9 (e12))))/\(((h9 (op1 (e13) (e13))) = (op2 (h9 (e13)) (h9 (e13))))/\((((h9 (e10)) = (e20))\/(((h9 (e11)) = (e20))\/(((h9 (e12)) = (e20))\/((h9 (e13)) = (e20)))))/\((((h9 (e10)) = (e21))\/(((h9 (e11)) = (e21))\/(((h9 (e12)) = (e21))\/((h9 (e13)) = (e21)))))/\((((h9 (e10)) = (e22))\/(((h9 (e11)) = (e22))\/(((h9 (e12)) = (e22))\/((h9 (e13)) = (e22)))))/\(((h9 (e10)) = (e23))\/(((h9 (e11)) = (e23))\/(((h9 (e12)) = (e23))\/((h9 (e13)) = (e23))))))))))))))))))))))))\/((((h10 (op1 (e10) (e10))) = (op2 (h10 (e10)) (h10 (e10))))/\(((h10 (op1 (e10) (e11))) = (op2 (h10 (e10)) (h10 (e11))))/\(((h10 (op1 (e10) (e12))) = (op2 (h10 (e10)) (h10 (e12))))/\(((h10 (op1 (e10) (e13))) = (op2 (h10 (e10)) (h10 (e13))))/\(((h10 (op1 (e11) (e10))) = (op2 (h10 (e11)) (h10 (e10))))/\(((h10 (op1 (e11) (e11))) = (op2 (h10 (e11)) (h10 (e11))))/\(((h10 (op1 (e11) (e12))) = (op2 (h10 (e11)) (h10 (e12))))/\(((h10 (op1 (e11) (e13))) = (op2 (h10 (e11)) (h10 (e13))))/\(((h10 (op1 (e12) (e10))) = (op2 (h10 (e12)) (h10 (e10))))/\(((h10 (op1 (e12) (e11))) = (op2 (h10 (e12)) (h10 (e11))))/\(((h10 (op1 (e12) (e12))) = (op2 (h10 (e12)) (h10 (e12))))/\(((h10 (op1 (e12) (e13))) = (op2 (h10 (e12)) (h10 (e13))))/\(((h10 (op1 (e13) (e10))) = (op2 (h10 (e13)) (h10 (e10))))/\(((h10 (op1 (e13) (e11))) = (op2 (h10 (e13)) (h10 (e11))))/\(((h10 (op1 (e13) (e12))) = (op2 (h10 (e13)) (h10 (e12))))/\(((h10 (op1 (e13) (e13))) = (op2 (h10 (e13)) (h10 (e13))))/\((((h10 (e10)) = (e20))\/(((h10 (e11)) = (e20))\/(((h10 (e12)) = (e20))\/((h10 (e13)) = (e20)))))/\((((h10 (e10)) = (e21))\/(((h10 (e11)) = (e21))\/(((h10 (e12)) = (e21))\/((h10 (e13)) = (e21)))))/\((((h10 (e10)) = (e22))\/(((h10 (e11)) = (e22))\/(((h10 (e12)) = (e22))\/((h10 (e13)) = (e22)))))/\(((h10 (e10)) = (e23))\/(((h10 (e11)) = (e23))\/(((h10 (e12)) = (e23))\/((h10 (e13)) = (e23))))))))))))))))))))))))\/((((h11 (op1 (e10) (e10))) = (op2 (h11 (e10)) (h11 (e10))))/\(((h11 (op1 (e10) (e11))) = (op2 (h11 (e10)) (h11 (e11))))/\(((h11 (op1 (e10) (e12))) = (op2 (h11 (e10)) (h11 (e12))))/\(((h11 (op1 (e10) (e13))) = (op2 (h11 (e10)) (h11 (e13))))/\(((h11 (op1 (e11) (e10))) = (op2 (h11 (e11)) (h11 (e10))))/\(((h11 (op1 (e11) (e11))) = (op2 (h11 (e11)) (h11 (e11))))/\(((h11 (op1 (e11) (e12))) = (op2 (h11 (e11)) (h11 (e12))))/\(((h11 (op1 (e11) (e13))) = (op2 (h11 (e11)) (h11 (e13))))/\(((h11 (op1 (e12) (e10))) = (op2 (h11 (e12)) (h11 (e10))))/\(((h11 (op1 (e12) (e11))) = (op2 (h11 (e12)) (h11 (e11))))/\(((h11 (op1 (e12) (e12))) = (op2 (h11 (e12)) (h11 (e12))))/\(((h11 (op1 (e12) (e13))) = (op2 (h11 (e12)) (h11 (e13))))/\(((h11 (op1 (e13) (e10))) = (op2 (h11 (e13)) (h11 (e10))))/\(((h11 (op1 (e13) (e11))) = (op2 (h11 (e13)) (h11 (e11))))/\(((h11 (op1 (e13) (e12))) = (op2 (h11 (e13)) (h11 (e12))))/\(((h11 (op1 (e13) (e13))) = (op2 (h11 (e13)) (h11 (e13))))/\((((h11 (e10)) = (e20))\/(((h11 (e11)) = (e20))\/(((h11 (e12)) = (e20))\/((h11 (e13)) = (e20)))))/\((((h11 (e10)) = (e21))\/(((h11 (e11)) = (e21))\/(((h11 (e12)) = (e21))\/((h11 (e13)) = (e21)))))/\((((h11 (e10)) = (e22))\/(((h11 (e11)) = (e22))\/(((h11 (e12)) = (e22))\/((h11 (e13)) = (e22)))))/\(((h11 (e10)) = (e23))\/(((h11 (e11)) = (e23))\/(((h11 (e12)) = (e23))\/((h11 (e13)) = (e23))))))))))))))))))))))))\/(((h12 (op1 (e10) (e10))) = (op2 (h12 (e10)) (h12 (e10))))/\(((h12 (op1 (e10) (e11))) = (op2 (h12 (e10)) (h12 (e11))))/\(((h12 (op1 (e10) (e12))) = (op2 (h12 (e10)) (h12 (e12))))/\(((h12 (op1 (e10) (e13))) = (op2 (h12 (e10)) (h12 (e13))))/\(((h12 (op1 (e11) (e10))) = (op2 (h12 (e11)) (h12 (e10))))/\(((h12 (op1 (e11) (e11))) = (op2 (h12 (e11)) (h12 (e11))))/\(((h12 (op1 (e11) (e12))) = (op2 (h12 (e11)) (h12 (e12))))/\(((h12 (op1 (e11) (e13))) = (op2 (h12 (e11)) (h12 (e13))))/\(((h12 (op1 (e12) (e10))) = (op2 (h12 (e12)) (h12 (e10))))/\(((h12 (op1 (e12) (e11))) = (op2 (h12 (e12)) (h12 (e11))))/\(((h12 (op1 (e12) (e12))) = (op2 (h12 (e12)) (h12 (e12))))/\(((h12 (op1 (e12) (e13))) = (op2 (h12 (e12)) (h12 (e13))))/\(((h12 (op1 (e13) (e10))) = (op2 (h12 (e13)) (h12 (e10))))/\(((h12 (op1 (e13) (e11))) = (op2 (h12 (e13)) (h12 (e11))))/\(((h12 (op1 (e13) (e12))) = (op2 (h12 (e13)) (h12 (e12))))/\(((h12 (op1 (e13) (e13))) = (op2 (h12 (e13)) (h12 (e13))))/\((((h12 (e10)) = (e20))\/(((h12 (e11)) = (e20))\/(((h12 (e12)) = (e20))\/((h12 (e13)) = (e20)))))/\((((h12 (e10)) = (e21))\/(((h12 (e11)) = (e21))\/(((h12 (e12)) = (e21))\/((h12 (e13)) = (e21)))))/\((((h12 (e10)) = (e22))\/(((h12 (e11)) = (e22))\/(((h12 (e12)) = (e22))\/((h12 (e13)) = (e22)))))/\(((h12 (e10)) = (e23))\/(((h12 (e11)) = (e23))\/(((h12 (e12)) = (e23))\/((h12 (e13)) = (e23))))))))))))))))))))))))))))))))))). % 196.24/196.44 Proof. % 196.24/196.44 assert (zenon_L1_ : (~((e23) = (e23))) -> False). % 196.24/196.44 do 0 intro. intros zenon_H1c. % 196.24/196.44 apply zenon_H1c. apply refl_equal. % 196.24/196.44 (* end of lemma zenon_L1_ *) % 196.24/196.44 assert (zenon_L2_ : (~((op2 (e20) (e23)) = (op2 (unit2) (e23)))) -> ((unit2) = (e20)) -> False). % 196.24/196.44 do 0 intro. intros zenon_H1d zenon_H1e. % 196.24/196.44 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H1c]. % 196.24/196.44 cut (((e20) = (unit2))); [idtac | apply NNPP; zenon_intro zenon_H1f]. % 196.24/196.44 congruence. % 196.24/196.44 apply zenon_H1f. apply sym_equal. exact zenon_H1e. % 196.24/196.44 apply zenon_H1c. apply refl_equal. % 196.24/196.44 (* end of lemma zenon_L2_ *) % 196.24/196.44 assert (zenon_L3_ : ((op2 (unit2) (e23)) = (e23)) -> ((unit2) = (e20)) -> ((op2 (e20) (e21)) = (e23)) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False). % 196.24/196.44 do 0 intro. intros zenon_H20 zenon_H1e zenon_H21 zenon_H22. % 196.24/196.44 elim (classic ((op2 (e20) (e23)) = (op2 (e20) (e23)))); [ zenon_intro zenon_H23 | zenon_intro zenon_H24 ]. % 196.24/196.44 cut (((op2 (e20) (e23)) = (op2 (e20) (e23))) = ((op2 (e20) (e21)) = (op2 (e20) (e23)))). % 196.24/196.44 intro zenon_D_pnotp. % 196.24/196.44 apply zenon_H22. % 196.24/196.44 rewrite <- zenon_D_pnotp. % 196.24/196.44 exact zenon_H23. % 196.24/196.44 cut (((op2 (e20) (e23)) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H24]. % 196.24/196.44 cut (((op2 (e20) (e23)) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H25]. % 196.24/196.44 congruence. % 196.24/196.44 cut (((op2 (unit2) (e23)) = (e23)) = ((op2 (e20) (e23)) = (op2 (e20) (e21)))). % 196.24/196.44 intro zenon_D_pnotp. % 196.24/196.44 apply zenon_H25. % 196.24/196.44 rewrite <- zenon_D_pnotp. % 196.24/196.44 exact zenon_H20. % 196.24/196.44 cut (((e23) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H26]. % 196.24/196.44 cut (((op2 (unit2) (e23)) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H27]. % 196.24/196.44 congruence. % 196.24/196.44 elim (classic ((op2 (e20) (e23)) = (op2 (e20) (e23)))); [ zenon_intro zenon_H23 | zenon_intro zenon_H24 ]. % 196.24/196.44 cut (((op2 (e20) (e23)) = (op2 (e20) (e23))) = ((op2 (unit2) (e23)) = (op2 (e20) (e23)))). % 196.24/196.44 intro zenon_D_pnotp. % 196.24/196.44 apply zenon_H27. % 196.24/196.44 rewrite <- zenon_D_pnotp. % 196.24/196.44 exact zenon_H23. % 196.24/196.44 cut (((op2 (e20) (e23)) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H24]. % 196.24/196.44 cut (((op2 (e20) (e23)) = (op2 (unit2) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H1d]. % 196.24/196.44 congruence. % 196.24/196.44 apply (zenon_L2_); trivial. % 196.24/196.44 apply zenon_H24. apply refl_equal. % 196.24/196.44 apply zenon_H24. apply refl_equal. % 196.24/196.44 apply zenon_H26. apply sym_equal. exact zenon_H21. % 196.24/196.44 apply zenon_H24. apply refl_equal. % 196.24/196.44 apply zenon_H24. apply refl_equal. % 196.24/196.44 (* end of lemma zenon_L3_ *) % 196.24/196.44 assert (zenon_L4_ : (~((e20) = (e20))) -> False). % 196.24/196.44 do 0 intro. intros zenon_H28. % 196.24/196.44 apply zenon_H28. apply refl_equal. % 196.24/196.44 (* end of lemma zenon_L4_ *) % 196.24/196.44 assert (zenon_L5_ : (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (unit2) (e20)) = (e20)) -> ((unit2) = (e21)) -> ((e20) = (op2 (e21) (e21))) -> False). % 196.24/196.44 do 0 intro. intros zenon_H29 zenon_H2a zenon_H2b zenon_H2c. % 196.24/196.44 cut (((op2 (unit2) (e20)) = (e20)) = ((op2 (e21) (e20)) = (op2 (e21) (e21)))). % 196.24/196.44 intro zenon_D_pnotp. % 196.24/196.44 apply zenon_H29. % 196.24/196.44 rewrite <- zenon_D_pnotp. % 196.24/196.44 exact zenon_H2a. % 196.24/196.44 cut (((e20) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H2d]. % 196.24/196.44 cut (((op2 (unit2) (e20)) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H2e]. % 196.24/196.44 congruence. % 196.24/196.44 elim (classic ((op2 (e21) (e20)) = (op2 (e21) (e20)))); [ zenon_intro zenon_H2f | zenon_intro zenon_H30 ]. % 196.24/196.44 cut (((op2 (e21) (e20)) = (op2 (e21) (e20))) = ((op2 (unit2) (e20)) = (op2 (e21) (e20)))). % 196.24/196.44 intro zenon_D_pnotp. % 196.24/196.44 apply zenon_H2e. % 196.24/196.44 rewrite <- zenon_D_pnotp. % 196.24/196.44 exact zenon_H2f. % 196.24/196.44 cut (((op2 (e21) (e20)) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H30]. % 196.24/196.44 cut (((op2 (e21) (e20)) = (op2 (unit2) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H31]. % 196.24/196.44 congruence. % 196.24/196.44 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H28]. % 196.24/196.44 cut (((e21) = (unit2))); [idtac | apply NNPP; zenon_intro zenon_H32]. % 196.24/196.44 congruence. % 196.24/196.44 apply zenon_H32. apply sym_equal. exact zenon_H2b. % 196.24/196.44 apply zenon_H28. apply refl_equal. % 196.24/196.44 apply zenon_H30. apply refl_equal. % 196.24/196.44 apply zenon_H30. apply refl_equal. % 196.24/196.44 exact (zenon_H2d zenon_H2c). % 196.24/196.44 (* end of lemma zenon_L5_ *) % 196.24/196.44 assert (zenon_L6_ : (~((e22) = (e22))) -> False). % 196.24/196.44 do 0 intro. intros zenon_H33. % 196.24/196.44 apply zenon_H33. apply refl_equal. % 196.24/196.44 (* end of lemma zenon_L6_ *) % 196.24/196.44 assert (zenon_L7_ : (~((op2 (e22) (e22)) = (op2 (unit2) (e22)))) -> ((unit2) = (e22)) -> False). % 196.24/196.44 do 0 intro. intros zenon_H34 zenon_H35. % 196.24/196.44 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H33]. % 196.24/196.44 cut (((e22) = (unit2))); [idtac | apply NNPP; zenon_intro zenon_H36]. % 196.24/196.44 congruence. % 196.24/196.44 apply zenon_H36. apply sym_equal. exact zenon_H35. % 196.24/196.44 apply zenon_H33. apply refl_equal. % 196.24/196.44 (* end of lemma zenon_L7_ *) % 196.24/196.44 assert (zenon_L8_ : ((op2 (unit2) (e22)) = (e22)) -> ((unit2) = (e22)) -> ((op2 (e22) (e20)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> False). % 196.24/196.44 do 0 intro. intros zenon_H37 zenon_H35 zenon_H38 zenon_H39. % 196.24/196.44 elim (classic ((op2 (e22) (e22)) = (op2 (e22) (e22)))); [ zenon_intro zenon_H3a | zenon_intro zenon_H3b ]. % 196.24/196.44 cut (((op2 (e22) (e22)) = (op2 (e22) (e22))) = ((op2 (e22) (e20)) = (op2 (e22) (e22)))). % 196.24/196.44 intro zenon_D_pnotp. % 196.24/196.44 apply zenon_H39. % 196.24/196.44 rewrite <- zenon_D_pnotp. % 196.24/196.44 exact zenon_H3a. % 196.24/196.44 cut (((op2 (e22) (e22)) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H3b]. % 196.24/196.44 cut (((op2 (e22) (e22)) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H3c]. % 196.24/196.44 congruence. % 196.24/196.44 cut (((op2 (unit2) (e22)) = (e22)) = ((op2 (e22) (e22)) = (op2 (e22) (e20)))). % 196.24/196.44 intro zenon_D_pnotp. % 196.24/196.44 apply zenon_H3c. % 196.24/196.44 rewrite <- zenon_D_pnotp. % 196.24/196.44 exact zenon_H37. % 196.24/196.44 cut (((e22) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H3d]. % 196.24/196.44 cut (((op2 (unit2) (e22)) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H3e]. % 196.24/196.44 congruence. % 196.24/196.44 elim (classic ((op2 (e22) (e22)) = (op2 (e22) (e22)))); [ zenon_intro zenon_H3a | zenon_intro zenon_H3b ]. % 196.24/196.44 cut (((op2 (e22) (e22)) = (op2 (e22) (e22))) = ((op2 (unit2) (e22)) = (op2 (e22) (e22)))). % 196.24/196.44 intro zenon_D_pnotp. % 196.24/196.44 apply zenon_H3e. % 196.24/196.44 rewrite <- zenon_D_pnotp. % 196.24/196.44 exact zenon_H3a. % 196.24/196.44 cut (((op2 (e22) (e22)) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H3b]. % 196.24/196.44 cut (((op2 (e22) (e22)) = (op2 (unit2) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H34]. % 196.24/196.44 congruence. % 196.24/196.44 apply (zenon_L7_); trivial. % 196.24/196.44 apply zenon_H3b. apply refl_equal. % 196.24/196.44 apply zenon_H3b. apply refl_equal. % 196.24/196.44 apply zenon_H3d. apply sym_equal. exact zenon_H38. % 196.24/196.44 apply zenon_H3b. apply refl_equal. % 196.24/196.44 apply zenon_H3b. apply refl_equal. % 196.24/196.44 (* end of lemma zenon_L8_ *) % 196.24/196.44 assert (zenon_L9_ : ((op2 (unit2) (e22)) = (e22)) -> ((unit2) = (e23)) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> False). % 196.24/196.44 do 0 intro. intros zenon_H37 zenon_H3f zenon_H40 zenon_H41. % 196.24/196.44 elim (classic ((op2 (e23) (e22)) = (op2 (e23) (e22)))); [ zenon_intro zenon_H42 | zenon_intro zenon_H43 ]. % 196.24/196.44 cut (((op2 (e23) (e22)) = (op2 (e23) (e22))) = ((op2 (e23) (e21)) = (op2 (e23) (e22)))). % 196.24/196.44 intro zenon_D_pnotp. % 196.24/196.44 apply zenon_H41. % 196.24/196.44 rewrite <- zenon_D_pnotp. % 196.24/196.44 exact zenon_H42. % 196.24/196.44 cut (((op2 (e23) (e22)) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H43]. % 196.24/196.44 cut (((op2 (e23) (e22)) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H44]. % 196.24/196.44 congruence. % 196.24/196.44 cut (((op2 (unit2) (e22)) = (e22)) = ((op2 (e23) (e22)) = (op2 (e23) (e21)))). % 196.24/196.44 intro zenon_D_pnotp. % 196.24/196.44 apply zenon_H44. % 196.24/196.44 rewrite <- zenon_D_pnotp. % 196.24/196.44 exact zenon_H37. % 196.24/196.44 cut (((e22) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H45]. % 196.24/196.44 cut (((op2 (unit2) (e22)) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H46]. % 196.24/196.44 congruence. % 196.24/196.44 elim (classic ((op2 (e23) (e22)) = (op2 (e23) (e22)))); [ zenon_intro zenon_H42 | zenon_intro zenon_H43 ]. % 196.24/196.44 cut (((op2 (e23) (e22)) = (op2 (e23) (e22))) = ((op2 (unit2) (e22)) = (op2 (e23) (e22)))). % 196.24/196.44 intro zenon_D_pnotp. % 196.24/196.44 apply zenon_H46. % 196.24/196.44 rewrite <- zenon_D_pnotp. % 196.24/196.44 exact zenon_H42. % 196.24/196.44 cut (((op2 (e23) (e22)) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H43]. % 196.24/196.44 cut (((op2 (e23) (e22)) = (op2 (unit2) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H47]. % 196.24/196.44 congruence. % 196.24/196.44 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H33]. % 196.24/196.44 cut (((e23) = (unit2))); [idtac | apply NNPP; zenon_intro zenon_H48]. % 196.24/196.44 congruence. % 196.24/196.44 apply zenon_H48. apply sym_equal. exact zenon_H3f. % 196.24/196.44 apply zenon_H33. apply refl_equal. % 196.24/196.44 apply zenon_H43. apply refl_equal. % 196.24/196.44 apply zenon_H43. apply refl_equal. % 196.24/196.44 exact (zenon_H45 zenon_H40). % 196.24/196.44 apply zenon_H43. apply refl_equal. % 196.24/196.44 apply zenon_H43. apply refl_equal. % 196.24/196.44 (* end of lemma zenon_L9_ *) % 196.24/196.44 assert (zenon_L10_ : (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((op2 (e20) (e21)) = (e23)) -> ((op2 (unit2) (e23)) = (e23)) -> ((e20) = (op2 (e21) (e21))) -> ((op2 (unit2) (e20)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (e22) (e20)) = (e22)) -> ((op2 (unit2) (e22)) = (e22)) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> False). % 196.24/196.44 do 0 intro. intros zenon_H49 zenon_H22 zenon_H21 zenon_H20 zenon_H2c zenon_H2a zenon_H29 zenon_H39 zenon_H38 zenon_H37 zenon_H40 zenon_H41. % 196.24/196.44 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H1e | zenon_intro zenon_H4a ]. % 196.24/196.44 apply (zenon_L3_); trivial. % 196.24/196.44 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2b | zenon_intro zenon_H4b ]. % 196.24/196.44 apply (zenon_L5_); trivial. % 196.24/196.44 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H3f ]. % 196.24/196.44 apply (zenon_L8_); trivial. % 196.24/196.44 apply (zenon_L9_); trivial. % 196.24/196.44 (* end of lemma zenon_L10_ *) % 196.24/196.44 assert (zenon_L11_ : (~((op2 (e20) (e22)) = (op2 (unit2) (e22)))) -> ((unit2) = (e20)) -> False). % 196.24/196.44 do 0 intro. intros zenon_H4c zenon_H1e. % 196.24/196.44 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H33]. % 196.24/196.44 cut (((e20) = (unit2))); [idtac | apply NNPP; zenon_intro zenon_H1f]. % 196.24/196.44 congruence. % 196.24/196.44 apply zenon_H1f. apply sym_equal. exact zenon_H1e. % 196.24/196.44 apply zenon_H33. apply refl_equal. % 196.24/196.44 (* end of lemma zenon_L11_ *) % 196.24/196.44 assert (zenon_L12_ : (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> ((op2 (unit2) (e22)) = (e22)) -> ((unit2) = (e20)) -> ((op2 (e20) (e23)) = (e22)) -> False). % 196.24/196.44 do 0 intro. intros zenon_H4d zenon_H37 zenon_H1e zenon_H4e. % 196.24/196.44 cut (((op2 (unit2) (e22)) = (e22)) = ((op2 (e20) (e22)) = (op2 (e20) (e23)))). % 196.24/196.44 intro zenon_D_pnotp. % 196.24/196.44 apply zenon_H4d. % 196.24/196.44 rewrite <- zenon_D_pnotp. % 196.24/196.44 exact zenon_H37. % 196.24/196.44 cut (((e22) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H4f]. % 196.24/196.44 cut (((op2 (unit2) (e22)) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H50]. % 196.24/196.44 congruence. % 196.24/196.44 elim (classic ((op2 (e20) (e22)) = (op2 (e20) (e22)))); [ zenon_intro zenon_H51 | zenon_intro zenon_H52 ]. % 196.24/196.44 cut (((op2 (e20) (e22)) = (op2 (e20) (e22))) = ((op2 (unit2) (e22)) = (op2 (e20) (e22)))). % 196.24/196.44 intro zenon_D_pnotp. % 196.24/196.44 apply zenon_H50. % 196.24/196.44 rewrite <- zenon_D_pnotp. % 196.24/196.44 exact zenon_H51. % 196.24/196.44 cut (((op2 (e20) (e22)) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H52]. % 196.24/196.44 cut (((op2 (e20) (e22)) = (op2 (unit2) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H4c]. % 196.24/196.44 congruence. % 196.24/196.44 apply (zenon_L11_); trivial. % 196.24/196.44 apply zenon_H52. apply refl_equal. % 196.24/196.44 apply zenon_H52. apply refl_equal. % 196.24/196.44 apply zenon_H4f. apply sym_equal. exact zenon_H4e. % 196.24/196.44 (* end of lemma zenon_L12_ *) % 196.24/196.44 assert (zenon_L13_ : (~((op2 (e23) (e21)) = (op2 (e23) (unit2)))) -> ((unit2) = (e21)) -> False). % 196.24/196.44 do 0 intro. intros zenon_H53 zenon_H2b. % 196.24/196.44 cut (((e21) = (unit2))); [idtac | apply NNPP; zenon_intro zenon_H32]. % 196.24/196.44 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H1c]. % 196.24/196.44 congruence. % 196.24/196.44 apply zenon_H1c. apply refl_equal. % 196.24/196.44 apply zenon_H32. apply sym_equal. exact zenon_H2b. % 196.24/196.44 (* end of lemma zenon_L13_ *) % 196.24/196.44 assert (zenon_L14_ : ((op2 (e23) (unit2)) = (e23)) -> ((unit2) = (e21)) -> ((op2 (e23) (e20)) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> False). % 196.24/196.44 do 0 intro. intros zenon_H54 zenon_H2b zenon_H55 zenon_H56. % 196.24/196.44 elim (classic ((op2 (e23) (e21)) = (op2 (e23) (e21)))); [ zenon_intro zenon_H57 | zenon_intro zenon_H58 ]. % 196.24/196.44 cut (((op2 (e23) (e21)) = (op2 (e23) (e21))) = ((op2 (e23) (e20)) = (op2 (e23) (e21)))). % 196.24/196.44 intro zenon_D_pnotp. % 196.24/196.44 apply zenon_H56. % 196.24/196.44 rewrite <- zenon_D_pnotp. % 196.24/196.44 exact zenon_H57. % 196.24/196.44 cut (((op2 (e23) (e21)) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H58]. % 196.24/196.44 cut (((op2 (e23) (e21)) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H59]. % 196.24/196.44 congruence. % 196.24/196.44 cut (((op2 (e23) (unit2)) = (e23)) = ((op2 (e23) (e21)) = (op2 (e23) (e20)))). % 196.24/196.44 intro zenon_D_pnotp. % 196.24/196.44 apply zenon_H59. % 196.24/196.44 rewrite <- zenon_D_pnotp. % 196.24/196.44 exact zenon_H54. % 196.24/196.44 cut (((e23) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H5a]. % 196.24/196.44 cut (((op2 (e23) (unit2)) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H5b]. % 196.24/196.44 congruence. % 196.24/196.44 elim (classic ((op2 (e23) (e21)) = (op2 (e23) (e21)))); [ zenon_intro zenon_H57 | zenon_intro zenon_H58 ]. % 196.24/196.44 cut (((op2 (e23) (e21)) = (op2 (e23) (e21))) = ((op2 (e23) (unit2)) = (op2 (e23) (e21)))). % 196.24/196.44 intro zenon_D_pnotp. % 196.24/196.44 apply zenon_H5b. % 196.24/196.44 rewrite <- zenon_D_pnotp. % 196.24/196.44 exact zenon_H57. % 196.24/196.44 cut (((op2 (e23) (e21)) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H58]. % 196.24/196.44 cut (((op2 (e23) (e21)) = (op2 (e23) (unit2)))); [idtac | apply NNPP; zenon_intro zenon_H53]. % 196.24/196.44 congruence. % 196.24/196.44 apply (zenon_L13_); trivial. % 196.24/196.44 apply zenon_H58. apply refl_equal. % 196.24/196.44 apply zenon_H58. apply refl_equal. % 196.24/196.44 apply zenon_H5a. apply sym_equal. exact zenon_H55. % 196.24/196.44 apply zenon_H58. apply refl_equal. % 196.24/196.44 apply zenon_H58. apply refl_equal. % 196.24/196.44 (* end of lemma zenon_L14_ *) % 196.24/196.44 assert (zenon_L15_ : (~((op2 (e23) (e22)) = (op2 (e23) (unit2)))) -> ((unit2) = (e22)) -> False). % 196.24/196.44 do 0 intro. intros zenon_H5c zenon_H35. % 196.24/196.44 cut (((e22) = (unit2))); [idtac | apply NNPP; zenon_intro zenon_H36]. % 196.24/196.44 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H1c]. % 196.24/196.44 congruence. % 196.24/196.44 apply zenon_H1c. apply refl_equal. % 196.24/196.44 apply zenon_H36. apply sym_equal. exact zenon_H35. % 196.24/196.44 (* end of lemma zenon_L15_ *) % 196.24/196.44 assert (zenon_L16_ : ((op2 (e23) (unit2)) = (e23)) -> ((unit2) = (e22)) -> ((op2 (e23) (e20)) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> False). % 196.24/196.44 do 0 intro. intros zenon_H54 zenon_H35 zenon_H55 zenon_H5d. % 196.24/196.44 elim (classic ((op2 (e23) (e22)) = (op2 (e23) (e22)))); [ zenon_intro zenon_H42 | zenon_intro zenon_H43 ]. % 196.24/196.44 cut (((op2 (e23) (e22)) = (op2 (e23) (e22))) = ((op2 (e23) (e20)) = (op2 (e23) (e22)))). % 196.24/196.44 intro zenon_D_pnotp. % 196.24/196.44 apply zenon_H5d. % 196.24/196.44 rewrite <- zenon_D_pnotp. % 196.24/196.44 exact zenon_H42. % 196.24/196.44 cut (((op2 (e23) (e22)) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H43]. % 196.24/196.44 cut (((op2 (e23) (e22)) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H5e]. % 196.24/196.44 congruence. % 196.24/196.44 cut (((op2 (e23) (unit2)) = (e23)) = ((op2 (e23) (e22)) = (op2 (e23) (e20)))). % 196.24/196.44 intro zenon_D_pnotp. % 196.24/196.44 apply zenon_H5e. % 196.24/196.44 rewrite <- zenon_D_pnotp. % 196.24/196.44 exact zenon_H54. % 196.24/196.44 cut (((e23) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H5a]. % 196.24/196.44 cut (((op2 (e23) (unit2)) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H5f]. % 196.24/196.44 congruence. % 196.24/196.44 elim (classic ((op2 (e23) (e22)) = (op2 (e23) (e22)))); [ zenon_intro zenon_H42 | zenon_intro zenon_H43 ]. % 196.24/196.44 cut (((op2 (e23) (e22)) = (op2 (e23) (e22))) = ((op2 (e23) (unit2)) = (op2 (e23) (e22)))). % 196.24/196.44 intro zenon_D_pnotp. % 196.24/196.44 apply zenon_H5f. % 196.24/196.44 rewrite <- zenon_D_pnotp. % 196.24/196.44 exact zenon_H42. % 196.24/196.44 cut (((op2 (e23) (e22)) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H43]. % 196.24/196.44 cut (((op2 (e23) (e22)) = (op2 (e23) (unit2)))); [idtac | apply NNPP; zenon_intro zenon_H5c]. % 196.24/196.44 congruence. % 196.24/196.44 apply (zenon_L15_); trivial. % 196.24/196.44 apply zenon_H43. apply refl_equal. % 196.24/196.44 apply zenon_H43. apply refl_equal. % 196.24/196.44 apply zenon_H5a. apply sym_equal. exact zenon_H55. % 196.24/196.44 apply zenon_H43. apply refl_equal. % 196.24/196.44 apply zenon_H43. apply refl_equal. % 196.24/196.44 (* end of lemma zenon_L16_ *) % 196.24/196.44 assert (zenon_L17_ : (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> ((op2 (e20) (e23)) = (e22)) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e20)) = (e23)) -> ((op2 (e23) (unit2)) = (e23)) -> ((op2 (unit2) (e22)) = (e22)) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> False). % 196.24/196.44 do 0 intro. intros zenon_H49 zenon_H4e zenon_H4d zenon_H56 zenon_H5d zenon_H55 zenon_H54 zenon_H37 zenon_H40 zenon_H41. % 196.24/196.44 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H1e | zenon_intro zenon_H4a ]. % 196.24/196.44 apply (zenon_L12_); trivial. % 196.24/196.44 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2b | zenon_intro zenon_H4b ]. % 196.24/196.44 apply (zenon_L14_); trivial. % 196.24/196.44 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H3f ]. % 196.24/196.44 apply (zenon_L16_); trivial. % 196.24/196.44 apply (zenon_L9_); trivial. % 196.24/196.44 (* end of lemma zenon_L17_ *) % 196.24/196.44 assert (zenon_L18_ : (~((op2 (e23) (e20)) = (op2 (e23) (unit2)))) -> ((unit2) = (e20)) -> False). % 196.24/196.44 do 0 intro. intros zenon_H60 zenon_H1e. % 196.24/196.44 cut (((e20) = (unit2))); [idtac | apply NNPP; zenon_intro zenon_H1f]. % 196.24/196.44 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H1c]. % 196.24/196.44 congruence. % 196.24/196.44 apply zenon_H1c. apply refl_equal. % 196.24/196.44 apply zenon_H1f. apply sym_equal. exact zenon_H1e. % 196.24/196.44 (* end of lemma zenon_L18_ *) % 196.24/196.44 assert (zenon_L19_ : (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e23) (unit2)) = (e23)) -> ((unit2) = (e20)) -> ((op2 (e23) (e21)) = (e23)) -> False). % 196.24/196.44 do 0 intro. intros zenon_H56 zenon_H54 zenon_H1e zenon_H61. % 196.24/196.44 cut (((op2 (e23) (unit2)) = (e23)) = ((op2 (e23) (e20)) = (op2 (e23) (e21)))). % 196.24/196.44 intro zenon_D_pnotp. % 196.24/196.44 apply zenon_H56. % 196.24/196.44 rewrite <- zenon_D_pnotp. % 196.24/196.44 exact zenon_H54. % 196.24/196.44 cut (((e23) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H62]. % 196.24/196.44 cut (((op2 (e23) (unit2)) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H63]. % 196.24/196.44 congruence. % 196.24/196.44 elim (classic ((op2 (e23) (e20)) = (op2 (e23) (e20)))); [ zenon_intro zenon_H64 | zenon_intro zenon_H65 ]. % 196.24/196.44 cut (((op2 (e23) (e20)) = (op2 (e23) (e20))) = ((op2 (e23) (unit2)) = (op2 (e23) (e20)))). % 196.24/196.44 intro zenon_D_pnotp. % 196.24/196.44 apply zenon_H63. % 196.24/196.44 rewrite <- zenon_D_pnotp. % 196.24/196.44 exact zenon_H64. % 196.24/196.44 cut (((op2 (e23) (e20)) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H65]. % 196.24/196.44 cut (((op2 (e23) (e20)) = (op2 (e23) (unit2)))); [idtac | apply NNPP; zenon_intro zenon_H60]. % 196.24/196.44 congruence. % 196.24/196.44 apply (zenon_L18_); trivial. % 196.24/196.44 apply zenon_H65. apply refl_equal. % 196.24/196.44 apply zenon_H65. apply refl_equal. % 196.24/196.44 apply zenon_H62. apply sym_equal. exact zenon_H61. % 196.24/196.44 (* end of lemma zenon_L19_ *) % 196.24/196.44 assert (zenon_L20_ : ((op2 (e23) (unit2)) = (e23)) -> ((unit2) = (e22)) -> ((op2 (e23) (e21)) = (e23)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> False). % 196.24/196.44 do 0 intro. intros zenon_H54 zenon_H35 zenon_H61 zenon_H41. % 196.24/196.44 elim (classic ((op2 (e23) (e22)) = (op2 (e23) (e22)))); [ zenon_intro zenon_H42 | zenon_intro zenon_H43 ]. % 196.24/196.44 cut (((op2 (e23) (e22)) = (op2 (e23) (e22))) = ((op2 (e23) (e21)) = (op2 (e23) (e22)))). % 196.24/196.44 intro zenon_D_pnotp. % 196.24/196.44 apply zenon_H41. % 196.24/196.44 rewrite <- zenon_D_pnotp. % 196.24/196.44 exact zenon_H42. % 196.24/196.44 cut (((op2 (e23) (e22)) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H43]. % 196.24/196.44 cut (((op2 (e23) (e22)) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H44]. % 196.24/196.44 congruence. % 196.24/196.44 cut (((op2 (e23) (unit2)) = (e23)) = ((op2 (e23) (e22)) = (op2 (e23) (e21)))). % 196.24/196.44 intro zenon_D_pnotp. % 196.24/196.44 apply zenon_H44. % 196.24/196.44 rewrite <- zenon_D_pnotp. % 196.24/196.44 exact zenon_H54. % 196.24/196.44 cut (((e23) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H62]. % 196.24/196.44 cut (((op2 (e23) (unit2)) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H5f]. % 196.24/196.44 congruence. % 196.24/196.44 elim (classic ((op2 (e23) (e22)) = (op2 (e23) (e22)))); [ zenon_intro zenon_H42 | zenon_intro zenon_H43 ]. % 196.24/196.44 cut (((op2 (e23) (e22)) = (op2 (e23) (e22))) = ((op2 (e23) (unit2)) = (op2 (e23) (e22)))). % 196.24/196.44 intro zenon_D_pnotp. % 196.24/196.44 apply zenon_H5f. % 196.24/196.44 rewrite <- zenon_D_pnotp. % 196.24/196.44 exact zenon_H42. % 196.24/196.44 cut (((op2 (e23) (e22)) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H43]. % 196.24/196.44 cut (((op2 (e23) (e22)) = (op2 (e23) (unit2)))); [idtac | apply NNPP; zenon_intro zenon_H5c]. % 196.24/196.44 congruence. % 196.24/196.44 apply (zenon_L15_); trivial. % 196.24/196.44 apply zenon_H43. apply refl_equal. % 196.24/196.44 apply zenon_H43. apply refl_equal. % 196.24/196.44 apply zenon_H62. apply sym_equal. exact zenon_H61. % 196.24/196.44 apply zenon_H43. apply refl_equal. % 196.24/196.44 apply zenon_H43. apply refl_equal. % 196.24/196.44 (* end of lemma zenon_L20_ *) % 196.24/196.44 assert (zenon_L21_ : (~((op2 (e23) (e23)) = (op2 (unit2) (e23)))) -> ((unit2) = (e23)) -> False). % 196.24/196.44 do 0 intro. intros zenon_H66 zenon_H3f. % 196.24/196.44 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H1c]. % 196.24/196.44 cut (((e23) = (unit2))); [idtac | apply NNPP; zenon_intro zenon_H48]. % 196.24/196.44 congruence. % 196.24/196.44 apply zenon_H48. apply sym_equal. exact zenon_H3f. % 196.24/196.44 apply zenon_H1c. apply refl_equal. % 196.24/196.44 (* end of lemma zenon_L21_ *) % 196.24/196.44 assert (zenon_L22_ : ((op2 (unit2) (e23)) = (e23)) -> ((unit2) = (e23)) -> ((op2 (e23) (e21)) = (e23)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> False). % 196.24/196.44 do 0 intro. intros zenon_H20 zenon_H3f zenon_H61 zenon_H67. % 196.24/196.44 elim (classic ((op2 (e23) (e23)) = (op2 (e23) (e23)))); [ zenon_intro zenon_H68 | zenon_intro zenon_H69 ]. % 196.24/196.44 cut (((op2 (e23) (e23)) = (op2 (e23) (e23))) = ((op2 (e23) (e21)) = (op2 (e23) (e23)))). % 196.24/196.44 intro zenon_D_pnotp. % 196.24/196.44 apply zenon_H67. % 196.24/196.44 rewrite <- zenon_D_pnotp. % 196.24/196.44 exact zenon_H68. % 196.24/196.44 cut (((op2 (e23) (e23)) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H69]. % 196.24/196.44 cut (((op2 (e23) (e23)) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H6a]. % 196.24/196.44 congruence. % 196.24/196.44 cut (((op2 (unit2) (e23)) = (e23)) = ((op2 (e23) (e23)) = (op2 (e23) (e21)))). % 196.24/196.44 intro zenon_D_pnotp. % 196.24/196.44 apply zenon_H6a. % 196.24/196.44 rewrite <- zenon_D_pnotp. % 196.24/196.44 exact zenon_H20. % 196.24/196.44 cut (((e23) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H62]. % 196.24/196.44 cut (((op2 (unit2) (e23)) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H6b]. % 196.24/196.44 congruence. % 196.24/196.44 elim (classic ((op2 (e23) (e23)) = (op2 (e23) (e23)))); [ zenon_intro zenon_H68 | zenon_intro zenon_H69 ]. % 196.24/196.44 cut (((op2 (e23) (e23)) = (op2 (e23) (e23))) = ((op2 (unit2) (e23)) = (op2 (e23) (e23)))). % 196.24/196.44 intro zenon_D_pnotp. % 196.24/196.44 apply zenon_H6b. % 196.24/196.44 rewrite <- zenon_D_pnotp. % 196.24/196.44 exact zenon_H68. % 196.24/196.44 cut (((op2 (e23) (e23)) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H69]. % 196.24/196.44 cut (((op2 (e23) (e23)) = (op2 (unit2) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H66]. % 196.24/196.44 congruence. % 196.24/196.44 apply (zenon_L21_); trivial. % 196.24/196.44 apply zenon_H69. apply refl_equal. % 196.24/196.44 apply zenon_H69. apply refl_equal. % 196.24/196.44 apply zenon_H62. apply sym_equal. exact zenon_H61. % 196.24/196.44 apply zenon_H69. apply refl_equal. % 196.24/196.44 apply zenon_H69. apply refl_equal. % 196.24/196.44 (* end of lemma zenon_L22_ *) % 196.24/196.44 assert (zenon_L23_ : (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> ((op2 (unit2) (e20)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e23) (unit2)) = (e23)) -> ((op2 (unit2) (e23)) = (e23)) -> ((op2 (e23) (e21)) = (e23)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> False). % 196.24/196.44 do 0 intro. intros zenon_H49 zenon_H56 zenon_H2c zenon_H2a zenon_H29 zenon_H41 zenon_H54 zenon_H20 zenon_H61 zenon_H67. % 196.24/196.44 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H1e | zenon_intro zenon_H4a ]. % 196.24/196.44 apply (zenon_L19_); trivial. % 196.24/196.44 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2b | zenon_intro zenon_H4b ]. % 196.24/196.44 apply (zenon_L5_); trivial. % 196.24/196.44 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H3f ]. % 196.24/196.44 apply (zenon_L20_); trivial. % 196.24/196.44 apply (zenon_L22_); trivial. % 196.24/196.44 (* end of lemma zenon_L23_ *) % 196.24/196.44 assert (zenon_L24_ : (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e23) (unit2)) = (e23)) -> ((unit2) = (e20)) -> ((op2 (e23) (e22)) = (e23)) -> False). % 196.24/196.44 do 0 intro. intros zenon_H5d zenon_H54 zenon_H1e zenon_H6c. % 196.24/196.44 cut (((op2 (e23) (unit2)) = (e23)) = ((op2 (e23) (e20)) = (op2 (e23) (e22)))). % 196.24/196.44 intro zenon_D_pnotp. % 196.24/196.44 apply zenon_H5d. % 196.24/196.44 rewrite <- zenon_D_pnotp. % 196.24/196.44 exact zenon_H54. % 196.24/196.44 cut (((e23) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H6d]. % 196.24/196.44 cut (((op2 (e23) (unit2)) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H63]. % 196.24/196.44 congruence. % 196.24/196.44 elim (classic ((op2 (e23) (e20)) = (op2 (e23) (e20)))); [ zenon_intro zenon_H64 | zenon_intro zenon_H65 ]. % 196.24/196.44 cut (((op2 (e23) (e20)) = (op2 (e23) (e20))) = ((op2 (e23) (unit2)) = (op2 (e23) (e20)))). % 196.24/196.44 intro zenon_D_pnotp. % 196.24/196.44 apply zenon_H63. % 196.24/196.44 rewrite <- zenon_D_pnotp. % 196.24/196.44 exact zenon_H64. % 196.24/196.44 cut (((op2 (e23) (e20)) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H65]. % 196.24/196.44 cut (((op2 (e23) (e20)) = (op2 (e23) (unit2)))); [idtac | apply NNPP; zenon_intro zenon_H60]. % 196.24/196.44 congruence. % 196.24/196.44 apply (zenon_L18_); trivial. % 196.24/196.44 apply zenon_H65. apply refl_equal. % 196.24/196.44 apply zenon_H65. apply refl_equal. % 196.24/196.44 apply zenon_H6d. apply sym_equal. exact zenon_H6c. % 196.24/196.44 (* end of lemma zenon_L24_ *) % 196.24/196.44 assert (zenon_L25_ : (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e23) (unit2)) = (e23)) -> ((unit2) = (e21)) -> ((op2 (e23) (e22)) = (e23)) -> False). % 196.24/196.44 do 0 intro. intros zenon_H41 zenon_H54 zenon_H2b zenon_H6c. % 196.24/196.44 cut (((op2 (e23) (unit2)) = (e23)) = ((op2 (e23) (e21)) = (op2 (e23) (e22)))). % 196.24/196.44 intro zenon_D_pnotp. % 196.24/196.44 apply zenon_H41. % 196.24/196.44 rewrite <- zenon_D_pnotp. % 196.24/196.44 exact zenon_H54. % 196.24/196.44 cut (((e23) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H6d]. % 196.24/196.44 cut (((op2 (e23) (unit2)) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H5b]. % 196.24/196.44 congruence. % 196.24/196.44 elim (classic ((op2 (e23) (e21)) = (op2 (e23) (e21)))); [ zenon_intro zenon_H57 | zenon_intro zenon_H58 ]. % 196.24/196.44 cut (((op2 (e23) (e21)) = (op2 (e23) (e21))) = ((op2 (e23) (unit2)) = (op2 (e23) (e21)))). % 196.24/196.44 intro zenon_D_pnotp. % 196.24/196.44 apply zenon_H5b. % 196.24/196.44 rewrite <- zenon_D_pnotp. % 196.24/196.44 exact zenon_H57. % 196.24/196.44 cut (((op2 (e23) (e21)) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H58]. % 196.24/196.44 cut (((op2 (e23) (e21)) = (op2 (e23) (unit2)))); [idtac | apply NNPP; zenon_intro zenon_H53]. % 196.24/196.44 congruence. % 196.24/196.44 apply (zenon_L13_); trivial. % 196.24/196.44 apply zenon_H58. apply refl_equal. % 196.24/196.44 apply zenon_H58. apply refl_equal. % 196.24/196.44 apply zenon_H6d. apply sym_equal. exact zenon_H6c. % 196.24/196.44 (* end of lemma zenon_L25_ *) % 196.24/196.44 assert (zenon_L26_ : (~((op2 (e22) (e20)) = (op2 (unit2) (e20)))) -> ((unit2) = (e22)) -> False). % 196.24/196.44 do 0 intro. intros zenon_H6e zenon_H35. % 196.24/196.44 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H28]. % 196.24/196.44 cut (((e22) = (unit2))); [idtac | apply NNPP; zenon_intro zenon_H36]. % 196.24/196.44 congruence. % 196.24/196.44 apply zenon_H36. apply sym_equal. exact zenon_H35. % 196.24/196.44 apply zenon_H28. apply refl_equal. % 196.24/196.44 (* end of lemma zenon_L26_ *) % 196.24/196.44 assert (zenon_L27_ : (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e20)) = (e20)) -> ((unit2) = (e22)) -> ((op2 (e22) (e22)) = (e20)) -> False). % 196.24/196.44 do 0 intro. intros zenon_H39 zenon_H2a zenon_H35 zenon_H6f. % 196.24/196.44 cut (((op2 (unit2) (e20)) = (e20)) = ((op2 (e22) (e20)) = (op2 (e22) (e22)))). % 196.24/196.44 intro zenon_D_pnotp. % 196.24/196.44 apply zenon_H39. % 196.24/196.44 rewrite <- zenon_D_pnotp. % 196.24/196.44 exact zenon_H2a. % 196.24/196.44 cut (((e20) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H70]. % 196.24/196.44 cut (((op2 (unit2) (e20)) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H71]. % 196.24/196.44 congruence. % 196.24/196.44 elim (classic ((op2 (e22) (e20)) = (op2 (e22) (e20)))); [ zenon_intro zenon_H72 | zenon_intro zenon_H73 ]. % 196.24/196.44 cut (((op2 (e22) (e20)) = (op2 (e22) (e20))) = ((op2 (unit2) (e20)) = (op2 (e22) (e20)))). % 196.24/196.44 intro zenon_D_pnotp. % 196.24/196.44 apply zenon_H71. % 196.24/196.44 rewrite <- zenon_D_pnotp. % 196.24/196.44 exact zenon_H72. % 196.24/196.44 cut (((op2 (e22) (e20)) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H73]. % 196.24/196.44 cut (((op2 (e22) (e20)) = (op2 (unit2) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H6e]. % 196.24/196.44 congruence. % 196.24/196.44 apply (zenon_L26_); trivial. % 196.24/196.44 apply zenon_H73. apply refl_equal. % 196.24/196.44 apply zenon_H73. apply refl_equal. % 196.24/196.44 apply zenon_H70. apply sym_equal. exact zenon_H6f. % 196.24/196.44 (* end of lemma zenon_L27_ *) % 196.24/196.44 assert (zenon_L28_ : (~((e21) = (e21))) -> False). % 196.24/196.44 do 0 intro. intros zenon_H74. % 196.24/196.44 apply zenon_H74. apply refl_equal. % 196.24/196.44 (* end of lemma zenon_L28_ *) % 196.24/196.44 assert (zenon_L29_ : (~((op2 (e22) (e21)) = (op2 (unit2) (e21)))) -> ((unit2) = (e22)) -> False). % 196.24/196.44 do 0 intro. intros zenon_H75 zenon_H35. % 196.24/196.44 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H74]. % 196.24/196.44 cut (((e22) = (unit2))); [idtac | apply NNPP; zenon_intro zenon_H36]. % 196.24/196.44 congruence. % 196.24/196.44 apply zenon_H36. apply sym_equal. exact zenon_H35. % 196.24/196.44 apply zenon_H74. apply refl_equal. % 196.24/196.44 (* end of lemma zenon_L29_ *) % 196.24/196.44 assert (zenon_L30_ : (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e21)) = (e21)) -> ((unit2) = (e22)) -> ((op2 (e22) (e22)) = (e21)) -> False). % 196.24/196.44 do 0 intro. intros zenon_H76 zenon_H77 zenon_H35 zenon_H78. % 196.24/196.44 cut (((op2 (unit2) (e21)) = (e21)) = ((op2 (e22) (e21)) = (op2 (e22) (e22)))). % 196.24/196.44 intro zenon_D_pnotp. % 196.24/196.44 apply zenon_H76. % 196.24/196.44 rewrite <- zenon_D_pnotp. % 196.24/196.44 exact zenon_H77. % 196.24/196.44 cut (((e21) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H79]. % 196.24/196.44 cut (((op2 (unit2) (e21)) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H7a]. % 196.24/196.44 congruence. % 196.24/196.44 elim (classic ((op2 (e22) (e21)) = (op2 (e22) (e21)))); [ zenon_intro zenon_H7b | zenon_intro zenon_H7c ]. % 196.24/196.44 cut (((op2 (e22) (e21)) = (op2 (e22) (e21))) = ((op2 (unit2) (e21)) = (op2 (e22) (e21)))). % 196.24/196.44 intro zenon_D_pnotp. % 196.24/196.44 apply zenon_H7a. % 196.24/196.44 rewrite <- zenon_D_pnotp. % 196.24/196.44 exact zenon_H7b. % 196.24/196.44 cut (((op2 (e22) (e21)) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H7c]. % 196.24/196.44 cut (((op2 (e22) (e21)) = (op2 (unit2) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H75]. % 196.24/196.44 congruence. % 196.24/196.44 apply (zenon_L29_); trivial. % 196.24/196.44 apply zenon_H7c. apply refl_equal. % 196.24/196.44 apply zenon_H7c. apply refl_equal. % 196.24/196.44 apply zenon_H79. apply sym_equal. exact zenon_H78. % 196.24/196.44 (* end of lemma zenon_L30_ *) % 196.24/196.44 assert (zenon_L31_ : ((e22) = (op2 (e23) (e21))) -> ((op2 (e23) (e23)) = (e22)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> False). % 196.24/196.44 do 0 intro. intros zenon_H40 zenon_H7d zenon_H67. % 196.24/196.44 elim (classic ((op2 (e23) (e23)) = (op2 (e23) (e23)))); [ zenon_intro zenon_H68 | zenon_intro zenon_H69 ]. % 196.24/196.44 cut (((op2 (e23) (e23)) = (op2 (e23) (e23))) = ((op2 (e23) (e21)) = (op2 (e23) (e23)))). % 196.24/196.44 intro zenon_D_pnotp. % 196.24/196.44 apply zenon_H67. % 196.24/196.44 rewrite <- zenon_D_pnotp. % 196.24/196.44 exact zenon_H68. % 196.24/196.44 cut (((op2 (e23) (e23)) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H69]. % 196.24/196.44 cut (((op2 (e23) (e23)) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H6a]. % 196.24/196.44 congruence. % 196.24/196.44 cut (((e22) = (op2 (e23) (e21))) = ((op2 (e23) (e23)) = (op2 (e23) (e21)))). % 196.24/196.44 intro zenon_D_pnotp. % 196.24/196.44 apply zenon_H6a. % 196.24/196.44 rewrite <- zenon_D_pnotp. % 196.24/196.44 exact zenon_H40. % 196.24/196.44 cut (((op2 (e23) (e21)) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H58]. % 196.24/196.44 cut (((e22) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H7e]. % 196.24/196.44 congruence. % 196.24/196.44 elim (classic ((op2 (e23) (e23)) = (op2 (e23) (e23)))); [ zenon_intro zenon_H68 | zenon_intro zenon_H69 ]. % 196.24/196.44 cut (((op2 (e23) (e23)) = (op2 (e23) (e23))) = ((e22) = (op2 (e23) (e23)))). % 196.24/196.44 intro zenon_D_pnotp. % 196.24/196.44 apply zenon_H7e. % 196.24/196.44 rewrite <- zenon_D_pnotp. % 196.24/196.44 exact zenon_H68. % 196.24/196.44 cut (((op2 (e23) (e23)) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H69]. % 196.24/196.44 cut (((op2 (e23) (e23)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H7f]. % 196.24/196.44 congruence. % 196.24/196.44 exact (zenon_H7f zenon_H7d). % 196.24/196.44 apply zenon_H69. apply refl_equal. % 196.24/196.44 apply zenon_H69. apply refl_equal. % 196.24/196.44 apply zenon_H58. apply refl_equal. % 196.24/196.44 apply zenon_H69. apply refl_equal. % 196.24/196.44 apply zenon_H69. apply refl_equal. % 196.24/196.44 (* end of lemma zenon_L31_ *) % 196.24/196.44 assert (zenon_L32_ : (((op2 (e20) (e20)) = (e22))/\(((op2 (e21) (e21)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((op2 (e23) (e23)) = (e22))))) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> False). % 196.24/196.44 do 0 intro. intros zenon_H80 zenon_H40 zenon_H67. % 196.24/196.44 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_H82. zenon_intro zenon_H81. % 196.24/196.44 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H84. zenon_intro zenon_H83. % 196.24/196.44 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H85. zenon_intro zenon_H7d. % 196.24/196.44 apply (zenon_L31_); trivial. % 196.24/196.44 (* end of lemma zenon_L32_ *) % 196.24/196.44 assert (zenon_L33_ : (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((op2 (e23) (unit2)) = (e23)) -> ((unit2) = (e22)) -> ((op2 (e23) (e23)) = (e23)) -> False). % 196.24/196.44 do 0 intro. intros zenon_H86 zenon_H54 zenon_H35 zenon_H87. % 196.24/196.44 cut (((op2 (e23) (unit2)) = (e23)) = ((op2 (e23) (e22)) = (op2 (e23) (e23)))). % 196.24/196.44 intro zenon_D_pnotp. % 196.24/196.44 apply zenon_H86. % 196.24/196.44 rewrite <- zenon_D_pnotp. % 196.24/196.44 exact zenon_H54. % 196.24/196.44 cut (((e23) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H88]. % 196.24/196.44 cut (((op2 (e23) (unit2)) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H5f]. % 196.24/196.44 congruence. % 196.24/196.44 elim (classic ((op2 (e23) (e22)) = (op2 (e23) (e22)))); [ zenon_intro zenon_H42 | zenon_intro zenon_H43 ]. % 196.24/196.44 cut (((op2 (e23) (e22)) = (op2 (e23) (e22))) = ((op2 (e23) (unit2)) = (op2 (e23) (e22)))). % 196.24/196.44 intro zenon_D_pnotp. % 196.24/196.44 apply zenon_H5f. % 196.24/196.44 rewrite <- zenon_D_pnotp. % 196.24/196.44 exact zenon_H42. % 196.24/196.44 cut (((op2 (e23) (e22)) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H43]. % 196.24/196.44 cut (((op2 (e23) (e22)) = (op2 (e23) (unit2)))); [idtac | apply NNPP; zenon_intro zenon_H5c]. % 196.24/196.44 congruence. % 196.24/196.44 apply (zenon_L15_); trivial. % 196.24/196.44 apply zenon_H43. apply refl_equal. % 196.24/196.44 apply zenon_H43. apply refl_equal. % 196.24/196.44 apply zenon_H88. apply sym_equal. exact zenon_H87. % 196.24/196.44 (* end of lemma zenon_L33_ *) % 196.24/196.44 assert (zenon_L34_ : (((op2 (e20) (e20)) = (e23))/\(((op2 (e21) (e21)) = (e23))/\(((op2 (e22) (e22)) = (e23))/\((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((op2 (e23) (unit2)) = (e23)) -> ((unit2) = (e22)) -> False). % 196.24/196.44 do 0 intro. intros zenon_H89 zenon_H86 zenon_H54 zenon_H35. % 196.24/196.44 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H8b. zenon_intro zenon_H8a. % 196.24/196.44 apply (zenon_and_s _ _ zenon_H8a). zenon_intro zenon_H8d. zenon_intro zenon_H8c. % 196.24/196.44 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H8e. zenon_intro zenon_H87. % 196.24/196.44 apply (zenon_L33_); trivial. % 196.24/196.44 (* end of lemma zenon_L34_ *) % 196.24/196.44 assert (zenon_L35_ : ((op2 (unit2) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e21)) = (e21)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((op2 (e23) (unit2)) = (e23)) -> ((unit2) = (e22)) -> False). % 196.24/196.44 do 0 intro. intros zenon_H2a zenon_H39 zenon_H77 zenon_H76 zenon_H67 zenon_H40 zenon_H86 zenon_H54 zenon_H35. % 196.24/196.44 apply (zenon_or_s _ _ ax13); [ zenon_intro zenon_H90 | zenon_intro zenon_H8f ]. % 196.24/196.44 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H92. zenon_intro zenon_H91. % 196.24/196.44 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H94. zenon_intro zenon_H93. % 196.24/196.44 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_H6f. zenon_intro zenon_H95. % 196.24/196.44 apply (zenon_L27_); trivial. % 196.24/196.44 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H97 | zenon_intro zenon_H96 ]. % 196.24/196.44 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H99. zenon_intro zenon_H98. % 196.24/196.44 apply (zenon_and_s _ _ zenon_H98). zenon_intro zenon_H9b. zenon_intro zenon_H9a. % 196.24/196.44 apply (zenon_and_s _ _ zenon_H9a). zenon_intro zenon_H78. zenon_intro zenon_H9c. % 196.24/196.44 apply (zenon_L30_); trivial. % 196.24/196.44 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H80 | zenon_intro zenon_H89 ]. % 196.24/196.44 apply (zenon_L32_); trivial. % 196.24/196.44 apply (zenon_L34_); trivial. % 196.24/196.44 (* end of lemma zenon_L35_ *) % 196.24/196.44 assert (zenon_L36_ : ((op2 (unit2) (e23)) = (e23)) -> ((unit2) = (e23)) -> ((op2 (e23) (e22)) = (e23)) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> False). % 196.24/196.44 do 0 intro. intros zenon_H20 zenon_H3f zenon_H6c zenon_H86. % 196.24/196.44 elim (classic ((op2 (e23) (e23)) = (op2 (e23) (e23)))); [ zenon_intro zenon_H68 | zenon_intro zenon_H69 ]. % 196.24/196.44 cut (((op2 (e23) (e23)) = (op2 (e23) (e23))) = ((op2 (e23) (e22)) = (op2 (e23) (e23)))). % 196.24/196.44 intro zenon_D_pnotp. % 196.24/196.44 apply zenon_H86. % 196.24/196.44 rewrite <- zenon_D_pnotp. % 196.24/196.44 exact zenon_H68. % 196.24/196.44 cut (((op2 (e23) (e23)) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H69]. % 196.24/196.44 cut (((op2 (e23) (e23)) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H9d]. % 196.24/196.44 congruence. % 196.24/196.44 cut (((op2 (unit2) (e23)) = (e23)) = ((op2 (e23) (e23)) = (op2 (e23) (e22)))). % 196.24/196.44 intro zenon_D_pnotp. % 196.24/196.44 apply zenon_H9d. % 196.24/196.44 rewrite <- zenon_D_pnotp. % 196.24/196.44 exact zenon_H20. % 196.24/196.44 cut (((e23) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H6d]. % 196.24/196.44 cut (((op2 (unit2) (e23)) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H6b]. % 196.24/196.44 congruence. % 196.24/196.44 elim (classic ((op2 (e23) (e23)) = (op2 (e23) (e23)))); [ zenon_intro zenon_H68 | zenon_intro zenon_H69 ]. % 196.24/196.44 cut (((op2 (e23) (e23)) = (op2 (e23) (e23))) = ((op2 (unit2) (e23)) = (op2 (e23) (e23)))). % 196.24/196.44 intro zenon_D_pnotp. % 196.24/196.44 apply zenon_H6b. % 196.24/196.44 rewrite <- zenon_D_pnotp. % 196.24/196.44 exact zenon_H68. % 196.24/196.44 cut (((op2 (e23) (e23)) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H69]. % 196.24/196.44 cut (((op2 (e23) (e23)) = (op2 (unit2) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H66]. % 196.24/196.44 congruence. % 196.24/196.44 apply (zenon_L21_); trivial. % 196.24/196.44 apply zenon_H69. apply refl_equal. % 196.24/196.44 apply zenon_H69. apply refl_equal. % 196.24/196.44 apply zenon_H6d. apply sym_equal. exact zenon_H6c. % 196.24/196.44 apply zenon_H69. apply refl_equal. % 196.24/196.44 apply zenon_H69. apply refl_equal. % 196.24/196.44 (* end of lemma zenon_L36_ *) % 196.24/196.44 assert (zenon_L37_ : (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e23) (unit2)) = (e23)) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e21)) = (e21)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e20)) = (e20)) -> ((op2 (unit2) (e23)) = (e23)) -> ((op2 (e23) (e22)) = (e23)) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> False). % 196.24/196.44 do 0 intro. intros zenon_H49 zenon_H5d zenon_H41 zenon_H54 zenon_H40 zenon_H67 zenon_H76 zenon_H77 zenon_H39 zenon_H2a zenon_H20 zenon_H6c zenon_H86. % 196.24/196.44 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H1e | zenon_intro zenon_H4a ]. % 196.24/196.44 apply (zenon_L24_); trivial. % 196.24/196.44 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2b | zenon_intro zenon_H4b ]. % 196.24/196.44 apply (zenon_L25_); trivial. % 196.24/196.44 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H3f ]. % 196.24/196.44 apply (zenon_L35_); trivial. % 196.24/196.44 apply (zenon_L36_); trivial. % 196.24/196.44 (* end of lemma zenon_L37_ *) % 196.24/196.44 assert (zenon_L38_ : (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (e23) (unit2)) = (e23)) -> ((unit2) = (e20)) -> ((op2 (e23) (e23)) = (e23)) -> False). % 196.24/196.44 do 0 intro. intros zenon_H9e zenon_H54 zenon_H1e zenon_H87. % 196.24/196.44 cut (((op2 (e23) (unit2)) = (e23)) = ((op2 (e23) (e20)) = (op2 (e23) (e23)))). % 196.24/196.44 intro zenon_D_pnotp. % 196.24/196.44 apply zenon_H9e. % 196.24/196.44 rewrite <- zenon_D_pnotp. % 196.24/196.44 exact zenon_H54. % 196.24/196.44 cut (((e23) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H88]. % 196.24/196.44 cut (((op2 (e23) (unit2)) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H63]. % 196.24/196.44 congruence. % 196.24/196.44 elim (classic ((op2 (e23) (e20)) = (op2 (e23) (e20)))); [ zenon_intro zenon_H64 | zenon_intro zenon_H65 ]. % 196.24/196.44 cut (((op2 (e23) (e20)) = (op2 (e23) (e20))) = ((op2 (e23) (unit2)) = (op2 (e23) (e20)))). % 196.24/196.44 intro zenon_D_pnotp. % 196.24/196.44 apply zenon_H63. % 196.24/196.44 rewrite <- zenon_D_pnotp. % 196.24/196.44 exact zenon_H64. % 196.24/196.44 cut (((op2 (e23) (e20)) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H65]. % 196.24/196.44 cut (((op2 (e23) (e20)) = (op2 (e23) (unit2)))); [idtac | apply NNPP; zenon_intro zenon_H60]. % 196.24/196.44 congruence. % 196.24/196.44 apply (zenon_L18_); trivial. % 196.24/196.44 apply zenon_H65. apply refl_equal. % 196.24/196.44 apply zenon_H65. apply refl_equal. % 196.24/196.44 apply zenon_H88. apply sym_equal. exact zenon_H87. % 196.24/196.44 (* end of lemma zenon_L38_ *) % 196.24/196.44 assert (zenon_L39_ : (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e23) (unit2)) = (e23)) -> ((unit2) = (e21)) -> ((op2 (e23) (e23)) = (e23)) -> False). % 196.24/196.44 do 0 intro. intros zenon_H67 zenon_H54 zenon_H2b zenon_H87. % 196.24/196.44 cut (((op2 (e23) (unit2)) = (e23)) = ((op2 (e23) (e21)) = (op2 (e23) (e23)))). % 196.24/196.44 intro zenon_D_pnotp. % 196.24/196.44 apply zenon_H67. % 196.24/196.44 rewrite <- zenon_D_pnotp. % 196.24/196.44 exact zenon_H54. % 196.24/196.44 cut (((e23) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H88]. % 196.24/196.44 cut (((op2 (e23) (unit2)) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H5b]. % 196.24/196.44 congruence. % 196.24/196.44 elim (classic ((op2 (e23) (e21)) = (op2 (e23) (e21)))); [ zenon_intro zenon_H57 | zenon_intro zenon_H58 ]. % 196.24/196.44 cut (((op2 (e23) (e21)) = (op2 (e23) (e21))) = ((op2 (e23) (unit2)) = (op2 (e23) (e21)))). % 196.24/196.44 intro zenon_D_pnotp. % 196.24/196.44 apply zenon_H5b. % 196.24/196.44 rewrite <- zenon_D_pnotp. % 196.24/196.44 exact zenon_H57. % 196.24/196.44 cut (((op2 (e23) (e21)) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H58]. % 196.24/196.44 cut (((op2 (e23) (e21)) = (op2 (e23) (unit2)))); [idtac | apply NNPP; zenon_intro zenon_H53]. % 196.24/196.44 congruence. % 196.24/196.44 apply (zenon_L13_); trivial. % 196.24/196.44 apply zenon_H58. apply refl_equal. % 196.24/196.44 apply zenon_H58. apply refl_equal. % 196.24/196.44 apply zenon_H88. apply sym_equal. exact zenon_H87. % 196.24/196.44 (* end of lemma zenon_L39_ *) % 196.24/196.44 assert (zenon_L40_ : (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e23) (e23)) = (e23)) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((op2 (unit2) (e22)) = (e22)) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> False). % 196.24/196.44 do 0 intro. intros zenon_H49 zenon_H9e zenon_H67 zenon_H87 zenon_H54 zenon_H86 zenon_H37 zenon_H40 zenon_H41. % 196.24/196.44 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H1e | zenon_intro zenon_H4a ]. % 196.24/196.44 apply (zenon_L38_); trivial. % 196.24/196.44 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2b | zenon_intro zenon_H4b ]. % 196.24/196.44 apply (zenon_L39_); trivial. % 196.24/196.44 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H3f ]. % 196.24/196.44 apply (zenon_L33_); trivial. % 196.24/196.44 apply (zenon_L9_); trivial. % 196.24/196.44 (* end of lemma zenon_L40_ *) % 196.24/196.44 assert (zenon_L41_ : (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> ((op2 (e20) (e23)) = (e22)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (unit2) (e23)) = (e23)) -> ((op2 (unit2) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e21)) = (e21)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((op2 (unit2) (e22)) = (e22)) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> False). % 196.24/196.44 do 0 intro. intros zenon_H9f zenon_H4d zenon_H4e zenon_H29 zenon_H2c zenon_H56 zenon_H20 zenon_H2a zenon_H39 zenon_H77 zenon_H76 zenon_H5d zenon_H49 zenon_H9e zenon_H67 zenon_H54 zenon_H86 zenon_H37 zenon_H40 zenon_H41. % 196.24/196.44 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H55 | zenon_intro zenon_Ha0 ]. % 196.24/196.44 apply (zenon_L17_); trivial. % 196.24/196.44 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_H61 | zenon_intro zenon_Ha1 ]. % 196.24/196.44 apply (zenon_L23_); trivial. % 196.24/196.44 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H6c | zenon_intro zenon_H87 ]. % 196.24/196.44 apply (zenon_L37_); trivial. % 196.24/196.44 apply (zenon_L40_); trivial. % 196.24/196.44 (* end of lemma zenon_L41_ *) % 196.24/196.44 assert (zenon_L42_ : (~((op2 (e22) (e20)) = (op2 (e22) (unit2)))) -> ((unit2) = (e20)) -> False). % 196.24/196.44 do 0 intro. intros zenon_Ha2 zenon_H1e. % 196.24/196.44 cut (((e20) = (unit2))); [idtac | apply NNPP; zenon_intro zenon_H1f]. % 196.24/196.44 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H33]. % 196.24/196.44 congruence. % 196.24/196.44 apply zenon_H33. apply refl_equal. % 196.24/196.44 apply zenon_H1f. apply sym_equal. exact zenon_H1e. % 196.24/196.44 (* end of lemma zenon_L42_ *) % 196.24/196.44 assert (zenon_L43_ : (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((op2 (e22) (unit2)) = (e22)) -> ((unit2) = (e20)) -> ((op2 (e22) (e21)) = (e22)) -> False). % 196.24/196.44 do 0 intro. intros zenon_Ha3 zenon_Ha4 zenon_H1e zenon_Ha5. % 196.24/196.44 cut (((op2 (e22) (unit2)) = (e22)) = ((op2 (e22) (e20)) = (op2 (e22) (e21)))). % 196.24/196.44 intro zenon_D_pnotp. % 196.24/196.44 apply zenon_Ha3. % 196.24/196.44 rewrite <- zenon_D_pnotp. % 196.24/196.44 exact zenon_Ha4. % 196.24/196.44 cut (((e22) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_Ha6]. % 196.24/196.44 cut (((op2 (e22) (unit2)) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_Ha7]. % 196.24/196.44 congruence. % 196.24/196.44 elim (classic ((op2 (e22) (e20)) = (op2 (e22) (e20)))); [ zenon_intro zenon_H72 | zenon_intro zenon_H73 ]. % 196.24/196.44 cut (((op2 (e22) (e20)) = (op2 (e22) (e20))) = ((op2 (e22) (unit2)) = (op2 (e22) (e20)))). % 196.24/196.44 intro zenon_D_pnotp. % 196.24/196.44 apply zenon_Ha7. % 196.24/196.44 rewrite <- zenon_D_pnotp. % 196.24/196.44 exact zenon_H72. % 196.24/196.44 cut (((op2 (e22) (e20)) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H73]. % 196.24/196.44 cut (((op2 (e22) (e20)) = (op2 (e22) (unit2)))); [idtac | apply NNPP; zenon_intro zenon_Ha2]. % 196.24/196.44 congruence. % 196.24/196.44 apply (zenon_L42_); trivial. % 196.24/196.44 apply zenon_H73. apply refl_equal. % 196.24/196.44 apply zenon_H73. apply refl_equal. % 196.24/196.44 apply zenon_Ha6. apply sym_equal. exact zenon_Ha5. % 196.24/196.44 (* end of lemma zenon_L43_ *) % 196.24/196.44 assert (zenon_L44_ : (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> ((op2 (e22) (e21)) = (e22)) -> ((op2 (e22) (unit2)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e20)) = (e23)) -> ((op2 (e23) (unit2)) = (e23)) -> ((op2 (unit2) (e22)) = (e22)) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> False). % 196.24/196.44 do 0 intro. intros zenon_H49 zenon_Ha5 zenon_Ha4 zenon_Ha3 zenon_H56 zenon_H5d zenon_H55 zenon_H54 zenon_H37 zenon_H40 zenon_H41. % 196.24/196.44 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H1e | zenon_intro zenon_H4a ]. % 196.24/196.44 apply (zenon_L43_); trivial. % 196.24/196.44 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2b | zenon_intro zenon_H4b ]. % 196.24/196.44 apply (zenon_L14_); trivial. % 196.24/196.44 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H3f ]. % 196.24/196.44 apply (zenon_L16_); trivial. % 196.24/196.44 apply (zenon_L9_); trivial. % 196.24/196.44 (* end of lemma zenon_L44_ *) % 196.24/196.44 assert (zenon_L45_ : (~((op2 (e21) (e22)) = (op2 (unit2) (e22)))) -> ((unit2) = (e21)) -> False). % 196.24/196.44 do 0 intro. intros zenon_Ha8 zenon_H2b. % 196.24/196.44 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H33]. % 196.24/196.44 cut (((e21) = (unit2))); [idtac | apply NNPP; zenon_intro zenon_H32]. % 196.24/196.44 congruence. % 196.24/196.44 apply zenon_H32. apply sym_equal. exact zenon_H2b. % 196.24/196.44 apply zenon_H33. apply refl_equal. % 196.24/196.44 (* end of lemma zenon_L45_ *) % 196.24/196.44 assert (zenon_L46_ : (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> ((op2 (unit2) (e22)) = (e22)) -> ((unit2) = (e21)) -> ((op2 (e21) (e23)) = (e22)) -> False). % 196.24/196.44 do 0 intro. intros zenon_Ha9 zenon_H37 zenon_H2b zenon_Haa. % 196.24/196.44 cut (((op2 (unit2) (e22)) = (e22)) = ((op2 (e21) (e22)) = (op2 (e21) (e23)))). % 196.24/196.44 intro zenon_D_pnotp. % 196.24/196.44 apply zenon_Ha9. % 196.24/196.44 rewrite <- zenon_D_pnotp. % 196.24/196.44 exact zenon_H37. % 196.24/196.44 cut (((e22) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_Hab]. % 196.24/196.44 cut (((op2 (unit2) (e22)) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_Hac]. % 196.24/196.44 congruence. % 196.24/196.44 elim (classic ((op2 (e21) (e22)) = (op2 (e21) (e22)))); [ zenon_intro zenon_Had | zenon_intro zenon_Hae ]. % 196.24/196.44 cut (((op2 (e21) (e22)) = (op2 (e21) (e22))) = ((op2 (unit2) (e22)) = (op2 (e21) (e22)))). % 196.24/196.44 intro zenon_D_pnotp. % 196.24/196.44 apply zenon_Hac. % 196.24/196.44 rewrite <- zenon_D_pnotp. % 196.24/196.44 exact zenon_Had. % 196.24/196.44 cut (((op2 (e21) (e22)) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_Hae]. % 196.24/196.44 cut (((op2 (e21) (e22)) = (op2 (unit2) (e22)))); [idtac | apply NNPP; zenon_intro zenon_Ha8]. % 196.24/196.44 congruence. % 196.24/196.44 apply (zenon_L45_); trivial. % 196.24/196.44 apply zenon_Hae. apply refl_equal. % 196.24/196.44 apply zenon_Hae. apply refl_equal. % 196.24/196.44 apply zenon_Hab. apply sym_equal. exact zenon_Haa. % 196.24/196.44 (* end of lemma zenon_L46_ *) % 196.24/196.44 assert (zenon_L47_ : (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e21) (e23)) = (e22)) -> ((op2 (unit2) (e22)) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e23) (unit2)) = (e23)) -> ((op2 (unit2) (e23)) = (e23)) -> ((op2 (e23) (e21)) = (e23)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> False). % 196.24/196.44 do 0 intro. intros zenon_H49 zenon_H56 zenon_Haa zenon_H37 zenon_Ha9 zenon_H41 zenon_H54 zenon_H20 zenon_H61 zenon_H67. % 196.24/196.44 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H1e | zenon_intro zenon_H4a ]. % 196.24/196.44 apply (zenon_L19_); trivial. % 196.24/196.44 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2b | zenon_intro zenon_H4b ]. % 196.24/196.44 apply (zenon_L46_); trivial. % 196.24/196.44 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H3f ]. % 196.24/196.44 apply (zenon_L20_); trivial. % 196.24/196.44 apply (zenon_L22_); trivial. % 196.24/196.44 (* end of lemma zenon_L47_ *) % 196.24/196.44 assert (zenon_L48_ : (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((op2 (e22) (unit2)) = (e22)) -> ((op2 (e22) (e21)) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> ((op2 (e21) (e23)) = (e22)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (unit2) (e23)) = (e23)) -> ((op2 (unit2) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e21)) = (e21)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((op2 (unit2) (e22)) = (e22)) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> False). % 196.24/196.44 do 0 intro. intros zenon_H9f zenon_Ha3 zenon_Ha4 zenon_Ha5 zenon_Ha9 zenon_Haa zenon_H56 zenon_H20 zenon_H2a zenon_H39 zenon_H77 zenon_H76 zenon_H5d zenon_H49 zenon_H9e zenon_H67 zenon_H54 zenon_H86 zenon_H37 zenon_H40 zenon_H41. % 196.24/196.44 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H55 | zenon_intro zenon_Ha0 ]. % 196.24/196.44 apply (zenon_L44_); trivial. % 196.24/196.44 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_H61 | zenon_intro zenon_Ha1 ]. % 196.24/196.44 apply (zenon_L47_); trivial. % 196.24/196.44 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H6c | zenon_intro zenon_H87 ]. % 196.24/196.44 apply (zenon_L37_); trivial. % 196.24/196.44 apply (zenon_L40_); trivial. % 196.24/196.44 (* end of lemma zenon_L48_ *) % 196.24/196.44 assert (zenon_L49_ : (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e22) (unit2)) = (e22)) -> ((unit2) = (e20)) -> ((op2 (e22) (e23)) = (e22)) -> False). % 196.24/196.44 do 0 intro. intros zenon_Haf zenon_Ha4 zenon_H1e zenon_Hb0. % 196.24/196.44 cut (((op2 (e22) (unit2)) = (e22)) = ((op2 (e22) (e20)) = (op2 (e22) (e23)))). % 196.24/196.44 intro zenon_D_pnotp. % 196.24/196.44 apply zenon_Haf. % 196.24/196.44 rewrite <- zenon_D_pnotp. % 196.24/196.44 exact zenon_Ha4. % 196.24/196.44 cut (((e22) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_Hb1]. % 196.24/196.44 cut (((op2 (e22) (unit2)) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_Ha7]. % 196.24/196.44 congruence. % 196.24/196.44 elim (classic ((op2 (e22) (e20)) = (op2 (e22) (e20)))); [ zenon_intro zenon_H72 | zenon_intro zenon_H73 ]. % 196.24/196.44 cut (((op2 (e22) (e20)) = (op2 (e22) (e20))) = ((op2 (e22) (unit2)) = (op2 (e22) (e20)))). % 196.24/196.44 intro zenon_D_pnotp. % 196.24/196.44 apply zenon_Ha7. % 196.24/196.44 rewrite <- zenon_D_pnotp. % 196.24/196.45 exact zenon_H72. % 196.24/196.45 cut (((op2 (e22) (e20)) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H73]. % 196.24/196.45 cut (((op2 (e22) (e20)) = (op2 (e22) (unit2)))); [idtac | apply NNPP; zenon_intro zenon_Ha2]. % 196.24/196.45 congruence. % 196.24/196.45 apply (zenon_L42_); trivial. % 196.24/196.45 apply zenon_H73. apply refl_equal. % 196.24/196.45 apply zenon_H73. apply refl_equal. % 196.24/196.45 apply zenon_Hb1. apply sym_equal. exact zenon_Hb0. % 196.24/196.45 (* end of lemma zenon_L49_ *) % 196.24/196.45 assert (zenon_L50_ : (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> ((op2 (e22) (e23)) = (e22)) -> ((op2 (e22) (unit2)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e20)) = (e23)) -> ((op2 (e23) (unit2)) = (e23)) -> ((op2 (unit2) (e22)) = (e22)) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> False). % 196.24/196.45 do 0 intro. intros zenon_H49 zenon_Hb0 zenon_Ha4 zenon_Haf zenon_H56 zenon_H5d zenon_H55 zenon_H54 zenon_H37 zenon_H40 zenon_H41. % 196.24/196.45 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H1e | zenon_intro zenon_H4a ]. % 196.24/196.45 apply (zenon_L49_); trivial. % 196.24/196.45 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2b | zenon_intro zenon_H4b ]. % 196.24/196.45 apply (zenon_L14_); trivial. % 196.24/196.45 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H3f ]. % 196.24/196.45 apply (zenon_L16_); trivial. % 196.24/196.45 apply (zenon_L9_); trivial. % 196.24/196.45 (* end of lemma zenon_L50_ *) % 196.24/196.45 assert (zenon_L51_ : (~((op2 (e22) (e21)) = (op2 (e22) (unit2)))) -> ((unit2) = (e21)) -> False). % 196.24/196.45 do 0 intro. intros zenon_Hb2 zenon_H2b. % 196.24/196.45 cut (((e21) = (unit2))); [idtac | apply NNPP; zenon_intro zenon_H32]. % 196.24/196.45 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H33]. % 196.24/196.45 congruence. % 196.24/196.45 apply zenon_H33. apply refl_equal. % 196.24/196.45 apply zenon_H32. apply sym_equal. exact zenon_H2b. % 196.24/196.45 (* end of lemma zenon_L51_ *) % 196.24/196.45 assert (zenon_L52_ : (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((op2 (e22) (unit2)) = (e22)) -> ((unit2) = (e21)) -> ((op2 (e22) (e23)) = (e22)) -> False). % 196.24/196.45 do 0 intro. intros zenon_Hb3 zenon_Ha4 zenon_H2b zenon_Hb0. % 196.24/196.45 cut (((op2 (e22) (unit2)) = (e22)) = ((op2 (e22) (e21)) = (op2 (e22) (e23)))). % 196.24/196.45 intro zenon_D_pnotp. % 196.24/196.45 apply zenon_Hb3. % 196.24/196.45 rewrite <- zenon_D_pnotp. % 196.24/196.45 exact zenon_Ha4. % 196.24/196.45 cut (((e22) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_Hb1]. % 196.24/196.45 cut (((op2 (e22) (unit2)) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_Hb4]. % 196.24/196.45 congruence. % 196.24/196.45 elim (classic ((op2 (e22) (e21)) = (op2 (e22) (e21)))); [ zenon_intro zenon_H7b | zenon_intro zenon_H7c ]. % 196.24/196.45 cut (((op2 (e22) (e21)) = (op2 (e22) (e21))) = ((op2 (e22) (unit2)) = (op2 (e22) (e21)))). % 196.24/196.45 intro zenon_D_pnotp. % 196.24/196.45 apply zenon_Hb4. % 196.24/196.45 rewrite <- zenon_D_pnotp. % 196.24/196.45 exact zenon_H7b. % 196.24/196.45 cut (((op2 (e22) (e21)) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H7c]. % 196.24/196.45 cut (((op2 (e22) (e21)) = (op2 (e22) (unit2)))); [idtac | apply NNPP; zenon_intro zenon_Hb2]. % 196.24/196.45 congruence. % 196.24/196.45 apply (zenon_L51_); trivial. % 196.24/196.45 apply zenon_H7c. apply refl_equal. % 196.24/196.45 apply zenon_H7c. apply refl_equal. % 196.24/196.45 apply zenon_Hb1. apply sym_equal. exact zenon_Hb0. % 196.24/196.45 (* end of lemma zenon_L52_ *) % 196.24/196.45 assert (zenon_L53_ : (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e22) (e23)) = (e22)) -> ((op2 (e22) (unit2)) = (e22)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((op2 (e23) (e21)) = (e23)) -> ((op2 (e23) (unit2)) = (e23)) -> ((op2 (unit2) (e22)) = (e22)) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> False). % 196.24/196.45 do 0 intro. intros zenon_H49 zenon_Haf zenon_Hb0 zenon_Ha4 zenon_Hb3 zenon_H61 zenon_H54 zenon_H37 zenon_H40 zenon_H41. % 196.24/196.45 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H1e | zenon_intro zenon_H4a ]. % 196.24/196.45 apply (zenon_L49_); trivial. % 196.24/196.45 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2b | zenon_intro zenon_H4b ]. % 196.24/196.45 apply (zenon_L52_); trivial. % 196.24/196.45 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H3f ]. % 196.24/196.45 apply (zenon_L20_); trivial. % 196.24/196.45 apply (zenon_L9_); trivial. % 196.24/196.45 (* end of lemma zenon_L53_ *) % 196.24/196.45 assert (zenon_L54_ : (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e22) (e23)) = (e22)) -> ((op2 (unit2) (e22)) = (e22)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((op2 (unit2) (e23)) = (e23)) -> ((op2 (e23) (e22)) = (e23)) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> False). % 196.24/196.45 do 0 intro. intros zenon_H49 zenon_H5d zenon_H54 zenon_H41 zenon_Hb0 zenon_H37 zenon_Hb5 zenon_H20 zenon_H6c zenon_H86. % 196.24/196.45 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H1e | zenon_intro zenon_H4a ]. % 196.24/196.45 apply (zenon_L24_); trivial. % 196.24/196.45 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2b | zenon_intro zenon_H4b ]. % 196.24/196.45 apply (zenon_L25_); trivial. % 196.24/196.45 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H3f ]. % 196.24/196.45 cut (((op2 (unit2) (e22)) = (e22)) = ((op2 (e22) (e22)) = (op2 (e22) (e23)))). % 196.24/196.45 intro zenon_D_pnotp. % 196.24/196.45 apply zenon_Hb5. % 196.24/196.45 rewrite <- zenon_D_pnotp. % 196.24/196.45 exact zenon_H37. % 196.24/196.45 cut (((e22) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_Hb1]. % 196.24/196.45 cut (((op2 (unit2) (e22)) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H3e]. % 196.24/196.45 congruence. % 196.24/196.45 elim (classic ((op2 (e22) (e22)) = (op2 (e22) (e22)))); [ zenon_intro zenon_H3a | zenon_intro zenon_H3b ]. % 196.24/196.45 cut (((op2 (e22) (e22)) = (op2 (e22) (e22))) = ((op2 (unit2) (e22)) = (op2 (e22) (e22)))). % 196.24/196.45 intro zenon_D_pnotp. % 196.24/196.45 apply zenon_H3e. % 196.24/196.45 rewrite <- zenon_D_pnotp. % 196.24/196.45 exact zenon_H3a. % 196.24/196.45 cut (((op2 (e22) (e22)) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H3b]. % 196.24/196.45 cut (((op2 (e22) (e22)) = (op2 (unit2) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H34]. % 196.24/196.45 congruence. % 196.24/196.45 apply (zenon_L7_); trivial. % 196.24/196.45 apply zenon_H3b. apply refl_equal. % 196.24/196.45 apply zenon_H3b. apply refl_equal. % 196.24/196.45 apply zenon_Hb1. apply sym_equal. exact zenon_Hb0. % 196.24/196.45 apply (zenon_L36_); trivial. % 196.24/196.45 (* end of lemma zenon_L54_ *) % 196.24/196.45 assert (zenon_L55_ : (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((op2 (e22) (unit2)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (unit2) (e23)) = (e23)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((op2 (e22) (e23)) = (e22)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((op2 (unit2) (e22)) = (e22)) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> False). % 196.24/196.45 do 0 intro. intros zenon_H9f zenon_H56 zenon_Hb3 zenon_Ha4 zenon_Haf zenon_H20 zenon_Hb5 zenon_Hb0 zenon_H5d zenon_H49 zenon_H9e zenon_H67 zenon_H54 zenon_H86 zenon_H37 zenon_H40 zenon_H41. % 196.24/196.45 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H55 | zenon_intro zenon_Ha0 ]. % 196.24/196.45 apply (zenon_L50_); trivial. % 196.24/196.45 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_H61 | zenon_intro zenon_Ha1 ]. % 196.24/196.45 apply (zenon_L53_); trivial. % 196.24/196.45 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H6c | zenon_intro zenon_H87 ]. % 196.24/196.45 apply (zenon_L54_); trivial. % 196.24/196.45 apply (zenon_L40_); trivial. % 196.24/196.45 (* end of lemma zenon_L55_ *) % 196.24/196.45 assert (zenon_L56_ : (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e21)) = (e21)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e20)) = (e20)) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> ((op2 (e22) (e21)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (unit2) (e22)) = (e22)) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((op2 (unit2) (e23)) = (e23)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e22) (unit2)) = (e22)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> False). % 196.24/196.45 do 0 intro. intros zenon_Hb6 zenon_H2c zenon_H29 zenon_H4d zenon_H76 zenon_H77 zenon_H39 zenon_H2a zenon_Ha9 zenon_Ha5 zenon_Ha3 zenon_H41 zenon_H37 zenon_H86 zenon_H54 zenon_H9e zenon_H49 zenon_H5d zenon_Hb5 zenon_H20 zenon_Haf zenon_Ha4 zenon_Hb3 zenon_H56 zenon_H9f zenon_H40 zenon_H67. % 196.24/196.45 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_H4e | zenon_intro zenon_Hb7 ]. % 196.24/196.45 apply (zenon_L41_); trivial. % 196.24/196.45 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_Haa | zenon_intro zenon_Hb8 ]. % 196.24/196.45 apply (zenon_L48_); trivial. % 196.24/196.45 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H7d ]. % 196.24/196.45 apply (zenon_L55_); trivial. % 196.24/196.45 apply (zenon_L31_); trivial. % 196.24/196.45 (* end of lemma zenon_L56_ *) % 196.24/196.45 assert (zenon_L57_ : (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (e22) (unit2)) = (e22)) -> ((unit2) = (e20)) -> ((op2 (e22) (e22)) = (e22)) -> False). % 196.24/196.45 do 0 intro. intros zenon_H39 zenon_Ha4 zenon_H1e zenon_H85. % 196.24/196.45 cut (((op2 (e22) (unit2)) = (e22)) = ((op2 (e22) (e20)) = (op2 (e22) (e22)))). % 196.24/196.45 intro zenon_D_pnotp. % 196.24/196.45 apply zenon_H39. % 196.24/196.45 rewrite <- zenon_D_pnotp. % 196.24/196.45 exact zenon_Ha4. % 196.24/196.45 cut (((e22) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_Hb9]. % 196.24/196.45 cut (((op2 (e22) (unit2)) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_Ha7]. % 196.24/196.45 congruence. % 196.24/196.45 elim (classic ((op2 (e22) (e20)) = (op2 (e22) (e20)))); [ zenon_intro zenon_H72 | zenon_intro zenon_H73 ]. % 196.24/196.45 cut (((op2 (e22) (e20)) = (op2 (e22) (e20))) = ((op2 (e22) (unit2)) = (op2 (e22) (e20)))). % 196.24/196.45 intro zenon_D_pnotp. % 196.24/196.45 apply zenon_Ha7. % 196.24/196.45 rewrite <- zenon_D_pnotp. % 196.24/196.45 exact zenon_H72. % 196.24/196.45 cut (((op2 (e22) (e20)) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H73]. % 196.24/196.45 cut (((op2 (e22) (e20)) = (op2 (e22) (unit2)))); [idtac | apply NNPP; zenon_intro zenon_Ha2]. % 196.24/196.45 congruence. % 196.24/196.45 apply (zenon_L42_); trivial. % 196.24/196.45 apply zenon_H73. apply refl_equal. % 196.24/196.45 apply zenon_H73. apply refl_equal. % 196.24/196.45 apply zenon_Hb9. apply sym_equal. exact zenon_H85. % 196.24/196.45 (* end of lemma zenon_L57_ *) % 196.24/196.45 assert (zenon_L58_ : (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> ((op2 (e22) (e22)) = (e22)) -> ((op2 (e22) (unit2)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e20)) = (e23)) -> ((op2 (e23) (unit2)) = (e23)) -> ((op2 (unit2) (e22)) = (e22)) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> False). % 196.24/196.45 do 0 intro. intros zenon_H49 zenon_H85 zenon_Ha4 zenon_H39 zenon_H56 zenon_H5d zenon_H55 zenon_H54 zenon_H37 zenon_H40 zenon_H41. % 196.24/196.45 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H1e | zenon_intro zenon_H4a ]. % 196.24/196.45 apply (zenon_L57_); trivial. % 196.24/196.45 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2b | zenon_intro zenon_H4b ]. % 196.24/196.45 apply (zenon_L14_); trivial. % 196.24/196.45 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H3f ]. % 196.24/196.45 apply (zenon_L16_); trivial. % 196.24/196.45 apply (zenon_L9_); trivial. % 196.24/196.45 (* end of lemma zenon_L58_ *) % 196.24/196.45 assert (zenon_L59_ : (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> ((op2 (e22) (unit2)) = (e22)) -> ((unit2) = (e21)) -> ((op2 (e22) (e22)) = (e22)) -> False). % 196.24/196.45 do 0 intro. intros zenon_H76 zenon_Ha4 zenon_H2b zenon_H85. % 196.24/196.45 cut (((op2 (e22) (unit2)) = (e22)) = ((op2 (e22) (e21)) = (op2 (e22) (e22)))). % 196.24/196.45 intro zenon_D_pnotp. % 196.24/196.45 apply zenon_H76. % 196.24/196.45 rewrite <- zenon_D_pnotp. % 196.24/196.45 exact zenon_Ha4. % 196.24/196.45 cut (((e22) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_Hb9]. % 196.24/196.45 cut (((op2 (e22) (unit2)) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_Hb4]. % 196.24/196.45 congruence. % 196.24/196.45 elim (classic ((op2 (e22) (e21)) = (op2 (e22) (e21)))); [ zenon_intro zenon_H7b | zenon_intro zenon_H7c ]. % 196.24/196.45 cut (((op2 (e22) (e21)) = (op2 (e22) (e21))) = ((op2 (e22) (unit2)) = (op2 (e22) (e21)))). % 196.24/196.45 intro zenon_D_pnotp. % 196.24/196.45 apply zenon_Hb4. % 196.24/196.45 rewrite <- zenon_D_pnotp. % 196.24/196.45 exact zenon_H7b. % 196.24/196.45 cut (((op2 (e22) (e21)) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H7c]. % 196.24/196.45 cut (((op2 (e22) (e21)) = (op2 (e22) (unit2)))); [idtac | apply NNPP; zenon_intro zenon_Hb2]. % 196.24/196.45 congruence. % 196.24/196.45 apply (zenon_L51_); trivial. % 196.24/196.45 apply zenon_H7c. apply refl_equal. % 196.24/196.45 apply zenon_H7c. apply refl_equal. % 196.24/196.45 apply zenon_Hb9. apply sym_equal. exact zenon_H85. % 196.24/196.45 (* end of lemma zenon_L59_ *) % 196.24/196.45 assert (zenon_L60_ : (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> ((op2 (e20) (e23)) = (e22)) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> ((op2 (e22) (e22)) = (e22)) -> ((op2 (e22) (unit2)) = (e22)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> ((op2 (e23) (e21)) = (e23)) -> ((op2 (e23) (unit2)) = (e23)) -> ((op2 (unit2) (e22)) = (e22)) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> False). % 196.24/196.45 do 0 intro. intros zenon_H49 zenon_H4e zenon_H4d zenon_H85 zenon_Ha4 zenon_H76 zenon_H61 zenon_H54 zenon_H37 zenon_H40 zenon_H41. % 196.24/196.45 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H1e | zenon_intro zenon_H4a ]. % 196.24/196.45 apply (zenon_L12_); trivial. % 196.24/196.45 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2b | zenon_intro zenon_H4b ]. % 196.24/196.45 apply (zenon_L59_); trivial. % 196.24/196.45 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H3f ]. % 196.24/196.45 apply (zenon_L20_); trivial. % 196.24/196.45 apply (zenon_L9_); trivial. % 196.24/196.45 (* end of lemma zenon_L60_ *) % 196.24/196.45 assert (zenon_L61_ : (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e22) (unit2)) = (e22)) -> ((op2 (e22) (e22)) = (e22)) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> ((op2 (e20) (e23)) = (e22)) -> ((op2 (unit2) (e23)) = (e23)) -> ((op2 (unit2) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e21)) = (e21)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((op2 (unit2) (e22)) = (e22)) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> False). % 196.24/196.45 do 0 intro. intros zenon_H9f zenon_H56 zenon_Ha4 zenon_H85 zenon_H4d zenon_H4e zenon_H20 zenon_H2a zenon_H39 zenon_H77 zenon_H76 zenon_H5d zenon_H49 zenon_H9e zenon_H67 zenon_H54 zenon_H86 zenon_H37 zenon_H40 zenon_H41. % 196.24/196.45 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H55 | zenon_intro zenon_Ha0 ]. % 196.24/196.45 apply (zenon_L58_); trivial. % 196.24/196.45 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_H61 | zenon_intro zenon_Ha1 ]. % 196.24/196.45 apply (zenon_L60_); trivial. % 196.24/196.45 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H6c | zenon_intro zenon_H87 ]. % 196.24/196.45 apply (zenon_L37_); trivial. % 196.24/196.45 apply (zenon_L40_); trivial. % 196.24/196.45 (* end of lemma zenon_L61_ *) % 196.24/196.45 assert (zenon_L62_ : (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((op2 (e22) (unit2)) = (e22)) -> ((op2 (e22) (e22)) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> ((op2 (e21) (e23)) = (e22)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (unit2) (e23)) = (e23)) -> ((op2 (unit2) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e21)) = (e21)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((op2 (unit2) (e22)) = (e22)) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> False). % 196.24/196.45 do 0 intro. intros zenon_H9f zenon_Ha4 zenon_H85 zenon_Ha9 zenon_Haa zenon_H56 zenon_H20 zenon_H2a zenon_H39 zenon_H77 zenon_H76 zenon_H5d zenon_H49 zenon_H9e zenon_H67 zenon_H54 zenon_H86 zenon_H37 zenon_H40 zenon_H41. % 196.24/196.45 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H55 | zenon_intro zenon_Ha0 ]. % 196.24/196.45 apply (zenon_L58_); trivial. % 196.24/196.45 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_H61 | zenon_intro zenon_Ha1 ]. % 196.24/196.45 apply (zenon_L47_); trivial. % 196.24/196.45 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H6c | zenon_intro zenon_H87 ]. % 196.24/196.45 apply (zenon_L37_); trivial. % 196.24/196.45 apply (zenon_L40_); trivial. % 196.24/196.45 (* end of lemma zenon_L62_ *) % 196.24/196.45 assert (zenon_L63_ : (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e21)) = (e21)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e20)) = (e20)) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> ((op2 (e22) (e22)) = (e22)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (unit2) (e22)) = (e22)) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((op2 (unit2) (e23)) = (e23)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e22) (unit2)) = (e22)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> False). % 196.24/196.45 do 0 intro. intros zenon_Hb6 zenon_H4d zenon_H76 zenon_H77 zenon_H39 zenon_H2a zenon_Ha9 zenon_H85 zenon_H41 zenon_H37 zenon_H86 zenon_H54 zenon_H9e zenon_H49 zenon_H5d zenon_Hb5 zenon_H20 zenon_Haf zenon_Ha4 zenon_Hb3 zenon_H56 zenon_H9f zenon_H40 zenon_H67. % 196.24/196.45 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_H4e | zenon_intro zenon_Hb7 ]. % 196.24/196.45 apply (zenon_L61_); trivial. % 196.24/196.45 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_Haa | zenon_intro zenon_Hb8 ]. % 196.24/196.45 apply (zenon_L62_); trivial. % 196.24/196.45 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H7d ]. % 196.24/196.45 apply (zenon_L55_); trivial. % 196.24/196.45 apply (zenon_L31_); trivial. % 196.24/196.45 (* end of lemma zenon_L63_ *) % 196.24/196.45 assert (zenon_L64_ : (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> ((op2 (e20) (e21)) = (e23)) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> ((op2 (unit2) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e21)) = (e21)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((op2 (e22) (unit2)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (unit2) (e23)) = (e23)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((op2 (unit2) (e22)) = (e22)) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> False). % 196.24/196.45 do 0 intro. intros zenon_Hba zenon_H21 zenon_H22 zenon_Ha3 zenon_H29 zenon_H2c zenon_Ha9 zenon_H2a zenon_H39 zenon_H77 zenon_H76 zenon_H4d zenon_Hb6 zenon_H9f zenon_H56 zenon_Hb3 zenon_Ha4 zenon_Haf zenon_H20 zenon_Hb5 zenon_H5d zenon_H49 zenon_H9e zenon_H67 zenon_H54 zenon_H86 zenon_H37 zenon_H40 zenon_H41. % 196.24/196.45 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H38 | zenon_intro zenon_Hbb ]. % 196.24/196.45 apply (zenon_L10_); trivial. % 196.24/196.45 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_Ha5 | zenon_intro zenon_Hbc ]. % 196.24/196.45 apply (zenon_L56_); trivial. % 196.24/196.45 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H85 | zenon_intro zenon_Hb0 ]. % 196.24/196.45 apply (zenon_L63_); trivial. % 196.24/196.45 apply (zenon_L55_); trivial. % 196.24/196.45 (* end of lemma zenon_L64_ *) % 196.24/196.45 assert (zenon_L65_ : (~((e20) = (e23))) -> ((e20) = (op2 (e21) (e21))) -> ((op2 (e21) (e21)) = (e23)) -> False). % 196.24/196.45 do 0 intro. intros zenon_Hbd zenon_H2c zenon_H8d. % 196.24/196.45 cut (((e20) = (op2 (e21) (e21))) = ((e20) = (e23))). % 196.24/196.45 intro zenon_D_pnotp. % 196.24/196.45 apply zenon_Hbd. % 196.24/196.45 rewrite <- zenon_D_pnotp. % 196.24/196.45 exact zenon_H2c. % 196.24/196.45 cut (((op2 (e21) (e21)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_Hbe]. % 196.24/196.45 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H28]. % 196.24/196.45 congruence. % 196.24/196.45 apply zenon_H28. apply refl_equal. % 196.24/196.45 exact (zenon_Hbe zenon_H8d). % 196.24/196.45 (* end of lemma zenon_L65_ *) % 196.24/196.45 assert (zenon_L66_ : (~((op2 (e20) (e21)) = (op2 (unit2) (e21)))) -> ((unit2) = (e20)) -> False). % 196.24/196.45 do 0 intro. intros zenon_Hbf zenon_H1e. % 196.24/196.45 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H74]. % 196.24/196.45 cut (((e20) = (unit2))); [idtac | apply NNPP; zenon_intro zenon_H1f]. % 196.24/196.45 congruence. % 196.24/196.45 apply zenon_H1f. apply sym_equal. exact zenon_H1e. % 196.24/196.45 apply zenon_H74. apply refl_equal. % 196.24/196.45 (* end of lemma zenon_L66_ *) % 196.24/196.45 assert (zenon_L67_ : (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> ((op2 (e20) (e22)) = (e21)) -> ((op2 (unit2) (e21)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e20)) = (e23)) -> ((op2 (e23) (unit2)) = (e23)) -> ((op2 (unit2) (e22)) = (e22)) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> False). % 196.24/196.45 do 0 intro. intros zenon_H49 zenon_Hc0 zenon_H77 zenon_Hc1 zenon_H56 zenon_H5d zenon_H55 zenon_H54 zenon_H37 zenon_H40 zenon_H41. % 196.24/196.45 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H1e | zenon_intro zenon_H4a ]. % 196.24/196.45 cut (((op2 (unit2) (e21)) = (e21)) = ((op2 (e20) (e21)) = (op2 (e20) (e22)))). % 196.24/196.45 intro zenon_D_pnotp. % 196.24/196.45 apply zenon_Hc1. % 196.24/196.45 rewrite <- zenon_D_pnotp. % 196.24/196.45 exact zenon_H77. % 196.24/196.45 cut (((e21) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_Hc2]. % 196.24/196.45 cut (((op2 (unit2) (e21)) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_Hc3]. % 196.24/196.45 congruence. % 196.24/196.45 elim (classic ((op2 (e20) (e21)) = (op2 (e20) (e21)))); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Hc5 ]. % 196.24/196.45 cut (((op2 (e20) (e21)) = (op2 (e20) (e21))) = ((op2 (unit2) (e21)) = (op2 (e20) (e21)))). % 196.24/196.45 intro zenon_D_pnotp. % 196.24/196.45 apply zenon_Hc3. % 196.24/196.45 rewrite <- zenon_D_pnotp. % 196.24/196.45 exact zenon_Hc4. % 196.24/196.45 cut (((op2 (e20) (e21)) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_Hc5]. % 196.24/196.45 cut (((op2 (e20) (e21)) = (op2 (unit2) (e21)))); [idtac | apply NNPP; zenon_intro zenon_Hbf]. % 196.24/196.45 congruence. % 196.24/196.45 apply (zenon_L66_); trivial. % 196.24/196.45 apply zenon_Hc5. apply refl_equal. % 196.24/196.45 apply zenon_Hc5. apply refl_equal. % 196.24/196.45 apply zenon_Hc2. apply sym_equal. exact zenon_Hc0. % 196.24/196.45 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2b | zenon_intro zenon_H4b ]. % 196.24/196.45 apply (zenon_L14_); trivial. % 196.24/196.45 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H3f ]. % 196.24/196.45 apply (zenon_L16_); trivial. % 196.24/196.45 apply (zenon_L9_); trivial. % 196.24/196.45 (* end of lemma zenon_L67_ *) % 196.24/196.45 assert (zenon_L68_ : (~((op2 (e22) (e23)) = (op2 (unit2) (e23)))) -> ((unit2) = (e22)) -> False). % 196.24/196.45 do 0 intro. intros zenon_Hc6 zenon_H35. % 196.24/196.45 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H1c]. % 196.24/196.45 cut (((e22) = (unit2))); [idtac | apply NNPP; zenon_intro zenon_H36]. % 196.24/196.45 congruence. % 196.24/196.45 apply zenon_H36. apply sym_equal. exact zenon_H35. % 196.24/196.45 apply zenon_H1c. apply refl_equal. % 196.24/196.45 (* end of lemma zenon_L68_ *) % 196.24/196.45 assert (zenon_L69_ : ((op2 (unit2) (e23)) = (e23)) -> ((unit2) = (e22)) -> ((op2 (e22) (e21)) = (e23)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> False). % 196.24/196.45 do 0 intro. intros zenon_H20 zenon_H35 zenon_Hc7 zenon_Hb3. % 196.24/196.45 elim (classic ((op2 (e22) (e23)) = (op2 (e22) (e23)))); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hc9 ]. % 196.24/196.45 cut (((op2 (e22) (e23)) = (op2 (e22) (e23))) = ((op2 (e22) (e21)) = (op2 (e22) (e23)))). % 196.24/196.45 intro zenon_D_pnotp. % 196.24/196.45 apply zenon_Hb3. % 196.24/196.45 rewrite <- zenon_D_pnotp. % 196.24/196.45 exact zenon_Hc8. % 196.24/196.45 cut (((op2 (e22) (e23)) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_Hc9]. % 196.24/196.45 cut (((op2 (e22) (e23)) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_Hca]. % 196.24/196.45 congruence. % 196.24/196.45 cut (((op2 (unit2) (e23)) = (e23)) = ((op2 (e22) (e23)) = (op2 (e22) (e21)))). % 196.24/196.45 intro zenon_D_pnotp. % 196.24/196.45 apply zenon_Hca. % 196.24/196.45 rewrite <- zenon_D_pnotp. % 196.24/196.45 exact zenon_H20. % 196.24/196.45 cut (((e23) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_Hcb]. % 196.24/196.45 cut (((op2 (unit2) (e23)) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_Hcc]. % 196.24/196.45 congruence. % 196.24/196.45 elim (classic ((op2 (e22) (e23)) = (op2 (e22) (e23)))); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hc9 ]. % 196.24/196.45 cut (((op2 (e22) (e23)) = (op2 (e22) (e23))) = ((op2 (unit2) (e23)) = (op2 (e22) (e23)))). % 196.24/196.45 intro zenon_D_pnotp. % 196.24/196.45 apply zenon_Hcc. % 196.24/196.45 rewrite <- zenon_D_pnotp. % 196.24/196.45 exact zenon_Hc8. % 196.24/196.45 cut (((op2 (e22) (e23)) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_Hc9]. % 196.24/196.45 cut (((op2 (e22) (e23)) = (op2 (unit2) (e23)))); [idtac | apply NNPP; zenon_intro zenon_Hc6]. % 196.24/196.45 congruence. % 196.24/196.45 apply (zenon_L68_); trivial. % 196.24/196.45 apply zenon_Hc9. apply refl_equal. % 196.24/196.45 apply zenon_Hc9. apply refl_equal. % 196.24/196.45 apply zenon_Hcb. apply sym_equal. exact zenon_Hc7. % 196.24/196.45 apply zenon_Hc9. apply refl_equal. % 196.24/196.45 apply zenon_Hc9. apply refl_equal. % 196.24/196.45 (* end of lemma zenon_L69_ *) % 196.24/196.45 assert (zenon_L70_ : (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e22)) = (e23)) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((op2 (e22) (e21)) = (e23)) -> ((op2 (unit2) (e23)) = (e23)) -> ((op2 (unit2) (e22)) = (e22)) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> False). % 196.24/196.45 do 0 intro. intros zenon_H49 zenon_H5d zenon_H6c zenon_H54 zenon_Hb3 zenon_Hc7 zenon_H20 zenon_H37 zenon_H40 zenon_H41. % 196.24/196.45 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H1e | zenon_intro zenon_H4a ]. % 196.24/196.45 apply (zenon_L24_); trivial. % 196.24/196.45 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2b | zenon_intro zenon_H4b ]. % 196.24/196.45 apply (zenon_L25_); trivial. % 196.24/196.45 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H3f ]. % 196.24/196.45 apply (zenon_L69_); trivial. % 196.24/196.45 apply (zenon_L9_); trivial. % 196.24/196.45 (* end of lemma zenon_L70_ *) % 196.24/196.45 assert (zenon_L71_ : (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((op2 (unit2) (e21)) = (e21)) -> ((op2 (e20) (e22)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (unit2) (e20)) = (e20)) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (unit2) (e23)) = (e23)) -> ((op2 (e22) (e21)) = (e23)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((op2 (unit2) (e22)) = (e22)) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> False). % 196.24/196.45 do 0 intro. intros zenon_H9f zenon_Hc1 zenon_H77 zenon_Hc0 zenon_H29 zenon_H2a zenon_H2c zenon_H56 zenon_H20 zenon_Hc7 zenon_Hb3 zenon_H5d zenon_H49 zenon_H9e zenon_H67 zenon_H54 zenon_H86 zenon_H37 zenon_H40 zenon_H41. % 196.24/196.45 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H55 | zenon_intro zenon_Ha0 ]. % 196.24/196.45 apply (zenon_L67_); trivial. % 196.24/196.45 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_H61 | zenon_intro zenon_Ha1 ]. % 196.24/196.45 apply (zenon_L23_); trivial. % 196.24/196.45 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H6c | zenon_intro zenon_H87 ]. % 196.24/196.45 apply (zenon_L70_); trivial. % 196.24/196.45 apply (zenon_L40_); trivial. % 196.24/196.45 (* end of lemma zenon_L71_ *) % 196.24/196.45 assert (zenon_L72_ : (~((op2 (e21) (e20)) = (op2 (e21) (unit2)))) -> ((unit2) = (e20)) -> False). % 196.24/196.45 do 0 intro. intros zenon_Hcd zenon_H1e. % 196.24/196.45 cut (((e20) = (unit2))); [idtac | apply NNPP; zenon_intro zenon_H1f]. % 196.24/196.45 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H74]. % 196.24/196.45 congruence. % 196.24/196.45 apply zenon_H74. apply refl_equal. % 196.24/196.45 apply zenon_H1f. apply sym_equal. exact zenon_H1e. % 196.24/196.45 (* end of lemma zenon_L72_ *) % 196.24/196.45 assert (zenon_L73_ : (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((op2 (e21) (unit2)) = (e21)) -> ((unit2) = (e20)) -> ((op2 (e21) (e22)) = (e21)) -> False). % 196.24/196.45 do 0 intro. intros zenon_Hce zenon_Hcf zenon_H1e zenon_Hd0. % 196.24/196.45 cut (((op2 (e21) (unit2)) = (e21)) = ((op2 (e21) (e20)) = (op2 (e21) (e22)))). % 196.24/196.45 intro zenon_D_pnotp. % 196.24/196.45 apply zenon_Hce. % 196.24/196.45 rewrite <- zenon_D_pnotp. % 196.24/196.45 exact zenon_Hcf. % 196.24/196.45 cut (((e21) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_Hd1]. % 196.24/196.45 cut (((op2 (e21) (unit2)) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_Hd2]. % 196.24/196.45 congruence. % 196.24/196.45 elim (classic ((op2 (e21) (e20)) = (op2 (e21) (e20)))); [ zenon_intro zenon_H2f | zenon_intro zenon_H30 ]. % 196.24/196.45 cut (((op2 (e21) (e20)) = (op2 (e21) (e20))) = ((op2 (e21) (unit2)) = (op2 (e21) (e20)))). % 196.24/196.45 intro zenon_D_pnotp. % 196.24/196.45 apply zenon_Hd2. % 196.24/196.45 rewrite <- zenon_D_pnotp. % 196.24/196.45 exact zenon_H2f. % 196.24/196.45 cut (((op2 (e21) (e20)) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H30]. % 196.24/196.45 cut (((op2 (e21) (e20)) = (op2 (e21) (unit2)))); [idtac | apply NNPP; zenon_intro zenon_Hcd]. % 196.24/196.45 congruence. % 196.24/196.45 apply (zenon_L72_); trivial. % 196.24/196.45 apply zenon_H30. apply refl_equal. % 196.24/196.45 apply zenon_H30. apply refl_equal. % 196.24/196.45 apply zenon_Hd1. apply sym_equal. exact zenon_Hd0. % 196.24/196.45 (* end of lemma zenon_L73_ *) % 196.24/196.45 assert (zenon_L74_ : (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> ((op2 (e21) (e22)) = (e21)) -> ((op2 (e21) (unit2)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e20)) = (e23)) -> ((op2 (e23) (unit2)) = (e23)) -> ((op2 (unit2) (e22)) = (e22)) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> False). % 196.24/196.45 do 0 intro. intros zenon_H49 zenon_Hd0 zenon_Hcf zenon_Hce zenon_H56 zenon_H5d zenon_H55 zenon_H54 zenon_H37 zenon_H40 zenon_H41. % 196.24/196.45 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H1e | zenon_intro zenon_H4a ]. % 196.24/196.45 apply (zenon_L73_); trivial. % 196.24/196.45 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2b | zenon_intro zenon_H4b ]. % 196.24/196.45 apply (zenon_L14_); trivial. % 196.24/196.45 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H3f ]. % 196.24/196.45 apply (zenon_L16_); trivial. % 196.24/196.45 apply (zenon_L9_); trivial. % 196.24/196.45 (* end of lemma zenon_L74_ *) % 196.24/196.45 assert (zenon_L75_ : (~((op2 (e21) (e21)) = (op2 (unit2) (e21)))) -> ((unit2) = (e21)) -> False). % 196.24/196.45 do 0 intro. intros zenon_Hd3 zenon_H2b. % 196.24/196.45 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H74]. % 196.24/196.45 cut (((e21) = (unit2))); [idtac | apply NNPP; zenon_intro zenon_H32]. % 196.24/196.45 congruence. % 196.24/196.45 apply zenon_H32. apply sym_equal. exact zenon_H2b. % 196.24/196.45 apply zenon_H74. apply refl_equal. % 196.24/196.45 (* end of lemma zenon_L75_ *) % 196.24/196.45 assert (zenon_L76_ : (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> ((op2 (unit2) (e21)) = (e21)) -> ((unit2) = (e21)) -> ((op2 (e21) (e22)) = (e21)) -> False). % 196.24/196.45 do 0 intro. intros zenon_Hd4 zenon_H77 zenon_H2b zenon_Hd0. % 196.24/196.45 cut (((op2 (unit2) (e21)) = (e21)) = ((op2 (e21) (e21)) = (op2 (e21) (e22)))). % 196.24/196.45 intro zenon_D_pnotp. % 196.24/196.45 apply zenon_Hd4. % 196.24/196.45 rewrite <- zenon_D_pnotp. % 196.24/196.45 exact zenon_H77. % 196.24/196.45 cut (((e21) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_Hd1]. % 196.24/196.45 cut (((op2 (unit2) (e21)) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_Hd5]. % 196.24/196.45 congruence. % 196.24/196.45 elim (classic ((op2 (e21) (e21)) = (op2 (e21) (e21)))); [ zenon_intro zenon_Hd6 | zenon_intro zenon_Hd7 ]. % 196.24/196.45 cut (((op2 (e21) (e21)) = (op2 (e21) (e21))) = ((op2 (unit2) (e21)) = (op2 (e21) (e21)))). % 196.24/196.45 intro zenon_D_pnotp. % 196.24/196.45 apply zenon_Hd5. % 196.24/196.45 rewrite <- zenon_D_pnotp. % 196.24/196.45 exact zenon_Hd6. % 196.24/196.45 cut (((op2 (e21) (e21)) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_Hd7]. % 196.24/196.45 cut (((op2 (e21) (e21)) = (op2 (unit2) (e21)))); [idtac | apply NNPP; zenon_intro zenon_Hd3]. % 196.24/196.45 congruence. % 196.24/196.45 apply (zenon_L75_); trivial. % 196.24/196.45 apply zenon_Hd7. apply refl_equal. % 196.24/196.45 apply zenon_Hd7. apply refl_equal. % 196.24/196.45 apply zenon_Hd1. apply sym_equal. exact zenon_Hd0. % 196.24/196.45 (* end of lemma zenon_L76_ *) % 196.24/196.45 assert (zenon_L77_ : (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> ((op2 (e21) (unit2)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((op2 (e21) (e22)) = (e21)) -> ((op2 (unit2) (e21)) = (e21)) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (e22) (e20)) = (e22)) -> ((op2 (unit2) (e22)) = (e22)) -> ((op2 (unit2) (e23)) = (e23)) -> ((op2 (e23) (e21)) = (e23)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> False). % 196.24/196.45 do 0 intro. intros zenon_H49 zenon_Hcf zenon_Hce zenon_Hd0 zenon_H77 zenon_Hd4 zenon_H39 zenon_H38 zenon_H37 zenon_H20 zenon_H61 zenon_H67. % 196.24/196.45 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H1e | zenon_intro zenon_H4a ]. % 196.24/196.45 apply (zenon_L73_); trivial. % 196.24/196.45 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2b | zenon_intro zenon_H4b ]. % 196.24/196.45 apply (zenon_L76_); trivial. % 196.24/196.45 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H3f ]. % 196.24/196.45 apply (zenon_L8_); trivial. % 196.24/196.45 apply (zenon_L22_); trivial. % 196.24/196.45 (* end of lemma zenon_L77_ *) % 196.24/196.45 assert (zenon_L78_ : (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e22) (e20)) = (e22)) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> ((op2 (e21) (e22)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((op2 (e21) (unit2)) = (e21)) -> ((op2 (unit2) (e23)) = (e23)) -> ((op2 (unit2) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e21)) = (e21)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((op2 (unit2) (e22)) = (e22)) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> False). % 196.24/196.45 do 0 intro. intros zenon_H9f zenon_H56 zenon_H38 zenon_Hd4 zenon_Hd0 zenon_Hce zenon_Hcf zenon_H20 zenon_H2a zenon_H39 zenon_H77 zenon_H76 zenon_H5d zenon_H49 zenon_H9e zenon_H67 zenon_H54 zenon_H86 zenon_H37 zenon_H40 zenon_H41. % 196.24/196.45 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H55 | zenon_intro zenon_Ha0 ]. % 196.24/196.45 apply (zenon_L74_); trivial. % 196.24/196.45 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_H61 | zenon_intro zenon_Ha1 ]. % 196.24/196.45 apply (zenon_L77_); trivial. % 196.24/196.45 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H6c | zenon_intro zenon_H87 ]. % 196.24/196.45 apply (zenon_L37_); trivial. % 196.24/196.45 apply (zenon_L40_); trivial. % 196.24/196.45 (* end of lemma zenon_L78_ *) % 196.24/196.45 assert (zenon_L79_ : (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> ((op2 (e21) (unit2)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((op2 (e21) (e22)) = (e21)) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> ((op2 (unit2) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e21)) = (e21)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((op2 (e22) (unit2)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (unit2) (e23)) = (e23)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((op2 (unit2) (e22)) = (e22)) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> False). % 196.24/196.45 do 0 intro. intros zenon_Hba zenon_Hcf zenon_Hce zenon_Hd0 zenon_Hd4 zenon_Ha3 zenon_H29 zenon_H2c zenon_Ha9 zenon_H2a zenon_H39 zenon_H77 zenon_H76 zenon_H4d zenon_Hb6 zenon_H9f zenon_H56 zenon_Hb3 zenon_Ha4 zenon_Haf zenon_H20 zenon_Hb5 zenon_H5d zenon_H49 zenon_H9e zenon_H67 zenon_H54 zenon_H86 zenon_H37 zenon_H40 zenon_H41. % 196.24/196.45 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H38 | zenon_intro zenon_Hbb ]. % 196.24/196.45 apply (zenon_L78_); trivial. % 196.24/196.45 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_Ha5 | zenon_intro zenon_Hbc ]. % 196.24/196.45 apply (zenon_L56_); trivial. % 196.24/196.45 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H85 | zenon_intro zenon_Hb0 ]. % 196.24/196.45 apply (zenon_L63_); trivial. % 196.24/196.45 apply (zenon_L55_); trivial. % 196.24/196.45 (* end of lemma zenon_L79_ *) % 196.24/196.45 assert (zenon_L80_ : (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e21) (unit2)) = (e21)) -> ((unit2) = (e20)) -> ((op2 (e22) (e20)) = (e21)) -> False). % 196.24/196.45 do 0 intro. intros zenon_Hd8 zenon_Hcf zenon_H1e zenon_Hd9. % 196.24/196.45 cut (((op2 (e21) (unit2)) = (e21)) = ((op2 (e21) (e20)) = (op2 (e22) (e20)))). % 196.24/196.45 intro zenon_D_pnotp. % 196.24/196.45 apply zenon_Hd8. % 196.24/196.45 rewrite <- zenon_D_pnotp. % 196.24/196.45 exact zenon_Hcf. % 196.24/196.45 cut (((e21) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_Hda]. % 196.24/196.45 cut (((op2 (e21) (unit2)) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_Hd2]. % 196.24/196.45 congruence. % 196.24/196.45 elim (classic ((op2 (e21) (e20)) = (op2 (e21) (e20)))); [ zenon_intro zenon_H2f | zenon_intro zenon_H30 ]. % 196.24/196.45 cut (((op2 (e21) (e20)) = (op2 (e21) (e20))) = ((op2 (e21) (unit2)) = (op2 (e21) (e20)))). % 196.24/196.45 intro zenon_D_pnotp. % 196.24/196.45 apply zenon_Hd2. % 196.24/196.45 rewrite <- zenon_D_pnotp. % 196.24/196.45 exact zenon_H2f. % 196.24/196.45 cut (((op2 (e21) (e20)) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H30]. % 196.24/196.45 cut (((op2 (e21) (e20)) = (op2 (e21) (unit2)))); [idtac | apply NNPP; zenon_intro zenon_Hcd]. % 196.24/196.45 congruence. % 196.24/196.45 apply (zenon_L72_); trivial. % 196.24/196.45 apply zenon_H30. apply refl_equal. % 196.24/196.45 apply zenon_H30. apply refl_equal. % 196.24/196.45 apply zenon_Hda. apply sym_equal. exact zenon_Hd9. % 196.24/196.45 (* end of lemma zenon_L80_ *) % 196.24/196.45 assert (zenon_L81_ : (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> ((op2 (e22) (e20)) = (e21)) -> ((op2 (e21) (unit2)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((e20) = (op2 (e21) (e21))) -> ((op2 (unit2) (e20)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (e22) (e22)) = (e21)) -> ((op2 (unit2) (e21)) = (e21)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e22)) = (e22)) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> False). % 196.24/196.45 do 0 intro. intros zenon_H49 zenon_Hd9 zenon_Hcf zenon_Hd8 zenon_H2c zenon_H2a zenon_H29 zenon_H78 zenon_H77 zenon_H76 zenon_H37 zenon_H40 zenon_H41. % 196.24/196.45 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H1e | zenon_intro zenon_H4a ]. % 196.24/196.45 apply (zenon_L80_); trivial. % 196.24/196.45 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2b | zenon_intro zenon_H4b ]. % 196.24/196.45 apply (zenon_L5_); trivial. % 196.24/196.45 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H3f ]. % 196.24/196.45 apply (zenon_L30_); trivial. % 196.24/196.45 apply (zenon_L9_); trivial. % 196.24/196.45 (* end of lemma zenon_L81_ *) % 196.24/196.45 assert (zenon_L82_ : (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (unit2) (e21)) = (e21)) -> ((unit2) = (e23)) -> ((op2 (e23) (e22)) = (e21)) -> False). % 196.24/196.45 do 0 intro. intros zenon_H41 zenon_H77 zenon_H3f zenon_Hdb. % 196.24/196.45 cut (((op2 (unit2) (e21)) = (e21)) = ((op2 (e23) (e21)) = (op2 (e23) (e22)))). % 196.24/196.45 intro zenon_D_pnotp. % 196.24/196.45 apply zenon_H41. % 196.24/196.45 rewrite <- zenon_D_pnotp. % 196.24/196.45 exact zenon_H77. % 196.24/196.45 cut (((e21) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_Hdc]. % 196.24/196.45 cut (((op2 (unit2) (e21)) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_Hdd]. % 196.24/196.45 congruence. % 196.24/196.45 elim (classic ((op2 (e23) (e21)) = (op2 (e23) (e21)))); [ zenon_intro zenon_H57 | zenon_intro zenon_H58 ]. % 196.24/196.45 cut (((op2 (e23) (e21)) = (op2 (e23) (e21))) = ((op2 (unit2) (e21)) = (op2 (e23) (e21)))). % 196.24/196.45 intro zenon_D_pnotp. % 196.24/196.45 apply zenon_Hdd. % 196.24/196.45 rewrite <- zenon_D_pnotp. % 196.24/196.45 exact zenon_H57. % 196.24/196.45 cut (((op2 (e23) (e21)) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H58]. % 196.24/196.45 cut (((op2 (e23) (e21)) = (op2 (unit2) (e21)))); [idtac | apply NNPP; zenon_intro zenon_Hde]. % 196.24/196.45 congruence. % 196.24/196.45 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H74]. % 196.24/196.45 cut (((e23) = (unit2))); [idtac | apply NNPP; zenon_intro zenon_H48]. % 196.24/196.45 congruence. % 196.24/196.45 apply zenon_H48. apply sym_equal. exact zenon_H3f. % 196.24/196.45 apply zenon_H74. apply refl_equal. % 196.24/196.45 apply zenon_H58. apply refl_equal. % 196.24/196.45 apply zenon_H58. apply refl_equal. % 196.24/196.45 apply zenon_Hdc. apply sym_equal. exact zenon_Hdb. % 196.24/196.45 (* end of lemma zenon_L82_ *) % 196.24/196.45 assert (zenon_L83_ : (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> ((op2 (e22) (e20)) = (e21)) -> ((op2 (e21) (unit2)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e21) (e23)) = (e22)) -> ((op2 (unit2) (e22)) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((op2 (e22) (e21)) = (e23)) -> ((op2 (unit2) (e23)) = (e23)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (unit2) (e21)) = (e21)) -> ((op2 (e23) (e22)) = (e21)) -> False). % 196.24/196.45 do 0 intro. intros zenon_H49 zenon_Hd9 zenon_Hcf zenon_Hd8 zenon_Haa zenon_H37 zenon_Ha9 zenon_Hb3 zenon_Hc7 zenon_H20 zenon_H41 zenon_H77 zenon_Hdb. % 196.24/196.45 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H1e | zenon_intro zenon_H4a ]. % 196.24/196.45 apply (zenon_L80_); trivial. % 196.24/196.45 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2b | zenon_intro zenon_H4b ]. % 196.24/196.45 apply (zenon_L46_); trivial. % 196.24/196.45 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H3f ]. % 196.24/196.45 apply (zenon_L69_); trivial. % 196.24/196.45 apply (zenon_L82_); trivial. % 196.24/196.45 (* end of lemma zenon_L83_ *) % 196.24/196.45 assert (zenon_L84_ : (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e20)) = (e20)) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> ((op2 (unit2) (e21)) = (e21)) -> ((op2 (e22) (e21)) = (e23)) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e21) (unit2)) = (e21)) -> ((op2 (e22) (e20)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (unit2) (e22)) = (e22)) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((op2 (unit2) (e23)) = (e23)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e22) (unit2)) = (e22)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> False). % 196.24/196.45 do 0 intro. intros zenon_Hdf zenon_Hc1 zenon_Ha3 zenon_Hd4 zenon_Hce zenon_Hba zenon_Hb6 zenon_H76 zenon_H39 zenon_H2a zenon_H2c zenon_H29 zenon_H4d zenon_H77 zenon_Hc7 zenon_Ha9 zenon_Hd8 zenon_Hcf zenon_Hd9 zenon_H41 zenon_H37 zenon_H86 zenon_H54 zenon_H9e zenon_H49 zenon_H5d zenon_Hb5 zenon_H20 zenon_Haf zenon_Ha4 zenon_Hb3 zenon_H56 zenon_H9f zenon_H40 zenon_H67. % 196.24/196.45 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_Hc0 | zenon_intro zenon_He0 ]. % 196.24/196.45 apply (zenon_L71_); trivial. % 196.24/196.45 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hd0 | zenon_intro zenon_He1 ]. % 196.24/196.45 apply (zenon_L79_); trivial. % 196.24/196.45 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_H78 | zenon_intro zenon_Hdb ]. % 196.24/196.45 apply (zenon_L81_); trivial. % 196.24/196.45 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_H4e | zenon_intro zenon_Hb7 ]. % 196.24/196.45 apply (zenon_L41_); trivial. % 196.24/196.45 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_Haa | zenon_intro zenon_Hb8 ]. % 196.24/196.45 apply (zenon_L83_); trivial. % 196.24/196.45 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H7d ]. % 196.24/196.45 apply (zenon_L55_); trivial. % 196.24/196.45 apply (zenon_L31_); trivial. % 196.24/196.45 (* end of lemma zenon_L84_ *) % 196.24/196.45 assert (zenon_L85_ : (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e22) (e22)) = (e21)) -> ((op2 (unit2) (e21)) = (e21)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e23)) = (e23)) -> ((op2 (e23) (e22)) = (e23)) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> False). % 196.24/196.45 do 0 intro. intros zenon_H49 zenon_H5d zenon_H54 zenon_H41 zenon_H78 zenon_H77 zenon_H76 zenon_H20 zenon_H6c zenon_H86. % 196.24/196.45 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H1e | zenon_intro zenon_H4a ]. % 196.24/196.45 apply (zenon_L24_); trivial. % 196.24/196.45 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2b | zenon_intro zenon_H4b ]. % 196.24/196.45 apply (zenon_L25_); trivial. % 196.24/196.45 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H3f ]. % 196.24/196.45 apply (zenon_L30_); trivial. % 196.24/196.45 apply (zenon_L36_); trivial. % 196.24/196.45 (* end of lemma zenon_L85_ *) % 196.24/196.45 assert (zenon_L86_ : (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> ((op2 (e20) (e23)) = (e22)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (unit2) (e20)) = (e20)) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (unit2) (e23)) = (e23)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e21)) = (e21)) -> ((op2 (e22) (e22)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((op2 (unit2) (e22)) = (e22)) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> False). % 196.24/196.45 do 0 intro. intros zenon_H9f zenon_H4d zenon_H4e zenon_H29 zenon_H2a zenon_H2c zenon_H56 zenon_H20 zenon_H76 zenon_H77 zenon_H78 zenon_H5d zenon_H49 zenon_H9e zenon_H67 zenon_H54 zenon_H86 zenon_H37 zenon_H40 zenon_H41. % 196.24/196.45 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H55 | zenon_intro zenon_Ha0 ]. % 196.24/196.45 apply (zenon_L17_); trivial. % 196.24/196.45 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_H61 | zenon_intro zenon_Ha1 ]. % 196.24/196.45 apply (zenon_L23_); trivial. % 196.24/196.45 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H6c | zenon_intro zenon_H87 ]. % 196.24/196.45 apply (zenon_L85_); trivial. % 196.24/196.45 apply (zenon_L40_); trivial. % 196.24/196.45 (* end of lemma zenon_L86_ *) % 196.24/196.45 assert (zenon_L87_ : ((e20) = (op2 (e21) (e21))) -> ((op2 (e20) (e20)) = (e20)) -> (~((op2 (e21) (e21)) = (op2 (e20) (e20)))) -> False). % 196.24/196.45 do 0 intro. intros zenon_H2c zenon_H92 zenon_He2. % 196.24/196.45 elim (classic ((op2 (e20) (e20)) = (op2 (e20) (e20)))); [ zenon_intro zenon_He3 | zenon_intro zenon_He4 ]. % 196.24/196.45 cut (((op2 (e20) (e20)) = (op2 (e20) (e20))) = ((op2 (e21) (e21)) = (op2 (e20) (e20)))). % 196.24/196.45 intro zenon_D_pnotp. % 196.24/196.45 apply zenon_He2. % 196.24/196.45 rewrite <- zenon_D_pnotp. % 196.24/196.45 exact zenon_He3. % 196.24/196.45 cut (((op2 (e20) (e20)) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_He4]. % 196.24/196.45 cut (((op2 (e20) (e20)) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_He5]. % 196.24/196.45 congruence. % 196.24/196.45 cut (((e20) = (op2 (e21) (e21))) = ((op2 (e20) (e20)) = (op2 (e21) (e21)))). % 196.24/196.45 intro zenon_D_pnotp. % 196.24/196.45 apply zenon_He5. % 196.24/196.45 rewrite <- zenon_D_pnotp. % 196.24/196.45 exact zenon_H2c. % 196.24/196.45 cut (((op2 (e21) (e21)) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_Hd7]. % 196.24/196.45 cut (((e20) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_He6]. % 196.24/196.45 congruence. % 196.24/196.45 elim (classic ((op2 (e20) (e20)) = (op2 (e20) (e20)))); [ zenon_intro zenon_He3 | zenon_intro zenon_He4 ]. % 196.24/196.45 cut (((op2 (e20) (e20)) = (op2 (e20) (e20))) = ((e20) = (op2 (e20) (e20)))). % 196.24/196.45 intro zenon_D_pnotp. % 196.24/196.45 apply zenon_He6. % 196.24/196.45 rewrite <- zenon_D_pnotp. % 196.24/196.45 exact zenon_He3. % 196.24/196.45 cut (((op2 (e20) (e20)) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_He4]. % 196.24/196.45 cut (((op2 (e20) (e20)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_He7]. % 196.24/196.45 congruence. % 196.24/196.45 exact (zenon_He7 zenon_H92). % 196.24/196.45 apply zenon_He4. apply refl_equal. % 196.24/196.45 apply zenon_He4. apply refl_equal. % 196.24/196.45 apply zenon_Hd7. apply refl_equal. % 196.24/196.45 apply zenon_He4. apply refl_equal. % 196.24/196.45 apply zenon_He4. apply refl_equal. % 196.24/196.45 (* end of lemma zenon_L87_ *) % 196.24/196.45 assert (zenon_L88_ : (~((op2 (e21) (e21)) = (op2 (e22) (e22)))) -> ((op2 (e20) (e20)) = (e20)) -> ((e20) = (op2 (e21) (e21))) -> ((op2 (e22) (e22)) = (e20)) -> False). % 196.24/196.45 do 0 intro. intros zenon_He8 zenon_H92 zenon_H2c zenon_H6f. % 196.24/196.45 cut (((op2 (e20) (e20)) = (e20)) = ((op2 (e21) (e21)) = (op2 (e22) (e22)))). % 196.24/196.45 intro zenon_D_pnotp. % 196.24/196.45 apply zenon_He8. % 196.24/196.45 rewrite <- zenon_D_pnotp. % 196.24/196.45 exact zenon_H92. % 196.24/196.45 cut (((e20) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H70]. % 196.24/196.45 cut (((op2 (e20) (e20)) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_He5]. % 196.24/196.45 congruence. % 196.24/196.45 elim (classic ((op2 (e21) (e21)) = (op2 (e21) (e21)))); [ zenon_intro zenon_Hd6 | zenon_intro zenon_Hd7 ]. % 196.24/196.45 cut (((op2 (e21) (e21)) = (op2 (e21) (e21))) = ((op2 (e20) (e20)) = (op2 (e21) (e21)))). % 196.24/196.45 intro zenon_D_pnotp. % 196.24/196.45 apply zenon_He5. % 196.24/196.45 rewrite <- zenon_D_pnotp. % 196.24/196.45 exact zenon_Hd6. % 196.24/196.45 cut (((op2 (e21) (e21)) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_Hd7]. % 196.24/196.45 cut (((op2 (e21) (e21)) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_He2]. % 196.24/196.45 congruence. % 196.24/196.45 apply (zenon_L87_); trivial. % 196.24/196.45 apply zenon_Hd7. apply refl_equal. % 196.24/196.45 apply zenon_Hd7. apply refl_equal. % 196.24/196.45 apply zenon_H70. apply sym_equal. exact zenon_H6f. % 196.24/196.45 (* end of lemma zenon_L88_ *) % 196.24/196.45 assert (zenon_L89_ : ((op2 (e23) (e22)) = (e20)) -> ((op2 (e22) (e22)) = (e20)) -> ((op2 (e20) (e20)) = (e20)) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> False). % 196.24/196.45 do 0 intro. intros zenon_He9 zenon_H6f zenon_H92 zenon_H2c zenon_Hea. % 196.24/196.45 elim (classic ((op2 (e23) (e22)) = (op2 (e23) (e22)))); [ zenon_intro zenon_H42 | zenon_intro zenon_H43 ]. % 196.24/196.45 cut (((op2 (e23) (e22)) = (op2 (e23) (e22))) = ((op2 (e22) (e22)) = (op2 (e23) (e22)))). % 196.24/196.45 intro zenon_D_pnotp. % 196.24/196.45 apply zenon_Hea. % 196.24/196.45 rewrite <- zenon_D_pnotp. % 196.24/196.45 exact zenon_H42. % 196.24/196.45 cut (((op2 (e23) (e22)) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H43]. % 196.24/196.45 cut (((op2 (e23) (e22)) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_Heb]. % 196.24/196.45 congruence. % 196.24/196.45 cut (((e20) = (op2 (e21) (e21))) = ((op2 (e23) (e22)) = (op2 (e22) (e22)))). % 196.24/196.45 intro zenon_D_pnotp. % 196.24/196.45 apply zenon_Heb. % 196.24/196.45 rewrite <- zenon_D_pnotp. % 196.24/196.45 exact zenon_H2c. % 196.24/196.45 cut (((op2 (e21) (e21)) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_He8]. % 196.24/196.45 cut (((e20) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_Hec]. % 196.24/196.45 congruence. % 196.24/196.45 elim (classic ((op2 (e23) (e22)) = (op2 (e23) (e22)))); [ zenon_intro zenon_H42 | zenon_intro zenon_H43 ]. % 196.24/196.45 cut (((op2 (e23) (e22)) = (op2 (e23) (e22))) = ((e20) = (op2 (e23) (e22)))). % 196.24/196.45 intro zenon_D_pnotp. % 196.24/196.45 apply zenon_Hec. % 196.24/196.45 rewrite <- zenon_D_pnotp. % 196.24/196.45 exact zenon_H42. % 196.24/196.45 cut (((op2 (e23) (e22)) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H43]. % 196.24/196.45 cut (((op2 (e23) (e22)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_Hed]. % 196.24/196.45 congruence. % 196.24/196.45 exact (zenon_Hed zenon_He9). % 196.24/196.45 apply zenon_H43. apply refl_equal. % 196.24/196.45 apply zenon_H43. apply refl_equal. % 196.24/196.45 apply (zenon_L88_); trivial. % 196.24/196.45 apply zenon_H43. apply refl_equal. % 196.24/196.45 apply zenon_H43. apply refl_equal. % 196.24/196.45 (* end of lemma zenon_L89_ *) % 196.24/196.45 assert (zenon_L90_ : (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (e21) (unit2)) = (e21)) -> ((unit2) = (e20)) -> ((op2 (e21) (e21)) = (e21)) -> False). % 196.24/196.45 do 0 intro. intros zenon_H29 zenon_Hcf zenon_H1e zenon_H9b. % 196.24/196.45 cut (((op2 (e21) (unit2)) = (e21)) = ((op2 (e21) (e20)) = (op2 (e21) (e21)))). % 196.24/196.45 intro zenon_D_pnotp. % 196.24/196.45 apply zenon_H29. % 196.24/196.45 rewrite <- zenon_D_pnotp. % 196.24/196.45 exact zenon_Hcf. % 196.24/196.45 cut (((e21) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_Hee]. % 196.24/196.45 cut (((op2 (e21) (unit2)) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_Hd2]. % 196.24/196.45 congruence. % 196.24/196.45 elim (classic ((op2 (e21) (e20)) = (op2 (e21) (e20)))); [ zenon_intro zenon_H2f | zenon_intro zenon_H30 ]. % 196.24/196.45 cut (((op2 (e21) (e20)) = (op2 (e21) (e20))) = ((op2 (e21) (unit2)) = (op2 (e21) (e20)))). % 196.24/196.45 intro zenon_D_pnotp. % 196.24/196.45 apply zenon_Hd2. % 196.24/196.45 rewrite <- zenon_D_pnotp. % 196.24/196.45 exact zenon_H2f. % 196.24/196.45 cut (((op2 (e21) (e20)) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H30]. % 196.24/196.45 cut (((op2 (e21) (e20)) = (op2 (e21) (unit2)))); [idtac | apply NNPP; zenon_intro zenon_Hcd]. % 196.24/196.45 congruence. % 196.24/196.45 apply (zenon_L72_); trivial. % 196.24/196.45 apply zenon_H30. apply refl_equal. % 196.24/196.45 apply zenon_H30. apply refl_equal. % 196.24/196.45 apply zenon_Hee. apply sym_equal. exact zenon_H9b. % 196.24/196.45 (* end of lemma zenon_L90_ *) % 196.24/196.45 assert (zenon_L91_ : (((op2 (e20) (e20)) = (e21))/\(((op2 (e21) (e21)) = (e21))/\(((op2 (e22) (e22)) = (e21))/\((op2 (e23) (e23)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (e21) (unit2)) = (e21)) -> ((unit2) = (e20)) -> False). % 196.24/196.45 do 0 intro. intros zenon_H97 zenon_H29 zenon_Hcf zenon_H1e. % 196.24/196.45 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H99. zenon_intro zenon_H98. % 196.24/196.45 apply (zenon_and_s _ _ zenon_H98). zenon_intro zenon_H9b. zenon_intro zenon_H9a. % 196.24/196.45 apply (zenon_L90_); trivial. % 196.24/196.45 (* end of lemma zenon_L91_ *) % 196.24/196.45 assert (zenon_L92_ : (((op2 (e20) (e20)) = (e23))/\(((op2 (e21) (e21)) = (e23))/\(((op2 (e22) (e22)) = (e23))/\((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (e23) (unit2)) = (e23)) -> ((unit2) = (e20)) -> False). % 196.24/196.45 do 0 intro. intros zenon_H89 zenon_H9e zenon_H54 zenon_H1e. % 196.24/196.45 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H8b. zenon_intro zenon_H8a. % 196.24/196.45 apply (zenon_and_s _ _ zenon_H8a). zenon_intro zenon_H8d. zenon_intro zenon_H8c. % 196.24/196.45 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H8e. zenon_intro zenon_H87. % 196.24/196.45 apply (zenon_L38_); trivial. % 196.24/196.45 (* end of lemma zenon_L92_ *) % 196.24/196.45 assert (zenon_L93_ : (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((e20) = (op2 (e21) (e21))) -> ((op2 (e23) (e22)) = (e20)) -> ((op2 (e21) (unit2)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (e23) (unit2)) = (e23)) -> ((unit2) = (e20)) -> False). % 196.24/196.45 do 0 intro. intros zenon_Hea zenon_H2c zenon_He9 zenon_Hcf zenon_H29 zenon_H67 zenon_H40 zenon_H9e zenon_H54 zenon_H1e. % 196.24/196.45 apply (zenon_or_s _ _ ax13); [ zenon_intro zenon_H90 | zenon_intro zenon_H8f ]. % 196.24/196.45 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H92. zenon_intro zenon_H91. % 196.24/196.45 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H94. zenon_intro zenon_H93. % 196.24/196.45 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_H6f. zenon_intro zenon_H95. % 196.24/196.45 apply (zenon_L89_); trivial. % 196.24/196.45 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H97 | zenon_intro zenon_H96 ]. % 196.24/196.45 apply (zenon_L91_); trivial. % 196.24/196.45 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H80 | zenon_intro zenon_H89 ]. % 196.24/196.45 apply (zenon_L32_); trivial. % 196.24/196.45 apply (zenon_L92_); trivial. % 196.24/196.45 (* end of lemma zenon_L93_ *) % 196.24/196.45 assert (zenon_L94_ : (~((h8 (e10)) = (e20))) -> ((h8 (e10)) = (op2 (e22) (e22))) -> ((op2 (e22) (e22)) = (e20)) -> False). % 196.24/196.45 do 0 intro. intros zenon_Hef zenon_Hf0 zenon_H6f. % 196.24/196.45 cut (((h8 (e10)) = (op2 (e22) (e22))) = ((h8 (e10)) = (e20))). % 196.24/196.45 intro zenon_D_pnotp. % 196.24/196.45 apply zenon_Hef. % 196.24/196.45 rewrite <- zenon_D_pnotp. % 196.24/196.45 exact zenon_Hf0. % 196.24/196.45 cut (((op2 (e22) (e22)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_Hf1]. % 196.24/196.45 cut (((h8 (e10)) = (h8 (e10)))); [idtac | apply NNPP; zenon_intro zenon_Hf2]. % 196.24/196.45 congruence. % 196.24/196.45 apply zenon_Hf2. apply refl_equal. % 196.24/196.45 exact (zenon_Hf1 zenon_H6f). % 196.24/196.45 (* end of lemma zenon_L94_ *) % 196.24/196.45 assert (zenon_L95_ : (~((h8 (op1 (e10) (e10))) = (op2 (h8 (e10)) (h8 (e10))))) -> ((op1 (e10) (e10)) = (e10)) -> ((op2 (e20) (e20)) = (e20)) -> ((h8 (e10)) = (op2 (e22) (e22))) -> ((op2 (e22) (e22)) = (e20)) -> False). % 196.24/196.45 do 0 intro. intros zenon_Hf3 zenon_Hf4 zenon_H92 zenon_Hf0 zenon_H6f. % 196.24/196.45 cut (((h8 (e10)) = (op2 (e22) (e22))) = ((h8 (op1 (e10) (e10))) = (op2 (h8 (e10)) (h8 (e10))))). % 196.24/196.45 intro zenon_D_pnotp. % 196.24/196.45 apply zenon_Hf3. % 196.24/196.45 rewrite <- zenon_D_pnotp. % 196.24/196.45 exact zenon_Hf0. % 196.24/196.45 cut (((op2 (e22) (e22)) = (op2 (h8 (e10)) (h8 (e10))))); [idtac | apply NNPP; zenon_intro zenon_Hf5]. % 196.24/196.45 cut (((h8 (e10)) = (h8 (op1 (e10) (e10))))); [idtac | apply NNPP; zenon_intro zenon_Hf6]. % 196.24/196.45 congruence. % 196.24/196.45 elim (classic ((h8 (op1 (e10) (e10))) = (h8 (op1 (e10) (e10))))); [ zenon_intro zenon_Hf7 | zenon_intro zenon_Hf8 ]. % 196.24/196.45 cut (((h8 (op1 (e10) (e10))) = (h8 (op1 (e10) (e10)))) = ((h8 (e10)) = (h8 (op1 (e10) (e10))))). % 196.24/196.45 intro zenon_D_pnotp. % 196.24/196.45 apply zenon_Hf6. % 196.24/196.45 rewrite <- zenon_D_pnotp. % 196.24/196.45 exact zenon_Hf7. % 196.24/196.45 cut (((h8 (op1 (e10) (e10))) = (h8 (op1 (e10) (e10))))); [idtac | apply NNPP; zenon_intro zenon_Hf8]. % 196.24/196.45 cut (((h8 (op1 (e10) (e10))) = (h8 (e10)))); [idtac | apply NNPP; zenon_intro zenon_Hf9]. % 196.24/196.45 congruence. % 196.24/196.45 cut (((op1 (e10) (e10)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_Hfa]. % 196.24/196.45 congruence. % 196.24/196.45 exact (zenon_Hfa zenon_Hf4). % 196.24/196.45 apply zenon_Hf8. apply refl_equal. % 196.24/196.45 apply zenon_Hf8. apply refl_equal. % 196.24/196.45 elim (classic ((op2 (h8 (e10)) (h8 (e10))) = (op2 (h8 (e10)) (h8 (e10))))); [ zenon_intro zenon_Hfb | zenon_intro zenon_Hfc ]. % 196.24/196.45 cut (((op2 (h8 (e10)) (h8 (e10))) = (op2 (h8 (e10)) (h8 (e10)))) = ((op2 (e22) (e22)) = (op2 (h8 (e10)) (h8 (e10))))). % 196.24/196.45 intro zenon_D_pnotp. % 196.24/196.45 apply zenon_Hf5. % 196.24/196.45 rewrite <- zenon_D_pnotp. % 196.24/196.45 exact zenon_Hfb. % 196.24/196.45 cut (((op2 (h8 (e10)) (h8 (e10))) = (op2 (h8 (e10)) (h8 (e10))))); [idtac | apply NNPP; zenon_intro zenon_Hfc]. % 196.24/196.45 cut (((op2 (h8 (e10)) (h8 (e10))) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_Hfd]. % 196.24/196.45 congruence. % 196.24/196.45 cut (((op2 (e20) (e20)) = (e20)) = ((op2 (h8 (e10)) (h8 (e10))) = (op2 (e22) (e22)))). % 196.24/196.45 intro zenon_D_pnotp. % 196.24/196.45 apply zenon_Hfd. % 196.24/196.45 rewrite <- zenon_D_pnotp. % 196.24/196.45 exact zenon_H92. % 196.24/196.45 cut (((e20) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H70]. % 196.24/196.45 cut (((op2 (e20) (e20)) = (op2 (h8 (e10)) (h8 (e10))))); [idtac | apply NNPP; zenon_intro zenon_Hfe]. % 196.24/196.45 congruence. % 196.24/196.45 elim (classic ((op2 (h8 (e10)) (h8 (e10))) = (op2 (h8 (e10)) (h8 (e10))))); [ zenon_intro zenon_Hfb | zenon_intro zenon_Hfc ]. % 196.24/196.45 cut (((op2 (h8 (e10)) (h8 (e10))) = (op2 (h8 (e10)) (h8 (e10)))) = ((op2 (e20) (e20)) = (op2 (h8 (e10)) (h8 (e10))))). % 196.24/196.45 intro zenon_D_pnotp. % 196.24/196.45 apply zenon_Hfe. % 196.24/196.45 rewrite <- zenon_D_pnotp. % 196.24/196.45 exact zenon_Hfb. % 196.24/196.45 cut (((op2 (h8 (e10)) (h8 (e10))) = (op2 (h8 (e10)) (h8 (e10))))); [idtac | apply NNPP; zenon_intro zenon_Hfc]. % 196.24/196.45 cut (((op2 (h8 (e10)) (h8 (e10))) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_Hff]. % 196.24/196.45 congruence. % 196.24/196.45 cut (((h8 (e10)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_Hef]. % 196.24/196.45 cut (((h8 (e10)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_Hef]. % 196.24/196.45 congruence. % 196.24/196.45 apply (zenon_L94_); trivial. % 196.24/196.45 apply (zenon_L94_); trivial. % 196.24/196.45 apply zenon_Hfc. apply refl_equal. % 196.24/196.45 apply zenon_Hfc. apply refl_equal. % 196.24/196.45 apply zenon_H70. apply sym_equal. exact zenon_H6f. % 196.24/196.45 apply zenon_Hfc. apply refl_equal. % 196.24/196.45 apply zenon_Hfc. apply refl_equal. % 196.24/196.45 (* end of lemma zenon_L95_ *) % 196.24/196.45 assert (zenon_L96_ : (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> ((op2 (e21) (e21)) = (e21)) -> ((op2 (e21) (unit2)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e20)) = (e23)) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (unit2) (e21)) = (e21)) -> ((op2 (e23) (e22)) = (e21)) -> False). % 196.24/196.45 do 0 intro. intros zenon_H49 zenon_H9b zenon_Hcf zenon_H29 zenon_H56 zenon_H5d zenon_H55 zenon_H54 zenon_H41 zenon_H77 zenon_Hdb. % 196.24/196.45 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H1e | zenon_intro zenon_H4a ]. % 196.24/196.45 apply (zenon_L90_); trivial. % 196.24/196.45 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2b | zenon_intro zenon_H4b ]. % 196.24/196.45 apply (zenon_L14_); trivial. % 196.24/196.45 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H3f ]. % 196.24/196.45 apply (zenon_L16_); trivial. % 196.24/196.45 apply (zenon_L82_); trivial. % 196.24/196.45 (* end of lemma zenon_L96_ *) % 196.24/196.45 assert (zenon_L97_ : (((op2 (e20) (e20)) = (e21))/\(((op2 (e21) (e21)) = (e21))/\(((op2 (e22) (e22)) = (e21))/\((op2 (e23) (e23)) = (e21))))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> ((op2 (e21) (unit2)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e20)) = (e23)) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (unit2) (e21)) = (e21)) -> ((op2 (e23) (e22)) = (e21)) -> False). % 196.24/196.45 do 0 intro. intros zenon_H97 zenon_H49 zenon_Hcf zenon_H29 zenon_H56 zenon_H5d zenon_H55 zenon_H54 zenon_H41 zenon_H77 zenon_Hdb. % 196.24/196.45 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_H99. zenon_intro zenon_H98. % 196.24/196.45 apply (zenon_and_s _ _ zenon_H98). zenon_intro zenon_H9b. zenon_intro zenon_H9a. % 196.24/196.45 apply (zenon_L96_); trivial. % 196.24/196.45 (* end of lemma zenon_L97_ *) % 196.24/196.45 assert (zenon_L98_ : (((op2 (e20) (e20)) = (e22))/\(((op2 (e21) (e21)) = (e22))/\(((op2 (e22) (e22)) = (e22))/\((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (e22) (unit2)) = (e22)) -> ((unit2) = (e20)) -> False). % 196.24/196.45 do 0 intro. intros zenon_H80 zenon_H39 zenon_Ha4 zenon_H1e. % 196.24/196.45 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_H82. zenon_intro zenon_H81. % 196.24/196.45 apply (zenon_and_s _ _ zenon_H81). zenon_intro zenon_H84. zenon_intro zenon_H83. % 196.24/196.45 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H85. zenon_intro zenon_H7d. % 196.24/196.45 apply (zenon_L57_); trivial. % 196.24/196.45 (* end of lemma zenon_L98_ *) % 196.24/196.45 assert (zenon_L99_ : (~((e12) = (e12))) -> False). % 196.24/196.45 do 0 intro. intros zenon_H100. % 196.24/196.45 apply zenon_H100. apply refl_equal. % 196.24/196.45 (* end of lemma zenon_L99_ *) % 196.24/196.45 assert (zenon_L100_ : (~((op1 (e10) (e12)) = (op1 (unit1) (e12)))) -> ((unit1) = (e10)) -> False). % 196.24/196.45 do 0 intro. intros zenon_H101 zenon_H102. % 196.24/196.45 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H100]. % 196.24/196.45 cut (((e10) = (unit1))); [idtac | apply NNPP; zenon_intro zenon_H103]. % 196.24/196.45 congruence. % 196.24/196.45 apply zenon_H103. apply sym_equal. exact zenon_H102. % 196.24/196.45 apply zenon_H100. apply refl_equal. % 196.24/196.45 (* end of lemma zenon_L100_ *) % 196.24/196.45 assert (zenon_L101_ : (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> ((op1 (unit1) (e12)) = (e12)) -> ((unit1) = (e10)) -> ((op1 (e10) (e13)) = (e12)) -> False). % 196.24/196.45 do 0 intro. intros zenon_H104 zenon_H105 zenon_H102 zenon_H106. % 196.24/196.45 cut (((op1 (unit1) (e12)) = (e12)) = ((op1 (e10) (e12)) = (op1 (e10) (e13)))). % 196.24/196.45 intro zenon_D_pnotp. % 196.24/196.45 apply zenon_H104. % 196.24/196.45 rewrite <- zenon_D_pnotp. % 196.24/196.45 exact zenon_H105. % 196.24/196.45 cut (((e12) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H107]. % 196.24/196.45 cut (((op1 (unit1) (e12)) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H108]. % 196.24/196.45 congruence. % 196.24/196.45 elim (classic ((op1 (e10) (e12)) = (op1 (e10) (e12)))); [ zenon_intro zenon_H109 | zenon_intro zenon_H10a ]. % 196.24/196.45 cut (((op1 (e10) (e12)) = (op1 (e10) (e12))) = ((op1 (unit1) (e12)) = (op1 (e10) (e12)))). % 196.24/196.45 intro zenon_D_pnotp. % 196.24/196.45 apply zenon_H108. % 196.24/196.45 rewrite <- zenon_D_pnotp. % 196.24/196.45 exact zenon_H109. % 196.24/196.45 cut (((op1 (e10) (e12)) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H10a]. % 196.24/196.45 cut (((op1 (e10) (e12)) = (op1 (unit1) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H101]. % 196.24/196.45 congruence. % 196.24/196.45 apply (zenon_L100_); trivial. % 196.24/196.45 apply zenon_H10a. apply refl_equal. % 196.24/196.45 apply zenon_H10a. apply refl_equal. % 196.24/196.45 apply zenon_H107. apply sym_equal. exact zenon_H106. % 196.24/196.45 (* end of lemma zenon_L101_ *) % 196.24/196.45 assert (zenon_L102_ : (~((e13) = (e13))) -> False). % 196.24/196.45 do 0 intro. intros zenon_H10b. % 196.24/196.45 apply zenon_H10b. apply refl_equal. % 196.24/196.45 (* end of lemma zenon_L102_ *) % 196.24/196.45 assert (zenon_L103_ : (~((op1 (e13) (e11)) = (op1 (e13) (unit1)))) -> ((unit1) = (e11)) -> False). % 196.24/196.45 do 0 intro. intros zenon_H10c zenon_H10d. % 196.24/196.45 cut (((e11) = (unit1))); [idtac | apply NNPP; zenon_intro zenon_H10e]. % 196.24/196.45 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H10b]. % 196.24/196.45 congruence. % 196.24/196.45 apply zenon_H10b. apply refl_equal. % 196.24/196.45 apply zenon_H10e. apply sym_equal. exact zenon_H10d. % 196.24/196.45 (* end of lemma zenon_L103_ *) % 196.24/196.45 assert (zenon_L104_ : ((op1 (e13) (unit1)) = (e13)) -> ((unit1) = (e11)) -> ((op1 (e13) (e10)) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> False). % 196.24/196.45 do 0 intro. intros zenon_H10f zenon_H10d zenon_H110 zenon_H111. % 196.24/196.46 elim (classic ((op1 (e13) (e11)) = (op1 (e13) (e11)))); [ zenon_intro zenon_H112 | zenon_intro zenon_H113 ]. % 196.24/196.46 cut (((op1 (e13) (e11)) = (op1 (e13) (e11))) = ((op1 (e13) (e10)) = (op1 (e13) (e11)))). % 196.24/196.46 intro zenon_D_pnotp. % 196.24/196.46 apply zenon_H111. % 196.24/196.46 rewrite <- zenon_D_pnotp. % 196.24/196.46 exact zenon_H112. % 196.24/196.46 cut (((op1 (e13) (e11)) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H113]. % 196.24/196.46 cut (((op1 (e13) (e11)) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H114]. % 196.24/196.46 congruence. % 196.24/196.46 cut (((op1 (e13) (unit1)) = (e13)) = ((op1 (e13) (e11)) = (op1 (e13) (e10)))). % 196.24/196.46 intro zenon_D_pnotp. % 196.24/196.46 apply zenon_H114. % 196.24/196.46 rewrite <- zenon_D_pnotp. % 196.24/196.46 exact zenon_H10f. % 196.24/196.46 cut (((e13) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H115]. % 196.24/196.46 cut (((op1 (e13) (unit1)) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H116]. % 196.24/196.46 congruence. % 196.24/196.46 elim (classic ((op1 (e13) (e11)) = (op1 (e13) (e11)))); [ zenon_intro zenon_H112 | zenon_intro zenon_H113 ]. % 196.24/196.46 cut (((op1 (e13) (e11)) = (op1 (e13) (e11))) = ((op1 (e13) (unit1)) = (op1 (e13) (e11)))). % 196.24/196.46 intro zenon_D_pnotp. % 196.24/196.46 apply zenon_H116. % 196.24/196.46 rewrite <- zenon_D_pnotp. % 196.24/196.46 exact zenon_H112. % 196.24/196.46 cut (((op1 (e13) (e11)) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H113]. % 196.24/196.46 cut (((op1 (e13) (e11)) = (op1 (e13) (unit1)))); [idtac | apply NNPP; zenon_intro zenon_H10c]. % 196.24/196.46 congruence. % 196.24/196.46 apply (zenon_L103_); trivial. % 196.24/196.46 apply zenon_H113. apply refl_equal. % 196.24/196.46 apply zenon_H113. apply refl_equal. % 196.24/196.46 apply zenon_H115. apply sym_equal. exact zenon_H110. % 196.24/196.46 apply zenon_H113. apply refl_equal. % 196.24/196.46 apply zenon_H113. apply refl_equal. % 196.24/196.46 (* end of lemma zenon_L104_ *) % 196.24/196.46 assert (zenon_L105_ : (~((op1 (e13) (e12)) = (op1 (e13) (unit1)))) -> ((unit1) = (e12)) -> False). % 196.24/196.46 do 0 intro. intros zenon_H117 zenon_H118. % 196.24/196.46 cut (((e12) = (unit1))); [idtac | apply NNPP; zenon_intro zenon_H119]. % 196.24/196.46 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H10b]. % 196.24/196.46 congruence. % 196.24/196.46 apply zenon_H10b. apply refl_equal. % 196.24/196.46 apply zenon_H119. apply sym_equal. exact zenon_H118. % 196.24/196.46 (* end of lemma zenon_L105_ *) % 196.24/196.46 assert (zenon_L106_ : ((op1 (e13) (unit1)) = (e13)) -> ((unit1) = (e12)) -> ((op1 (e13) (e10)) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> False). % 196.24/196.46 do 0 intro. intros zenon_H10f zenon_H118 zenon_H110 zenon_H11a. % 196.24/196.46 elim (classic ((op1 (e13) (e12)) = (op1 (e13) (e12)))); [ zenon_intro zenon_H11b | zenon_intro zenon_H11c ]. % 196.24/196.46 cut (((op1 (e13) (e12)) = (op1 (e13) (e12))) = ((op1 (e13) (e10)) = (op1 (e13) (e12)))). % 196.24/196.46 intro zenon_D_pnotp. % 196.24/196.46 apply zenon_H11a. % 196.24/196.46 rewrite <- zenon_D_pnotp. % 196.24/196.46 exact zenon_H11b. % 196.24/196.46 cut (((op1 (e13) (e12)) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H11c]. % 196.24/196.46 cut (((op1 (e13) (e12)) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H11d]. % 196.24/196.46 congruence. % 196.24/196.46 cut (((op1 (e13) (unit1)) = (e13)) = ((op1 (e13) (e12)) = (op1 (e13) (e10)))). % 196.24/196.46 intro zenon_D_pnotp. % 196.24/196.46 apply zenon_H11d. % 196.24/196.46 rewrite <- zenon_D_pnotp. % 196.24/196.46 exact zenon_H10f. % 196.24/196.46 cut (((e13) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H115]. % 196.24/196.46 cut (((op1 (e13) (unit1)) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H11e]. % 196.24/196.46 congruence. % 196.24/196.46 elim (classic ((op1 (e13) (e12)) = (op1 (e13) (e12)))); [ zenon_intro zenon_H11b | zenon_intro zenon_H11c ]. % 196.24/196.46 cut (((op1 (e13) (e12)) = (op1 (e13) (e12))) = ((op1 (e13) (unit1)) = (op1 (e13) (e12)))). % 196.24/196.46 intro zenon_D_pnotp. % 196.24/196.46 apply zenon_H11e. % 196.24/196.46 rewrite <- zenon_D_pnotp. % 196.24/196.46 exact zenon_H11b. % 196.24/196.46 cut (((op1 (e13) (e12)) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H11c]. % 196.24/196.46 cut (((op1 (e13) (e12)) = (op1 (e13) (unit1)))); [idtac | apply NNPP; zenon_intro zenon_H117]. % 196.24/196.46 congruence. % 196.24/196.46 apply (zenon_L105_); trivial. % 196.24/196.46 apply zenon_H11c. apply refl_equal. % 196.24/196.46 apply zenon_H11c. apply refl_equal. % 196.24/196.46 apply zenon_H115. apply sym_equal. exact zenon_H110. % 196.24/196.46 apply zenon_H11c. apply refl_equal. % 196.24/196.46 apply zenon_H11c. apply refl_equal. % 196.24/196.46 (* end of lemma zenon_L106_ *) % 196.24/196.46 assert (zenon_L107_ : ((op1 (unit1) (e12)) = (e12)) -> ((unit1) = (e13)) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> False). % 196.24/196.46 do 0 intro. intros zenon_H105 zenon_H11f zenon_H120 zenon_H121. % 196.24/196.46 elim (classic ((op1 (e13) (e12)) = (op1 (e13) (e12)))); [ zenon_intro zenon_H11b | zenon_intro zenon_H11c ]. % 196.24/196.46 cut (((op1 (e13) (e12)) = (op1 (e13) (e12))) = ((op1 (e13) (e11)) = (op1 (e13) (e12)))). % 196.24/196.46 intro zenon_D_pnotp. % 196.24/196.46 apply zenon_H121. % 196.24/196.46 rewrite <- zenon_D_pnotp. % 196.24/196.46 exact zenon_H11b. % 196.24/196.46 cut (((op1 (e13) (e12)) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H11c]. % 196.24/196.46 cut (((op1 (e13) (e12)) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H122]. % 196.24/196.46 congruence. % 196.24/196.46 cut (((op1 (unit1) (e12)) = (e12)) = ((op1 (e13) (e12)) = (op1 (e13) (e11)))). % 196.24/196.46 intro zenon_D_pnotp. % 196.24/196.46 apply zenon_H122. % 196.24/196.46 rewrite <- zenon_D_pnotp. % 196.24/196.46 exact zenon_H105. % 196.24/196.46 cut (((e12) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H123]. % 196.24/196.46 cut (((op1 (unit1) (e12)) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H124]. % 196.24/196.46 congruence. % 196.24/196.46 elim (classic ((op1 (e13) (e12)) = (op1 (e13) (e12)))); [ zenon_intro zenon_H11b | zenon_intro zenon_H11c ]. % 196.24/196.46 cut (((op1 (e13) (e12)) = (op1 (e13) (e12))) = ((op1 (unit1) (e12)) = (op1 (e13) (e12)))). % 196.24/196.46 intro zenon_D_pnotp. % 196.24/196.46 apply zenon_H124. % 196.24/196.46 rewrite <- zenon_D_pnotp. % 196.24/196.46 exact zenon_H11b. % 196.24/196.46 cut (((op1 (e13) (e12)) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H11c]. % 196.24/196.46 cut (((op1 (e13) (e12)) = (op1 (unit1) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H125]. % 196.24/196.46 congruence. % 196.24/196.46 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H100]. % 196.24/196.46 cut (((e13) = (unit1))); [idtac | apply NNPP; zenon_intro zenon_H126]. % 196.24/196.46 congruence. % 196.24/196.46 apply zenon_H126. apply sym_equal. exact zenon_H11f. % 196.24/196.46 apply zenon_H100. apply refl_equal. % 196.24/196.46 apply zenon_H11c. apply refl_equal. % 196.24/196.46 apply zenon_H11c. apply refl_equal. % 196.24/196.46 exact (zenon_H123 zenon_H120). % 196.24/196.46 apply zenon_H11c. apply refl_equal. % 196.24/196.46 apply zenon_H11c. apply refl_equal. % 196.24/196.46 (* end of lemma zenon_L107_ *) % 196.24/196.46 assert (zenon_L108_ : (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e10)) = (e13)) -> ((op1 (e13) (unit1)) = (e13)) -> ((op1 (unit1) (e12)) = (e12)) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> False). % 196.24/196.46 do 0 intro. intros zenon_H127 zenon_H106 zenon_H104 zenon_H111 zenon_H11a zenon_H110 zenon_H10f zenon_H105 zenon_H120 zenon_H121. % 196.24/196.46 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H102 | zenon_intro zenon_H128 ]. % 196.24/196.46 apply (zenon_L101_); trivial. % 196.24/196.46 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H10d | zenon_intro zenon_H129 ]. % 196.24/196.46 apply (zenon_L104_); trivial. % 196.24/196.46 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H118 | zenon_intro zenon_H11f ]. % 196.24/196.46 apply (zenon_L106_); trivial. % 196.24/196.46 apply (zenon_L107_); trivial. % 196.24/196.46 (* end of lemma zenon_L108_ *) % 196.24/196.46 assert (zenon_L109_ : (~((op1 (e13) (e10)) = (op1 (e13) (unit1)))) -> ((unit1) = (e10)) -> False). % 196.24/196.46 do 0 intro. intros zenon_H12a zenon_H102. % 196.24/196.46 cut (((e10) = (unit1))); [idtac | apply NNPP; zenon_intro zenon_H103]. % 196.24/196.46 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H10b]. % 196.24/196.46 congruence. % 196.24/196.46 apply zenon_H10b. apply refl_equal. % 196.24/196.46 apply zenon_H103. apply sym_equal. exact zenon_H102. % 196.24/196.46 (* end of lemma zenon_L109_ *) % 196.24/196.46 assert (zenon_L110_ : (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e13) (unit1)) = (e13)) -> ((unit1) = (e10)) -> ((op1 (e13) (e11)) = (e13)) -> False). % 196.24/196.46 do 0 intro. intros zenon_H111 zenon_H10f zenon_H102 zenon_H12b. % 196.24/196.46 cut (((op1 (e13) (unit1)) = (e13)) = ((op1 (e13) (e10)) = (op1 (e13) (e11)))). % 196.24/196.46 intro zenon_D_pnotp. % 196.24/196.46 apply zenon_H111. % 196.24/196.46 rewrite <- zenon_D_pnotp. % 196.24/196.46 exact zenon_H10f. % 196.24/196.46 cut (((e13) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H12c]. % 196.24/196.46 cut (((op1 (e13) (unit1)) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H12d]. % 196.24/196.46 congruence. % 196.24/196.46 elim (classic ((op1 (e13) (e10)) = (op1 (e13) (e10)))); [ zenon_intro zenon_H12e | zenon_intro zenon_H12f ]. % 196.24/196.46 cut (((op1 (e13) (e10)) = (op1 (e13) (e10))) = ((op1 (e13) (unit1)) = (op1 (e13) (e10)))). % 196.24/196.46 intro zenon_D_pnotp. % 196.24/196.46 apply zenon_H12d. % 196.24/196.46 rewrite <- zenon_D_pnotp. % 196.24/196.46 exact zenon_H12e. % 196.24/196.46 cut (((op1 (e13) (e10)) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H12f]. % 196.24/196.46 cut (((op1 (e13) (e10)) = (op1 (e13) (unit1)))); [idtac | apply NNPP; zenon_intro zenon_H12a]. % 196.24/196.46 congruence. % 196.24/196.46 apply (zenon_L109_); trivial. % 196.24/196.46 apply zenon_H12f. apply refl_equal. % 196.24/196.46 apply zenon_H12f. apply refl_equal. % 196.24/196.46 apply zenon_H12c. apply sym_equal. exact zenon_H12b. % 196.24/196.46 (* end of lemma zenon_L110_ *) % 196.24/196.46 assert (zenon_L111_ : (~((e10) = (e10))) -> False). % 196.24/196.46 do 0 intro. intros zenon_H130. % 196.24/196.46 apply zenon_H130. apply refl_equal. % 196.24/196.46 (* end of lemma zenon_L111_ *) % 196.24/196.46 assert (zenon_L112_ : (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((op1 (unit1) (e10)) = (e10)) -> ((unit1) = (e11)) -> ((e10) = (op1 (e11) (e11))) -> False). % 196.24/196.46 do 0 intro. intros zenon_H131 zenon_H132 zenon_H10d zenon_H133. % 196.24/196.46 cut (((op1 (unit1) (e10)) = (e10)) = ((op1 (e11) (e10)) = (op1 (e11) (e11)))). % 196.24/196.46 intro zenon_D_pnotp. % 196.24/196.46 apply zenon_H131. % 196.24/196.46 rewrite <- zenon_D_pnotp. % 196.24/196.46 exact zenon_H132. % 196.24/196.46 cut (((e10) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H134]. % 196.24/196.46 cut (((op1 (unit1) (e10)) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H135]. % 196.24/196.46 congruence. % 196.24/196.46 elim (classic ((op1 (e11) (e10)) = (op1 (e11) (e10)))); [ zenon_intro zenon_H136 | zenon_intro zenon_H137 ]. % 196.24/196.46 cut (((op1 (e11) (e10)) = (op1 (e11) (e10))) = ((op1 (unit1) (e10)) = (op1 (e11) (e10)))). % 196.24/196.46 intro zenon_D_pnotp. % 196.24/196.46 apply zenon_H135. % 196.24/196.46 rewrite <- zenon_D_pnotp. % 196.24/196.46 exact zenon_H136. % 196.24/196.46 cut (((op1 (e11) (e10)) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H137]. % 196.24/196.46 cut (((op1 (e11) (e10)) = (op1 (unit1) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H138]. % 196.24/196.46 congruence. % 196.24/196.46 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H130]. % 196.24/196.46 cut (((e11) = (unit1))); [idtac | apply NNPP; zenon_intro zenon_H10e]. % 196.24/196.46 congruence. % 196.24/196.46 apply zenon_H10e. apply sym_equal. exact zenon_H10d. % 196.24/196.46 apply zenon_H130. apply refl_equal. % 196.24/196.46 apply zenon_H137. apply refl_equal. % 196.24/196.46 apply zenon_H137. apply refl_equal. % 196.24/196.46 exact (zenon_H134 zenon_H133). % 196.24/196.46 (* end of lemma zenon_L112_ *) % 196.24/196.46 assert (zenon_L113_ : ((op1 (e13) (unit1)) = (e13)) -> ((unit1) = (e12)) -> ((op1 (e13) (e11)) = (e13)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> False). % 196.24/196.46 do 0 intro. intros zenon_H10f zenon_H118 zenon_H12b zenon_H121. % 196.24/196.46 elim (classic ((op1 (e13) (e12)) = (op1 (e13) (e12)))); [ zenon_intro zenon_H11b | zenon_intro zenon_H11c ]. % 196.24/196.46 cut (((op1 (e13) (e12)) = (op1 (e13) (e12))) = ((op1 (e13) (e11)) = (op1 (e13) (e12)))). % 196.24/196.46 intro zenon_D_pnotp. % 196.24/196.46 apply zenon_H121. % 196.24/196.46 rewrite <- zenon_D_pnotp. % 196.24/196.46 exact zenon_H11b. % 196.24/196.46 cut (((op1 (e13) (e12)) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H11c]. % 196.24/196.46 cut (((op1 (e13) (e12)) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H122]. % 196.24/196.46 congruence. % 196.24/196.46 cut (((op1 (e13) (unit1)) = (e13)) = ((op1 (e13) (e12)) = (op1 (e13) (e11)))). % 196.24/196.46 intro zenon_D_pnotp. % 196.24/196.46 apply zenon_H122. % 196.24/196.46 rewrite <- zenon_D_pnotp. % 196.24/196.46 exact zenon_H10f. % 196.24/196.46 cut (((e13) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H12c]. % 196.24/196.46 cut (((op1 (e13) (unit1)) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H11e]. % 196.24/196.46 congruence. % 196.24/196.46 elim (classic ((op1 (e13) (e12)) = (op1 (e13) (e12)))); [ zenon_intro zenon_H11b | zenon_intro zenon_H11c ]. % 196.24/196.46 cut (((op1 (e13) (e12)) = (op1 (e13) (e12))) = ((op1 (e13) (unit1)) = (op1 (e13) (e12)))). % 196.24/196.46 intro zenon_D_pnotp. % 196.24/196.46 apply zenon_H11e. % 196.24/196.46 rewrite <- zenon_D_pnotp. % 196.24/196.46 exact zenon_H11b. % 196.24/196.46 cut (((op1 (e13) (e12)) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H11c]. % 196.24/196.46 cut (((op1 (e13) (e12)) = (op1 (e13) (unit1)))); [idtac | apply NNPP; zenon_intro zenon_H117]. % 196.24/196.46 congruence. % 196.24/196.46 apply (zenon_L105_); trivial. % 196.24/196.46 apply zenon_H11c. apply refl_equal. % 196.24/196.46 apply zenon_H11c. apply refl_equal. % 196.24/196.46 apply zenon_H12c. apply sym_equal. exact zenon_H12b. % 196.24/196.46 apply zenon_H11c. apply refl_equal. % 196.24/196.46 apply zenon_H11c. apply refl_equal. % 196.24/196.46 (* end of lemma zenon_L113_ *) % 196.24/196.46 assert (zenon_L114_ : (~((op1 (e13) (e13)) = (op1 (unit1) (e13)))) -> ((unit1) = (e13)) -> False). % 196.24/196.46 do 0 intro. intros zenon_H139 zenon_H11f. % 196.24/196.46 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H10b]. % 196.24/196.46 cut (((e13) = (unit1))); [idtac | apply NNPP; zenon_intro zenon_H126]. % 196.24/196.46 congruence. % 196.24/196.46 apply zenon_H126. apply sym_equal. exact zenon_H11f. % 196.24/196.46 apply zenon_H10b. apply refl_equal. % 196.24/196.46 (* end of lemma zenon_L114_ *) % 196.24/196.46 assert (zenon_L115_ : ((op1 (unit1) (e13)) = (e13)) -> ((unit1) = (e13)) -> ((op1 (e13) (e11)) = (e13)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> False). % 196.24/196.46 do 0 intro. intros zenon_H13a zenon_H11f zenon_H12b zenon_H13b. % 196.24/196.46 elim (classic ((op1 (e13) (e13)) = (op1 (e13) (e13)))); [ zenon_intro zenon_H13c | zenon_intro zenon_H13d ]. % 196.24/196.46 cut (((op1 (e13) (e13)) = (op1 (e13) (e13))) = ((op1 (e13) (e11)) = (op1 (e13) (e13)))). % 196.24/196.46 intro zenon_D_pnotp. % 196.24/196.46 apply zenon_H13b. % 196.24/196.46 rewrite <- zenon_D_pnotp. % 196.24/196.46 exact zenon_H13c. % 196.24/196.46 cut (((op1 (e13) (e13)) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H13d]. % 196.24/196.46 cut (((op1 (e13) (e13)) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H13e]. % 196.24/196.46 congruence. % 196.24/196.46 cut (((op1 (unit1) (e13)) = (e13)) = ((op1 (e13) (e13)) = (op1 (e13) (e11)))). % 196.24/196.46 intro zenon_D_pnotp. % 196.24/196.46 apply zenon_H13e. % 196.24/196.46 rewrite <- zenon_D_pnotp. % 196.24/196.46 exact zenon_H13a. % 196.24/196.46 cut (((e13) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H12c]. % 196.24/196.46 cut (((op1 (unit1) (e13)) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H13f]. % 196.24/196.46 congruence. % 196.24/196.46 elim (classic ((op1 (e13) (e13)) = (op1 (e13) (e13)))); [ zenon_intro zenon_H13c | zenon_intro zenon_H13d ]. % 196.24/196.46 cut (((op1 (e13) (e13)) = (op1 (e13) (e13))) = ((op1 (unit1) (e13)) = (op1 (e13) (e13)))). % 196.24/196.46 intro zenon_D_pnotp. % 196.24/196.46 apply zenon_H13f. % 196.24/196.46 rewrite <- zenon_D_pnotp. % 196.24/196.46 exact zenon_H13c. % 196.24/196.46 cut (((op1 (e13) (e13)) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H13d]. % 196.24/196.46 cut (((op1 (e13) (e13)) = (op1 (unit1) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H139]. % 196.24/196.46 congruence. % 196.24/196.46 apply (zenon_L114_); trivial. % 196.24/196.46 apply zenon_H13d. apply refl_equal. % 196.24/196.46 apply zenon_H13d. apply refl_equal. % 196.24/196.46 apply zenon_H12c. apply sym_equal. exact zenon_H12b. % 196.24/196.46 apply zenon_H13d. apply refl_equal. % 196.24/196.46 apply zenon_H13d. apply refl_equal. % 196.24/196.46 (* end of lemma zenon_L115_ *) % 196.24/196.46 assert (zenon_L116_ : (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> ((op1 (unit1) (e10)) = (e10)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (e13) (unit1)) = (e13)) -> ((op1 (unit1) (e13)) = (e13)) -> ((op1 (e13) (e11)) = (e13)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> False). % 196.24/196.46 do 0 intro. intros zenon_H127 zenon_H111 zenon_H133 zenon_H132 zenon_H131 zenon_H121 zenon_H10f zenon_H13a zenon_H12b zenon_H13b. % 196.24/196.46 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H102 | zenon_intro zenon_H128 ]. % 196.24/196.46 apply (zenon_L110_); trivial. % 196.24/196.46 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H10d | zenon_intro zenon_H129 ]. % 196.24/196.46 apply (zenon_L112_); trivial. % 196.24/196.46 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H118 | zenon_intro zenon_H11f ]. % 196.24/196.46 apply (zenon_L113_); trivial. % 196.24/196.46 apply (zenon_L115_); trivial. % 196.24/196.46 (* end of lemma zenon_L116_ *) % 196.24/196.46 assert (zenon_L117_ : (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e13) (unit1)) = (e13)) -> ((unit1) = (e10)) -> ((op1 (e13) (e12)) = (e13)) -> False). % 196.24/196.46 do 0 intro. intros zenon_H11a zenon_H10f zenon_H102 zenon_H140. % 196.24/196.46 cut (((op1 (e13) (unit1)) = (e13)) = ((op1 (e13) (e10)) = (op1 (e13) (e12)))). % 196.24/196.46 intro zenon_D_pnotp. % 196.24/196.46 apply zenon_H11a. % 196.24/196.46 rewrite <- zenon_D_pnotp. % 196.24/196.46 exact zenon_H10f. % 196.24/196.46 cut (((e13) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H141]. % 196.24/196.46 cut (((op1 (e13) (unit1)) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H12d]. % 196.24/196.46 congruence. % 196.24/196.46 elim (classic ((op1 (e13) (e10)) = (op1 (e13) (e10)))); [ zenon_intro zenon_H12e | zenon_intro zenon_H12f ]. % 196.24/196.46 cut (((op1 (e13) (e10)) = (op1 (e13) (e10))) = ((op1 (e13) (unit1)) = (op1 (e13) (e10)))). % 196.24/196.46 intro zenon_D_pnotp. % 196.24/196.46 apply zenon_H12d. % 196.24/196.46 rewrite <- zenon_D_pnotp. % 196.24/196.46 exact zenon_H12e. % 196.24/196.46 cut (((op1 (e13) (e10)) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H12f]. % 196.24/196.46 cut (((op1 (e13) (e10)) = (op1 (e13) (unit1)))); [idtac | apply NNPP; zenon_intro zenon_H12a]. % 196.24/196.46 congruence. % 196.24/196.46 apply (zenon_L109_); trivial. % 196.24/196.46 apply zenon_H12f. apply refl_equal. % 196.24/196.46 apply zenon_H12f. apply refl_equal. % 196.24/196.46 apply zenon_H141. apply sym_equal. exact zenon_H140. % 196.24/196.46 (* end of lemma zenon_L117_ *) % 196.24/196.46 assert (zenon_L118_ : (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (e13) (unit1)) = (e13)) -> ((unit1) = (e11)) -> ((op1 (e13) (e12)) = (e13)) -> False). % 196.24/196.46 do 0 intro. intros zenon_H121 zenon_H10f zenon_H10d zenon_H140. % 196.24/196.46 cut (((op1 (e13) (unit1)) = (e13)) = ((op1 (e13) (e11)) = (op1 (e13) (e12)))). % 196.24/196.46 intro zenon_D_pnotp. % 196.24/196.46 apply zenon_H121. % 196.24/196.46 rewrite <- zenon_D_pnotp. % 196.24/196.46 exact zenon_H10f. % 196.24/196.46 cut (((e13) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H141]. % 196.24/196.46 cut (((op1 (e13) (unit1)) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H116]. % 196.24/196.46 congruence. % 196.24/196.46 elim (classic ((op1 (e13) (e11)) = (op1 (e13) (e11)))); [ zenon_intro zenon_H112 | zenon_intro zenon_H113 ]. % 196.24/196.46 cut (((op1 (e13) (e11)) = (op1 (e13) (e11))) = ((op1 (e13) (unit1)) = (op1 (e13) (e11)))). % 196.24/196.46 intro zenon_D_pnotp. % 196.24/196.46 apply zenon_H116. % 196.24/196.46 rewrite <- zenon_D_pnotp. % 196.24/196.46 exact zenon_H112. % 196.24/196.46 cut (((op1 (e13) (e11)) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H113]. % 196.24/196.46 cut (((op1 (e13) (e11)) = (op1 (e13) (unit1)))); [idtac | apply NNPP; zenon_intro zenon_H10c]. % 196.24/196.46 congruence. % 196.24/196.46 apply (zenon_L103_); trivial. % 196.24/196.46 apply zenon_H113. apply refl_equal. % 196.24/196.46 apply zenon_H113. apply refl_equal. % 196.24/196.46 apply zenon_H141. apply sym_equal. exact zenon_H140. % 196.24/196.46 (* end of lemma zenon_L118_ *) % 196.24/196.46 assert (zenon_L119_ : (~((op1 (e12) (e10)) = (op1 (unit1) (e10)))) -> ((unit1) = (e12)) -> False). % 196.24/196.46 do 0 intro. intros zenon_H142 zenon_H118. % 196.24/196.46 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H130]. % 196.24/196.46 cut (((e12) = (unit1))); [idtac | apply NNPP; zenon_intro zenon_H119]. % 196.24/196.46 congruence. % 196.24/196.46 apply zenon_H119. apply sym_equal. exact zenon_H118. % 196.24/196.46 apply zenon_H130. apply refl_equal. % 196.24/196.46 (* end of lemma zenon_L119_ *) % 196.24/196.46 assert (zenon_L120_ : (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e10)) = (e10)) -> ((unit1) = (e12)) -> ((op1 (e12) (e12)) = (e10)) -> False). % 196.24/196.46 do 0 intro. intros zenon_H143 zenon_H132 zenon_H118 zenon_H144. % 196.24/196.46 cut (((op1 (unit1) (e10)) = (e10)) = ((op1 (e12) (e10)) = (op1 (e12) (e12)))). % 196.24/196.46 intro zenon_D_pnotp. % 196.24/196.46 apply zenon_H143. % 196.24/196.46 rewrite <- zenon_D_pnotp. % 196.24/196.46 exact zenon_H132. % 196.24/196.46 cut (((e10) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H145]. % 196.24/196.46 cut (((op1 (unit1) (e10)) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H146]. % 196.24/196.46 congruence. % 196.24/196.46 elim (classic ((op1 (e12) (e10)) = (op1 (e12) (e10)))); [ zenon_intro zenon_H147 | zenon_intro zenon_H148 ]. % 196.24/196.46 cut (((op1 (e12) (e10)) = (op1 (e12) (e10))) = ((op1 (unit1) (e10)) = (op1 (e12) (e10)))). % 196.24/196.46 intro zenon_D_pnotp. % 196.24/196.46 apply zenon_H146. % 196.24/196.46 rewrite <- zenon_D_pnotp. % 196.24/196.46 exact zenon_H147. % 196.24/196.46 cut (((op1 (e12) (e10)) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H148]. % 196.24/196.46 cut (((op1 (e12) (e10)) = (op1 (unit1) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H142]. % 196.24/196.46 congruence. % 196.24/196.46 apply (zenon_L119_); trivial. % 196.24/196.46 apply zenon_H148. apply refl_equal. % 196.24/196.46 apply zenon_H148. apply refl_equal. % 196.24/196.46 apply zenon_H145. apply sym_equal. exact zenon_H144. % 196.24/196.46 (* end of lemma zenon_L120_ *) % 196.24/196.46 assert (zenon_L121_ : (~((e11) = (e11))) -> False). % 196.24/196.46 do 0 intro. intros zenon_H149. % 196.24/196.46 apply zenon_H149. apply refl_equal. % 196.24/196.46 (* end of lemma zenon_L121_ *) % 196.24/196.46 assert (zenon_L122_ : (~((op1 (e12) (e11)) = (op1 (unit1) (e11)))) -> ((unit1) = (e12)) -> False). % 196.24/196.46 do 0 intro. intros zenon_H14a zenon_H118. % 196.24/196.46 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H149]. % 196.24/196.46 cut (((e12) = (unit1))); [idtac | apply NNPP; zenon_intro zenon_H119]. % 196.24/196.46 congruence. % 196.24/196.46 apply zenon_H119. apply sym_equal. exact zenon_H118. % 196.24/196.46 apply zenon_H149. apply refl_equal. % 196.24/196.46 (* end of lemma zenon_L122_ *) % 196.24/196.46 assert (zenon_L123_ : (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> ((unit1) = (e12)) -> ((op1 (e12) (e12)) = (e11)) -> False). % 196.24/196.46 do 0 intro. intros zenon_H14b zenon_H14c zenon_H118 zenon_H14d. % 196.24/196.46 cut (((op1 (unit1) (e11)) = (e11)) = ((op1 (e12) (e11)) = (op1 (e12) (e12)))). % 196.24/196.46 intro zenon_D_pnotp. % 196.24/196.46 apply zenon_H14b. % 196.24/196.46 rewrite <- zenon_D_pnotp. % 196.24/196.46 exact zenon_H14c. % 196.24/196.46 cut (((e11) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H14e]. % 196.24/196.46 cut (((op1 (unit1) (e11)) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H14f]. % 196.24/196.46 congruence. % 196.24/196.46 elim (classic ((op1 (e12) (e11)) = (op1 (e12) (e11)))); [ zenon_intro zenon_H150 | zenon_intro zenon_H151 ]. % 196.24/196.46 cut (((op1 (e12) (e11)) = (op1 (e12) (e11))) = ((op1 (unit1) (e11)) = (op1 (e12) (e11)))). % 196.24/196.46 intro zenon_D_pnotp. % 196.24/196.46 apply zenon_H14f. % 196.24/196.46 rewrite <- zenon_D_pnotp. % 196.24/196.46 exact zenon_H150. % 196.24/196.46 cut (((op1 (e12) (e11)) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H151]. % 196.24/196.46 cut (((op1 (e12) (e11)) = (op1 (unit1) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H14a]. % 196.24/196.46 congruence. % 196.24/196.46 apply (zenon_L122_); trivial. % 196.24/196.46 apply zenon_H151. apply refl_equal. % 196.24/196.46 apply zenon_H151. apply refl_equal. % 196.24/196.46 apply zenon_H14e. apply sym_equal. exact zenon_H14d. % 196.24/196.46 (* end of lemma zenon_L123_ *) % 196.24/196.46 assert (zenon_L124_ : ((e12) = (op1 (e13) (e11))) -> ((op1 (e13) (e13)) = (e12)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> False). % 196.24/196.46 do 0 intro. intros zenon_H120 zenon_H152 zenon_H13b. % 196.24/196.46 elim (classic ((op1 (e13) (e13)) = (op1 (e13) (e13)))); [ zenon_intro zenon_H13c | zenon_intro zenon_H13d ]. % 196.24/196.46 cut (((op1 (e13) (e13)) = (op1 (e13) (e13))) = ((op1 (e13) (e11)) = (op1 (e13) (e13)))). % 196.24/196.46 intro zenon_D_pnotp. % 196.24/196.46 apply zenon_H13b. % 196.24/196.46 rewrite <- zenon_D_pnotp. % 196.24/196.46 exact zenon_H13c. % 196.24/196.46 cut (((op1 (e13) (e13)) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H13d]. % 196.24/196.46 cut (((op1 (e13) (e13)) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H13e]. % 196.24/196.46 congruence. % 196.24/196.46 cut (((e12) = (op1 (e13) (e11))) = ((op1 (e13) (e13)) = (op1 (e13) (e11)))). % 196.24/196.46 intro zenon_D_pnotp. % 196.24/196.46 apply zenon_H13e. % 196.24/196.46 rewrite <- zenon_D_pnotp. % 196.24/196.46 exact zenon_H120. % 196.24/196.46 cut (((op1 (e13) (e11)) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H113]. % 196.24/196.46 cut (((e12) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H153]. % 196.24/196.46 congruence. % 196.24/196.46 elim (classic ((op1 (e13) (e13)) = (op1 (e13) (e13)))); [ zenon_intro zenon_H13c | zenon_intro zenon_H13d ]. % 196.24/196.46 cut (((op1 (e13) (e13)) = (op1 (e13) (e13))) = ((e12) = (op1 (e13) (e13)))). % 196.24/196.46 intro zenon_D_pnotp. % 196.24/196.46 apply zenon_H153. % 196.24/196.46 rewrite <- zenon_D_pnotp. % 196.24/196.46 exact zenon_H13c. % 196.24/196.46 cut (((op1 (e13) (e13)) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H13d]. % 196.24/196.46 cut (((op1 (e13) (e13)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H154]. % 196.24/196.46 congruence. % 196.24/196.46 exact (zenon_H154 zenon_H152). % 196.24/196.46 apply zenon_H13d. apply refl_equal. % 196.24/196.46 apply zenon_H13d. apply refl_equal. % 196.24/196.46 apply zenon_H113. apply refl_equal. % 196.24/196.46 apply zenon_H13d. apply refl_equal. % 196.24/196.46 apply zenon_H13d. apply refl_equal. % 196.24/196.46 (* end of lemma zenon_L124_ *) % 196.24/196.46 assert (zenon_L125_ : (((op1 (e10) (e10)) = (e12))/\(((op1 (e11) (e11)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((op1 (e13) (e13)) = (e12))))) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> False). % 196.24/196.46 do 0 intro. intros zenon_H155 zenon_H120 zenon_H13b. % 196.24/196.46 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H157. zenon_intro zenon_H156. % 196.24/196.46 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H159. zenon_intro zenon_H158. % 196.24/196.46 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H15a. zenon_intro zenon_H152. % 196.24/196.46 apply (zenon_L124_); trivial. % 196.24/196.46 (* end of lemma zenon_L125_ *) % 196.24/196.46 assert (zenon_L126_ : (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> ((unit1) = (e12)) -> ((op1 (e13) (e13)) = (e13)) -> False). % 196.24/196.46 do 0 intro. intros zenon_H15b zenon_H10f zenon_H118 zenon_H15c. % 196.24/196.46 cut (((op1 (e13) (unit1)) = (e13)) = ((op1 (e13) (e12)) = (op1 (e13) (e13)))). % 196.24/196.46 intro zenon_D_pnotp. % 196.24/196.46 apply zenon_H15b. % 196.24/196.46 rewrite <- zenon_D_pnotp. % 196.24/196.46 exact zenon_H10f. % 196.24/196.46 cut (((e13) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H15d]. % 196.24/196.46 cut (((op1 (e13) (unit1)) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H11e]. % 196.24/196.46 congruence. % 196.24/196.46 elim (classic ((op1 (e13) (e12)) = (op1 (e13) (e12)))); [ zenon_intro zenon_H11b | zenon_intro zenon_H11c ]. % 196.24/196.46 cut (((op1 (e13) (e12)) = (op1 (e13) (e12))) = ((op1 (e13) (unit1)) = (op1 (e13) (e12)))). % 196.24/196.46 intro zenon_D_pnotp. % 196.24/196.46 apply zenon_H11e. % 196.24/196.46 rewrite <- zenon_D_pnotp. % 196.24/196.46 exact zenon_H11b. % 196.24/196.46 cut (((op1 (e13) (e12)) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H11c]. % 196.24/196.46 cut (((op1 (e13) (e12)) = (op1 (e13) (unit1)))); [idtac | apply NNPP; zenon_intro zenon_H117]. % 196.24/196.46 congruence. % 196.24/196.46 apply (zenon_L105_); trivial. % 196.24/196.46 apply zenon_H11c. apply refl_equal. % 196.24/196.46 apply zenon_H11c. apply refl_equal. % 196.24/196.46 apply zenon_H15d. apply sym_equal. exact zenon_H15c. % 196.24/196.46 (* end of lemma zenon_L126_ *) % 196.24/196.46 assert (zenon_L127_ : (((op1 (e10) (e10)) = (e13))/\(((op1 (e11) (e11)) = (e13))/\(((op1 (e12) (e12)) = (e13))/\((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> ((unit1) = (e12)) -> False). % 196.24/196.46 do 0 intro. intros zenon_H15e zenon_H15b zenon_H10f zenon_H118. % 196.24/196.46 apply (zenon_and_s _ _ zenon_H15e). zenon_intro zenon_H160. zenon_intro zenon_H15f. % 196.24/196.46 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_H162. zenon_intro zenon_H161. % 196.24/196.46 apply (zenon_and_s _ _ zenon_H161). zenon_intro zenon_H163. zenon_intro zenon_H15c. % 196.24/196.46 apply (zenon_L126_); trivial. % 196.24/196.46 (* end of lemma zenon_L127_ *) % 196.24/196.46 assert (zenon_L128_ : ((op1 (unit1) (e10)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> ((unit1) = (e12)) -> False). % 196.24/196.46 do 0 intro. intros zenon_H132 zenon_H143 zenon_H14c zenon_H14b zenon_H13b zenon_H120 zenon_H15b zenon_H10f zenon_H118. % 196.24/196.46 apply (zenon_or_s _ _ ax12); [ zenon_intro zenon_H165 | zenon_intro zenon_H164 ]. % 196.24/196.46 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_Hf4. zenon_intro zenon_H166. % 196.24/196.46 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H168. zenon_intro zenon_H167. % 196.24/196.46 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H144. zenon_intro zenon_H169. % 196.24/196.46 apply (zenon_L120_); trivial. % 196.24/196.46 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H16b | zenon_intro zenon_H16a ]. % 196.24/196.46 apply (zenon_and_s _ _ zenon_H16b). zenon_intro zenon_H16d. zenon_intro zenon_H16c. % 196.24/196.46 apply (zenon_and_s _ _ zenon_H16c). zenon_intro zenon_H16f. zenon_intro zenon_H16e. % 196.24/196.46 apply (zenon_and_s _ _ zenon_H16e). zenon_intro zenon_H14d. zenon_intro zenon_H170. % 196.24/196.46 apply (zenon_L123_); trivial. % 196.24/196.46 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H155 | zenon_intro zenon_H15e ]. % 196.24/196.46 apply (zenon_L125_); trivial. % 196.24/196.46 apply (zenon_L127_); trivial. % 196.24/196.46 (* end of lemma zenon_L128_ *) % 196.24/196.46 assert (zenon_L129_ : ((op1 (unit1) (e13)) = (e13)) -> ((unit1) = (e13)) -> ((op1 (e13) (e12)) = (e13)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> False). % 196.24/196.46 do 0 intro. intros zenon_H13a zenon_H11f zenon_H140 zenon_H15b. % 196.24/196.46 elim (classic ((op1 (e13) (e13)) = (op1 (e13) (e13)))); [ zenon_intro zenon_H13c | zenon_intro zenon_H13d ]. % 196.24/196.46 cut (((op1 (e13) (e13)) = (op1 (e13) (e13))) = ((op1 (e13) (e12)) = (op1 (e13) (e13)))). % 196.24/196.46 intro zenon_D_pnotp. % 196.24/196.46 apply zenon_H15b. % 196.24/196.46 rewrite <- zenon_D_pnotp. % 196.24/196.46 exact zenon_H13c. % 196.24/196.46 cut (((op1 (e13) (e13)) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H13d]. % 196.24/196.46 cut (((op1 (e13) (e13)) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H171]. % 196.24/196.46 congruence. % 196.24/196.46 cut (((op1 (unit1) (e13)) = (e13)) = ((op1 (e13) (e13)) = (op1 (e13) (e12)))). % 196.24/196.46 intro zenon_D_pnotp. % 196.24/196.46 apply zenon_H171. % 196.24/196.46 rewrite <- zenon_D_pnotp. % 196.24/196.46 exact zenon_H13a. % 196.24/196.46 cut (((e13) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H141]. % 196.24/196.46 cut (((op1 (unit1) (e13)) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H13f]. % 196.24/196.46 congruence. % 196.24/196.46 elim (classic ((op1 (e13) (e13)) = (op1 (e13) (e13)))); [ zenon_intro zenon_H13c | zenon_intro zenon_H13d ]. % 196.24/196.46 cut (((op1 (e13) (e13)) = (op1 (e13) (e13))) = ((op1 (unit1) (e13)) = (op1 (e13) (e13)))). % 196.24/196.46 intro zenon_D_pnotp. % 196.24/196.46 apply zenon_H13f. % 196.24/196.46 rewrite <- zenon_D_pnotp. % 196.24/196.46 exact zenon_H13c. % 196.24/196.46 cut (((op1 (e13) (e13)) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H13d]. % 196.24/196.46 cut (((op1 (e13) (e13)) = (op1 (unit1) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H139]. % 196.24/196.46 congruence. % 196.24/196.46 apply (zenon_L114_); trivial. % 196.24/196.46 apply zenon_H13d. apply refl_equal. % 196.24/196.46 apply zenon_H13d. apply refl_equal. % 196.24/196.46 apply zenon_H141. apply sym_equal. exact zenon_H140. % 196.24/196.46 apply zenon_H13d. apply refl_equal. % 196.24/196.46 apply zenon_H13d. apply refl_equal. % 196.24/196.46 (* end of lemma zenon_L129_ *) % 196.24/196.46 assert (zenon_L130_ : (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (e13) (unit1)) = (e13)) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e10)) = (e10)) -> ((op1 (unit1) (e13)) = (e13)) -> ((op1 (e13) (e12)) = (e13)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> False). % 196.24/196.46 do 0 intro. intros zenon_H127 zenon_H11a zenon_H121 zenon_H10f zenon_H120 zenon_H13b zenon_H14b zenon_H14c zenon_H143 zenon_H132 zenon_H13a zenon_H140 zenon_H15b. % 196.24/196.46 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H102 | zenon_intro zenon_H128 ]. % 196.24/196.46 apply (zenon_L117_); trivial. % 196.24/196.46 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H10d | zenon_intro zenon_H129 ]. % 196.24/196.46 apply (zenon_L118_); trivial. % 196.24/196.46 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H118 | zenon_intro zenon_H11f ]. % 196.24/196.46 apply (zenon_L128_); trivial. % 196.24/196.46 apply (zenon_L129_); trivial. % 196.24/196.46 (* end of lemma zenon_L130_ *) % 196.24/196.46 assert (zenon_L131_ : (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> ((unit1) = (e10)) -> ((op1 (e13) (e13)) = (e13)) -> False). % 196.24/196.46 do 0 intro. intros zenon_H172 zenon_H10f zenon_H102 zenon_H15c. % 196.24/196.46 cut (((op1 (e13) (unit1)) = (e13)) = ((op1 (e13) (e10)) = (op1 (e13) (e13)))). % 196.24/196.46 intro zenon_D_pnotp. % 196.24/196.46 apply zenon_H172. % 196.24/196.46 rewrite <- zenon_D_pnotp. % 196.24/196.46 exact zenon_H10f. % 196.24/196.46 cut (((e13) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H15d]. % 196.24/196.46 cut (((op1 (e13) (unit1)) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H12d]. % 196.24/196.46 congruence. % 196.24/196.46 elim (classic ((op1 (e13) (e10)) = (op1 (e13) (e10)))); [ zenon_intro zenon_H12e | zenon_intro zenon_H12f ]. % 196.24/196.46 cut (((op1 (e13) (e10)) = (op1 (e13) (e10))) = ((op1 (e13) (unit1)) = (op1 (e13) (e10)))). % 196.24/196.46 intro zenon_D_pnotp. % 196.24/196.46 apply zenon_H12d. % 196.24/196.46 rewrite <- zenon_D_pnotp. % 196.24/196.46 exact zenon_H12e. % 196.24/196.46 cut (((op1 (e13) (e10)) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H12f]. % 196.24/196.46 cut (((op1 (e13) (e10)) = (op1 (e13) (unit1)))); [idtac | apply NNPP; zenon_intro zenon_H12a]. % 196.24/196.46 congruence. % 196.24/196.46 apply (zenon_L109_); trivial. % 196.24/196.46 apply zenon_H12f. apply refl_equal. % 196.24/196.46 apply zenon_H12f. apply refl_equal. % 196.24/196.46 apply zenon_H15d. apply sym_equal. exact zenon_H15c. % 196.24/196.46 (* end of lemma zenon_L131_ *) % 196.24/196.46 assert (zenon_L132_ : (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> ((unit1) = (e11)) -> ((op1 (e13) (e13)) = (e13)) -> False). % 196.24/196.46 do 0 intro. intros zenon_H13b zenon_H10f zenon_H10d zenon_H15c. % 196.24/196.46 cut (((op1 (e13) (unit1)) = (e13)) = ((op1 (e13) (e11)) = (op1 (e13) (e13)))). % 196.24/196.46 intro zenon_D_pnotp. % 196.24/196.46 apply zenon_H13b. % 196.24/196.46 rewrite <- zenon_D_pnotp. % 196.24/196.46 exact zenon_H10f. % 196.24/196.46 cut (((e13) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H15d]. % 196.24/196.46 cut (((op1 (e13) (unit1)) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H116]. % 196.24/196.46 congruence. % 196.24/196.46 elim (classic ((op1 (e13) (e11)) = (op1 (e13) (e11)))); [ zenon_intro zenon_H112 | zenon_intro zenon_H113 ]. % 196.24/196.46 cut (((op1 (e13) (e11)) = (op1 (e13) (e11))) = ((op1 (e13) (unit1)) = (op1 (e13) (e11)))). % 196.24/196.46 intro zenon_D_pnotp. % 196.24/196.46 apply zenon_H116. % 196.24/196.46 rewrite <- zenon_D_pnotp. % 196.24/196.46 exact zenon_H112. % 196.24/196.46 cut (((op1 (e13) (e11)) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H113]. % 196.24/196.46 cut (((op1 (e13) (e11)) = (op1 (e13) (unit1)))); [idtac | apply NNPP; zenon_intro zenon_H10c]. % 196.24/196.46 congruence. % 196.24/196.46 apply (zenon_L103_); trivial. % 196.24/196.46 apply zenon_H113. apply refl_equal. % 196.24/196.46 apply zenon_H113. apply refl_equal. % 196.24/196.46 apply zenon_H15d. apply sym_equal. exact zenon_H15c. % 196.24/196.46 (* end of lemma zenon_L132_ *) % 196.24/196.46 assert (zenon_L133_ : (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e13) (e13)) = (e13)) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (unit1) (e12)) = (e12)) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> False). % 196.24/196.46 do 0 intro. intros zenon_H127 zenon_H172 zenon_H13b zenon_H15c zenon_H10f zenon_H15b zenon_H105 zenon_H120 zenon_H121. % 196.24/196.46 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H102 | zenon_intro zenon_H128 ]. % 196.24/196.46 apply (zenon_L131_); trivial. % 196.24/196.46 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H10d | zenon_intro zenon_H129 ]. % 196.24/196.46 apply (zenon_L132_); trivial. % 196.24/196.46 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H118 | zenon_intro zenon_H11f ]. % 196.24/196.46 apply (zenon_L126_); trivial. % 196.24/196.46 apply (zenon_L107_); trivial. % 196.24/196.46 (* end of lemma zenon_L133_ *) % 196.24/196.46 assert (zenon_L134_ : (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (unit1) (e13)) = (e13)) -> ((op1 (unit1) (e10)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (unit1) (e12)) = (e12)) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> False). % 196.24/196.46 do 0 intro. intros zenon_H173 zenon_H104 zenon_H106 zenon_H131 zenon_H133 zenon_H111 zenon_H13a zenon_H132 zenon_H143 zenon_H14c zenon_H14b zenon_H11a zenon_H127 zenon_H172 zenon_H13b zenon_H10f zenon_H15b zenon_H105 zenon_H120 zenon_H121. % 196.24/196.46 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H110 | zenon_intro zenon_H174 ]. % 196.24/196.46 apply (zenon_L108_); trivial. % 196.24/196.46 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H12b | zenon_intro zenon_H175 ]. % 196.24/196.46 apply (zenon_L116_); trivial. % 196.24/196.46 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H140 | zenon_intro zenon_H15c ]. % 196.24/196.46 apply (zenon_L130_); trivial. % 196.24/196.46 apply (zenon_L133_); trivial. % 196.24/196.46 (* end of lemma zenon_L134_ *) % 196.24/196.46 assert (zenon_L135_ : (~((op1 (e10) (e11)) = (op1 (unit1) (e11)))) -> ((unit1) = (e10)) -> False). % 196.24/196.46 do 0 intro. intros zenon_H176 zenon_H102. % 196.24/196.46 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H149]. % 196.24/196.46 cut (((e10) = (unit1))); [idtac | apply NNPP; zenon_intro zenon_H103]. % 196.24/196.46 congruence. % 196.24/196.46 apply zenon_H103. apply sym_equal. exact zenon_H102. % 196.24/196.46 apply zenon_H149. apply refl_equal. % 196.24/196.46 (* end of lemma zenon_L135_ *) % 196.24/196.46 assert (zenon_L136_ : (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> ((op1 (e10) (e12)) = (e11)) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e10)) = (e13)) -> ((op1 (e13) (unit1)) = (e13)) -> ((op1 (unit1) (e12)) = (e12)) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> False). % 196.24/196.46 do 0 intro. intros zenon_H127 zenon_H177 zenon_H14c zenon_H178 zenon_H111 zenon_H11a zenon_H110 zenon_H10f zenon_H105 zenon_H120 zenon_H121. % 196.24/196.46 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H102 | zenon_intro zenon_H128 ]. % 196.24/196.46 cut (((op1 (unit1) (e11)) = (e11)) = ((op1 (e10) (e11)) = (op1 (e10) (e12)))). % 196.24/196.46 intro zenon_D_pnotp. % 196.24/196.46 apply zenon_H178. % 196.24/196.46 rewrite <- zenon_D_pnotp. % 196.24/196.46 exact zenon_H14c. % 196.24/196.46 cut (((e11) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H179]. % 196.24/196.46 cut (((op1 (unit1) (e11)) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H17a]. % 196.24/196.46 congruence. % 196.24/196.46 elim (classic ((op1 (e10) (e11)) = (op1 (e10) (e11)))); [ zenon_intro zenon_H17b | zenon_intro zenon_H17c ]. % 196.24/196.46 cut (((op1 (e10) (e11)) = (op1 (e10) (e11))) = ((op1 (unit1) (e11)) = (op1 (e10) (e11)))). % 196.24/196.46 intro zenon_D_pnotp. % 196.24/196.46 apply zenon_H17a. % 196.24/196.46 rewrite <- zenon_D_pnotp. % 196.24/196.46 exact zenon_H17b. % 196.24/196.46 cut (((op1 (e10) (e11)) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H17c]. % 196.24/196.46 cut (((op1 (e10) (e11)) = (op1 (unit1) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H176]. % 196.24/196.46 congruence. % 196.24/196.46 apply (zenon_L135_); trivial. % 196.24/196.46 apply zenon_H17c. apply refl_equal. % 196.24/196.46 apply zenon_H17c. apply refl_equal. % 196.24/196.46 apply zenon_H179. apply sym_equal. exact zenon_H177. % 196.24/196.46 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H10d | zenon_intro zenon_H129 ]. % 196.24/196.46 apply (zenon_L104_); trivial. % 196.24/196.46 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H118 | zenon_intro zenon_H11f ]. % 196.24/196.46 apply (zenon_L106_); trivial. % 196.24/196.46 apply (zenon_L107_); trivial. % 196.24/196.46 (* end of lemma zenon_L136_ *) % 196.24/196.46 assert (zenon_L137_ : (~((op1 (e11) (e12)) = (op1 (unit1) (e12)))) -> ((unit1) = (e11)) -> False). % 196.24/196.46 do 0 intro. intros zenon_H17d zenon_H10d. % 196.24/196.46 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H100]. % 196.24/196.46 cut (((e11) = (unit1))); [idtac | apply NNPP; zenon_intro zenon_H10e]. % 196.24/196.46 congruence. % 196.24/196.46 apply zenon_H10e. apply sym_equal. exact zenon_H10d. % 196.24/196.46 apply zenon_H100. apply refl_equal. % 196.24/196.46 (* end of lemma zenon_L137_ *) % 196.24/196.46 assert (zenon_L138_ : (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (unit1) (e12)) = (e12)) -> ((unit1) = (e11)) -> ((op1 (e11) (e13)) = (e12)) -> False). % 196.24/196.46 do 0 intro. intros zenon_H17e zenon_H105 zenon_H10d zenon_H17f. % 196.24/196.46 cut (((op1 (unit1) (e12)) = (e12)) = ((op1 (e11) (e12)) = (op1 (e11) (e13)))). % 196.24/196.46 intro zenon_D_pnotp. % 196.24/196.46 apply zenon_H17e. % 196.24/196.46 rewrite <- zenon_D_pnotp. % 196.24/196.46 exact zenon_H105. % 196.24/196.46 cut (((e12) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H180]. % 196.24/196.46 cut (((op1 (unit1) (e12)) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H181]. % 196.24/196.46 congruence. % 196.24/196.46 elim (classic ((op1 (e11) (e12)) = (op1 (e11) (e12)))); [ zenon_intro zenon_H182 | zenon_intro zenon_H183 ]. % 196.24/196.46 cut (((op1 (e11) (e12)) = (op1 (e11) (e12))) = ((op1 (unit1) (e12)) = (op1 (e11) (e12)))). % 196.24/196.46 intro zenon_D_pnotp. % 196.24/196.46 apply zenon_H181. % 196.24/196.46 rewrite <- zenon_D_pnotp. % 196.24/196.46 exact zenon_H182. % 196.24/196.46 cut (((op1 (e11) (e12)) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H183]. % 196.24/196.46 cut (((op1 (e11) (e12)) = (op1 (unit1) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H17d]. % 196.24/196.46 congruence. % 196.24/196.46 apply (zenon_L137_); trivial. % 196.24/196.46 apply zenon_H183. apply refl_equal. % 196.24/196.46 apply zenon_H183. apply refl_equal. % 196.24/196.46 apply zenon_H180. apply sym_equal. exact zenon_H17f. % 196.24/196.46 (* end of lemma zenon_L138_ *) % 196.24/196.46 assert (zenon_L139_ : (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e11) (e13)) = (e12)) -> ((op1 (unit1) (e12)) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (e13) (unit1)) = (e13)) -> ((op1 (unit1) (e13)) = (e13)) -> ((op1 (e13) (e11)) = (e13)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> False). % 196.24/196.46 do 0 intro. intros zenon_H127 zenon_H111 zenon_H17f zenon_H105 zenon_H17e zenon_H121 zenon_H10f zenon_H13a zenon_H12b zenon_H13b. % 196.24/196.46 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H102 | zenon_intro zenon_H128 ]. % 196.24/196.46 apply (zenon_L110_); trivial. % 196.24/196.46 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H10d | zenon_intro zenon_H129 ]. % 196.24/196.46 apply (zenon_L138_); trivial. % 196.24/196.46 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H118 | zenon_intro zenon_H11f ]. % 196.24/196.46 apply (zenon_L113_); trivial. % 196.24/196.46 apply (zenon_L115_); trivial. % 196.24/196.46 (* end of lemma zenon_L139_ *) % 196.24/196.46 assert (zenon_L140_ : (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((op1 (e10) (e12)) = (e11)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (e11) (e13)) = (e12)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (unit1) (e13)) = (e13)) -> ((op1 (unit1) (e10)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (unit1) (e12)) = (e12)) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> False). % 196.24/196.46 do 0 intro. intros zenon_H173 zenon_H178 zenon_H177 zenon_H17e zenon_H17f zenon_H111 zenon_H13a zenon_H132 zenon_H143 zenon_H14c zenon_H14b zenon_H11a zenon_H127 zenon_H172 zenon_H13b zenon_H10f zenon_H15b zenon_H105 zenon_H120 zenon_H121. % 196.24/196.46 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H110 | zenon_intro zenon_H174 ]. % 196.24/196.46 apply (zenon_L136_); trivial. % 196.24/196.46 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H12b | zenon_intro zenon_H175 ]. % 196.24/196.46 apply (zenon_L139_); trivial. % 196.24/196.46 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H140 | zenon_intro zenon_H15c ]. % 196.24/196.46 apply (zenon_L130_); trivial. % 196.24/196.46 apply (zenon_L133_); trivial. % 196.24/196.46 (* end of lemma zenon_L140_ *) % 196.24/196.46 assert (zenon_L141_ : (~((op1 (e12) (e10)) = (op1 (e12) (unit1)))) -> ((unit1) = (e10)) -> False). % 196.24/196.46 do 0 intro. intros zenon_H184 zenon_H102. % 196.24/196.46 cut (((e10) = (unit1))); [idtac | apply NNPP; zenon_intro zenon_H103]. % 196.24/196.46 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H100]. % 196.24/196.46 congruence. % 196.24/196.46 apply zenon_H100. apply refl_equal. % 196.24/196.46 apply zenon_H103. apply sym_equal. exact zenon_H102. % 196.24/196.46 (* end of lemma zenon_L141_ *) % 196.24/196.46 assert (zenon_L142_ : (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> ((unit1) = (e10)) -> ((op1 (e12) (e13)) = (e12)) -> False). % 196.24/196.46 do 0 intro. intros zenon_H185 zenon_H186 zenon_H102 zenon_H187. % 196.24/196.46 cut (((op1 (e12) (unit1)) = (e12)) = ((op1 (e12) (e10)) = (op1 (e12) (e13)))). % 196.24/196.46 intro zenon_D_pnotp. % 196.24/196.46 apply zenon_H185. % 196.24/196.46 rewrite <- zenon_D_pnotp. % 196.24/196.46 exact zenon_H186. % 196.24/196.46 cut (((e12) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H188]. % 196.24/196.46 cut (((op1 (e12) (unit1)) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H189]. % 196.24/196.46 congruence. % 196.24/196.46 elim (classic ((op1 (e12) (e10)) = (op1 (e12) (e10)))); [ zenon_intro zenon_H147 | zenon_intro zenon_H148 ]. % 196.24/196.46 cut (((op1 (e12) (e10)) = (op1 (e12) (e10))) = ((op1 (e12) (unit1)) = (op1 (e12) (e10)))). % 196.24/196.46 intro zenon_D_pnotp. % 196.24/196.46 apply zenon_H189. % 196.24/196.46 rewrite <- zenon_D_pnotp. % 196.24/196.46 exact zenon_H147. % 196.24/196.46 cut (((op1 (e12) (e10)) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H148]. % 196.24/196.46 cut (((op1 (e12) (e10)) = (op1 (e12) (unit1)))); [idtac | apply NNPP; zenon_intro zenon_H184]. % 196.24/196.46 congruence. % 196.24/196.46 apply (zenon_L141_); trivial. % 196.24/196.46 apply zenon_H148. apply refl_equal. % 196.24/196.46 apply zenon_H148. apply refl_equal. % 196.24/196.46 apply zenon_H188. apply sym_equal. exact zenon_H187. % 196.24/196.46 (* end of lemma zenon_L142_ *) % 196.24/196.46 assert (zenon_L143_ : (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> ((op1 (e12) (e13)) = (e12)) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e10)) = (e13)) -> ((op1 (e13) (unit1)) = (e13)) -> ((op1 (unit1) (e12)) = (e12)) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> False). % 196.24/196.46 do 0 intro. intros zenon_H127 zenon_H187 zenon_H186 zenon_H185 zenon_H111 zenon_H11a zenon_H110 zenon_H10f zenon_H105 zenon_H120 zenon_H121. % 196.24/196.46 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H102 | zenon_intro zenon_H128 ]. % 196.24/196.46 apply (zenon_L142_); trivial. % 196.24/196.46 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H10d | zenon_intro zenon_H129 ]. % 196.24/196.46 apply (zenon_L104_); trivial. % 196.24/196.46 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H118 | zenon_intro zenon_H11f ]. % 196.24/196.46 apply (zenon_L106_); trivial. % 196.24/196.46 apply (zenon_L107_); trivial. % 196.24/196.46 (* end of lemma zenon_L143_ *) % 196.24/196.46 assert (zenon_L144_ : (~((op1 (e12) (e11)) = (op1 (e12) (unit1)))) -> ((unit1) = (e11)) -> False). % 196.24/196.46 do 0 intro. intros zenon_H18a zenon_H10d. % 196.24/196.46 cut (((e11) = (unit1))); [idtac | apply NNPP; zenon_intro zenon_H10e]. % 196.24/196.46 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H100]. % 196.24/196.46 congruence. % 196.24/196.46 apply zenon_H100. apply refl_equal. % 196.24/196.46 apply zenon_H10e. apply sym_equal. exact zenon_H10d. % 196.24/196.46 (* end of lemma zenon_L144_ *) % 196.24/196.46 assert (zenon_L145_ : (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> ((unit1) = (e11)) -> ((op1 (e12) (e13)) = (e12)) -> False). % 196.24/196.46 do 0 intro. intros zenon_H18b zenon_H186 zenon_H10d zenon_H187. % 196.24/196.46 cut (((op1 (e12) (unit1)) = (e12)) = ((op1 (e12) (e11)) = (op1 (e12) (e13)))). % 196.24/196.46 intro zenon_D_pnotp. % 196.24/196.46 apply zenon_H18b. % 196.24/196.46 rewrite <- zenon_D_pnotp. % 196.24/196.46 exact zenon_H186. % 196.24/196.46 cut (((e12) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H188]. % 196.24/196.46 cut (((op1 (e12) (unit1)) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H18c]. % 196.24/196.46 congruence. % 196.24/196.46 elim (classic ((op1 (e12) (e11)) = (op1 (e12) (e11)))); [ zenon_intro zenon_H150 | zenon_intro zenon_H151 ]. % 196.24/196.46 cut (((op1 (e12) (e11)) = (op1 (e12) (e11))) = ((op1 (e12) (unit1)) = (op1 (e12) (e11)))). % 196.24/196.46 intro zenon_D_pnotp. % 196.24/196.46 apply zenon_H18c. % 196.24/196.46 rewrite <- zenon_D_pnotp. % 196.24/196.46 exact zenon_H150. % 196.24/196.46 cut (((op1 (e12) (e11)) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H151]. % 196.24/196.46 cut (((op1 (e12) (e11)) = (op1 (e12) (unit1)))); [idtac | apply NNPP; zenon_intro zenon_H18a]. % 196.24/196.46 congruence. % 196.24/196.46 apply (zenon_L144_); trivial. % 196.24/196.46 apply zenon_H151. apply refl_equal. % 196.24/196.46 apply zenon_H151. apply refl_equal. % 196.24/196.46 apply zenon_H188. apply sym_equal. exact zenon_H187. % 196.24/196.46 (* end of lemma zenon_L145_ *) % 196.24/196.46 assert (zenon_L146_ : (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e12) (e13)) = (e12)) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (e13) (e11)) = (e13)) -> ((op1 (e13) (unit1)) = (e13)) -> ((op1 (unit1) (e12)) = (e12)) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> False). % 196.24/196.46 do 0 intro. intros zenon_H127 zenon_H185 zenon_H187 zenon_H186 zenon_H18b zenon_H12b zenon_H10f zenon_H105 zenon_H120 zenon_H121. % 196.24/196.46 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H102 | zenon_intro zenon_H128 ]. % 196.24/196.46 apply (zenon_L142_); trivial. % 196.24/196.46 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H10d | zenon_intro zenon_H129 ]. % 196.24/196.46 apply (zenon_L145_); trivial. % 196.24/196.46 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H118 | zenon_intro zenon_H11f ]. % 196.24/196.46 apply (zenon_L113_); trivial. % 196.24/196.46 apply (zenon_L107_); trivial. % 196.24/196.46 (* end of lemma zenon_L146_ *) % 196.24/196.46 assert (zenon_L147_ : (~((op1 (e12) (e12)) = (op1 (unit1) (e12)))) -> ((unit1) = (e12)) -> False). % 196.24/196.46 do 0 intro. intros zenon_H18d zenon_H118. % 196.24/196.46 cut (((e12) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H100]. % 196.24/196.46 cut (((e12) = (unit1))); [idtac | apply NNPP; zenon_intro zenon_H119]. % 196.24/196.46 congruence. % 196.24/196.46 apply zenon_H119. apply sym_equal. exact zenon_H118. % 196.24/196.46 apply zenon_H100. apply refl_equal. % 196.24/196.46 (* end of lemma zenon_L147_ *) % 196.24/196.46 assert (zenon_L148_ : (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (e12) (e13)) = (e12)) -> ((op1 (unit1) (e12)) = (e12)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (unit1) (e13)) = (e13)) -> ((op1 (e13) (e12)) = (e13)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> False). % 196.24/196.46 do 0 intro. intros zenon_H127 zenon_H11a zenon_H10f zenon_H121 zenon_H187 zenon_H105 zenon_H18e zenon_H13a zenon_H140 zenon_H15b. % 196.24/196.46 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H102 | zenon_intro zenon_H128 ]. % 196.24/196.46 apply (zenon_L117_); trivial. % 196.24/196.46 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H10d | zenon_intro zenon_H129 ]. % 196.24/196.46 apply (zenon_L118_); trivial. % 196.24/196.46 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H118 | zenon_intro zenon_H11f ]. % 196.24/196.46 cut (((op1 (unit1) (e12)) = (e12)) = ((op1 (e12) (e12)) = (op1 (e12) (e13)))). % 196.24/196.46 intro zenon_D_pnotp. % 196.24/196.46 apply zenon_H18e. % 196.24/196.46 rewrite <- zenon_D_pnotp. % 196.24/196.46 exact zenon_H105. % 196.24/196.46 cut (((e12) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H188]. % 196.24/196.46 cut (((op1 (unit1) (e12)) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H18f]. % 196.24/196.46 congruence. % 196.24/196.46 elim (classic ((op1 (e12) (e12)) = (op1 (e12) (e12)))); [ zenon_intro zenon_H190 | zenon_intro zenon_H191 ]. % 196.24/196.46 cut (((op1 (e12) (e12)) = (op1 (e12) (e12))) = ((op1 (unit1) (e12)) = (op1 (e12) (e12)))). % 196.24/196.46 intro zenon_D_pnotp. % 196.24/196.46 apply zenon_H18f. % 196.24/196.46 rewrite <- zenon_D_pnotp. % 196.24/196.46 exact zenon_H190. % 196.24/196.46 cut (((op1 (e12) (e12)) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H191]. % 196.24/196.46 cut (((op1 (e12) (e12)) = (op1 (unit1) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H18d]. % 196.24/196.46 congruence. % 196.24/196.46 apply (zenon_L147_); trivial. % 196.24/196.46 apply zenon_H191. apply refl_equal. % 196.24/196.46 apply zenon_H191. apply refl_equal. % 196.24/196.46 apply zenon_H188. apply sym_equal. exact zenon_H187. % 196.24/196.46 apply (zenon_L129_); trivial. % 196.24/196.46 (* end of lemma zenon_L148_ *) % 196.24/196.46 assert (zenon_L149_ : (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (e12) (e13)) = (e12)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (unit1) (e12)) = (e12)) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> False). % 196.24/196.46 do 0 intro. intros zenon_H173 zenon_H111 zenon_H18b zenon_H186 zenon_H185 zenon_H13a zenon_H18e zenon_H187 zenon_H11a zenon_H127 zenon_H172 zenon_H13b zenon_H10f zenon_H15b zenon_H105 zenon_H120 zenon_H121. % 196.24/196.46 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H110 | zenon_intro zenon_H174 ]. % 196.24/196.46 apply (zenon_L143_); trivial. % 196.24/196.46 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H12b | zenon_intro zenon_H175 ]. % 196.24/196.46 apply (zenon_L146_); trivial. % 196.24/196.46 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H140 | zenon_intro zenon_H15c ]. % 196.24/196.46 apply (zenon_L148_); trivial. % 196.24/196.46 apply (zenon_L133_); trivial. % 196.24/196.46 (* end of lemma zenon_L149_ *) % 196.24/196.46 assert (zenon_L150_ : (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e10)) = (e10)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (e10) (e12)) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (unit1) (e12)) = (e12)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> False). % 196.24/196.46 do 0 intro. intros zenon_H192 zenon_H133 zenon_H131 zenon_H104 zenon_H14b zenon_H14c zenon_H143 zenon_H132 zenon_H17e zenon_H177 zenon_H178 zenon_H121 zenon_H105 zenon_H15b zenon_H10f zenon_H172 zenon_H127 zenon_H11a zenon_H18e zenon_H13a zenon_H185 zenon_H186 zenon_H18b zenon_H111 zenon_H173 zenon_H120 zenon_H13b. % 196.24/196.46 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H106 | zenon_intro zenon_H193 ]. % 196.24/196.46 apply (zenon_L134_); trivial. % 196.24/196.46 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H17f | zenon_intro zenon_H194 ]. % 196.24/196.46 apply (zenon_L140_); trivial. % 196.24/196.46 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H187 | zenon_intro zenon_H152 ]. % 196.24/196.46 apply (zenon_L149_); trivial. % 196.24/196.46 apply (zenon_L124_); trivial. % 196.24/196.46 (* end of lemma zenon_L150_ *) % 196.24/196.46 assert (zenon_L151_ : (~((op1 (e11) (e10)) = (op1 (e11) (unit1)))) -> ((unit1) = (e10)) -> False). % 196.24/196.46 do 0 intro. intros zenon_H195 zenon_H102. % 196.24/196.46 cut (((e10) = (unit1))); [idtac | apply NNPP; zenon_intro zenon_H103]. % 196.24/196.46 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H149]. % 196.24/196.46 congruence. % 196.24/196.46 apply zenon_H149. apply refl_equal. % 196.24/196.46 apply zenon_H103. apply sym_equal. exact zenon_H102. % 196.24/196.46 (* end of lemma zenon_L151_ *) % 196.24/196.46 assert (zenon_L152_ : (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((op1 (e11) (unit1)) = (e11)) -> ((unit1) = (e10)) -> ((op1 (e11) (e12)) = (e11)) -> False). % 196.24/196.46 do 0 intro. intros zenon_H196 zenon_H197 zenon_H102 zenon_H198. % 196.24/196.46 cut (((op1 (e11) (unit1)) = (e11)) = ((op1 (e11) (e10)) = (op1 (e11) (e12)))). % 196.24/196.46 intro zenon_D_pnotp. % 196.24/196.46 apply zenon_H196. % 196.24/196.46 rewrite <- zenon_D_pnotp. % 196.24/196.46 exact zenon_H197. % 196.24/196.46 cut (((e11) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H199]. % 196.24/196.46 cut (((op1 (e11) (unit1)) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H19a]. % 196.24/196.46 congruence. % 196.24/196.46 elim (classic ((op1 (e11) (e10)) = (op1 (e11) (e10)))); [ zenon_intro zenon_H136 | zenon_intro zenon_H137 ]. % 196.24/196.46 cut (((op1 (e11) (e10)) = (op1 (e11) (e10))) = ((op1 (e11) (unit1)) = (op1 (e11) (e10)))). % 196.24/196.46 intro zenon_D_pnotp. % 196.24/196.46 apply zenon_H19a. % 196.24/196.46 rewrite <- zenon_D_pnotp. % 196.24/196.46 exact zenon_H136. % 196.24/196.46 cut (((op1 (e11) (e10)) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H137]. % 196.24/196.46 cut (((op1 (e11) (e10)) = (op1 (e11) (unit1)))); [idtac | apply NNPP; zenon_intro zenon_H195]. % 196.24/196.46 congruence. % 196.24/196.46 apply (zenon_L151_); trivial. % 196.24/196.46 apply zenon_H137. apply refl_equal. % 196.24/196.46 apply zenon_H137. apply refl_equal. % 196.24/196.46 apply zenon_H199. apply sym_equal. exact zenon_H198. % 196.24/196.46 (* end of lemma zenon_L152_ *) % 196.24/196.46 assert (zenon_L153_ : (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> ((op1 (e11) (e12)) = (e11)) -> ((op1 (e11) (unit1)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e10)) = (e13)) -> ((op1 (e13) (unit1)) = (e13)) -> ((op1 (unit1) (e12)) = (e12)) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> False). % 196.24/196.46 do 0 intro. intros zenon_H127 zenon_H198 zenon_H197 zenon_H196 zenon_H111 zenon_H11a zenon_H110 zenon_H10f zenon_H105 zenon_H120 zenon_H121. % 196.24/196.46 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H102 | zenon_intro zenon_H128 ]. % 196.24/196.46 apply (zenon_L152_); trivial. % 196.24/196.46 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H10d | zenon_intro zenon_H129 ]. % 196.24/196.46 apply (zenon_L104_); trivial. % 196.24/196.46 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H118 | zenon_intro zenon_H11f ]. % 196.24/196.46 apply (zenon_L106_); trivial. % 196.24/196.46 apply (zenon_L107_); trivial. % 196.24/196.46 (* end of lemma zenon_L153_ *) % 196.24/196.46 assert (zenon_L154_ : (~((op1 (e11) (e11)) = (op1 (unit1) (e11)))) -> ((unit1) = (e11)) -> False). % 196.24/196.46 do 0 intro. intros zenon_H19b zenon_H10d. % 196.24/196.46 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H149]. % 196.24/196.46 cut (((e11) = (unit1))); [idtac | apply NNPP; zenon_intro zenon_H10e]. % 196.24/196.46 congruence. % 196.24/196.46 apply zenon_H10e. apply sym_equal. exact zenon_H10d. % 196.24/196.46 apply zenon_H149. apply refl_equal. % 196.24/196.46 (* end of lemma zenon_L154_ *) % 196.24/196.46 assert (zenon_L155_ : (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> ((unit1) = (e11)) -> ((op1 (e11) (e12)) = (e11)) -> False). % 196.24/196.46 do 0 intro. intros zenon_H19c zenon_H14c zenon_H10d zenon_H198. % 196.24/196.46 cut (((op1 (unit1) (e11)) = (e11)) = ((op1 (e11) (e11)) = (op1 (e11) (e12)))). % 196.24/196.46 intro zenon_D_pnotp. % 196.24/196.46 apply zenon_H19c. % 196.24/196.46 rewrite <- zenon_D_pnotp. % 196.24/196.46 exact zenon_H14c. % 196.24/196.46 cut (((e11) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H199]. % 196.24/196.46 cut (((op1 (unit1) (e11)) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H19d]. % 196.24/196.46 congruence. % 196.24/196.46 elim (classic ((op1 (e11) (e11)) = (op1 (e11) (e11)))); [ zenon_intro zenon_H19e | zenon_intro zenon_H19f ]. % 196.24/196.46 cut (((op1 (e11) (e11)) = (op1 (e11) (e11))) = ((op1 (unit1) (e11)) = (op1 (e11) (e11)))). % 196.24/196.46 intro zenon_D_pnotp. % 196.24/196.46 apply zenon_H19d. % 196.24/196.46 rewrite <- zenon_D_pnotp. % 196.24/196.46 exact zenon_H19e. % 196.24/196.46 cut (((op1 (e11) (e11)) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H19f]. % 196.24/196.46 cut (((op1 (e11) (e11)) = (op1 (unit1) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H19b]. % 196.24/196.46 congruence. % 196.24/196.46 apply (zenon_L154_); trivial. % 196.24/196.46 apply zenon_H19f. apply refl_equal. % 196.24/196.46 apply zenon_H19f. apply refl_equal. % 196.24/196.46 apply zenon_H199. apply sym_equal. exact zenon_H198. % 196.24/196.46 (* end of lemma zenon_L155_ *) % 196.24/196.46 assert (zenon_L156_ : ((op1 (unit1) (e12)) = (e12)) -> ((unit1) = (e12)) -> ((op1 (e12) (e10)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> False). % 196.24/196.46 do 0 intro. intros zenon_H105 zenon_H118 zenon_H1a0 zenon_H143. % 196.24/196.46 elim (classic ((op1 (e12) (e12)) = (op1 (e12) (e12)))); [ zenon_intro zenon_H190 | zenon_intro zenon_H191 ]. % 196.24/196.46 cut (((op1 (e12) (e12)) = (op1 (e12) (e12))) = ((op1 (e12) (e10)) = (op1 (e12) (e12)))). % 196.24/196.46 intro zenon_D_pnotp. % 196.24/196.46 apply zenon_H143. % 196.24/196.46 rewrite <- zenon_D_pnotp. % 196.24/196.46 exact zenon_H190. % 196.24/196.46 cut (((op1 (e12) (e12)) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H191]. % 196.24/196.46 cut (((op1 (e12) (e12)) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H1a1]. % 196.24/196.46 congruence. % 196.24/196.46 cut (((op1 (unit1) (e12)) = (e12)) = ((op1 (e12) (e12)) = (op1 (e12) (e10)))). % 196.24/196.46 intro zenon_D_pnotp. % 196.24/196.46 apply zenon_H1a1. % 196.24/196.46 rewrite <- zenon_D_pnotp. % 196.24/196.46 exact zenon_H105. % 196.24/196.46 cut (((e12) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H1a2]. % 196.24/196.46 cut (((op1 (unit1) (e12)) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H18f]. % 196.24/196.46 congruence. % 196.24/196.46 elim (classic ((op1 (e12) (e12)) = (op1 (e12) (e12)))); [ zenon_intro zenon_H190 | zenon_intro zenon_H191 ]. % 196.24/196.46 cut (((op1 (e12) (e12)) = (op1 (e12) (e12))) = ((op1 (unit1) (e12)) = (op1 (e12) (e12)))). % 196.24/196.46 intro zenon_D_pnotp. % 196.24/196.46 apply zenon_H18f. % 196.24/196.46 rewrite <- zenon_D_pnotp. % 196.24/196.46 exact zenon_H190. % 196.24/196.46 cut (((op1 (e12) (e12)) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H191]. % 196.24/196.46 cut (((op1 (e12) (e12)) = (op1 (unit1) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H18d]. % 196.24/196.46 congruence. % 196.24/196.46 apply (zenon_L147_); trivial. % 196.24/196.46 apply zenon_H191. apply refl_equal. % 196.24/196.46 apply zenon_H191. apply refl_equal. % 196.24/196.46 apply zenon_H1a2. apply sym_equal. exact zenon_H1a0. % 196.24/196.46 apply zenon_H191. apply refl_equal. % 196.24/196.46 apply zenon_H191. apply refl_equal. % 196.24/196.46 (* end of lemma zenon_L156_ *) % 196.24/196.46 assert (zenon_L157_ : (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> ((op1 (e11) (unit1)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((op1 (e11) (e12)) = (e11)) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (e12) (e10)) = (e12)) -> ((op1 (unit1) (e12)) = (e12)) -> ((op1 (unit1) (e13)) = (e13)) -> ((op1 (e13) (e11)) = (e13)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> False). % 196.24/196.46 do 0 intro. intros zenon_H127 zenon_H197 zenon_H196 zenon_H198 zenon_H14c zenon_H19c zenon_H143 zenon_H1a0 zenon_H105 zenon_H13a zenon_H12b zenon_H13b. % 196.24/196.46 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H102 | zenon_intro zenon_H128 ]. % 196.24/196.46 apply (zenon_L152_); trivial. % 196.24/196.46 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H10d | zenon_intro zenon_H129 ]. % 196.24/196.46 apply (zenon_L155_); trivial. % 196.24/196.46 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H118 | zenon_intro zenon_H11f ]. % 196.24/196.46 apply (zenon_L156_); trivial. % 196.24/196.46 apply (zenon_L115_); trivial. % 196.24/196.46 (* end of lemma zenon_L157_ *) % 196.24/196.46 assert (zenon_L158_ : (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e12) (e10)) = (e12)) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> ((op1 (e11) (e12)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((op1 (e11) (unit1)) = (e11)) -> ((op1 (unit1) (e13)) = (e13)) -> ((op1 (unit1) (e10)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (unit1) (e12)) = (e12)) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> False). % 196.24/196.46 do 0 intro. intros zenon_H173 zenon_H111 zenon_H1a0 zenon_H19c zenon_H198 zenon_H196 zenon_H197 zenon_H13a zenon_H132 zenon_H143 zenon_H14c zenon_H14b zenon_H11a zenon_H127 zenon_H172 zenon_H13b zenon_H10f zenon_H15b zenon_H105 zenon_H120 zenon_H121. % 196.24/196.46 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H110 | zenon_intro zenon_H174 ]. % 196.24/196.46 apply (zenon_L153_); trivial. % 196.24/196.46 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H12b | zenon_intro zenon_H175 ]. % 196.24/196.46 apply (zenon_L157_); trivial. % 196.24/196.46 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H140 | zenon_intro zenon_H15c ]. % 196.24/196.46 apply (zenon_L130_); trivial. % 196.24/196.46 apply (zenon_L133_); trivial. % 196.24/196.46 (* end of lemma zenon_L158_ *) % 196.24/196.46 assert (zenon_L159_ : (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((op1 (e12) (unit1)) = (e12)) -> ((unit1) = (e10)) -> ((op1 (e12) (e11)) = (e12)) -> False). % 196.24/196.46 do 0 intro. intros zenon_H1a3 zenon_H186 zenon_H102 zenon_H1a4. % 196.24/196.46 cut (((op1 (e12) (unit1)) = (e12)) = ((op1 (e12) (e10)) = (op1 (e12) (e11)))). % 196.24/196.46 intro zenon_D_pnotp. % 196.24/196.46 apply zenon_H1a3. % 196.24/196.46 rewrite <- zenon_D_pnotp. % 196.24/196.46 exact zenon_H186. % 196.24/196.46 cut (((e12) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H1a5]. % 196.24/196.46 cut (((op1 (e12) (unit1)) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H189]. % 196.24/196.46 congruence. % 196.24/196.46 elim (classic ((op1 (e12) (e10)) = (op1 (e12) (e10)))); [ zenon_intro zenon_H147 | zenon_intro zenon_H148 ]. % 196.24/196.46 cut (((op1 (e12) (e10)) = (op1 (e12) (e10))) = ((op1 (e12) (unit1)) = (op1 (e12) (e10)))). % 196.24/196.46 intro zenon_D_pnotp. % 196.24/196.46 apply zenon_H189. % 196.24/196.46 rewrite <- zenon_D_pnotp. % 196.24/196.46 exact zenon_H147. % 196.24/196.46 cut (((op1 (e12) (e10)) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H148]. % 196.24/196.46 cut (((op1 (e12) (e10)) = (op1 (e12) (unit1)))); [idtac | apply NNPP; zenon_intro zenon_H184]. % 196.24/196.46 congruence. % 196.24/196.46 apply (zenon_L141_); trivial. % 196.24/196.46 apply zenon_H148. apply refl_equal. % 196.24/196.46 apply zenon_H148. apply refl_equal. % 196.24/196.46 apply zenon_H1a5. apply sym_equal. exact zenon_H1a4. % 196.24/196.46 (* end of lemma zenon_L159_ *) % 196.24/196.46 assert (zenon_L160_ : (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> ((op1 (e12) (e11)) = (e12)) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e10)) = (e13)) -> ((op1 (e13) (unit1)) = (e13)) -> ((op1 (unit1) (e12)) = (e12)) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> False). % 196.24/196.46 do 0 intro. intros zenon_H127 zenon_H1a4 zenon_H186 zenon_H1a3 zenon_H111 zenon_H11a zenon_H110 zenon_H10f zenon_H105 zenon_H120 zenon_H121. % 196.24/196.46 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H102 | zenon_intro zenon_H128 ]. % 196.24/196.46 apply (zenon_L159_); trivial. % 196.24/196.46 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H10d | zenon_intro zenon_H129 ]. % 196.24/196.46 apply (zenon_L104_); trivial. % 196.24/196.46 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H118 | zenon_intro zenon_H11f ]. % 196.24/196.46 apply (zenon_L106_); trivial. % 196.24/196.46 apply (zenon_L107_); trivial. % 196.24/196.46 (* end of lemma zenon_L160_ *) % 196.24/196.46 assert (zenon_L161_ : (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((op1 (e12) (unit1)) = (e12)) -> ((op1 (e12) (e11)) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (e11) (e13)) = (e12)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (unit1) (e13)) = (e13)) -> ((op1 (unit1) (e10)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (unit1) (e12)) = (e12)) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> False). % 196.24/196.46 do 0 intro. intros zenon_H173 zenon_H1a3 zenon_H186 zenon_H1a4 zenon_H17e zenon_H17f zenon_H111 zenon_H13a zenon_H132 zenon_H143 zenon_H14c zenon_H14b zenon_H11a zenon_H127 zenon_H172 zenon_H13b zenon_H10f zenon_H15b zenon_H105 zenon_H120 zenon_H121. % 196.24/196.46 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H110 | zenon_intro zenon_H174 ]. % 196.24/196.46 apply (zenon_L160_); trivial. % 196.24/196.46 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H12b | zenon_intro zenon_H175 ]. % 196.24/196.46 apply (zenon_L139_); trivial. % 196.24/196.46 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H140 | zenon_intro zenon_H15c ]. % 196.24/196.46 apply (zenon_L130_); trivial. % 196.24/196.46 apply (zenon_L133_); trivial. % 196.24/196.46 (* end of lemma zenon_L161_ *) % 196.24/196.46 assert (zenon_L162_ : (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e10)) = (e10)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (e12) (e11)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (unit1) (e12)) = (e12)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> False). % 196.24/196.46 do 0 intro. intros zenon_H192 zenon_H133 zenon_H131 zenon_H104 zenon_H14b zenon_H14c zenon_H143 zenon_H132 zenon_H17e zenon_H1a4 zenon_H1a3 zenon_H121 zenon_H105 zenon_H15b zenon_H10f zenon_H172 zenon_H127 zenon_H11a zenon_H18e zenon_H13a zenon_H185 zenon_H186 zenon_H18b zenon_H111 zenon_H173 zenon_H120 zenon_H13b. % 196.24/196.46 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H106 | zenon_intro zenon_H193 ]. % 196.24/196.46 apply (zenon_L134_); trivial. % 196.24/196.46 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H17f | zenon_intro zenon_H194 ]. % 196.24/196.46 apply (zenon_L161_); trivial. % 196.24/196.46 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H187 | zenon_intro zenon_H152 ]. % 196.24/196.46 apply (zenon_L149_); trivial. % 196.24/196.46 apply (zenon_L124_); trivial. % 196.24/196.46 (* end of lemma zenon_L162_ *) % 196.24/196.46 assert (zenon_L163_ : (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (e12) (unit1)) = (e12)) -> ((unit1) = (e10)) -> ((op1 (e12) (e12)) = (e12)) -> False). % 196.24/196.46 do 0 intro. intros zenon_H143 zenon_H186 zenon_H102 zenon_H15a. % 196.24/196.46 cut (((op1 (e12) (unit1)) = (e12)) = ((op1 (e12) (e10)) = (op1 (e12) (e12)))). % 196.24/196.46 intro zenon_D_pnotp. % 196.24/196.46 apply zenon_H143. % 196.24/196.46 rewrite <- zenon_D_pnotp. % 196.24/196.46 exact zenon_H186. % 196.24/196.46 cut (((e12) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H1a6]. % 196.24/196.46 cut (((op1 (e12) (unit1)) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H189]. % 196.24/196.46 congruence. % 196.24/196.46 elim (classic ((op1 (e12) (e10)) = (op1 (e12) (e10)))); [ zenon_intro zenon_H147 | zenon_intro zenon_H148 ]. % 196.24/196.46 cut (((op1 (e12) (e10)) = (op1 (e12) (e10))) = ((op1 (e12) (unit1)) = (op1 (e12) (e10)))). % 196.24/196.46 intro zenon_D_pnotp. % 196.24/196.46 apply zenon_H189. % 196.24/196.46 rewrite <- zenon_D_pnotp. % 196.24/196.46 exact zenon_H147. % 196.24/196.46 cut (((op1 (e12) (e10)) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H148]. % 196.24/196.46 cut (((op1 (e12) (e10)) = (op1 (e12) (unit1)))); [idtac | apply NNPP; zenon_intro zenon_H184]. % 196.24/196.46 congruence. % 196.24/196.46 apply (zenon_L141_); trivial. % 196.24/196.46 apply zenon_H148. apply refl_equal. % 196.24/196.46 apply zenon_H148. apply refl_equal. % 196.24/196.46 apply zenon_H1a6. apply sym_equal. exact zenon_H15a. % 196.24/196.46 (* end of lemma zenon_L163_ *) % 196.24/196.46 assert (zenon_L164_ : (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> ((op1 (e12) (e12)) = (e12)) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e10)) = (e13)) -> ((op1 (e13) (unit1)) = (e13)) -> ((op1 (unit1) (e12)) = (e12)) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> False). % 196.24/196.46 do 0 intro. intros zenon_H127 zenon_H15a zenon_H186 zenon_H143 zenon_H111 zenon_H11a zenon_H110 zenon_H10f zenon_H105 zenon_H120 zenon_H121. % 196.24/196.46 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H102 | zenon_intro zenon_H128 ]. % 196.24/196.46 apply (zenon_L163_); trivial. % 196.24/196.46 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H10d | zenon_intro zenon_H129 ]. % 196.24/196.46 apply (zenon_L104_); trivial. % 196.24/196.46 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H118 | zenon_intro zenon_H11f ]. % 196.24/196.46 apply (zenon_L106_); trivial. % 196.24/196.46 apply (zenon_L107_); trivial. % 196.24/196.46 (* end of lemma zenon_L164_ *) % 196.24/196.46 assert (zenon_L165_ : (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((op1 (e12) (unit1)) = (e12)) -> ((op1 (e12) (e12)) = (e12)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (unit1) (e13)) = (e13)) -> ((op1 (unit1) (e10)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (unit1) (e12)) = (e12)) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> False). % 196.24/196.46 do 0 intro. intros zenon_H173 zenon_H186 zenon_H15a zenon_H131 zenon_H133 zenon_H111 zenon_H13a zenon_H132 zenon_H143 zenon_H14c zenon_H14b zenon_H11a zenon_H127 zenon_H172 zenon_H13b zenon_H10f zenon_H15b zenon_H105 zenon_H120 zenon_H121. % 196.24/196.46 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H110 | zenon_intro zenon_H174 ]. % 196.24/196.46 apply (zenon_L164_); trivial. % 196.24/196.46 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H12b | zenon_intro zenon_H175 ]. % 196.24/196.46 apply (zenon_L116_); trivial. % 196.24/196.46 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H140 | zenon_intro zenon_H15c ]. % 196.24/196.46 apply (zenon_L130_); trivial. % 196.24/196.46 apply (zenon_L133_); trivial. % 196.24/196.46 (* end of lemma zenon_L165_ *) % 196.24/196.46 assert (zenon_L166_ : (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((op1 (e11) (unit1)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((op1 (e11) (e12)) = (e11)) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e10)) = (e10)) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (unit1) (e12)) = (e12)) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> False). % 196.24/196.46 do 0 intro. intros zenon_H1a7 zenon_H197 zenon_H196 zenon_H198 zenon_H19c zenon_H1a3 zenon_H17e zenon_H104 zenon_H192 zenon_H14b zenon_H14c zenon_H143 zenon_H132 zenon_H133 zenon_H131 zenon_H173 zenon_H111 zenon_H18b zenon_H186 zenon_H185 zenon_H13a zenon_H18e zenon_H11a zenon_H127 zenon_H172 zenon_H13b zenon_H10f zenon_H15b zenon_H105 zenon_H120 zenon_H121. % 196.24/196.46 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H1a0 | zenon_intro zenon_H1a8 ]. % 196.24/196.46 apply (zenon_L158_); trivial. % 196.24/196.46 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H1a4 | zenon_intro zenon_H1a9 ]. % 196.24/196.46 apply (zenon_L162_); trivial. % 196.24/196.46 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_H15a | zenon_intro zenon_H187 ]. % 196.24/196.46 apply (zenon_L165_); trivial. % 196.24/196.46 apply (zenon_L149_); trivial. % 196.24/196.46 (* end of lemma zenon_L166_ *) % 196.24/196.46 assert (zenon_L167_ : (~((op1 (e10) (e10)) = (op1 (unit1) (e10)))) -> ((unit1) = (e10)) -> False). % 196.24/196.46 do 0 intro. intros zenon_H1aa zenon_H102. % 196.24/196.46 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H130]. % 196.24/196.46 cut (((e10) = (unit1))); [idtac | apply NNPP; zenon_intro zenon_H103]. % 196.24/196.46 congruence. % 196.24/196.46 apply zenon_H103. apply sym_equal. exact zenon_H102. % 196.24/196.46 apply zenon_H130. apply refl_equal. % 196.24/196.46 (* end of lemma zenon_L167_ *) % 196.24/196.46 assert (zenon_L168_ : (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (unit1) (e10)) = (e10)) -> ((unit1) = (e10)) -> ((op1 (e10) (e11)) = (e10)) -> False). % 196.24/196.46 do 0 intro. intros zenon_H1ab zenon_H132 zenon_H102 zenon_H1ac. % 196.24/196.46 cut (((op1 (unit1) (e10)) = (e10)) = ((op1 (e10) (e10)) = (op1 (e10) (e11)))). % 196.24/196.46 intro zenon_D_pnotp. % 196.24/196.46 apply zenon_H1ab. % 196.24/196.46 rewrite <- zenon_D_pnotp. % 196.24/196.46 exact zenon_H132. % 196.24/196.46 cut (((e10) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H1ad]. % 196.24/196.46 cut (((op1 (unit1) (e10)) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H1ae]. % 196.24/196.46 congruence. % 196.24/196.46 elim (classic ((op1 (e10) (e10)) = (op1 (e10) (e10)))); [ zenon_intro zenon_H1af | zenon_intro zenon_H1b0 ]. % 196.24/196.46 cut (((op1 (e10) (e10)) = (op1 (e10) (e10))) = ((op1 (unit1) (e10)) = (op1 (e10) (e10)))). % 196.24/196.46 intro zenon_D_pnotp. % 196.24/196.46 apply zenon_H1ae. % 196.24/196.46 rewrite <- zenon_D_pnotp. % 196.24/196.46 exact zenon_H1af. % 196.24/196.46 cut (((op1 (e10) (e10)) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H1b0]. % 196.24/196.46 cut (((op1 (e10) (e10)) = (op1 (unit1) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H1aa]. % 196.24/196.46 congruence. % 196.24/196.46 apply (zenon_L167_); trivial. % 196.24/196.46 apply zenon_H1b0. apply refl_equal. % 196.24/196.46 apply zenon_H1b0. apply refl_equal. % 196.24/196.46 apply zenon_H1ad. apply sym_equal. exact zenon_H1ac. % 196.24/196.46 (* end of lemma zenon_L168_ *) % 196.24/196.46 assert (zenon_L169_ : (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> ((op1 (e10) (e11)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> ((op1 (unit1) (e10)) = (e10)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((op1 (e12) (e12)) = (e11)) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e12)) = (e12)) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> False). % 196.24/196.46 do 0 intro. intros zenon_H127 zenon_H1ac zenon_H1ab zenon_H133 zenon_H132 zenon_H131 zenon_H14d zenon_H14c zenon_H14b zenon_H105 zenon_H120 zenon_H121. % 196.24/196.46 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H102 | zenon_intro zenon_H128 ]. % 196.24/196.46 apply (zenon_L168_); trivial. % 196.24/196.46 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H10d | zenon_intro zenon_H129 ]. % 196.24/196.46 apply (zenon_L112_); trivial. % 196.24/196.46 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H118 | zenon_intro zenon_H11f ]. % 196.24/196.46 apply (zenon_L123_); trivial. % 196.24/196.46 apply (zenon_L107_); trivial. % 196.24/196.46 (* end of lemma zenon_L169_ *) % 196.24/196.46 assert (zenon_L170_ : (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> ((unit1) = (e13)) -> ((op1 (e13) (e12)) = (e11)) -> False). % 196.24/196.46 do 0 intro. intros zenon_H121 zenon_H14c zenon_H11f zenon_H1b1. % 196.24/196.46 cut (((op1 (unit1) (e11)) = (e11)) = ((op1 (e13) (e11)) = (op1 (e13) (e12)))). % 196.24/196.46 intro zenon_D_pnotp. % 196.24/196.46 apply zenon_H121. % 196.24/196.46 rewrite <- zenon_D_pnotp. % 196.24/196.46 exact zenon_H14c. % 196.24/196.46 cut (((e11) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H1b2]. % 196.24/196.46 cut (((op1 (unit1) (e11)) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H1b3]. % 196.24/196.46 congruence. % 196.24/196.46 elim (classic ((op1 (e13) (e11)) = (op1 (e13) (e11)))); [ zenon_intro zenon_H112 | zenon_intro zenon_H113 ]. % 196.24/196.46 cut (((op1 (e13) (e11)) = (op1 (e13) (e11))) = ((op1 (unit1) (e11)) = (op1 (e13) (e11)))). % 196.24/196.46 intro zenon_D_pnotp. % 196.24/196.46 apply zenon_H1b3. % 196.24/196.46 rewrite <- zenon_D_pnotp. % 196.24/196.46 exact zenon_H112. % 196.24/196.46 cut (((op1 (e13) (e11)) = (op1 (e13) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H113]. % 196.24/196.46 cut (((op1 (e13) (e11)) = (op1 (unit1) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H1b4]. % 196.24/196.46 congruence. % 196.24/196.46 cut (((e11) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H149]. % 196.24/196.46 cut (((e13) = (unit1))); [idtac | apply NNPP; zenon_intro zenon_H126]. % 196.24/196.46 congruence. % 196.24/196.46 apply zenon_H126. apply sym_equal. exact zenon_H11f. % 196.24/196.46 apply zenon_H149. apply refl_equal. % 196.24/196.46 apply zenon_H113. apply refl_equal. % 196.24/196.46 apply zenon_H113. apply refl_equal. % 196.24/196.46 apply zenon_H1b2. apply sym_equal. exact zenon_H1b1. % 196.24/196.46 (* end of lemma zenon_L170_ *) % 196.24/196.46 assert (zenon_L171_ : (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> ((op1 (e10) (e11)) = (e10)) -> ((op1 (unit1) (e10)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e13) (e10)) = (e13)) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (e12) (e10)) = (e12)) -> ((op1 (unit1) (e12)) = (e12)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> ((op1 (e13) (e12)) = (e11)) -> False). % 196.24/196.46 do 0 intro. intros zenon_H127 zenon_H1ac zenon_H132 zenon_H1ab zenon_H111 zenon_H110 zenon_H10f zenon_H143 zenon_H1a0 zenon_H105 zenon_H121 zenon_H14c zenon_H1b1. % 196.24/196.46 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H102 | zenon_intro zenon_H128 ]. % 196.24/196.46 apply (zenon_L168_); trivial. % 196.24/196.46 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H10d | zenon_intro zenon_H129 ]. % 196.24/196.46 apply (zenon_L104_); trivial. % 196.24/196.46 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H118 | zenon_intro zenon_H11f ]. % 196.24/196.46 apply (zenon_L156_); trivial. % 196.24/196.46 apply (zenon_L170_); trivial. % 196.24/196.46 (* end of lemma zenon_L171_ *) % 196.24/196.46 assert (zenon_L172_ : (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e11) (e13)) = (e12)) -> ((op1 (unit1) (e12)) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (e13) (e11)) = (e13)) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> ((op1 (e13) (e12)) = (e11)) -> False). % 196.24/196.46 do 0 intro. intros zenon_H127 zenon_H111 zenon_H17f zenon_H105 zenon_H17e zenon_H12b zenon_H10f zenon_H121 zenon_H14c zenon_H1b1. % 196.24/196.46 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H102 | zenon_intro zenon_H128 ]. % 196.24/196.46 apply (zenon_L110_); trivial. % 196.24/196.46 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H10d | zenon_intro zenon_H129 ]. % 196.24/196.46 apply (zenon_L138_); trivial. % 196.24/196.46 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H118 | zenon_intro zenon_H11f ]. % 196.24/196.46 apply (zenon_L113_); trivial. % 196.24/196.46 apply (zenon_L170_); trivial. % 196.24/196.46 (* end of lemma zenon_L172_ *) % 196.24/196.46 assert (zenon_L173_ : (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((op1 (e12) (e10)) = (e12)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (e10) (e11)) = (e10)) -> ((op1 (e13) (e12)) = (e11)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (e11) (e13)) = (e12)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (unit1) (e13)) = (e13)) -> ((op1 (unit1) (e10)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (unit1) (e12)) = (e12)) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> False). % 196.24/196.46 do 0 intro. intros zenon_H173 zenon_H1a0 zenon_H1ab zenon_H1ac zenon_H1b1 zenon_H17e zenon_H17f zenon_H111 zenon_H13a zenon_H132 zenon_H143 zenon_H14c zenon_H14b zenon_H11a zenon_H127 zenon_H172 zenon_H13b zenon_H10f zenon_H15b zenon_H105 zenon_H120 zenon_H121. % 196.24/196.46 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H110 | zenon_intro zenon_H174 ]. % 196.24/196.46 apply (zenon_L171_); trivial. % 196.24/196.46 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H12b | zenon_intro zenon_H175 ]. % 196.24/196.46 apply (zenon_L172_); trivial. % 196.24/196.46 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H140 | zenon_intro zenon_H15c ]. % 196.24/196.46 apply (zenon_L130_); trivial. % 196.24/196.46 apply (zenon_L133_); trivial. % 196.24/196.46 (* end of lemma zenon_L173_ *) % 196.24/196.46 assert (zenon_L174_ : (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((op1 (e11) (unit1)) = (e11)) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (e10) (e11)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e10)) = (e10)) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (unit1) (e12)) = (e12)) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> False). % 196.24/196.46 do 0 intro. intros zenon_H1b5 zenon_H178 zenon_H19c zenon_H196 zenon_H197 zenon_H1a7 zenon_H1ab zenon_H1ac zenon_H1a3 zenon_H17e zenon_H104 zenon_H192 zenon_H14b zenon_H14c zenon_H143 zenon_H132 zenon_H133 zenon_H131 zenon_H173 zenon_H111 zenon_H18b zenon_H186 zenon_H185 zenon_H13a zenon_H18e zenon_H11a zenon_H127 zenon_H172 zenon_H13b zenon_H10f zenon_H15b zenon_H105 zenon_H120 zenon_H121. % 196.24/196.46 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H177 | zenon_intro zenon_H1b6 ]. % 196.24/196.46 apply (zenon_L150_); trivial. % 196.24/196.46 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H198 | zenon_intro zenon_H1b7 ]. % 196.24/196.46 apply (zenon_L166_); trivial. % 196.24/196.46 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H14d | zenon_intro zenon_H1b1 ]. % 196.24/196.46 apply (zenon_L169_); trivial. % 196.24/196.46 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H1a0 | zenon_intro zenon_H1a8 ]. % 196.24/196.46 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H106 | zenon_intro zenon_H193 ]. % 196.24/196.46 apply (zenon_L134_); trivial. % 196.24/196.46 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H17f | zenon_intro zenon_H194 ]. % 196.24/196.46 apply (zenon_L173_); trivial. % 196.24/196.46 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H187 | zenon_intro zenon_H152 ]. % 196.24/196.46 apply (zenon_L149_); trivial. % 196.24/196.46 apply (zenon_L124_); trivial. % 196.24/196.46 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H1a4 | zenon_intro zenon_H1a9 ]. % 196.24/196.46 apply (zenon_L162_); trivial. % 196.24/196.46 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_H15a | zenon_intro zenon_H187 ]. % 196.24/196.46 apply (zenon_L165_); trivial. % 196.24/196.46 apply (zenon_L149_); trivial. % 196.24/196.46 (* end of lemma zenon_L174_ *) % 196.24/196.46 assert (zenon_L175_ : (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> ((op1 (unit1) (e10)) = (e10)) -> ((unit1) = (e10)) -> ((op1 (e10) (e12)) = (e10)) -> False). % 196.24/196.46 do 0 intro. intros zenon_H1b8 zenon_H132 zenon_H102 zenon_H1b9. % 196.24/196.46 cut (((op1 (unit1) (e10)) = (e10)) = ((op1 (e10) (e10)) = (op1 (e10) (e12)))). % 196.24/196.46 intro zenon_D_pnotp. % 196.24/196.46 apply zenon_H1b8. % 196.24/196.46 rewrite <- zenon_D_pnotp. % 196.24/196.46 exact zenon_H132. % 196.24/196.46 cut (((e10) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H1ba]. % 196.24/196.46 cut (((op1 (unit1) (e10)) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H1ae]. % 196.24/196.46 congruence. % 196.24/196.46 elim (classic ((op1 (e10) (e10)) = (op1 (e10) (e10)))); [ zenon_intro zenon_H1af | zenon_intro zenon_H1b0 ]. % 196.24/196.46 cut (((op1 (e10) (e10)) = (op1 (e10) (e10))) = ((op1 (unit1) (e10)) = (op1 (e10) (e10)))). % 196.24/196.46 intro zenon_D_pnotp. % 196.24/196.46 apply zenon_H1ae. % 196.24/196.46 rewrite <- zenon_D_pnotp. % 196.24/196.46 exact zenon_H1af. % 196.24/196.46 cut (((op1 (e10) (e10)) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H1b0]. % 196.24/196.46 cut (((op1 (e10) (e10)) = (op1 (unit1) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H1aa]. % 196.24/196.46 congruence. % 196.24/196.46 apply (zenon_L167_); trivial. % 196.24/196.46 apply zenon_H1b0. apply refl_equal. % 196.24/196.46 apply zenon_H1b0. apply refl_equal. % 196.24/196.46 apply zenon_H1ba. apply sym_equal. exact zenon_H1b9. % 196.24/196.46 (* end of lemma zenon_L175_ *) % 196.24/196.46 assert (zenon_L176_ : (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> ((op1 (e10) (e12)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> ((e10) = (op1 (e11) (e11))) -> ((op1 (unit1) (e10)) = (e10)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((op1 (e12) (e12)) = (e11)) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e12)) = (e12)) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> False). % 196.24/196.46 do 0 intro. intros zenon_H127 zenon_H1b9 zenon_H1b8 zenon_H133 zenon_H132 zenon_H131 zenon_H14d zenon_H14c zenon_H14b zenon_H105 zenon_H120 zenon_H121. % 196.24/196.46 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H102 | zenon_intro zenon_H128 ]. % 196.24/196.46 apply (zenon_L175_); trivial. % 196.24/196.46 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H10d | zenon_intro zenon_H129 ]. % 196.24/196.46 apply (zenon_L112_); trivial. % 196.24/196.46 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H118 | zenon_intro zenon_H11f ]. % 196.24/196.46 apply (zenon_L123_); trivial. % 196.24/196.46 apply (zenon_L107_); trivial. % 196.24/196.46 (* end of lemma zenon_L176_ *) % 196.24/196.46 assert (zenon_L177_ : (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> ((op1 (e10) (e12)) = (e10)) -> ((op1 (unit1) (e10)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e13) (e10)) = (e13)) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (e12) (e10)) = (e12)) -> ((op1 (unit1) (e12)) = (e12)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> ((op1 (e13) (e12)) = (e11)) -> False). % 196.24/196.46 do 0 intro. intros zenon_H127 zenon_H1b9 zenon_H132 zenon_H1b8 zenon_H111 zenon_H110 zenon_H10f zenon_H143 zenon_H1a0 zenon_H105 zenon_H121 zenon_H14c zenon_H1b1. % 196.24/196.46 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H102 | zenon_intro zenon_H128 ]. % 196.24/196.46 apply (zenon_L175_); trivial. % 196.24/196.46 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H10d | zenon_intro zenon_H129 ]. % 196.24/196.46 apply (zenon_L104_); trivial. % 196.24/196.46 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H118 | zenon_intro zenon_H11f ]. % 196.24/196.46 apply (zenon_L156_); trivial. % 196.24/196.46 apply (zenon_L170_); trivial. % 196.24/196.46 (* end of lemma zenon_L177_ *) % 196.24/196.46 assert (zenon_L178_ : (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((op1 (e12) (e10)) = (e12)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> ((op1 (e10) (e12)) = (e10)) -> ((op1 (e13) (e12)) = (e11)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (e11) (e13)) = (e12)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (unit1) (e13)) = (e13)) -> ((op1 (unit1) (e10)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (unit1) (e12)) = (e12)) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> False). % 196.24/196.46 do 0 intro. intros zenon_H173 zenon_H1a0 zenon_H1b8 zenon_H1b9 zenon_H1b1 zenon_H17e zenon_H17f zenon_H111 zenon_H13a zenon_H132 zenon_H143 zenon_H14c zenon_H14b zenon_H11a zenon_H127 zenon_H172 zenon_H13b zenon_H10f zenon_H15b zenon_H105 zenon_H120 zenon_H121. % 196.24/196.46 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H110 | zenon_intro zenon_H174 ]. % 196.24/196.46 apply (zenon_L177_); trivial. % 196.24/196.46 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H12b | zenon_intro zenon_H175 ]. % 196.24/196.46 apply (zenon_L172_); trivial. % 196.24/196.46 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H140 | zenon_intro zenon_H15c ]. % 196.24/196.46 apply (zenon_L130_); trivial. % 196.24/196.46 apply (zenon_L133_); trivial. % 196.24/196.46 (* end of lemma zenon_L178_ *) % 196.24/196.46 assert (zenon_L179_ : (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e10)) = (e10)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (e13) (e12)) = (e11)) -> ((op1 (e10) (e12)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> ((op1 (e12) (e10)) = (e12)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (unit1) (e12)) = (e12)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> False). % 196.24/196.46 do 0 intro. intros zenon_H192 zenon_H133 zenon_H131 zenon_H104 zenon_H14b zenon_H14c zenon_H143 zenon_H132 zenon_H17e zenon_H1b1 zenon_H1b9 zenon_H1b8 zenon_H1a0 zenon_H121 zenon_H105 zenon_H15b zenon_H10f zenon_H172 zenon_H127 zenon_H11a zenon_H18e zenon_H13a zenon_H185 zenon_H186 zenon_H18b zenon_H111 zenon_H173 zenon_H120 zenon_H13b. % 196.24/196.46 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H106 | zenon_intro zenon_H193 ]. % 196.24/196.46 apply (zenon_L134_); trivial. % 196.24/196.46 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H17f | zenon_intro zenon_H194 ]. % 196.24/196.46 apply (zenon_L178_); trivial. % 196.24/196.46 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H187 | zenon_intro zenon_H152 ]. % 196.24/196.46 apply (zenon_L149_); trivial. % 196.24/196.46 apply (zenon_L124_); trivial. % 196.24/196.46 (* end of lemma zenon_L179_ *) % 196.24/196.46 assert (zenon_L180_ : (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((op1 (e11) (unit1)) = (e11)) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> ((op1 (e10) (e12)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e10)) = (e10)) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (unit1) (e12)) = (e12)) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> False). % 196.24/196.46 do 0 intro. intros zenon_H1b5 zenon_H178 zenon_H19c zenon_H196 zenon_H197 zenon_H1a7 zenon_H1b8 zenon_H1b9 zenon_H1a3 zenon_H17e zenon_H104 zenon_H192 zenon_H14b zenon_H14c zenon_H143 zenon_H132 zenon_H133 zenon_H131 zenon_H173 zenon_H111 zenon_H18b zenon_H186 zenon_H185 zenon_H13a zenon_H18e zenon_H11a zenon_H127 zenon_H172 zenon_H13b zenon_H10f zenon_H15b zenon_H105 zenon_H120 zenon_H121. % 196.24/196.46 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H177 | zenon_intro zenon_H1b6 ]. % 196.24/196.46 apply (zenon_L150_); trivial. % 196.24/196.46 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H198 | zenon_intro zenon_H1b7 ]. % 196.24/196.46 apply (zenon_L166_); trivial. % 196.24/196.46 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H14d | zenon_intro zenon_H1b1 ]. % 196.24/196.46 apply (zenon_L176_); trivial. % 196.24/196.46 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H1a0 | zenon_intro zenon_H1a8 ]. % 196.24/196.46 apply (zenon_L179_); trivial. % 196.24/196.46 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H1a4 | zenon_intro zenon_H1a9 ]. % 196.24/196.46 apply (zenon_L162_); trivial. % 196.24/196.46 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_H15a | zenon_intro zenon_H187 ]. % 196.24/196.46 apply (zenon_L165_); trivial. % 196.24/196.46 apply (zenon_L149_); trivial. % 196.24/196.46 (* end of lemma zenon_L180_ *) % 196.24/196.46 assert (zenon_L181_ : (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> ((op1 (e10) (unit1)) = (e10)) -> ((unit1) = (e12)) -> ((op1 (e10) (e13)) = (e10)) -> False). % 196.24/196.46 do 0 intro. intros zenon_H104 zenon_H1bb zenon_H118 zenon_H1bc. % 196.24/196.46 cut (((op1 (e10) (unit1)) = (e10)) = ((op1 (e10) (e12)) = (op1 (e10) (e13)))). % 196.24/196.46 intro zenon_D_pnotp. % 196.24/196.46 apply zenon_H104. % 196.24/196.46 rewrite <- zenon_D_pnotp. % 196.24/196.46 exact zenon_H1bb. % 196.24/196.46 cut (((e10) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H1bd]. % 196.24/196.46 cut (((op1 (e10) (unit1)) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H1be]. % 196.24/196.46 congruence. % 196.24/196.46 elim (classic ((op1 (e10) (e12)) = (op1 (e10) (e12)))); [ zenon_intro zenon_H109 | zenon_intro zenon_H10a ]. % 196.24/196.46 cut (((op1 (e10) (e12)) = (op1 (e10) (e12))) = ((op1 (e10) (unit1)) = (op1 (e10) (e12)))). % 196.24/196.46 intro zenon_D_pnotp. % 196.24/196.46 apply zenon_H1be. % 196.24/196.46 rewrite <- zenon_D_pnotp. % 196.24/196.46 exact zenon_H109. % 196.24/196.46 cut (((op1 (e10) (e12)) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H10a]. % 196.24/196.46 cut (((op1 (e10) (e12)) = (op1 (e10) (unit1)))); [idtac | apply NNPP; zenon_intro zenon_H1bf]. % 196.24/196.46 congruence. % 196.24/196.46 cut (((e12) = (unit1))); [idtac | apply NNPP; zenon_intro zenon_H119]. % 196.24/196.46 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H130]. % 196.24/196.46 congruence. % 196.24/196.46 apply zenon_H130. apply refl_equal. % 196.24/196.46 apply zenon_H119. apply sym_equal. exact zenon_H118. % 196.24/196.46 apply zenon_H10a. apply refl_equal. % 196.24/196.46 apply zenon_H10a. apply refl_equal. % 196.24/196.46 apply zenon_H1bd. apply sym_equal. exact zenon_H1bc. % 196.24/196.46 (* end of lemma zenon_L181_ *) % 196.24/196.46 assert (zenon_L182_ : (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (e10) (e13)) = (e10)) -> ((op1 (e10) (unit1)) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> ((op1 (unit1) (e13)) = (e13)) -> ((op1 (e13) (e12)) = (e13)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> False). % 196.24/196.46 do 0 intro. intros zenon_H127 zenon_H11a zenon_H10f zenon_H121 zenon_H1bc zenon_H1bb zenon_H104 zenon_H13a zenon_H140 zenon_H15b. % 196.24/196.46 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H102 | zenon_intro zenon_H128 ]. % 196.24/196.46 apply (zenon_L117_); trivial. % 196.24/196.46 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H10d | zenon_intro zenon_H129 ]. % 196.24/196.46 apply (zenon_L118_); trivial. % 196.24/196.46 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H118 | zenon_intro zenon_H11f ]. % 196.24/196.46 apply (zenon_L181_); trivial. % 196.24/196.46 apply (zenon_L129_); trivial. % 196.24/196.46 (* end of lemma zenon_L182_ *) % 196.24/196.46 assert (zenon_L183_ : (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> ((op1 (e10) (e12)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((op1 (unit1) (e10)) = (e10)) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> ((op1 (e10) (unit1)) = (e10)) -> ((op1 (e10) (e13)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (unit1) (e12)) = (e12)) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> False). % 196.24/196.46 do 0 intro. intros zenon_H173 zenon_H178 zenon_H14c zenon_H177 zenon_H131 zenon_H132 zenon_H133 zenon_H111 zenon_H13a zenon_H104 zenon_H1bb zenon_H1bc zenon_H11a zenon_H127 zenon_H172 zenon_H13b zenon_H10f zenon_H15b zenon_H105 zenon_H120 zenon_H121. % 196.24/196.46 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H110 | zenon_intro zenon_H174 ]. % 196.24/196.46 apply (zenon_L136_); trivial. % 196.24/196.46 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H12b | zenon_intro zenon_H175 ]. % 196.24/196.46 apply (zenon_L116_); trivial. % 196.24/196.46 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H140 | zenon_intro zenon_H15c ]. % 196.24/196.46 apply (zenon_L182_); trivial. % 196.24/196.46 apply (zenon_L133_); trivial. % 196.24/196.46 (* end of lemma zenon_L183_ *) % 196.24/196.46 assert (zenon_L184_ : (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((op1 (unit1) (e10)) = (e10)) -> ((unit1) = (e10)) -> ((op1 (e10) (e13)) = (e10)) -> False). % 196.24/196.46 do 0 intro. intros zenon_H1c0 zenon_H132 zenon_H102 zenon_H1bc. % 196.24/196.46 cut (((op1 (unit1) (e10)) = (e10)) = ((op1 (e10) (e10)) = (op1 (e10) (e13)))). % 196.24/196.46 intro zenon_D_pnotp. % 196.24/196.46 apply zenon_H1c0. % 196.24/196.46 rewrite <- zenon_D_pnotp. % 196.24/196.46 exact zenon_H132. % 196.24/196.46 cut (((e10) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H1bd]. % 196.24/196.46 cut (((op1 (unit1) (e10)) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H1ae]. % 196.24/196.46 congruence. % 196.24/196.46 elim (classic ((op1 (e10) (e10)) = (op1 (e10) (e10)))); [ zenon_intro zenon_H1af | zenon_intro zenon_H1b0 ]. % 196.24/196.46 cut (((op1 (e10) (e10)) = (op1 (e10) (e10))) = ((op1 (unit1) (e10)) = (op1 (e10) (e10)))). % 196.24/196.46 intro zenon_D_pnotp. % 196.24/196.46 apply zenon_H1ae. % 196.24/196.46 rewrite <- zenon_D_pnotp. % 196.24/196.46 exact zenon_H1af. % 196.24/196.46 cut (((op1 (e10) (e10)) = (op1 (e10) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H1b0]. % 196.24/196.46 cut (((op1 (e10) (e10)) = (op1 (unit1) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H1aa]. % 196.24/196.46 congruence. % 196.24/196.46 apply (zenon_L167_); trivial. % 196.24/196.46 apply zenon_H1b0. apply refl_equal. % 196.24/196.46 apply zenon_H1b0. apply refl_equal. % 196.24/196.46 apply zenon_H1bd. apply sym_equal. exact zenon_H1bc. % 196.24/196.46 (* end of lemma zenon_L184_ *) % 196.24/196.46 assert (zenon_L185_ : (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> ((op1 (e10) (e13)) = (e10)) -> ((op1 (unit1) (e10)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e13) (e10)) = (e13)) -> ((op1 (e13) (unit1)) = (e13)) -> ((op1 (e12) (e12)) = (e11)) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e12)) = (e12)) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> False). % 196.24/196.46 do 0 intro. intros zenon_H127 zenon_H1bc zenon_H132 zenon_H1c0 zenon_H111 zenon_H110 zenon_H10f zenon_H14d zenon_H14c zenon_H14b zenon_H105 zenon_H120 zenon_H121. % 196.24/196.46 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H102 | zenon_intro zenon_H128 ]. % 196.24/196.46 apply (zenon_L184_); trivial. % 196.24/196.46 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H10d | zenon_intro zenon_H129 ]. % 196.24/196.46 apply (zenon_L104_); trivial. % 196.24/196.46 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H118 | zenon_intro zenon_H11f ]. % 196.24/196.46 apply (zenon_L123_); trivial. % 196.24/196.46 apply (zenon_L107_); trivial. % 196.24/196.46 (* end of lemma zenon_L185_ *) % 196.24/196.46 assert (zenon_L186_ : (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((e10) = (op1 (e11) (e11))) -> ((op1 (unit1) (e10)) = (e10)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((op1 (e10) (e13)) = (e10)) -> ((op1 (e10) (unit1)) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> ((op1 (e13) (e12)) = (e11)) -> False). % 196.24/196.46 do 0 intro. intros zenon_H127 zenon_H1c0 zenon_H133 zenon_H132 zenon_H131 zenon_H1bc zenon_H1bb zenon_H104 zenon_H121 zenon_H14c zenon_H1b1. % 196.24/196.46 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H102 | zenon_intro zenon_H128 ]. % 196.24/196.46 apply (zenon_L184_); trivial. % 196.24/196.46 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H10d | zenon_intro zenon_H129 ]. % 196.24/196.46 apply (zenon_L112_); trivial. % 196.24/196.46 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H118 | zenon_intro zenon_H11f ]. % 196.24/196.46 apply (zenon_L181_); trivial. % 196.24/196.46 apply (zenon_L170_); trivial. % 196.24/196.46 (* end of lemma zenon_L186_ *) % 196.24/196.46 assert (zenon_L187_ : (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((op1 (e11) (unit1)) = (e11)) -> ((e12) = (op1 (e13) (e11))) -> ((op1 (unit1) (e12)) = (e12)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op1 (e13) (unit1)) = (e13)) -> ((op1 (e13) (e10)) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((e10) = (op1 (e11) (e11))) -> ((op1 (unit1) (e10)) = (e10)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((op1 (e10) (e13)) = (e10)) -> ((op1 (e10) (unit1)) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> False). % 196.24/196.46 do 0 intro. intros zenon_H1b5 zenon_H15b zenon_H13b zenon_H172 zenon_H13a zenon_H178 zenon_H173 zenon_H11a zenon_H196 zenon_H197 zenon_H120 zenon_H105 zenon_H14b zenon_H10f zenon_H110 zenon_H111 zenon_H127 zenon_H1c0 zenon_H133 zenon_H132 zenon_H131 zenon_H1bc zenon_H1bb zenon_H104 zenon_H121 zenon_H14c. % 196.24/196.46 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H177 | zenon_intro zenon_H1b6 ]. % 196.24/196.46 apply (zenon_L183_); trivial. % 196.24/196.46 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H198 | zenon_intro zenon_H1b7 ]. % 196.24/196.46 apply (zenon_L153_); trivial. % 196.24/196.46 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H14d | zenon_intro zenon_H1b1 ]. % 196.24/196.46 apply (zenon_L185_); trivial. % 196.24/196.46 apply (zenon_L186_); trivial. % 196.24/196.46 (* end of lemma zenon_L187_ *) % 196.24/196.46 assert (zenon_L188_ : (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> ((op1 (e12) (e11)) = (e12)) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> ((op1 (unit1) (e10)) = (e10)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((op1 (e10) (e13)) = (e10)) -> ((op1 (e10) (unit1)) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> ((op1 (unit1) (e12)) = (e12)) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> False). % 196.24/196.46 do 0 intro. intros zenon_H127 zenon_H1a4 zenon_H186 zenon_H1a3 zenon_H133 zenon_H132 zenon_H131 zenon_H1bc zenon_H1bb zenon_H104 zenon_H105 zenon_H120 zenon_H121. % 196.24/196.46 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H102 | zenon_intro zenon_H128 ]. % 196.24/196.46 apply (zenon_L159_); trivial. % 196.24/196.46 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H10d | zenon_intro zenon_H129 ]. % 196.24/196.46 apply (zenon_L112_); trivial. % 196.24/196.46 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H118 | zenon_intro zenon_H11f ]. % 196.24/196.46 apply (zenon_L181_); trivial. % 196.24/196.46 apply (zenon_L107_); trivial. % 196.24/196.46 (* end of lemma zenon_L188_ *) % 196.24/196.46 assert (zenon_L189_ : (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (e12) (unit1)) = (e12)) -> ((op1 (e12) (e12)) = (e12)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((op1 (unit1) (e10)) = (e10)) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> ((op1 (e10) (unit1)) = (e10)) -> ((op1 (e10) (e13)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (unit1) (e12)) = (e12)) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> False). % 196.24/196.47 do 0 intro. intros zenon_H173 zenon_H143 zenon_H186 zenon_H15a zenon_H131 zenon_H132 zenon_H133 zenon_H111 zenon_H13a zenon_H104 zenon_H1bb zenon_H1bc zenon_H11a zenon_H127 zenon_H172 zenon_H13b zenon_H10f zenon_H15b zenon_H105 zenon_H120 zenon_H121. % 196.24/196.47 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H110 | zenon_intro zenon_H174 ]. % 196.24/196.47 apply (zenon_L164_); trivial. % 196.24/196.47 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H12b | zenon_intro zenon_H175 ]. % 196.24/196.47 apply (zenon_L116_); trivial. % 196.24/196.47 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H140 | zenon_intro zenon_H15c ]. % 196.24/196.47 apply (zenon_L182_); trivial. % 196.24/196.47 apply (zenon_L133_); trivial. % 196.24/196.47 (* end of lemma zenon_L189_ *) % 196.24/196.47 assert (zenon_L190_ : (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((op1 (e11) (unit1)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((op1 (e11) (e12)) = (e11)) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((op1 (e10) (e13)) = (e10)) -> ((op1 (e10) (unit1)) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> ((e10) = (op1 (e11) (e11))) -> ((op1 (unit1) (e10)) = (e10)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (unit1) (e12)) = (e12)) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> False). % 196.24/196.47 do 0 intro. intros zenon_H1a7 zenon_H197 zenon_H196 zenon_H198 zenon_H14c zenon_H19c zenon_H1b5 zenon_H178 zenon_H14b zenon_H1c0 zenon_H1a3 zenon_H1bc zenon_H1bb zenon_H104 zenon_H133 zenon_H132 zenon_H131 zenon_H143 zenon_H173 zenon_H111 zenon_H18b zenon_H186 zenon_H185 zenon_H13a zenon_H18e zenon_H11a zenon_H127 zenon_H172 zenon_H13b zenon_H10f zenon_H15b zenon_H105 zenon_H120 zenon_H121. % 196.24/196.47 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H1a0 | zenon_intro zenon_H1a8 ]. % 196.24/196.47 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H110 | zenon_intro zenon_H174 ]. % 196.24/196.47 apply (zenon_L187_); trivial. % 196.24/196.47 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H12b | zenon_intro zenon_H175 ]. % 196.24/196.47 apply (zenon_L157_); trivial. % 196.24/196.47 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H140 | zenon_intro zenon_H15c ]. % 196.24/196.47 apply (zenon_L182_); trivial. % 196.24/196.47 apply (zenon_L133_); trivial. % 196.24/196.47 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H1a4 | zenon_intro zenon_H1a9 ]. % 196.24/196.47 apply (zenon_L188_); trivial. % 196.24/196.47 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_H15a | zenon_intro zenon_H187 ]. % 196.24/196.47 apply (zenon_L189_); trivial. % 196.24/196.47 apply (zenon_L149_); trivial. % 196.24/196.47 (* end of lemma zenon_L190_ *) % 196.24/196.47 assert (zenon_L191_ : (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (e12) (e12)) = (e11)) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e13)) = (e13)) -> ((op1 (e13) (e12)) = (e13)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> False). % 196.24/196.47 do 0 intro. intros zenon_H127 zenon_H11a zenon_H10f zenon_H121 zenon_H14d zenon_H14c zenon_H14b zenon_H13a zenon_H140 zenon_H15b. % 196.24/196.47 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H102 | zenon_intro zenon_H128 ]. % 196.24/196.47 apply (zenon_L117_); trivial. % 196.24/196.47 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H10d | zenon_intro zenon_H129 ]. % 196.24/196.47 apply (zenon_L118_); trivial. % 196.24/196.47 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H118 | zenon_intro zenon_H11f ]. % 196.24/196.47 apply (zenon_L123_); trivial. % 196.24/196.47 apply (zenon_L129_); trivial. % 196.24/196.47 (* end of lemma zenon_L191_ *) % 196.24/196.47 assert (zenon_L192_ : (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> ((op1 (e10) (unit1)) = (e10)) -> ((op1 (e10) (e13)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((op1 (e11) (unit1)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((op1 (unit1) (e10)) = (e10)) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> ((op1 (e12) (e12)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (unit1) (e12)) = (e12)) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> False). % 196.24/196.47 do 0 intro. intros zenon_H104 zenon_H1bb zenon_H1bc zenon_H1c0 zenon_H197 zenon_H196 zenon_H173 zenon_H178 zenon_H1b5 zenon_H131 zenon_H132 zenon_H133 zenon_H111 zenon_H13a zenon_H14b zenon_H14c zenon_H14d zenon_H11a zenon_H127 zenon_H172 zenon_H13b zenon_H10f zenon_H15b zenon_H105 zenon_H120 zenon_H121. % 196.24/196.47 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H110 | zenon_intro zenon_H174 ]. % 196.24/196.47 apply (zenon_L187_); trivial. % 196.24/196.47 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H12b | zenon_intro zenon_H175 ]. % 196.24/196.47 apply (zenon_L116_); trivial. % 196.24/196.47 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H140 | zenon_intro zenon_H15c ]. % 196.24/196.47 apply (zenon_L191_); trivial. % 196.24/196.47 apply (zenon_L133_); trivial. % 196.24/196.47 (* end of lemma zenon_L192_ *) % 196.24/196.47 assert (zenon_L193_ : (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((e12) = (op1 (e13) (e11))) -> ((op1 (unit1) (e12)) = (e12)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((op1 (e11) (unit1)) = (e11)) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((e10) = (op1 (e11) (e11))) -> ((op1 (unit1) (e10)) = (e10)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((op1 (e10) (e13)) = (e10)) -> ((op1 (e10) (unit1)) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> False). % 196.24/196.47 do 0 intro. intros zenon_H18e zenon_H185 zenon_H186 zenon_H18b zenon_H143 zenon_H1a3 zenon_H19c zenon_H1a7 zenon_H120 zenon_H105 zenon_H15b zenon_H10f zenon_H13b zenon_H172 zenon_H11a zenon_H14b zenon_H13a zenon_H111 zenon_H1b5 zenon_H178 zenon_H173 zenon_H196 zenon_H197 zenon_H127 zenon_H1c0 zenon_H133 zenon_H132 zenon_H131 zenon_H1bc zenon_H1bb zenon_H104 zenon_H121 zenon_H14c. % 196.24/196.47 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H177 | zenon_intro zenon_H1b6 ]. % 196.24/196.47 apply (zenon_L183_); trivial. % 196.24/196.47 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H198 | zenon_intro zenon_H1b7 ]. % 196.24/196.47 apply (zenon_L190_); trivial. % 196.24/196.47 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H14d | zenon_intro zenon_H1b1 ]. % 196.24/196.47 apply (zenon_L192_); trivial. % 196.24/196.47 apply (zenon_L186_); trivial. % 196.24/196.47 (* end of lemma zenon_L193_ *) % 196.24/196.47 assert (zenon_L194_ : (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> ((unit2) = (e20)) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (e22) (unit2)) = (e22)) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> ((op2 (e21) (unit2)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e20)) = (e23)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (unit2) (e21)) = (e21)) -> ((op2 (e23) (e22)) = (e21)) -> (~((h8 (op1 (e10) (e10))) = (op2 (h8 (e10)) (h8 (e10))))) -> ((h8 (e10)) = (op2 (e22) (e22))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((e12) = (op1 (e13) (e11))) -> ((op1 (unit1) (e12)) = (e12)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((op1 (e11) (unit1)) = (e11)) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((e10) = (op1 (e11) (e11))) -> ((op1 (unit1) (e10)) = (e10)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((op1 (e10) (unit1)) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> False). % 196.24/196.47 do 0 intro. intros zenon_H1c1 zenon_H1e zenon_H54 zenon_H9e zenon_H39 zenon_Ha4 zenon_H49 zenon_Hcf zenon_H29 zenon_H56 zenon_H5d zenon_H55 zenon_H41 zenon_H77 zenon_Hdb zenon_Hf3 zenon_Hf0 zenon_H1ab zenon_H192 zenon_H17e zenon_H1b8 zenon_H18e zenon_H185 zenon_H186 zenon_H18b zenon_H143 zenon_H1a3 zenon_H19c zenon_H1a7 zenon_H120 zenon_H105 zenon_H15b zenon_H10f zenon_H13b zenon_H172 zenon_H11a zenon_H14b zenon_H13a zenon_H111 zenon_H1b5 zenon_H178 zenon_H173 zenon_H196 zenon_H197 zenon_H127 zenon_H1c0 zenon_H133 zenon_H132 zenon_H131 zenon_H1bb zenon_H104 zenon_H121 zenon_H14c. % 196.24/196.47 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_Hf4 | zenon_intro zenon_H1c2 ]. % 196.24/196.47 apply (zenon_or_s _ _ ax13); [ zenon_intro zenon_H90 | zenon_intro zenon_H8f ]. % 196.24/196.47 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H92. zenon_intro zenon_H91. % 196.24/196.47 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H94. zenon_intro zenon_H93. % 196.24/196.47 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_H6f. zenon_intro zenon_H95. % 196.24/196.47 apply (zenon_L95_); trivial. % 196.24/196.47 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H97 | zenon_intro zenon_H96 ]. % 196.24/196.47 apply (zenon_L97_); trivial. % 196.24/196.47 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H80 | zenon_intro zenon_H89 ]. % 196.24/196.47 apply (zenon_L98_); trivial. % 196.24/196.47 apply (zenon_L92_); trivial. % 196.24/196.47 apply (zenon_or_s _ _ zenon_H1c2); [ zenon_intro zenon_H1ac | zenon_intro zenon_H1c3 ]. % 196.24/196.47 apply (zenon_L174_); trivial. % 196.24/196.47 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_H1b9 | zenon_intro zenon_H1bc ]. % 196.24/196.47 apply (zenon_L180_); trivial. % 196.24/196.47 apply (zenon_L193_); trivial. % 196.24/196.47 (* end of lemma zenon_L194_ *) % 196.24/196.47 assert (zenon_L195_ : (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> ((op2 (unit2) (e22)) = (e22)) -> ((unit2) = (e20)) -> ((op2 (e23) (e22)) = (e22)) -> False). % 196.24/196.47 do 0 intro. intros zenon_H1c4 zenon_H37 zenon_H1e zenon_H1c5. % 196.24/196.47 cut (((op2 (unit2) (e22)) = (e22)) = ((op2 (e20) (e22)) = (op2 (e23) (e22)))). % 196.24/196.47 intro zenon_D_pnotp. % 196.24/196.47 apply zenon_H1c4. % 196.24/196.47 rewrite <- zenon_D_pnotp. % 196.24/196.47 exact zenon_H37. % 196.24/196.47 cut (((e22) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H1c6]. % 196.24/196.47 cut (((op2 (unit2) (e22)) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H50]. % 196.24/196.47 congruence. % 196.24/196.47 elim (classic ((op2 (e20) (e22)) = (op2 (e20) (e22)))); [ zenon_intro zenon_H51 | zenon_intro zenon_H52 ]. % 196.24/196.47 cut (((op2 (e20) (e22)) = (op2 (e20) (e22))) = ((op2 (unit2) (e22)) = (op2 (e20) (e22)))). % 196.24/196.47 intro zenon_D_pnotp. % 196.24/196.47 apply zenon_H50. % 196.24/196.47 rewrite <- zenon_D_pnotp. % 196.24/196.47 exact zenon_H51. % 196.24/196.47 cut (((op2 (e20) (e22)) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H52]. % 196.24/196.47 cut (((op2 (e20) (e22)) = (op2 (unit2) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H4c]. % 196.24/196.47 congruence. % 196.24/196.47 apply (zenon_L11_); trivial. % 196.24/196.47 apply zenon_H52. apply refl_equal. % 196.24/196.47 apply zenon_H52. apply refl_equal. % 196.24/196.47 apply zenon_H1c6. apply sym_equal. exact zenon_H1c5. % 196.24/196.47 (* end of lemma zenon_L195_ *) % 196.24/196.47 assert (zenon_L196_ : ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (e22) (unit2)) = (e22)) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> ((op2 (e21) (unit2)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e20)) = (e23)) -> (~((h8 (op1 (e10) (e10))) = (op2 (h8 (e10)) (h8 (e10))))) -> ((h8 (e10)) = (op2 (e22) (e22))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((e12) = (op1 (e13) (e11))) -> ((op1 (unit1) (e12)) = (e12)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((op1 (e11) (unit1)) = (e11)) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((e10) = (op1 (e11) (e11))) -> ((op1 (unit1) (e10)) = (e10)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((op1 (e10) (unit1)) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> ((op2 (e21) (e23)) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> ((op2 (e22) (e22)) = (e21)) -> ((op2 (unit2) (e21)) = (e21)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e22)) = (e22)) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> False). % 196.24/196.47 do 0 intro. intros zenon_H54 zenon_H5d zenon_H1c4 zenon_H1c1 zenon_H9e zenon_H39 zenon_Ha4 zenon_H49 zenon_Hcf zenon_H29 zenon_H56 zenon_H55 zenon_Hf3 zenon_Hf0 zenon_H1ab zenon_H192 zenon_H17e zenon_H1b8 zenon_H18e zenon_H185 zenon_H186 zenon_H18b zenon_H143 zenon_H1a3 zenon_H19c zenon_H1a7 zenon_H120 zenon_H105 zenon_H15b zenon_H10f zenon_H13b zenon_H172 zenon_H11a zenon_H14b zenon_H13a zenon_H111 zenon_H1b5 zenon_H178 zenon_H173 zenon_H196 zenon_H197 zenon_H127 zenon_H1c0 zenon_H133 zenon_H132 zenon_H131 zenon_H1bb zenon_H104 zenon_H121 zenon_H14c zenon_Hea zenon_H2c zenon_H67 zenon_H1c7 zenon_Haa zenon_Ha9 zenon_H78 zenon_H77 zenon_H76 zenon_H37 zenon_H40 zenon_H41. % 196.24/196.47 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H1e | zenon_intro zenon_H4a ]. % 196.24/196.47 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_He9 | zenon_intro zenon_H1c8 ]. % 196.24/196.47 apply (zenon_L93_); trivial. % 196.24/196.47 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_Hdb | zenon_intro zenon_H1c9 ]. % 196.24/196.47 apply (zenon_L194_); trivial. % 196.24/196.47 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H6c ]. % 196.24/196.47 apply (zenon_L195_); trivial. % 196.24/196.47 apply (zenon_L24_); trivial. % 196.24/196.47 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2b | zenon_intro zenon_H4b ]. % 196.24/196.47 apply (zenon_L46_); trivial. % 196.24/196.47 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H3f ]. % 196.24/196.47 apply (zenon_L30_); trivial. % 196.24/196.47 apply (zenon_L9_); trivial. % 196.24/196.47 (* end of lemma zenon_L196_ *) % 196.24/196.47 assert (zenon_L197_ : (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((op2 (unit2) (e23)) = (e23)) -> ((op2 (unit2) (e20)) = (e20)) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e21)) = (e21)) -> ((op2 (e22) (e22)) = (e21)) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> ((op1 (e10) (unit1)) = (e10)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((op1 (unit1) (e10)) = (e10)) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> ((op1 (e11) (unit1)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (unit1) (e12)) = (e12)) -> ((e12) = (op1 (e13) (e11))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((h8 (e10)) = (op2 (e22) (e22))) -> (~((h8 (op1 (e10) (e10))) = (op2 (h8 (e10)) (h8 (e10))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (e21) (unit2)) = (e21)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (unit2) (e22)) = (e22)) -> ((op2 (e23) (unit2)) = (e23)) -> ((op2 (e23) (e20)) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e22) (unit2)) = (e22)) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> False). % 196.24/196.47 do 0 intro. intros zenon_Hb6 zenon_H86 zenon_H20 zenon_H2a zenon_H4d zenon_H9f zenon_H76 zenon_H77 zenon_H78 zenon_Ha9 zenon_H1c7 zenon_H2c zenon_Hea zenon_H14c zenon_H121 zenon_H104 zenon_H1bb zenon_H131 zenon_H132 zenon_H133 zenon_H1c0 zenon_H127 zenon_H197 zenon_H196 zenon_H173 zenon_H178 zenon_H1b5 zenon_H111 zenon_H13a zenon_H14b zenon_H11a zenon_H172 zenon_H13b zenon_H10f zenon_H15b zenon_H105 zenon_H120 zenon_H1a7 zenon_H19c zenon_H1a3 zenon_H143 zenon_H18b zenon_H186 zenon_H185 zenon_H18e zenon_H1b8 zenon_H17e zenon_H192 zenon_H1ab zenon_Hf0 zenon_Hf3 zenon_H29 zenon_Hcf zenon_H39 zenon_H9e zenon_H1c1 zenon_H1c4 zenon_H41 zenon_H37 zenon_H54 zenon_H55 zenon_H5d zenon_H56 zenon_Haf zenon_Ha4 zenon_H49 zenon_H40 zenon_H67. % 196.24/196.47 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_H4e | zenon_intro zenon_Hb7 ]. % 196.24/196.47 apply (zenon_L86_); trivial. % 196.24/196.47 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_Haa | zenon_intro zenon_Hb8 ]. % 196.24/196.47 apply (zenon_L196_); trivial. % 196.24/196.47 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H7d ]. % 196.24/196.47 apply (zenon_L50_); trivial. % 196.24/196.47 apply (zenon_L31_); trivial. % 196.24/196.47 (* end of lemma zenon_L197_ *) % 196.24/196.47 assert (zenon_L198_ : ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> ((op1 (e10) (unit1)) = (e10)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((op1 (unit1) (e10)) = (e10)) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> ((op1 (e11) (unit1)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (unit1) (e12)) = (e12)) -> ((e12) = (op1 (e13) (e11))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((h8 (e10)) = (op2 (e22) (e22))) -> (~((h8 (op1 (e10) (e10))) = (op2 (h8 (e10)) (h8 (e10))))) -> ((op2 (e23) (e20)) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e21) (unit2)) = (e21)) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> ((op2 (e22) (unit2)) = (e22)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (e23) (unit2)) = (e23)) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> ((e20) = (op2 (e21) (e21))) -> ((op2 (unit2) (e20)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (e22) (e20)) = (e22)) -> ((op2 (unit2) (e22)) = (e22)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (unit2) (e21)) = (e21)) -> ((op2 (e23) (e22)) = (e21)) -> False). % 196.24/196.47 do 0 intro. intros zenon_H14c zenon_H121 zenon_H104 zenon_H1bb zenon_H131 zenon_H132 zenon_H133 zenon_H1c0 zenon_H127 zenon_H197 zenon_H196 zenon_H173 zenon_H178 zenon_H1b5 zenon_H111 zenon_H13a zenon_H14b zenon_H11a zenon_H172 zenon_H13b zenon_H10f zenon_H15b zenon_H105 zenon_H120 zenon_H1a7 zenon_H19c zenon_H1a3 zenon_H143 zenon_H18b zenon_H186 zenon_H185 zenon_H18e zenon_H1b8 zenon_H17e zenon_H192 zenon_H1ab zenon_Hf0 zenon_Hf3 zenon_H55 zenon_H5d zenon_H56 zenon_Hcf zenon_H49 zenon_Ha4 zenon_H9e zenon_H54 zenon_H1c1 zenon_H2c zenon_H2a zenon_H29 zenon_H39 zenon_H38 zenon_H37 zenon_H41 zenon_H77 zenon_Hdb. % 196.24/196.47 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H1e | zenon_intro zenon_H4a ]. % 196.24/196.47 apply (zenon_L194_); trivial. % 196.24/196.47 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2b | zenon_intro zenon_H4b ]. % 196.24/196.47 apply (zenon_L5_); trivial. % 196.24/196.47 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H3f ]. % 196.24/196.47 apply (zenon_L8_); trivial. % 196.24/196.47 apply (zenon_L82_); trivial. % 196.24/196.47 (* end of lemma zenon_L198_ *) % 196.24/196.47 assert (zenon_L199_ : (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((e20) = (e23))) -> ((op2 (unit2) (e21)) = (e21)) -> ((op2 (unit2) (e22)) = (e22)) -> ((op2 (e22) (e20)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (e22) (unit2)) = (e22)) -> ((op2 (e21) (unit2)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e20)) = (e23)) -> (~((h8 (op1 (e10) (e10))) = (op2 (h8 (e10)) (h8 (e10))))) -> ((h8 (e10)) = (op2 (e22) (e22))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((e12) = (op1 (e13) (e11))) -> ((op1 (unit1) (e12)) = (e12)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((op1 (e11) (unit1)) = (e11)) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((e10) = (op1 (e11) (e11))) -> ((op1 (unit1) (e10)) = (e10)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((op1 (e10) (unit1)) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((e22) = (op2 (e23) (e21))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> ((op2 (unit2) (e20)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e23) (unit2)) = (e23)) -> ((op2 (unit2) (e23)) = (e23)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> False). % 196.24/196.47 do 0 intro. intros zenon_H1ca zenon_H22 zenon_Hbd zenon_H77 zenon_H37 zenon_H38 zenon_H39 zenon_H1c1 zenon_H9e zenon_Ha4 zenon_Hcf zenon_H5d zenon_H55 zenon_Hf3 zenon_Hf0 zenon_H1ab zenon_H192 zenon_H17e zenon_H1b8 zenon_H18e zenon_H185 zenon_H186 zenon_H18b zenon_H143 zenon_H1a3 zenon_H19c zenon_H1a7 zenon_H120 zenon_H105 zenon_H15b zenon_H10f zenon_H13b zenon_H172 zenon_H11a zenon_H14b zenon_H13a zenon_H111 zenon_H1b5 zenon_H178 zenon_H173 zenon_H196 zenon_H197 zenon_H127 zenon_H1c0 zenon_H133 zenon_H132 zenon_H131 zenon_H1bb zenon_H104 zenon_H121 zenon_H14c zenon_Hb6 zenon_H86 zenon_H4d zenon_H9f zenon_H76 zenon_Ha9 zenon_H1c7 zenon_Hea zenon_H1c4 zenon_Haf zenon_H40 zenon_Hba zenon_Hce zenon_Hd4 zenon_Ha3 zenon_Hb3 zenon_Hb5 zenon_Hc1 zenon_Hdf zenon_H49 zenon_H56 zenon_H2c zenon_H2a zenon_H29 zenon_H41 zenon_H54 zenon_H20 zenon_H67. % 196.24/196.47 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H21 | zenon_intro zenon_H1cb ]. % 196.24/196.47 apply (zenon_L64_); trivial. % 196.24/196.47 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H8d | zenon_intro zenon_H1cc ]. % 196.24/196.47 apply (zenon_L65_); trivial. % 196.24/196.47 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H61 ]. % 196.24/196.47 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_Hc0 | zenon_intro zenon_He0 ]. % 196.24/196.47 apply (zenon_L71_); trivial. % 196.24/196.47 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hd0 | zenon_intro zenon_He1 ]. % 196.24/196.47 apply (zenon_L79_); trivial. % 196.24/196.47 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_H78 | zenon_intro zenon_Hdb ]. % 196.24/196.47 apply (zenon_L197_); trivial. % 196.24/196.47 apply (zenon_L198_); trivial. % 196.24/196.47 apply (zenon_L23_); trivial. % 196.24/196.47 (* end of lemma zenon_L199_ *) % 196.24/196.47 assert (zenon_L200_ : (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> ((op1 (e10) (unit1)) = (e10)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((op1 (unit1) (e10)) = (e10)) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> ((op1 (e11) (unit1)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (unit1) (e12)) = (e12)) -> ((e12) = (op1 (e13) (e11))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((h8 (e10)) = (op2 (e22) (e22))) -> (~((h8 (op1 (e10) (e10))) = (op2 (h8 (e10)) (h8 (e10))))) -> ((op2 (e21) (unit2)) = (e21)) -> ((op2 (e22) (unit2)) = (e22)) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> ((op2 (e22) (e20)) = (e22)) -> (~((e20) = (e23))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> ((op2 (e21) (e23)) = (e22)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (unit2) (e23)) = (e23)) -> ((op2 (unit2) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e21)) = (e21)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((op2 (unit2) (e22)) = (e22)) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> False). % 196.24/196.47 do 0 intro. intros zenon_H29 zenon_H2c zenon_Hdf zenon_Hc1 zenon_Hb5 zenon_Hb3 zenon_Ha3 zenon_Hd4 zenon_Hce zenon_Hba zenon_Haf zenon_H1c4 zenon_Hea zenon_H1c7 zenon_H9f zenon_H4d zenon_Hb6 zenon_H14c zenon_H121 zenon_H104 zenon_H1bb zenon_H131 zenon_H132 zenon_H133 zenon_H1c0 zenon_H127 zenon_H197 zenon_H196 zenon_H173 zenon_H178 zenon_H1b5 zenon_H111 zenon_H13a zenon_H14b zenon_H11a zenon_H172 zenon_H13b zenon_H10f zenon_H15b zenon_H105 zenon_H120 zenon_H1a7 zenon_H19c zenon_H1a3 zenon_H143 zenon_H18b zenon_H186 zenon_H185 zenon_H18e zenon_H1b8 zenon_H17e zenon_H192 zenon_H1ab zenon_Hf0 zenon_Hf3 zenon_Hcf zenon_Ha4 zenon_H1c1 zenon_H38 zenon_Hbd zenon_H22 zenon_H1ca zenon_Ha9 zenon_Haa zenon_H56 zenon_H20 zenon_H2a zenon_H39 zenon_H77 zenon_H76 zenon_H5d zenon_H49 zenon_H9e zenon_H67 zenon_H54 zenon_H86 zenon_H37 zenon_H40 zenon_H41. % 196.24/196.47 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H55 | zenon_intro zenon_Ha0 ]. % 196.24/196.47 apply (zenon_L199_); trivial. % 196.24/196.47 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_H61 | zenon_intro zenon_Ha1 ]. % 196.24/196.47 apply (zenon_L47_); trivial. % 196.24/196.47 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H6c | zenon_intro zenon_H87 ]. % 196.24/196.47 apply (zenon_L37_); trivial. % 196.24/196.47 apply (zenon_L40_); trivial. % 196.24/196.47 (* end of lemma zenon_L200_ *) % 196.24/196.47 assert (zenon_L201_ : ((op2 (e22) (e22)) = (e21)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e21)) = (e21)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e20)) = (e20)) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((e20) = (e23))) -> ((op2 (e22) (e20)) = (e22)) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> ((op2 (e21) (unit2)) = (e21)) -> (~((h8 (op1 (e10) (e10))) = (op2 (h8 (e10)) (h8 (e10))))) -> ((h8 (e10)) = (op2 (e22) (e22))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((e12) = (op1 (e13) (e11))) -> ((op1 (unit1) (e12)) = (e12)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((op1 (e11) (unit1)) = (e11)) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((e10) = (op1 (e11) (e11))) -> ((op1 (unit1) (e10)) = (e10)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((op1 (e10) (unit1)) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (unit2) (e22)) = (e22)) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((op2 (unit2) (e23)) = (e23)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e22) (unit2)) = (e22)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> False). % 196.24/196.47 do 0 intro. intros zenon_H78 zenon_H76 zenon_H77 zenon_H39 zenon_H2a zenon_Ha9 zenon_H1ca zenon_H22 zenon_Hbd zenon_H38 zenon_H1c1 zenon_Hcf zenon_Hf3 zenon_Hf0 zenon_H1ab zenon_H192 zenon_H17e zenon_H1b8 zenon_H18e zenon_H185 zenon_H186 zenon_H18b zenon_H143 zenon_H1a3 zenon_H19c zenon_H1a7 zenon_H120 zenon_H105 zenon_H15b zenon_H10f zenon_H13b zenon_H172 zenon_H11a zenon_H14b zenon_H13a zenon_H111 zenon_H1b5 zenon_H178 zenon_H173 zenon_H196 zenon_H197 zenon_H127 zenon_H1c0 zenon_H133 zenon_H132 zenon_H131 zenon_H1bb zenon_H104 zenon_H121 zenon_H14c zenon_Hb6 zenon_H4d zenon_H1c7 zenon_Hea zenon_H1c4 zenon_Hba zenon_Hce zenon_Hd4 zenon_Ha3 zenon_Hc1 zenon_Hdf zenon_H2c zenon_H29 zenon_H41 zenon_H37 zenon_H86 zenon_H54 zenon_H9e zenon_H49 zenon_H5d zenon_Hb5 zenon_H20 zenon_Haf zenon_Ha4 zenon_Hb3 zenon_H56 zenon_H9f zenon_H40 zenon_H67. % 196.24/196.47 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_H4e | zenon_intro zenon_Hb7 ]. % 196.24/196.47 apply (zenon_L86_); trivial. % 196.24/196.47 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_Haa | zenon_intro zenon_Hb8 ]. % 196.24/196.47 apply (zenon_L200_); trivial. % 196.24/196.47 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H7d ]. % 196.24/196.47 apply (zenon_L55_); trivial. % 196.24/196.47 apply (zenon_L31_); trivial. % 196.24/196.47 (* end of lemma zenon_L201_ *) % 196.24/196.47 assert (zenon_L202_ : (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> ((op2 (unit2) (e21)) = (e21)) -> ((unit2) = (e20)) -> ((op2 (e22) (e21)) = (e21)) -> False). % 196.24/196.47 do 0 intro. intros zenon_H1cd zenon_H77 zenon_H1e zenon_H1ce. % 196.24/196.47 cut (((op2 (unit2) (e21)) = (e21)) = ((op2 (e20) (e21)) = (op2 (e22) (e21)))). % 196.24/196.47 intro zenon_D_pnotp. % 196.24/196.47 apply zenon_H1cd. % 196.24/196.47 rewrite <- zenon_D_pnotp. % 196.24/196.47 exact zenon_H77. % 196.24/196.47 cut (((e21) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H1cf]. % 196.24/196.47 cut (((op2 (unit2) (e21)) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_Hc3]. % 196.24/196.47 congruence. % 196.24/196.47 elim (classic ((op2 (e20) (e21)) = (op2 (e20) (e21)))); [ zenon_intro zenon_Hc4 | zenon_intro zenon_Hc5 ]. % 196.24/196.47 cut (((op2 (e20) (e21)) = (op2 (e20) (e21))) = ((op2 (unit2) (e21)) = (op2 (e20) (e21)))). % 196.24/196.47 intro zenon_D_pnotp. % 196.24/196.47 apply zenon_Hc3. % 196.24/196.47 rewrite <- zenon_D_pnotp. % 196.24/196.47 exact zenon_Hc4. % 196.24/196.47 cut (((op2 (e20) (e21)) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_Hc5]. % 196.24/196.47 cut (((op2 (e20) (e21)) = (op2 (unit2) (e21)))); [idtac | apply NNPP; zenon_intro zenon_Hbf]. % 196.24/196.47 congruence. % 196.24/196.47 apply (zenon_L66_); trivial. % 196.24/196.47 apply zenon_Hc5. apply refl_equal. % 196.24/196.47 apply zenon_Hc5. apply refl_equal. % 196.24/196.47 apply zenon_H1cf. apply sym_equal. exact zenon_H1ce. % 196.24/196.47 (* end of lemma zenon_L202_ *) % 196.24/196.47 assert (zenon_L203_ : ((op2 (unit2) (e23)) = (e23)) -> ((unit2) = (e22)) -> ((op2 (e20) (e23)) = (e23)) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> False). % 196.24/196.47 do 0 intro. intros zenon_H20 zenon_H35 zenon_H1d0 zenon_H1d1. % 196.24/196.47 elim (classic ((op2 (e22) (e23)) = (op2 (e22) (e23)))); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hc9 ]. % 196.24/196.47 cut (((op2 (e22) (e23)) = (op2 (e22) (e23))) = ((op2 (e20) (e23)) = (op2 (e22) (e23)))). % 196.24/196.47 intro zenon_D_pnotp. % 196.24/196.47 apply zenon_H1d1. % 196.24/196.47 rewrite <- zenon_D_pnotp. % 196.24/196.47 exact zenon_Hc8. % 196.24/196.47 cut (((op2 (e22) (e23)) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_Hc9]. % 196.24/196.47 cut (((op2 (e22) (e23)) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H1d2]. % 196.24/196.47 congruence. % 196.24/196.47 cut (((op2 (unit2) (e23)) = (e23)) = ((op2 (e22) (e23)) = (op2 (e20) (e23)))). % 196.24/196.47 intro zenon_D_pnotp. % 196.24/196.47 apply zenon_H1d2. % 196.24/196.47 rewrite <- zenon_D_pnotp. % 196.24/196.47 exact zenon_H20. % 196.24/196.47 cut (((e23) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H1d3]. % 196.24/196.47 cut (((op2 (unit2) (e23)) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_Hcc]. % 196.24/196.47 congruence. % 196.24/196.47 elim (classic ((op2 (e22) (e23)) = (op2 (e22) (e23)))); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hc9 ]. % 196.24/196.47 cut (((op2 (e22) (e23)) = (op2 (e22) (e23))) = ((op2 (unit2) (e23)) = (op2 (e22) (e23)))). % 196.24/196.47 intro zenon_D_pnotp. % 196.24/196.47 apply zenon_Hcc. % 196.24/196.47 rewrite <- zenon_D_pnotp. % 196.24/196.47 exact zenon_Hc8. % 196.24/196.47 cut (((op2 (e22) (e23)) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_Hc9]. % 196.24/196.47 cut (((op2 (e22) (e23)) = (op2 (unit2) (e23)))); [idtac | apply NNPP; zenon_intro zenon_Hc6]. % 196.24/196.47 congruence. % 196.24/196.47 apply (zenon_L68_); trivial. % 196.24/196.47 apply zenon_Hc9. apply refl_equal. % 196.24/196.47 apply zenon_Hc9. apply refl_equal. % 196.24/196.47 apply zenon_H1d3. apply sym_equal. exact zenon_H1d0. % 196.24/196.47 apply zenon_Hc9. apply refl_equal. % 196.24/196.47 apply zenon_Hc9. apply refl_equal. % 196.24/196.47 (* end of lemma zenon_L203_ *) % 196.24/196.47 assert (zenon_L204_ : (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> ((op2 (e22) (e21)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> ((op2 (unit2) (e20)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e20) (e23)) = (e23)) -> ((op2 (unit2) (e23)) = (e23)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (unit2) (e21)) = (e21)) -> ((op2 (e23) (e22)) = (e21)) -> False). % 196.24/196.47 do 0 intro. intros zenon_H49 zenon_H1ce zenon_H1cd zenon_H2c zenon_H2a zenon_H29 zenon_H1d1 zenon_H1d0 zenon_H20 zenon_H41 zenon_H77 zenon_Hdb. % 196.24/196.47 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H1e | zenon_intro zenon_H4a ]. % 196.24/196.47 apply (zenon_L202_); trivial. % 196.24/196.47 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2b | zenon_intro zenon_H4b ]. % 196.24/196.47 apply (zenon_L5_); trivial. % 196.24/196.47 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H3f ]. % 196.24/196.47 apply (zenon_L203_); trivial. % 196.24/196.47 apply (zenon_L82_); trivial. % 196.24/196.47 (* end of lemma zenon_L204_ *) % 196.24/196.47 assert (zenon_L205_ : (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (unit2) (e23)) = (e23)) -> ((unit2) = (e20)) -> ((op2 (e21) (e23)) = (e23)) -> False). % 196.24/196.47 do 0 intro. intros zenon_H1d4 zenon_H20 zenon_H1e zenon_H1d5. % 196.24/196.47 cut (((op2 (unit2) (e23)) = (e23)) = ((op2 (e20) (e23)) = (op2 (e21) (e23)))). % 196.24/196.47 intro zenon_D_pnotp. % 196.24/196.47 apply zenon_H1d4. % 196.24/196.47 rewrite <- zenon_D_pnotp. % 196.24/196.47 exact zenon_H20. % 196.24/196.47 cut (((e23) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H1d6]. % 196.24/196.47 cut (((op2 (unit2) (e23)) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H27]. % 196.24/196.47 congruence. % 196.24/196.47 elim (classic ((op2 (e20) (e23)) = (op2 (e20) (e23)))); [ zenon_intro zenon_H23 | zenon_intro zenon_H24 ]. % 196.24/196.47 cut (((op2 (e20) (e23)) = (op2 (e20) (e23))) = ((op2 (unit2) (e23)) = (op2 (e20) (e23)))). % 196.24/196.47 intro zenon_D_pnotp. % 196.24/196.47 apply zenon_H27. % 196.24/196.47 rewrite <- zenon_D_pnotp. % 196.24/196.47 exact zenon_H23. % 196.24/196.47 cut (((op2 (e20) (e23)) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H24]. % 196.24/196.47 cut (((op2 (e20) (e23)) = (op2 (unit2) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H1d]. % 196.24/196.47 congruence. % 196.24/196.47 apply (zenon_L2_); trivial. % 196.24/196.47 apply zenon_H24. apply refl_equal. % 196.24/196.47 apply zenon_H24. apply refl_equal. % 196.24/196.47 apply zenon_H1d6. apply sym_equal. exact zenon_H1d5. % 196.24/196.47 (* end of lemma zenon_L205_ *) % 196.24/196.47 assert (zenon_L206_ : (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> ((op2 (e21) (e23)) = (e23)) -> ((op2 (unit2) (e23)) = (e23)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e21) (e23)) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (e22) (e20)) = (e22)) -> ((op2 (unit2) (e22)) = (e22)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (unit2) (e21)) = (e21)) -> ((op2 (e23) (e22)) = (e21)) -> False). % 196.24/196.47 do 0 intro. intros zenon_H49 zenon_H1d5 zenon_H20 zenon_H1d4 zenon_Haa zenon_Ha9 zenon_H39 zenon_H38 zenon_H37 zenon_H41 zenon_H77 zenon_Hdb. % 196.24/196.47 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H1e | zenon_intro zenon_H4a ]. % 196.24/196.47 apply (zenon_L205_); trivial. % 196.24/196.47 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2b | zenon_intro zenon_H4b ]. % 196.24/196.47 apply (zenon_L46_); trivial. % 196.24/196.47 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H3f ]. % 196.24/196.47 apply (zenon_L8_); trivial. % 196.24/196.47 apply (zenon_L82_); trivial. % 196.24/196.47 (* end of lemma zenon_L206_ *) % 196.24/196.47 assert (zenon_L207_ : (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> ((op2 (e23) (e22)) = (e21)) -> ((op2 (e21) (e23)) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e21) (e23)) = (e23)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> ((op2 (unit2) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e21)) = (e21)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((op2 (e22) (unit2)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (unit2) (e23)) = (e23)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((op2 (unit2) (e22)) = (e22)) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> False). % 196.24/196.47 do 0 intro. intros zenon_Hba zenon_Hdb zenon_Haa zenon_H1d4 zenon_H1d5 zenon_Ha3 zenon_H29 zenon_H2c zenon_Ha9 zenon_H2a zenon_H39 zenon_H77 zenon_H76 zenon_H4d zenon_Hb6 zenon_H9f zenon_H56 zenon_Hb3 zenon_Ha4 zenon_Haf zenon_H20 zenon_Hb5 zenon_H5d zenon_H49 zenon_H9e zenon_H67 zenon_H54 zenon_H86 zenon_H37 zenon_H40 zenon_H41. % 196.24/196.47 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H38 | zenon_intro zenon_Hbb ]. % 196.24/196.47 apply (zenon_L206_); trivial. % 196.24/196.47 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_Ha5 | zenon_intro zenon_Hbc ]. % 196.24/196.47 apply (zenon_L56_); trivial. % 196.24/196.47 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H85 | zenon_intro zenon_Hb0 ]. % 196.24/196.47 apply (zenon_L63_); trivial. % 196.24/196.47 apply (zenon_L55_); trivial. % 196.24/196.47 (* end of lemma zenon_L207_ *) % 196.24/196.47 assert (zenon_L208_ : (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (unit2) (e23)) = (e23)) -> ((unit2) = (e20)) -> ((op2 (e22) (e23)) = (e23)) -> False). % 196.24/196.47 do 0 intro. intros zenon_H1d1 zenon_H20 zenon_H1e zenon_H1d7. % 196.24/196.47 cut (((op2 (unit2) (e23)) = (e23)) = ((op2 (e20) (e23)) = (op2 (e22) (e23)))). % 196.24/196.47 intro zenon_D_pnotp. % 196.24/196.47 apply zenon_H1d1. % 196.24/196.47 rewrite <- zenon_D_pnotp. % 196.24/196.47 exact zenon_H20. % 196.24/196.47 cut (((e23) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H1d8]. % 196.24/196.47 cut (((op2 (unit2) (e23)) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H27]. % 196.24/196.47 congruence. % 196.24/196.47 elim (classic ((op2 (e20) (e23)) = (op2 (e20) (e23)))); [ zenon_intro zenon_H23 | zenon_intro zenon_H24 ]. % 196.24/196.47 cut (((op2 (e20) (e23)) = (op2 (e20) (e23))) = ((op2 (unit2) (e23)) = (op2 (e20) (e23)))). % 196.24/196.47 intro zenon_D_pnotp. % 196.24/196.47 apply zenon_H27. % 196.24/196.47 rewrite <- zenon_D_pnotp. % 196.24/196.47 exact zenon_H23. % 196.24/196.47 cut (((op2 (e20) (e23)) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H24]. % 196.24/196.47 cut (((op2 (e20) (e23)) = (op2 (unit2) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H1d]. % 196.24/196.47 congruence. % 196.24/196.47 apply (zenon_L2_); trivial. % 196.24/196.47 apply zenon_H24. apply refl_equal. % 196.24/196.47 apply zenon_H24. apply refl_equal. % 196.24/196.47 apply zenon_H1d8. apply sym_equal. exact zenon_H1d7. % 196.24/196.47 (* end of lemma zenon_L208_ *) % 196.24/196.47 assert (zenon_L209_ : (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> ((op2 (e22) (e23)) = (e23)) -> ((op2 (unit2) (e23)) = (e23)) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (e21) (e21))) -> ((op2 (unit2) (e20)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (e22) (e20)) = (e22)) -> ((op2 (unit2) (e22)) = (e22)) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> False). % 196.24/196.47 do 0 intro. intros zenon_H49 zenon_H1d7 zenon_H20 zenon_H1d1 zenon_H2c zenon_H2a zenon_H29 zenon_H39 zenon_H38 zenon_H37 zenon_H40 zenon_H41. % 196.24/196.47 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H1e | zenon_intro zenon_H4a ]. % 196.24/196.47 apply (zenon_L208_); trivial. % 196.24/196.47 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2b | zenon_intro zenon_H4b ]. % 196.24/196.47 apply (zenon_L5_); trivial. % 196.24/196.47 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H3f ]. % 196.24/196.47 apply (zenon_L8_); trivial. % 196.24/196.47 apply (zenon_L9_); trivial. % 196.24/196.47 (* end of lemma zenon_L209_ *) % 196.24/196.47 assert (zenon_L210_ : (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> ((op2 (e22) (e21)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e22) (unit2)) = (e22)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e21)) = (e21)) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e21) (e23)) = (e22)) -> ((op2 (e23) (e22)) = (e21)) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> ((op2 (e22) (e20)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (unit2) (e20)) = (e20)) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (unit2) (e23)) = (e23)) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((op2 (unit2) (e22)) = (e22)) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> False). % 196.24/196.47 do 0 intro. intros zenon_H1d9 zenon_H1cd zenon_H1ce zenon_H5d zenon_Hb5 zenon_Haf zenon_Ha4 zenon_Hb3 zenon_H56 zenon_H9f zenon_Hb6 zenon_H4d zenon_H76 zenon_H77 zenon_Ha9 zenon_Ha3 zenon_H1d4 zenon_Haa zenon_Hdb zenon_Hba zenon_H38 zenon_H39 zenon_H29 zenon_H2a zenon_H2c zenon_H1d1 zenon_H20 zenon_H49 zenon_H9e zenon_H67 zenon_H54 zenon_H86 zenon_H37 zenon_H40 zenon_H41. % 196.24/196.47 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1da ]. % 196.24/196.47 apply (zenon_L204_); trivial. % 196.24/196.47 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H1db ]. % 196.24/196.47 apply (zenon_L207_); trivial. % 196.24/196.47 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1d7 | zenon_intro zenon_H87 ]. % 196.24/196.47 apply (zenon_L209_); trivial. % 196.24/196.47 apply (zenon_L40_); trivial. % 196.24/196.47 (* end of lemma zenon_L210_ *) % 196.24/196.47 assert (zenon_L211_ : (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (e21) (e21))) -> ((op2 (unit2) (e20)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (e22) (e20)) = (e22)) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> ((op2 (e23) (e22)) = (e21)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> ((op2 (unit2) (e21)) = (e21)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> ((op2 (e22) (e21)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (unit2) (e22)) = (e22)) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((op2 (unit2) (e23)) = (e23)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e22) (unit2)) = (e22)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> False). % 196.24/196.47 do 0 intro. intros zenon_H1d1 zenon_H2c zenon_H2a zenon_H29 zenon_H39 zenon_H38 zenon_Hba zenon_Hdb zenon_H1d4 zenon_Ha3 zenon_Ha9 zenon_H77 zenon_H76 zenon_H4d zenon_Hb6 zenon_H1ce zenon_H1cd zenon_H1d9 zenon_H41 zenon_H37 zenon_H86 zenon_H54 zenon_H9e zenon_H49 zenon_H5d zenon_Hb5 zenon_H20 zenon_Haf zenon_Ha4 zenon_Hb3 zenon_H56 zenon_H9f zenon_H40 zenon_H67. % 196.24/196.47 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_H4e | zenon_intro zenon_Hb7 ]. % 196.24/196.47 apply (zenon_L41_); trivial. % 196.24/196.47 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_Haa | zenon_intro zenon_Hb8 ]. % 196.24/196.47 apply (zenon_L210_); trivial. % 196.24/196.47 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H7d ]. % 196.24/196.47 apply (zenon_L55_); trivial. % 196.24/196.47 apply (zenon_L31_); trivial. % 196.24/196.47 (* end of lemma zenon_L211_ *) % 196.24/196.47 assert (zenon_L212_ : (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((op2 (unit2) (e21)) = (e21)) -> ((unit2) = (e22)) -> ((op2 (e22) (e23)) = (e21)) -> False). % 196.24/196.47 do 0 intro. intros zenon_Hb3 zenon_H77 zenon_H35 zenon_H1dc. % 196.24/196.47 cut (((op2 (unit2) (e21)) = (e21)) = ((op2 (e22) (e21)) = (op2 (e22) (e23)))). % 196.24/196.47 intro zenon_D_pnotp. % 196.24/196.47 apply zenon_Hb3. % 196.24/196.47 rewrite <- zenon_D_pnotp. % 196.24/196.47 exact zenon_H77. % 196.24/196.47 cut (((e21) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H1dd]. % 196.24/196.47 cut (((op2 (unit2) (e21)) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H7a]. % 196.24/196.47 congruence. % 196.24/196.47 elim (classic ((op2 (e22) (e21)) = (op2 (e22) (e21)))); [ zenon_intro zenon_H7b | zenon_intro zenon_H7c ]. % 196.24/196.47 cut (((op2 (e22) (e21)) = (op2 (e22) (e21))) = ((op2 (unit2) (e21)) = (op2 (e22) (e21)))). % 196.24/196.47 intro zenon_D_pnotp. % 196.24/196.47 apply zenon_H7a. % 196.24/196.47 rewrite <- zenon_D_pnotp. % 196.24/196.47 exact zenon_H7b. % 196.24/196.47 cut (((op2 (e22) (e21)) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H7c]. % 196.24/196.47 cut (((op2 (e22) (e21)) = (op2 (unit2) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H75]. % 196.24/196.47 congruence. % 196.24/196.47 apply (zenon_L29_); trivial. % 196.24/196.47 apply zenon_H7c. apply refl_equal. % 196.24/196.47 apply zenon_H7c. apply refl_equal. % 196.24/196.47 apply zenon_H1dd. apply sym_equal. exact zenon_H1dc. % 196.24/196.47 (* end of lemma zenon_L212_ *) % 196.24/196.47 assert (zenon_L213_ : (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e22) (e23)) = (e21)) -> ((op2 (unit2) (e21)) = (e21)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((op2 (unit2) (e23)) = (e23)) -> ((op2 (e23) (e22)) = (e23)) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> False). % 196.24/196.47 do 0 intro. intros zenon_H49 zenon_H5d zenon_H54 zenon_H41 zenon_H1dc zenon_H77 zenon_Hb3 zenon_H20 zenon_H6c zenon_H86. % 196.24/196.47 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H1e | zenon_intro zenon_H4a ]. % 196.24/196.47 apply (zenon_L24_); trivial. % 196.24/196.47 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2b | zenon_intro zenon_H4b ]. % 196.24/196.47 apply (zenon_L25_); trivial. % 196.24/196.47 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H3f ]. % 196.24/196.47 apply (zenon_L212_); trivial. % 196.24/196.47 apply (zenon_L36_); trivial. % 196.24/196.47 (* end of lemma zenon_L213_ *) % 196.24/196.47 assert (zenon_L214_ : (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> ((op2 (e20) (e23)) = (e22)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (unit2) (e20)) = (e20)) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (unit2) (e23)) = (e23)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((op2 (unit2) (e21)) = (e21)) -> ((op2 (e22) (e23)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((op2 (unit2) (e22)) = (e22)) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> False). % 196.24/196.47 do 0 intro. intros zenon_H9f zenon_H4d zenon_H4e zenon_H29 zenon_H2a zenon_H2c zenon_H56 zenon_H20 zenon_Hb3 zenon_H77 zenon_H1dc zenon_H5d zenon_H49 zenon_H9e zenon_H67 zenon_H54 zenon_H86 zenon_H37 zenon_H40 zenon_H41. % 196.24/196.47 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H55 | zenon_intro zenon_Ha0 ]. % 196.24/196.47 apply (zenon_L17_); trivial. % 196.24/196.47 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_H61 | zenon_intro zenon_Ha1 ]. % 196.24/196.47 apply (zenon_L23_); trivial. % 196.24/196.47 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H6c | zenon_intro zenon_H87 ]. % 196.24/196.47 apply (zenon_L213_); trivial. % 196.24/196.47 apply (zenon_L40_); trivial. % 196.24/196.47 (* end of lemma zenon_L214_ *) % 196.24/196.47 assert (zenon_L215_ : ((op2 (e22) (e23)) = (e21)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e21)) = (e21)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e20)) = (e20)) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((e20) = (e23))) -> ((op2 (e22) (e20)) = (e22)) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> ((op2 (e21) (unit2)) = (e21)) -> (~((h8 (op1 (e10) (e10))) = (op2 (h8 (e10)) (h8 (e10))))) -> ((h8 (e10)) = (op2 (e22) (e22))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((e12) = (op1 (e13) (e11))) -> ((op1 (unit1) (e12)) = (e12)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((op1 (e11) (unit1)) = (e11)) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((e10) = (op1 (e11) (e11))) -> ((op1 (unit1) (e10)) = (e10)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((op1 (e10) (unit1)) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (unit2) (e22)) = (e22)) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((op2 (unit2) (e23)) = (e23)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e22) (unit2)) = (e22)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> False). % 196.24/196.47 do 0 intro. intros zenon_H1dc zenon_H76 zenon_H77 zenon_H39 zenon_H2a zenon_Ha9 zenon_H1ca zenon_H22 zenon_Hbd zenon_H38 zenon_H1c1 zenon_Hcf zenon_Hf3 zenon_Hf0 zenon_H1ab zenon_H192 zenon_H17e zenon_H1b8 zenon_H18e zenon_H185 zenon_H186 zenon_H18b zenon_H143 zenon_H1a3 zenon_H19c zenon_H1a7 zenon_H120 zenon_H105 zenon_H15b zenon_H10f zenon_H13b zenon_H172 zenon_H11a zenon_H14b zenon_H13a zenon_H111 zenon_H1b5 zenon_H178 zenon_H173 zenon_H196 zenon_H197 zenon_H127 zenon_H1c0 zenon_H133 zenon_H132 zenon_H131 zenon_H1bb zenon_H104 zenon_H121 zenon_H14c zenon_Hb6 zenon_H4d zenon_H1c7 zenon_Hea zenon_H1c4 zenon_Hba zenon_Hce zenon_Hd4 zenon_Ha3 zenon_Hc1 zenon_Hdf zenon_H2c zenon_H29 zenon_H41 zenon_H37 zenon_H86 zenon_H54 zenon_H9e zenon_H49 zenon_H5d zenon_Hb5 zenon_H20 zenon_Haf zenon_Ha4 zenon_Hb3 zenon_H56 zenon_H9f zenon_H40 zenon_H67. % 196.24/196.47 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_H4e | zenon_intro zenon_Hb7 ]. % 196.24/196.47 apply (zenon_L214_); trivial. % 196.24/196.47 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_Haa | zenon_intro zenon_Hb8 ]. % 196.24/196.47 apply (zenon_L200_); trivial. % 196.24/196.47 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H7d ]. % 196.24/196.47 apply (zenon_L55_); trivial. % 196.24/196.47 apply (zenon_L31_); trivial. % 196.24/196.47 (* end of lemma zenon_L215_ *) % 196.24/196.47 assert (zenon_L216_ : (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e22) (e21)) = (e23)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e21)) = (e21)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e20)) = (e20)) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((e20) = (e23))) -> ((op2 (e22) (e20)) = (e22)) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> ((op2 (e21) (unit2)) = (e21)) -> (~((h8 (op1 (e10) (e10))) = (op2 (h8 (e10)) (h8 (e10))))) -> ((h8 (e10)) = (op2 (e22) (e22))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((e12) = (op1 (e13) (e11))) -> ((op1 (unit1) (e12)) = (e12)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((op1 (e11) (unit1)) = (e11)) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((e10) = (op1 (e11) (e11))) -> ((op1 (unit1) (e10)) = (e10)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((op1 (e10) (unit1)) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (unit2) (e22)) = (e22)) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((op2 (unit2) (e23)) = (e23)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e22) (unit2)) = (e22)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> False). % 196.24/196.47 do 0 intro. intros zenon_H1de zenon_Hd8 zenon_H1d9 zenon_H1cd zenon_H1d4 zenon_H1d1 zenon_Hc7 zenon_H76 zenon_H77 zenon_H39 zenon_H2a zenon_Ha9 zenon_H1ca zenon_H22 zenon_Hbd zenon_H38 zenon_H1c1 zenon_Hcf zenon_Hf3 zenon_Hf0 zenon_H1ab zenon_H192 zenon_H17e zenon_H1b8 zenon_H18e zenon_H185 zenon_H186 zenon_H18b zenon_H143 zenon_H1a3 zenon_H19c zenon_H1a7 zenon_H120 zenon_H105 zenon_H15b zenon_H10f zenon_H13b zenon_H172 zenon_H11a zenon_H14b zenon_H13a zenon_H111 zenon_H1b5 zenon_H178 zenon_H173 zenon_H196 zenon_H197 zenon_H127 zenon_H1c0 zenon_H133 zenon_H132 zenon_H131 zenon_H1bb zenon_H104 zenon_H121 zenon_H14c zenon_Hb6 zenon_H4d zenon_H1c7 zenon_Hea zenon_H1c4 zenon_Hba zenon_Hce zenon_Hd4 zenon_Ha3 zenon_Hc1 zenon_Hdf zenon_H2c zenon_H29 zenon_H41 zenon_H37 zenon_H86 zenon_H54 zenon_H9e zenon_H49 zenon_H5d zenon_Hb5 zenon_H20 zenon_Haf zenon_Ha4 zenon_Hb3 zenon_H56 zenon_H9f zenon_H40 zenon_H67. % 196.24/196.47 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_Hd9 | zenon_intro zenon_H1df ]. % 196.24/196.47 apply (zenon_L84_); trivial. % 196.24/196.47 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H1ce | zenon_intro zenon_H1e0 ]. % 196.24/196.47 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_Hc0 | zenon_intro zenon_He0 ]. % 196.24/196.47 apply (zenon_L71_); trivial. % 196.24/196.47 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hd0 | zenon_intro zenon_He1 ]. % 196.24/196.47 apply (zenon_L78_); trivial. % 196.24/196.47 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_H78 | zenon_intro zenon_Hdb ]. % 196.24/196.47 apply (zenon_L201_); trivial. % 196.24/196.47 apply (zenon_L211_); trivial. % 196.24/196.47 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H78 | zenon_intro zenon_H1dc ]. % 196.24/196.47 apply (zenon_L201_); trivial. % 196.24/196.47 apply (zenon_L215_); trivial. % 196.24/196.47 (* end of lemma zenon_L216_ *) % 196.24/196.47 assert (zenon_L217_ : (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((op2 (e22) (unit2)) = (e22)) -> ((op2 (e22) (e21)) = (e22)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (unit2) (e20)) = (e20)) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (unit2) (e23)) = (e23)) -> ((op2 (e22) (e21)) = (e23)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((op2 (unit2) (e22)) = (e22)) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> False). % 196.24/196.47 do 0 intro. intros zenon_H9f zenon_Ha3 zenon_Ha4 zenon_Ha5 zenon_H29 zenon_H2a zenon_H2c zenon_H56 zenon_H20 zenon_Hc7 zenon_Hb3 zenon_H5d zenon_H49 zenon_H9e zenon_H67 zenon_H54 zenon_H86 zenon_H37 zenon_H40 zenon_H41. % 196.24/196.47 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H55 | zenon_intro zenon_Ha0 ]. % 196.24/196.47 apply (zenon_L44_); trivial. % 196.24/196.47 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_H61 | zenon_intro zenon_Ha1 ]. % 196.24/196.47 apply (zenon_L23_); trivial. % 196.24/196.47 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H6c | zenon_intro zenon_H87 ]. % 196.24/196.47 apply (zenon_L70_); trivial. % 196.24/196.47 apply (zenon_L40_); trivial. % 196.24/196.47 (* end of lemma zenon_L217_ *) % 196.24/196.47 assert (zenon_L218_ : (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((op2 (e20) (e22)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (unit2) (e23)) = (e23)) -> ((op2 (unit2) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e21)) = (e21)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((op2 (unit2) (e22)) = (e22)) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> False). % 196.24/196.47 do 0 intro. intros zenon_H9f zenon_Hc1 zenon_Hc0 zenon_H29 zenon_H2c zenon_H56 zenon_H20 zenon_H2a zenon_H39 zenon_H77 zenon_H76 zenon_H5d zenon_H49 zenon_H9e zenon_H67 zenon_H54 zenon_H86 zenon_H37 zenon_H40 zenon_H41. % 196.24/196.47 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H55 | zenon_intro zenon_Ha0 ]. % 196.24/196.47 apply (zenon_L67_); trivial. % 196.24/196.47 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_H61 | zenon_intro zenon_Ha1 ]. % 196.24/196.47 apply (zenon_L23_); trivial. % 196.24/196.47 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H6c | zenon_intro zenon_H87 ]. % 196.24/196.47 apply (zenon_L37_); trivial. % 196.24/196.47 apply (zenon_L40_); trivial. % 196.24/196.47 (* end of lemma zenon_L218_ *) % 196.24/196.47 assert (zenon_L219_ : (~((op2 (e20) (e20)) = (op2 (unit2) (e20)))) -> ((unit2) = (e20)) -> False). % 196.24/196.47 do 0 intro. intros zenon_H1e1 zenon_H1e. % 196.24/196.47 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H28]. % 196.24/196.47 cut (((e20) = (unit2))); [idtac | apply NNPP; zenon_intro zenon_H1f]. % 196.24/196.47 congruence. % 196.24/196.47 apply zenon_H1f. apply sym_equal. exact zenon_H1e. % 196.24/196.47 apply zenon_H28. apply refl_equal. % 196.24/196.47 (* end of lemma zenon_L219_ *) % 196.24/196.47 assert (zenon_L220_ : (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> ((op2 (unit2) (e20)) = (e20)) -> ((unit2) = (e20)) -> ((op2 (e20) (e21)) = (e20)) -> False). % 196.24/196.47 do 0 intro. intros zenon_H1e2 zenon_H2a zenon_H1e zenon_H1e3. % 196.24/196.47 cut (((op2 (unit2) (e20)) = (e20)) = ((op2 (e20) (e20)) = (op2 (e20) (e21)))). % 196.24/196.47 intro zenon_D_pnotp. % 196.24/196.47 apply zenon_H1e2. % 196.24/196.47 rewrite <- zenon_D_pnotp. % 196.24/196.47 exact zenon_H2a. % 196.24/196.47 cut (((e20) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H1e4]. % 196.24/196.47 cut (((op2 (unit2) (e20)) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1e5]. % 196.24/196.47 congruence. % 196.24/196.47 elim (classic ((op2 (e20) (e20)) = (op2 (e20) (e20)))); [ zenon_intro zenon_He3 | zenon_intro zenon_He4 ]. % 196.24/196.47 cut (((op2 (e20) (e20)) = (op2 (e20) (e20))) = ((op2 (unit2) (e20)) = (op2 (e20) (e20)))). % 196.24/196.47 intro zenon_D_pnotp. % 196.24/196.47 apply zenon_H1e5. % 196.24/196.47 rewrite <- zenon_D_pnotp. % 196.24/196.47 exact zenon_He3. % 196.24/196.47 cut (((op2 (e20) (e20)) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_He4]. % 196.24/196.47 cut (((op2 (e20) (e20)) = (op2 (unit2) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1e1]. % 196.24/196.47 congruence. % 196.24/196.47 apply (zenon_L219_); trivial. % 196.24/196.47 apply zenon_He4. apply refl_equal. % 196.24/196.47 apply zenon_He4. apply refl_equal. % 196.24/196.47 apply zenon_H1e4. apply sym_equal. exact zenon_H1e3. % 196.24/196.47 (* end of lemma zenon_L220_ *) % 196.24/196.47 assert (zenon_L221_ : (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> ((op2 (e20) (e21)) = (e20)) -> ((op2 (unit2) (e20)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> ((op2 (e21) (e23)) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> ((op2 (e22) (e22)) = (e21)) -> ((op2 (unit2) (e21)) = (e21)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e22)) = (e22)) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> False). % 196.24/196.47 do 0 intro. intros zenon_H49 zenon_H1e3 zenon_H2a zenon_H1e2 zenon_Haa zenon_Ha9 zenon_H78 zenon_H77 zenon_H76 zenon_H37 zenon_H40 zenon_H41. % 196.24/196.47 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H1e | zenon_intro zenon_H4a ]. % 196.24/196.47 apply (zenon_L220_); trivial. % 196.24/196.47 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2b | zenon_intro zenon_H4b ]. % 196.24/196.47 apply (zenon_L46_); trivial. % 196.24/196.47 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H3f ]. % 196.24/196.47 apply (zenon_L30_); trivial. % 196.24/196.47 apply (zenon_L9_); trivial. % 196.24/196.47 (* end of lemma zenon_L221_ *) % 196.24/196.47 assert (zenon_L222_ : (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e21)) = (e21)) -> ((op2 (e22) (e22)) = (e21)) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> ((op2 (unit2) (e20)) = (e20)) -> ((op2 (e20) (e21)) = (e20)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (unit2) (e22)) = (e22)) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((op2 (unit2) (e23)) = (e23)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e22) (unit2)) = (e22)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> False). % 196.24/196.47 do 0 intro. intros zenon_Hb6 zenon_H2c zenon_H29 zenon_H4d zenon_H76 zenon_H77 zenon_H78 zenon_Ha9 zenon_H1e2 zenon_H2a zenon_H1e3 zenon_H41 zenon_H37 zenon_H86 zenon_H54 zenon_H9e zenon_H49 zenon_H5d zenon_Hb5 zenon_H20 zenon_Haf zenon_Ha4 zenon_Hb3 zenon_H56 zenon_H9f zenon_H40 zenon_H67. % 196.24/196.47 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_H4e | zenon_intro zenon_Hb7 ]. % 196.24/196.47 apply (zenon_L86_); trivial. % 196.24/196.47 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_Haa | zenon_intro zenon_Hb8 ]. % 196.24/196.47 apply (zenon_L221_); trivial. % 196.24/196.47 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H7d ]. % 196.24/196.47 apply (zenon_L55_); trivial. % 196.24/196.47 apply (zenon_L31_); trivial. % 196.24/196.47 (* end of lemma zenon_L222_ *) % 196.24/196.47 assert (zenon_L223_ : (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> ((op2 (e20) (e21)) = (e20)) -> ((op2 (unit2) (e20)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e20)) = (e23)) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (e22) (e20)) = (e22)) -> ((op2 (unit2) (e22)) = (e22)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (unit2) (e21)) = (e21)) -> ((op2 (e23) (e22)) = (e21)) -> False). % 196.24/196.47 do 0 intro. intros zenon_H49 zenon_H1e3 zenon_H2a zenon_H1e2 zenon_H56 zenon_H55 zenon_H54 zenon_H39 zenon_H38 zenon_H37 zenon_H41 zenon_H77 zenon_Hdb. % 196.24/196.47 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H1e | zenon_intro zenon_H4a ]. % 196.24/196.47 apply (zenon_L220_); trivial. % 196.24/196.47 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2b | zenon_intro zenon_H4b ]. % 196.24/196.47 apply (zenon_L14_); trivial. % 196.24/196.47 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H3f ]. % 196.24/196.47 apply (zenon_L8_); trivial. % 196.24/196.47 apply (zenon_L82_); trivial. % 196.24/196.47 (* end of lemma zenon_L223_ *) % 196.24/196.47 assert (zenon_L224_ : (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((op2 (e23) (e22)) = (e21)) -> ((op2 (e22) (e20)) = (e22)) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> ((op2 (e20) (e21)) = (e20)) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> ((op2 (e21) (e23)) = (e22)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (unit2) (e23)) = (e23)) -> ((op2 (unit2) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e21)) = (e21)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((op2 (unit2) (e22)) = (e22)) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> False). % 196.24/196.47 do 0 intro. intros zenon_H9f zenon_Hdb zenon_H38 zenon_H1e2 zenon_H1e3 zenon_Ha9 zenon_Haa zenon_H56 zenon_H20 zenon_H2a zenon_H39 zenon_H77 zenon_H76 zenon_H5d zenon_H49 zenon_H9e zenon_H67 zenon_H54 zenon_H86 zenon_H37 zenon_H40 zenon_H41. % 196.24/196.47 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H55 | zenon_intro zenon_Ha0 ]. % 196.24/196.47 apply (zenon_L223_); trivial. % 196.24/196.47 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_H61 | zenon_intro zenon_Ha1 ]. % 196.24/196.47 apply (zenon_L47_); trivial. % 196.24/196.47 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H6c | zenon_intro zenon_H87 ]. % 196.24/196.47 apply (zenon_L37_); trivial. % 196.24/196.47 apply (zenon_L40_); trivial. % 196.24/196.47 (* end of lemma zenon_L224_ *) % 196.24/196.47 assert (zenon_L225_ : (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e21) (e23)) = (e22)) -> ((op2 (unit2) (e22)) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> ((op2 (e23) (e21)) = (e23)) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (unit2) (e21)) = (e21)) -> ((op2 (e23) (e22)) = (e21)) -> False). % 196.24/196.47 do 0 intro. intros zenon_H49 zenon_H56 zenon_Haa zenon_H37 zenon_Ha9 zenon_H61 zenon_H54 zenon_H41 zenon_H77 zenon_Hdb. % 196.24/196.47 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H1e | zenon_intro zenon_H4a ]. % 196.24/196.47 apply (zenon_L19_); trivial. % 196.24/196.47 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2b | zenon_intro zenon_H4b ]. % 196.24/196.47 apply (zenon_L46_); trivial. % 196.24/196.47 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H3f ]. % 196.24/196.47 apply (zenon_L20_); trivial. % 196.24/196.47 apply (zenon_L82_); trivial. % 196.24/196.47 (* end of lemma zenon_L225_ *) % 196.24/196.47 assert (zenon_L226_ : (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((op2 (e22) (unit2)) = (e22)) -> ((op2 (e22) (e22)) = (e22)) -> ((op2 (e23) (e22)) = (e21)) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> ((op2 (e21) (e23)) = (e22)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (unit2) (e23)) = (e23)) -> ((op2 (unit2) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e21)) = (e21)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((op2 (unit2) (e22)) = (e22)) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> False). % 196.24/196.47 do 0 intro. intros zenon_H9f zenon_Ha4 zenon_H85 zenon_Hdb zenon_Ha9 zenon_Haa zenon_H56 zenon_H20 zenon_H2a zenon_H39 zenon_H77 zenon_H76 zenon_H5d zenon_H49 zenon_H9e zenon_H67 zenon_H54 zenon_H86 zenon_H37 zenon_H40 zenon_H41. % 196.24/196.47 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H55 | zenon_intro zenon_Ha0 ]. % 196.24/196.47 apply (zenon_L58_); trivial. % 196.24/196.47 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_H61 | zenon_intro zenon_Ha1 ]. % 196.24/196.47 apply (zenon_L225_); trivial. % 196.24/196.47 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H6c | zenon_intro zenon_H87 ]. % 196.24/196.47 apply (zenon_L37_); trivial. % 196.24/196.47 apply (zenon_L40_); trivial. % 196.24/196.48 (* end of lemma zenon_L226_ *) % 196.24/196.48 assert (zenon_L227_ : (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e21)) = (e21)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e20)) = (e20)) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> ((op2 (e23) (e22)) = (e21)) -> ((op2 (e22) (e22)) = (e22)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (unit2) (e22)) = (e22)) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((op2 (unit2) (e23)) = (e23)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e22) (unit2)) = (e22)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> False). % 196.24/196.48 do 0 intro. intros zenon_Hb6 zenon_H4d zenon_H76 zenon_H77 zenon_H39 zenon_H2a zenon_Ha9 zenon_Hdb zenon_H85 zenon_H41 zenon_H37 zenon_H86 zenon_H54 zenon_H9e zenon_H49 zenon_H5d zenon_Hb5 zenon_H20 zenon_Haf zenon_Ha4 zenon_Hb3 zenon_H56 zenon_H9f zenon_H40 zenon_H67. % 196.24/196.48 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_H4e | zenon_intro zenon_Hb7 ]. % 196.24/196.48 apply (zenon_L61_); trivial. % 196.24/196.48 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_Haa | zenon_intro zenon_Hb8 ]. % 196.24/196.48 apply (zenon_L226_); trivial. % 196.24/196.48 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H7d ]. % 196.24/196.48 apply (zenon_L55_); trivial. % 196.24/196.48 apply (zenon_L31_); trivial. % 196.24/196.48 (* end of lemma zenon_L227_ *) % 196.24/196.48 assert (zenon_L228_ : (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((op2 (e21) (unit2)) = (e21)) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> ((op2 (e20) (e21)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> ((op2 (unit2) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e21)) = (e21)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((op2 (e22) (unit2)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (unit2) (e23)) = (e23)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((op2 (unit2) (e22)) = (e22)) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> False). % 196.24/196.48 do 0 intro. intros zenon_Hdf zenon_Hc1 zenon_Hd4 zenon_Hce zenon_Hcf zenon_Hba zenon_H1e2 zenon_H1e3 zenon_Ha3 zenon_H29 zenon_H2c zenon_Ha9 zenon_H2a zenon_H39 zenon_H77 zenon_H76 zenon_H4d zenon_Hb6 zenon_H9f zenon_H56 zenon_Hb3 zenon_Ha4 zenon_Haf zenon_H20 zenon_Hb5 zenon_H5d zenon_H49 zenon_H9e zenon_H67 zenon_H54 zenon_H86 zenon_H37 zenon_H40 zenon_H41. % 196.24/196.48 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_Hc0 | zenon_intro zenon_He0 ]. % 196.24/196.48 apply (zenon_L218_); trivial. % 196.24/196.48 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hd0 | zenon_intro zenon_He1 ]. % 196.24/196.48 apply (zenon_L79_); trivial. % 196.24/196.48 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_H78 | zenon_intro zenon_Hdb ]. % 196.24/196.48 apply (zenon_L222_); trivial. % 196.24/196.48 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H38 | zenon_intro zenon_Hbb ]. % 196.24/196.48 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_H4e | zenon_intro zenon_Hb7 ]. % 196.24/196.48 apply (zenon_L41_); trivial. % 196.24/196.48 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_Haa | zenon_intro zenon_Hb8 ]. % 196.24/196.48 apply (zenon_L224_); trivial. % 196.24/196.48 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H7d ]. % 196.24/196.48 apply (zenon_L55_); trivial. % 196.24/196.48 apply (zenon_L31_); trivial. % 196.24/196.48 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_Ha5 | zenon_intro zenon_Hbc ]. % 196.24/196.48 apply (zenon_L56_); trivial. % 196.24/196.48 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H85 | zenon_intro zenon_Hb0 ]. % 196.24/196.48 apply (zenon_L227_); trivial. % 196.24/196.48 apply (zenon_L55_); trivial. % 196.24/196.48 (* end of lemma zenon_L228_ *) % 196.24/196.48 assert (zenon_L229_ : (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> ((op2 (unit2) (e20)) = (e20)) -> ((unit2) = (e20)) -> ((op2 (e20) (e22)) = (e20)) -> False). % 196.24/196.48 do 0 intro. intros zenon_H1e6 zenon_H2a zenon_H1e zenon_H1e7. % 196.24/196.48 cut (((op2 (unit2) (e20)) = (e20)) = ((op2 (e20) (e20)) = (op2 (e20) (e22)))). % 196.24/196.48 intro zenon_D_pnotp. % 196.24/196.48 apply zenon_H1e6. % 196.24/196.48 rewrite <- zenon_D_pnotp. % 196.24/196.48 exact zenon_H2a. % 196.24/196.48 cut (((e20) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H1e8]. % 196.24/196.48 cut (((op2 (unit2) (e20)) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1e5]. % 196.24/196.48 congruence. % 196.24/196.48 elim (classic ((op2 (e20) (e20)) = (op2 (e20) (e20)))); [ zenon_intro zenon_He3 | zenon_intro zenon_He4 ]. % 196.24/196.48 cut (((op2 (e20) (e20)) = (op2 (e20) (e20))) = ((op2 (unit2) (e20)) = (op2 (e20) (e20)))). % 196.24/196.48 intro zenon_D_pnotp. % 196.24/196.48 apply zenon_H1e5. % 196.24/196.48 rewrite <- zenon_D_pnotp. % 196.24/196.48 exact zenon_He3. % 196.24/196.48 cut (((op2 (e20) (e20)) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_He4]. % 196.24/196.48 cut (((op2 (e20) (e20)) = (op2 (unit2) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1e1]. % 196.24/196.48 congruence. % 196.24/196.48 apply (zenon_L219_); trivial. % 196.24/196.48 apply zenon_He4. apply refl_equal. % 196.24/196.48 apply zenon_He4. apply refl_equal. % 196.24/196.48 apply zenon_H1e8. apply sym_equal. exact zenon_H1e7. % 196.24/196.48 (* end of lemma zenon_L229_ *) % 196.24/196.48 assert (zenon_L230_ : (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> ((op2 (e20) (e22)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> ((e20) = (op2 (e21) (e21))) -> ((op2 (unit2) (e20)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (e22) (e22)) = (e21)) -> ((op2 (unit2) (e21)) = (e21)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e22)) = (e22)) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> False). % 196.24/196.48 do 0 intro. intros zenon_H49 zenon_H1e7 zenon_H1e6 zenon_H2c zenon_H2a zenon_H29 zenon_H78 zenon_H77 zenon_H76 zenon_H37 zenon_H40 zenon_H41. % 196.24/196.48 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H1e | zenon_intro zenon_H4a ]. % 196.24/196.48 apply (zenon_L229_); trivial. % 196.24/196.48 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2b | zenon_intro zenon_H4b ]. % 196.24/196.48 apply (zenon_L5_); trivial. % 196.24/196.48 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H3f ]. % 196.24/196.48 apply (zenon_L30_); trivial. % 196.24/196.48 apply (zenon_L9_); trivial. % 196.24/196.48 (* end of lemma zenon_L230_ *) % 196.24/196.48 assert (zenon_L231_ : (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> ((op2 (e20) (e22)) = (e20)) -> ((op2 (unit2) (e20)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e20)) = (e23)) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (e22) (e20)) = (e22)) -> ((op2 (unit2) (e22)) = (e22)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (unit2) (e21)) = (e21)) -> ((op2 (e23) (e22)) = (e21)) -> False). % 196.24/196.48 do 0 intro. intros zenon_H49 zenon_H1e7 zenon_H2a zenon_H1e6 zenon_H56 zenon_H55 zenon_H54 zenon_H39 zenon_H38 zenon_H37 zenon_H41 zenon_H77 zenon_Hdb. % 196.24/196.48 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H1e | zenon_intro zenon_H4a ]. % 196.24/196.48 apply (zenon_L229_); trivial. % 196.24/196.48 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2b | zenon_intro zenon_H4b ]. % 196.24/196.48 apply (zenon_L14_); trivial. % 196.24/196.48 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H3f ]. % 196.24/196.48 apply (zenon_L8_); trivial. % 196.24/196.48 apply (zenon_L82_); trivial. % 196.24/196.48 (* end of lemma zenon_L231_ *) % 196.24/196.48 assert (zenon_L232_ : (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((op2 (e22) (e20)) = (e22)) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> ((op2 (e20) (e22)) = (e20)) -> ((op2 (e23) (e22)) = (e21)) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> ((op2 (e21) (e23)) = (e22)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (unit2) (e23)) = (e23)) -> ((op2 (unit2) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e21)) = (e21)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((op2 (unit2) (e22)) = (e22)) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> False). % 196.24/196.48 do 0 intro. intros zenon_H9f zenon_H38 zenon_H1e6 zenon_H1e7 zenon_Hdb zenon_Ha9 zenon_Haa zenon_H56 zenon_H20 zenon_H2a zenon_H39 zenon_H77 zenon_H76 zenon_H5d zenon_H49 zenon_H9e zenon_H67 zenon_H54 zenon_H86 zenon_H37 zenon_H40 zenon_H41. % 196.24/196.48 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H55 | zenon_intro zenon_Ha0 ]. % 196.24/196.48 apply (zenon_L231_); trivial. % 196.24/196.48 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_H61 | zenon_intro zenon_Ha1 ]. % 196.24/196.48 apply (zenon_L225_); trivial. % 196.24/196.48 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H6c | zenon_intro zenon_H87 ]. % 196.24/196.48 apply (zenon_L37_); trivial. % 196.24/196.48 apply (zenon_L40_); trivial. % 196.24/196.48 (* end of lemma zenon_L232_ *) % 196.24/196.48 assert (zenon_L233_ : (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((op2 (e21) (unit2)) = (e21)) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> ((op2 (e20) (e22)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> ((op2 (unit2) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e21)) = (e21)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((op2 (e22) (unit2)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (unit2) (e23)) = (e23)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((op2 (unit2) (e22)) = (e22)) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> False). % 196.24/196.48 do 0 intro. intros zenon_Hdf zenon_Hc1 zenon_Hd4 zenon_Hce zenon_Hcf zenon_Hba zenon_H1e6 zenon_H1e7 zenon_Ha3 zenon_H29 zenon_H2c zenon_Ha9 zenon_H2a zenon_H39 zenon_H77 zenon_H76 zenon_H4d zenon_Hb6 zenon_H9f zenon_H56 zenon_Hb3 zenon_Ha4 zenon_Haf zenon_H20 zenon_Hb5 zenon_H5d zenon_H49 zenon_H9e zenon_H67 zenon_H54 zenon_H86 zenon_H37 zenon_H40 zenon_H41. % 196.24/196.48 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_Hc0 | zenon_intro zenon_He0 ]. % 196.24/196.48 apply (zenon_L218_); trivial. % 196.24/196.48 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hd0 | zenon_intro zenon_He1 ]. % 196.24/196.48 apply (zenon_L79_); trivial. % 196.24/196.48 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_H78 | zenon_intro zenon_Hdb ]. % 196.24/196.48 apply (zenon_L230_); trivial. % 196.24/196.48 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H38 | zenon_intro zenon_Hbb ]. % 196.24/196.48 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_H4e | zenon_intro zenon_Hb7 ]. % 196.24/196.48 apply (zenon_L41_); trivial. % 196.24/196.48 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_Haa | zenon_intro zenon_Hb8 ]. % 196.24/196.48 apply (zenon_L232_); trivial. % 196.24/196.48 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H7d ]. % 196.24/196.48 apply (zenon_L55_); trivial. % 196.24/196.48 apply (zenon_L31_); trivial. % 196.24/196.48 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_Ha5 | zenon_intro zenon_Hbc ]. % 196.24/196.48 apply (zenon_L56_); trivial. % 196.24/196.48 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H85 | zenon_intro zenon_Hb0 ]. % 196.24/196.48 apply (zenon_L63_); trivial. % 196.24/196.48 apply (zenon_L55_); trivial. % 196.24/196.48 (* end of lemma zenon_L233_ *) % 196.24/196.48 assert (zenon_L234_ : (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> ((op2 (e20) (unit2)) = (e20)) -> ((unit2) = (e22)) -> ((op2 (e20) (e23)) = (e20)) -> False). % 196.24/196.48 do 0 intro. intros zenon_H4d zenon_H1e9 zenon_H35 zenon_H1ea. % 196.24/196.48 cut (((op2 (e20) (unit2)) = (e20)) = ((op2 (e20) (e22)) = (op2 (e20) (e23)))). % 196.24/196.48 intro zenon_D_pnotp. % 196.24/196.48 apply zenon_H4d. % 196.24/196.48 rewrite <- zenon_D_pnotp. % 196.24/196.48 exact zenon_H1e9. % 196.24/196.48 cut (((e20) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H1eb]. % 196.24/196.48 cut (((op2 (e20) (unit2)) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H1ec]. % 196.24/196.48 congruence. % 196.24/196.48 elim (classic ((op2 (e20) (e22)) = (op2 (e20) (e22)))); [ zenon_intro zenon_H51 | zenon_intro zenon_H52 ]. % 196.24/196.48 cut (((op2 (e20) (e22)) = (op2 (e20) (e22))) = ((op2 (e20) (unit2)) = (op2 (e20) (e22)))). % 196.24/196.48 intro zenon_D_pnotp. % 196.24/196.48 apply zenon_H1ec. % 196.24/196.48 rewrite <- zenon_D_pnotp. % 196.24/196.48 exact zenon_H51. % 196.24/196.48 cut (((op2 (e20) (e22)) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H52]. % 196.24/196.48 cut (((op2 (e20) (e22)) = (op2 (e20) (unit2)))); [idtac | apply NNPP; zenon_intro zenon_H1ed]. % 196.24/196.48 congruence. % 196.24/196.48 cut (((e22) = (unit2))); [idtac | apply NNPP; zenon_intro zenon_H36]. % 196.24/196.48 cut (((e20) = (e20))); [idtac | apply NNPP; zenon_intro zenon_H28]. % 196.24/196.48 congruence. % 196.24/196.48 apply zenon_H28. apply refl_equal. % 196.24/196.48 apply zenon_H36. apply sym_equal. exact zenon_H35. % 196.24/196.48 apply zenon_H52. apply refl_equal. % 196.24/196.48 apply zenon_H52. apply refl_equal. % 196.24/196.48 apply zenon_H1eb. apply sym_equal. exact zenon_H1ea. % 196.24/196.48 (* end of lemma zenon_L234_ *) % 196.24/196.48 assert (zenon_L235_ : (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e20) (e23)) = (e20)) -> ((op2 (e20) (unit2)) = (e20)) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> ((op2 (unit2) (e23)) = (e23)) -> ((op2 (e23) (e22)) = (e23)) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> False). % 196.24/196.48 do 0 intro. intros zenon_H49 zenon_H5d zenon_H54 zenon_H41 zenon_H1ea zenon_H1e9 zenon_H4d zenon_H20 zenon_H6c zenon_H86. % 196.24/196.48 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H1e | zenon_intro zenon_H4a ]. % 196.24/196.48 apply (zenon_L24_); trivial. % 196.24/196.48 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2b | zenon_intro zenon_H4b ]. % 196.24/196.48 apply (zenon_L25_); trivial. % 196.24/196.48 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H3f ]. % 196.24/196.48 apply (zenon_L234_); trivial. % 196.24/196.48 apply (zenon_L36_); trivial. % 196.24/196.48 (* end of lemma zenon_L235_ *) % 196.24/196.48 assert (zenon_L236_ : (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((op2 (unit2) (e21)) = (e21)) -> ((op2 (e20) (e22)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (unit2) (e20)) = (e20)) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (unit2) (e23)) = (e23)) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> ((op2 (e20) (unit2)) = (e20)) -> ((op2 (e20) (e23)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((op2 (unit2) (e22)) = (e22)) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> False). % 196.24/196.48 do 0 intro. intros zenon_H9f zenon_Hc1 zenon_H77 zenon_Hc0 zenon_H29 zenon_H2a zenon_H2c zenon_H56 zenon_H20 zenon_H4d zenon_H1e9 zenon_H1ea zenon_H5d zenon_H49 zenon_H9e zenon_H67 zenon_H54 zenon_H86 zenon_H37 zenon_H40 zenon_H41. % 196.24/196.48 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H55 | zenon_intro zenon_Ha0 ]. % 196.24/196.48 apply (zenon_L67_); trivial. % 196.24/196.48 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_H61 | zenon_intro zenon_Ha1 ]. % 196.24/196.48 apply (zenon_L23_); trivial. % 196.24/196.48 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H6c | zenon_intro zenon_H87 ]. % 196.24/196.48 apply (zenon_L235_); trivial. % 196.24/196.48 apply (zenon_L40_); trivial. % 196.24/196.48 (* end of lemma zenon_L236_ *) % 196.24/196.48 assert (zenon_L237_ : (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((op2 (unit2) (e20)) = (e20)) -> ((unit2) = (e20)) -> ((op2 (e20) (e23)) = (e20)) -> False). % 196.24/196.48 do 0 intro. intros zenon_H1ee zenon_H2a zenon_H1e zenon_H1ea. % 196.24/196.48 cut (((op2 (unit2) (e20)) = (e20)) = ((op2 (e20) (e20)) = (op2 (e20) (e23)))). % 196.24/196.48 intro zenon_D_pnotp. % 196.24/196.48 apply zenon_H1ee. % 196.24/196.48 rewrite <- zenon_D_pnotp. % 196.24/196.48 exact zenon_H2a. % 196.24/196.48 cut (((e20) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H1eb]. % 196.24/196.48 cut (((op2 (unit2) (e20)) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1e5]. % 196.24/196.48 congruence. % 196.24/196.48 elim (classic ((op2 (e20) (e20)) = (op2 (e20) (e20)))); [ zenon_intro zenon_He3 | zenon_intro zenon_He4 ]. % 196.24/196.48 cut (((op2 (e20) (e20)) = (op2 (e20) (e20))) = ((op2 (unit2) (e20)) = (op2 (e20) (e20)))). % 196.24/196.48 intro zenon_D_pnotp. % 196.24/196.48 apply zenon_H1e5. % 196.24/196.48 rewrite <- zenon_D_pnotp. % 196.24/196.48 exact zenon_He3. % 196.24/196.48 cut (((op2 (e20) (e20)) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_He4]. % 196.24/196.48 cut (((op2 (e20) (e20)) = (op2 (unit2) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1e1]. % 196.24/196.48 congruence. % 196.24/196.48 apply (zenon_L219_); trivial. % 196.24/196.48 apply zenon_He4. apply refl_equal. % 196.24/196.48 apply zenon_He4. apply refl_equal. % 196.24/196.48 apply zenon_H1eb. apply sym_equal. exact zenon_H1ea. % 196.24/196.48 (* end of lemma zenon_L237_ *) % 196.24/196.48 assert (zenon_L238_ : (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> ((op2 (e20) (e23)) = (e20)) -> ((op2 (unit2) (e20)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e20)) = (e23)) -> ((op2 (e23) (unit2)) = (e23)) -> ((op2 (e22) (e22)) = (e21)) -> ((op2 (unit2) (e21)) = (e21)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e22)) = (e22)) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> False). % 196.24/196.48 do 0 intro. intros zenon_H49 zenon_H1ea zenon_H2a zenon_H1ee zenon_H56 zenon_H55 zenon_H54 zenon_H78 zenon_H77 zenon_H76 zenon_H37 zenon_H40 zenon_H41. % 196.24/196.48 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H1e | zenon_intro zenon_H4a ]. % 196.24/196.48 apply (zenon_L237_); trivial. % 196.24/196.48 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2b | zenon_intro zenon_H4b ]. % 196.24/196.48 apply (zenon_L14_); trivial. % 196.24/196.48 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H3f ]. % 196.24/196.48 apply (zenon_L30_); trivial. % 196.24/196.48 apply (zenon_L9_); trivial. % 196.24/196.48 (* end of lemma zenon_L238_ *) % 196.24/196.48 assert (zenon_L239_ : (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e20) = (op2 (e21) (e21))) -> ((op2 (unit2) (e20)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (e20) (e23)) = (e20)) -> ((op2 (e20) (unit2)) = (e20)) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (unit2) (e21)) = (e21)) -> ((op2 (e23) (e22)) = (e21)) -> False). % 196.24/196.48 do 0 intro. intros zenon_H49 zenon_H1ee zenon_H2c zenon_H2a zenon_H29 zenon_H1ea zenon_H1e9 zenon_H4d zenon_H41 zenon_H77 zenon_Hdb. % 196.24/196.48 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H1e | zenon_intro zenon_H4a ]. % 196.24/196.48 apply (zenon_L237_); trivial. % 196.24/196.48 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2b | zenon_intro zenon_H4b ]. % 196.24/196.48 apply (zenon_L5_); trivial. % 196.24/196.48 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H3f ]. % 196.24/196.48 apply (zenon_L234_); trivial. % 196.24/196.48 apply (zenon_L82_); trivial. % 196.24/196.48 (* end of lemma zenon_L239_ *) % 196.24/196.48 assert (zenon_L240_ : (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (unit2) (e23)) = (e23)) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((op2 (e21) (unit2)) = (e21)) -> ((e22) = (op2 (e23) (e21))) -> ((op2 (unit2) (e22)) = (e22)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> ((op2 (e23) (unit2)) = (e23)) -> ((op2 (e23) (e20)) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e20) = (op2 (e21) (e21))) -> ((op2 (unit2) (e20)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (e20) (e23)) = (e20)) -> ((op2 (e20) (unit2)) = (e20)) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (unit2) (e21)) = (e21)) -> False). % 196.24/196.48 do 0 intro. intros zenon_Hdf zenon_H86 zenon_H67 zenon_H9e zenon_H20 zenon_Hc1 zenon_H9f zenon_H5d zenon_Hce zenon_Hcf zenon_H40 zenon_H37 zenon_H76 zenon_H54 zenon_H55 zenon_H56 zenon_H49 zenon_H1ee zenon_H2c zenon_H2a zenon_H29 zenon_H1ea zenon_H1e9 zenon_H4d zenon_H41 zenon_H77. % 196.24/196.48 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_Hc0 | zenon_intro zenon_He0 ]. % 196.24/196.48 apply (zenon_L236_); trivial. % 196.24/196.48 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hd0 | zenon_intro zenon_He1 ]. % 196.24/196.48 apply (zenon_L74_); trivial. % 196.24/196.48 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_H78 | zenon_intro zenon_Hdb ]. % 196.24/196.48 apply (zenon_L238_); trivial. % 196.24/196.48 apply (zenon_L239_); trivial. % 196.24/196.48 (* end of lemma zenon_L240_ *) % 196.24/196.48 assert (zenon_L241_ : (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> ((op2 (e22) (e21)) = (e22)) -> ((op2 (e22) (unit2)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> ((op2 (unit2) (e20)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (e20) (e23)) = (e20)) -> ((op2 (e20) (unit2)) = (e20)) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> ((op2 (unit2) (e22)) = (e22)) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> False). % 196.24/196.48 do 0 intro. intros zenon_H49 zenon_Ha5 zenon_Ha4 zenon_Ha3 zenon_H2c zenon_H2a zenon_H29 zenon_H1ea zenon_H1e9 zenon_H4d zenon_H37 zenon_H40 zenon_H41. % 196.24/196.48 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H1e | zenon_intro zenon_H4a ]. % 196.24/196.48 apply (zenon_L43_); trivial. % 196.24/196.48 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2b | zenon_intro zenon_H4b ]. % 196.24/196.48 apply (zenon_L5_); trivial. % 196.24/196.48 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H3f ]. % 196.24/196.48 apply (zenon_L234_); trivial. % 196.24/196.48 apply (zenon_L9_); trivial. % 196.24/196.48 (* end of lemma zenon_L241_ *) % 196.24/196.48 assert (zenon_L242_ : (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (e22) (unit2)) = (e22)) -> ((op2 (e22) (e22)) = (e22)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (unit2) (e20)) = (e20)) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (unit2) (e23)) = (e23)) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> ((op2 (e20) (unit2)) = (e20)) -> ((op2 (e20) (e23)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((op2 (unit2) (e22)) = (e22)) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> False). % 196.24/196.48 do 0 intro. intros zenon_H9f zenon_H39 zenon_Ha4 zenon_H85 zenon_H29 zenon_H2a zenon_H2c zenon_H56 zenon_H20 zenon_H4d zenon_H1e9 zenon_H1ea zenon_H5d zenon_H49 zenon_H9e zenon_H67 zenon_H54 zenon_H86 zenon_H37 zenon_H40 zenon_H41. % 196.24/196.48 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H55 | zenon_intro zenon_Ha0 ]. % 196.24/196.48 apply (zenon_L58_); trivial. % 196.24/196.48 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_H61 | zenon_intro zenon_Ha1 ]. % 196.24/196.48 apply (zenon_L23_); trivial. % 196.24/196.48 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H6c | zenon_intro zenon_H87 ]. % 196.24/196.48 apply (zenon_L235_); trivial. % 196.24/196.48 apply (zenon_L40_); trivial. % 196.24/196.48 (* end of lemma zenon_L242_ *) % 196.24/196.48 assert (zenon_L243_ : (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> ((op2 (e21) (unit2)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((op2 (e21) (e22)) = (e21)) -> ((op2 (unit2) (e21)) = (e21)) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((op2 (e20) (e23)) = (e20)) -> ((op2 (e20) (unit2)) = (e20)) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> ((e20) = (op2 (e21) (e21))) -> ((op2 (unit2) (e20)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((op2 (e22) (unit2)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (unit2) (e23)) = (e23)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((op2 (unit2) (e22)) = (e22)) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> False). % 196.24/196.48 do 0 intro. intros zenon_Hba zenon_Hcf zenon_Hce zenon_Hd0 zenon_H77 zenon_Hd4 zenon_Hdf zenon_Hc1 zenon_H76 zenon_H1ee zenon_Ha3 zenon_H1ea zenon_H1e9 zenon_H4d zenon_H2c zenon_H2a zenon_H29 zenon_H39 zenon_H9f zenon_H56 zenon_Hb3 zenon_Ha4 zenon_Haf zenon_H20 zenon_Hb5 zenon_H5d zenon_H49 zenon_H9e zenon_H67 zenon_H54 zenon_H86 zenon_H37 zenon_H40 zenon_H41. % 196.24/196.48 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H38 | zenon_intro zenon_Hbb ]. % 196.24/196.48 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H55 | zenon_intro zenon_Ha0 ]. % 196.24/196.48 apply (zenon_L240_); trivial. % 196.24/196.48 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_H61 | zenon_intro zenon_Ha1 ]. % 196.24/196.48 apply (zenon_L77_); trivial. % 196.24/196.48 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H6c | zenon_intro zenon_H87 ]. % 196.24/196.48 apply (zenon_L235_); trivial. % 196.24/196.48 apply (zenon_L40_); trivial. % 196.24/196.48 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_Ha5 | zenon_intro zenon_Hbc ]. % 196.24/196.48 apply (zenon_L241_); trivial. % 196.24/196.48 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H85 | zenon_intro zenon_Hb0 ]. % 196.24/196.48 apply (zenon_L242_); trivial. % 196.24/196.48 apply (zenon_L55_); trivial. % 196.24/196.48 (* end of lemma zenon_L243_ *) % 196.24/196.48 assert (zenon_L244_ : (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> ((op2 (e20) (unit2)) = (e20)) -> ((op2 (e20) (e23)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((op2 (e21) (unit2)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (unit2) (e20)) = (e20)) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (unit2) (e23)) = (e23)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e21)) = (e21)) -> ((op2 (e22) (e22)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((op2 (unit2) (e22)) = (e22)) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> False). % 196.24/196.48 do 0 intro. intros zenon_H4d zenon_H1e9 zenon_H1ea zenon_H1ee zenon_Hcf zenon_Hce zenon_H9f zenon_Hc1 zenon_Hdf zenon_H29 zenon_H2a zenon_H2c zenon_H56 zenon_H20 zenon_H76 zenon_H77 zenon_H78 zenon_H5d zenon_H49 zenon_H9e zenon_H67 zenon_H54 zenon_H86 zenon_H37 zenon_H40 zenon_H41. % 196.24/196.48 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H55 | zenon_intro zenon_Ha0 ]. % 196.24/196.48 apply (zenon_L240_); trivial. % 196.24/196.48 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_H61 | zenon_intro zenon_Ha1 ]. % 196.24/196.48 apply (zenon_L23_); trivial. % 196.24/196.48 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H6c | zenon_intro zenon_H87 ]. % 196.24/196.48 apply (zenon_L85_); trivial. % 196.24/196.48 apply (zenon_L40_); trivial. % 196.24/196.48 (* end of lemma zenon_L244_ *) % 196.24/196.48 assert (zenon_L245_ : (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e22) (unit2)) = (e22)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> ((e22) = (op2 (e23) (e21))) -> ((op2 (unit2) (e22)) = (e22)) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e23)) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((op2 (e21) (unit2)) = (e21)) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e23)))) -> ((e20) = (op2 (e21) (e21))) -> ((op2 (unit2) (e20)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (e20) (e23)) = (e20)) -> ((op2 (e20) (unit2)) = (e20)) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (unit2) (e21)) = (e21)) -> False). % 196.24/196.48 do 0 intro. intros zenon_Hb5 zenon_Haf zenon_Ha4 zenon_Hb3 zenon_H39 zenon_Ha3 zenon_Hd4 zenon_Hba zenon_H40 zenon_H37 zenon_H86 zenon_H54 zenon_H67 zenon_H9e zenon_H5d zenon_H76 zenon_H20 zenon_H56 zenon_Hdf zenon_Hc1 zenon_H9f zenon_Hce zenon_Hcf zenon_H49 zenon_H1ee zenon_H2c zenon_H2a zenon_H29 zenon_H1ea zenon_H1e9 zenon_H4d zenon_H41 zenon_H77. % 196.24/196.48 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_Hc0 | zenon_intro zenon_He0 ]. % 196.24/196.48 apply (zenon_L236_); trivial. % 196.24/196.48 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hd0 | zenon_intro zenon_He1 ]. % 196.24/196.48 apply (zenon_L243_); trivial. % 196.24/196.48 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_H78 | zenon_intro zenon_Hdb ]. % 196.24/196.48 apply (zenon_L244_); trivial. % 196.24/196.48 apply (zenon_L239_); trivial. % 196.24/196.48 (* end of lemma zenon_L245_ *) % 196.24/196.48 assert (zenon_L246_ : ((e22) = (op2 (e23) (e21))) -> ((op2 (unit2) (e22)) = (e22)) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e22) (unit2)) = (e22)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e21)) = (e21)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((e20) = (e23))) -> (((op1 (e10) (e10)) = (e10))\/(((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e12)) = (e10))\/((op1 (e10) (e13)) = (e10))))) -> ((op2 (e21) (unit2)) = (e21)) -> (~((h8 (op1 (e10) (e10))) = (op2 (h8 (e10)) (h8 (e10))))) -> ((h8 (e10)) = (op2 (e22) (e22))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((e12) = (op1 (e13) (e11))) -> ((op1 (unit1) (e12)) = (e12)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((op1 (e11) (unit1)) = (e11)) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e13)))) -> ((e10) = (op1 (e11) (e11))) -> ((op1 (unit1) (e10)) = (e10)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((op1 (e10) (unit1)) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> ((op2 (unit2) (e20)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e23) (unit2)) = (e23)) -> ((op2 (unit2) (e23)) = (e23)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> False). % 196.24/196.48 do 0 intro. intros zenon_H40 zenon_H37 zenon_H86 zenon_H9e zenon_H5d zenon_Hb5 zenon_Haf zenon_Ha4 zenon_Hb3 zenon_H9f zenon_Hb6 zenon_H4d zenon_H76 zenon_H77 zenon_H39 zenon_Ha9 zenon_Ha3 zenon_H1de zenon_Hd8 zenon_H1d9 zenon_H1cd zenon_H1d4 zenon_H1d1 zenon_H1ca zenon_H22 zenon_Hbd zenon_H1c1 zenon_Hcf zenon_Hf3 zenon_Hf0 zenon_H1ab zenon_H192 zenon_H17e zenon_H1b8 zenon_H18e zenon_H185 zenon_H186 zenon_H18b zenon_H143 zenon_H1a3 zenon_H19c zenon_H1a7 zenon_H120 zenon_H105 zenon_H15b zenon_H10f zenon_H13b zenon_H172 zenon_H11a zenon_H14b zenon_H13a zenon_H111 zenon_H1b5 zenon_H178 zenon_H173 zenon_H196 zenon_H197 zenon_H127 zenon_H1c0 zenon_H133 zenon_H132 zenon_H131 zenon_H1bb zenon_H104 zenon_H121 zenon_H14c zenon_H1c7 zenon_Hea zenon_H1c4 zenon_Hba zenon_Hce zenon_Hd4 zenon_Hc1 zenon_Hdf zenon_H49 zenon_H56 zenon_H2c zenon_H2a zenon_H29 zenon_H41 zenon_H54 zenon_H20 zenon_H67. % 196.24/196.48 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H21 | zenon_intro zenon_H1cb ]. % 196.24/196.48 apply (zenon_L64_); trivial. % 196.24/196.48 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H8d | zenon_intro zenon_H1cc ]. % 196.24/196.48 apply (zenon_L65_); trivial. % 196.24/196.48 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H61 ]. % 196.24/196.48 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H38 | zenon_intro zenon_Hbb ]. % 196.24/196.48 apply (zenon_L216_); trivial. % 196.24/196.48 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_Ha5 | zenon_intro zenon_Hbc ]. % 196.24/196.48 apply (zenon_L217_); trivial. % 196.24/196.48 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H85 | zenon_intro zenon_Hb0 ]. % 196.24/196.48 apply (zenon_L63_); trivial. % 196.24/196.48 apply (zenon_L55_); trivial. % 196.24/196.48 apply (zenon_L23_); trivial. % 196.24/196.48 (* end of lemma zenon_L246_ *) % 196.24/196.48 assert (zenon_L247_ : ((op2 (unit2) (e22)) = (e22)) -> ((unit2) = (e20)) -> ((op2 (e20) (e20)) = (e22)) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> False). % 196.24/196.48 do 0 intro. intros zenon_H37 zenon_H1e zenon_H82 zenon_H1e6. % 196.24/196.48 elim (classic ((op2 (e20) (e22)) = (op2 (e20) (e22)))); [ zenon_intro zenon_H51 | zenon_intro zenon_H52 ]. % 196.24/196.48 cut (((op2 (e20) (e22)) = (op2 (e20) (e22))) = ((op2 (e20) (e20)) = (op2 (e20) (e22)))). % 196.24/196.48 intro zenon_D_pnotp. % 196.24/196.48 apply zenon_H1e6. % 196.24/196.48 rewrite <- zenon_D_pnotp. % 196.24/196.48 exact zenon_H51. % 196.24/196.48 cut (((op2 (e20) (e22)) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H52]. % 196.24/196.48 cut (((op2 (e20) (e22)) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1ef]. % 196.24/196.48 congruence. % 196.24/196.48 cut (((op2 (unit2) (e22)) = (e22)) = ((op2 (e20) (e22)) = (op2 (e20) (e20)))). % 196.24/196.48 intro zenon_D_pnotp. % 196.24/196.48 apply zenon_H1ef. % 196.24/196.48 rewrite <- zenon_D_pnotp. % 196.24/196.48 exact zenon_H37. % 196.24/196.48 cut (((e22) = (op2 (e20) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H1f0]. % 196.24/196.48 cut (((op2 (unit2) (e22)) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H50]. % 196.24/196.48 congruence. % 196.24/196.48 elim (classic ((op2 (e20) (e22)) = (op2 (e20) (e22)))); [ zenon_intro zenon_H51 | zenon_intro zenon_H52 ]. % 196.24/196.48 cut (((op2 (e20) (e22)) = (op2 (e20) (e22))) = ((op2 (unit2) (e22)) = (op2 (e20) (e22)))). % 196.24/196.48 intro zenon_D_pnotp. % 196.24/196.48 apply zenon_H50. % 196.24/196.48 rewrite <- zenon_D_pnotp. % 196.24/196.48 exact zenon_H51. % 196.24/196.48 cut (((op2 (e20) (e22)) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H52]. % 196.24/196.48 cut (((op2 (e20) (e22)) = (op2 (unit2) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H4c]. % 196.24/196.48 congruence. % 196.24/196.48 apply (zenon_L11_); trivial. % 196.24/196.48 apply zenon_H52. apply refl_equal. % 196.24/196.48 apply zenon_H52. apply refl_equal. % 196.24/196.48 apply zenon_H1f0. apply sym_equal. exact zenon_H82. % 196.24/196.48 apply zenon_H52. apply refl_equal. % 196.24/196.48 apply zenon_H52. apply refl_equal. % 196.24/196.48 (* end of lemma zenon_L247_ *) % 196.24/196.48 assert (zenon_L248_ : (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> ((op2 (e20) (e20)) = (e22)) -> ((op2 (e21) (e23)) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> ((op2 (e22) (e22)) = (e21)) -> ((op2 (unit2) (e21)) = (e21)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e22)) = (e22)) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> False). % 196.24/196.48 do 0 intro. intros zenon_H49 zenon_H1e6 zenon_H82 zenon_Haa zenon_Ha9 zenon_H78 zenon_H77 zenon_H76 zenon_H37 zenon_H40 zenon_H41. % 196.24/196.48 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H1e | zenon_intro zenon_H4a ]. % 196.24/196.48 apply (zenon_L247_); trivial. % 196.24/196.48 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2b | zenon_intro zenon_H4b ]. % 196.24/196.48 apply (zenon_L46_); trivial. % 196.24/196.48 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H3f ]. % 196.24/196.48 apply (zenon_L30_); trivial. % 196.24/196.48 apply (zenon_L9_); trivial. % 196.24/196.48 (* end of lemma zenon_L248_ *) % 196.24/196.48 assert (zenon_L249_ : (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> ((e20) = (op2 (e21) (e21))) -> ((op2 (unit2) (e20)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e21)) = (e21)) -> ((op2 (e22) (e22)) = (e21)) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> ((op2 (e20) (e20)) = (e22)) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (unit2) (e22)) = (e22)) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((op2 (unit2) (e23)) = (e23)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e22) (unit2)) = (e22)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> False). % 196.24/196.48 do 0 intro. intros zenon_Hb6 zenon_H2c zenon_H2a zenon_H29 zenon_H4d zenon_H76 zenon_H77 zenon_H78 zenon_Ha9 zenon_H82 zenon_H1e6 zenon_H41 zenon_H37 zenon_H86 zenon_H54 zenon_H9e zenon_H49 zenon_H5d zenon_Hb5 zenon_H20 zenon_Haf zenon_Ha4 zenon_Hb3 zenon_H56 zenon_H9f zenon_H40 zenon_H67. % 196.24/196.48 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_H4e | zenon_intro zenon_Hb7 ]. % 196.24/196.48 apply (zenon_L86_); trivial. % 196.24/196.48 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_Haa | zenon_intro zenon_Hb8 ]. % 196.24/196.48 apply (zenon_L248_); trivial. % 196.24/196.48 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H7d ]. % 196.24/196.48 apply (zenon_L55_); trivial. % 196.24/196.48 apply (zenon_L31_); trivial. % 196.24/196.48 (* end of lemma zenon_L249_ *) % 196.24/196.48 assert (zenon_L250_ : (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> ((op2 (e22) (e21)) = (e21)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e22) (e21)) = (e23)) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((op2 (e23) (e22)) = (e21)) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> ((op2 (unit2) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e21)) = (e21)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((op2 (e22) (unit2)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (unit2) (e23)) = (e23)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((op2 (unit2) (e22)) = (e22)) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> False). % 196.24/196.48 do 0 intro. intros zenon_H1d9 zenon_H1cd zenon_H1ce zenon_H1d4 zenon_Hba zenon_H1d1 zenon_Hc7 zenon_H2c zenon_H29 zenon_Ha3 zenon_Hdb zenon_Ha9 zenon_H2a zenon_H39 zenon_H77 zenon_H76 zenon_H4d zenon_Hb6 zenon_H9f zenon_H56 zenon_Hb3 zenon_Ha4 zenon_Haf zenon_H20 zenon_Hb5 zenon_H5d zenon_H49 zenon_H9e zenon_H67 zenon_H54 zenon_H86 zenon_H37 zenon_H40 zenon_H41. % 196.24/196.48 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H38 | zenon_intro zenon_Hbb ]. % 196.24/196.48 apply (zenon_L211_); trivial. % 196.24/196.48 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_Ha5 | zenon_intro zenon_Hbc ]. % 196.24/196.48 apply (zenon_L217_); trivial. % 196.24/196.48 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H85 | zenon_intro zenon_Hb0 ]. % 196.24/196.48 apply (zenon_L227_); trivial. % 196.24/196.48 apply (zenon_L55_); trivial. % 196.24/196.48 (* end of lemma zenon_L250_ *) % 196.24/196.48 assert (zenon_L251_ : (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((op2 (e20) (e22)) = (e21)) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> ((op2 (e21) (e23)) = (e22)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (unit2) (e23)) = (e23)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((op2 (unit2) (e21)) = (e21)) -> ((op2 (e22) (e23)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((op2 (unit2) (e22)) = (e22)) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> False). % 196.24/196.48 do 0 intro. intros zenon_H9f zenon_Hc1 zenon_Hc0 zenon_Ha9 zenon_Haa zenon_H56 zenon_H20 zenon_Hb3 zenon_H77 zenon_H1dc zenon_H5d zenon_H49 zenon_H9e zenon_H67 zenon_H54 zenon_H86 zenon_H37 zenon_H40 zenon_H41. % 196.24/196.48 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H55 | zenon_intro zenon_Ha0 ]. % 196.24/196.48 apply (zenon_L67_); trivial. % 196.24/196.48 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_H61 | zenon_intro zenon_Ha1 ]. % 196.24/196.48 apply (zenon_L47_); trivial. % 196.24/196.48 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H6c | zenon_intro zenon_H87 ]. % 196.24/196.48 apply (zenon_L213_); trivial. % 196.24/196.48 apply (zenon_L40_); trivial. % 196.24/196.48 (* end of lemma zenon_L251_ *) % 196.24/196.48 assert (zenon_L252_ : (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> ((op2 (e20) (e20)) = (e22)) -> ((op2 (e21) (e23)) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (e22) (e20)) = (e22)) -> ((op2 (unit2) (e22)) = (e22)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (unit2) (e21)) = (e21)) -> ((op2 (e23) (e22)) = (e21)) -> False). % 196.24/196.48 do 0 intro. intros zenon_H49 zenon_H1e6 zenon_H82 zenon_Haa zenon_Ha9 zenon_H39 zenon_H38 zenon_H37 zenon_H41 zenon_H77 zenon_Hdb. % 196.24/196.48 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H1e | zenon_intro zenon_H4a ]. % 196.24/196.48 apply (zenon_L247_); trivial. % 196.24/196.48 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2b | zenon_intro zenon_H4b ]. % 196.24/196.48 apply (zenon_L46_); trivial. % 196.24/196.48 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H3f ]. % 196.24/196.48 apply (zenon_L8_); trivial. % 196.24/196.48 apply (zenon_L82_); trivial. % 196.24/196.48 (* end of lemma zenon_L252_ *) % 196.24/196.48 assert (zenon_L253_ : (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> ((op2 (e22) (e21)) = (e22)) -> ((op2 (e22) (unit2)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> ((op2 (unit2) (e20)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (e22) (e23)) = (e21)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (unit2) (e21)) = (e21)) -> ((op2 (e23) (e22)) = (e21)) -> False). % 196.24/196.48 do 0 intro. intros zenon_H49 zenon_Ha5 zenon_Ha4 zenon_Ha3 zenon_H2c zenon_H2a zenon_H29 zenon_H1dc zenon_Hb3 zenon_H41 zenon_H77 zenon_Hdb. % 196.24/196.48 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H1e | zenon_intro zenon_H4a ]. % 196.24/196.48 apply (zenon_L43_); trivial. % 196.24/196.48 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2b | zenon_intro zenon_H4b ]. % 196.24/196.48 apply (zenon_L5_); trivial. % 196.24/196.48 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H3f ]. % 196.24/196.48 apply (zenon_L212_); trivial. % 196.24/196.48 apply (zenon_L82_); trivial. % 196.24/196.48 (* end of lemma zenon_L253_ *) % 196.24/196.48 assert (zenon_L254_ : (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> ((op2 (e21) (e23)) = (e22)) -> ((op2 (e20) (e20)) = (e22)) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> ((op2 (e22) (e23)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((op2 (e23) (e22)) = (e21)) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> ((op2 (unit2) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e21)) = (e21)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((op2 (e22) (unit2)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (unit2) (e23)) = (e23)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((op2 (unit2) (e22)) = (e22)) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> False). % 196.24/196.48 do 0 intro. intros zenon_Hba zenon_Haa zenon_H82 zenon_H1e6 zenon_H1dc zenon_H29 zenon_H2c zenon_Ha3 zenon_Hdb zenon_Ha9 zenon_H2a zenon_H39 zenon_H77 zenon_H76 zenon_H4d zenon_Hb6 zenon_H9f zenon_H56 zenon_Hb3 zenon_Ha4 zenon_Haf zenon_H20 zenon_Hb5 zenon_H5d zenon_H49 zenon_H9e zenon_H67 zenon_H54 zenon_H86 zenon_H37 zenon_H40 zenon_H41. % 196.24/196.48 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H38 | zenon_intro zenon_Hbb ]. % 196.24/196.48 apply (zenon_L252_); trivial. % 196.24/196.48 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_Ha5 | zenon_intro zenon_Hbc ]. % 196.24/196.48 apply (zenon_L253_); trivial. % 196.24/196.48 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H85 | zenon_intro zenon_Hb0 ]. % 196.24/196.48 apply (zenon_L227_); trivial. % 196.24/196.48 apply (zenon_L55_); trivial. % 196.24/196.48 (* end of lemma zenon_L254_ *) % 196.24/196.48 assert (zenon_L255_ : (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((op2 (e21) (unit2)) = (e21)) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> ((op2 (e21) (e23)) = (e22)) -> ((op2 (e20) (e20)) = (e22)) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> ((op2 (e22) (e23)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> ((op2 (unit2) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e21)) = (e21)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((op2 (e22) (unit2)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (unit2) (e23)) = (e23)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((op2 (unit2) (e22)) = (e22)) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> False). % 196.24/196.48 do 0 intro. intros zenon_Hdf zenon_Hc1 zenon_Hd4 zenon_Hce zenon_Hcf zenon_Hba zenon_Haa zenon_H82 zenon_H1e6 zenon_H1dc zenon_H29 zenon_H2c zenon_Ha3 zenon_Ha9 zenon_H2a zenon_H39 zenon_H77 zenon_H76 zenon_H4d zenon_Hb6 zenon_H9f zenon_H56 zenon_Hb3 zenon_Ha4 zenon_Haf zenon_H20 zenon_Hb5 zenon_H5d zenon_H49 zenon_H9e zenon_H67 zenon_H54 zenon_H86 zenon_H37 zenon_H40 zenon_H41. % 196.24/196.48 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_Hc0 | zenon_intro zenon_He0 ]. % 196.24/196.48 apply (zenon_L251_); trivial. % 196.24/196.48 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hd0 | zenon_intro zenon_He1 ]. % 196.24/196.48 apply (zenon_L79_); trivial. % 196.24/196.48 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_H78 | zenon_intro zenon_Hdb ]. % 196.24/196.48 apply (zenon_L248_); trivial. % 196.24/196.48 apply (zenon_L254_); trivial. % 196.24/196.48 (* end of lemma zenon_L255_ *) % 196.24/196.48 assert (zenon_L256_ : ((op2 (e22) (e22)) = (e21)) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e21)) = (e21)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e20)) = (e20)) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (e22) (e23)) = (e21)) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> ((op2 (e20) (e20)) = (e22)) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> ((op2 (e21) (unit2)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (unit2) (e22)) = (e22)) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((op2 (unit2) (e23)) = (e23)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e22) (unit2)) = (e22)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> False). % 196.24/196.48 do 0 intro. intros zenon_H78 zenon_Hb6 zenon_H4d zenon_H76 zenon_H77 zenon_H39 zenon_H2a zenon_Ha9 zenon_Ha3 zenon_H2c zenon_H29 zenon_H1dc zenon_H1e6 zenon_H82 zenon_Hba zenon_Hcf zenon_Hce zenon_Hd4 zenon_Hc1 zenon_Hdf zenon_H41 zenon_H37 zenon_H86 zenon_H54 zenon_H9e zenon_H49 zenon_H5d zenon_Hb5 zenon_H20 zenon_Haf zenon_Ha4 zenon_Hb3 zenon_H56 zenon_H9f zenon_H40 zenon_H67. % 196.24/196.48 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_H4e | zenon_intro zenon_Hb7 ]. % 196.24/196.48 apply (zenon_L86_); trivial. % 196.24/196.48 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_Haa | zenon_intro zenon_Hb8 ]. % 196.24/196.48 apply (zenon_L255_); trivial. % 196.24/196.48 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H7d ]. % 196.24/196.48 apply (zenon_L55_); trivial. % 196.24/196.48 apply (zenon_L31_); trivial. % 196.24/196.48 (* end of lemma zenon_L256_ *) % 196.24/196.48 assert (zenon_L257_ : (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> ((op2 (e22) (e23)) = (e21)) -> ((e20) = (op2 (e21) (e21))) -> ((op2 (unit2) (e20)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> ((op2 (e23) (e22)) = (e21)) -> ((op2 (unit2) (e21)) = (e21)) -> ((op2 (e22) (e20)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> ((op2 (e20) (e20)) = (e22)) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (unit2) (e22)) = (e22)) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((op2 (unit2) (e23)) = (e23)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e22) (unit2)) = (e22)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> False). % 196.24/196.48 do 0 intro. intros zenon_Hb6 zenon_H1dc zenon_H2c zenon_H2a zenon_H29 zenon_H4d zenon_Hdb zenon_H77 zenon_H38 zenon_H39 zenon_Ha9 zenon_H82 zenon_H1e6 zenon_H41 zenon_H37 zenon_H86 zenon_H54 zenon_H9e zenon_H49 zenon_H5d zenon_Hb5 zenon_H20 zenon_Haf zenon_Ha4 zenon_Hb3 zenon_H56 zenon_H9f zenon_H40 zenon_H67. % 196.24/196.48 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_H4e | zenon_intro zenon_Hb7 ]. % 196.24/196.48 apply (zenon_L214_); trivial. % 196.24/196.48 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_Haa | zenon_intro zenon_Hb8 ]. % 196.24/196.48 apply (zenon_L252_); trivial. % 196.24/196.48 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H7d ]. % 196.24/196.48 apply (zenon_L55_); trivial. % 196.24/196.48 apply (zenon_L31_); trivial. % 196.24/196.48 (* end of lemma zenon_L257_ *) % 196.24/196.48 assert (zenon_L258_ : (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> ((op2 (e20) (e20)) = (e22)) -> ((op2 (e22) (e23)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((op2 (e23) (e22)) = (e21)) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> ((op2 (unit2) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e21)) = (e21)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((op2 (e22) (unit2)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (unit2) (e23)) = (e23)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((op2 (unit2) (e22)) = (e22)) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> False). % 196.24/196.49 do 0 intro. intros zenon_Hba zenon_H1e6 zenon_H82 zenon_H1dc zenon_H29 zenon_H2c zenon_Ha3 zenon_Hdb zenon_Ha9 zenon_H2a zenon_H39 zenon_H77 zenon_H76 zenon_H4d zenon_Hb6 zenon_H9f zenon_H56 zenon_Hb3 zenon_Ha4 zenon_Haf zenon_H20 zenon_Hb5 zenon_H5d zenon_H49 zenon_H9e zenon_H67 zenon_H54 zenon_H86 zenon_H37 zenon_H40 zenon_H41. % 196.24/196.49 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H38 | zenon_intro zenon_Hbb ]. % 196.24/196.49 apply (zenon_L257_); trivial. % 196.24/196.49 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_Ha5 | zenon_intro zenon_Hbc ]. % 196.24/196.49 apply (zenon_L253_); trivial. % 196.24/196.49 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H85 | zenon_intro zenon_Hb0 ]. % 196.24/196.49 apply (zenon_L227_); trivial. % 196.24/196.49 apply (zenon_L55_); trivial. % 196.24/196.49 (* end of lemma zenon_L258_ *) % 196.24/196.49 assert (zenon_L259_ : (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((op2 (e21) (unit2)) = (e21)) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> ((op2 (e20) (e20)) = (e22)) -> ((op2 (e22) (e23)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> ((op2 (unit2) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e21)) = (e21)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((op2 (e22) (unit2)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (unit2) (e23)) = (e23)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((op2 (unit2) (e22)) = (e22)) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> False). % 196.24/196.49 do 0 intro. intros zenon_Hdf zenon_Hc1 zenon_Hd4 zenon_Hce zenon_Hcf zenon_Hba zenon_H1e6 zenon_H82 zenon_H1dc zenon_H29 zenon_H2c zenon_Ha3 zenon_Ha9 zenon_H2a zenon_H39 zenon_H77 zenon_H76 zenon_H4d zenon_Hb6 zenon_H9f zenon_H56 zenon_Hb3 zenon_Ha4 zenon_Haf zenon_H20 zenon_Hb5 zenon_H5d zenon_H49 zenon_H9e zenon_H67 zenon_H54 zenon_H86 zenon_H37 zenon_H40 zenon_H41. % 196.24/196.49 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_Hc0 | zenon_intro zenon_He0 ]. % 196.24/196.49 apply (zenon_L218_); trivial. % 196.24/196.49 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hd0 | zenon_intro zenon_He1 ]. % 196.24/196.49 apply (zenon_L79_); trivial. % 196.24/196.49 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_H78 | zenon_intro zenon_Hdb ]. % 196.24/196.49 apply (zenon_L256_); trivial. % 196.24/196.49 apply (zenon_L258_); trivial. % 196.24/196.49 (* end of lemma zenon_L259_ *) % 196.24/196.49 assert (zenon_L260_ : (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((e20) = (e23))) -> ((e22) = (op2 (e23) (e21))) -> ((op2 (unit2) (e22)) = (e22)) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e22) (unit2)) = (e22)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e21)) = (e21)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((op2 (e20) (e20)) = (e22)) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> ((op2 (e21) (unit2)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> ((op2 (unit2) (e20)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e23) (unit2)) = (e23)) -> ((op2 (unit2) (e23)) = (e23)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> False). % 196.24/196.49 do 0 intro. intros zenon_H1ca zenon_H22 zenon_Hbd zenon_H40 zenon_H37 zenon_H86 zenon_H9e zenon_H5d zenon_Hb5 zenon_Haf zenon_Ha4 zenon_Hb3 zenon_H9f zenon_Hb6 zenon_H4d zenon_H76 zenon_H77 zenon_H39 zenon_Ha9 zenon_Ha3 zenon_H82 zenon_H1e6 zenon_Hba zenon_Hcf zenon_Hce zenon_Hd4 zenon_Hc1 zenon_Hdf zenon_H1d9 zenon_H1cd zenon_H1d4 zenon_H1d1 zenon_Hd8 zenon_H1de zenon_H49 zenon_H56 zenon_H2c zenon_H2a zenon_H29 zenon_H41 zenon_H54 zenon_H20 zenon_H67. % 196.24/196.49 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H21 | zenon_intro zenon_H1cb ]. % 196.24/196.49 apply (zenon_L64_); trivial. % 196.24/196.49 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H8d | zenon_intro zenon_H1cc ]. % 196.24/196.49 apply (zenon_L65_); trivial. % 196.24/196.49 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H61 ]. % 196.24/196.49 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_Hd9 | zenon_intro zenon_H1df ]. % 196.24/196.49 apply (zenon_L84_); trivial. % 196.24/196.49 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H1ce | zenon_intro zenon_H1e0 ]. % 196.24/196.49 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_Hc0 | zenon_intro zenon_He0 ]. % 196.24/196.49 apply (zenon_L71_); trivial. % 196.24/196.49 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hd0 | zenon_intro zenon_He1 ]. % 196.24/196.49 apply (zenon_L79_); trivial. % 196.24/196.49 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_H78 | zenon_intro zenon_Hdb ]. % 196.24/196.49 apply (zenon_L249_); trivial. % 196.24/196.49 apply (zenon_L250_); trivial. % 196.24/196.49 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H78 | zenon_intro zenon_H1dc ]. % 196.24/196.49 apply (zenon_L249_); trivial. % 196.24/196.49 apply (zenon_L259_); trivial. % 196.24/196.49 apply (zenon_L23_); trivial. % 196.24/196.49 (* end of lemma zenon_L260_ *) % 196.24/196.49 assert (zenon_L261_ : ((op2 (unit2) (e22)) = (e22)) -> ((unit2) = (e20)) -> ((op2 (e20) (e21)) = (e22)) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> False). % 196.24/196.49 do 0 intro. intros zenon_H37 zenon_H1e zenon_H1f1 zenon_Hc1. % 196.24/196.49 elim (classic ((op2 (e20) (e22)) = (op2 (e20) (e22)))); [ zenon_intro zenon_H51 | zenon_intro zenon_H52 ]. % 196.24/196.49 cut (((op2 (e20) (e22)) = (op2 (e20) (e22))) = ((op2 (e20) (e21)) = (op2 (e20) (e22)))). % 196.24/196.49 intro zenon_D_pnotp. % 196.24/196.49 apply zenon_Hc1. % 196.24/196.49 rewrite <- zenon_D_pnotp. % 196.24/196.49 exact zenon_H51. % 196.24/196.49 cut (((op2 (e20) (e22)) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H52]. % 196.24/196.49 cut (((op2 (e20) (e22)) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H1f2]. % 196.24/196.49 congruence. % 196.24/196.49 cut (((op2 (unit2) (e22)) = (e22)) = ((op2 (e20) (e22)) = (op2 (e20) (e21)))). % 196.24/196.49 intro zenon_D_pnotp. % 196.24/196.49 apply zenon_H1f2. % 196.24/196.49 rewrite <- zenon_D_pnotp. % 196.24/196.49 exact zenon_H37. % 196.24/196.49 cut (((e22) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H1f3]. % 196.24/196.49 cut (((op2 (unit2) (e22)) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H50]. % 196.24/196.49 congruence. % 196.24/196.49 elim (classic ((op2 (e20) (e22)) = (op2 (e20) (e22)))); [ zenon_intro zenon_H51 | zenon_intro zenon_H52 ]. % 196.24/196.49 cut (((op2 (e20) (e22)) = (op2 (e20) (e22))) = ((op2 (unit2) (e22)) = (op2 (e20) (e22)))). % 196.24/196.49 intro zenon_D_pnotp. % 196.24/196.49 apply zenon_H50. % 196.24/196.49 rewrite <- zenon_D_pnotp. % 196.24/196.49 exact zenon_H51. % 196.24/196.49 cut (((op2 (e20) (e22)) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H52]. % 196.24/196.49 cut (((op2 (e20) (e22)) = (op2 (unit2) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H4c]. % 196.24/196.49 congruence. % 196.24/196.49 apply (zenon_L11_); trivial. % 196.24/196.49 apply zenon_H52. apply refl_equal. % 196.24/196.49 apply zenon_H52. apply refl_equal. % 196.24/196.49 apply zenon_H1f3. apply sym_equal. exact zenon_H1f1. % 196.24/196.49 apply zenon_H52. apply refl_equal. % 196.24/196.49 apply zenon_H52. apply refl_equal. % 196.24/196.49 (* end of lemma zenon_L261_ *) % 196.24/196.49 assert (zenon_L262_ : (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((op2 (e20) (e21)) = (e22)) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e21)) = (e21)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e20)) = (e20)) -> ((op2 (unit2) (e22)) = (e22)) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> False). % 196.24/196.49 do 0 intro. intros zenon_H49 zenon_Hc1 zenon_H1f1 zenon_H2c zenon_H29 zenon_H54 zenon_H86 zenon_H67 zenon_H76 zenon_H77 zenon_H39 zenon_H2a zenon_H37 zenon_H40 zenon_H41. % 196.24/196.49 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H1e | zenon_intro zenon_H4a ]. % 196.24/196.49 apply (zenon_L261_); trivial. % 196.24/196.49 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2b | zenon_intro zenon_H4b ]. % 196.24/196.49 apply (zenon_L5_); trivial. % 196.24/196.49 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H3f ]. % 196.24/196.49 apply (zenon_L35_); trivial. % 196.24/196.49 apply (zenon_L9_); trivial. % 196.24/196.49 (* end of lemma zenon_L262_ *) % 196.24/196.49 assert (zenon_L263_ : (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((op2 (e23) (unit2)) = (e23)) -> ((op2 (e23) (e20)) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (unit2) (e20)) = (e20)) -> ((e20) = (op2 (e21) (e21))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> ((op2 (e22) (e20)) = (e21)) -> ((op2 (e21) (unit2)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e21) (e23)) = (e22)) -> ((op2 (unit2) (e22)) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((op2 (e22) (e21)) = (e23)) -> ((op2 (unit2) (e23)) = (e23)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (unit2) (e21)) = (e21)) -> False). % 196.24/196.49 do 0 intro. intros zenon_Hdf zenon_H86 zenon_H67 zenon_H9e zenon_H39 zenon_Hc1 zenon_H9f zenon_H54 zenon_H55 zenon_H5d zenon_H56 zenon_Hce zenon_H40 zenon_H76 zenon_H29 zenon_H2a zenon_H2c zenon_H49 zenon_Hd9 zenon_Hcf zenon_Hd8 zenon_Haa zenon_H37 zenon_Ha9 zenon_Hb3 zenon_Hc7 zenon_H20 zenon_H41 zenon_H77. % 196.24/196.49 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_Hc0 | zenon_intro zenon_He0 ]. % 196.24/196.49 apply (zenon_L218_); trivial. % 196.24/196.49 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hd0 | zenon_intro zenon_He1 ]. % 196.24/196.49 apply (zenon_L74_); trivial. % 196.24/196.49 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_H78 | zenon_intro zenon_Hdb ]. % 196.24/196.49 apply (zenon_L81_); trivial. % 196.24/196.49 apply (zenon_L83_); trivial. % 196.24/196.49 (* end of lemma zenon_L263_ *) % 196.24/196.49 assert (zenon_L264_ : (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> ((op2 (unit2) (e21)) = (e21)) -> ((op2 (unit2) (e23)) = (e23)) -> ((op2 (e22) (e21)) = (e23)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e21) (unit2)) = (e21)) -> ((op2 (e22) (e20)) = (e21)) -> ((e20) = (op2 (e21) (e21))) -> ((op2 (unit2) (e20)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (unit2) (e22)) = (e22)) -> ((op2 (e23) (unit2)) = (e23)) -> ((op2 (e23) (e20)) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e22) (unit2)) = (e22)) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> False). % 196.24/196.49 do 0 intro. intros zenon_Hb6 zenon_H4d zenon_H77 zenon_H20 zenon_Hc7 zenon_Hb3 zenon_Ha9 zenon_Hd8 zenon_Hcf zenon_Hd9 zenon_H2c zenon_H2a zenon_H29 zenon_H76 zenon_Hce zenon_H9f zenon_Hc1 zenon_H39 zenon_H9e zenon_H86 zenon_Hdf zenon_H41 zenon_H37 zenon_H54 zenon_H55 zenon_H5d zenon_H56 zenon_Haf zenon_Ha4 zenon_H49 zenon_H40 zenon_H67. % 196.24/196.49 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_H4e | zenon_intro zenon_Hb7 ]. % 196.24/196.49 apply (zenon_L17_); trivial. % 196.24/196.49 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_Haa | zenon_intro zenon_Hb8 ]. % 196.24/196.49 apply (zenon_L263_); trivial. % 196.24/196.49 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H7d ]. % 196.24/196.49 apply (zenon_L50_); trivial. % 196.24/196.49 apply (zenon_L31_); trivial. % 196.24/196.49 (* end of lemma zenon_L264_ *) % 196.24/196.49 assert (zenon_L265_ : (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e11) (unit1)) = (e11)) -> ((unit1) = (e10)) -> ((op1 (e12) (e10)) = (e11)) -> False). % 196.24/196.49 do 0 intro. intros zenon_H1f4 zenon_H197 zenon_H102 zenon_H1f5. % 196.24/196.49 cut (((op1 (e11) (unit1)) = (e11)) = ((op1 (e11) (e10)) = (op1 (e12) (e10)))). % 196.24/196.49 intro zenon_D_pnotp. % 196.24/196.49 apply zenon_H1f4. % 196.24/196.49 rewrite <- zenon_D_pnotp. % 196.24/196.49 exact zenon_H197. % 196.24/196.49 cut (((e11) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H1f6]. % 196.24/196.49 cut (((op1 (e11) (unit1)) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H19a]. % 196.24/196.49 congruence. % 196.24/196.49 elim (classic ((op1 (e11) (e10)) = (op1 (e11) (e10)))); [ zenon_intro zenon_H136 | zenon_intro zenon_H137 ]. % 196.24/196.49 cut (((op1 (e11) (e10)) = (op1 (e11) (e10))) = ((op1 (e11) (unit1)) = (op1 (e11) (e10)))). % 196.24/196.49 intro zenon_D_pnotp. % 196.24/196.49 apply zenon_H19a. % 196.24/196.49 rewrite <- zenon_D_pnotp. % 196.24/196.49 exact zenon_H136. % 196.24/196.49 cut (((op1 (e11) (e10)) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H137]. % 196.24/196.49 cut (((op1 (e11) (e10)) = (op1 (e11) (unit1)))); [idtac | apply NNPP; zenon_intro zenon_H195]. % 196.24/196.49 congruence. % 196.24/196.49 apply (zenon_L151_); trivial. % 196.24/196.49 apply zenon_H137. apply refl_equal. % 196.24/196.49 apply zenon_H137. apply refl_equal. % 196.24/196.49 apply zenon_H1f6. apply sym_equal. exact zenon_H1f5. % 196.24/196.49 (* end of lemma zenon_L265_ *) % 196.24/196.49 assert (zenon_L266_ : (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> ((op1 (e12) (e10)) = (e11)) -> ((op1 (e11) (unit1)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((e10) = (op1 (e11) (e11))) -> ((op1 (unit1) (e10)) = (e10)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((op1 (e12) (e12)) = (e11)) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e12)) = (e12)) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> False). % 196.24/196.49 do 0 intro. intros zenon_H127 zenon_H1f5 zenon_H197 zenon_H1f4 zenon_H133 zenon_H132 zenon_H131 zenon_H14d zenon_H14c zenon_H14b zenon_H105 zenon_H120 zenon_H121. % 196.24/196.49 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H102 | zenon_intro zenon_H128 ]. % 196.24/196.49 apply (zenon_L265_); trivial. % 196.24/196.49 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H10d | zenon_intro zenon_H129 ]. % 196.24/196.49 apply (zenon_L112_); trivial. % 196.24/196.49 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H118 | zenon_intro zenon_H11f ]. % 196.24/196.49 apply (zenon_L123_); trivial. % 196.24/196.49 apply (zenon_L107_); trivial. % 196.24/196.49 (* end of lemma zenon_L266_ *) % 196.24/196.49 assert (zenon_L267_ : (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> ((op1 (e12) (e10)) = (e11)) -> ((op1 (e11) (unit1)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e10)) = (e13)) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> ((op1 (e13) (e12)) = (e11)) -> False). % 196.24/196.49 do 0 intro. intros zenon_H127 zenon_H1f5 zenon_H197 zenon_H1f4 zenon_H111 zenon_H11a zenon_H110 zenon_H10f zenon_H121 zenon_H14c zenon_H1b1. % 196.24/196.49 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H102 | zenon_intro zenon_H128 ]. % 196.24/196.49 apply (zenon_L265_); trivial. % 196.24/196.49 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H10d | zenon_intro zenon_H129 ]. % 196.24/196.49 apply (zenon_L104_); trivial. % 196.24/196.49 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H118 | zenon_intro zenon_H11f ]. % 196.24/196.49 apply (zenon_L106_); trivial. % 196.24/196.49 apply (zenon_L170_); trivial. % 196.24/196.49 (* end of lemma zenon_L267_ *) % 196.24/196.49 assert (zenon_L268_ : (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> ((op1 (e11) (unit1)) = (e11)) -> ((op1 (e12) (e10)) = (e11)) -> ((op1 (e13) (e12)) = (e11)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (e11) (e13)) = (e12)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (unit1) (e13)) = (e13)) -> ((op1 (unit1) (e10)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (unit1) (e12)) = (e12)) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> False). % 196.24/196.49 do 0 intro. intros zenon_H173 zenon_H1f4 zenon_H197 zenon_H1f5 zenon_H1b1 zenon_H17e zenon_H17f zenon_H111 zenon_H13a zenon_H132 zenon_H143 zenon_H14c zenon_H14b zenon_H11a zenon_H127 zenon_H172 zenon_H13b zenon_H10f zenon_H15b zenon_H105 zenon_H120 zenon_H121. % 196.24/196.49 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H110 | zenon_intro zenon_H174 ]. % 196.24/196.49 apply (zenon_L267_); trivial. % 196.24/196.49 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H12b | zenon_intro zenon_H175 ]. % 196.24/196.49 apply (zenon_L172_); trivial. % 196.24/196.49 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H140 | zenon_intro zenon_H15c ]. % 196.24/196.49 apply (zenon_L130_); trivial. % 196.24/196.49 apply (zenon_L133_); trivial. % 196.24/196.49 (* end of lemma zenon_L268_ *) % 196.24/196.49 assert (zenon_L269_ : (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e10)) = (e10)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (e12) (e10)) = (e11)) -> ((op1 (e11) (unit1)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (unit1) (e12)) = (e12)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> False). % 196.24/196.49 do 0 intro. intros zenon_H1b5 zenon_H178 zenon_H1a3 zenon_H19c zenon_H196 zenon_H1a7 zenon_H192 zenon_H133 zenon_H131 zenon_H104 zenon_H14b zenon_H14c zenon_H143 zenon_H132 zenon_H17e zenon_H1f5 zenon_H197 zenon_H1f4 zenon_H121 zenon_H105 zenon_H15b zenon_H10f zenon_H172 zenon_H127 zenon_H11a zenon_H18e zenon_H13a zenon_H185 zenon_H186 zenon_H18b zenon_H111 zenon_H173 zenon_H120 zenon_H13b. % 196.24/196.49 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H177 | zenon_intro zenon_H1b6 ]. % 196.24/196.49 apply (zenon_L150_); trivial. % 196.24/196.49 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H198 | zenon_intro zenon_H1b7 ]. % 196.24/196.49 apply (zenon_L166_); trivial. % 196.24/196.49 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H14d | zenon_intro zenon_H1b1 ]. % 196.24/196.49 apply (zenon_L266_); trivial. % 196.24/196.49 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H106 | zenon_intro zenon_H193 ]. % 196.24/196.49 apply (zenon_L134_); trivial. % 196.24/196.49 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H17f | zenon_intro zenon_H194 ]. % 196.24/196.49 apply (zenon_L268_); trivial. % 196.24/196.49 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H187 | zenon_intro zenon_H152 ]. % 196.24/196.49 apply (zenon_L149_); trivial. % 196.24/196.49 apply (zenon_L124_); trivial. % 196.24/196.49 (* end of lemma zenon_L269_ *) % 196.24/196.49 assert (zenon_L270_ : (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((op1 (unit1) (e11)) = (e11)) -> ((unit1) = (e10)) -> ((op1 (e12) (e11)) = (e11)) -> False). % 196.24/196.49 do 0 intro. intros zenon_H1f7 zenon_H14c zenon_H102 zenon_H1f8. % 196.24/196.49 cut (((op1 (unit1) (e11)) = (e11)) = ((op1 (e10) (e11)) = (op1 (e12) (e11)))). % 196.24/196.49 intro zenon_D_pnotp. % 196.24/196.49 apply zenon_H1f7. % 196.24/196.49 rewrite <- zenon_D_pnotp. % 196.24/196.49 exact zenon_H14c. % 196.24/196.49 cut (((e11) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H1f9]. % 196.24/196.49 cut (((op1 (unit1) (e11)) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H17a]. % 196.24/196.49 congruence. % 196.24/196.49 elim (classic ((op1 (e10) (e11)) = (op1 (e10) (e11)))); [ zenon_intro zenon_H17b | zenon_intro zenon_H17c ]. % 196.24/196.49 cut (((op1 (e10) (e11)) = (op1 (e10) (e11))) = ((op1 (unit1) (e11)) = (op1 (e10) (e11)))). % 196.24/196.49 intro zenon_D_pnotp. % 196.24/196.49 apply zenon_H17a. % 196.24/196.49 rewrite <- zenon_D_pnotp. % 196.24/196.49 exact zenon_H17b. % 196.24/196.49 cut (((op1 (e10) (e11)) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H17c]. % 196.24/196.49 cut (((op1 (e10) (e11)) = (op1 (unit1) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H176]. % 196.24/196.49 congruence. % 196.24/196.49 apply (zenon_L135_); trivial. % 196.24/196.49 apply zenon_H17c. apply refl_equal. % 196.24/196.49 apply zenon_H17c. apply refl_equal. % 196.24/196.49 apply zenon_H1f9. apply sym_equal. exact zenon_H1f8. % 196.24/196.49 (* end of lemma zenon_L270_ *) % 196.24/196.49 assert (zenon_L271_ : (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> ((op1 (e12) (e11)) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e13) (e10)) = (e13)) -> ((op1 (e13) (unit1)) = (e13)) -> ((op1 (e12) (e12)) = (e11)) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e12)) = (e12)) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> False). % 196.24/196.49 do 0 intro. intros zenon_H127 zenon_H1f8 zenon_H1f7 zenon_H111 zenon_H110 zenon_H10f zenon_H14d zenon_H14c zenon_H14b zenon_H105 zenon_H120 zenon_H121. % 196.24/196.49 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H102 | zenon_intro zenon_H128 ]. % 196.24/196.49 apply (zenon_L270_); trivial. % 196.24/196.49 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H10d | zenon_intro zenon_H129 ]. % 196.24/196.49 apply (zenon_L104_); trivial. % 196.24/196.49 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H118 | zenon_intro zenon_H11f ]. % 196.24/196.49 apply (zenon_L123_); trivial. % 196.24/196.49 apply (zenon_L107_); trivial. % 196.24/196.49 (* end of lemma zenon_L271_ *) % 196.24/196.49 assert (zenon_L272_ : (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> ((op1 (e12) (e11)) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e11) (e13)) = (e12)) -> ((op1 (unit1) (e12)) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e10)) = (e10)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> ((op1 (e13) (e12)) = (e11)) -> False). % 196.24/196.49 do 0 intro. intros zenon_H127 zenon_H1f8 zenon_H1f7 zenon_H17f zenon_H105 zenon_H17e zenon_H10f zenon_H15b zenon_H120 zenon_H13b zenon_H14b zenon_H143 zenon_H132 zenon_H121 zenon_H14c zenon_H1b1. % 196.24/196.49 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H102 | zenon_intro zenon_H128 ]. % 196.24/196.49 apply (zenon_L270_); trivial. % 196.24/196.49 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H10d | zenon_intro zenon_H129 ]. % 196.24/196.49 apply (zenon_L138_); trivial. % 196.24/196.49 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H118 | zenon_intro zenon_H11f ]. % 196.24/196.49 apply (zenon_L128_); trivial. % 196.24/196.49 apply (zenon_L170_); trivial. % 196.24/196.49 (* end of lemma zenon_L272_ *) % 196.24/196.49 assert (zenon_L273_ : (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> ((op1 (e13) (e12)) = (e11)) -> ((op1 (unit1) (e11)) = (e11)) -> ((op1 (unit1) (e10)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e12) (e11)) = (e11)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (unit1) (e12)) = (e12)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> False). % 196.24/196.49 do 0 intro. intros zenon_H192 zenon_H133 zenon_H131 zenon_H104 zenon_H1b1 zenon_H14c zenon_H132 zenon_H143 zenon_H14b zenon_H17e zenon_H1f7 zenon_H1f8 zenon_H121 zenon_H105 zenon_H15b zenon_H10f zenon_H172 zenon_H127 zenon_H11a zenon_H18e zenon_H13a zenon_H185 zenon_H186 zenon_H18b zenon_H111 zenon_H173 zenon_H120 zenon_H13b. % 196.24/196.49 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H106 | zenon_intro zenon_H193 ]. % 196.24/196.49 apply (zenon_L134_); trivial. % 196.24/196.49 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H17f | zenon_intro zenon_H194 ]. % 196.24/196.49 apply (zenon_L272_); trivial. % 196.24/196.49 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H187 | zenon_intro zenon_H152 ]. % 196.24/196.49 apply (zenon_L149_); trivial. % 196.24/196.49 apply (zenon_L124_); trivial. % 196.24/196.49 (* end of lemma zenon_L273_ *) % 196.24/196.49 assert (zenon_L274_ : (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((op1 (e11) (unit1)) = (e11)) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((op1 (e13) (e10)) = (e13)) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> ((op1 (unit1) (e11)) = (e11)) -> ((op1 (unit1) (e10)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e12) (e11)) = (e11)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (unit1) (e12)) = (e12)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> False). % 196.24/196.49 do 0 intro. intros zenon_H1b5 zenon_H178 zenon_H1a3 zenon_H19c zenon_H196 zenon_H197 zenon_H1a7 zenon_H110 zenon_H192 zenon_H133 zenon_H131 zenon_H104 zenon_H14c zenon_H132 zenon_H143 zenon_H14b zenon_H17e zenon_H1f7 zenon_H1f8 zenon_H121 zenon_H105 zenon_H15b zenon_H10f zenon_H172 zenon_H127 zenon_H11a zenon_H18e zenon_H13a zenon_H185 zenon_H186 zenon_H18b zenon_H111 zenon_H173 zenon_H120 zenon_H13b. % 196.24/196.49 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H177 | zenon_intro zenon_H1b6 ]. % 196.24/196.49 apply (zenon_L136_); trivial. % 196.24/196.49 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H198 | zenon_intro zenon_H1b7 ]. % 196.24/196.49 apply (zenon_L166_); trivial. % 196.24/196.49 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H14d | zenon_intro zenon_H1b1 ]. % 196.24/196.49 apply (zenon_L271_); trivial. % 196.24/196.49 apply (zenon_L273_); trivial. % 196.24/196.49 (* end of lemma zenon_L274_ *) % 196.24/196.49 assert (zenon_L275_ : (~((h8 (op1 (e10) (e11))) = (op2 (h8 (e10)) (h8 (e11))))) -> ((op1 (e10) (e11)) = (e11)) -> ((op2 (e20) (e22)) = (e22)) -> ((h8 (e10)) = (op2 (e22) (e22))) -> ((op2 (e22) (e22)) = (e20)) -> ((h8 (e11)) = (e22)) -> False). % 196.24/196.49 do 0 intro. intros zenon_H1fa zenon_H1fb zenon_H1fc zenon_Hf0 zenon_H6f zenon_H1fd. % 196.24/196.49 cut (((h8 (e11)) = (e22)) = ((h8 (op1 (e10) (e11))) = (op2 (h8 (e10)) (h8 (e11))))). % 196.24/196.49 intro zenon_D_pnotp. % 196.24/196.49 apply zenon_H1fa. % 196.24/196.49 rewrite <- zenon_D_pnotp. % 196.24/196.49 exact zenon_H1fd. % 196.24/196.49 cut (((e22) = (op2 (h8 (e10)) (h8 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H1fe]. % 196.24/196.49 cut (((h8 (e11)) = (h8 (op1 (e10) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H1ff]. % 196.24/196.49 congruence. % 196.24/196.49 elim (classic ((h8 (op1 (e10) (e11))) = (h8 (op1 (e10) (e11))))); [ zenon_intro zenon_H200 | zenon_intro zenon_H201 ]. % 196.24/196.49 cut (((h8 (op1 (e10) (e11))) = (h8 (op1 (e10) (e11)))) = ((h8 (e11)) = (h8 (op1 (e10) (e11))))). % 196.24/196.49 intro zenon_D_pnotp. % 196.24/196.49 apply zenon_H1ff. % 196.24/196.49 rewrite <- zenon_D_pnotp. % 196.24/196.49 exact zenon_H200. % 196.24/196.49 cut (((h8 (op1 (e10) (e11))) = (h8 (op1 (e10) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H201]. % 196.24/196.49 cut (((h8 (op1 (e10) (e11))) = (h8 (e11)))); [idtac | apply NNPP; zenon_intro zenon_H202]. % 196.24/196.49 congruence. % 196.24/196.49 cut (((op1 (e10) (e11)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H203]. % 196.24/196.49 congruence. % 196.24/196.49 exact (zenon_H203 zenon_H1fb). % 196.24/196.49 apply zenon_H201. apply refl_equal. % 196.24/196.49 apply zenon_H201. apply refl_equal. % 196.24/196.49 elim (classic ((op2 (h8 (e10)) (h8 (e11))) = (op2 (h8 (e10)) (h8 (e11))))); [ zenon_intro zenon_H204 | zenon_intro zenon_H205 ]. % 196.24/196.49 cut (((op2 (h8 (e10)) (h8 (e11))) = (op2 (h8 (e10)) (h8 (e11)))) = ((e22) = (op2 (h8 (e10)) (h8 (e11))))). % 196.24/196.49 intro zenon_D_pnotp. % 196.24/196.49 apply zenon_H1fe. % 196.24/196.49 rewrite <- zenon_D_pnotp. % 196.24/196.49 exact zenon_H204. % 196.24/196.49 cut (((op2 (h8 (e10)) (h8 (e11))) = (op2 (h8 (e10)) (h8 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H205]. % 196.24/196.49 cut (((op2 (h8 (e10)) (h8 (e11))) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H206]. % 196.24/196.49 congruence. % 196.24/196.49 cut (((op2 (e20) (e22)) = (e22)) = ((op2 (h8 (e10)) (h8 (e11))) = (e22))). % 196.24/196.49 intro zenon_D_pnotp. % 196.24/196.49 apply zenon_H206. % 196.24/196.49 rewrite <- zenon_D_pnotp. % 196.24/196.49 exact zenon_H1fc. % 196.24/196.49 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H33]. % 196.24/196.49 cut (((op2 (e20) (e22)) = (op2 (h8 (e10)) (h8 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H207]. % 196.24/196.49 congruence. % 196.24/196.49 elim (classic ((op2 (h8 (e10)) (h8 (e11))) = (op2 (h8 (e10)) (h8 (e11))))); [ zenon_intro zenon_H204 | zenon_intro zenon_H205 ]. % 196.24/196.49 cut (((op2 (h8 (e10)) (h8 (e11))) = (op2 (h8 (e10)) (h8 (e11)))) = ((op2 (e20) (e22)) = (op2 (h8 (e10)) (h8 (e11))))). % 196.24/196.49 intro zenon_D_pnotp. % 196.24/196.49 apply zenon_H207. % 196.24/196.49 rewrite <- zenon_D_pnotp. % 196.24/196.49 exact zenon_H204. % 196.24/196.49 cut (((op2 (h8 (e10)) (h8 (e11))) = (op2 (h8 (e10)) (h8 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H205]. % 196.24/196.49 cut (((op2 (h8 (e10)) (h8 (e11))) = (op2 (e20) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H208]. % 196.24/196.49 congruence. % 196.24/196.49 cut (((h8 (e11)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H209]. % 196.24/196.49 cut (((h8 (e10)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_Hef]. % 196.24/196.49 congruence. % 196.24/196.49 apply (zenon_L94_); trivial. % 196.24/196.49 exact (zenon_H209 zenon_H1fd). % 196.24/196.49 apply zenon_H205. apply refl_equal. % 196.24/196.49 apply zenon_H205. apply refl_equal. % 196.24/196.49 apply zenon_H33. apply refl_equal. % 196.24/196.49 apply zenon_H205. apply refl_equal. % 196.24/196.49 apply zenon_H205. apply refl_equal. % 196.24/196.49 (* end of lemma zenon_L275_ *) % 196.24/196.49 assert (zenon_L276_ : ((op1 (unit1) (e12)) = (e12)) -> ((unit1) = (e10)) -> ((op1 (e10) (e11)) = (e12)) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> False). % 196.24/196.49 do 0 intro. intros zenon_H105 zenon_H102 zenon_H20a zenon_H178. % 196.24/196.49 elim (classic ((op1 (e10) (e12)) = (op1 (e10) (e12)))); [ zenon_intro zenon_H109 | zenon_intro zenon_H10a ]. % 196.24/196.49 cut (((op1 (e10) (e12)) = (op1 (e10) (e12))) = ((op1 (e10) (e11)) = (op1 (e10) (e12)))). % 196.24/196.49 intro zenon_D_pnotp. % 196.24/196.49 apply zenon_H178. % 196.24/196.49 rewrite <- zenon_D_pnotp. % 196.24/196.49 exact zenon_H109. % 196.24/196.49 cut (((op1 (e10) (e12)) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H10a]. % 196.24/196.49 cut (((op1 (e10) (e12)) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H20b]. % 196.24/196.49 congruence. % 196.24/196.49 cut (((op1 (unit1) (e12)) = (e12)) = ((op1 (e10) (e12)) = (op1 (e10) (e11)))). % 196.24/196.49 intro zenon_D_pnotp. % 196.24/196.49 apply zenon_H20b. % 196.24/196.49 rewrite <- zenon_D_pnotp. % 196.24/196.49 exact zenon_H105. % 196.24/196.49 cut (((e12) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H20c]. % 196.24/196.49 cut (((op1 (unit1) (e12)) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H108]. % 196.24/196.49 congruence. % 196.24/196.49 elim (classic ((op1 (e10) (e12)) = (op1 (e10) (e12)))); [ zenon_intro zenon_H109 | zenon_intro zenon_H10a ]. % 196.24/196.49 cut (((op1 (e10) (e12)) = (op1 (e10) (e12))) = ((op1 (unit1) (e12)) = (op1 (e10) (e12)))). % 196.24/196.49 intro zenon_D_pnotp. % 196.24/196.49 apply zenon_H108. % 196.24/196.49 rewrite <- zenon_D_pnotp. % 196.24/196.49 exact zenon_H109. % 196.24/196.49 cut (((op1 (e10) (e12)) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H10a]. % 196.24/196.49 cut (((op1 (e10) (e12)) = (op1 (unit1) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H101]. % 196.24/196.49 congruence. % 196.24/196.49 apply (zenon_L100_); trivial. % 196.24/196.49 apply zenon_H10a. apply refl_equal. % 196.24/196.49 apply zenon_H10a. apply refl_equal. % 196.24/196.49 apply zenon_H20c. apply sym_equal. exact zenon_H20a. % 196.24/196.49 apply zenon_H10a. apply refl_equal. % 196.24/196.49 apply zenon_H10a. apply refl_equal. % 196.24/196.49 (* end of lemma zenon_L276_ *) % 196.24/196.49 assert (zenon_L277_ : (~((op1 (e10) (e13)) = (op1 (unit1) (e13)))) -> ((unit1) = (e10)) -> False). % 196.24/196.49 do 0 intro. intros zenon_H20d zenon_H102. % 196.24/196.49 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H10b]. % 196.24/196.49 cut (((e10) = (unit1))); [idtac | apply NNPP; zenon_intro zenon_H103]. % 196.24/196.49 congruence. % 196.24/196.49 apply zenon_H103. apply sym_equal. exact zenon_H102. % 196.24/196.49 apply zenon_H10b. apply refl_equal. % 196.24/196.49 (* end of lemma zenon_L277_ *) % 196.24/196.49 assert (zenon_L278_ : ((op1 (unit1) (e13)) = (e13)) -> ((unit1) = (e10)) -> ((op1 (e10) (e11)) = (e13)) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False). % 196.24/196.49 do 0 intro. intros zenon_H13a zenon_H102 zenon_H20e zenon_H20f. % 196.24/196.49 elim (classic ((op1 (e10) (e13)) = (op1 (e10) (e13)))); [ zenon_intro zenon_H210 | zenon_intro zenon_H211 ]. % 196.24/196.49 cut (((op1 (e10) (e13)) = (op1 (e10) (e13))) = ((op1 (e10) (e11)) = (op1 (e10) (e13)))). % 196.24/196.49 intro zenon_D_pnotp. % 196.24/196.49 apply zenon_H20f. % 196.24/196.49 rewrite <- zenon_D_pnotp. % 196.24/196.49 exact zenon_H210. % 196.24/196.49 cut (((op1 (e10) (e13)) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H211]. % 196.24/196.49 cut (((op1 (e10) (e13)) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H212]. % 196.24/196.49 congruence. % 196.24/196.49 cut (((op1 (unit1) (e13)) = (e13)) = ((op1 (e10) (e13)) = (op1 (e10) (e11)))). % 196.24/196.49 intro zenon_D_pnotp. % 196.24/196.49 apply zenon_H212. % 196.24/196.49 rewrite <- zenon_D_pnotp. % 196.24/196.49 exact zenon_H13a. % 196.24/196.49 cut (((e13) = (op1 (e10) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H213]. % 196.24/196.49 cut (((op1 (unit1) (e13)) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H214]. % 196.24/196.49 congruence. % 196.24/196.49 elim (classic ((op1 (e10) (e13)) = (op1 (e10) (e13)))); [ zenon_intro zenon_H210 | zenon_intro zenon_H211 ]. % 196.24/196.49 cut (((op1 (e10) (e13)) = (op1 (e10) (e13))) = ((op1 (unit1) (e13)) = (op1 (e10) (e13)))). % 196.24/196.49 intro zenon_D_pnotp. % 196.24/196.49 apply zenon_H214. % 196.24/196.49 rewrite <- zenon_D_pnotp. % 196.24/196.49 exact zenon_H210. % 196.24/196.49 cut (((op1 (e10) (e13)) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H211]. % 196.24/196.49 cut (((op1 (e10) (e13)) = (op1 (unit1) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H20d]. % 196.24/196.49 congruence. % 196.24/196.49 apply (zenon_L277_); trivial. % 196.24/196.49 apply zenon_H211. apply refl_equal. % 196.24/196.49 apply zenon_H211. apply refl_equal. % 196.24/196.49 apply zenon_H213. apply sym_equal. exact zenon_H20e. % 196.24/196.49 apply zenon_H211. apply refl_equal. % 196.24/196.49 apply zenon_H211. apply refl_equal. % 196.24/196.49 (* end of lemma zenon_L278_ *) % 196.24/196.49 assert (zenon_L279_ : (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> ((op1 (unit1) (e10)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((h8 (e11)) = (e22)) -> ((op2 (e22) (e22)) = (e20)) -> ((h8 (e10)) = (op2 (e22) (e22))) -> ((op2 (e20) (e22)) = (e22)) -> (~((h8 (op1 (e10) (e11))) = (op2 (h8 (e10)) (h8 (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((op1 (unit1) (e12)) = (e12)) -> ((op1 (unit1) (e13)) = (e13)) -> ((unit1) = (e10)) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> False). % 196.24/196.49 do 0 intro. intros zenon_H215 zenon_H132 zenon_H1ab zenon_H1fd zenon_H6f zenon_Hf0 zenon_H1fc zenon_H1fa zenon_H178 zenon_H105 zenon_H13a zenon_H102 zenon_H20f. % 196.24/196.49 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H1ac | zenon_intro zenon_H216 ]. % 196.24/196.49 apply (zenon_L168_); trivial. % 196.24/196.49 apply (zenon_or_s _ _ zenon_H216); [ zenon_intro zenon_H1fb | zenon_intro zenon_H217 ]. % 196.24/196.49 apply (zenon_L275_); trivial. % 196.24/196.49 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H20a | zenon_intro zenon_H20e ]. % 196.24/196.49 apply (zenon_L276_); trivial. % 196.24/196.49 apply (zenon_L278_); trivial. % 196.24/196.49 (* end of lemma zenon_L279_ *) % 196.24/196.49 assert (zenon_L280_ : (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((unit1) = (e10)) -> ((op1 (unit1) (e13)) = (e13)) -> ((op1 (unit1) (e12)) = (e12)) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((h8 (op1 (e10) (e11))) = (op2 (h8 (e10)) (h8 (e11))))) -> ((op2 (e20) (e22)) = (e22)) -> ((h8 (e10)) = (op2 (e22) (e22))) -> ((h8 (e11)) = (e22)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((op1 (unit1) (e10)) = (e10)) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> ((op2 (e21) (unit2)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (e23) (unit2)) = (e23)) -> ((unit2) = (e20)) -> False). % 196.24/196.49 do 0 intro. intros zenon_H20f zenon_H102 zenon_H13a zenon_H105 zenon_H178 zenon_H1fa zenon_H1fc zenon_Hf0 zenon_H1fd zenon_H1ab zenon_H132 zenon_H215 zenon_Hcf zenon_H29 zenon_H67 zenon_H40 zenon_H9e zenon_H54 zenon_H1e. % 196.24/196.49 apply (zenon_or_s _ _ ax13); [ zenon_intro zenon_H90 | zenon_intro zenon_H8f ]. % 196.24/196.49 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H92. zenon_intro zenon_H91. % 196.24/196.49 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H94. zenon_intro zenon_H93. % 196.24/196.49 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_H6f. zenon_intro zenon_H95. % 196.24/196.49 apply (zenon_L279_); trivial. % 196.24/196.49 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H97 | zenon_intro zenon_H96 ]. % 196.24/196.49 apply (zenon_L91_); trivial. % 196.24/196.49 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H80 | zenon_intro zenon_H89 ]. % 196.24/196.49 apply (zenon_L32_); trivial. % 196.24/196.49 apply (zenon_L92_); trivial. % 196.24/196.49 (* end of lemma zenon_L280_ *) % 196.24/196.49 assert (zenon_L281_ : (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> ((unit2) = (e20)) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (e21) (unit2)) = (e21)) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> ((op1 (unit1) (e10)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((h8 (e11)) = (e22)) -> ((h8 (e10)) = (op2 (e22) (e22))) -> ((op2 (e20) (e22)) = (e22)) -> (~((h8 (op1 (e10) (e11))) = (op2 (h8 (e10)) (h8 (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e13) (e10)) = (e13)) -> ((op1 (e13) (unit1)) = (e13)) -> ((op1 (e12) (e12)) = (e11)) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e12)) = (e12)) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> False). % 196.24/196.49 do 0 intro. intros zenon_H127 zenon_H1e zenon_H54 zenon_H9e zenon_H40 zenon_H67 zenon_H29 zenon_Hcf zenon_H215 zenon_H132 zenon_H1ab zenon_H1fd zenon_Hf0 zenon_H1fc zenon_H1fa zenon_H178 zenon_H13a zenon_H20f zenon_H111 zenon_H110 zenon_H10f zenon_H14d zenon_H14c zenon_H14b zenon_H105 zenon_H120 zenon_H121. % 196.24/196.49 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H102 | zenon_intro zenon_H128 ]. % 196.24/196.49 apply (zenon_L280_); trivial. % 196.24/196.49 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H10d | zenon_intro zenon_H129 ]. % 196.24/196.49 apply (zenon_L104_); trivial. % 196.24/196.49 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H118 | zenon_intro zenon_H11f ]. % 196.24/196.49 apply (zenon_L123_); trivial. % 196.24/196.49 apply (zenon_L107_); trivial. % 196.24/196.49 (* end of lemma zenon_L281_ *) % 196.24/196.49 assert (zenon_L282_ : (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (unit1) (e11)) = (e11)) -> ((unit1) = (e12)) -> ((op1 (e12) (e13)) = (e11)) -> False). % 196.24/196.49 do 0 intro. intros zenon_H18b zenon_H14c zenon_H118 zenon_H218. % 196.24/196.49 cut (((op1 (unit1) (e11)) = (e11)) = ((op1 (e12) (e11)) = (op1 (e12) (e13)))). % 196.24/196.49 intro zenon_D_pnotp. % 196.24/196.49 apply zenon_H18b. % 196.24/196.49 rewrite <- zenon_D_pnotp. % 196.24/196.49 exact zenon_H14c. % 196.24/196.49 cut (((e11) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H219]. % 196.24/196.49 cut (((op1 (unit1) (e11)) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H14f]. % 196.24/196.49 congruence. % 196.24/196.49 elim (classic ((op1 (e12) (e11)) = (op1 (e12) (e11)))); [ zenon_intro zenon_H150 | zenon_intro zenon_H151 ]. % 196.24/196.49 cut (((op1 (e12) (e11)) = (op1 (e12) (e11))) = ((op1 (unit1) (e11)) = (op1 (e12) (e11)))). % 196.24/196.49 intro zenon_D_pnotp. % 196.24/196.49 apply zenon_H14f. % 196.24/196.49 rewrite <- zenon_D_pnotp. % 196.24/196.49 exact zenon_H150. % 196.24/196.49 cut (((op1 (e12) (e11)) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H151]. % 196.24/196.49 cut (((op1 (e12) (e11)) = (op1 (unit1) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H14a]. % 196.24/196.49 congruence. % 196.24/196.49 apply (zenon_L122_); trivial. % 196.24/196.49 apply zenon_H151. apply refl_equal. % 196.24/196.49 apply zenon_H151. apply refl_equal. % 196.24/196.49 apply zenon_H219. apply sym_equal. exact zenon_H218. % 196.24/196.49 (* end of lemma zenon_L282_ *) % 196.24/196.49 assert (zenon_L283_ : (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((op1 (e10) (e11)) = (e13)) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e13) (e10)) = (e13)) -> ((op1 (e13) (unit1)) = (e13)) -> ((op1 (e12) (e13)) = (e11)) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (unit1) (e12)) = (e12)) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> False). % 196.24/196.49 do 0 intro. intros zenon_H127 zenon_H20f zenon_H20e zenon_H13a zenon_H111 zenon_H110 zenon_H10f zenon_H218 zenon_H14c zenon_H18b zenon_H105 zenon_H120 zenon_H121. % 196.24/196.49 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H102 | zenon_intro zenon_H128 ]. % 196.24/196.49 apply (zenon_L278_); trivial. % 196.24/196.49 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H10d | zenon_intro zenon_H129 ]. % 196.24/196.49 apply (zenon_L104_); trivial. % 196.24/196.49 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H118 | zenon_intro zenon_H11f ]. % 196.24/196.49 apply (zenon_L282_); trivial. % 196.24/196.49 apply (zenon_L107_); trivial. % 196.24/196.49 (* end of lemma zenon_L283_ *) % 196.24/196.49 assert (zenon_L284_ : (~((e10) = (e13))) -> ((e10) = (op1 (e11) (e11))) -> ((op1 (e11) (e11)) = (e13)) -> False). % 196.24/196.49 do 0 intro. intros zenon_H21a zenon_H133 zenon_H162. % 196.24/196.49 cut (((e10) = (op1 (e11) (e11))) = ((e10) = (e13))). % 196.24/196.49 intro zenon_D_pnotp. % 196.24/196.49 apply zenon_H21a. % 196.24/196.49 rewrite <- zenon_D_pnotp. % 196.24/196.49 exact zenon_H133. % 196.24/196.49 cut (((op1 (e11) (e11)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H21b]. % 196.24/196.49 cut (((e10) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H130]. % 196.24/196.49 congruence. % 196.24/196.49 apply zenon_H130. apply refl_equal. % 196.24/196.49 exact (zenon_H21b zenon_H162). % 196.24/196.49 (* end of lemma zenon_L284_ *) % 196.24/196.49 assert (zenon_L285_ : (~((op1 (e12) (e13)) = (op1 (unit1) (e13)))) -> ((unit1) = (e12)) -> False). % 196.24/196.49 do 0 intro. intros zenon_H21c zenon_H118. % 196.24/196.49 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H10b]. % 196.24/196.49 cut (((e12) = (unit1))); [idtac | apply NNPP; zenon_intro zenon_H119]. % 196.24/196.49 congruence. % 196.24/196.49 apply zenon_H119. apply sym_equal. exact zenon_H118. % 196.24/196.49 apply zenon_H10b. apply refl_equal. % 196.24/196.49 (* end of lemma zenon_L285_ *) % 196.24/196.49 assert (zenon_L286_ : ((op1 (unit1) (e13)) = (e13)) -> ((unit1) = (e12)) -> ((op1 (e12) (e11)) = (e13)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> False). % 196.24/196.49 do 0 intro. intros zenon_H13a zenon_H118 zenon_H21d zenon_H18b. % 196.24/196.49 elim (classic ((op1 (e12) (e13)) = (op1 (e12) (e13)))); [ zenon_intro zenon_H21e | zenon_intro zenon_H21f ]. % 196.24/196.49 cut (((op1 (e12) (e13)) = (op1 (e12) (e13))) = ((op1 (e12) (e11)) = (op1 (e12) (e13)))). % 196.24/196.49 intro zenon_D_pnotp. % 196.24/196.49 apply zenon_H18b. % 196.24/196.49 rewrite <- zenon_D_pnotp. % 196.24/196.49 exact zenon_H21e. % 196.24/196.49 cut (((op1 (e12) (e13)) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H21f]. % 196.24/196.49 cut (((op1 (e12) (e13)) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H220]. % 196.24/196.49 congruence. % 196.24/196.49 cut (((op1 (unit1) (e13)) = (e13)) = ((op1 (e12) (e13)) = (op1 (e12) (e11)))). % 196.24/196.49 intro zenon_D_pnotp. % 196.24/196.49 apply zenon_H220. % 196.24/196.49 rewrite <- zenon_D_pnotp. % 196.24/196.49 exact zenon_H13a. % 196.24/196.49 cut (((e13) = (op1 (e12) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H221]. % 196.24/196.49 cut (((op1 (unit1) (e13)) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H222]. % 196.24/196.49 congruence. % 196.24/196.49 elim (classic ((op1 (e12) (e13)) = (op1 (e12) (e13)))); [ zenon_intro zenon_H21e | zenon_intro zenon_H21f ]. % 196.24/196.49 cut (((op1 (e12) (e13)) = (op1 (e12) (e13))) = ((op1 (unit1) (e13)) = (op1 (e12) (e13)))). % 196.24/196.49 intro zenon_D_pnotp. % 196.24/196.49 apply zenon_H222. % 196.24/196.49 rewrite <- zenon_D_pnotp. % 196.24/196.49 exact zenon_H21e. % 196.24/196.49 cut (((op1 (e12) (e13)) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H21f]. % 196.24/196.49 cut (((op1 (e12) (e13)) = (op1 (unit1) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H21c]. % 196.24/196.49 congruence. % 196.24/196.49 apply (zenon_L285_); trivial. % 196.24/196.49 apply zenon_H21f. apply refl_equal. % 196.24/196.49 apply zenon_H21f. apply refl_equal. % 196.24/196.49 apply zenon_H221. apply sym_equal. exact zenon_H21d. % 196.24/196.49 apply zenon_H21f. apply refl_equal. % 196.24/196.49 apply zenon_H21f. apply refl_equal. % 196.24/196.49 (* end of lemma zenon_L286_ *) % 196.24/196.49 assert (zenon_L287_ : (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e12)) = (e13)) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (e12) (e11)) = (e13)) -> ((op1 (unit1) (e13)) = (e13)) -> ((op1 (unit1) (e12)) = (e12)) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> False). % 196.24/196.49 do 0 intro. intros zenon_H127 zenon_H11a zenon_H140 zenon_H10f zenon_H18b zenon_H21d zenon_H13a zenon_H105 zenon_H120 zenon_H121. % 196.24/196.49 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H102 | zenon_intro zenon_H128 ]. % 196.24/196.49 apply (zenon_L117_); trivial. % 196.24/196.49 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H10d | zenon_intro zenon_H129 ]. % 196.24/196.49 apply (zenon_L118_); trivial. % 196.24/196.49 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H118 | zenon_intro zenon_H11f ]. % 196.24/196.49 apply (zenon_L286_); trivial. % 196.24/196.49 apply (zenon_L107_); trivial. % 196.24/196.49 (* end of lemma zenon_L287_ *) % 196.24/196.49 assert (zenon_L288_ : (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> ((op1 (e10) (e12)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((op1 (unit1) (e10)) = (e10)) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (unit1) (e13)) = (e13)) -> ((op1 (e12) (e11)) = (e13)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (unit1) (e12)) = (e12)) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> False). % 196.24/196.49 do 0 intro. intros zenon_H173 zenon_H178 zenon_H14c zenon_H177 zenon_H131 zenon_H132 zenon_H133 zenon_H111 zenon_H13a zenon_H21d zenon_H18b zenon_H11a zenon_H127 zenon_H172 zenon_H13b zenon_H10f zenon_H15b zenon_H105 zenon_H120 zenon_H121. % 196.24/196.49 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H110 | zenon_intro zenon_H174 ]. % 196.24/196.49 apply (zenon_L136_); trivial. % 196.24/196.49 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H12b | zenon_intro zenon_H175 ]. % 196.24/196.49 apply (zenon_L116_); trivial. % 196.24/196.49 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H140 | zenon_intro zenon_H15c ]. % 196.24/196.49 apply (zenon_L287_); trivial. % 196.24/196.49 apply (zenon_L133_); trivial. % 196.24/196.49 (* end of lemma zenon_L288_ *) % 196.24/196.49 assert (zenon_L289_ : (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (e12) (e13)) = (e11)) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (unit1) (e13)) = (e13)) -> ((op1 (e13) (e12)) = (e13)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> False). % 196.24/196.49 do 0 intro. intros zenon_H127 zenon_H11a zenon_H10f zenon_H121 zenon_H218 zenon_H14c zenon_H18b zenon_H13a zenon_H140 zenon_H15b. % 196.24/196.49 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H102 | zenon_intro zenon_H128 ]. % 196.24/196.49 apply (zenon_L117_); trivial. % 196.24/196.49 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H10d | zenon_intro zenon_H129 ]. % 196.24/196.49 apply (zenon_L118_); trivial. % 196.24/196.49 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H118 | zenon_intro zenon_H11f ]. % 196.24/196.49 apply (zenon_L282_); trivial. % 196.24/196.49 apply (zenon_L129_); trivial. % 196.24/196.49 (* end of lemma zenon_L289_ *) % 196.24/196.49 assert (zenon_L290_ : (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((op1 (unit1) (e10)) = (e10)) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (unit1) (e11)) = (e11)) -> ((op1 (e12) (e13)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (unit1) (e12)) = (e12)) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> False). % 196.24/196.49 do 0 intro. intros zenon_H173 zenon_H104 zenon_H106 zenon_H131 zenon_H132 zenon_H133 zenon_H111 zenon_H13a zenon_H18b zenon_H14c zenon_H218 zenon_H11a zenon_H127 zenon_H172 zenon_H13b zenon_H10f zenon_H15b zenon_H105 zenon_H120 zenon_H121. % 196.24/196.49 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H110 | zenon_intro zenon_H174 ]. % 196.24/196.49 apply (zenon_L108_); trivial. % 196.24/196.49 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H12b | zenon_intro zenon_H175 ]. % 196.24/196.49 apply (zenon_L116_); trivial. % 196.24/196.49 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H140 | zenon_intro zenon_H15c ]. % 196.24/196.49 apply (zenon_L289_); trivial. % 196.24/196.49 apply (zenon_L133_); trivial. % 196.24/196.49 (* end of lemma zenon_L290_ *) % 196.24/196.49 assert (zenon_L291_ : (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((op1 (e12) (e13)) = (e11)) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e10)) = (e10)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (e12) (e11)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (unit1) (e12)) = (e12)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> False). % 196.24/196.49 do 0 intro. intros zenon_H192 zenon_H218 zenon_H133 zenon_H131 zenon_H104 zenon_H14b zenon_H14c zenon_H143 zenon_H132 zenon_H17e zenon_H1a4 zenon_H1a3 zenon_H121 zenon_H105 zenon_H15b zenon_H10f zenon_H172 zenon_H127 zenon_H11a zenon_H18e zenon_H13a zenon_H185 zenon_H186 zenon_H18b zenon_H111 zenon_H173 zenon_H120 zenon_H13b. % 196.24/196.49 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H106 | zenon_intro zenon_H193 ]. % 196.24/196.49 apply (zenon_L290_); trivial. % 196.24/196.49 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H17f | zenon_intro zenon_H194 ]. % 196.24/196.49 apply (zenon_L161_); trivial. % 196.24/196.49 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H187 | zenon_intro zenon_H152 ]. % 196.24/196.49 apply (zenon_L149_); trivial. % 196.24/196.49 apply (zenon_L124_); trivial. % 196.24/196.49 (* end of lemma zenon_L291_ *) % 196.24/196.49 assert (zenon_L292_ : (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((op1 (e11) (unit1)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((op1 (e11) (e12)) = (e11)) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> ((op1 (e12) (e13)) = (e11)) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e10)) = (e10)) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (unit1) (e12)) = (e12)) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> False). % 196.24/196.49 do 0 intro. intros zenon_H1a7 zenon_H197 zenon_H196 zenon_H198 zenon_H19c zenon_H1a3 zenon_H17e zenon_H104 zenon_H218 zenon_H192 zenon_H14b zenon_H14c zenon_H143 zenon_H132 zenon_H133 zenon_H131 zenon_H173 zenon_H111 zenon_H18b zenon_H186 zenon_H185 zenon_H13a zenon_H18e zenon_H11a zenon_H127 zenon_H172 zenon_H13b zenon_H10f zenon_H15b zenon_H105 zenon_H120 zenon_H121. % 196.24/196.49 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H1a0 | zenon_intro zenon_H1a8 ]. % 196.24/196.49 apply (zenon_L158_); trivial. % 196.24/196.49 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H1a4 | zenon_intro zenon_H1a9 ]. % 196.24/196.49 apply (zenon_L291_); trivial. % 196.24/196.49 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_H15a | zenon_intro zenon_H187 ]. % 196.24/196.49 apply (zenon_L165_); trivial. % 196.24/196.49 apply (zenon_L149_); trivial. % 196.24/196.49 (* end of lemma zenon_L292_ *) % 196.24/196.49 assert (zenon_L293_ : (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> ((op1 (e10) (e13)) = (e12)) -> ((op1 (unit1) (e12)) = (e12)) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e10)) = (e13)) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> ((op1 (e13) (e12)) = (e11)) -> False). % 196.24/196.49 do 0 intro. intros zenon_H127 zenon_H106 zenon_H105 zenon_H104 zenon_H111 zenon_H11a zenon_H110 zenon_H10f zenon_H121 zenon_H14c zenon_H1b1. % 196.24/196.49 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H102 | zenon_intro zenon_H128 ]. % 196.24/196.49 apply (zenon_L101_); trivial. % 196.24/196.49 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H10d | zenon_intro zenon_H129 ]. % 196.24/196.49 apply (zenon_L104_); trivial. % 196.24/196.49 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H118 | zenon_intro zenon_H11f ]. % 196.24/196.49 apply (zenon_L106_); trivial. % 196.24/196.49 apply (zenon_L170_); trivial. % 196.24/196.49 (* end of lemma zenon_L293_ *) % 196.24/196.49 assert (zenon_L294_ : (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> ((unit2) = (e20)) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (e21) (unit2)) = (e21)) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> ((op1 (unit1) (e10)) = (e10)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((h8 (e11)) = (e22)) -> ((h8 (e10)) = (op2 (e22) (e22))) -> ((op2 (e20) (e22)) = (e22)) -> (~((h8 (op1 (e10) (e11))) = (op2 (h8 (e10)) (h8 (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((op1 (e11) (e13)) = (e12)) -> ((op1 (unit1) (e12)) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (e12) (e13)) = (e11)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> ((op1 (e13) (e12)) = (e11)) -> False). % 196.24/196.49 do 0 intro. intros zenon_H127 zenon_H1e zenon_H54 zenon_H9e zenon_H40 zenon_H67 zenon_H29 zenon_Hcf zenon_H215 zenon_H132 zenon_H1ab zenon_H1fd zenon_Hf0 zenon_H1fc zenon_H1fa zenon_H178 zenon_H13a zenon_H20f zenon_H17f zenon_H105 zenon_H17e zenon_H218 zenon_H18b zenon_H121 zenon_H14c zenon_H1b1. % 196.24/196.49 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H102 | zenon_intro zenon_H128 ]. % 196.24/196.49 apply (zenon_L280_); trivial. % 196.24/196.49 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H10d | zenon_intro zenon_H129 ]. % 196.24/196.49 apply (zenon_L138_); trivial. % 196.24/196.49 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H118 | zenon_intro zenon_H11f ]. % 196.24/196.49 apply (zenon_L282_); trivial. % 196.24/196.49 apply (zenon_L170_); trivial. % 196.24/196.49 (* end of lemma zenon_L294_ *) % 196.24/196.49 assert (zenon_L295_ : (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> ((op1 (e12) (e13)) = (e12)) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e10)) = (e13)) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> ((op1 (e13) (e12)) = (e11)) -> False). % 196.24/196.49 do 0 intro. intros zenon_H127 zenon_H187 zenon_H186 zenon_H185 zenon_H111 zenon_H11a zenon_H110 zenon_H10f zenon_H121 zenon_H14c zenon_H1b1. % 196.24/196.49 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H102 | zenon_intro zenon_H128 ]. % 196.24/196.49 apply (zenon_L142_); trivial. % 196.24/196.49 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H10d | zenon_intro zenon_H129 ]. % 196.24/196.49 apply (zenon_L104_); trivial. % 196.24/196.49 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H118 | zenon_intro zenon_H11f ]. % 196.24/196.49 apply (zenon_L106_); trivial. % 196.24/196.49 apply (zenon_L170_); trivial. % 196.24/196.49 (* end of lemma zenon_L295_ *) % 196.24/196.49 assert (zenon_L296_ : (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((e10) = (e13))) -> ((e12) = (op1 (e13) (e11))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e10)) = (e13)) -> ((op1 (unit1) (e11)) = (e11)) -> ((unit2) = (e20)) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (e21) (unit2)) = (e21)) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((h8 (e11)) = (e22)) -> ((h8 (e10)) = (op2 (e22) (e22))) -> ((op2 (e20) (e22)) = (e22)) -> (~((h8 (op1 (e10) (e11))) = (op2 (h8 (e10)) (h8 (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((op1 (unit1) (e12)) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((op1 (e11) (unit1)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> ((op1 (unit1) (e10)) = (e10)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (e13) (unit1)) = (e13)) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> False). % 196.24/196.49 do 0 intro. intros zenon_H223 zenon_H21a zenon_H120 zenon_H186 zenon_H185 zenon_H11a zenon_H110 zenon_H14c zenon_H1e zenon_H54 zenon_H9e zenon_H40 zenon_H67 zenon_H29 zenon_Hcf zenon_H215 zenon_H1ab zenon_H1fd zenon_Hf0 zenon_H1fc zenon_H1fa zenon_H178 zenon_H20f zenon_H105 zenon_H17e zenon_H18b zenon_H104 zenon_H192 zenon_H14b zenon_H1a7 zenon_H197 zenon_H196 zenon_H19c zenon_H1a3 zenon_H143 zenon_H173 zenon_H18e zenon_H172 zenon_H15b zenon_H1b5 zenon_H1f7 zenon_H1f4 zenon_H224 zenon_H127 zenon_H111 zenon_H133 zenon_H132 zenon_H131 zenon_H121 zenon_H10f zenon_H13a zenon_H13b. % 196.24/196.49 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H20e | zenon_intro zenon_H225 ]. % 196.35/196.50 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H226 ]. % 196.35/196.50 apply (zenon_L269_); trivial. % 196.35/196.50 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_H1f8 | zenon_intro zenon_H227 ]. % 196.35/196.50 apply (zenon_L274_); trivial. % 196.35/196.50 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H14d | zenon_intro zenon_H218 ]. % 196.35/196.50 apply (zenon_L281_); trivial. % 196.35/196.50 apply (zenon_L283_); trivial. % 196.35/196.50 apply (zenon_or_s _ _ zenon_H225); [ zenon_intro zenon_H162 | zenon_intro zenon_H228 ]. % 196.35/196.50 apply (zenon_L284_); trivial. % 196.35/196.50 apply (zenon_or_s _ _ zenon_H228); [ zenon_intro zenon_H21d | zenon_intro zenon_H12b ]. % 196.35/196.50 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H226 ]. % 196.35/196.50 apply (zenon_L269_); trivial. % 196.35/196.50 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_H1f8 | zenon_intro zenon_H227 ]. % 196.35/196.50 apply (zenon_L274_); trivial. % 196.35/196.50 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H14d | zenon_intro zenon_H218 ]. % 196.35/196.50 apply (zenon_L281_); trivial. % 196.35/196.50 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H177 | zenon_intro zenon_H1b6 ]. % 196.35/196.50 apply (zenon_L288_); trivial. % 196.35/196.50 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H198 | zenon_intro zenon_H1b7 ]. % 196.35/196.50 apply (zenon_L292_); trivial. % 196.35/196.50 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H14d | zenon_intro zenon_H1b1 ]. % 196.35/196.50 apply (zenon_L281_); trivial. % 196.35/196.50 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H106 | zenon_intro zenon_H193 ]. % 196.35/196.50 apply (zenon_L293_); trivial. % 196.35/196.50 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H17f | zenon_intro zenon_H194 ]. % 196.35/196.50 apply (zenon_L294_); trivial. % 196.35/196.50 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H187 | zenon_intro zenon_H152 ]. % 196.35/196.50 apply (zenon_L295_); trivial. % 196.35/196.50 apply (zenon_L124_); trivial. % 196.35/196.50 apply (zenon_L116_); trivial. % 196.35/196.50 (* end of lemma zenon_L296_ *) % 196.35/196.50 assert (zenon_L297_ : (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((op1 (e11) (unit1)) = (e11)) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((h8 (op1 (e10) (e11))) = (op2 (h8 (e10)) (h8 (e11))))) -> ((op2 (e20) (e22)) = (e22)) -> ((h8 (e10)) = (op2 (e22) (e22))) -> ((h8 (e11)) = (e22)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> ((op2 (e21) (unit2)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (e23) (unit2)) = (e23)) -> ((unit2) = (e20)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((e10) = (e13))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (e11) (e13)) = (e12)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (unit1) (e13)) = (e13)) -> ((op1 (unit1) (e10)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (unit1) (e12)) = (e12)) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> False). % 196.35/196.50 do 0 intro. intros zenon_H131 zenon_H133 zenon_H224 zenon_H1f4 zenon_H1f7 zenon_H1b5 zenon_H18e zenon_H173 zenon_H1a3 zenon_H19c zenon_H196 zenon_H197 zenon_H1a7 zenon_H192 zenon_H104 zenon_H18b zenon_H20f zenon_H178 zenon_H1fa zenon_H1fc zenon_Hf0 zenon_H1fd zenon_H1ab zenon_H215 zenon_Hcf zenon_H29 zenon_H67 zenon_H40 zenon_H9e zenon_H54 zenon_H1e zenon_H185 zenon_H186 zenon_H21a zenon_H223 zenon_H17e zenon_H17f zenon_H111 zenon_H13a zenon_H132 zenon_H143 zenon_H14c zenon_H14b zenon_H11a zenon_H127 zenon_H172 zenon_H13b zenon_H10f zenon_H15b zenon_H105 zenon_H120 zenon_H121. % 196.35/196.50 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H110 | zenon_intro zenon_H174 ]. % 196.35/196.50 apply (zenon_L296_); trivial. % 196.35/196.50 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H12b | zenon_intro zenon_H175 ]. % 196.35/196.50 apply (zenon_L139_); trivial. % 196.35/196.50 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H140 | zenon_intro zenon_H15c ]. % 196.35/196.50 apply (zenon_L130_); trivial. % 196.35/196.50 apply (zenon_L133_); trivial. % 196.35/196.50 (* end of lemma zenon_L297_ *) % 196.35/196.50 assert (zenon_L298_ : (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e10)) = (e10)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((e10) = (e13))) -> ((unit2) = (e20)) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (e21) (unit2)) = (e21)) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((h8 (e11)) = (e22)) -> ((h8 (e10)) = (op2 (e22) (e22))) -> ((op2 (e20) (e22)) = (e22)) -> (~((h8 (op1 (e10) (e11))) = (op2 (h8 (e10)) (h8 (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((op1 (e11) (unit1)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (unit1) (e12)) = (e12)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> False). % 196.35/196.50 do 0 intro. intros zenon_H14b zenon_H14c zenon_H143 zenon_H132 zenon_H17e zenon_H223 zenon_H21a zenon_H1e zenon_H54 zenon_H9e zenon_H40 zenon_H67 zenon_H29 zenon_Hcf zenon_H215 zenon_H1ab zenon_H1fd zenon_Hf0 zenon_H1fc zenon_H1fa zenon_H178 zenon_H20f zenon_H104 zenon_H192 zenon_H1a7 zenon_H197 zenon_H196 zenon_H19c zenon_H1a3 zenon_H1b5 zenon_H1f7 zenon_H1f4 zenon_H224 zenon_H133 zenon_H131 zenon_H121 zenon_H105 zenon_H15b zenon_H10f zenon_H172 zenon_H127 zenon_H11a zenon_H18e zenon_H13a zenon_H185 zenon_H186 zenon_H18b zenon_H111 zenon_H173 zenon_H120 zenon_H13b. % 196.35/196.50 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H106 | zenon_intro zenon_H193 ]. % 196.35/196.50 apply (zenon_L134_); trivial. % 196.35/196.50 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H17f | zenon_intro zenon_H194 ]. % 196.35/196.50 apply (zenon_L297_); trivial. % 196.35/196.50 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H187 | zenon_intro zenon_H152 ]. % 196.35/196.50 apply (zenon_L149_); trivial. % 196.35/196.50 apply (zenon_L124_); trivial. % 196.35/196.50 (* end of lemma zenon_L298_ *) % 196.35/196.50 assert (zenon_L299_ : (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e13) (e11))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (unit1) (e12)) = (e12)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((op1 (e11) (unit1)) = (e11)) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((h8 (op1 (e10) (e11))) = (op2 (h8 (e10)) (h8 (e11))))) -> ((op2 (e20) (e22)) = (e22)) -> ((h8 (e10)) = (op2 (e22) (e22))) -> ((h8 (e11)) = (e22)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> ((op2 (e21) (unit2)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (e23) (unit2)) = (e23)) -> (~((e10) = (e13))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (unit1) (e10)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((e20) = (op2 (e21) (e21))) -> ((op2 (unit2) (e20)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e20) (e23)) = (e23)) -> ((op2 (unit2) (e23)) = (e23)) -> ((op2 (unit2) (e22)) = (e22)) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> False). % 196.35/196.50 do 0 intro. intros zenon_H49 zenon_H13b zenon_H120 zenon_H173 zenon_H111 zenon_H18b zenon_H186 zenon_H185 zenon_H13a zenon_H18e zenon_H11a zenon_H127 zenon_H172 zenon_H10f zenon_H15b zenon_H105 zenon_H121 zenon_H131 zenon_H133 zenon_H224 zenon_H1f4 zenon_H1f7 zenon_H1b5 zenon_H1a3 zenon_H19c zenon_H196 zenon_H197 zenon_H1a7 zenon_H192 zenon_H104 zenon_H20f zenon_H178 zenon_H1fa zenon_H1fc zenon_Hf0 zenon_H1fd zenon_H1ab zenon_H215 zenon_Hcf zenon_H67 zenon_H9e zenon_H54 zenon_H21a zenon_H223 zenon_H17e zenon_H132 zenon_H143 zenon_H14c zenon_H14b zenon_H2c zenon_H2a zenon_H29 zenon_H1d1 zenon_H1d0 zenon_H20 zenon_H37 zenon_H40 zenon_H41. % 196.35/196.50 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H1e | zenon_intro zenon_H4a ]. % 196.35/196.50 apply (zenon_L298_); trivial. % 196.35/196.50 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2b | zenon_intro zenon_H4b ]. % 196.35/196.50 apply (zenon_L5_); trivial. % 196.35/196.50 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H3f ]. % 196.35/196.50 apply (zenon_L203_); trivial. % 196.35/196.50 apply (zenon_L9_); trivial. % 196.35/196.50 (* end of lemma zenon_L299_ *) % 196.35/196.50 assert (zenon_L300_ : (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> ((op2 (e21) (e23)) = (e23)) -> ((op2 (unit2) (e23)) = (e23)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e20)) = (e23)) -> ((op2 (e23) (unit2)) = (e23)) -> ((op2 (e22) (e22)) = (e21)) -> ((op2 (unit2) (e21)) = (e21)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e22)) = (e22)) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> False). % 196.35/196.50 do 0 intro. intros zenon_H49 zenon_H1d5 zenon_H20 zenon_H1d4 zenon_H56 zenon_H55 zenon_H54 zenon_H78 zenon_H77 zenon_H76 zenon_H37 zenon_H40 zenon_H41. % 196.35/196.50 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H1e | zenon_intro zenon_H4a ]. % 196.35/196.50 apply (zenon_L205_); trivial. % 196.35/196.50 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2b | zenon_intro zenon_H4b ]. % 196.35/196.50 apply (zenon_L14_); trivial. % 196.35/196.50 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H3f ]. % 196.35/196.50 apply (zenon_L30_); trivial. % 196.35/196.50 apply (zenon_L9_); trivial. % 196.35/196.50 (* end of lemma zenon_L300_ *) % 196.35/196.50 assert (zenon_L301_ : (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e10)) = (e10)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((e10) = (e13))) -> ((op2 (e21) (unit2)) = (e21)) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((h8 (e11)) = (e22)) -> ((h8 (e10)) = (op2 (e22) (e22))) -> ((op2 (e20) (e22)) = (e22)) -> (~((h8 (op1 (e10) (e11))) = (op2 (h8 (e10)) (h8 (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((op1 (e11) (unit1)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (unit1) (e12)) = (e12)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e21)) = (e21)) -> ((op2 (e22) (e22)) = (e21)) -> ((op2 (e23) (e20)) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e22) (e20)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (unit2) (e20)) = (e20)) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (unit2) (e23)) = (e23)) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((op2 (unit2) (e22)) = (e22)) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> False). % 196.35/196.50 do 0 intro. intros zenon_H1d9 zenon_H14b zenon_H14c zenon_H143 zenon_H132 zenon_H17e zenon_H223 zenon_H21a zenon_Hcf zenon_H215 zenon_H1ab zenon_H1fd zenon_Hf0 zenon_H1fc zenon_H1fa zenon_H178 zenon_H20f zenon_H104 zenon_H192 zenon_H1a7 zenon_H197 zenon_H196 zenon_H19c zenon_H1a3 zenon_H1b5 zenon_H1f7 zenon_H1f4 zenon_H224 zenon_H133 zenon_H131 zenon_H121 zenon_H105 zenon_H15b zenon_H10f zenon_H172 zenon_H127 zenon_H11a zenon_H18e zenon_H13a zenon_H185 zenon_H186 zenon_H18b zenon_H111 zenon_H173 zenon_H120 zenon_H13b zenon_H76 zenon_H77 zenon_H78 zenon_H55 zenon_H56 zenon_H1d4 zenon_H38 zenon_H39 zenon_H29 zenon_H2a zenon_H2c zenon_H1d1 zenon_H20 zenon_H49 zenon_H9e zenon_H67 zenon_H54 zenon_H86 zenon_H37 zenon_H40 zenon_H41. % 196.35/196.50 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1da ]. % 196.35/196.50 apply (zenon_L299_); trivial. % 196.35/196.50 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H1db ]. % 196.35/196.50 apply (zenon_L300_); trivial. % 196.35/196.50 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1d7 | zenon_intro zenon_H87 ]. % 196.35/196.50 apply (zenon_L209_); trivial. % 196.35/196.50 apply (zenon_L40_); trivial. % 196.35/196.50 (* end of lemma zenon_L301_ *) % 196.35/196.50 assert (zenon_L302_ : (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> ((op2 (e23) (e20)) = (e23)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e13) (e11))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (unit1) (e12)) = (e12)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((op1 (e11) (unit1)) = (e11)) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((h8 (op1 (e10) (e11))) = (op2 (h8 (e10)) (h8 (e11))))) -> ((op2 (e20) (e22)) = (e22)) -> ((h8 (e10)) = (op2 (e22) (e22))) -> ((h8 (e11)) = (e22)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> ((op2 (e21) (unit2)) = (e21)) -> (~((e10) = (e13))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (unit1) (e10)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (e21) (e21))) -> ((op2 (unit2) (e20)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (e22) (e20)) = (e22)) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> ((op2 (unit2) (e21)) = (e21)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> ((op2 (e22) (e21)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (unit2) (e22)) = (e22)) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((op2 (unit2) (e23)) = (e23)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e22) (unit2)) = (e22)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> False). % 196.35/196.50 do 0 intro. intros zenon_Hdf zenon_Hc1 zenon_Hce zenon_Hd4 zenon_H55 zenon_H13b zenon_H120 zenon_H173 zenon_H111 zenon_H18b zenon_H186 zenon_H185 zenon_H13a zenon_H18e zenon_H11a zenon_H127 zenon_H172 zenon_H10f zenon_H15b zenon_H105 zenon_H121 zenon_H131 zenon_H133 zenon_H224 zenon_H1f4 zenon_H1f7 zenon_H1b5 zenon_H1a3 zenon_H19c zenon_H196 zenon_H197 zenon_H1a7 zenon_H192 zenon_H104 zenon_H20f zenon_H178 zenon_H1fa zenon_H1fc zenon_Hf0 zenon_H1fd zenon_H1ab zenon_H215 zenon_Hcf zenon_H21a zenon_H223 zenon_H17e zenon_H132 zenon_H143 zenon_H14c zenon_H14b zenon_H1d1 zenon_H2c zenon_H2a zenon_H29 zenon_H39 zenon_H38 zenon_Hba zenon_H1d4 zenon_Ha3 zenon_Ha9 zenon_H77 zenon_H76 zenon_H4d zenon_Hb6 zenon_H1ce zenon_H1cd zenon_H1d9 zenon_H41 zenon_H37 zenon_H86 zenon_H54 zenon_H9e zenon_H49 zenon_H5d zenon_Hb5 zenon_H20 zenon_Haf zenon_Ha4 zenon_Hb3 zenon_H56 zenon_H9f zenon_H40 zenon_H67. % 196.35/196.50 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_Hc0 | zenon_intro zenon_He0 ]. % 196.35/196.50 apply (zenon_L218_); trivial. % 196.35/196.50 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hd0 | zenon_intro zenon_He1 ]. % 196.35/196.50 apply (zenon_L78_); trivial. % 196.35/196.50 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_H78 | zenon_intro zenon_Hdb ]. % 196.35/196.50 apply (zenon_L301_); trivial. % 196.35/196.50 apply (zenon_L211_); trivial. % 196.35/196.50 (* end of lemma zenon_L302_ *) % 196.35/196.50 assert (zenon_L303_ : (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e13) (e11))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (unit1) (e12)) = (e12)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((op1 (e11) (unit1)) = (e11)) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((h8 (op1 (e10) (e11))) = (op2 (h8 (e10)) (h8 (e11))))) -> ((op2 (e20) (e22)) = (e22)) -> ((h8 (e10)) = (op2 (e22) (e22))) -> ((h8 (e11)) = (e22)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> ((op2 (e21) (unit2)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((e10) = (e13))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (unit1) (e10)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e20)) = (e23)) -> ((op2 (e23) (unit2)) = (e23)) -> ((op2 (e22) (e23)) = (e21)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (unit2) (e21)) = (e21)) -> ((op2 (e23) (e22)) = (e21)) -> False). % 196.35/196.50 do 0 intro. intros zenon_H49 zenon_H13b zenon_H120 zenon_H173 zenon_H111 zenon_H18b zenon_H186 zenon_H185 zenon_H13a zenon_H18e zenon_H11a zenon_H127 zenon_H172 zenon_H10f zenon_H15b zenon_H105 zenon_H121 zenon_H131 zenon_H133 zenon_H224 zenon_H1f4 zenon_H1f7 zenon_H1b5 zenon_H1a3 zenon_H19c zenon_H196 zenon_H197 zenon_H1a7 zenon_H192 zenon_H104 zenon_H20f zenon_H178 zenon_H1fa zenon_H1fc zenon_Hf0 zenon_H1fd zenon_H1ab zenon_H215 zenon_Hcf zenon_H29 zenon_H67 zenon_H40 zenon_H9e zenon_H21a zenon_H223 zenon_H17e zenon_H132 zenon_H143 zenon_H14c zenon_H14b zenon_H56 zenon_H55 zenon_H54 zenon_H1dc zenon_Hb3 zenon_H41 zenon_H77 zenon_Hdb. % 196.35/196.50 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H1e | zenon_intro zenon_H4a ]. % 196.35/196.50 apply (zenon_L298_); trivial. % 196.35/196.50 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2b | zenon_intro zenon_H4b ]. % 196.35/196.50 apply (zenon_L14_); trivial. % 196.35/196.50 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H3f ]. % 196.35/196.50 apply (zenon_L212_); trivial. % 196.35/196.50 apply (zenon_L82_); trivial. % 196.35/196.50 (* end of lemma zenon_L303_ *) % 196.35/196.50 assert (zenon_L304_ : (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> ((op2 (e22) (e21)) = (e23)) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((op2 (unit2) (e22)) = (e22)) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((op2 (unit2) (e23)) = (e23)) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (e21) (e21))) -> ((op2 (unit2) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (e22) (e20)) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e13) (e11))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (unit1) (e12)) = (e12)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((op1 (e11) (unit1)) = (e11)) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((h8 (op1 (e10) (e11))) = (op2 (h8 (e10)) (h8 (e11))))) -> ((op2 (e20) (e22)) = (e22)) -> ((h8 (e10)) = (op2 (e22) (e22))) -> ((h8 (e11)) = (e22)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> ((op2 (e21) (unit2)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((e10) = (e13))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (unit1) (e10)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e20)) = (e23)) -> ((op2 (e23) (unit2)) = (e23)) -> ((op2 (e22) (e23)) = (e21)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (unit2) (e21)) = (e21)) -> False). % 196.35/196.50 do 0 intro. intros zenon_Hdf zenon_Hc7 zenon_Hc1 zenon_H9f zenon_H5d zenon_Hce zenon_H37 zenon_H86 zenon_H20 zenon_H1d1 zenon_H2c zenon_H2a zenon_H39 zenon_H38 zenon_H1d4 zenon_H76 zenon_H1d9 zenon_H49 zenon_H13b zenon_H120 zenon_H173 zenon_H111 zenon_H18b zenon_H186 zenon_H185 zenon_H13a zenon_H18e zenon_H11a zenon_H127 zenon_H172 zenon_H10f zenon_H15b zenon_H105 zenon_H121 zenon_H131 zenon_H133 zenon_H224 zenon_H1f4 zenon_H1f7 zenon_H1b5 zenon_H1a3 zenon_H19c zenon_H196 zenon_H197 zenon_H1a7 zenon_H192 zenon_H104 zenon_H20f zenon_H178 zenon_H1fa zenon_H1fc zenon_Hf0 zenon_H1fd zenon_H1ab zenon_H215 zenon_Hcf zenon_H29 zenon_H67 zenon_H40 zenon_H9e zenon_H21a zenon_H223 zenon_H17e zenon_H132 zenon_H143 zenon_H14c zenon_H14b zenon_H56 zenon_H55 zenon_H54 zenon_H1dc zenon_Hb3 zenon_H41 zenon_H77. % 196.35/196.50 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_Hc0 | zenon_intro zenon_He0 ]. % 196.35/196.50 apply (zenon_L71_); trivial. % 196.35/196.50 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hd0 | zenon_intro zenon_He1 ]. % 196.35/196.50 apply (zenon_L74_); trivial. % 196.35/196.50 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_H78 | zenon_intro zenon_Hdb ]. % 196.35/196.50 apply (zenon_L301_); trivial. % 196.35/196.50 apply (zenon_L303_); trivial. % 196.35/196.50 (* end of lemma zenon_L304_ *) % 196.35/196.50 assert (zenon_L305_ : (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e20)) = (e23)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e23) (unit2)) = (e23)) -> ((op2 (unit2) (e23)) = (e23)) -> ((op2 (e23) (e21)) = (e23)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> False). % 196.35/196.50 do 0 intro. intros zenon_H49 zenon_H56 zenon_H55 zenon_H41 zenon_H54 zenon_H20 zenon_H61 zenon_H67. % 196.35/196.50 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H1e | zenon_intro zenon_H4a ]. % 196.35/196.50 apply (zenon_L19_); trivial. % 196.35/196.50 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2b | zenon_intro zenon_H4b ]. % 196.35/196.50 apply (zenon_L14_); trivial. % 196.35/196.50 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H3f ]. % 196.35/196.50 apply (zenon_L20_); trivial. % 196.35/196.50 apply (zenon_L22_); trivial. % 196.35/196.50 (* end of lemma zenon_L305_ *) % 196.35/196.50 assert (zenon_L306_ : (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((e20) = (e23))) -> ((op2 (unit2) (e21)) = (e21)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e10)) = (e10)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((e10) = (e13))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (e21) (unit2)) = (e21)) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((h8 (e11)) = (e22)) -> ((h8 (e10)) = (op2 (e22) (e22))) -> ((op2 (e20) (e22)) = (e22)) -> (~((h8 (op1 (e10) (e11))) = (op2 (h8 (e10)) (h8 (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((op1 (e11) (unit1)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (unit1) (e12)) = (e12)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e22) (e20)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e20)) = (e20)) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((op2 (unit2) (e22)) = (e22)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e22) (unit2)) = (e22)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e20)) = (e23)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e23) (unit2)) = (e23)) -> ((op2 (unit2) (e23)) = (e23)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> False). % 196.35/196.50 do 0 intro. intros zenon_H1ca zenon_H22 zenon_Hbd zenon_H77 zenon_Hb3 zenon_H14b zenon_H14c zenon_H143 zenon_H132 zenon_H17e zenon_H223 zenon_H21a zenon_H9e zenon_H40 zenon_H29 zenon_Hcf zenon_H215 zenon_H1ab zenon_H1fd zenon_Hf0 zenon_H1fc zenon_H1fa zenon_H178 zenon_H20f zenon_H104 zenon_H192 zenon_H1a7 zenon_H197 zenon_H196 zenon_H19c zenon_H1a3 zenon_H1b5 zenon_H1f7 zenon_H1f4 zenon_H224 zenon_H133 zenon_H131 zenon_H121 zenon_H105 zenon_H15b zenon_H10f zenon_H172 zenon_H127 zenon_H11a zenon_H18e zenon_H13a zenon_H185 zenon_H186 zenon_H18b zenon_H111 zenon_H173 zenon_H120 zenon_H13b zenon_H1d9 zenon_H76 zenon_H1d4 zenon_H38 zenon_H39 zenon_H2a zenon_H2c zenon_H1d1 zenon_H86 zenon_H37 zenon_Hce zenon_H5d zenon_H9f zenon_Hc1 zenon_Hdf zenon_Hd4 zenon_Hba zenon_Ha3 zenon_Ha9 zenon_H4d zenon_Hb6 zenon_H1cd zenon_Hb5 zenon_Haf zenon_Ha4 zenon_Hd8 zenon_H1de zenon_H49 zenon_H56 zenon_H55 zenon_H41 zenon_H54 zenon_H20 zenon_H67. % 196.35/196.50 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H21 | zenon_intro zenon_H1cb ]. % 196.35/196.50 apply (zenon_L10_); trivial. % 196.35/196.50 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H8d | zenon_intro zenon_H1cc ]. % 196.35/196.50 apply (zenon_L65_); trivial. % 196.35/196.50 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H61 ]. % 196.35/196.50 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_Hd9 | zenon_intro zenon_H1df ]. % 196.35/196.50 apply (zenon_L264_); trivial. % 196.35/196.50 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H1ce | zenon_intro zenon_H1e0 ]. % 196.35/196.50 apply (zenon_L302_); trivial. % 196.35/196.50 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H78 | zenon_intro zenon_H1dc ]. % 196.35/196.50 apply (zenon_L301_); trivial. % 196.35/196.50 apply (zenon_L304_); trivial. % 196.35/196.50 apply (zenon_L305_); trivial. % 196.35/196.50 (* end of lemma zenon_L306_ *) % 196.35/196.50 assert (zenon_L307_ : (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e22) (unit2)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (e21) (e21))) -> ((op2 (e22) (e20)) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e13) (e11))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (unit1) (e12)) = (e12)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((op1 (e11) (unit1)) = (e11)) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((h8 (op1 (e10) (e11))) = (op2 (h8 (e10)) (h8 (e11))))) -> ((op2 (e20) (e22)) = (e22)) -> ((h8 (e10)) = (op2 (e22) (e22))) -> ((h8 (e11)) = (e22)) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> ((op2 (e21) (unit2)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((e10) = (e13))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (unit1) (e10)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((e20) = (e23))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> ((op2 (e21) (e23)) = (e22)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (unit2) (e23)) = (e23)) -> ((op2 (unit2) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e21)) = (e21)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((op2 (unit2) (e22)) = (e22)) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> False). % 196.35/196.50 do 0 intro. intros zenon_H1de zenon_Hd8 zenon_Ha4 zenon_Haf zenon_Hb5 zenon_H1cd zenon_Hb6 zenon_H4d zenon_Ha3 zenon_Hba zenon_Hd4 zenon_Hdf zenon_Hc1 zenon_H9f zenon_Hce zenon_H1d1 zenon_H2c zenon_H38 zenon_H1d4 zenon_H1d9 zenon_H13b zenon_H120 zenon_H173 zenon_H111 zenon_H18b zenon_H186 zenon_H185 zenon_H13a zenon_H18e zenon_H11a zenon_H127 zenon_H172 zenon_H10f zenon_H15b zenon_H105 zenon_H121 zenon_H131 zenon_H133 zenon_H224 zenon_H1f4 zenon_H1f7 zenon_H1b5 zenon_H1a3 zenon_H19c zenon_H196 zenon_H197 zenon_H1a7 zenon_H192 zenon_H104 zenon_H20f zenon_H178 zenon_H1fa zenon_H1fc zenon_Hf0 zenon_H1fd zenon_H1ab zenon_H215 zenon_Hcf zenon_H29 zenon_H21a zenon_H223 zenon_H17e zenon_H132 zenon_H143 zenon_H14c zenon_H14b zenon_Hb3 zenon_Hbd zenon_H22 zenon_H1ca zenon_Ha9 zenon_Haa zenon_H56 zenon_H20 zenon_H2a zenon_H39 zenon_H77 zenon_H76 zenon_H5d zenon_H49 zenon_H9e zenon_H67 zenon_H54 zenon_H86 zenon_H37 zenon_H40 zenon_H41. % 196.35/196.50 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H55 | zenon_intro zenon_Ha0 ]. % 196.35/196.50 apply (zenon_L306_); trivial. % 196.35/196.50 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_H61 | zenon_intro zenon_Ha1 ]. % 196.35/196.50 apply (zenon_L47_); trivial. % 196.35/196.50 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H6c | zenon_intro zenon_H87 ]. % 196.35/196.50 apply (zenon_L37_); trivial. % 196.35/196.50 apply (zenon_L40_); trivial. % 196.35/196.50 (* end of lemma zenon_L307_ *) % 196.35/196.50 assert (zenon_L308_ : (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e21)) = (e21)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e20)) = (e20)) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((e20) = (e23))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e10)) = (e10)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((e10) = (e13))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (e21) (unit2)) = (e21)) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((h8 (e11)) = (e22)) -> ((h8 (e10)) = (op2 (e22) (e22))) -> ((op2 (e20) (e22)) = (e22)) -> (~((h8 (op1 (e10) (e11))) = (op2 (h8 (e10)) (h8 (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((op1 (e11) (unit1)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (unit1) (e12)) = (e12)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e22) (e20)) = (e22)) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (unit2) (e22)) = (e22)) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((op2 (unit2) (e23)) = (e23)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e22) (unit2)) = (e22)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> False). % 196.35/196.50 do 0 intro. intros zenon_H76 zenon_H77 zenon_H39 zenon_H2a zenon_Ha9 zenon_H1ca zenon_H22 zenon_Hbd zenon_H14b zenon_H14c zenon_H143 zenon_H132 zenon_H17e zenon_H223 zenon_H21a zenon_H29 zenon_Hcf zenon_H215 zenon_H1ab zenon_H1fd zenon_Hf0 zenon_H1fc zenon_H1fa zenon_H178 zenon_H20f zenon_H104 zenon_H192 zenon_H1a7 zenon_H197 zenon_H196 zenon_H19c zenon_H1a3 zenon_H1b5 zenon_H1f7 zenon_H1f4 zenon_H224 zenon_H133 zenon_H131 zenon_H121 zenon_H105 zenon_H15b zenon_H10f zenon_H172 zenon_H127 zenon_H11a zenon_H18e zenon_H13a zenon_H185 zenon_H186 zenon_H18b zenon_H111 zenon_H173 zenon_H120 zenon_H13b zenon_H1d9 zenon_H1d4 zenon_H38 zenon_H2c zenon_H1d1 zenon_Hce zenon_Hc1 zenon_Hdf zenon_Hd4 zenon_Hba zenon_Ha3 zenon_H4d zenon_Hb6 zenon_H1cd zenon_Hd8 zenon_H1de zenon_H41 zenon_H37 zenon_H86 zenon_H54 zenon_H9e zenon_H49 zenon_H5d zenon_Hb5 zenon_H20 zenon_Haf zenon_Ha4 zenon_Hb3 zenon_H56 zenon_H9f zenon_H40 zenon_H67. % 196.35/196.50 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_H4e | zenon_intro zenon_Hb7 ]. % 196.35/196.50 apply (zenon_L41_); trivial. % 196.35/196.50 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_Haa | zenon_intro zenon_Hb8 ]. % 196.35/196.50 apply (zenon_L307_); trivial. % 196.35/196.50 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H7d ]. % 196.35/196.50 apply (zenon_L55_); trivial. % 196.35/196.50 apply (zenon_L31_); trivial. % 196.35/196.50 (* end of lemma zenon_L308_ *) % 196.35/196.50 assert (zenon_L309_ : (((op2 (e20) (e20)) = (e22))\/(((op2 (e20) (e21)) = (e22))\/(((op2 (e20) (e22)) = (e22))\/((op2 (e20) (e23)) = (e22))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e22) (unit2)) = (e22)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((e20) = (e23))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e10)) = (e10)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((e10) = (e13))) -> ((op2 (e21) (unit2)) = (e21)) -> (((op1 (e10) (e11)) = (e10))\/(((op1 (e10) (e11)) = (e11))\/(((op1 (e10) (e11)) = (e12))\/((op1 (e10) (e11)) = (e13))))) -> (~((op1 (e10) (e10)) = (op1 (e10) (e11)))) -> ((h8 (e11)) = (e22)) -> ((h8 (e10)) = (op2 (e22) (e22))) -> (~((h8 (op1 (e10) (e11))) = (op2 (h8 (e10)) (h8 (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((op1 (e11) (unit1)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (unit1) (e12)) = (e12)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (unit2) (e23)) = (e23)) -> ((op2 (unit2) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e21)) = (e21)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((op2 (unit2) (e22)) = (e22)) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> False). % 196.35/196.50 do 0 intro. intros zenon_H229 zenon_H1e6 zenon_Hb5 zenon_Haf zenon_Ha4 zenon_Hb3 zenon_Hb6 zenon_Ha9 zenon_Ha3 zenon_H1ca zenon_H22 zenon_Hbd zenon_H14b zenon_H14c zenon_H143 zenon_H132 zenon_H17e zenon_H223 zenon_H21a zenon_Hcf zenon_H215 zenon_H1ab zenon_H1fd zenon_Hf0 zenon_H1fa zenon_H178 zenon_H20f zenon_H104 zenon_H192 zenon_H1a7 zenon_H197 zenon_H196 zenon_H19c zenon_H1a3 zenon_H1b5 zenon_H1f7 zenon_H1f4 zenon_H224 zenon_H133 zenon_H131 zenon_H121 zenon_H105 zenon_H15b zenon_H10f zenon_H172 zenon_H127 zenon_H11a zenon_H18e zenon_H13a zenon_H185 zenon_H186 zenon_H18b zenon_H111 zenon_H173 zenon_H120 zenon_H13b zenon_H1d9 zenon_H1d4 zenon_H1d1 zenon_Hce zenon_Hc1 zenon_Hdf zenon_Hd4 zenon_Hba zenon_H1cd zenon_Hd8 zenon_H1de zenon_H9f zenon_H4d zenon_H29 zenon_H2c zenon_H56 zenon_H20 zenon_H2a zenon_H39 zenon_H77 zenon_H76 zenon_H5d zenon_H49 zenon_H9e zenon_H67 zenon_H54 zenon_H86 zenon_H37 zenon_H40 zenon_H41. % 196.35/196.50 apply (zenon_or_s _ _ zenon_H229); [ zenon_intro zenon_H82 | zenon_intro zenon_H22a ]. % 196.35/196.50 apply (zenon_L260_); trivial. % 196.35/196.50 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H22b ]. % 196.35/196.50 apply (zenon_L262_); trivial. % 196.35/196.50 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H1fc | zenon_intro zenon_H4e ]. % 196.35/196.50 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H38 | zenon_intro zenon_Hbb ]. % 196.35/196.50 apply (zenon_L308_); trivial. % 196.35/196.50 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_Ha5 | zenon_intro zenon_Hbc ]. % 196.35/196.50 apply (zenon_L56_); trivial. % 196.35/196.50 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H85 | zenon_intro zenon_Hb0 ]. % 196.35/196.50 apply (zenon_L63_); trivial. % 196.35/196.50 apply (zenon_L55_); trivial. % 196.35/196.50 apply (zenon_L41_); trivial. % 196.35/196.50 (* end of lemma zenon_L309_ *) % 196.35/196.50 assert (zenon_L310_ : ((op2 (unit2) (e23)) = (e23)) -> ((unit2) = (e21)) -> ((op2 (e21) (e20)) = (e23)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> False). % 196.35/196.50 do 0 intro. intros zenon_H20 zenon_H2b zenon_H22c zenon_H22d. % 196.35/196.50 elim (classic ((op2 (e21) (e23)) = (op2 (e21) (e23)))); [ zenon_intro zenon_H22e | zenon_intro zenon_H22f ]. % 196.35/196.50 cut (((op2 (e21) (e23)) = (op2 (e21) (e23))) = ((op2 (e21) (e20)) = (op2 (e21) (e23)))). % 196.35/196.50 intro zenon_D_pnotp. % 196.35/196.50 apply zenon_H22d. % 196.35/196.50 rewrite <- zenon_D_pnotp. % 196.35/196.50 exact zenon_H22e. % 196.35/196.50 cut (((op2 (e21) (e23)) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H22f]. % 196.35/196.50 cut (((op2 (e21) (e23)) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H230]. % 196.35/196.50 congruence. % 196.35/196.50 cut (((op2 (unit2) (e23)) = (e23)) = ((op2 (e21) (e23)) = (op2 (e21) (e20)))). % 196.35/196.50 intro zenon_D_pnotp. % 196.35/196.50 apply zenon_H230. % 196.35/196.50 rewrite <- zenon_D_pnotp. % 196.35/196.50 exact zenon_H20. % 196.35/196.50 cut (((e23) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H231]. % 196.35/196.50 cut (((op2 (unit2) (e23)) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H232]. % 196.35/196.50 congruence. % 196.35/196.50 elim (classic ((op2 (e21) (e23)) = (op2 (e21) (e23)))); [ zenon_intro zenon_H22e | zenon_intro zenon_H22f ]. % 196.35/196.50 cut (((op2 (e21) (e23)) = (op2 (e21) (e23))) = ((op2 (unit2) (e23)) = (op2 (e21) (e23)))). % 196.35/196.50 intro zenon_D_pnotp. % 196.35/196.50 apply zenon_H232. % 196.35/196.50 rewrite <- zenon_D_pnotp. % 196.35/196.50 exact zenon_H22e. % 196.35/196.50 cut (((op2 (e21) (e23)) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H22f]. % 196.35/196.50 cut (((op2 (e21) (e23)) = (op2 (unit2) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H233]. % 196.35/196.50 congruence. % 196.35/196.50 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H1c]. % 196.35/196.50 cut (((e21) = (unit2))); [idtac | apply NNPP; zenon_intro zenon_H32]. % 196.35/196.50 congruence. % 196.35/196.50 apply zenon_H32. apply sym_equal. exact zenon_H2b. % 196.35/196.50 apply zenon_H1c. apply refl_equal. % 196.35/196.50 apply zenon_H22f. apply refl_equal. % 196.35/196.50 apply zenon_H22f. apply refl_equal. % 196.35/196.50 apply zenon_H231. apply sym_equal. exact zenon_H22c. % 196.35/196.50 apply zenon_H22f. apply refl_equal. % 196.35/196.50 apply zenon_H22f. apply refl_equal. % 196.35/196.50 (* end of lemma zenon_L310_ *) % 196.35/196.50 assert (zenon_L311_ : (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> ((op2 (e20) (e23)) = (e22)) -> ((op2 (unit2) (e22)) = (e22)) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> ((op2 (e21) (e20)) = (e23)) -> ((op2 (e23) (unit2)) = (e23)) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e21)) = (e21)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e20)) = (e20)) -> ((op2 (unit2) (e23)) = (e23)) -> ((op2 (e23) (e22)) = (e23)) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> False). % 196.35/196.50 do 0 intro. intros zenon_H49 zenon_H4e zenon_H37 zenon_H4d zenon_H22d zenon_H22c zenon_H54 zenon_H40 zenon_H67 zenon_H76 zenon_H77 zenon_H39 zenon_H2a zenon_H20 zenon_H6c zenon_H86. % 196.35/196.50 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H1e | zenon_intro zenon_H4a ]. % 196.35/196.50 apply (zenon_L12_); trivial. % 196.35/196.50 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2b | zenon_intro zenon_H4b ]. % 196.35/196.50 apply (zenon_L310_); trivial. % 196.35/196.50 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H3f ]. % 196.35/196.50 apply (zenon_L35_); trivial. % 196.35/196.50 apply (zenon_L36_); trivial. % 196.35/196.50 (* end of lemma zenon_L311_ *) % 196.35/196.50 assert (zenon_L312_ : (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (unit2) (e23)) = (e23)) -> ((op2 (unit2) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e21)) = (e21)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> ((op2 (e21) (e20)) = (e23)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> ((op2 (e20) (e23)) = (e22)) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((op2 (unit2) (e22)) = (e22)) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> False). % 196.35/196.50 do 0 intro. intros zenon_H9f zenon_H5d zenon_H29 zenon_H2c zenon_H56 zenon_H20 zenon_H2a zenon_H39 zenon_H77 zenon_H76 zenon_H22c zenon_H22d zenon_H4d zenon_H4e zenon_H49 zenon_H9e zenon_H67 zenon_H54 zenon_H86 zenon_H37 zenon_H40 zenon_H41. % 196.35/196.50 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H55 | zenon_intro zenon_Ha0 ]. % 196.35/196.50 apply (zenon_L17_); trivial. % 196.35/196.50 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_H61 | zenon_intro zenon_Ha1 ]. % 196.35/196.50 apply (zenon_L23_); trivial. % 196.35/196.50 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H6c | zenon_intro zenon_H87 ]. % 196.35/196.50 apply (zenon_L311_); trivial. % 196.35/196.50 apply (zenon_L40_); trivial. % 196.35/196.50 (* end of lemma zenon_L312_ *) % 196.35/196.50 assert (zenon_L313_ : (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> ((op2 (e22) (e20)) = (e21)) -> ((op2 (e21) (unit2)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e21) (e23)) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (e22) (e20)) = (e22)) -> ((op2 (unit2) (e22)) = (e22)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (unit2) (e21)) = (e21)) -> ((op2 (e23) (e22)) = (e21)) -> False). % 196.35/196.50 do 0 intro. intros zenon_H49 zenon_Hd9 zenon_Hcf zenon_Hd8 zenon_Haa zenon_Ha9 zenon_H39 zenon_H38 zenon_H37 zenon_H41 zenon_H77 zenon_Hdb. % 196.35/196.50 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H1e | zenon_intro zenon_H4a ]. % 196.35/196.50 apply (zenon_L80_); trivial. % 196.35/196.50 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2b | zenon_intro zenon_H4b ]. % 196.35/196.50 apply (zenon_L46_); trivial. % 196.35/196.50 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H3f ]. % 196.35/196.50 apply (zenon_L8_); trivial. % 196.35/196.50 apply (zenon_L82_); trivial. % 196.35/196.50 (* end of lemma zenon_L313_ *) % 196.35/196.50 assert (zenon_L314_ : (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((op2 (unit2) (e23)) = (e23)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e22) (unit2)) = (e22)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (unit2) (e20)) = (e20)) -> ((e20) = (op2 (e21) (e21))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> ((op2 (e22) (e20)) = (e21)) -> ((op2 (e21) (unit2)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e21) (e23)) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (e22) (e20)) = (e22)) -> ((op2 (unit2) (e22)) = (e22)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (unit2) (e21)) = (e21)) -> False). % 196.35/196.50 do 0 intro. intros zenon_Hdf zenon_Hc1 zenon_H86 zenon_H54 zenon_H67 zenon_H9e zenon_H5d zenon_Hb5 zenon_H20 zenon_Haf zenon_Ha4 zenon_Hb3 zenon_H56 zenon_H9f zenon_Hb6 zenon_H4d zenon_Ha3 zenon_Hd4 zenon_Hce zenon_Hba zenon_H40 zenon_H76 zenon_H29 zenon_H2a zenon_H2c zenon_H49 zenon_Hd9 zenon_Hcf zenon_Hd8 zenon_Haa zenon_Ha9 zenon_H39 zenon_H38 zenon_H37 zenon_H41 zenon_H77. % 196.35/196.50 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_Hc0 | zenon_intro zenon_He0 ]. % 196.35/196.50 apply (zenon_L218_); trivial. % 196.35/196.50 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hd0 | zenon_intro zenon_He1 ]. % 196.35/196.50 apply (zenon_L79_); trivial. % 196.35/196.50 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_H78 | zenon_intro zenon_Hdb ]. % 196.35/196.50 apply (zenon_L81_); trivial. % 196.35/196.50 apply (zenon_L313_); trivial. % 196.35/196.50 (* end of lemma zenon_L314_ *) % 196.35/196.50 assert (zenon_L315_ : ((op2 (e23) (unit2)) = (e23)) -> ((unit2) = (e20)) -> ((op2 (e21) (e20)) = (e23)) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> False). % 196.35/196.50 do 0 intro. intros zenon_H54 zenon_H1e zenon_H22c zenon_H234. % 196.35/196.50 elim (classic ((op2 (e23) (e20)) = (op2 (e23) (e20)))); [ zenon_intro zenon_H64 | zenon_intro zenon_H65 ]. % 196.35/196.50 cut (((op2 (e23) (e20)) = (op2 (e23) (e20))) = ((op2 (e21) (e20)) = (op2 (e23) (e20)))). % 196.35/196.50 intro zenon_D_pnotp. % 196.35/196.50 apply zenon_H234. % 196.35/196.50 rewrite <- zenon_D_pnotp. % 196.35/196.51 exact zenon_H64. % 196.35/196.51 cut (((op2 (e23) (e20)) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H65]. % 196.35/196.51 cut (((op2 (e23) (e20)) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H235]. % 196.35/196.51 congruence. % 196.35/196.51 cut (((op2 (e23) (unit2)) = (e23)) = ((op2 (e23) (e20)) = (op2 (e21) (e20)))). % 196.35/196.51 intro zenon_D_pnotp. % 196.35/196.51 apply zenon_H235. % 196.35/196.51 rewrite <- zenon_D_pnotp. % 196.35/196.51 exact zenon_H54. % 196.35/196.51 cut (((e23) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H231]. % 196.35/196.51 cut (((op2 (e23) (unit2)) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H63]. % 196.35/196.51 congruence. % 196.35/196.51 elim (classic ((op2 (e23) (e20)) = (op2 (e23) (e20)))); [ zenon_intro zenon_H64 | zenon_intro zenon_H65 ]. % 196.35/196.51 cut (((op2 (e23) (e20)) = (op2 (e23) (e20))) = ((op2 (e23) (unit2)) = (op2 (e23) (e20)))). % 196.35/196.51 intro zenon_D_pnotp. % 196.35/196.51 apply zenon_H63. % 196.35/196.51 rewrite <- zenon_D_pnotp. % 196.35/196.51 exact zenon_H64. % 196.35/196.51 cut (((op2 (e23) (e20)) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H65]. % 196.35/196.51 cut (((op2 (e23) (e20)) = (op2 (e23) (unit2)))); [idtac | apply NNPP; zenon_intro zenon_H60]. % 196.35/196.51 congruence. % 196.35/196.51 apply (zenon_L18_); trivial. % 196.35/196.51 apply zenon_H65. apply refl_equal. % 196.35/196.51 apply zenon_H65. apply refl_equal. % 196.35/196.51 apply zenon_H231. apply sym_equal. exact zenon_H22c. % 196.35/196.51 apply zenon_H65. apply refl_equal. % 196.35/196.51 apply zenon_H65. apply refl_equal. % 196.35/196.51 (* end of lemma zenon_L315_ *) % 196.35/196.51 assert (zenon_L316_ : (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e21) (e20)) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e20)) = (e23)) -> ((op2 (e23) (unit2)) = (e23)) -> ((op2 (e22) (e22)) = (e21)) -> ((op2 (unit2) (e21)) = (e21)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e22)) = (e22)) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> False). % 196.35/196.51 do 0 intro. intros zenon_H49 zenon_H234 zenon_H22c zenon_H56 zenon_H55 zenon_H54 zenon_H78 zenon_H77 zenon_H76 zenon_H37 zenon_H40 zenon_H41. % 196.35/196.51 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H1e | zenon_intro zenon_H4a ]. % 196.35/196.51 apply (zenon_L315_); trivial. % 196.35/196.51 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2b | zenon_intro zenon_H4b ]. % 196.35/196.51 apply (zenon_L14_); trivial. % 196.35/196.51 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H3f ]. % 196.35/196.51 apply (zenon_L30_); trivial. % 196.35/196.51 apply (zenon_L9_); trivial. % 196.35/196.51 (* end of lemma zenon_L316_ *) % 196.35/196.51 assert (zenon_L317_ : (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((op2 (e22) (e22)) = (e21)) -> ((op2 (e21) (e20)) = (e23)) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> ((op2 (e21) (e23)) = (e22)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (unit2) (e23)) = (e23)) -> ((op2 (unit2) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e21)) = (e21)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((op2 (unit2) (e22)) = (e22)) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> False). % 196.35/196.51 do 0 intro. intros zenon_H9f zenon_H78 zenon_H22c zenon_H234 zenon_Ha9 zenon_Haa zenon_H56 zenon_H20 zenon_H2a zenon_H39 zenon_H77 zenon_H76 zenon_H5d zenon_H49 zenon_H9e zenon_H67 zenon_H54 zenon_H86 zenon_H37 zenon_H40 zenon_H41. % 196.35/196.51 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H55 | zenon_intro zenon_Ha0 ]. % 196.35/196.51 apply (zenon_L316_); trivial. % 196.35/196.51 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_H61 | zenon_intro zenon_Ha1 ]. % 196.35/196.51 apply (zenon_L47_); trivial. % 196.35/196.51 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H6c | zenon_intro zenon_H87 ]. % 196.35/196.51 apply (zenon_L37_); trivial. % 196.35/196.51 apply (zenon_L40_); trivial. % 196.35/196.51 (* end of lemma zenon_L317_ *) % 196.35/196.51 assert (zenon_L318_ : (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> ((op2 (e21) (e20)) = (e23)) -> ((op2 (unit2) (e23)) = (e23)) -> ((op2 (e22) (e23)) = (e21)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (unit2) (e21)) = (e21)) -> ((op2 (e23) (e22)) = (e21)) -> False). % 196.35/196.51 do 0 intro. intros zenon_H49 zenon_H234 zenon_H54 zenon_H22d zenon_H22c zenon_H20 zenon_H1dc zenon_Hb3 zenon_H41 zenon_H77 zenon_Hdb. % 196.35/196.51 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H1e | zenon_intro zenon_H4a ]. % 196.35/196.51 apply (zenon_L315_); trivial. % 196.35/196.51 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2b | zenon_intro zenon_H4b ]. % 196.35/196.51 apply (zenon_L310_); trivial. % 196.35/196.51 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H3f ]. % 196.35/196.51 apply (zenon_L212_); trivial. % 196.35/196.51 apply (zenon_L82_); trivial. % 196.35/196.51 (* end of lemma zenon_L318_ *) % 196.35/196.51 assert (zenon_L319_ : (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e22) (unit2)) = (e22)) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((op2 (e21) (unit2)) = (e21)) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> ((e22) = (op2 (e23) (e21))) -> ((op2 (unit2) (e22)) = (e22)) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e20)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e21) (e23)) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> ((op2 (e21) (e20)) = (e23)) -> ((op2 (unit2) (e23)) = (e23)) -> ((op2 (e22) (e23)) = (e21)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (unit2) (e21)) = (e21)) -> False). % 196.35/196.51 do 0 intro. intros zenon_Hdf zenon_Hc1 zenon_Hb5 zenon_Haf zenon_Ha4 zenon_Hb6 zenon_H4d zenon_H2c zenon_H29 zenon_Ha3 zenon_Hd4 zenon_Hce zenon_Hcf zenon_Hba zenon_H40 zenon_H37 zenon_H86 zenon_H67 zenon_H9e zenon_H5d zenon_H76 zenon_H39 zenon_H2a zenon_H56 zenon_Haa zenon_Ha9 zenon_H9f zenon_H49 zenon_H234 zenon_H54 zenon_H22d zenon_H22c zenon_H20 zenon_H1dc zenon_Hb3 zenon_H41 zenon_H77. % 196.35/196.51 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_Hc0 | zenon_intro zenon_He0 ]. % 196.35/196.51 apply (zenon_L251_); trivial. % 196.35/196.51 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hd0 | zenon_intro zenon_He1 ]. % 196.35/196.51 apply (zenon_L79_); trivial. % 196.35/196.51 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_H78 | zenon_intro zenon_Hdb ]. % 196.35/196.51 apply (zenon_L317_); trivial. % 196.35/196.51 apply (zenon_L318_); trivial. % 196.35/196.51 (* end of lemma zenon_L319_ *) % 196.35/196.51 assert (zenon_L320_ : (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e22) (e20)) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e22) (e21)) = (e23)) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e22) (unit2)) = (e22)) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((op2 (e21) (unit2)) = (e21)) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> ((e22) = (op2 (e23) (e21))) -> ((op2 (unit2) (e22)) = (e22)) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e20)) = (e20)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e21) (e23)) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> ((op2 (e21) (e20)) = (e23)) -> ((op2 (unit2) (e23)) = (e23)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (unit2) (e21)) = (e21)) -> False). % 196.35/196.51 do 0 intro. intros zenon_H1de zenon_Hd8 zenon_H1d9 zenon_H1cd zenon_H1d4 zenon_H38 zenon_H1d1 zenon_Hc7 zenon_Hdf zenon_Hc1 zenon_Hb5 zenon_Haf zenon_Ha4 zenon_Hb6 zenon_H4d zenon_H2c zenon_H29 zenon_Ha3 zenon_Hd4 zenon_Hce zenon_Hcf zenon_Hba zenon_H40 zenon_H37 zenon_H86 zenon_H67 zenon_H9e zenon_H5d zenon_H76 zenon_H39 zenon_H2a zenon_H56 zenon_Haa zenon_Ha9 zenon_H9f zenon_H49 zenon_H234 zenon_H54 zenon_H22d zenon_H22c zenon_H20 zenon_Hb3 zenon_H41 zenon_H77. % 196.35/196.51 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_Hd9 | zenon_intro zenon_H1df ]. % 196.35/196.51 apply (zenon_L314_); trivial. % 196.35/196.51 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H1ce | zenon_intro zenon_H1e0 ]. % 196.35/196.51 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_Hc0 | zenon_intro zenon_He0 ]. % 196.35/196.51 apply (zenon_L71_); trivial. % 196.35/196.51 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hd0 | zenon_intro zenon_He1 ]. % 196.35/196.51 apply (zenon_L79_); trivial. % 196.35/196.51 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_H78 | zenon_intro zenon_Hdb ]. % 196.35/196.51 apply (zenon_L317_); trivial. % 196.35/196.51 apply (zenon_L211_); trivial. % 196.35/196.51 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H78 | zenon_intro zenon_H1dc ]. % 196.35/196.51 apply (zenon_L317_); trivial. % 196.35/196.51 apply (zenon_L319_); trivial. % 196.35/196.51 (* end of lemma zenon_L320_ *) % 196.35/196.51 assert (zenon_L321_ : ((op2 (unit2) (e21)) = (e21)) -> ((op2 (e21) (e20)) = (e23)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> ((op2 (unit2) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> ((op2 (e21) (unit2)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> ((op2 (e22) (e21)) = (e23)) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e22) (e20)) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (unit2) (e22)) = (e22)) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((op2 (unit2) (e23)) = (e23)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e22) (unit2)) = (e22)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> False). % 196.35/196.51 do 0 intro. intros zenon_H77 zenon_H22c zenon_H22d zenon_H234 zenon_Ha9 zenon_H2a zenon_H39 zenon_H76 zenon_Hba zenon_Hcf zenon_Hce zenon_Hd4 zenon_Ha3 zenon_H29 zenon_H2c zenon_H4d zenon_Hb6 zenon_Hc1 zenon_Hdf zenon_Hc7 zenon_H1d1 zenon_H38 zenon_H1d4 zenon_H1cd zenon_H1d9 zenon_Hd8 zenon_H1de zenon_H41 zenon_H37 zenon_H86 zenon_H54 zenon_H9e zenon_H49 zenon_H5d zenon_Hb5 zenon_H20 zenon_Haf zenon_Ha4 zenon_Hb3 zenon_H56 zenon_H9f zenon_H40 zenon_H67. % 196.35/196.51 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_H4e | zenon_intro zenon_Hb7 ]. % 196.35/196.51 apply (zenon_L312_); trivial. % 196.35/196.51 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_Haa | zenon_intro zenon_Hb8 ]. % 196.35/196.51 apply (zenon_L320_); trivial. % 196.35/196.51 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H7d ]. % 196.35/196.51 apply (zenon_L55_); trivial. % 196.35/196.51 apply (zenon_L31_); trivial. % 196.35/196.51 (* end of lemma zenon_L321_ *) % 196.35/196.51 assert (zenon_L322_ : (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((e20) = (e23))) -> ((e22) = (op2 (e23) (e21))) -> ((op2 (unit2) (e22)) = (e22)) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e22) (unit2)) = (e22)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e21)) = (e21)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((op2 (e21) (e20)) = (e23)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> ((op2 (e21) (unit2)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> ((op2 (unit2) (e20)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e23) (unit2)) = (e23)) -> ((op2 (unit2) (e23)) = (e23)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> False). % 196.35/196.51 do 0 intro. intros zenon_H1ca zenon_H22 zenon_Hbd zenon_H40 zenon_H37 zenon_H86 zenon_H9e zenon_H5d zenon_Hb5 zenon_Haf zenon_Ha4 zenon_Hb3 zenon_H9f zenon_Hb6 zenon_H4d zenon_H76 zenon_H77 zenon_H39 zenon_Ha9 zenon_Ha3 zenon_H22c zenon_H22d zenon_H234 zenon_Hba zenon_Hcf zenon_Hce zenon_Hd4 zenon_Hc1 zenon_Hdf zenon_H1d1 zenon_H1d4 zenon_H1cd zenon_H1d9 zenon_Hd8 zenon_H1de zenon_H49 zenon_H56 zenon_H2c zenon_H2a zenon_H29 zenon_H41 zenon_H54 zenon_H20 zenon_H67. % 196.35/196.51 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H21 | zenon_intro zenon_H1cb ]. % 196.35/196.51 apply (zenon_L64_); trivial. % 196.35/196.51 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H8d | zenon_intro zenon_H1cc ]. % 196.35/196.51 apply (zenon_L65_); trivial. % 196.35/196.51 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H61 ]. % 196.35/196.51 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H38 | zenon_intro zenon_Hbb ]. % 196.35/196.51 apply (zenon_L321_); trivial. % 196.35/196.51 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_Ha5 | zenon_intro zenon_Hbc ]. % 196.35/196.51 apply (zenon_L217_); trivial. % 196.35/196.51 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H85 | zenon_intro zenon_Hb0 ]. % 196.35/196.51 apply (zenon_L63_); trivial. % 196.35/196.51 apply (zenon_L55_); trivial. % 196.35/196.51 apply (zenon_L23_); trivial. % 196.35/196.51 (* end of lemma zenon_L322_ *) % 196.35/196.51 assert (zenon_L323_ : (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e20)) = (e20)) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> ((op2 (e23) (e22)) = (e21)) -> ((op2 (unit2) (e21)) = (e21)) -> ((op2 (e22) (e20)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e21) (unit2)) = (e21)) -> ((op2 (e22) (e20)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (unit2) (e22)) = (e22)) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((op2 (unit2) (e23)) = (e23)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e22) (unit2)) = (e22)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> False). % 196.35/196.51 do 0 intro. intros zenon_Hb6 zenon_H76 zenon_H2a zenon_H2c zenon_H29 zenon_H4d zenon_Hdb zenon_H77 zenon_H38 zenon_H39 zenon_Ha9 zenon_Hd8 zenon_Hcf zenon_Hd9 zenon_H41 zenon_H37 zenon_H86 zenon_H54 zenon_H9e zenon_H49 zenon_H5d zenon_Hb5 zenon_H20 zenon_Haf zenon_Ha4 zenon_Hb3 zenon_H56 zenon_H9f zenon_H40 zenon_H67. % 196.35/196.51 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_H4e | zenon_intro zenon_Hb7 ]. % 196.35/196.51 apply (zenon_L41_); trivial. % 196.35/196.51 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_Haa | zenon_intro zenon_Hb8 ]. % 196.35/196.51 apply (zenon_L313_); trivial. % 196.35/196.51 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H7d ]. % 196.35/196.51 apply (zenon_L55_); trivial. % 196.35/196.51 apply (zenon_L31_); trivial. % 196.35/196.51 (* end of lemma zenon_L323_ *) % 196.35/196.51 assert (zenon_L324_ : (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> ((op2 (e22) (e20)) = (e21)) -> ((op2 (e21) (unit2)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> ((op2 (unit2) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e21)) = (e21)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((op2 (e22) (unit2)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (unit2) (e23)) = (e23)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((op2 (unit2) (e22)) = (e22)) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> False). % 196.35/196.51 do 0 intro. intros zenon_Hdf zenon_Hc1 zenon_Hd4 zenon_Hce zenon_Hba zenon_Hd9 zenon_Hcf zenon_Hd8 zenon_Ha3 zenon_H29 zenon_H2c zenon_Ha9 zenon_H2a zenon_H39 zenon_H77 zenon_H76 zenon_H4d zenon_Hb6 zenon_H9f zenon_H56 zenon_Hb3 zenon_Ha4 zenon_Haf zenon_H20 zenon_Hb5 zenon_H5d zenon_H49 zenon_H9e zenon_H67 zenon_H54 zenon_H86 zenon_H37 zenon_H40 zenon_H41. % 196.35/196.51 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_Hc0 | zenon_intro zenon_He0 ]. % 196.35/196.51 apply (zenon_L218_); trivial. % 196.35/196.51 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hd0 | zenon_intro zenon_He1 ]. % 196.35/196.51 apply (zenon_L79_); trivial. % 196.35/196.51 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_H78 | zenon_intro zenon_Hdb ]. % 196.35/196.51 apply (zenon_L81_); trivial. % 196.35/196.51 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H38 | zenon_intro zenon_Hbb ]. % 196.35/196.51 apply (zenon_L323_); trivial. % 196.35/196.51 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_Ha5 | zenon_intro zenon_Hbc ]. % 196.35/196.51 apply (zenon_L56_); trivial. % 196.35/196.51 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H85 | zenon_intro zenon_Hb0 ]. % 196.35/196.51 apply (zenon_L227_); trivial. % 196.35/196.51 apply (zenon_L55_); trivial. % 196.35/196.51 (* end of lemma zenon_L324_ *) % 196.35/196.51 assert (zenon_L325_ : (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((e20) = (e23))) -> ((e22) = (op2 (e23) (e21))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((op2 (e22) (unit2)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((op2 (unit2) (e22)) = (e22)) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e22) (e20)) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((op2 (e21) (unit2)) = (e21)) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> ((op2 (e21) (e20)) = (e23)) -> ((op2 (unit2) (e21)) = (e21)) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> ((op2 (unit2) (e20)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e23) (unit2)) = (e23)) -> ((op2 (unit2) (e23)) = (e23)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> False). % 196.35/196.51 do 0 intro. intros zenon_H1ca zenon_H22 zenon_Hbd zenon_H40 zenon_H9f zenon_Hb3 zenon_Ha4 zenon_Haf zenon_Hb5 zenon_H5d zenon_H9e zenon_H86 zenon_H37 zenon_H1de zenon_Hd8 zenon_H1d9 zenon_H1cd zenon_H1d4 zenon_H38 zenon_H1d1 zenon_Hdf zenon_Hc1 zenon_Hb6 zenon_H4d zenon_Ha3 zenon_Hd4 zenon_Hce zenon_Hcf zenon_Hba zenon_H76 zenon_H39 zenon_Ha9 zenon_H234 zenon_H22d zenon_H22c zenon_H77 zenon_H49 zenon_H56 zenon_H2c zenon_H2a zenon_H29 zenon_H41 zenon_H54 zenon_H20 zenon_H67. % 196.35/196.51 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H21 | zenon_intro zenon_H1cb ]. % 196.35/196.51 apply (zenon_L10_); trivial. % 196.35/196.51 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H8d | zenon_intro zenon_H1cc ]. % 196.35/196.51 apply (zenon_L65_); trivial. % 196.35/196.51 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H61 ]. % 196.35/196.51 apply (zenon_L321_); trivial. % 196.35/196.51 apply (zenon_L23_); trivial. % 196.35/196.51 (* end of lemma zenon_L325_ *) % 196.35/196.51 assert (zenon_L326_ : (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e22)) = (e23)) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e20) (e23)) = (e23)) -> ((op2 (unit2) (e23)) = (e23)) -> ((op2 (unit2) (e22)) = (e22)) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> False). % 196.35/196.51 do 0 intro. intros zenon_H49 zenon_H5d zenon_H6c zenon_H54 zenon_H1d1 zenon_H1d0 zenon_H20 zenon_H37 zenon_H40 zenon_H41. % 196.35/196.51 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H1e | zenon_intro zenon_H4a ]. % 196.35/196.51 apply (zenon_L24_); trivial. % 196.35/196.51 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2b | zenon_intro zenon_H4b ]. % 196.35/196.51 apply (zenon_L25_); trivial. % 196.35/196.51 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H3f ]. % 196.35/196.51 apply (zenon_L203_); trivial. % 196.35/196.51 apply (zenon_L9_); trivial. % 196.35/196.51 (* end of lemma zenon_L326_ *) % 196.35/196.51 assert (zenon_L327_ : (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((op2 (e22) (unit2)) = (e22)) -> ((op2 (e22) (e21)) = (e22)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (unit2) (e20)) = (e20)) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (unit2) (e23)) = (e23)) -> ((op2 (e20) (e23)) = (e23)) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((op2 (unit2) (e22)) = (e22)) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> False). % 196.35/196.51 do 0 intro. intros zenon_H9f zenon_Ha3 zenon_Ha4 zenon_Ha5 zenon_H29 zenon_H2a zenon_H2c zenon_H56 zenon_H20 zenon_H1d0 zenon_H1d1 zenon_H5d zenon_H49 zenon_H9e zenon_H67 zenon_H54 zenon_H86 zenon_H37 zenon_H40 zenon_H41. % 196.35/196.51 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H55 | zenon_intro zenon_Ha0 ]. % 196.35/196.51 apply (zenon_L44_); trivial. % 196.35/196.51 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_H61 | zenon_intro zenon_Ha1 ]. % 196.35/196.51 apply (zenon_L23_); trivial. % 196.35/196.51 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H6c | zenon_intro zenon_H87 ]. % 196.35/196.51 apply (zenon_L326_); trivial. % 196.35/196.51 apply (zenon_L40_); trivial. % 196.35/196.51 (* end of lemma zenon_L327_ *) % 196.35/196.51 assert (zenon_L328_ : ((op2 (e21) (e20)) = (e23)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> ((op2 (e21) (unit2)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((e20) = (e23))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e20) (e23)) = (e23)) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> ((op2 (unit2) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e21)) = (e21)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((op2 (e22) (unit2)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (unit2) (e23)) = (e23)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((op2 (unit2) (e22)) = (e22)) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> False). % 196.35/196.51 do 0 intro. intros zenon_H22c zenon_H22d zenon_H234 zenon_Hba zenon_Hcf zenon_Hce zenon_Hd4 zenon_Hc1 zenon_Hdf zenon_H1d4 zenon_H1cd zenon_H1d9 zenon_Hd8 zenon_H1de zenon_Hbd zenon_H22 zenon_H1ca zenon_H1d1 zenon_H1d0 zenon_H2c zenon_H29 zenon_Ha3 zenon_Ha9 zenon_H2a zenon_H39 zenon_H77 zenon_H76 zenon_H4d zenon_Hb6 zenon_H9f zenon_H56 zenon_Hb3 zenon_Ha4 zenon_Haf zenon_H20 zenon_Hb5 zenon_H5d zenon_H49 zenon_H9e zenon_H67 zenon_H54 zenon_H86 zenon_H37 zenon_H40 zenon_H41. % 196.35/196.51 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H38 | zenon_intro zenon_Hbb ]. % 196.35/196.51 apply (zenon_L325_); trivial. % 196.35/196.51 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_Ha5 | zenon_intro zenon_Hbc ]. % 196.35/196.51 apply (zenon_L327_); trivial. % 196.35/196.51 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H85 | zenon_intro zenon_Hb0 ]. % 196.35/196.51 apply (zenon_L63_); trivial. % 196.35/196.51 apply (zenon_L55_); trivial. % 196.35/196.51 (* end of lemma zenon_L328_ *) % 196.35/196.51 assert (zenon_L329_ : ((op1 (unit1) (e13)) = (e13)) -> ((unit1) = (e11)) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> False). % 196.35/196.51 do 0 intro. intros zenon_H13a zenon_H10d zenon_H236 zenon_H237. % 196.35/196.51 elim (classic ((op1 (e11) (e13)) = (op1 (e11) (e13)))); [ zenon_intro zenon_H238 | zenon_intro zenon_H239 ]. % 196.35/196.51 cut (((op1 (e11) (e13)) = (op1 (e11) (e13))) = ((op1 (e11) (e10)) = (op1 (e11) (e13)))). % 196.35/196.51 intro zenon_D_pnotp. % 196.35/196.51 apply zenon_H237. % 196.35/196.51 rewrite <- zenon_D_pnotp. % 196.35/196.51 exact zenon_H238. % 196.35/196.51 cut (((op1 (e11) (e13)) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H239]. % 196.35/196.51 cut (((op1 (e11) (e13)) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H23a]. % 196.35/196.51 congruence. % 196.35/196.51 cut (((op1 (unit1) (e13)) = (e13)) = ((op1 (e11) (e13)) = (op1 (e11) (e10)))). % 196.35/196.51 intro zenon_D_pnotp. % 196.35/196.51 apply zenon_H23a. % 196.35/196.51 rewrite <- zenon_D_pnotp. % 196.35/196.51 exact zenon_H13a. % 196.35/196.51 cut (((e13) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H23b]. % 196.35/196.51 cut (((op1 (unit1) (e13)) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H23c]. % 196.35/196.51 congruence. % 196.35/196.51 elim (classic ((op1 (e11) (e13)) = (op1 (e11) (e13)))); [ zenon_intro zenon_H238 | zenon_intro zenon_H239 ]. % 196.35/196.51 cut (((op1 (e11) (e13)) = (op1 (e11) (e13))) = ((op1 (unit1) (e13)) = (op1 (e11) (e13)))). % 196.35/196.51 intro zenon_D_pnotp. % 196.35/196.51 apply zenon_H23c. % 196.35/196.51 rewrite <- zenon_D_pnotp. % 196.35/196.51 exact zenon_H238. % 196.35/196.51 cut (((op1 (e11) (e13)) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H239]. % 196.35/196.51 cut (((op1 (e11) (e13)) = (op1 (unit1) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H23d]. % 196.35/196.51 congruence. % 196.35/196.51 cut (((e13) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H10b]. % 196.35/196.51 cut (((e11) = (unit1))); [idtac | apply NNPP; zenon_intro zenon_H10e]. % 196.35/196.51 congruence. % 196.35/196.51 apply zenon_H10e. apply sym_equal. exact zenon_H10d. % 196.35/196.51 apply zenon_H10b. apply refl_equal. % 196.35/196.51 apply zenon_H239. apply refl_equal. % 196.35/196.51 apply zenon_H239. apply refl_equal. % 196.35/196.51 apply zenon_H23b. apply sym_equal. exact zenon_H236. % 196.35/196.51 apply zenon_H239. apply refl_equal. % 196.35/196.51 apply zenon_H239. apply refl_equal. % 196.35/196.51 (* end of lemma zenon_L329_ *) % 196.35/196.51 assert (zenon_L330_ : (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> ((op1 (e11) (e10)) = (e13)) -> ((op1 (unit1) (e13)) = (e13)) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e10)) = (e10)) -> ((op1 (unit1) (e12)) = (e12)) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> False). % 196.35/196.51 do 0 intro. intros zenon_H127 zenon_H106 zenon_H104 zenon_H237 zenon_H236 zenon_H13a zenon_H10f zenon_H15b zenon_H13b zenon_H14b zenon_H14c zenon_H143 zenon_H132 zenon_H105 zenon_H120 zenon_H121. % 196.35/196.51 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H102 | zenon_intro zenon_H128 ]. % 196.35/196.51 apply (zenon_L101_); trivial. % 196.35/196.51 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H10d | zenon_intro zenon_H129 ]. % 196.35/196.51 apply (zenon_L329_); trivial. % 196.35/196.51 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H118 | zenon_intro zenon_H11f ]. % 196.35/196.51 apply (zenon_L128_); trivial. % 196.35/196.51 apply (zenon_L107_); trivial. % 196.35/196.51 (* end of lemma zenon_L330_ *) % 196.35/196.51 assert (zenon_L331_ : (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e10)) = (e10)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (e12) (e11)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (unit1) (e12)) = (e12)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> False). % 196.35/196.51 do 0 intro. intros zenon_H192 zenon_H236 zenon_H237 zenon_H104 zenon_H14b zenon_H14c zenon_H143 zenon_H132 zenon_H17e zenon_H1a4 zenon_H1a3 zenon_H121 zenon_H105 zenon_H15b zenon_H10f zenon_H172 zenon_H127 zenon_H11a zenon_H18e zenon_H13a zenon_H185 zenon_H186 zenon_H18b zenon_H111 zenon_H173 zenon_H120 zenon_H13b. % 196.35/196.51 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H106 | zenon_intro zenon_H193 ]. % 196.35/196.51 apply (zenon_L330_); trivial. % 196.35/196.51 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H17f | zenon_intro zenon_H194 ]. % 196.35/196.51 apply (zenon_L161_); trivial. % 196.35/196.51 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H187 | zenon_intro zenon_H152 ]. % 196.35/196.51 apply (zenon_L149_); trivial. % 196.35/196.51 apply (zenon_L124_); trivial. % 196.35/196.51 (* end of lemma zenon_L331_ *) % 196.35/196.51 assert (zenon_L332_ : (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((op1 (e11) (unit1)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((op1 (e11) (e12)) = (e11)) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> ((op1 (e11) (e10)) = (e13)) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e10)) = (e10)) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (unit1) (e12)) = (e12)) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> False). % 196.35/196.51 do 0 intro. intros zenon_H1a7 zenon_H197 zenon_H196 zenon_H198 zenon_H19c zenon_H1a3 zenon_H17e zenon_H104 zenon_H237 zenon_H236 zenon_H192 zenon_H14b zenon_H14c zenon_H143 zenon_H132 zenon_H133 zenon_H131 zenon_H173 zenon_H111 zenon_H18b zenon_H186 zenon_H185 zenon_H13a zenon_H18e zenon_H11a zenon_H127 zenon_H172 zenon_H13b zenon_H10f zenon_H15b zenon_H105 zenon_H120 zenon_H121. % 196.35/196.51 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H1a0 | zenon_intro zenon_H1a8 ]. % 196.35/196.51 apply (zenon_L158_); trivial. % 196.35/196.51 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H1a4 | zenon_intro zenon_H1a9 ]. % 196.35/196.51 apply (zenon_L331_); trivial. % 196.35/196.51 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_H15a | zenon_intro zenon_H187 ]. % 196.35/196.51 apply (zenon_L165_); trivial. % 196.35/196.51 apply (zenon_L149_); trivial. % 196.35/196.51 (* end of lemma zenon_L332_ *) % 196.35/196.51 assert (zenon_L333_ : (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((op1 (e10) (e11)) = (e13)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> ((op1 (e11) (e10)) = (e13)) -> ((op1 (unit1) (e13)) = (e13)) -> ((op1 (e12) (e12)) = (e11)) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e12)) = (e12)) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> False). % 196.35/196.51 do 0 intro. intros zenon_H127 zenon_H20f zenon_H20e zenon_H237 zenon_H236 zenon_H13a zenon_H14d zenon_H14c zenon_H14b zenon_H105 zenon_H120 zenon_H121. % 196.35/196.51 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H102 | zenon_intro zenon_H128 ]. % 196.35/196.51 apply (zenon_L278_); trivial. % 196.35/196.51 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H10d | zenon_intro zenon_H129 ]. % 196.35/196.51 apply (zenon_L329_); trivial. % 196.35/196.51 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H118 | zenon_intro zenon_H11f ]. % 196.35/196.51 apply (zenon_L123_); trivial. % 196.35/196.51 apply (zenon_L107_); trivial. % 196.35/196.51 (* end of lemma zenon_L333_ *) % 196.35/196.51 assert (zenon_L334_ : (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((op1 (e10) (e11)) = (e13)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> ((op1 (e11) (e10)) = (e13)) -> ((op1 (unit1) (e13)) = (e13)) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e10)) = (e10)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> ((op1 (e13) (e12)) = (e11)) -> False). % 196.35/196.51 do 0 intro. intros zenon_H127 zenon_H20f zenon_H20e zenon_H237 zenon_H236 zenon_H13a zenon_H10f zenon_H15b zenon_H120 zenon_H13b zenon_H14b zenon_H143 zenon_H132 zenon_H121 zenon_H14c zenon_H1b1. % 196.35/196.51 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H102 | zenon_intro zenon_H128 ]. % 196.35/196.51 apply (zenon_L278_); trivial. % 196.35/196.51 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H10d | zenon_intro zenon_H129 ]. % 196.35/196.51 apply (zenon_L329_); trivial. % 196.35/196.51 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H118 | zenon_intro zenon_H11f ]. % 196.35/196.51 apply (zenon_L128_); trivial. % 196.35/196.51 apply (zenon_L170_); trivial. % 196.35/196.51 (* end of lemma zenon_L334_ *) % 196.35/196.51 assert (zenon_L335_ : (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((op1 (e11) (unit1)) = (e11)) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((op1 (unit1) (e12)) = (e12)) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((op1 (e10) (e11)) = (e13)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> ((op1 (e11) (e10)) = (e13)) -> ((op1 (unit1) (e13)) = (e13)) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e10)) = (e10)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> False). % 196.35/196.51 do 0 intro. intros zenon_H1b5 zenon_H178 zenon_H172 zenon_H11a zenon_H18e zenon_H185 zenon_H186 zenon_H18b zenon_H111 zenon_H173 zenon_H131 zenon_H133 zenon_H192 zenon_H104 zenon_H17e zenon_H1a3 zenon_H19c zenon_H196 zenon_H197 zenon_H1a7 zenon_H105 zenon_H127 zenon_H20f zenon_H20e zenon_H237 zenon_H236 zenon_H13a zenon_H10f zenon_H15b zenon_H120 zenon_H13b zenon_H14b zenon_H143 zenon_H132 zenon_H121 zenon_H14c. % 196.35/196.51 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H177 | zenon_intro zenon_H1b6 ]. % 196.35/196.51 apply (zenon_L150_); trivial. % 196.35/196.51 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H198 | zenon_intro zenon_H1b7 ]. % 196.35/196.51 apply (zenon_L332_); trivial. % 196.35/196.51 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H14d | zenon_intro zenon_H1b1 ]. % 196.35/196.51 apply (zenon_L333_); trivial. % 196.35/196.51 apply (zenon_L334_); trivial. % 196.35/196.51 (* end of lemma zenon_L335_ *) % 196.35/196.51 assert (zenon_L336_ : (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((op1 (unit1) (e10)) = (e10)) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> ((op1 (e12) (e12)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (unit1) (e12)) = (e12)) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> False). % 196.35/196.51 do 0 intro. intros zenon_H173 zenon_H104 zenon_H106 zenon_H131 zenon_H132 zenon_H133 zenon_H111 zenon_H13a zenon_H14b zenon_H14c zenon_H14d zenon_H11a zenon_H127 zenon_H172 zenon_H13b zenon_H10f zenon_H15b zenon_H105 zenon_H120 zenon_H121. % 196.35/196.51 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H110 | zenon_intro zenon_H174 ]. % 196.35/196.51 apply (zenon_L108_); trivial. % 196.35/196.51 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H12b | zenon_intro zenon_H175 ]. % 196.35/196.51 apply (zenon_L116_); trivial. % 196.35/196.51 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H140 | zenon_intro zenon_H15c ]. % 196.35/196.51 apply (zenon_L191_); trivial. % 196.35/196.51 apply (zenon_L133_); trivial. % 196.35/196.51 (* end of lemma zenon_L336_ *) % 196.35/196.51 assert (zenon_L337_ : ((op1 (e13) (unit1)) = (e13)) -> ((unit1) = (e10)) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> False). % 196.35/196.51 do 0 intro. intros zenon_H10f zenon_H102 zenon_H236 zenon_H23e. % 196.35/196.51 elim (classic ((op1 (e13) (e10)) = (op1 (e13) (e10)))); [ zenon_intro zenon_H12e | zenon_intro zenon_H12f ]. % 196.35/196.51 cut (((op1 (e13) (e10)) = (op1 (e13) (e10))) = ((op1 (e11) (e10)) = (op1 (e13) (e10)))). % 196.35/196.51 intro zenon_D_pnotp. % 196.35/196.51 apply zenon_H23e. % 196.35/196.51 rewrite <- zenon_D_pnotp. % 196.35/196.51 exact zenon_H12e. % 196.35/196.51 cut (((op1 (e13) (e10)) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H12f]. % 196.35/196.51 cut (((op1 (e13) (e10)) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H23f]. % 196.35/196.51 congruence. % 196.35/196.51 cut (((op1 (e13) (unit1)) = (e13)) = ((op1 (e13) (e10)) = (op1 (e11) (e10)))). % 196.35/196.51 intro zenon_D_pnotp. % 196.35/196.51 apply zenon_H23f. % 196.35/196.51 rewrite <- zenon_D_pnotp. % 196.35/196.51 exact zenon_H10f. % 196.35/196.51 cut (((e13) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H23b]. % 196.35/196.51 cut (((op1 (e13) (unit1)) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H12d]. % 196.35/196.51 congruence. % 196.35/196.51 elim (classic ((op1 (e13) (e10)) = (op1 (e13) (e10)))); [ zenon_intro zenon_H12e | zenon_intro zenon_H12f ]. % 196.35/196.51 cut (((op1 (e13) (e10)) = (op1 (e13) (e10))) = ((op1 (e13) (unit1)) = (op1 (e13) (e10)))). % 196.35/196.51 intro zenon_D_pnotp. % 196.35/196.51 apply zenon_H12d. % 196.35/196.51 rewrite <- zenon_D_pnotp. % 196.35/196.51 exact zenon_H12e. % 196.35/196.51 cut (((op1 (e13) (e10)) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H12f]. % 196.35/196.51 cut (((op1 (e13) (e10)) = (op1 (e13) (unit1)))); [idtac | apply NNPP; zenon_intro zenon_H12a]. % 196.35/196.51 congruence. % 196.35/196.51 apply (zenon_L109_); trivial. % 196.35/196.51 apply zenon_H12f. apply refl_equal. % 196.35/196.51 apply zenon_H12f. apply refl_equal. % 196.35/196.51 apply zenon_H23b. apply sym_equal. exact zenon_H236. % 196.35/196.51 apply zenon_H12f. apply refl_equal. % 196.35/196.51 apply zenon_H12f. apply refl_equal. % 196.35/196.51 (* end of lemma zenon_L337_ *) % 196.35/196.51 assert (zenon_L338_ : (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e11) (e10)) = (e13)) -> ((op1 (e13) (unit1)) = (e13)) -> ((op1 (e11) (e13)) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (e12) (e12)) = (e11)) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e12)) = (e12)) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> False). % 196.35/196.51 do 0 intro. intros zenon_H127 zenon_H23e zenon_H236 zenon_H10f zenon_H17f zenon_H17e zenon_H14d zenon_H14c zenon_H14b zenon_H105 zenon_H120 zenon_H121. % 196.35/196.51 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H102 | zenon_intro zenon_H128 ]. % 196.35/196.51 apply (zenon_L337_); trivial. % 196.35/196.51 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H10d | zenon_intro zenon_H129 ]. % 196.35/196.51 apply (zenon_L138_); trivial. % 196.35/196.51 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H118 | zenon_intro zenon_H11f ]. % 196.35/196.51 apply (zenon_L123_); trivial. % 196.35/196.51 apply (zenon_L107_); trivial. % 196.35/196.51 (* end of lemma zenon_L338_ *) % 196.35/196.51 assert (zenon_L339_ : (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((e10) = (op1 (e11) (e11))) -> ((op1 (unit1) (e10)) = (e10)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> ((op1 (e12) (e12)) = (e11)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (unit1) (e12)) = (e12)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> False). % 196.35/196.51 do 0 intro. intros zenon_H192 zenon_H133 zenon_H132 zenon_H131 zenon_H104 zenon_H14b zenon_H14c zenon_H14d zenon_H17e zenon_H236 zenon_H23e zenon_H121 zenon_H105 zenon_H15b zenon_H10f zenon_H172 zenon_H127 zenon_H11a zenon_H18e zenon_H13a zenon_H185 zenon_H186 zenon_H18b zenon_H111 zenon_H173 zenon_H120 zenon_H13b. % 196.35/196.51 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H106 | zenon_intro zenon_H193 ]. % 196.35/196.51 apply (zenon_L336_); trivial. % 196.35/196.51 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H17f | zenon_intro zenon_H194 ]. % 196.35/196.51 apply (zenon_L338_); trivial. % 196.35/196.51 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H187 | zenon_intro zenon_H152 ]. % 196.35/196.51 apply (zenon_L149_); trivial. % 196.35/196.51 apply (zenon_L124_); trivial. % 196.35/196.51 (* end of lemma zenon_L339_ *) % 196.35/196.51 assert (zenon_L340_ : (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((op1 (e11) (unit1)) = (e11)) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e11) (e10)) = (e13)) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> ((op1 (unit1) (e11)) = (e11)) -> ((op1 (unit1) (e10)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e12) (e11)) = (e11)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (unit1) (e12)) = (e12)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> False). % 196.35/196.51 do 0 intro. intros zenon_H1b5 zenon_H178 zenon_H237 zenon_H1a3 zenon_H19c zenon_H196 zenon_H197 zenon_H1a7 zenon_H23e zenon_H236 zenon_H192 zenon_H133 zenon_H131 zenon_H104 zenon_H14c zenon_H132 zenon_H143 zenon_H14b zenon_H17e zenon_H1f7 zenon_H1f8 zenon_H121 zenon_H105 zenon_H15b zenon_H10f zenon_H172 zenon_H127 zenon_H11a zenon_H18e zenon_H13a zenon_H185 zenon_H186 zenon_H18b zenon_H111 zenon_H173 zenon_H120 zenon_H13b. % 196.35/196.51 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H177 | zenon_intro zenon_H1b6 ]. % 196.35/196.51 apply (zenon_L150_); trivial. % 196.35/196.51 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H198 | zenon_intro zenon_H1b7 ]. % 196.35/196.51 apply (zenon_L332_); trivial. % 196.35/196.51 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H14d | zenon_intro zenon_H1b1 ]. % 196.35/196.51 apply (zenon_L339_); trivial. % 196.35/196.51 apply (zenon_L273_); trivial. % 196.35/196.51 (* end of lemma zenon_L340_ *) % 196.35/196.51 assert (zenon_L341_ : (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> ((op1 (unit1) (e10)) = (e10)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((op1 (e12) (e12)) = (e11)) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e13)) = (e13)) -> ((op1 (e13) (e11)) = (e13)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> False). % 196.35/196.51 do 0 intro. intros zenon_H127 zenon_H10f zenon_H111 zenon_H133 zenon_H132 zenon_H131 zenon_H14d zenon_H14c zenon_H14b zenon_H13a zenon_H12b zenon_H13b. % 196.35/196.51 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H102 | zenon_intro zenon_H128 ]. % 196.35/196.51 apply (zenon_L110_); trivial. % 196.35/196.51 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H10d | zenon_intro zenon_H129 ]. % 196.35/196.51 apply (zenon_L112_); trivial. % 196.35/196.51 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H118 | zenon_intro zenon_H11f ]. % 196.35/196.51 apply (zenon_L123_); trivial. % 196.35/196.51 apply (zenon_L115_); trivial. % 196.35/196.51 (* end of lemma zenon_L341_ *) % 196.35/196.51 assert (zenon_L342_ : (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op1 (e12) (e12)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((op1 (unit1) (e10)) = (e10)) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (unit1) (e11)) = (e11)) -> ((op1 (e12) (e13)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (unit1) (e12)) = (e12)) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> False). % 196.35/196.51 do 0 intro. intros zenon_H173 zenon_H104 zenon_H106 zenon_H14b zenon_H14d zenon_H131 zenon_H132 zenon_H133 zenon_H111 zenon_H13a zenon_H18b zenon_H14c zenon_H218 zenon_H11a zenon_H127 zenon_H172 zenon_H13b zenon_H10f zenon_H15b zenon_H105 zenon_H120 zenon_H121. % 196.35/196.51 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H110 | zenon_intro zenon_H174 ]. % 196.35/196.51 apply (zenon_L108_); trivial. % 196.35/196.51 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H12b | zenon_intro zenon_H175 ]. % 196.35/196.51 apply (zenon_L341_); trivial. % 196.35/196.51 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H140 | zenon_intro zenon_H15c ]. % 196.35/196.51 apply (zenon_L289_); trivial. % 196.35/196.51 apply (zenon_L133_); trivial. % 196.35/196.51 (* end of lemma zenon_L342_ *) % 196.35/196.51 assert (zenon_L343_ : (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((op1 (e10) (e12)) = (e11)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (e11) (e13)) = (e12)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (unit1) (e11)) = (e11)) -> ((op1 (e12) (e13)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (unit1) (e12)) = (e12)) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> False). % 196.35/196.51 do 0 intro. intros zenon_H173 zenon_H178 zenon_H177 zenon_H17e zenon_H17f zenon_H111 zenon_H13a zenon_H18b zenon_H14c zenon_H218 zenon_H11a zenon_H127 zenon_H172 zenon_H13b zenon_H10f zenon_H15b zenon_H105 zenon_H120 zenon_H121. % 196.35/196.51 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H110 | zenon_intro zenon_H174 ]. % 196.35/196.51 apply (zenon_L136_); trivial. % 196.35/196.51 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H12b | zenon_intro zenon_H175 ]. % 196.35/196.51 apply (zenon_L139_); trivial. % 196.35/196.51 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H140 | zenon_intro zenon_H15c ]. % 196.35/196.51 apply (zenon_L289_); trivial. % 196.35/196.51 apply (zenon_L133_); trivial. % 196.35/196.51 (* end of lemma zenon_L343_ *) % 196.35/196.51 assert (zenon_L344_ : (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> ((op1 (e11) (e10)) = (e13)) -> ((op1 (unit1) (e13)) = (e13)) -> ((op1 (e12) (e13)) = (e11)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> ((op1 (e13) (e12)) = (e11)) -> False). % 196.35/196.51 do 0 intro. intros zenon_H127 zenon_H23e zenon_H10f zenon_H237 zenon_H236 zenon_H13a zenon_H218 zenon_H18b zenon_H121 zenon_H14c zenon_H1b1. % 196.35/196.51 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H102 | zenon_intro zenon_H128 ]. % 196.35/196.51 apply (zenon_L337_); trivial. % 196.35/196.51 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H10d | zenon_intro zenon_H129 ]. % 196.35/196.51 apply (zenon_L329_); trivial. % 196.35/196.51 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H118 | zenon_intro zenon_H11f ]. % 196.35/196.51 apply (zenon_L282_); trivial. % 196.35/196.51 apply (zenon_L170_); trivial. % 196.35/196.51 (* end of lemma zenon_L344_ *) % 196.35/196.51 assert (zenon_L345_ : (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> ((op1 (unit1) (e10)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((op1 (e11) (unit1)) = (e11)) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((e12) = (op1 (e13) (e11))) -> ((op1 (unit1) (e12)) = (e12)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (e11) (e13)) = (e12)) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> ((op1 (e11) (e10)) = (e13)) -> ((op1 (unit1) (e13)) = (e13)) -> ((op1 (e12) (e13)) = (e11)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> False). % 196.35/196.52 do 0 intro. intros zenon_H1b5 zenon_H178 zenon_H15b zenon_H13b zenon_H172 zenon_H11a zenon_H18e zenon_H185 zenon_H186 zenon_H111 zenon_H173 zenon_H131 zenon_H133 zenon_H132 zenon_H143 zenon_H192 zenon_H104 zenon_H1a3 zenon_H19c zenon_H196 zenon_H197 zenon_H1a7 zenon_H120 zenon_H105 zenon_H14b zenon_H17e zenon_H17f zenon_H127 zenon_H23e zenon_H10f zenon_H237 zenon_H236 zenon_H13a zenon_H218 zenon_H18b zenon_H121 zenon_H14c. % 196.35/196.52 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H177 | zenon_intro zenon_H1b6 ]. % 196.35/196.52 apply (zenon_L343_); trivial. % 196.35/196.52 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H198 | zenon_intro zenon_H1b7 ]. % 196.35/196.52 apply (zenon_L166_); trivial. % 196.35/196.52 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H14d | zenon_intro zenon_H1b1 ]. % 196.35/196.52 apply (zenon_L338_); trivial. % 196.35/196.52 apply (zenon_L344_); trivial. % 196.35/196.52 (* end of lemma zenon_L345_ *) % 196.35/196.52 assert (zenon_L346_ : ((op1 (e12) (e11)) = (e13)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e13) (e11))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (unit1) (e12)) = (e12)) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> ((op1 (unit1) (e10)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((op1 (e11) (unit1)) = (e11)) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> ((op1 (e11) (e10)) = (e13)) -> ((op1 (unit1) (e13)) = (e13)) -> ((op1 (e12) (e13)) = (e11)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> False). % 196.35/196.52 do 0 intro. intros zenon_H21d zenon_H13b zenon_H120 zenon_H173 zenon_H111 zenon_H186 zenon_H185 zenon_H18e zenon_H11a zenon_H172 zenon_H15b zenon_H105 zenon_H1b5 zenon_H178 zenon_H131 zenon_H133 zenon_H132 zenon_H143 zenon_H192 zenon_H104 zenon_H1a3 zenon_H19c zenon_H196 zenon_H197 zenon_H1a7 zenon_H14b zenon_H17e zenon_H127 zenon_H23e zenon_H10f zenon_H237 zenon_H236 zenon_H13a zenon_H218 zenon_H18b zenon_H121 zenon_H14c. % 196.35/196.52 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H177 | zenon_intro zenon_H1b6 ]. % 196.35/196.52 apply (zenon_L288_); trivial. % 196.35/196.52 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H198 | zenon_intro zenon_H1b7 ]. % 196.35/196.52 apply (zenon_L292_); trivial. % 196.35/196.52 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H14d | zenon_intro zenon_H1b1 ]. % 196.35/196.52 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H106 | zenon_intro zenon_H193 ]. % 196.35/196.52 apply (zenon_L342_); trivial. % 196.35/196.52 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H17f | zenon_intro zenon_H194 ]. % 196.35/196.52 apply (zenon_L345_); trivial. % 196.35/196.52 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H187 | zenon_intro zenon_H152 ]. % 196.35/196.52 apply (zenon_L149_); trivial. % 196.35/196.52 apply (zenon_L124_); trivial. % 196.35/196.52 apply (zenon_L344_); trivial. % 196.35/196.52 (* end of lemma zenon_L346_ *) % 196.35/196.52 assert (zenon_L347_ : (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((e10) = (e13))) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((op1 (e11) (unit1)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> ((op1 (unit1) (e12)) = (e12)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> ((op1 (unit1) (e10)) = (e10)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (e13) (unit1)) = (e13)) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> False). % 196.35/196.52 do 0 intro. intros zenon_H223 zenon_H20f zenon_H21a zenon_H14c zenon_H18b zenon_H236 zenon_H237 zenon_H23e zenon_H17e zenon_H14b zenon_H1a7 zenon_H197 zenon_H196 zenon_H19c zenon_H1a3 zenon_H104 zenon_H192 zenon_H143 zenon_H178 zenon_H1b5 zenon_H105 zenon_H15b zenon_H172 zenon_H11a zenon_H18e zenon_H185 zenon_H186 zenon_H173 zenon_H120 zenon_H1f7 zenon_H1f4 zenon_H224 zenon_H127 zenon_H111 zenon_H133 zenon_H132 zenon_H131 zenon_H121 zenon_H10f zenon_H13a zenon_H13b. % 196.35/196.52 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H20e | zenon_intro zenon_H225 ]. % 196.35/196.52 apply (zenon_L335_); trivial. % 196.35/196.52 apply (zenon_or_s _ _ zenon_H225); [ zenon_intro zenon_H162 | zenon_intro zenon_H228 ]. % 196.35/196.52 apply (zenon_L284_); trivial. % 196.35/196.52 apply (zenon_or_s _ _ zenon_H228); [ zenon_intro zenon_H21d | zenon_intro zenon_H12b ]. % 196.35/196.52 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H226 ]. % 196.35/196.52 apply (zenon_L269_); trivial. % 196.35/196.52 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_H1f8 | zenon_intro zenon_H227 ]. % 196.35/196.52 apply (zenon_L340_); trivial. % 196.35/196.52 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H14d | zenon_intro zenon_H218 ]. % 196.35/196.52 apply (zenon_L339_); trivial. % 196.35/196.52 apply (zenon_L346_); trivial. % 196.35/196.52 apply (zenon_L116_); trivial. % 196.35/196.52 (* end of lemma zenon_L347_ *) % 196.35/196.52 assert (zenon_L348_ : (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (e12) (e11)) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((op1 (e11) (unit1)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((op1 (unit1) (e10)) = (e10)) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> ((op1 (e12) (e12)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (unit1) (e12)) = (e12)) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> False). % 196.35/196.52 do 0 intro. intros zenon_H173 zenon_H18b zenon_H186 zenon_H185 zenon_H18e zenon_H1f8 zenon_H1f7 zenon_H17e zenon_H143 zenon_H104 zenon_H192 zenon_H1a7 zenon_H197 zenon_H196 zenon_H19c zenon_H1a3 zenon_H178 zenon_H1b5 zenon_H131 zenon_H132 zenon_H133 zenon_H111 zenon_H13a zenon_H14b zenon_H14c zenon_H14d zenon_H11a zenon_H127 zenon_H172 zenon_H13b zenon_H10f zenon_H15b zenon_H105 zenon_H120 zenon_H121. % 196.35/196.52 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H110 | zenon_intro zenon_H174 ]. % 196.35/196.52 apply (zenon_L274_); trivial. % 196.35/196.52 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H12b | zenon_intro zenon_H175 ]. % 196.35/196.52 apply (zenon_L341_); trivial. % 196.35/196.52 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H140 | zenon_intro zenon_H15c ]. % 196.35/196.52 apply (zenon_L191_); trivial. % 196.35/196.52 apply (zenon_L133_); trivial. % 196.35/196.52 (* end of lemma zenon_L348_ *) % 196.35/196.52 assert (zenon_L349_ : (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((op1 (e11) (unit1)) = (e11)) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> ((op1 (unit1) (e11)) = (e11)) -> ((op1 (unit1) (e10)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e12) (e11)) = (e11)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (unit1) (e12)) = (e12)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> False). % 196.35/196.52 do 0 intro. intros zenon_H1b5 zenon_H178 zenon_H1a3 zenon_H19c zenon_H196 zenon_H197 zenon_H1a7 zenon_H192 zenon_H133 zenon_H131 zenon_H104 zenon_H14c zenon_H132 zenon_H143 zenon_H14b zenon_H17e zenon_H1f7 zenon_H1f8 zenon_H121 zenon_H105 zenon_H15b zenon_H10f zenon_H172 zenon_H127 zenon_H11a zenon_H18e zenon_H13a zenon_H185 zenon_H186 zenon_H18b zenon_H111 zenon_H173 zenon_H120 zenon_H13b. % 196.35/196.52 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H177 | zenon_intro zenon_H1b6 ]. % 196.35/196.52 apply (zenon_L150_); trivial. % 196.35/196.52 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H198 | zenon_intro zenon_H1b7 ]. % 196.35/196.52 apply (zenon_L166_); trivial. % 196.35/196.52 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H14d | zenon_intro zenon_H1b1 ]. % 196.35/196.52 apply (zenon_L348_); trivial. % 196.35/196.52 apply (zenon_L273_); trivial. % 196.35/196.52 (* end of lemma zenon_L349_ *) % 196.35/196.52 assert (zenon_L350_ : (~((h8 (op1 (e10) (e12))) = (h8 (e12)))) -> ((op1 (e10) (e12)) = (e12)) -> False). % 196.35/196.52 do 0 intro. intros zenon_H240 zenon_H241. % 196.35/196.52 cut (((op1 (e10) (e12)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H242]. % 196.35/196.52 congruence. % 196.35/196.52 exact (zenon_H242 zenon_H241). % 196.35/196.52 (* end of lemma zenon_L350_ *) % 196.35/196.52 assert (zenon_L351_ : (((op2 (e20) (e20)) = (e20))/\(((op2 (e21) (e21)) = (e20))/\(((op2 (e22) (e22)) = (e20))/\((op2 (e23) (e23)) = (e20))))) -> (~((h8 (e10)) = (e20))) -> ((h8 (e10)) = (op2 (e22) (e22))) -> False). % 196.35/196.52 do 0 intro. intros zenon_H90 zenon_Hef zenon_Hf0. % 196.35/196.52 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H92. zenon_intro zenon_H91. % 196.35/196.52 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H94. zenon_intro zenon_H93. % 196.35/196.52 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_H6f. zenon_intro zenon_H95. % 196.35/196.52 apply (zenon_L94_); trivial. % 196.35/196.52 (* end of lemma zenon_L351_ *) % 196.35/196.52 assert (zenon_L352_ : (~((h8 (e12)) = (e23))) -> ((h8 (e12)) = (op2 (e21) (e22))) -> ((op2 (e21) (e22)) = (e23)) -> False). % 196.35/196.52 do 0 intro. intros zenon_H243 zenon_H244 zenon_H245. % 196.35/196.52 cut (((h8 (e12)) = (op2 (e21) (e22))) = ((h8 (e12)) = (e23))). % 196.35/196.52 intro zenon_D_pnotp. % 196.35/196.52 apply zenon_H243. % 196.35/196.52 rewrite <- zenon_D_pnotp. % 196.35/196.52 exact zenon_H244. % 196.35/196.52 cut (((op2 (e21) (e22)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H246]. % 196.35/196.52 cut (((h8 (e12)) = (h8 (e12)))); [idtac | apply NNPP; zenon_intro zenon_H247]. % 196.35/196.52 congruence. % 196.35/196.52 apply zenon_H247. apply refl_equal. % 196.35/196.52 exact (zenon_H246 zenon_H245). % 196.35/196.52 (* end of lemma zenon_L352_ *) % 196.35/196.52 assert (zenon_L353_ : (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> ((op2 (unit2) (e20)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (e22) (e22)) = (e21)) -> ((op2 (unit2) (e21)) = (e21)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e23)) = (e23)) -> ((op2 (e23) (e21)) = (e23)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> False). % 196.35/196.52 do 0 intro. intros zenon_H49 zenon_H54 zenon_H56 zenon_H2c zenon_H2a zenon_H29 zenon_H78 zenon_H77 zenon_H76 zenon_H20 zenon_H61 zenon_H67. % 196.35/196.52 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H1e | zenon_intro zenon_H4a ]. % 196.35/196.52 apply (zenon_L19_); trivial. % 196.35/196.52 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2b | zenon_intro zenon_H4b ]. % 196.35/196.52 apply (zenon_L5_); trivial. % 196.35/196.52 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H3f ]. % 196.35/196.52 apply (zenon_L30_); trivial. % 196.35/196.52 apply (zenon_L22_); trivial. % 196.35/196.52 (* end of lemma zenon_L353_ *) % 196.35/196.52 assert (zenon_L354_ : (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e21) (e23)) = (e23)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (unit2) (e20)) = (e20)) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (unit2) (e23)) = (e23)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e21)) = (e21)) -> ((op2 (e22) (e22)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((op2 (unit2) (e22)) = (e22)) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> False). % 196.35/196.52 do 0 intro. intros zenon_H9f zenon_H1d4 zenon_H1d5 zenon_H29 zenon_H2a zenon_H2c zenon_H56 zenon_H20 zenon_H76 zenon_H77 zenon_H78 zenon_H5d zenon_H49 zenon_H9e zenon_H67 zenon_H54 zenon_H86 zenon_H37 zenon_H40 zenon_H41. % 196.35/196.52 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H55 | zenon_intro zenon_Ha0 ]. % 196.35/196.52 apply (zenon_L300_); trivial. % 196.35/196.52 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_H61 | zenon_intro zenon_Ha1 ]. % 196.35/196.52 apply (zenon_L353_); trivial. % 196.35/196.52 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H6c | zenon_intro zenon_H87 ]. % 196.35/196.52 apply (zenon_L85_); trivial. % 196.35/196.52 apply (zenon_L40_); trivial. % 196.35/196.52 (* end of lemma zenon_L354_ *) % 196.35/196.52 assert (zenon_L355_ : (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e20)) = (e20)) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> ((op2 (e23) (e22)) = (e21)) -> ((op2 (unit2) (e21)) = (e21)) -> ((op2 (e22) (e20)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e21) (e23)) = (e23)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (unit2) (e22)) = (e22)) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((op2 (unit2) (e23)) = (e23)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e22) (unit2)) = (e22)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> False). % 196.35/196.52 do 0 intro. intros zenon_Hb6 zenon_H76 zenon_H2a zenon_H2c zenon_H29 zenon_H4d zenon_Hdb zenon_H77 zenon_H38 zenon_H39 zenon_Ha9 zenon_H1d4 zenon_H1d5 zenon_H41 zenon_H37 zenon_H86 zenon_H54 zenon_H9e zenon_H49 zenon_H5d zenon_Hb5 zenon_H20 zenon_Haf zenon_Ha4 zenon_Hb3 zenon_H56 zenon_H9f zenon_H40 zenon_H67. % 196.35/196.52 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_H4e | zenon_intro zenon_Hb7 ]. % 196.35/196.52 apply (zenon_L41_); trivial. % 196.35/196.52 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_Haa | zenon_intro zenon_Hb8 ]. % 196.35/196.52 apply (zenon_L206_); trivial. % 196.35/196.52 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H7d ]. % 196.35/196.52 apply (zenon_L55_); trivial. % 196.35/196.52 apply (zenon_L31_); trivial. % 196.35/196.52 (* end of lemma zenon_L355_ *) % 196.35/196.52 assert (zenon_L356_ : (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> ((op2 (e21) (e23)) = (e23)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> ((op2 (e23) (e22)) = (e21)) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> ((op2 (unit2) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e21)) = (e21)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((op2 (e22) (unit2)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (unit2) (e23)) = (e23)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((op2 (unit2) (e22)) = (e22)) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> False). % 196.35/196.52 do 0 intro. intros zenon_Hba zenon_H1d5 zenon_H1d4 zenon_Ha3 zenon_H29 zenon_H2c zenon_Hdb zenon_Ha9 zenon_H2a zenon_H39 zenon_H77 zenon_H76 zenon_H4d zenon_Hb6 zenon_H9f zenon_H56 zenon_Hb3 zenon_Ha4 zenon_Haf zenon_H20 zenon_Hb5 zenon_H5d zenon_H49 zenon_H9e zenon_H67 zenon_H54 zenon_H86 zenon_H37 zenon_H40 zenon_H41. % 196.35/196.52 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H38 | zenon_intro zenon_Hbb ]. % 196.35/196.52 apply (zenon_L355_); trivial. % 196.35/196.52 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_Ha5 | zenon_intro zenon_Hbc ]. % 196.35/196.52 apply (zenon_L56_); trivial. % 196.35/196.52 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H85 | zenon_intro zenon_Hb0 ]. % 196.35/196.52 apply (zenon_L227_); trivial. % 196.35/196.52 apply (zenon_L55_); trivial. % 196.35/196.52 (* end of lemma zenon_L356_ *) % 196.35/196.52 assert (zenon_L357_ : (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((op2 (e21) (unit2)) = (e21)) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> ((op2 (e21) (e23)) = (e23)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> ((op2 (unit2) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e21)) = (e21)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((op2 (e22) (unit2)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (unit2) (e23)) = (e23)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((op2 (unit2) (e22)) = (e22)) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> False). % 196.35/196.52 do 0 intro. intros zenon_Hdf zenon_Hc1 zenon_Hd4 zenon_Hce zenon_Hcf zenon_Hba zenon_H1d5 zenon_H1d4 zenon_Ha3 zenon_H29 zenon_H2c zenon_Ha9 zenon_H2a zenon_H39 zenon_H77 zenon_H76 zenon_H4d zenon_Hb6 zenon_H9f zenon_H56 zenon_Hb3 zenon_Ha4 zenon_Haf zenon_H20 zenon_Hb5 zenon_H5d zenon_H49 zenon_H9e zenon_H67 zenon_H54 zenon_H86 zenon_H37 zenon_H40 zenon_H41. % 196.35/196.52 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_Hc0 | zenon_intro zenon_He0 ]. % 196.35/196.52 apply (zenon_L218_); trivial. % 196.35/196.52 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hd0 | zenon_intro zenon_He1 ]. % 196.35/196.52 apply (zenon_L79_); trivial. % 196.35/196.52 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_H78 | zenon_intro zenon_Hdb ]. % 196.35/196.52 apply (zenon_L354_); trivial. % 196.35/196.52 apply (zenon_L356_); trivial. % 196.35/196.52 (* end of lemma zenon_L357_ *) % 196.35/196.52 assert (zenon_L358_ : (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((e20) = (e23))) -> ((h8 (e12)) = (op2 (e21) (e22))) -> (~((h8 (e12)) = (e23))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((op2 (e21) (unit2)) = (e21)) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> ((op2 (unit2) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e21)) = (e21)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((op2 (e22) (unit2)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (unit2) (e23)) = (e23)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((op2 (unit2) (e22)) = (e22)) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> False). % 196.35/196.52 do 0 intro. intros zenon_H248 zenon_H1de zenon_Hd8 zenon_H1d9 zenon_H1cd zenon_H1d1 zenon_H234 zenon_H22d zenon_H22 zenon_H1ca zenon_Hbd zenon_H244 zenon_H243 zenon_Hdf zenon_Hc1 zenon_Hd4 zenon_Hce zenon_Hcf zenon_Hba zenon_H1d4 zenon_Ha3 zenon_H29 zenon_H2c zenon_Ha9 zenon_H2a zenon_H39 zenon_H77 zenon_H76 zenon_H4d zenon_Hb6 zenon_H9f zenon_H56 zenon_Hb3 zenon_Ha4 zenon_Haf zenon_H20 zenon_Hb5 zenon_H5d zenon_H49 zenon_H9e zenon_H67 zenon_H54 zenon_H86 zenon_H37 zenon_H40 zenon_H41. % 196.35/196.52 apply (zenon_or_s _ _ zenon_H248); [ zenon_intro zenon_H22c | zenon_intro zenon_H249 ]. % 196.35/196.52 apply (zenon_L322_); trivial. % 196.35/196.52 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_H8d | zenon_intro zenon_H24a ]. % 196.35/196.52 apply (zenon_L65_); trivial. % 196.35/196.52 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_H245 | zenon_intro zenon_H1d5 ]. % 196.35/196.52 apply (zenon_L352_); trivial. % 196.35/196.52 apply (zenon_L357_); trivial. % 196.35/196.52 (* end of lemma zenon_L358_ *) % 196.35/196.52 assert (zenon_L359_ : (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((e20) = (e23))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (unit2) (e22)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((e20) = (op2 (e21) (e21))) -> ((op2 (unit2) (e20)) = (e20)) -> ((op2 (unit2) (e23)) = (e23)) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((op2 (e22) (unit2)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> ((op2 (unit2) (e21)) = (e21)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> ((h8 (e12)) = (op2 (e21) (e22))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> ((h8 (e10)) = (op2 (e22) (e22))) -> ((op2 (e21) (e22)) = (e23)) -> ((op2 (e20) (e23)) = (e23)) -> ((op1 (e10) (e12)) = (e12)) -> (~((h8 (op1 (e10) (e12))) = (op2 (h8 (e10)) (h8 (e12))))) -> ((op2 (e21) (unit2)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (e23) (unit2)) = (e23)) -> ((unit2) = (e20)) -> False). % 196.35/196.52 do 0 intro. intros zenon_H1ca zenon_Hdf zenon_Hd8 zenon_Hd4 zenon_Hce zenon_Hc1 zenon_H1d9 zenon_H1d4 zenon_H1cd zenon_H1d1 zenon_H234 zenon_H1de zenon_H22d zenon_Hbd zenon_H49 zenon_H41 zenon_H37 zenon_H39 zenon_H2c zenon_H2a zenon_H20 zenon_H22 zenon_Hb6 zenon_Haf zenon_Hb3 zenon_Hb5 zenon_Ha4 zenon_Ha3 zenon_Ha9 zenon_H5d zenon_H56 zenon_H4d zenon_H77 zenon_H76 zenon_H86 zenon_H9f zenon_Hba zenon_H244 zenon_H248 zenon_Hf0 zenon_H245 zenon_H1d0 zenon_H241 zenon_H24b zenon_Hcf zenon_H29 zenon_H67 zenon_H40 zenon_H9e zenon_H54 zenon_H1e. % 196.35/196.52 apply (zenon_or_s _ _ ax13); [ zenon_intro zenon_H90 | zenon_intro zenon_H8f ]. % 196.35/196.52 cut (((h8 (e12)) = (op2 (e21) (e22))) = ((h8 (op1 (e10) (e12))) = (op2 (h8 (e10)) (h8 (e12))))). % 196.35/196.52 intro zenon_D_pnotp. % 196.35/196.52 apply zenon_H24b. % 196.35/196.52 rewrite <- zenon_D_pnotp. % 196.35/196.52 exact zenon_H244. % 196.35/196.52 cut (((op2 (e21) (e22)) = (op2 (h8 (e10)) (h8 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H24c]. % 196.35/196.52 cut (((h8 (e12)) = (h8 (op1 (e10) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H24d]. % 196.35/196.52 congruence. % 196.35/196.52 elim (classic ((h8 (op1 (e10) (e12))) = (h8 (op1 (e10) (e12))))); [ zenon_intro zenon_H24e | zenon_intro zenon_H24f ]. % 196.35/196.52 cut (((h8 (op1 (e10) (e12))) = (h8 (op1 (e10) (e12)))) = ((h8 (e12)) = (h8 (op1 (e10) (e12))))). % 196.35/196.52 intro zenon_D_pnotp. % 196.35/196.52 apply zenon_H24d. % 196.35/196.52 rewrite <- zenon_D_pnotp. % 196.35/196.52 exact zenon_H24e. % 196.35/196.52 cut (((h8 (op1 (e10) (e12))) = (h8 (op1 (e10) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H24f]. % 196.35/196.52 cut (((h8 (op1 (e10) (e12))) = (h8 (e12)))); [idtac | apply NNPP; zenon_intro zenon_H240]. % 196.35/196.52 congruence. % 196.35/196.52 apply (zenon_L350_); trivial. % 196.35/196.52 apply zenon_H24f. apply refl_equal. % 196.35/196.52 apply zenon_H24f. apply refl_equal. % 196.35/196.52 elim (classic ((op2 (h8 (e10)) (h8 (e12))) = (op2 (h8 (e10)) (h8 (e12))))); [ zenon_intro zenon_H250 | zenon_intro zenon_H251 ]. % 196.35/196.52 cut (((op2 (h8 (e10)) (h8 (e12))) = (op2 (h8 (e10)) (h8 (e12)))) = ((op2 (e21) (e22)) = (op2 (h8 (e10)) (h8 (e12))))). % 196.35/196.52 intro zenon_D_pnotp. % 196.35/196.52 apply zenon_H24c. % 196.35/196.52 rewrite <- zenon_D_pnotp. % 196.35/196.52 exact zenon_H250. % 196.35/196.52 cut (((op2 (h8 (e10)) (h8 (e12))) = (op2 (h8 (e10)) (h8 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H251]. % 196.35/196.52 cut (((op2 (h8 (e10)) (h8 (e12))) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H252]. % 196.35/196.52 congruence. % 196.35/196.52 cut (((op2 (e20) (e23)) = (e23)) = ((op2 (h8 (e10)) (h8 (e12))) = (op2 (e21) (e22)))). % 196.35/196.52 intro zenon_D_pnotp. % 196.35/196.52 apply zenon_H252. % 196.35/196.52 rewrite <- zenon_D_pnotp. % 196.35/196.52 exact zenon_H1d0. % 196.35/196.52 cut (((e23) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H253]. % 196.35/196.52 cut (((op2 (e20) (e23)) = (op2 (h8 (e10)) (h8 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H254]. % 196.35/196.52 congruence. % 196.35/196.52 elim (classic ((op2 (h8 (e10)) (h8 (e12))) = (op2 (h8 (e10)) (h8 (e12))))); [ zenon_intro zenon_H250 | zenon_intro zenon_H251 ]. % 196.35/196.52 cut (((op2 (h8 (e10)) (h8 (e12))) = (op2 (h8 (e10)) (h8 (e12)))) = ((op2 (e20) (e23)) = (op2 (h8 (e10)) (h8 (e12))))). % 196.35/196.52 intro zenon_D_pnotp. % 196.35/196.52 apply zenon_H254. % 196.35/196.52 rewrite <- zenon_D_pnotp. % 196.35/196.52 exact zenon_H250. % 196.35/196.52 cut (((op2 (h8 (e10)) (h8 (e12))) = (op2 (h8 (e10)) (h8 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H251]. % 196.35/196.52 cut (((op2 (h8 (e10)) (h8 (e12))) = (op2 (e20) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H255]. % 196.35/196.52 congruence. % 196.35/196.52 cut (((h8 (e12)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H243]. % 196.35/196.52 cut (((h8 (e10)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_Hef]. % 196.35/196.52 congruence. % 196.35/196.52 apply (zenon_L351_); trivial. % 196.35/196.52 apply (zenon_L358_); trivial. % 196.35/196.52 apply zenon_H251. apply refl_equal. % 196.35/196.52 apply zenon_H251. apply refl_equal. % 196.35/196.52 apply zenon_H253. apply sym_equal. exact zenon_H245. % 196.35/196.52 apply zenon_H251. apply refl_equal. % 196.35/196.52 apply zenon_H251. apply refl_equal. % 196.35/196.52 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H97 | zenon_intro zenon_H96 ]. % 196.35/196.52 apply (zenon_L91_); trivial. % 196.35/196.52 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H80 | zenon_intro zenon_H89 ]. % 196.35/196.52 apply (zenon_L32_); trivial. % 196.35/196.52 apply (zenon_L92_); trivial. % 196.35/196.52 (* end of lemma zenon_L359_ *) % 196.35/196.52 assert (zenon_L360_ : ((op1 (unit1) (e13)) = (e13)) -> ((unit1) = (e12)) -> ((op1 (e12) (e10)) = (e13)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> False). % 196.35/196.52 do 0 intro. intros zenon_H13a zenon_H118 zenon_H256 zenon_H185. % 196.35/196.52 elim (classic ((op1 (e12) (e13)) = (op1 (e12) (e13)))); [ zenon_intro zenon_H21e | zenon_intro zenon_H21f ]. % 196.35/196.52 cut (((op1 (e12) (e13)) = (op1 (e12) (e13))) = ((op1 (e12) (e10)) = (op1 (e12) (e13)))). % 196.35/196.52 intro zenon_D_pnotp. % 196.35/196.52 apply zenon_H185. % 196.35/196.52 rewrite <- zenon_D_pnotp. % 196.35/196.52 exact zenon_H21e. % 196.35/196.52 cut (((op1 (e12) (e13)) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H21f]. % 196.35/196.52 cut (((op1 (e12) (e13)) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H257]. % 196.35/196.52 congruence. % 196.35/196.52 cut (((op1 (unit1) (e13)) = (e13)) = ((op1 (e12) (e13)) = (op1 (e12) (e10)))). % 196.35/196.52 intro zenon_D_pnotp. % 196.35/196.52 apply zenon_H257. % 196.35/196.52 rewrite <- zenon_D_pnotp. % 196.35/196.52 exact zenon_H13a. % 196.35/196.52 cut (((e13) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H258]. % 196.35/196.52 cut (((op1 (unit1) (e13)) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H222]. % 196.35/196.52 congruence. % 196.35/196.52 elim (classic ((op1 (e12) (e13)) = (op1 (e12) (e13)))); [ zenon_intro zenon_H21e | zenon_intro zenon_H21f ]. % 196.35/196.52 cut (((op1 (e12) (e13)) = (op1 (e12) (e13))) = ((op1 (unit1) (e13)) = (op1 (e12) (e13)))). % 196.35/196.52 intro zenon_D_pnotp. % 196.35/196.52 apply zenon_H222. % 196.35/196.52 rewrite <- zenon_D_pnotp. % 196.35/196.52 exact zenon_H21e. % 196.35/196.52 cut (((op1 (e12) (e13)) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H21f]. % 196.35/196.52 cut (((op1 (e12) (e13)) = (op1 (unit1) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H21c]. % 196.35/196.52 congruence. % 196.35/196.52 apply (zenon_L285_); trivial. % 196.35/196.52 apply zenon_H21f. apply refl_equal. % 196.35/196.52 apply zenon_H21f. apply refl_equal. % 196.35/196.52 apply zenon_H258. apply sym_equal. exact zenon_H256. % 196.35/196.52 apply zenon_H21f. apply refl_equal. % 196.35/196.52 apply zenon_H21f. apply refl_equal. % 196.35/196.52 (* end of lemma zenon_L360_ *) % 196.35/196.52 assert (zenon_L361_ : (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> ((op1 (e10) (e13)) = (e12)) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> ((e10) = (op1 (e11) (e11))) -> ((op1 (unit1) (e10)) = (e10)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e12) (e10)) = (e13)) -> ((op1 (unit1) (e13)) = (e13)) -> ((op1 (unit1) (e12)) = (e12)) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> False). % 196.35/196.52 do 0 intro. intros zenon_H127 zenon_H106 zenon_H104 zenon_H133 zenon_H132 zenon_H131 zenon_H185 zenon_H256 zenon_H13a zenon_H105 zenon_H120 zenon_H121. % 196.35/196.52 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H102 | zenon_intro zenon_H128 ]. % 196.35/196.52 apply (zenon_L101_); trivial. % 196.35/196.52 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H10d | zenon_intro zenon_H129 ]. % 196.35/196.52 apply (zenon_L112_); trivial. % 196.35/196.52 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H118 | zenon_intro zenon_H11f ]. % 196.35/196.52 apply (zenon_L360_); trivial. % 196.35/196.52 apply (zenon_L107_); trivial. % 196.35/196.52 (* end of lemma zenon_L361_ *) % 196.35/196.52 assert (zenon_L362_ : (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e13) (e10)) = (e13)) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e12) (e10)) = (e13)) -> ((op1 (unit1) (e13)) = (e13)) -> ((op1 (unit1) (e12)) = (e12)) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> False). % 196.35/196.52 do 0 intro. intros zenon_H127 zenon_H259 zenon_H111 zenon_H110 zenon_H10f zenon_H185 zenon_H256 zenon_H13a zenon_H105 zenon_H120 zenon_H121. % 196.35/196.52 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H102 | zenon_intro zenon_H128 ]. % 196.35/196.52 elim (classic ((op1 (e13) (e10)) = (op1 (e13) (e10)))); [ zenon_intro zenon_H12e | zenon_intro zenon_H12f ]. % 196.35/196.52 cut (((op1 (e13) (e10)) = (op1 (e13) (e10))) = ((op1 (e12) (e10)) = (op1 (e13) (e10)))). % 196.35/196.52 intro zenon_D_pnotp. % 196.35/196.52 apply zenon_H259. % 196.35/196.52 rewrite <- zenon_D_pnotp. % 196.35/196.52 exact zenon_H12e. % 196.35/196.52 cut (((op1 (e13) (e10)) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H12f]. % 196.35/196.52 cut (((op1 (e13) (e10)) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H25a]. % 196.35/196.52 congruence. % 196.35/196.52 cut (((op1 (e13) (unit1)) = (e13)) = ((op1 (e13) (e10)) = (op1 (e12) (e10)))). % 196.35/196.52 intro zenon_D_pnotp. % 196.35/196.52 apply zenon_H25a. % 196.35/196.52 rewrite <- zenon_D_pnotp. % 196.35/196.52 exact zenon_H10f. % 196.35/196.52 cut (((e13) = (op1 (e12) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H258]. % 196.35/196.52 cut (((op1 (e13) (unit1)) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H12d]. % 196.35/196.52 congruence. % 196.35/196.52 elim (classic ((op1 (e13) (e10)) = (op1 (e13) (e10)))); [ zenon_intro zenon_H12e | zenon_intro zenon_H12f ]. % 196.35/196.52 cut (((op1 (e13) (e10)) = (op1 (e13) (e10))) = ((op1 (e13) (unit1)) = (op1 (e13) (e10)))). % 196.35/196.52 intro zenon_D_pnotp. % 196.35/196.52 apply zenon_H12d. % 196.35/196.52 rewrite <- zenon_D_pnotp. % 196.35/196.52 exact zenon_H12e. % 196.35/196.52 cut (((op1 (e13) (e10)) = (op1 (e13) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H12f]. % 196.35/196.52 cut (((op1 (e13) (e10)) = (op1 (e13) (unit1)))); [idtac | apply NNPP; zenon_intro zenon_H12a]. % 196.35/196.52 congruence. % 196.35/196.52 apply (zenon_L109_); trivial. % 196.35/196.52 apply zenon_H12f. apply refl_equal. % 196.35/196.52 apply zenon_H12f. apply refl_equal. % 196.35/196.52 apply zenon_H258. apply sym_equal. exact zenon_H256. % 196.35/196.52 apply zenon_H12f. apply refl_equal. % 196.35/196.52 apply zenon_H12f. apply refl_equal. % 196.35/196.52 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H10d | zenon_intro zenon_H129 ]. % 196.35/196.52 apply (zenon_L104_); trivial. % 196.35/196.52 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H118 | zenon_intro zenon_H11f ]. % 196.35/196.52 apply (zenon_L360_); trivial. % 196.35/196.52 apply (zenon_L107_); trivial. % 196.35/196.52 (* end of lemma zenon_L362_ *) % 196.35/196.52 assert (zenon_L363_ : (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((op1 (e12) (e10)) = (e13)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (e11) (e13)) = (e12)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> ((op1 (e12) (e12)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (unit1) (e12)) = (e12)) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> False). % 196.35/196.52 do 0 intro. intros zenon_H173 zenon_H256 zenon_H185 zenon_H259 zenon_H17e zenon_H17f zenon_H111 zenon_H13a zenon_H14b zenon_H14c zenon_H14d zenon_H11a zenon_H127 zenon_H172 zenon_H13b zenon_H10f zenon_H15b zenon_H105 zenon_H120 zenon_H121. % 196.35/196.52 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H110 | zenon_intro zenon_H174 ]. % 196.35/196.52 apply (zenon_L362_); trivial. % 196.35/196.52 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H12b | zenon_intro zenon_H175 ]. % 196.35/196.52 apply (zenon_L139_); trivial. % 196.35/196.52 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H140 | zenon_intro zenon_H15c ]. % 196.35/196.52 apply (zenon_L191_); trivial. % 196.35/196.52 apply (zenon_L133_); trivial. % 196.35/196.52 (* end of lemma zenon_L363_ *) % 196.35/196.52 assert (zenon_L364_ : (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((op1 (unit1) (e10)) = (e10)) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> ((op1 (e12) (e12)) = (e11)) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e12) (e10)) = (e13)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (unit1) (e12)) = (e12)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> False). % 196.35/196.52 do 0 intro. intros zenon_H192 zenon_H131 zenon_H132 zenon_H133 zenon_H104 zenon_H14d zenon_H14c zenon_H14b zenon_H17e zenon_H259 zenon_H256 zenon_H121 zenon_H105 zenon_H15b zenon_H10f zenon_H172 zenon_H127 zenon_H11a zenon_H18e zenon_H13a zenon_H185 zenon_H186 zenon_H18b zenon_H111 zenon_H173 zenon_H120 zenon_H13b. % 196.35/196.52 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H106 | zenon_intro zenon_H193 ]. % 196.35/196.52 apply (zenon_L361_); trivial. % 196.35/196.52 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H17f | zenon_intro zenon_H194 ]. % 196.35/196.52 apply (zenon_L363_); trivial. % 196.35/196.52 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H187 | zenon_intro zenon_H152 ]. % 196.35/196.52 apply (zenon_L149_); trivial. % 196.35/196.52 apply (zenon_L124_); trivial. % 196.35/196.52 (* end of lemma zenon_L364_ *) % 196.35/196.52 assert (zenon_L365_ : (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((op1 (unit1) (e12)) = (e12)) -> ((unit1) = (e10)) -> ((op1 (e11) (e12)) = (e12)) -> False). % 196.35/196.52 do 0 intro. intros zenon_H25b zenon_H105 zenon_H102 zenon_H25c. % 196.35/196.52 cut (((op1 (unit1) (e12)) = (e12)) = ((op1 (e10) (e12)) = (op1 (e11) (e12)))). % 196.35/196.52 intro zenon_D_pnotp. % 196.35/196.52 apply zenon_H25b. % 196.35/196.52 rewrite <- zenon_D_pnotp. % 196.35/196.52 exact zenon_H105. % 196.35/196.52 cut (((e12) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H25d]. % 196.35/196.52 cut (((op1 (unit1) (e12)) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H108]. % 196.35/196.52 congruence. % 196.35/196.52 elim (classic ((op1 (e10) (e12)) = (op1 (e10) (e12)))); [ zenon_intro zenon_H109 | zenon_intro zenon_H10a ]. % 196.35/196.52 cut (((op1 (e10) (e12)) = (op1 (e10) (e12))) = ((op1 (unit1) (e12)) = (op1 (e10) (e12)))). % 196.35/196.52 intro zenon_D_pnotp. % 196.35/196.52 apply zenon_H108. % 196.35/196.52 rewrite <- zenon_D_pnotp. % 196.35/196.52 exact zenon_H109. % 196.35/196.52 cut (((op1 (e10) (e12)) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H10a]. % 196.35/196.52 cut (((op1 (e10) (e12)) = (op1 (unit1) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H101]. % 196.35/196.52 congruence. % 196.35/196.52 apply (zenon_L100_); trivial. % 196.35/196.52 apply zenon_H10a. apply refl_equal. % 196.35/196.52 apply zenon_H10a. apply refl_equal. % 196.35/196.52 apply zenon_H25d. apply sym_equal. exact zenon_H25c. % 196.35/196.52 (* end of lemma zenon_L365_ *) % 196.35/196.52 assert (zenon_L366_ : (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> ((op1 (e11) (e12)) = (e12)) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e13) (e10)) = (e13)) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (e12) (e11)) = (e13)) -> ((op1 (unit1) (e13)) = (e13)) -> ((op1 (unit1) (e12)) = (e12)) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> False). % 196.35/196.52 do 0 intro. intros zenon_H127 zenon_H25c zenon_H25b zenon_H111 zenon_H110 zenon_H10f zenon_H18b zenon_H21d zenon_H13a zenon_H105 zenon_H120 zenon_H121. % 196.35/196.52 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H102 | zenon_intro zenon_H128 ]. % 196.35/196.52 apply (zenon_L365_); trivial. % 196.35/196.52 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H10d | zenon_intro zenon_H129 ]. % 196.35/196.52 apply (zenon_L104_); trivial. % 196.35/196.52 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H118 | zenon_intro zenon_H11f ]. % 196.35/196.52 apply (zenon_L286_); trivial. % 196.35/196.52 apply (zenon_L107_); trivial. % 196.35/196.52 (* end of lemma zenon_L366_ *) % 196.35/196.52 assert (zenon_L367_ : (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (e12)) = (e13)) -> ((op1 (e12) (e12)) = (e13)) -> False). % 196.35/196.52 do 0 intro. intros zenon_H25e zenon_H25f zenon_H163. % 196.35/196.52 cut (((op1 (e11) (e12)) = (e13)) = ((op1 (e11) (e12)) = (op1 (e12) (e12)))). % 196.35/196.52 intro zenon_D_pnotp. % 196.35/196.52 apply zenon_H25e. % 196.35/196.52 rewrite <- zenon_D_pnotp. % 196.35/196.52 exact zenon_H25f. % 196.35/196.52 cut (((e13) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H260]. % 196.35/196.52 cut (((op1 (e11) (e12)) = (op1 (e11) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H183]. % 196.35/196.52 congruence. % 196.35/196.52 apply zenon_H183. apply refl_equal. % 196.35/196.52 apply zenon_H260. apply sym_equal. exact zenon_H163. % 196.35/196.52 (* end of lemma zenon_L367_ *) % 196.35/196.52 assert (zenon_L368_ : (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (unit1) (e13)) = (e13)) -> ((unit1) = (e10)) -> ((op1 (e12) (e13)) = (e13)) -> False). % 196.35/196.52 do 0 intro. intros zenon_H261 zenon_H13a zenon_H102 zenon_H262. % 196.35/196.52 cut (((op1 (unit1) (e13)) = (e13)) = ((op1 (e10) (e13)) = (op1 (e12) (e13)))). % 196.35/196.52 intro zenon_D_pnotp. % 196.35/196.52 apply zenon_H261. % 196.35/196.52 rewrite <- zenon_D_pnotp. % 196.35/196.52 exact zenon_H13a. % 196.35/196.52 cut (((e13) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H263]. % 196.35/196.52 cut (((op1 (unit1) (e13)) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H214]. % 196.35/196.52 congruence. % 196.35/196.52 elim (classic ((op1 (e10) (e13)) = (op1 (e10) (e13)))); [ zenon_intro zenon_H210 | zenon_intro zenon_H211 ]. % 196.35/196.52 cut (((op1 (e10) (e13)) = (op1 (e10) (e13))) = ((op1 (unit1) (e13)) = (op1 (e10) (e13)))). % 196.35/196.52 intro zenon_D_pnotp. % 196.35/196.52 apply zenon_H214. % 196.35/196.52 rewrite <- zenon_D_pnotp. % 196.35/196.52 exact zenon_H210. % 196.35/196.52 cut (((op1 (e10) (e13)) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H211]. % 196.35/196.52 cut (((op1 (e10) (e13)) = (op1 (unit1) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H20d]. % 196.35/196.52 congruence. % 196.35/196.52 apply (zenon_L277_); trivial. % 196.35/196.52 apply zenon_H211. apply refl_equal. % 196.35/196.52 apply zenon_H211. apply refl_equal. % 196.35/196.52 apply zenon_H263. apply sym_equal. exact zenon_H262. % 196.35/196.52 (* end of lemma zenon_L368_ *) % 196.35/196.52 assert (zenon_L369_ : (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> ((op1 (e12) (e13)) = (e13)) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e11) (e13)) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (e12) (e12)) = (e11)) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e12)) = (e12)) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> False). % 196.35/196.52 do 0 intro. intros zenon_H127 zenon_H262 zenon_H13a zenon_H261 zenon_H17f zenon_H17e zenon_H14d zenon_H14c zenon_H14b zenon_H105 zenon_H120 zenon_H121. % 196.35/196.52 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H102 | zenon_intro zenon_H128 ]. % 196.35/196.52 apply (zenon_L368_); trivial. % 196.35/196.52 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H10d | zenon_intro zenon_H129 ]. % 196.35/196.52 apply (zenon_L138_); trivial. % 196.35/196.52 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H118 | zenon_intro zenon_H11f ]. % 196.35/196.52 apply (zenon_L123_); trivial. % 196.35/196.52 apply (zenon_L107_); trivial. % 196.35/196.52 (* end of lemma zenon_L369_ *) % 196.35/196.52 assert (zenon_L370_ : (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e10) = (op1 (e11) (e11))) -> ((op1 (unit1) (e10)) = (e10)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> ((op1 (e12) (e12)) = (e11)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (unit1) (e13)) = (e13)) -> ((op1 (e12) (e13)) = (e13)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (unit1) (e12)) = (e12)) -> ((op1 (e13) (unit1)) = (e13)) -> ((op1 (e13) (e10)) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> False). % 196.35/196.52 do 0 intro. intros zenon_H192 zenon_H15b zenon_H172 zenon_H133 zenon_H132 zenon_H131 zenon_H104 zenon_H173 zenon_H14b zenon_H14c zenon_H14d zenon_H17e zenon_H261 zenon_H13a zenon_H262 zenon_H121 zenon_H105 zenon_H10f zenon_H110 zenon_H11a zenon_H111 zenon_H185 zenon_H186 zenon_H127 zenon_H120 zenon_H13b. % 196.35/196.52 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H106 | zenon_intro zenon_H193 ]. % 196.35/196.52 apply (zenon_L336_); trivial. % 196.35/196.52 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H17f | zenon_intro zenon_H194 ]. % 196.35/196.52 apply (zenon_L369_); trivial. % 196.35/196.52 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H187 | zenon_intro zenon_H152 ]. % 196.35/196.52 apply (zenon_L143_); trivial. % 196.35/196.52 apply (zenon_L124_); trivial. % 196.35/196.52 (* end of lemma zenon_L370_ *) % 196.35/196.52 assert (zenon_L371_ : (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((op1 (e11) (e12)) = (e12)) -> ((op1 (e11) (e12)) = (e13)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e10) = (op1 (e11) (e11))) -> ((op1 (unit1) (e10)) = (e10)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> ((op1 (e12) (e12)) = (e11)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (unit1) (e12)) = (e12)) -> ((op1 (e13) (unit1)) = (e13)) -> ((op1 (e13) (e10)) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> False). % 196.35/196.52 do 0 intro. intros zenon_H264 zenon_H18e zenon_H259 zenon_H18b zenon_H25b zenon_H25c zenon_H25f zenon_H25e zenon_H192 zenon_H15b zenon_H172 zenon_H133 zenon_H132 zenon_H131 zenon_H104 zenon_H173 zenon_H14b zenon_H14c zenon_H14d zenon_H17e zenon_H261 zenon_H13a zenon_H121 zenon_H105 zenon_H10f zenon_H110 zenon_H11a zenon_H111 zenon_H185 zenon_H186 zenon_H127 zenon_H120 zenon_H13b. % 196.35/196.52 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H256 | zenon_intro zenon_H265 ]. % 196.35/196.52 apply (zenon_L364_); trivial. % 196.35/196.52 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H21d | zenon_intro zenon_H266 ]. % 196.35/196.52 apply (zenon_L366_); trivial. % 196.35/196.52 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H163 | zenon_intro zenon_H262 ]. % 196.35/196.52 apply (zenon_L367_); trivial. % 196.35/196.52 apply (zenon_L370_); trivial. % 196.35/196.52 (* end of lemma zenon_L371_ *) % 196.35/196.52 assert (zenon_L372_ : (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e13) (e10)) = (e13)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (e13) (unit1)) = (e13)) -> ((op1 (unit1) (e13)) = (e13)) -> ((op1 (e13) (e11)) = (e13)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> False). % 196.35/196.52 do 0 intro. intros zenon_H127 zenon_H111 zenon_H110 zenon_H121 zenon_H10f zenon_H13a zenon_H12b zenon_H13b. % 196.35/196.52 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H102 | zenon_intro zenon_H128 ]. % 196.35/196.52 apply (zenon_L110_); trivial. % 196.35/196.52 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H10d | zenon_intro zenon_H129 ]. % 196.35/196.52 apply (zenon_L104_); trivial. % 196.35/196.52 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H118 | zenon_intro zenon_H11f ]. % 196.35/196.52 apply (zenon_L113_); trivial. % 196.35/196.52 apply (zenon_L115_); trivial. % 196.35/196.52 (* end of lemma zenon_L372_ *) % 196.35/196.52 assert (zenon_L373_ : (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (unit1) (e13)) = (e13)) -> ((unit1) = (e10)) -> ((op1 (e11) (e13)) = (e13)) -> False). % 196.35/196.52 do 0 intro. intros zenon_H267 zenon_H13a zenon_H102 zenon_H268. % 196.35/196.52 cut (((op1 (unit1) (e13)) = (e13)) = ((op1 (e10) (e13)) = (op1 (e11) (e13)))). % 196.35/196.52 intro zenon_D_pnotp. % 196.35/196.52 apply zenon_H267. % 196.35/196.52 rewrite <- zenon_D_pnotp. % 196.35/196.52 exact zenon_H13a. % 196.35/196.52 cut (((e13) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H269]. % 196.35/196.52 cut (((op1 (unit1) (e13)) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H214]. % 196.35/196.52 congruence. % 196.35/196.52 elim (classic ((op1 (e10) (e13)) = (op1 (e10) (e13)))); [ zenon_intro zenon_H210 | zenon_intro zenon_H211 ]. % 196.35/196.52 cut (((op1 (e10) (e13)) = (op1 (e10) (e13))) = ((op1 (unit1) (e13)) = (op1 (e10) (e13)))). % 196.35/196.52 intro zenon_D_pnotp. % 196.35/196.52 apply zenon_H214. % 196.35/196.52 rewrite <- zenon_D_pnotp. % 196.35/196.52 exact zenon_H210. % 196.35/196.52 cut (((op1 (e10) (e13)) = (op1 (e10) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H211]. % 196.35/196.52 cut (((op1 (e10) (e13)) = (op1 (unit1) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H20d]. % 196.35/196.52 congruence. % 196.35/196.52 apply (zenon_L277_); trivial. % 196.35/196.52 apply zenon_H211. apply refl_equal. % 196.35/196.52 apply zenon_H211. apply refl_equal. % 196.35/196.52 apply zenon_H269. apply sym_equal. exact zenon_H268. % 196.35/196.52 (* end of lemma zenon_L373_ *) % 196.35/196.52 assert (zenon_L374_ : (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> ((op1 (e11) (e13)) = (e13)) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e13) (e10)) = (e13)) -> ((op1 (e13) (unit1)) = (e13)) -> ((op1 (e12) (e12)) = (e11)) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e12)) = (e12)) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> False). % 196.35/196.52 do 0 intro. intros zenon_H127 zenon_H268 zenon_H13a zenon_H267 zenon_H111 zenon_H110 zenon_H10f zenon_H14d zenon_H14c zenon_H14b zenon_H105 zenon_H120 zenon_H121. % 196.35/196.52 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H102 | zenon_intro zenon_H128 ]. % 196.35/196.52 apply (zenon_L373_); trivial. % 196.35/196.52 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H10d | zenon_intro zenon_H129 ]. % 196.35/196.52 apply (zenon_L104_); trivial. % 196.35/196.52 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H118 | zenon_intro zenon_H11f ]. % 196.35/196.52 apply (zenon_L123_); trivial. % 196.35/196.52 apply (zenon_L107_); trivial. % 196.35/196.52 (* end of lemma zenon_L374_ *) % 196.35/196.52 assert (zenon_L375_ : (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> ((op1 (e11) (e13)) = (e13)) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((e10) = (op1 (e11) (e11))) -> ((op1 (unit1) (e10)) = (e10)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (e12) (e10)) = (e12)) -> ((op1 (unit1) (e12)) = (e12)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> ((op1 (e13) (e12)) = (e11)) -> False). % 196.35/196.52 do 0 intro. intros zenon_H127 zenon_H268 zenon_H13a zenon_H267 zenon_H133 zenon_H132 zenon_H131 zenon_H143 zenon_H1a0 zenon_H105 zenon_H121 zenon_H14c zenon_H1b1. % 196.35/196.52 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H102 | zenon_intro zenon_H128 ]. % 196.35/196.52 apply (zenon_L373_); trivial. % 196.35/196.52 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H10d | zenon_intro zenon_H129 ]. % 196.35/196.52 apply (zenon_L112_); trivial. % 196.35/196.52 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H118 | zenon_intro zenon_H11f ]. % 196.35/196.52 apply (zenon_L156_); trivial. % 196.35/196.52 apply (zenon_L170_); trivial. % 196.35/196.52 (* end of lemma zenon_L375_ *) % 196.35/196.52 assert (zenon_L376_ : (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((op1 (e13) (e12)) = (e11)) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e11) (e13)) = (e13)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e10)) = (e10)) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (unit1) (e12)) = (e12)) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> False). % 196.35/196.52 do 0 intro. intros zenon_H1a7 zenon_H1b1 zenon_H267 zenon_H268 zenon_H1a3 zenon_H17e zenon_H104 zenon_H192 zenon_H14b zenon_H14c zenon_H143 zenon_H132 zenon_H133 zenon_H131 zenon_H173 zenon_H111 zenon_H18b zenon_H186 zenon_H185 zenon_H13a zenon_H18e zenon_H11a zenon_H127 zenon_H172 zenon_H13b zenon_H10f zenon_H15b zenon_H105 zenon_H120 zenon_H121. % 196.35/196.52 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H1a0 | zenon_intro zenon_H1a8 ]. % 196.35/196.52 apply (zenon_L375_); trivial. % 196.35/196.52 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H1a4 | zenon_intro zenon_H1a9 ]. % 196.35/196.52 apply (zenon_L162_); trivial. % 196.35/196.52 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_H15a | zenon_intro zenon_H187 ]. % 196.35/196.52 apply (zenon_L165_); trivial. % 196.35/196.52 apply (zenon_L149_); trivial. % 196.35/196.52 (* end of lemma zenon_L376_ *) % 196.35/196.52 assert (zenon_L377_ : (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((op1 (e11) (unit1)) = (e11)) -> ((op1 (e13) (e10)) = (e13)) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e11) (e13)) = (e13)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e10)) = (e10)) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (unit1) (e12)) = (e12)) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> False). % 196.35/196.52 do 0 intro. intros zenon_H1b5 zenon_H178 zenon_H196 zenon_H197 zenon_H110 zenon_H1a7 zenon_H267 zenon_H268 zenon_H1a3 zenon_H17e zenon_H104 zenon_H192 zenon_H14b zenon_H14c zenon_H143 zenon_H132 zenon_H133 zenon_H131 zenon_H173 zenon_H111 zenon_H18b zenon_H186 zenon_H185 zenon_H13a zenon_H18e zenon_H11a zenon_H127 zenon_H172 zenon_H13b zenon_H10f zenon_H15b zenon_H105 zenon_H120 zenon_H121. % 196.35/196.52 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H177 | zenon_intro zenon_H1b6 ]. % 196.35/196.52 apply (zenon_L150_); trivial. % 196.35/196.52 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H198 | zenon_intro zenon_H1b7 ]. % 196.35/196.52 apply (zenon_L153_); trivial. % 196.35/196.52 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H14d | zenon_intro zenon_H1b1 ]. % 196.35/196.52 apply (zenon_L374_); trivial. % 196.35/196.52 apply (zenon_L376_); trivial. % 196.35/196.52 (* end of lemma zenon_L377_ *) % 196.35/196.52 assert (zenon_L378_ : (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> ((op1 (e11) (e12)) = (e12)) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((e10) = (e13))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((op1 (e11) (unit1)) = (e11)) -> ((op1 (e13) (e10)) = (e13)) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e10)) = (e10)) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (unit1) (e12)) = (e12)) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> False). % 196.35/196.53 do 0 intro. intros zenon_H26a zenon_H23e zenon_H237 zenon_H25c zenon_H25b zenon_H21a zenon_H224 zenon_H1f4 zenon_H1f7 zenon_H19c zenon_H261 zenon_H25e zenon_H259 zenon_H264 zenon_H20f zenon_H223 zenon_H1b5 zenon_H178 zenon_H196 zenon_H197 zenon_H110 zenon_H1a7 zenon_H267 zenon_H1a3 zenon_H17e zenon_H104 zenon_H192 zenon_H14b zenon_H14c zenon_H143 zenon_H132 zenon_H133 zenon_H131 zenon_H173 zenon_H111 zenon_H18b zenon_H186 zenon_H185 zenon_H13a zenon_H18e zenon_H11a zenon_H127 zenon_H172 zenon_H13b zenon_H10f zenon_H15b zenon_H105 zenon_H120 zenon_H121. % 196.35/196.53 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H236 | zenon_intro zenon_H26b ]. % 196.35/196.53 apply (zenon_L347_); trivial. % 196.35/196.53 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H162 | zenon_intro zenon_H26c ]. % 196.35/196.53 apply (zenon_L284_); trivial. % 196.35/196.53 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H25f | zenon_intro zenon_H268 ]. % 196.35/196.53 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H20e | zenon_intro zenon_H225 ]. % 196.35/196.53 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H226 ]. % 196.35/196.53 apply (zenon_L269_); trivial. % 196.35/196.53 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_H1f8 | zenon_intro zenon_H227 ]. % 196.35/196.53 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H177 | zenon_intro zenon_H1b6 ]. % 196.35/196.53 apply (zenon_L150_); trivial. % 196.35/196.53 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H198 | zenon_intro zenon_H1b7 ]. % 196.35/196.53 apply (zenon_L166_); trivial. % 196.35/196.53 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H14d | zenon_intro zenon_H1b1 ]. % 196.35/196.53 apply (zenon_L371_); trivial. % 196.35/196.53 apply (zenon_L273_); trivial. % 196.35/196.53 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H14d | zenon_intro zenon_H218 ]. % 196.35/196.53 apply (zenon_L371_); trivial. % 196.35/196.53 apply (zenon_L283_); trivial. % 196.35/196.53 apply (zenon_or_s _ _ zenon_H225); [ zenon_intro zenon_H162 | zenon_intro zenon_H228 ]. % 196.35/196.53 apply (zenon_L284_); trivial. % 196.35/196.53 apply (zenon_or_s _ _ zenon_H228); [ zenon_intro zenon_H21d | zenon_intro zenon_H12b ]. % 196.35/196.53 apply (zenon_L366_); trivial. % 196.35/196.53 apply (zenon_L372_); trivial. % 196.35/196.53 apply (zenon_L377_); trivial. % 196.35/196.53 (* end of lemma zenon_L378_ *) % 196.35/196.53 assert (zenon_L379_ : (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((op1 (e11) (unit1)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> ((op1 (e11) (e12)) = (e12)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (e11) (e13)) = (e12)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (unit1) (e13)) = (e13)) -> ((op1 (unit1) (e10)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (unit1) (e12)) = (e12)) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> False). % 196.35/196.53 do 0 intro. intros zenon_H18e zenon_H185 zenon_H186 zenon_H18b zenon_H173 zenon_H131 zenon_H133 zenon_H192 zenon_H104 zenon_H1a3 zenon_H267 zenon_H1a7 zenon_H197 zenon_H196 zenon_H178 zenon_H1b5 zenon_H223 zenon_H20f zenon_H264 zenon_H259 zenon_H25e zenon_H261 zenon_H19c zenon_H1f7 zenon_H1f4 zenon_H224 zenon_H21a zenon_H25b zenon_H25c zenon_H237 zenon_H23e zenon_H26a zenon_H17e zenon_H17f zenon_H111 zenon_H13a zenon_H132 zenon_H143 zenon_H14c zenon_H14b zenon_H11a zenon_H127 zenon_H172 zenon_H13b zenon_H10f zenon_H15b zenon_H105 zenon_H120 zenon_H121. % 196.35/196.53 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H110 | zenon_intro zenon_H174 ]. % 196.35/196.53 apply (zenon_L378_); trivial. % 196.35/196.53 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H12b | zenon_intro zenon_H175 ]. % 196.35/196.53 apply (zenon_L139_); trivial. % 196.35/196.53 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H140 | zenon_intro zenon_H15c ]. % 196.35/196.53 apply (zenon_L130_); trivial. % 196.35/196.53 apply (zenon_L133_); trivial. % 196.35/196.53 (* end of lemma zenon_L379_ *) % 196.35/196.53 assert (zenon_L380_ : (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e10)) = (e10)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> ((op1 (e11) (e12)) = (e12)) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((e10) = (e13))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((op1 (e11) (unit1)) = (e11)) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (unit1) (e12)) = (e12)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> False). % 196.35/196.53 do 0 intro. intros zenon_H14b zenon_H14c zenon_H143 zenon_H132 zenon_H17e zenon_H26a zenon_H23e zenon_H237 zenon_H25c zenon_H25b zenon_H21a zenon_H224 zenon_H1f4 zenon_H1f7 zenon_H19c zenon_H261 zenon_H25e zenon_H259 zenon_H264 zenon_H20f zenon_H223 zenon_H1b5 zenon_H178 zenon_H196 zenon_H197 zenon_H1a7 zenon_H267 zenon_H1a3 zenon_H104 zenon_H192 zenon_H133 zenon_H131 zenon_H121 zenon_H105 zenon_H15b zenon_H10f zenon_H172 zenon_H127 zenon_H11a zenon_H18e zenon_H13a zenon_H185 zenon_H186 zenon_H18b zenon_H111 zenon_H173 zenon_H120 zenon_H13b. % 196.35/196.53 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H106 | zenon_intro zenon_H193 ]. % 196.35/196.53 apply (zenon_L134_); trivial. % 196.35/196.53 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H17f | zenon_intro zenon_H194 ]. % 196.35/196.53 apply (zenon_L379_); trivial. % 196.35/196.53 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H187 | zenon_intro zenon_H152 ]. % 196.35/196.53 apply (zenon_L149_); trivial. % 196.35/196.53 apply (zenon_L124_); trivial. % 196.35/196.53 (* end of lemma zenon_L380_ *) % 196.35/196.53 assert (zenon_L381_ : (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (unit1) (e12)) = (e12)) -> ((unit1) = (e10)) -> ((op1 (e13) (e12)) = (e12)) -> False). % 196.35/196.53 do 0 intro. intros zenon_H26d zenon_H105 zenon_H102 zenon_H26e. % 196.35/196.53 cut (((op1 (unit1) (e12)) = (e12)) = ((op1 (e10) (e12)) = (op1 (e13) (e12)))). % 196.35/196.53 intro zenon_D_pnotp. % 196.35/196.53 apply zenon_H26d. % 196.35/196.53 rewrite <- zenon_D_pnotp. % 196.35/196.53 exact zenon_H105. % 196.35/196.53 cut (((e12) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H26f]. % 196.35/196.53 cut (((op1 (unit1) (e12)) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H108]. % 196.35/196.53 congruence. % 196.35/196.53 elim (classic ((op1 (e10) (e12)) = (op1 (e10) (e12)))); [ zenon_intro zenon_H109 | zenon_intro zenon_H10a ]. % 196.35/196.53 cut (((op1 (e10) (e12)) = (op1 (e10) (e12))) = ((op1 (unit1) (e12)) = (op1 (e10) (e12)))). % 196.35/196.53 intro zenon_D_pnotp. % 196.35/196.53 apply zenon_H108. % 196.35/196.53 rewrite <- zenon_D_pnotp. % 196.35/196.53 exact zenon_H109. % 196.35/196.53 cut (((op1 (e10) (e12)) = (op1 (e10) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H10a]. % 196.35/196.53 cut (((op1 (e10) (e12)) = (op1 (unit1) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H101]. % 196.35/196.53 congruence. % 196.35/196.53 apply (zenon_L100_); trivial. % 196.35/196.53 apply zenon_H10a. apply refl_equal. % 196.35/196.53 apply zenon_H10a. apply refl_equal. % 196.35/196.53 apply zenon_H26f. apply sym_equal. exact zenon_H26e. % 196.35/196.53 (* end of lemma zenon_L381_ *) % 196.35/196.53 assert (zenon_L382_ : (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> ((op1 (e13) (e12)) = (e12)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e13) (e10)) = (e13)) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (e12) (e11)) = (e13)) -> ((op1 (unit1) (e13)) = (e13)) -> ((op1 (unit1) (e12)) = (e12)) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> False). % 196.35/196.53 do 0 intro. intros zenon_H127 zenon_H26e zenon_H26d zenon_H111 zenon_H110 zenon_H10f zenon_H18b zenon_H21d zenon_H13a zenon_H105 zenon_H120 zenon_H121. % 196.35/196.53 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H102 | zenon_intro zenon_H128 ]. % 196.35/196.53 apply (zenon_L381_); trivial. % 196.35/196.53 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H10d | zenon_intro zenon_H129 ]. % 196.35/196.53 apply (zenon_L104_); trivial. % 196.35/196.53 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H118 | zenon_intro zenon_H11f ]. % 196.35/196.53 apply (zenon_L286_); trivial. % 196.35/196.53 apply (zenon_L107_); trivial. % 196.35/196.53 (* end of lemma zenon_L382_ *) % 196.35/196.53 assert (zenon_L383_ : (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e12)) = (e12)) -> ((op1 (e11) (e12)) = (e13)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((e10) = (op1 (e11) (e11))) -> ((op1 (unit1) (e10)) = (e10)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> ((op1 (e12) (e12)) = (e11)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (unit1) (e12)) = (e12)) -> ((op1 (e13) (unit1)) = (e13)) -> ((op1 (e13) (e10)) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> False). % 196.35/196.53 do 0 intro. intros zenon_H264 zenon_H18e zenon_H259 zenon_H18b zenon_H26d zenon_H26e zenon_H25f zenon_H25e zenon_H192 zenon_H15b zenon_H172 zenon_H133 zenon_H132 zenon_H131 zenon_H104 zenon_H173 zenon_H14b zenon_H14c zenon_H14d zenon_H17e zenon_H261 zenon_H13a zenon_H121 zenon_H105 zenon_H10f zenon_H110 zenon_H11a zenon_H111 zenon_H185 zenon_H186 zenon_H127 zenon_H120 zenon_H13b. % 196.35/196.53 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H256 | zenon_intro zenon_H265 ]. % 196.35/196.53 apply (zenon_L364_); trivial. % 196.35/196.53 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H21d | zenon_intro zenon_H266 ]. % 196.35/196.53 apply (zenon_L382_); trivial. % 196.35/196.53 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H163 | zenon_intro zenon_H262 ]. % 196.35/196.53 apply (zenon_L367_); trivial. % 196.35/196.53 apply (zenon_L370_); trivial. % 196.35/196.53 (* end of lemma zenon_L383_ *) % 196.35/196.53 assert (zenon_L384_ : ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e12) (e12)) = (e11)) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (e12)) = (e13)) -> ((op1 (e13) (e12)) = (e12)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (e11) (e13)) = (e12)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (unit1) (e13)) = (e13)) -> ((op1 (unit1) (e10)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (unit1) (e12)) = (e12)) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> False). % 196.35/196.53 do 0 intro. intros zenon_H186 zenon_H185 zenon_H261 zenon_H14d zenon_H173 zenon_H104 zenon_H131 zenon_H133 zenon_H192 zenon_H25e zenon_H25f zenon_H26e zenon_H26d zenon_H18b zenon_H259 zenon_H18e zenon_H264 zenon_H17e zenon_H17f zenon_H111 zenon_H13a zenon_H132 zenon_H143 zenon_H14c zenon_H14b zenon_H11a zenon_H127 zenon_H172 zenon_H13b zenon_H10f zenon_H15b zenon_H105 zenon_H120 zenon_H121. % 196.35/196.53 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H110 | zenon_intro zenon_H174 ]. % 196.35/196.53 apply (zenon_L383_); trivial. % 196.35/196.53 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H12b | zenon_intro zenon_H175 ]. % 196.35/196.53 apply (zenon_L139_); trivial. % 196.35/196.53 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H140 | zenon_intro zenon_H15c ]. % 196.35/196.53 apply (zenon_L130_); trivial. % 196.35/196.53 apply (zenon_L133_); trivial. % 196.35/196.53 (* end of lemma zenon_L384_ *) % 196.35/196.53 assert (zenon_L385_ : (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e10)) = (e10)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e12)) = (e12)) -> ((op1 (e11) (e12)) = (e13)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> ((op1 (e12) (e12)) = (e11)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (unit1) (e12)) = (e12)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> False). % 196.35/196.53 do 0 intro. intros zenon_H14b zenon_H14c zenon_H143 zenon_H132 zenon_H17e zenon_H264 zenon_H259 zenon_H26d zenon_H26e zenon_H25f zenon_H25e zenon_H192 zenon_H133 zenon_H131 zenon_H104 zenon_H14d zenon_H261 zenon_H121 zenon_H105 zenon_H15b zenon_H10f zenon_H172 zenon_H127 zenon_H11a zenon_H18e zenon_H13a zenon_H185 zenon_H186 zenon_H18b zenon_H111 zenon_H173 zenon_H120 zenon_H13b. % 196.35/196.53 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H106 | zenon_intro zenon_H193 ]. % 196.35/196.53 apply (zenon_L134_); trivial. % 196.35/196.53 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H17f | zenon_intro zenon_H194 ]. % 196.35/196.53 apply (zenon_L384_); trivial. % 196.35/196.53 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H187 | zenon_intro zenon_H152 ]. % 196.35/196.53 apply (zenon_L149_); trivial. % 196.35/196.53 apply (zenon_L124_); trivial. % 196.35/196.53 (* end of lemma zenon_L385_ *) % 196.35/196.53 assert (zenon_L386_ : (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> ((unit2) = (e20)) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (e21) (unit2)) = (e21)) -> (~((h8 (op1 (e10) (e12))) = (op2 (h8 (e10)) (h8 (e12))))) -> ((op2 (e20) (e23)) = (e23)) -> ((op2 (e21) (e22)) = (e23)) -> ((h8 (e10)) = (op2 (e22) (e22))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> ((h8 (e12)) = (op2 (e21) (e22))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e21)) = (e21)) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((op2 (e22) (unit2)) = (e22)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((op2 (unit2) (e23)) = (e23)) -> ((op2 (unit2) (e20)) = (e20)) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e22)) = (e22)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((e20) = (e23))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((op1 (e11) (unit1)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e10)) = (e10)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (e12)) = (e13)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> ((op1 (e12) (e12)) = (e11)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (unit1) (e12)) = (e12)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> False). % 196.35/196.53 do 0 intro. intros zenon_H270 zenon_H1e zenon_H54 zenon_H9e zenon_H40 zenon_H67 zenon_H29 zenon_Hcf zenon_H24b zenon_H1d0 zenon_H245 zenon_Hf0 zenon_H248 zenon_H244 zenon_Hba zenon_H9f zenon_H86 zenon_H76 zenon_H77 zenon_H4d zenon_H56 zenon_H5d zenon_Ha9 zenon_Ha3 zenon_Ha4 zenon_Hb5 zenon_Hb3 zenon_Haf zenon_Hb6 zenon_H22 zenon_H20 zenon_H2a zenon_H2c zenon_H39 zenon_H37 zenon_H41 zenon_H49 zenon_Hbd zenon_H22d zenon_H1de zenon_H234 zenon_H1d1 zenon_H1cd zenon_H1d4 zenon_H1d9 zenon_Hc1 zenon_Hce zenon_Hd4 zenon_Hd8 zenon_Hdf zenon_H1ca zenon_H1a3 zenon_H267 zenon_H1a7 zenon_H197 zenon_H196 zenon_H178 zenon_H1b5 zenon_H223 zenon_H20f zenon_H19c zenon_H1f7 zenon_H1f4 zenon_H224 zenon_H21a zenon_H25b zenon_H237 zenon_H23e zenon_H26a zenon_H14b zenon_H14c zenon_H143 zenon_H132 zenon_H17e zenon_H264 zenon_H259 zenon_H26d zenon_H25f zenon_H25e zenon_H192 zenon_H133 zenon_H131 zenon_H104 zenon_H14d zenon_H261 zenon_H121 zenon_H105 zenon_H15b zenon_H10f zenon_H172 zenon_H127 zenon_H11a zenon_H18e zenon_H13a zenon_H185 zenon_H186 zenon_H18b zenon_H111 zenon_H173 zenon_H120 zenon_H13b. % 196.35/196.53 apply (zenon_or_s _ _ zenon_H270); [ zenon_intro zenon_H241 | zenon_intro zenon_H271 ]. % 196.35/196.53 apply (zenon_L359_); trivial. % 196.35/196.53 apply (zenon_or_s _ _ zenon_H271); [ zenon_intro zenon_H25c | zenon_intro zenon_H272 ]. % 196.35/196.53 apply (zenon_L380_); trivial. % 196.35/196.53 apply (zenon_or_s _ _ zenon_H272); [ zenon_intro zenon_H15a | zenon_intro zenon_H26e ]. % 196.35/196.53 apply (zenon_L165_); trivial. % 196.35/196.53 apply (zenon_L385_); trivial. % 196.35/196.53 (* end of lemma zenon_L386_ *) % 196.35/196.53 assert (zenon_L387_ : (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e12)) = (e13)) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e12) (e10)) = (e13)) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> ((op1 (e13) (e12)) = (e11)) -> False). % 196.35/196.53 do 0 intro. intros zenon_H127 zenon_H11a zenon_H140 zenon_H10f zenon_H185 zenon_H256 zenon_H13a zenon_H121 zenon_H14c zenon_H1b1. % 196.35/196.53 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H102 | zenon_intro zenon_H128 ]. % 196.35/196.53 apply (zenon_L117_); trivial. % 196.35/196.53 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H10d | zenon_intro zenon_H129 ]. % 196.35/196.53 apply (zenon_L118_); trivial. % 196.35/196.53 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H118 | zenon_intro zenon_H11f ]. % 196.35/196.53 apply (zenon_L360_); trivial. % 196.35/196.53 apply (zenon_L170_); trivial. % 196.35/196.53 (* end of lemma zenon_L387_ *) % 196.35/196.53 assert (zenon_L388_ : (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (e11) (e13)) = (e12)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e13) (e12)) = (e11)) -> ((op1 (unit1) (e11)) = (e11)) -> ((op1 (unit1) (e13)) = (e13)) -> ((op1 (e12) (e10)) = (e13)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (unit1) (e12)) = (e12)) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> False). % 196.35/196.53 do 0 intro. intros zenon_H173 zenon_H259 zenon_H17e zenon_H17f zenon_H111 zenon_H1b1 zenon_H14c zenon_H13a zenon_H256 zenon_H185 zenon_H11a zenon_H127 zenon_H172 zenon_H13b zenon_H10f zenon_H15b zenon_H105 zenon_H120 zenon_H121. % 196.35/196.53 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H110 | zenon_intro zenon_H174 ]. % 196.35/196.53 apply (zenon_L362_); trivial. % 196.35/196.53 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H12b | zenon_intro zenon_H175 ]. % 196.35/196.53 apply (zenon_L172_); trivial. % 196.35/196.53 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H140 | zenon_intro zenon_H15c ]. % 196.35/196.53 apply (zenon_L387_); trivial. % 196.35/196.53 apply (zenon_L133_); trivial. % 196.35/196.53 (* end of lemma zenon_L388_ *) % 196.35/196.53 assert (zenon_L389_ : (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((op1 (unit1) (e10)) = (e10)) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> ((op1 (e12) (e10)) = (e13)) -> ((op1 (unit1) (e11)) = (e11)) -> ((op1 (e13) (e12)) = (e11)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (unit1) (e12)) = (e12)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> False). % 196.35/196.53 do 0 intro. intros zenon_H192 zenon_H131 zenon_H132 zenon_H133 zenon_H104 zenon_H256 zenon_H14c zenon_H1b1 zenon_H17e zenon_H259 zenon_H121 zenon_H105 zenon_H15b zenon_H10f zenon_H172 zenon_H127 zenon_H11a zenon_H18e zenon_H13a zenon_H185 zenon_H186 zenon_H18b zenon_H111 zenon_H173 zenon_H120 zenon_H13b. % 196.35/196.53 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H106 | zenon_intro zenon_H193 ]. % 196.35/196.53 apply (zenon_L361_); trivial. % 196.35/196.53 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H17f | zenon_intro zenon_H194 ]. % 196.35/196.53 apply (zenon_L388_); trivial. % 196.35/196.53 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H187 | zenon_intro zenon_H152 ]. % 196.35/196.53 apply (zenon_L149_); trivial. % 196.35/196.53 apply (zenon_L124_); trivial. % 196.35/196.53 (* end of lemma zenon_L389_ *) % 196.35/196.53 assert (zenon_L390_ : (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((op1 (e12) (e11)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e12)) = (e12)) -> ((op1 (e13) (e12)) = (e11)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (e11) (e13)) = (e12)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (unit1) (e11)) = (e11)) -> ((op1 (e12) (e13)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (unit1) (e12)) = (e12)) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> False). % 196.35/196.53 do 0 intro. intros zenon_H173 zenon_H21d zenon_H26d zenon_H26e zenon_H1b1 zenon_H17e zenon_H17f zenon_H111 zenon_H13a zenon_H18b zenon_H14c zenon_H218 zenon_H11a zenon_H127 zenon_H172 zenon_H13b zenon_H10f zenon_H15b zenon_H105 zenon_H120 zenon_H121. % 196.35/196.53 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H110 | zenon_intro zenon_H174 ]. % 196.35/196.53 apply (zenon_L382_); trivial. % 196.35/196.53 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H12b | zenon_intro zenon_H175 ]. % 196.35/196.53 apply (zenon_L172_); trivial. % 196.35/196.53 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H140 | zenon_intro zenon_H15c ]. % 196.35/196.53 apply (zenon_L289_); trivial. % 196.35/196.53 apply (zenon_L133_); trivial. % 196.35/196.53 (* end of lemma zenon_L390_ *) % 196.35/196.53 assert (zenon_L391_ : (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((e10) = (op1 (e11) (e11))) -> ((op1 (unit1) (e10)) = (e10)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> ((op1 (e12) (e13)) = (e11)) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (e13) (e12)) = (e11)) -> ((op1 (e13) (e12)) = (e12)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e12) (e11)) = (e13)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (unit1) (e12)) = (e12)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> False). % 196.35/196.53 do 0 intro. intros zenon_H192 zenon_H133 zenon_H132 zenon_H131 zenon_H104 zenon_H218 zenon_H14c zenon_H17e zenon_H1b1 zenon_H26e zenon_H26d zenon_H21d zenon_H121 zenon_H105 zenon_H15b zenon_H10f zenon_H172 zenon_H127 zenon_H11a zenon_H18e zenon_H13a zenon_H185 zenon_H186 zenon_H18b zenon_H111 zenon_H173 zenon_H120 zenon_H13b. % 196.35/196.53 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H106 | zenon_intro zenon_H193 ]. % 196.35/196.53 apply (zenon_L290_); trivial. % 196.35/196.53 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H17f | zenon_intro zenon_H194 ]. % 196.35/196.53 apply (zenon_L390_); trivial. % 196.35/196.53 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H187 | zenon_intro zenon_H152 ]. % 196.35/196.53 apply (zenon_L149_); trivial. % 196.35/196.53 apply (zenon_L124_); trivial. % 196.35/196.53 (* end of lemma zenon_L391_ *) % 196.35/196.53 assert (zenon_L392_ : (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> ((op1 (e12) (e13)) = (e13)) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e10)) = (e10)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> ((op1 (e13) (e12)) = (e11)) -> False). % 196.35/196.53 do 0 intro. intros zenon_H127 zenon_H262 zenon_H13a zenon_H261 zenon_H133 zenon_H131 zenon_H10f zenon_H15b zenon_H120 zenon_H13b zenon_H14b zenon_H143 zenon_H132 zenon_H121 zenon_H14c zenon_H1b1. % 196.35/196.53 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H102 | zenon_intro zenon_H128 ]. % 196.35/196.53 apply (zenon_L368_); trivial. % 196.35/196.53 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H10d | zenon_intro zenon_H129 ]. % 196.35/196.53 apply (zenon_L112_); trivial. % 196.35/196.53 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H118 | zenon_intro zenon_H11f ]. % 196.35/196.53 apply (zenon_L128_); trivial. % 196.35/196.53 apply (zenon_L170_); trivial. % 196.35/196.53 (* end of lemma zenon_L392_ *) % 196.35/196.53 assert (zenon_L393_ : (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (unit1) (e12)) = (e12)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e12)) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (e12) (e13)) = (e11)) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((op1 (e11) (e12)) = (e13)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e10)) = (e10)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> ((op1 (e13) (e12)) = (e11)) -> False). % 196.35/196.53 do 0 intro. intros zenon_H264 zenon_H259 zenon_H173 zenon_H111 zenon_H18b zenon_H186 zenon_H185 zenon_H18e zenon_H11a zenon_H172 zenon_H105 zenon_H26d zenon_H26e zenon_H17e zenon_H218 zenon_H104 zenon_H192 zenon_H25f zenon_H25e zenon_H127 zenon_H13a zenon_H261 zenon_H133 zenon_H131 zenon_H10f zenon_H15b zenon_H120 zenon_H13b zenon_H14b zenon_H143 zenon_H132 zenon_H121 zenon_H14c zenon_H1b1. % 196.35/196.53 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H256 | zenon_intro zenon_H265 ]. % 196.35/196.53 apply (zenon_L389_); trivial. % 196.35/196.53 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H21d | zenon_intro zenon_H266 ]. % 196.35/196.53 apply (zenon_L391_); trivial. % 196.35/196.53 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H163 | zenon_intro zenon_H262 ]. % 196.35/196.53 apply (zenon_L367_); trivial. % 196.35/196.53 apply (zenon_L392_); trivial. % 196.35/196.53 (* end of lemma zenon_L393_ *) % 196.35/196.53 assert (zenon_L394_ : (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> ((unit2) = (e20)) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (e21) (unit2)) = (e21)) -> (~((h8 (op1 (e10) (e12))) = (op2 (h8 (e10)) (h8 (e12))))) -> ((op2 (e20) (e23)) = (e23)) -> ((op2 (e21) (e22)) = (e23)) -> ((h8 (e10)) = (op2 (e22) (e22))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> ((h8 (e12)) = (op2 (e21) (e22))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e21)) = (e21)) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((op2 (e22) (unit2)) = (e22)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((op2 (unit2) (e23)) = (e23)) -> ((op2 (unit2) (e20)) = (e20)) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e22)) = (e22)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((e20) = (e23))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((op1 (e11) (unit1)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (unit1) (e12)) = (e12)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (e12) (e13)) = (e11)) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((op1 (e11) (e12)) = (e13)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e10)) = (e10)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> False). % 196.35/196.53 do 0 intro. intros zenon_H270 zenon_H1e zenon_H54 zenon_H9e zenon_H40 zenon_H67 zenon_H29 zenon_Hcf zenon_H24b zenon_H1d0 zenon_H245 zenon_Hf0 zenon_H248 zenon_H244 zenon_Hba zenon_H9f zenon_H86 zenon_H76 zenon_H77 zenon_H4d zenon_H56 zenon_H5d zenon_Ha9 zenon_Ha3 zenon_Ha4 zenon_Hb5 zenon_Hb3 zenon_Haf zenon_Hb6 zenon_H22 zenon_H20 zenon_H2a zenon_H2c zenon_H39 zenon_H37 zenon_H41 zenon_H49 zenon_Hbd zenon_H22d zenon_H1de zenon_H234 zenon_H1d1 zenon_H1cd zenon_H1d4 zenon_H1d9 zenon_Hc1 zenon_Hce zenon_Hd4 zenon_Hd8 zenon_Hdf zenon_H1ca zenon_H1a3 zenon_H267 zenon_H1a7 zenon_H197 zenon_H196 zenon_H178 zenon_H1b5 zenon_H223 zenon_H20f zenon_H19c zenon_H1f7 zenon_H1f4 zenon_H224 zenon_H21a zenon_H25b zenon_H237 zenon_H23e zenon_H26a zenon_H264 zenon_H259 zenon_H173 zenon_H111 zenon_H18b zenon_H186 zenon_H185 zenon_H18e zenon_H11a zenon_H172 zenon_H105 zenon_H26d zenon_H17e zenon_H218 zenon_H104 zenon_H192 zenon_H25f zenon_H25e zenon_H127 zenon_H13a zenon_H261 zenon_H133 zenon_H131 zenon_H10f zenon_H15b zenon_H120 zenon_H13b zenon_H14b zenon_H143 zenon_H132 zenon_H121 zenon_H14c. % 196.35/196.53 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H177 | zenon_intro zenon_H1b6 ]. % 196.35/196.53 apply (zenon_L150_); trivial. % 196.35/196.53 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H198 | zenon_intro zenon_H1b7 ]. % 196.35/196.53 apply (zenon_L292_); trivial. % 196.35/196.53 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H14d | zenon_intro zenon_H1b1 ]. % 196.35/196.53 apply (zenon_L386_); trivial. % 196.35/196.53 apply (zenon_or_s _ _ zenon_H270); [ zenon_intro zenon_H241 | zenon_intro zenon_H271 ]. % 196.35/196.53 apply (zenon_L359_); trivial. % 196.35/196.53 apply (zenon_or_s _ _ zenon_H271); [ zenon_intro zenon_H25c | zenon_intro zenon_H272 ]. % 196.35/196.53 apply (zenon_L380_); trivial. % 196.35/196.53 apply (zenon_or_s _ _ zenon_H272); [ zenon_intro zenon_H15a | zenon_intro zenon_H26e ]. % 196.35/196.53 apply (zenon_L165_); trivial. % 196.35/196.53 apply (zenon_L393_); trivial. % 196.35/196.53 (* end of lemma zenon_L394_ *) % 196.35/196.53 assert (zenon_L395_ : (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> ((unit2) = (e20)) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (e21) (unit2)) = (e21)) -> (~((h8 (op1 (e10) (e12))) = (op2 (h8 (e10)) (h8 (e12))))) -> ((op2 (e20) (e23)) = (e23)) -> ((op2 (e21) (e22)) = (e23)) -> ((h8 (e10)) = (op2 (e22) (e22))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> ((h8 (e12)) = (op2 (e21) (e22))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e21)) = (e21)) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((op2 (e22) (unit2)) = (e22)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((op2 (unit2) (e23)) = (e23)) -> ((op2 (unit2) (e20)) = (e20)) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e22)) = (e22)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((e20) = (e23))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((op1 (e11) (unit1)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (unit1) (e12)) = (e12)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((op1 (e11) (e12)) = (e13)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e10)) = (e10)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> False). % 196.35/196.53 do 0 intro. intros zenon_H270 zenon_H1e zenon_H54 zenon_H9e zenon_H40 zenon_H67 zenon_H29 zenon_Hcf zenon_H24b zenon_H1d0 zenon_H245 zenon_Hf0 zenon_H248 zenon_H244 zenon_Hba zenon_H9f zenon_H86 zenon_H76 zenon_H77 zenon_H4d zenon_H56 zenon_H5d zenon_Ha9 zenon_Ha3 zenon_Ha4 zenon_Hb5 zenon_Hb3 zenon_Haf zenon_Hb6 zenon_H22 zenon_H20 zenon_H2a zenon_H2c zenon_H39 zenon_H37 zenon_H41 zenon_H49 zenon_Hbd zenon_H22d zenon_H1de zenon_H234 zenon_H1d1 zenon_H1cd zenon_H1d4 zenon_H1d9 zenon_Hc1 zenon_Hce zenon_Hd4 zenon_Hd8 zenon_Hdf zenon_H1ca zenon_H1a3 zenon_H267 zenon_H1a7 zenon_H197 zenon_H196 zenon_H178 zenon_H1b5 zenon_H223 zenon_H20f zenon_H19c zenon_H1f7 zenon_H1f4 zenon_H224 zenon_H21a zenon_H25b zenon_H237 zenon_H23e zenon_H26a zenon_H264 zenon_H259 zenon_H173 zenon_H111 zenon_H18b zenon_H186 zenon_H185 zenon_H18e zenon_H11a zenon_H172 zenon_H105 zenon_H26d zenon_H17e zenon_H104 zenon_H192 zenon_H25f zenon_H25e zenon_H127 zenon_H13a zenon_H261 zenon_H133 zenon_H131 zenon_H10f zenon_H15b zenon_H120 zenon_H13b zenon_H14b zenon_H143 zenon_H132 zenon_H121 zenon_H14c. % 196.35/196.53 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H226 ]. % 196.35/196.53 apply (zenon_L269_); trivial. % 196.35/196.53 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_H1f8 | zenon_intro zenon_H227 ]. % 196.35/196.53 apply (zenon_L349_); trivial. % 196.35/196.53 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H14d | zenon_intro zenon_H218 ]. % 196.35/196.53 apply (zenon_L386_); trivial. % 196.35/196.53 apply (zenon_L394_); trivial. % 196.35/196.53 (* end of lemma zenon_L395_ *) % 196.35/196.53 assert (zenon_L396_ : (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e11) (e13)) = (e13)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((op1 (unit1) (e10)) = (e10)) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> ((op1 (e12) (e12)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (unit1) (e12)) = (e12)) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> False). % 196.35/196.53 do 0 intro. intros zenon_H173 zenon_H267 zenon_H268 zenon_H131 zenon_H132 zenon_H133 zenon_H111 zenon_H13a zenon_H14b zenon_H14c zenon_H14d zenon_H11a zenon_H127 zenon_H172 zenon_H13b zenon_H10f zenon_H15b zenon_H105 zenon_H120 zenon_H121. % 196.35/196.53 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H110 | zenon_intro zenon_H174 ]. % 196.35/196.53 apply (zenon_L374_); trivial. % 196.35/196.53 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H12b | zenon_intro zenon_H175 ]. % 196.35/196.53 apply (zenon_L341_); trivial. % 196.35/196.53 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H140 | zenon_intro zenon_H15c ]. % 196.35/196.53 apply (zenon_L191_); trivial. % 196.35/196.53 apply (zenon_L133_); trivial. % 196.35/196.53 (* end of lemma zenon_L396_ *) % 196.35/196.53 assert (zenon_L397_ : (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((op1 (e11) (unit1)) = (e11)) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e11) (e13)) = (e13)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e10)) = (e10)) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (unit1) (e12)) = (e12)) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> False). % 196.35/196.53 do 0 intro. intros zenon_H1b5 zenon_H178 zenon_H19c zenon_H196 zenon_H197 zenon_H1a7 zenon_H267 zenon_H268 zenon_H1a3 zenon_H17e zenon_H104 zenon_H192 zenon_H14b zenon_H14c zenon_H143 zenon_H132 zenon_H133 zenon_H131 zenon_H173 zenon_H111 zenon_H18b zenon_H186 zenon_H185 zenon_H13a zenon_H18e zenon_H11a zenon_H127 zenon_H172 zenon_H13b zenon_H10f zenon_H15b zenon_H105 zenon_H120 zenon_H121. % 196.35/196.53 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H177 | zenon_intro zenon_H1b6 ]. % 196.35/196.53 apply (zenon_L150_); trivial. % 196.35/196.53 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H198 | zenon_intro zenon_H1b7 ]. % 196.35/196.53 apply (zenon_L166_); trivial. % 196.35/196.53 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H14d | zenon_intro zenon_H1b1 ]. % 196.35/196.53 apply (zenon_L396_); trivial. % 196.35/196.53 apply (zenon_L376_); trivial. % 196.35/196.53 (* end of lemma zenon_L397_ *) % 196.35/196.53 assert (zenon_L398_ : (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((e10) = (e13))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((e20) = (e23))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (unit2) (e22)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((e20) = (op2 (e21) (e21))) -> ((op2 (unit2) (e20)) = (e20)) -> ((op2 (unit2) (e23)) = (e23)) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((op2 (e22) (unit2)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> ((op2 (unit2) (e21)) = (e21)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> ((h8 (e12)) = (op2 (e21) (e22))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> ((h8 (e10)) = (op2 (e22) (e22))) -> ((op2 (e21) (e22)) = (e23)) -> ((op2 (e20) (e23)) = (e23)) -> (~((h8 (op1 (e10) (e12))) = (op2 (h8 (e10)) (h8 (e12))))) -> ((op2 (e21) (unit2)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (e23) (unit2)) = (e23)) -> ((unit2) = (e20)) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((op1 (e11) (unit1)) = (e11)) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e10)) = (e10)) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (unit1) (e12)) = (e12)) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> False). % 196.35/196.54 do 0 intro. intros zenon_H261 zenon_H25e zenon_H26d zenon_H259 zenon_H264 zenon_H26a zenon_H23e zenon_H237 zenon_H25b zenon_H21a zenon_H224 zenon_H1f4 zenon_H1f7 zenon_H20f zenon_H223 zenon_H1ca zenon_Hdf zenon_Hd8 zenon_Hd4 zenon_Hce zenon_Hc1 zenon_H1d9 zenon_H1d4 zenon_H1cd zenon_H1d1 zenon_H234 zenon_H1de zenon_H22d zenon_Hbd zenon_H49 zenon_H41 zenon_H37 zenon_H39 zenon_H2c zenon_H2a zenon_H20 zenon_H22 zenon_Hb6 zenon_Haf zenon_Hb3 zenon_Hb5 zenon_Ha4 zenon_Ha3 zenon_Ha9 zenon_H5d zenon_H56 zenon_H4d zenon_H77 zenon_H76 zenon_H86 zenon_H9f zenon_Hba zenon_H244 zenon_H248 zenon_Hf0 zenon_H245 zenon_H1d0 zenon_H24b zenon_Hcf zenon_H29 zenon_H67 zenon_H40 zenon_H9e zenon_H54 zenon_H1e zenon_H270 zenon_H1b5 zenon_H178 zenon_H19c zenon_H196 zenon_H197 zenon_H1a7 zenon_H267 zenon_H1a3 zenon_H17e zenon_H104 zenon_H192 zenon_H14b zenon_H14c zenon_H143 zenon_H132 zenon_H133 zenon_H131 zenon_H173 zenon_H111 zenon_H18b zenon_H186 zenon_H185 zenon_H13a zenon_H18e zenon_H11a zenon_H127 zenon_H172 zenon_H13b zenon_H10f zenon_H15b zenon_H105 zenon_H120 zenon_H121. % 196.35/196.54 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H236 | zenon_intro zenon_H26b ]. % 196.35/196.54 apply (zenon_L347_); trivial. % 196.35/196.54 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H162 | zenon_intro zenon_H26c ]. % 196.35/196.54 apply (zenon_L284_); trivial. % 196.35/196.54 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H25f | zenon_intro zenon_H268 ]. % 196.35/196.54 apply (zenon_L395_); trivial. % 196.35/196.54 apply (zenon_L397_); trivial. % 196.35/196.54 (* end of lemma zenon_L398_ *) % 196.35/196.54 assert (zenon_L399_ : (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e13) (e11))) -> ((op1 (unit1) (e12)) = (e12)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> ((op1 (unit1) (e10)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((op1 (e11) (unit1)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (e21) (unit2)) = (e21)) -> (~((h8 (op1 (e10) (e12))) = (op2 (h8 (e10)) (h8 (e12))))) -> ((op2 (e20) (e23)) = (e23)) -> ((op2 (e21) (e22)) = (e23)) -> ((h8 (e10)) = (op2 (e22) (e22))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> ((h8 (e12)) = (op2 (e21) (e22))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((op2 (e22) (unit2)) = (e22)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((op2 (unit2) (e23)) = (e23)) -> ((op2 (unit2) (e20)) = (e20)) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((e20) = (e23))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op2 (e21) (e23)) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> ((op2 (e22) (e22)) = (e21)) -> ((op2 (unit2) (e21)) = (e21)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e22)) = (e22)) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> False). % 196.35/196.54 do 0 intro. intros zenon_H121 zenon_H120 zenon_H105 zenon_H15b zenon_H10f zenon_H13b zenon_H172 zenon_H127 zenon_H11a zenon_H18e zenon_H13a zenon_H185 zenon_H186 zenon_H18b zenon_H111 zenon_H173 zenon_H131 zenon_H133 zenon_H132 zenon_H143 zenon_H14c zenon_H14b zenon_H192 zenon_H104 zenon_H17e zenon_H1a3 zenon_H267 zenon_H1a7 zenon_H197 zenon_H196 zenon_H19c zenon_H178 zenon_H1b5 zenon_H270 zenon_H54 zenon_H9e zenon_H67 zenon_H29 zenon_Hcf zenon_H24b zenon_H1d0 zenon_H245 zenon_Hf0 zenon_H248 zenon_H244 zenon_Hba zenon_H9f zenon_H86 zenon_H4d zenon_H56 zenon_H5d zenon_Ha3 zenon_Ha4 zenon_Hb5 zenon_Hb3 zenon_Haf zenon_Hb6 zenon_H22 zenon_H20 zenon_H2a zenon_H2c zenon_H39 zenon_H49 zenon_Hbd zenon_H22d zenon_H1de zenon_H234 zenon_H1d1 zenon_H1cd zenon_H1d4 zenon_H1d9 zenon_Hc1 zenon_Hce zenon_Hd4 zenon_Hd8 zenon_Hdf zenon_H1ca zenon_H223 zenon_H20f zenon_H1f7 zenon_H1f4 zenon_H224 zenon_H21a zenon_H25b zenon_H237 zenon_H23e zenon_H26a zenon_H264 zenon_H259 zenon_H26d zenon_H25e zenon_H261 zenon_Haa zenon_Ha9 zenon_H78 zenon_H77 zenon_H76 zenon_H37 zenon_H40 zenon_H41. % 196.35/196.54 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H1e | zenon_intro zenon_H4a ]. % 196.35/196.54 apply (zenon_L398_); trivial. % 196.35/196.54 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2b | zenon_intro zenon_H4b ]. % 196.35/196.54 apply (zenon_L46_); trivial. % 196.35/196.54 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H3f ]. % 196.35/196.54 apply (zenon_L30_); trivial. % 196.35/196.54 apply (zenon_L9_); trivial. % 196.35/196.54 (* end of lemma zenon_L399_ *) % 196.35/196.54 assert (zenon_L400_ : (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e21)) = (e21)) -> ((op2 (e22) (e22)) = (e21)) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((e10) = (e13))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((e20) = (e23))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((e20) = (op2 (e21) (e21))) -> ((op2 (unit2) (e20)) = (e20)) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> ((h8 (e12)) = (op2 (e21) (e22))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> ((h8 (e10)) = (op2 (e22) (e22))) -> ((op2 (e21) (e22)) = (e23)) -> ((op2 (e20) (e23)) = (e23)) -> (~((h8 (op1 (e10) (e12))) = (op2 (h8 (e10)) (h8 (e12))))) -> ((op2 (e21) (unit2)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((op1 (e11) (unit1)) = (e11)) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e10)) = (e10)) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (unit1) (e12)) = (e12)) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (unit2) (e22)) = (e22)) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((op2 (unit2) (e23)) = (e23)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e22) (unit2)) = (e22)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> False). % 196.35/196.54 do 0 intro. intros zenon_H76 zenon_H77 zenon_H78 zenon_Ha9 zenon_H261 zenon_H25e zenon_H26d zenon_H259 zenon_H264 zenon_H26a zenon_H23e zenon_H237 zenon_H25b zenon_H21a zenon_H224 zenon_H1f4 zenon_H1f7 zenon_H20f zenon_H223 zenon_H1ca zenon_Hdf zenon_Hd8 zenon_Hd4 zenon_Hce zenon_Hc1 zenon_H1d9 zenon_H1d4 zenon_H1cd zenon_H1d1 zenon_H234 zenon_H1de zenon_H22d zenon_Hbd zenon_H39 zenon_H2c zenon_H2a zenon_H22 zenon_Hb6 zenon_Ha3 zenon_H4d zenon_Hba zenon_H244 zenon_H248 zenon_Hf0 zenon_H245 zenon_H1d0 zenon_H24b zenon_Hcf zenon_H29 zenon_H270 zenon_H1b5 zenon_H178 zenon_H19c zenon_H196 zenon_H197 zenon_H1a7 zenon_H267 zenon_H1a3 zenon_H17e zenon_H104 zenon_H192 zenon_H14b zenon_H14c zenon_H143 zenon_H132 zenon_H133 zenon_H131 zenon_H173 zenon_H111 zenon_H18b zenon_H186 zenon_H185 zenon_H13a zenon_H18e zenon_H11a zenon_H127 zenon_H172 zenon_H13b zenon_H10f zenon_H15b zenon_H105 zenon_H120 zenon_H121 zenon_H41 zenon_H37 zenon_H86 zenon_H54 zenon_H9e zenon_H49 zenon_H5d zenon_Hb5 zenon_H20 zenon_Haf zenon_Ha4 zenon_Hb3 zenon_H56 zenon_H9f zenon_H40 zenon_H67. % 196.35/196.54 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_H4e | zenon_intro zenon_Hb7 ]. % 196.35/196.54 apply (zenon_L86_); trivial. % 196.35/196.54 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_Haa | zenon_intro zenon_Hb8 ]. % 196.35/196.54 apply (zenon_L399_); trivial. % 196.35/196.54 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H7d ]. % 196.35/196.54 apply (zenon_L55_); trivial. % 196.35/196.54 apply (zenon_L31_); trivial. % 196.35/196.54 (* end of lemma zenon_L400_ *) % 196.35/196.54 assert (zenon_L401_ : ((op2 (e22) (e21)) = (e23)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e13) (e11))) -> ((op1 (unit1) (e12)) = (e12)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> ((op1 (unit1) (e10)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((op1 (e11) (unit1)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> ((op2 (e21) (unit2)) = (e21)) -> (~((h8 (op1 (e10) (e12))) = (op2 (h8 (e10)) (h8 (e12))))) -> ((op2 (e20) (e23)) = (e23)) -> ((op2 (e21) (e22)) = (e23)) -> ((h8 (e10)) = (op2 (e22) (e22))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> ((h8 (e12)) = (op2 (e21) (e22))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((e20) = (e23))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (e21) (e21))) -> ((op2 (unit2) (e20)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (e22) (e20)) = (e22)) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> ((op2 (unit2) (e21)) = (e21)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> ((op2 (e22) (e21)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (unit2) (e22)) = (e22)) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((op2 (unit2) (e23)) = (e23)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e22) (unit2)) = (e22)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> False). % 196.35/196.54 do 0 intro. intros zenon_Hc7 zenon_H121 zenon_H120 zenon_H105 zenon_H15b zenon_H10f zenon_H13b zenon_H172 zenon_H127 zenon_H11a zenon_H18e zenon_H13a zenon_H185 zenon_H186 zenon_H18b zenon_H111 zenon_H173 zenon_H131 zenon_H133 zenon_H132 zenon_H143 zenon_H14c zenon_H14b zenon_H192 zenon_H104 zenon_H17e zenon_H1a3 zenon_H267 zenon_H1a7 zenon_H197 zenon_H196 zenon_H19c zenon_H178 zenon_H1b5 zenon_H270 zenon_Hcf zenon_H24b zenon_H1d0 zenon_H245 zenon_Hf0 zenon_H248 zenon_H244 zenon_H22 zenon_Hbd zenon_H22d zenon_H1de zenon_H234 zenon_Hc1 zenon_Hce zenon_Hd4 zenon_Hd8 zenon_Hdf zenon_H1ca zenon_H223 zenon_H20f zenon_H1f7 zenon_H1f4 zenon_H224 zenon_H21a zenon_H25b zenon_H237 zenon_H23e zenon_H26a zenon_H264 zenon_H259 zenon_H26d zenon_H25e zenon_H261 zenon_H1d1 zenon_H2c zenon_H2a zenon_H29 zenon_H39 zenon_H38 zenon_Hba zenon_H1d4 zenon_Ha3 zenon_Ha9 zenon_H77 zenon_H76 zenon_H4d zenon_Hb6 zenon_H1ce zenon_H1cd zenon_H1d9 zenon_H41 zenon_H37 zenon_H86 zenon_H54 zenon_H9e zenon_H49 zenon_H5d zenon_Hb5 zenon_H20 zenon_Haf zenon_Ha4 zenon_Hb3 zenon_H56 zenon_H9f zenon_H40 zenon_H67. % 196.35/196.54 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_Hc0 | zenon_intro zenon_He0 ]. % 196.35/196.54 apply (zenon_L71_); trivial. % 196.35/196.54 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hd0 | zenon_intro zenon_He1 ]. % 196.35/196.54 apply (zenon_L79_); trivial. % 196.35/196.54 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_H78 | zenon_intro zenon_Hdb ]. % 196.35/196.54 apply (zenon_L400_); trivial. % 196.35/196.54 apply (zenon_L211_); trivial. % 196.35/196.54 (* end of lemma zenon_L401_ *) % 196.35/196.54 assert (zenon_L402_ : (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> ((op2 (e20) (e23)) = (e22)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> ((op2 (e22) (e22)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (unit2) (e20)) = (e20)) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (unit2) (e23)) = (e23)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((op2 (unit2) (e21)) = (e21)) -> ((op2 (e22) (e23)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((op2 (unit2) (e22)) = (e22)) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> False). % 196.35/196.54 do 0 intro. intros zenon_H9f zenon_H4d zenon_H4e zenon_H76 zenon_H78 zenon_H29 zenon_H2a zenon_H2c zenon_H56 zenon_H20 zenon_Hb3 zenon_H77 zenon_H1dc zenon_H5d zenon_H49 zenon_H9e zenon_H67 zenon_H54 zenon_H86 zenon_H37 zenon_H40 zenon_H41. % 196.35/196.54 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H55 | zenon_intro zenon_Ha0 ]. % 196.35/196.54 apply (zenon_L17_); trivial. % 196.35/196.54 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_H61 | zenon_intro zenon_Ha1 ]. % 196.35/196.54 apply (zenon_L353_); trivial. % 196.35/196.54 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H6c | zenon_intro zenon_H87 ]. % 196.35/196.54 apply (zenon_L213_); trivial. % 196.35/196.54 apply (zenon_L40_); trivial. % 196.35/196.54 (* end of lemma zenon_L402_ *) % 196.35/196.54 assert (zenon_L403_ : (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e13) (e11))) -> ((op1 (unit1) (e12)) = (e12)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> ((op1 (unit1) (e10)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((op1 (e11) (unit1)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e21) (unit2)) = (e21)) -> (~((h8 (op1 (e10) (e12))) = (op2 (h8 (e10)) (h8 (e12))))) -> ((op2 (e20) (e23)) = (e23)) -> ((op2 (e21) (e22)) = (e23)) -> ((h8 (e10)) = (op2 (e22) (e22))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> ((h8 (e12)) = (op2 (e21) (e22))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((op2 (e22) (unit2)) = (e22)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((op2 (unit2) (e23)) = (e23)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e22)) = (e22)) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((e20) = (e23))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e20) = (op2 (e21) (e21))) -> ((op2 (unit2) (e20)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (e22) (e23)) = (e21)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (unit2) (e21)) = (e21)) -> ((op2 (e23) (e22)) = (e21)) -> False). % 196.35/196.54 do 0 intro. intros zenon_H121 zenon_H120 zenon_H105 zenon_H15b zenon_H10f zenon_H13b zenon_H172 zenon_H127 zenon_H11a zenon_H18e zenon_H13a zenon_H185 zenon_H186 zenon_H18b zenon_H111 zenon_H173 zenon_H131 zenon_H133 zenon_H132 zenon_H143 zenon_H14c zenon_H14b zenon_H192 zenon_H104 zenon_H17e zenon_H1a3 zenon_H267 zenon_H1a7 zenon_H197 zenon_H196 zenon_H19c zenon_H178 zenon_H1b5 zenon_H270 zenon_H54 zenon_H9e zenon_H40 zenon_H67 zenon_Hcf zenon_H24b zenon_H1d0 zenon_H245 zenon_Hf0 zenon_H248 zenon_H244 zenon_Hba zenon_H9f zenon_H86 zenon_H76 zenon_H4d zenon_H56 zenon_H5d zenon_Ha9 zenon_Ha3 zenon_Ha4 zenon_Hb5 zenon_Haf zenon_Hb6 zenon_H22 zenon_H20 zenon_H39 zenon_H37 zenon_H49 zenon_Hbd zenon_H22d zenon_H1de zenon_H234 zenon_H1d1 zenon_H1cd zenon_H1d4 zenon_H1d9 zenon_Hc1 zenon_Hce zenon_Hd4 zenon_Hd8 zenon_Hdf zenon_H1ca zenon_H223 zenon_H20f zenon_H1f7 zenon_H1f4 zenon_H224 zenon_H21a zenon_H25b zenon_H237 zenon_H23e zenon_H26a zenon_H264 zenon_H259 zenon_H26d zenon_H25e zenon_H261 zenon_H2c zenon_H2a zenon_H29 zenon_H1dc zenon_Hb3 zenon_H41 zenon_H77 zenon_Hdb. % 196.35/196.54 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H1e | zenon_intro zenon_H4a ]. % 196.35/196.54 apply (zenon_L398_); trivial. % 196.35/196.54 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2b | zenon_intro zenon_H4b ]. % 196.35/196.54 apply (zenon_L5_); trivial. % 196.35/196.54 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H3f ]. % 196.35/196.54 apply (zenon_L212_); trivial. % 196.35/196.54 apply (zenon_L82_); trivial. % 196.35/196.54 (* end of lemma zenon_L403_ *) % 196.35/196.54 assert (zenon_L404_ : ((op2 (e21) (e23)) = (e22)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e13) (e11))) -> ((op1 (unit1) (e12)) = (e12)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> ((op1 (unit1) (e10)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((op1 (e11) (unit1)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e21) (unit2)) = (e21)) -> (~((h8 (op1 (e10) (e12))) = (op2 (h8 (e10)) (h8 (e12))))) -> ((op2 (e20) (e23)) = (e23)) -> ((op2 (e21) (e22)) = (e23)) -> ((h8 (e10)) = (op2 (e22) (e22))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> ((h8 (e12)) = (op2 (e21) (e22))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((op2 (e22) (unit2)) = (e22)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((op2 (unit2) (e23)) = (e23)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e22)) = (e22)) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((e20) = (e23))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e20) = (op2 (e21) (e21))) -> ((op2 (unit2) (e20)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (e22) (e23)) = (e21)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (unit2) (e21)) = (e21)) -> False). % 196.35/196.54 do 0 intro. intros zenon_Haa zenon_H121 zenon_H120 zenon_H105 zenon_H15b zenon_H10f zenon_H13b zenon_H172 zenon_H127 zenon_H11a zenon_H18e zenon_H13a zenon_H185 zenon_H186 zenon_H18b zenon_H111 zenon_H173 zenon_H131 zenon_H133 zenon_H132 zenon_H143 zenon_H14c zenon_H14b zenon_H192 zenon_H104 zenon_H17e zenon_H1a3 zenon_H267 zenon_H1a7 zenon_H197 zenon_H196 zenon_H19c zenon_H178 zenon_H1b5 zenon_H270 zenon_H54 zenon_H9e zenon_H40 zenon_H67 zenon_Hcf zenon_H24b zenon_H1d0 zenon_H245 zenon_Hf0 zenon_H248 zenon_H244 zenon_Hba zenon_H9f zenon_H86 zenon_H76 zenon_H4d zenon_H56 zenon_H5d zenon_Ha9 zenon_Ha3 zenon_Ha4 zenon_Hb5 zenon_Haf zenon_Hb6 zenon_H22 zenon_H20 zenon_H39 zenon_H37 zenon_H49 zenon_Hbd zenon_H22d zenon_H1de zenon_H234 zenon_H1d1 zenon_H1cd zenon_H1d4 zenon_H1d9 zenon_Hc1 zenon_Hce zenon_Hd4 zenon_Hd8 zenon_Hdf zenon_H1ca zenon_H223 zenon_H20f zenon_H1f7 zenon_H1f4 zenon_H224 zenon_H21a zenon_H25b zenon_H237 zenon_H23e zenon_H26a zenon_H264 zenon_H259 zenon_H26d zenon_H25e zenon_H261 zenon_H2c zenon_H2a zenon_H29 zenon_H1dc zenon_Hb3 zenon_H41 zenon_H77. % 196.35/196.54 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_Hc0 | zenon_intro zenon_He0 ]. % 196.35/196.54 apply (zenon_L251_); trivial. % 196.35/196.54 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hd0 | zenon_intro zenon_He1 ]. % 196.35/196.54 apply (zenon_L79_); trivial. % 196.35/196.54 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_H78 | zenon_intro zenon_Hdb ]. % 196.35/196.54 apply (zenon_L399_); trivial. % 196.35/196.54 apply (zenon_L403_); trivial. % 196.35/196.54 (* end of lemma zenon_L404_ *) % 196.35/196.54 assert (zenon_L405_ : ((op2 (e22) (e21)) = (e23)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e13) (e11))) -> ((op1 (unit1) (e12)) = (e12)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> ((op1 (unit1) (e10)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((op1 (e11) (unit1)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e21) (unit2)) = (e21)) -> (~((h8 (op1 (e10) (e12))) = (op2 (h8 (e10)) (h8 (e12))))) -> ((op2 (e20) (e23)) = (e23)) -> ((op2 (e21) (e22)) = (e23)) -> ((h8 (e10)) = (op2 (e22) (e22))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> ((h8 (e12)) = (op2 (e21) (e22))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((op2 (e22) (unit2)) = (e22)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((op2 (unit2) (e23)) = (e23)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e22)) = (e22)) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((e20) = (e23))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e20) = (op2 (e21) (e21))) -> ((op2 (unit2) (e20)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (e22) (e23)) = (e21)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (unit2) (e21)) = (e21)) -> False). % 196.35/196.54 do 0 intro. intros zenon_Hc7 zenon_H121 zenon_H120 zenon_H105 zenon_H15b zenon_H10f zenon_H13b zenon_H172 zenon_H127 zenon_H11a zenon_H18e zenon_H13a zenon_H185 zenon_H186 zenon_H18b zenon_H111 zenon_H173 zenon_H131 zenon_H133 zenon_H132 zenon_H143 zenon_H14c zenon_H14b zenon_H192 zenon_H104 zenon_H17e zenon_H1a3 zenon_H267 zenon_H1a7 zenon_H197 zenon_H196 zenon_H19c zenon_H178 zenon_H1b5 zenon_H270 zenon_H54 zenon_H9e zenon_H40 zenon_H67 zenon_Hcf zenon_H24b zenon_H1d0 zenon_H245 zenon_Hf0 zenon_H248 zenon_H244 zenon_Hba zenon_H9f zenon_H86 zenon_H76 zenon_H4d zenon_H56 zenon_H5d zenon_Ha9 zenon_Ha3 zenon_Ha4 zenon_Hb5 zenon_Haf zenon_Hb6 zenon_H22 zenon_H20 zenon_H39 zenon_H37 zenon_H49 zenon_Hbd zenon_H22d zenon_H1de zenon_H234 zenon_H1d1 zenon_H1cd zenon_H1d4 zenon_H1d9 zenon_Hc1 zenon_Hce zenon_Hd4 zenon_Hd8 zenon_Hdf zenon_H1ca zenon_H223 zenon_H20f zenon_H1f7 zenon_H1f4 zenon_H224 zenon_H21a zenon_H25b zenon_H237 zenon_H23e zenon_H26a zenon_H264 zenon_H259 zenon_H26d zenon_H25e zenon_H261 zenon_H2c zenon_H2a zenon_H29 zenon_H1dc zenon_Hb3 zenon_H41 zenon_H77. % 196.35/196.54 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_Hc0 | zenon_intro zenon_He0 ]. % 196.35/196.54 apply (zenon_L71_); trivial. % 196.35/196.54 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hd0 | zenon_intro zenon_He1 ]. % 196.35/196.54 apply (zenon_L79_); trivial. % 196.35/196.54 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_H78 | zenon_intro zenon_Hdb ]. % 196.35/196.54 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_H4e | zenon_intro zenon_Hb7 ]. % 196.35/196.54 apply (zenon_L402_); trivial. % 196.35/196.54 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_Haa | zenon_intro zenon_Hb8 ]. % 196.35/196.54 apply (zenon_L404_); trivial. % 196.35/196.54 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H7d ]. % 196.35/196.54 apply (zenon_L55_); trivial. % 196.35/196.54 apply (zenon_L31_); trivial. % 196.35/196.54 apply (zenon_L403_); trivial. % 196.35/196.54 (* end of lemma zenon_L405_ *) % 196.35/196.54 assert (zenon_L406_ : ((op2 (e22) (e20)) = (e22)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e13) (e11))) -> ((op1 (unit1) (e12)) = (e12)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> ((op1 (unit1) (e10)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((op1 (e11) (unit1)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((h8 (op1 (e10) (e12))) = (op2 (h8 (e10)) (h8 (e12))))) -> ((op2 (e20) (e23)) = (e23)) -> ((h8 (e10)) = (op2 (e22) (e22))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> ((h8 (e12)) = (op2 (e21) (e22))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((e20) = (e23))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((op2 (e21) (unit2)) = (e21)) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> ((op2 (unit2) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e21)) = (e21)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((op2 (e22) (unit2)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (unit2) (e23)) = (e23)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((op2 (unit2) (e22)) = (e22)) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> False). % 196.35/196.54 do 0 intro. intros zenon_H38 zenon_H121 zenon_H120 zenon_H105 zenon_H15b zenon_H10f zenon_H13b zenon_H172 zenon_H127 zenon_H11a zenon_H18e zenon_H13a zenon_H185 zenon_H186 zenon_H18b zenon_H111 zenon_H173 zenon_H131 zenon_H133 zenon_H132 zenon_H143 zenon_H14c zenon_H14b zenon_H192 zenon_H104 zenon_H17e zenon_H1a3 zenon_H267 zenon_H1a7 zenon_H197 zenon_H196 zenon_H19c zenon_H178 zenon_H1b5 zenon_H270 zenon_H24b zenon_H1d0 zenon_Hf0 zenon_H248 zenon_H244 zenon_H22 zenon_Hbd zenon_H22d zenon_H1de zenon_H234 zenon_H1d1 zenon_H1cd zenon_H1d9 zenon_Hd8 zenon_H1ca zenon_H223 zenon_H20f zenon_H1f7 zenon_H1f4 zenon_H224 zenon_H21a zenon_H25b zenon_H237 zenon_H23e zenon_H26a zenon_H264 zenon_H259 zenon_H26d zenon_H25e zenon_H261 zenon_Hdf zenon_Hc1 zenon_Hd4 zenon_Hce zenon_Hcf zenon_Hba zenon_H1d4 zenon_Ha3 zenon_H29 zenon_H2c zenon_Ha9 zenon_H2a zenon_H39 zenon_H77 zenon_H76 zenon_H4d zenon_Hb6 zenon_H9f zenon_H56 zenon_Hb3 zenon_Ha4 zenon_Haf zenon_H20 zenon_Hb5 zenon_H5d zenon_H49 zenon_H9e zenon_H67 zenon_H54 zenon_H86 zenon_H37 zenon_H40 zenon_H41. % 196.35/196.54 apply (zenon_or_s _ _ zenon_H248); [ zenon_intro zenon_H22c | zenon_intro zenon_H249 ]. % 196.35/196.54 apply (zenon_L328_); trivial. % 196.35/196.54 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_H8d | zenon_intro zenon_H24a ]. % 196.35/196.54 apply (zenon_L65_); trivial. % 196.35/196.54 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_H245 | zenon_intro zenon_H1d5 ]. % 196.35/196.54 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H21 | zenon_intro zenon_H1cb ]. % 196.35/196.54 apply (zenon_L10_); trivial. % 196.35/196.54 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H8d | zenon_intro zenon_H1cc ]. % 196.35/196.54 apply (zenon_L65_); trivial. % 196.35/196.54 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H61 ]. % 196.35/196.54 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_Hd9 | zenon_intro zenon_H1df ]. % 196.35/196.54 apply (zenon_L324_); trivial. % 196.35/196.54 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H1ce | zenon_intro zenon_H1e0 ]. % 196.35/196.54 apply (zenon_L401_); trivial. % 196.35/196.54 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H78 | zenon_intro zenon_H1dc ]. % 196.35/196.54 apply (zenon_L400_); trivial. % 196.35/196.54 apply (zenon_L405_); trivial. % 196.35/196.54 apply (zenon_L23_); trivial. % 196.35/196.54 apply (zenon_L357_); trivial. % 196.35/196.54 (* end of lemma zenon_L406_ *) % 196.35/196.54 assert (zenon_L407_ : (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((op2 (e21) (unit2)) = (e21)) -> ((op2 (e23) (e20)) = (e23)) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> ((op2 (e21) (e23)) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e21) (e23)) = (e23)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> ((op2 (unit2) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e21)) = (e21)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((op2 (e22) (unit2)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (unit2) (e23)) = (e23)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((op2 (unit2) (e22)) = (e22)) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> False). % 196.35/196.54 do 0 intro. intros zenon_Hdf zenon_Hc1 zenon_Hce zenon_Hcf zenon_H55 zenon_Hba zenon_Haa zenon_H1d4 zenon_H1d5 zenon_Ha3 zenon_H29 zenon_H2c zenon_Ha9 zenon_H2a zenon_H39 zenon_H77 zenon_H76 zenon_H4d zenon_Hb6 zenon_H9f zenon_H56 zenon_Hb3 zenon_Ha4 zenon_Haf zenon_H20 zenon_Hb5 zenon_H5d zenon_H49 zenon_H9e zenon_H67 zenon_H54 zenon_H86 zenon_H37 zenon_H40 zenon_H41. % 196.35/196.54 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_Hc0 | zenon_intro zenon_He0 ]. % 196.35/196.54 apply (zenon_L218_); trivial. % 196.35/196.54 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hd0 | zenon_intro zenon_He1 ]. % 196.35/196.54 apply (zenon_L74_); trivial. % 196.35/196.54 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_H78 | zenon_intro zenon_Hdb ]. % 196.35/196.54 apply (zenon_L300_); trivial. % 196.35/196.54 apply (zenon_L207_); trivial. % 196.35/196.54 (* end of lemma zenon_L407_ *) % 196.35/196.54 assert (zenon_L408_ : (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((e10) = (e13))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((e20) = (e23))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((h8 (e12)) = (op2 (e21) (e22))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> ((h8 (e10)) = (op2 (e22) (e22))) -> (~((h8 (op1 (e10) (e12))) = (op2 (h8 (e10)) (h8 (e12))))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((op1 (e11) (unit1)) = (e11)) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e10)) = (e10)) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (unit1) (e12)) = (e12)) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e22) (unit2)) = (e22)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e21)) = (e21)) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e21) (e23)) = (e22)) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> ((op2 (e23) (e20)) = (e23)) -> ((op2 (e21) (unit2)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> ((op2 (e22) (e20)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (unit2) (e20)) = (e20)) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (unit2) (e23)) = (e23)) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((op2 (unit2) (e22)) = (e22)) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> False). % 196.35/196.54 do 0 intro. intros zenon_Hd4 zenon_H261 zenon_H25e zenon_H26d zenon_H259 zenon_H264 zenon_H26a zenon_H23e zenon_H237 zenon_H25b zenon_H21a zenon_H224 zenon_H1f4 zenon_H1f7 zenon_H20f zenon_H223 zenon_H1ca zenon_Hd8 zenon_H1d9 zenon_H1cd zenon_H234 zenon_H1de zenon_H22d zenon_Hbd zenon_H22 zenon_H244 zenon_H248 zenon_Hf0 zenon_H24b zenon_H270 zenon_H1b5 zenon_H178 zenon_H19c zenon_H196 zenon_H197 zenon_H1a7 zenon_H267 zenon_H1a3 zenon_H17e zenon_H104 zenon_H192 zenon_H14b zenon_H14c zenon_H143 zenon_H132 zenon_H133 zenon_H131 zenon_H173 zenon_H111 zenon_H18b zenon_H186 zenon_H185 zenon_H13a zenon_H18e zenon_H11a zenon_H127 zenon_H172 zenon_H13b zenon_H10f zenon_H15b zenon_H105 zenon_H120 zenon_H121 zenon_H5d zenon_Hb5 zenon_Haf zenon_Ha4 zenon_Hb3 zenon_H56 zenon_H9f zenon_Hb6 zenon_H4d zenon_H76 zenon_H77 zenon_Ha9 zenon_Ha3 zenon_H1d4 zenon_Haa zenon_Hba zenon_H55 zenon_Hcf zenon_Hce zenon_Hc1 zenon_Hdf zenon_H38 zenon_H39 zenon_H29 zenon_H2a zenon_H2c zenon_H1d1 zenon_H20 zenon_H49 zenon_H9e zenon_H67 zenon_H54 zenon_H86 zenon_H37 zenon_H40 zenon_H41. % 196.35/196.54 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1da ]. % 196.35/196.54 apply (zenon_L406_); trivial. % 196.35/196.54 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H1db ]. % 196.35/196.54 apply (zenon_L407_); trivial. % 196.35/196.54 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1d7 | zenon_intro zenon_H87 ]. % 196.35/196.54 apply (zenon_L209_); trivial. % 196.35/196.54 apply (zenon_L40_); trivial. % 196.35/196.54 (* end of lemma zenon_L408_ *) % 196.35/196.54 assert (zenon_L409_ : (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (e21) (e21))) -> ((op2 (unit2) (e20)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (e22) (e20)) = (e22)) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((op2 (e21) (unit2)) = (e21)) -> ((op2 (e23) (e20)) = (e23)) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> ((op2 (unit2) (e21)) = (e21)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e13) (e11))) -> ((op1 (unit1) (e12)) = (e12)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> ((op1 (unit1) (e10)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((op1 (e11) (unit1)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((h8 (op1 (e10) (e12))) = (op2 (h8 (e10)) (h8 (e12))))) -> ((h8 (e10)) = (op2 (e22) (e22))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> ((h8 (e12)) = (op2 (e21) (e22))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((e20) = (e23))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (unit2) (e22)) = (e22)) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((op2 (unit2) (e23)) = (e23)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e22) (unit2)) = (e22)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> False). % 196.35/196.55 do 0 intro. intros zenon_H1d1 zenon_H2c zenon_H2a zenon_H29 zenon_H39 zenon_H38 zenon_Hdf zenon_Hc1 zenon_Hce zenon_Hcf zenon_H55 zenon_Hba zenon_H1d4 zenon_Ha3 zenon_Ha9 zenon_H77 zenon_H76 zenon_H4d zenon_Hb6 zenon_H121 zenon_H120 zenon_H105 zenon_H15b zenon_H10f zenon_H13b zenon_H172 zenon_H127 zenon_H11a zenon_H18e zenon_H13a zenon_H185 zenon_H186 zenon_H18b zenon_H111 zenon_H173 zenon_H131 zenon_H133 zenon_H132 zenon_H143 zenon_H14c zenon_H14b zenon_H192 zenon_H104 zenon_H17e zenon_H1a3 zenon_H267 zenon_H1a7 zenon_H197 zenon_H196 zenon_H19c zenon_H178 zenon_H1b5 zenon_H270 zenon_H24b zenon_Hf0 zenon_H248 zenon_H244 zenon_H22 zenon_Hbd zenon_H22d zenon_H1de zenon_H234 zenon_H1cd zenon_H1d9 zenon_Hd8 zenon_H1ca zenon_H223 zenon_H20f zenon_H1f7 zenon_H1f4 zenon_H224 zenon_H21a zenon_H25b zenon_H237 zenon_H23e zenon_H26a zenon_H264 zenon_H259 zenon_H26d zenon_H25e zenon_H261 zenon_Hd4 zenon_H41 zenon_H37 zenon_H86 zenon_H54 zenon_H9e zenon_H49 zenon_H5d zenon_Hb5 zenon_H20 zenon_Haf zenon_Ha4 zenon_Hb3 zenon_H56 zenon_H9f zenon_H40 zenon_H67. % 196.35/196.55 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_H4e | zenon_intro zenon_Hb7 ]. % 196.35/196.55 apply (zenon_L41_); trivial. % 196.35/196.55 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_Haa | zenon_intro zenon_Hb8 ]. % 196.35/196.55 apply (zenon_L408_); trivial. % 196.35/196.55 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H7d ]. % 196.35/196.55 apply (zenon_L55_); trivial. % 196.35/196.55 apply (zenon_L31_); trivial. % 196.35/196.55 (* end of lemma zenon_L409_ *) % 196.35/196.55 assert (zenon_L410_ : (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((op2 (e22) (unit2)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((e10) = (e13))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((e20) = (e23))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((h8 (e12)) = (op2 (e21) (e22))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> ((h8 (e10)) = (op2 (e22) (e22))) -> (~((h8 (op1 (e10) (e12))) = (op2 (h8 (e10)) (h8 (e12))))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((op1 (e11) (unit1)) = (e11)) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e10)) = (e10)) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (unit1) (e12)) = (e12)) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> ((op2 (e21) (unit2)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> ((op2 (e22) (e20)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (unit2) (e20)) = (e20)) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (unit2) (e23)) = (e23)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e21)) = (e21)) -> ((op2 (e22) (e22)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((op2 (unit2) (e22)) = (e22)) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> False). % 196.35/196.55 do 0 intro. intros zenon_H9f zenon_Hb3 zenon_Ha4 zenon_Haf zenon_Hb5 zenon_Hd4 zenon_H261 zenon_H25e zenon_H26d zenon_H259 zenon_H264 zenon_H26a zenon_H23e zenon_H237 zenon_H25b zenon_H21a zenon_H224 zenon_H1f4 zenon_H1f7 zenon_H20f zenon_H223 zenon_H1ca zenon_Hd8 zenon_H1d9 zenon_H1cd zenon_H234 zenon_H1de zenon_H22d zenon_Hbd zenon_H22 zenon_H244 zenon_H248 zenon_Hf0 zenon_H24b zenon_H270 zenon_H1b5 zenon_H178 zenon_H19c zenon_H196 zenon_H197 zenon_H1a7 zenon_H267 zenon_H1a3 zenon_H17e zenon_H104 zenon_H192 zenon_H14b zenon_H14c zenon_H143 zenon_H132 zenon_H133 zenon_H131 zenon_H173 zenon_H111 zenon_H18b zenon_H186 zenon_H185 zenon_H13a zenon_H18e zenon_H11a zenon_H127 zenon_H172 zenon_H13b zenon_H10f zenon_H15b zenon_H105 zenon_H120 zenon_H121 zenon_Hb6 zenon_H4d zenon_Ha9 zenon_Ha3 zenon_H1d4 zenon_Hba zenon_Hcf zenon_Hce zenon_Hc1 zenon_Hdf zenon_H38 zenon_H39 zenon_H1d1 zenon_H29 zenon_H2a zenon_H2c zenon_H56 zenon_H20 zenon_H76 zenon_H77 zenon_H78 zenon_H5d zenon_H49 zenon_H9e zenon_H67 zenon_H54 zenon_H86 zenon_H37 zenon_H40 zenon_H41. % 196.35/196.55 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H55 | zenon_intro zenon_Ha0 ]. % 196.35/196.55 apply (zenon_L409_); trivial. % 196.35/196.55 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_H61 | zenon_intro zenon_Ha1 ]. % 196.35/196.55 apply (zenon_L353_); trivial. % 196.35/196.55 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H6c | zenon_intro zenon_H87 ]. % 196.35/196.55 apply (zenon_L85_); trivial. % 196.35/196.55 apply (zenon_L40_); trivial. % 196.35/196.55 (* end of lemma zenon_L410_ *) % 196.35/196.55 assert (zenon_L411_ : ((op2 (e22) (e22)) = (e21)) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((op2 (e21) (unit2)) = (e21)) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e13) (e11))) -> ((op1 (unit1) (e12)) = (e12)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> ((op1 (unit1) (e10)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((op1 (e11) (unit1)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (~((h8 (op1 (e10) (e12))) = (op2 (h8 (e10)) (h8 (e12))))) -> ((h8 (e10)) = (op2 (e22) (e22))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> ((h8 (e12)) = (op2 (e21) (e22))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((e20) = (e23))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> ((op2 (e22) (e21)) = (e23)) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> ((op2 (unit2) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e21)) = (e21)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((op2 (e22) (unit2)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (unit2) (e23)) = (e23)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((op2 (unit2) (e22)) = (e22)) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> False). % 196.35/196.55 do 0 intro. intros zenon_H78 zenon_H1d1 zenon_Hdf zenon_Hc1 zenon_Hce zenon_Hcf zenon_Hba zenon_H1d4 zenon_H121 zenon_H120 zenon_H105 zenon_H15b zenon_H10f zenon_H13b zenon_H172 zenon_H127 zenon_H11a zenon_H18e zenon_H13a zenon_H185 zenon_H186 zenon_H18b zenon_H111 zenon_H173 zenon_H131 zenon_H133 zenon_H132 zenon_H143 zenon_H14c zenon_H14b zenon_H192 zenon_H104 zenon_H17e zenon_H1a3 zenon_H267 zenon_H1a7 zenon_H197 zenon_H196 zenon_H19c zenon_H178 zenon_H1b5 zenon_H270 zenon_H24b zenon_Hf0 zenon_H248 zenon_H244 zenon_H22 zenon_Hbd zenon_H22d zenon_H1de zenon_H234 zenon_H1cd zenon_H1d9 zenon_Hd8 zenon_H1ca zenon_H223 zenon_H20f zenon_H1f7 zenon_H1f4 zenon_H224 zenon_H21a zenon_H25b zenon_H237 zenon_H23e zenon_H26a zenon_H264 zenon_H259 zenon_H26d zenon_H25e zenon_H261 zenon_Hd4 zenon_Hc7 zenon_H2c zenon_H29 zenon_Ha3 zenon_Ha9 zenon_H2a zenon_H39 zenon_H77 zenon_H76 zenon_H4d zenon_Hb6 zenon_H9f zenon_H56 zenon_Hb3 zenon_Ha4 zenon_Haf zenon_H20 zenon_Hb5 zenon_H5d zenon_H49 zenon_H9e zenon_H67 zenon_H54 zenon_H86 zenon_H37 zenon_H40 zenon_H41. % 196.35/196.55 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H38 | zenon_intro zenon_Hbb ]. % 196.35/196.55 apply (zenon_L410_); trivial. % 196.35/196.55 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_Ha5 | zenon_intro zenon_Hbc ]. % 196.35/196.55 apply (zenon_L217_); trivial. % 196.35/196.55 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H85 | zenon_intro zenon_Hb0 ]. % 196.35/196.55 apply (zenon_L63_); trivial. % 196.35/196.55 apply (zenon_L55_); trivial. % 196.35/196.55 (* end of lemma zenon_L411_ *) % 196.35/196.55 assert (zenon_L412_ : (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((e10) = (e13))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((e20) = (e23))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((h8 (e12)) = (op2 (e21) (e22))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> ((h8 (e10)) = (op2 (e22) (e22))) -> (~((h8 (op1 (e10) (e12))) = (op2 (h8 (e10)) (h8 (e12))))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((op1 (e11) (unit1)) = (e11)) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e10)) = (e10)) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (unit1) (e12)) = (e12)) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op2 (e21) (unit2)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> ((op2 (e22) (e21)) = (e21)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e22) (e21)) = (e23)) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> ((op2 (unit2) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e21)) = (e21)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((op2 (e22) (unit2)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (unit2) (e23)) = (e23)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((op2 (unit2) (e22)) = (e22)) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> False). % 196.35/196.55 do 0 intro. intros zenon_Hd4 zenon_H261 zenon_H25e zenon_H26d zenon_H259 zenon_H264 zenon_H26a zenon_H23e zenon_H237 zenon_H25b zenon_H21a zenon_H224 zenon_H1f4 zenon_H1f7 zenon_H20f zenon_H223 zenon_H1ca zenon_Hd8 zenon_H234 zenon_H1de zenon_H22d zenon_Hbd zenon_H22 zenon_H244 zenon_H248 zenon_Hf0 zenon_H24b zenon_H270 zenon_H1b5 zenon_H178 zenon_H19c zenon_H196 zenon_H197 zenon_H1a7 zenon_H267 zenon_H1a3 zenon_H17e zenon_H104 zenon_H192 zenon_H14b zenon_H14c zenon_H143 zenon_H132 zenon_H133 zenon_H131 zenon_H173 zenon_H111 zenon_H18b zenon_H186 zenon_H185 zenon_H13a zenon_H18e zenon_H11a zenon_H127 zenon_H172 zenon_H13b zenon_H10f zenon_H15b zenon_H105 zenon_H120 zenon_H121 zenon_Hcf zenon_Hce zenon_Hc1 zenon_Hdf zenon_H1d9 zenon_H1cd zenon_H1ce zenon_H1d4 zenon_Hba zenon_H1d1 zenon_Hc7 zenon_H2c zenon_H29 zenon_Ha3 zenon_Ha9 zenon_H2a zenon_H39 zenon_H77 zenon_H76 zenon_H4d zenon_Hb6 zenon_H9f zenon_H56 zenon_Hb3 zenon_Ha4 zenon_Haf zenon_H20 zenon_Hb5 zenon_H5d zenon_H49 zenon_H9e zenon_H67 zenon_H54 zenon_H86 zenon_H37 zenon_H40 zenon_H41. % 196.35/196.55 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_Hc0 | zenon_intro zenon_He0 ]. % 196.35/196.55 apply (zenon_L218_); trivial. % 196.35/196.55 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hd0 | zenon_intro zenon_He1 ]. % 196.35/196.55 apply (zenon_L79_); trivial. % 196.35/196.55 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_H78 | zenon_intro zenon_Hdb ]. % 196.35/196.55 apply (zenon_L411_); trivial. % 196.35/196.55 apply (zenon_L250_); trivial. % 196.35/196.55 (* end of lemma zenon_L412_ *) % 196.35/196.55 assert (zenon_L413_ : (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((op2 (e22) (e23)) = (e21)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((e10) = (e13))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((e20) = (e23))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((op2 (e22) (unit2)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> ((h8 (e12)) = (op2 (e21) (e22))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> ((h8 (e10)) = (op2 (e22) (e22))) -> ((op2 (e21) (e22)) = (e23)) -> (~((h8 (op1 (e10) (e12))) = (op2 (h8 (e10)) (h8 (e12))))) -> ((op2 (e21) (unit2)) = (e21)) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((op1 (e11) (unit1)) = (e11)) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e10)) = (e10)) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (unit1) (e12)) = (e12)) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op2 (e23) (e22)) = (e21)) -> ((op2 (unit2) (e21)) = (e21)) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> ((op2 (e21) (e23)) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e22) (e20)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (unit2) (e20)) = (e20)) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (unit2) (e23)) = (e23)) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((op2 (unit2) (e22)) = (e22)) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> False). % 196.35/196.55 do 0 intro. intros zenon_Hb3 zenon_H1dc zenon_H261 zenon_H25e zenon_H26d zenon_H259 zenon_H264 zenon_H26a zenon_H23e zenon_H237 zenon_H25b zenon_H21a zenon_H224 zenon_H1f4 zenon_H1f7 zenon_H20f zenon_H223 zenon_H1ca zenon_Hdf zenon_Hd8 zenon_Hd4 zenon_Hce zenon_Hc1 zenon_H1d9 zenon_H1cd zenon_H234 zenon_H1de zenon_H22d zenon_Hbd zenon_H22 zenon_Hb6 zenon_Haf zenon_Hb5 zenon_Ha4 zenon_Ha3 zenon_H5d zenon_H56 zenon_H4d zenon_H76 zenon_H9f zenon_Hba zenon_H244 zenon_H248 zenon_Hf0 zenon_H245 zenon_H24b zenon_Hcf zenon_H270 zenon_H1b5 zenon_H178 zenon_H19c zenon_H196 zenon_H197 zenon_H1a7 zenon_H267 zenon_H1a3 zenon_H17e zenon_H104 zenon_H192 zenon_H14b zenon_H14c zenon_H143 zenon_H132 zenon_H133 zenon_H131 zenon_H173 zenon_H111 zenon_H18b zenon_H186 zenon_H185 zenon_H13a zenon_H18e zenon_H11a zenon_H127 zenon_H172 zenon_H13b zenon_H10f zenon_H15b zenon_H105 zenon_H120 zenon_H121 zenon_Hdb zenon_H77 zenon_Ha9 zenon_Haa zenon_H1d4 zenon_H38 zenon_H39 zenon_H29 zenon_H2a zenon_H2c zenon_H1d1 zenon_H20 zenon_H49 zenon_H9e zenon_H67 zenon_H54 zenon_H86 zenon_H37 zenon_H40 zenon_H41. % 196.35/196.55 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1da ]. % 196.35/196.55 apply (zenon_L403_); trivial. % 196.35/196.55 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H1db ]. % 196.35/196.55 apply (zenon_L206_); trivial. % 196.35/196.55 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1d7 | zenon_intro zenon_H87 ]. % 196.35/196.55 apply (zenon_L209_); trivial. % 196.35/196.55 apply (zenon_L40_); trivial. % 196.35/196.55 (* end of lemma zenon_L413_ *) % 196.35/196.55 assert (zenon_L414_ : (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (e21) (e21))) -> ((op2 (unit2) (e20)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (e22) (e20)) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> ((op2 (unit2) (e21)) = (e21)) -> ((op2 (e23) (e22)) = (e21)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e13) (e11))) -> ((op1 (unit1) (e12)) = (e12)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> ((op1 (unit1) (e10)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((op1 (e11) (unit1)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (((op1 (e10) (e12)) = (e12))\/(((op1 (e11) (e12)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e13) (e12)) = (e12))))) -> ((op2 (e21) (unit2)) = (e21)) -> (~((h8 (op1 (e10) (e12))) = (op2 (h8 (e10)) (h8 (e12))))) -> ((op2 (e21) (e22)) = (e23)) -> ((h8 (e10)) = (op2 (e22) (e22))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> ((h8 (e12)) = (op2 (e21) (e22))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((e20) = (e23))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e12)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op2 (e22) (e23)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (unit2) (e22)) = (e22)) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((op2 (unit2) (e23)) = (e23)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e22) (unit2)) = (e22)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> False). % 196.35/196.55 do 0 intro. intros zenon_H1d1 zenon_H2c zenon_H2a zenon_H29 zenon_H39 zenon_H38 zenon_H1d4 zenon_Ha9 zenon_H77 zenon_Hdb zenon_H121 zenon_H120 zenon_H105 zenon_H15b zenon_H10f zenon_H13b zenon_H172 zenon_H127 zenon_H11a zenon_H18e zenon_H13a zenon_H185 zenon_H186 zenon_H18b zenon_H111 zenon_H173 zenon_H131 zenon_H133 zenon_H132 zenon_H143 zenon_H14c zenon_H14b zenon_H192 zenon_H104 zenon_H17e zenon_H1a3 zenon_H267 zenon_H1a7 zenon_H197 zenon_H196 zenon_H19c zenon_H178 zenon_H1b5 zenon_H270 zenon_Hcf zenon_H24b zenon_H245 zenon_Hf0 zenon_H248 zenon_H244 zenon_Hba zenon_H76 zenon_H4d zenon_Ha3 zenon_Hb6 zenon_H22 zenon_Hbd zenon_H22d zenon_H1de zenon_H234 zenon_H1cd zenon_H1d9 zenon_Hc1 zenon_Hce zenon_Hd4 zenon_Hd8 zenon_Hdf zenon_H1ca zenon_H223 zenon_H20f zenon_H1f7 zenon_H1f4 zenon_H224 zenon_H21a zenon_H25b zenon_H237 zenon_H23e zenon_H26a zenon_H264 zenon_H259 zenon_H26d zenon_H25e zenon_H261 zenon_H1dc zenon_H41 zenon_H37 zenon_H86 zenon_H54 zenon_H9e zenon_H49 zenon_H5d zenon_Hb5 zenon_H20 zenon_Haf zenon_Ha4 zenon_Hb3 zenon_H56 zenon_H9f zenon_H40 zenon_H67. % 196.35/196.55 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_H4e | zenon_intro zenon_Hb7 ]. % 196.35/196.55 apply (zenon_L214_); trivial. % 196.35/196.55 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_Haa | zenon_intro zenon_Hb8 ]. % 196.35/196.55 apply (zenon_L413_); trivial. % 196.35/196.55 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H7d ]. % 196.35/196.55 apply (zenon_L55_); trivial. % 196.35/196.55 apply (zenon_L31_); trivial. % 196.35/196.55 (* end of lemma zenon_L414_ *) % 196.35/196.55 assert (zenon_L415_ : (((op1 (e10) (e10)) = (e10))/\(((op1 (e11) (e11)) = (e10))/\(((op1 (e12) (e12)) = (e10))/\((op1 (e13) (e13)) = (e10))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e12) (e13)) = (e10)) -> False). % 196.35/196.55 do 0 intro. intros zenon_H165 zenon_H273 zenon_H274. % 196.35/196.55 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_Hf4. zenon_intro zenon_H166. % 196.35/196.55 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H168. zenon_intro zenon_H167. % 196.35/196.55 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H144. zenon_intro zenon_H169. % 196.35/196.55 cut (((op1 (e12) (e13)) = (e10)) = ((op1 (e12) (e13)) = (op1 (e13) (e13)))). % 196.35/196.55 intro zenon_D_pnotp. % 196.35/196.55 apply zenon_H273. % 196.35/196.55 rewrite <- zenon_D_pnotp. % 196.35/196.55 exact zenon_H274. % 196.35/196.55 cut (((e10) = (op1 (e13) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H275]. % 196.35/196.55 cut (((op1 (e12) (e13)) = (op1 (e12) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H21f]. % 196.35/196.55 congruence. % 196.35/196.55 apply zenon_H21f. apply refl_equal. % 196.35/196.55 apply zenon_H275. apply sym_equal. exact zenon_H169. % 196.35/196.55 (* end of lemma zenon_L415_ *) % 196.35/196.55 assert (zenon_L416_ : (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((op1 (e11) (unit1)) = (e11)) -> ((unit1) = (e10)) -> ((op1 (e11) (e11)) = (e11)) -> False). % 196.35/196.55 do 0 intro. intros zenon_H131 zenon_H197 zenon_H102 zenon_H16f. % 196.35/196.55 cut (((op1 (e11) (unit1)) = (e11)) = ((op1 (e11) (e10)) = (op1 (e11) (e11)))). % 196.35/196.55 intro zenon_D_pnotp. % 196.35/196.55 apply zenon_H131. % 196.35/196.55 rewrite <- zenon_D_pnotp. % 196.35/196.55 exact zenon_H197. % 196.35/196.55 cut (((e11) = (op1 (e11) (e11)))); [idtac | apply NNPP; zenon_intro zenon_H276]. % 196.35/196.55 cut (((op1 (e11) (unit1)) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H19a]. % 196.35/196.55 congruence. % 196.35/196.55 elim (classic ((op1 (e11) (e10)) = (op1 (e11) (e10)))); [ zenon_intro zenon_H136 | zenon_intro zenon_H137 ]. % 196.35/196.55 cut (((op1 (e11) (e10)) = (op1 (e11) (e10))) = ((op1 (e11) (unit1)) = (op1 (e11) (e10)))). % 196.35/196.55 intro zenon_D_pnotp. % 196.35/196.55 apply zenon_H19a. % 196.35/196.55 rewrite <- zenon_D_pnotp. % 196.35/196.55 exact zenon_H136. % 196.35/196.55 cut (((op1 (e11) (e10)) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H137]. % 196.35/196.55 cut (((op1 (e11) (e10)) = (op1 (e11) (unit1)))); [idtac | apply NNPP; zenon_intro zenon_H195]. % 196.35/196.55 congruence. % 196.35/196.55 apply (zenon_L151_); trivial. % 196.35/196.55 apply zenon_H137. apply refl_equal. % 196.35/196.55 apply zenon_H137. apply refl_equal. % 196.35/196.55 apply zenon_H276. apply sym_equal. exact zenon_H16f. % 196.35/196.55 (* end of lemma zenon_L416_ *) % 196.35/196.55 assert (zenon_L417_ : (((op1 (e10) (e10)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\(((op1 (e12) (e12)) = (e11))/\((op1 (e13) (e13)) = (e11))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((op1 (e11) (unit1)) = (e11)) -> ((unit1) = (e10)) -> False). % 196.35/196.55 do 0 intro. intros zenon_H16b zenon_H131 zenon_H197 zenon_H102. % 196.35/196.55 apply (zenon_and_s _ _ zenon_H16b). zenon_intro zenon_H16d. zenon_intro zenon_H16c. % 196.35/196.55 apply (zenon_and_s _ _ zenon_H16c). zenon_intro zenon_H16f. zenon_intro zenon_H16e. % 196.35/196.55 apply (zenon_L416_); trivial. % 196.35/196.55 (* end of lemma zenon_L417_ *) % 196.35/196.55 assert (zenon_L418_ : (((op1 (e10) (e10)) = (e13))/\(((op1 (e11) (e11)) = (e13))/\(((op1 (e12) (e12)) = (e13))/\((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> ((unit1) = (e10)) -> False). % 196.35/196.55 do 0 intro. intros zenon_H15e zenon_H172 zenon_H10f zenon_H102. % 196.35/196.55 apply (zenon_and_s _ _ zenon_H15e). zenon_intro zenon_H160. zenon_intro zenon_H15f. % 196.35/196.55 apply (zenon_and_s _ _ zenon_H15f). zenon_intro zenon_H162. zenon_intro zenon_H161. % 196.35/196.55 apply (zenon_and_s _ _ zenon_H161). zenon_intro zenon_H163. zenon_intro zenon_H15c. % 196.35/196.55 apply (zenon_L131_); trivial. % 196.35/196.55 (* end of lemma zenon_L418_ *) % 196.35/196.55 assert (zenon_L419_ : ((op1 (e12) (e13)) = (e10)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (unit1)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> ((unit1) = (e10)) -> False). % 196.35/196.55 do 0 intro. intros zenon_H274 zenon_H273 zenon_H197 zenon_H131 zenon_H13b zenon_H120 zenon_H172 zenon_H10f zenon_H102. % 196.35/196.55 apply (zenon_or_s _ _ ax12); [ zenon_intro zenon_H165 | zenon_intro zenon_H164 ]. % 196.35/196.55 apply (zenon_L415_); trivial. % 196.35/196.55 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H16b | zenon_intro zenon_H16a ]. % 196.35/196.55 apply (zenon_L417_); trivial. % 196.35/196.55 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H155 | zenon_intro zenon_H15e ]. % 196.35/196.55 apply (zenon_L125_); trivial. % 196.35/196.55 apply (zenon_L418_); trivial. % 196.35/196.55 (* end of lemma zenon_L419_ *) % 196.35/196.55 assert (zenon_L420_ : (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((op1 (e11) (unit1)) = (e11)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e12) (e13)) = (e10)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e13) (e10)) = (e13)) -> ((op1 (e13) (unit1)) = (e13)) -> ((op1 (e12) (e12)) = (e11)) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e12)) = (e12)) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> False). % 196.35/196.55 do 0 intro. intros zenon_H127 zenon_H172 zenon_H13b zenon_H131 zenon_H197 zenon_H273 zenon_H274 zenon_H111 zenon_H110 zenon_H10f zenon_H14d zenon_H14c zenon_H14b zenon_H105 zenon_H120 zenon_H121. % 196.35/196.55 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H102 | zenon_intro zenon_H128 ]. % 196.35/196.55 apply (zenon_L419_); trivial. % 196.35/196.55 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H10d | zenon_intro zenon_H129 ]. % 196.35/196.55 apply (zenon_L104_); trivial. % 196.35/196.55 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H118 | zenon_intro zenon_H11f ]. % 196.35/196.55 apply (zenon_L123_); trivial. % 196.35/196.55 apply (zenon_L107_); trivial. % 196.35/196.55 (* end of lemma zenon_L420_ *) % 196.35/196.55 assert (zenon_L421_ : (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e12) (e12)) = (e10)) -> ((op1 (e13) (e12)) = (e10)) -> False). % 196.35/196.55 do 0 intro. intros zenon_H277 zenon_H144 zenon_H278. % 196.35/196.55 cut (((op1 (e12) (e12)) = (e10)) = ((op1 (e12) (e12)) = (op1 (e13) (e12)))). % 196.35/196.55 intro zenon_D_pnotp. % 196.35/196.55 apply zenon_H277. % 196.35/196.55 rewrite <- zenon_D_pnotp. % 196.35/196.55 exact zenon_H144. % 196.35/196.55 cut (((e10) = (op1 (e13) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H279]. % 196.35/196.55 cut (((op1 (e12) (e12)) = (op1 (e12) (e12)))); [idtac | apply NNPP; zenon_intro zenon_H191]. % 196.35/196.55 congruence. % 196.35/196.55 apply zenon_H191. apply refl_equal. % 196.35/196.55 apply zenon_H279. apply sym_equal. exact zenon_H278. % 196.35/196.55 (* end of lemma zenon_L421_ *) % 196.35/196.55 assert (zenon_L422_ : (((op1 (e10) (e10)) = (e12))/\(((op1 (e11) (e11)) = (e12))/\(((op1 (e12) (e12)) = (e12))/\((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (e12) (unit1)) = (e12)) -> ((unit1) = (e10)) -> False). % 196.35/196.55 do 0 intro. intros zenon_H155 zenon_H143 zenon_H186 zenon_H102. % 196.35/196.55 apply (zenon_and_s _ _ zenon_H155). zenon_intro zenon_H157. zenon_intro zenon_H156. % 196.35/196.55 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H159. zenon_intro zenon_H158. % 196.35/196.55 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H15a. zenon_intro zenon_H152. % 196.35/196.55 apply (zenon_L163_); trivial. % 196.35/196.55 (* end of lemma zenon_L422_ *) % 196.35/196.55 assert (zenon_L423_ : ((op1 (e13) (e12)) = (e10)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (unit1)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> ((unit1) = (e10)) -> False). % 196.35/196.55 do 0 intro. intros zenon_H278 zenon_H277 zenon_H197 zenon_H131 zenon_H186 zenon_H143 zenon_H172 zenon_H10f zenon_H102. % 196.35/196.55 apply (zenon_or_s _ _ ax12); [ zenon_intro zenon_H165 | zenon_intro zenon_H164 ]. % 196.35/196.55 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_Hf4. zenon_intro zenon_H166. % 196.35/196.55 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H168. zenon_intro zenon_H167. % 196.35/196.55 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H144. zenon_intro zenon_H169. % 196.35/196.55 apply (zenon_L421_); trivial. % 196.35/196.55 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H16b | zenon_intro zenon_H16a ]. % 196.35/196.55 apply (zenon_L417_); trivial. % 196.35/196.55 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H155 | zenon_intro zenon_H15e ]. % 196.35/196.55 apply (zenon_L422_); trivial. % 196.35/196.55 apply (zenon_L418_); trivial. % 196.35/196.55 (* end of lemma zenon_L423_ *) % 196.35/196.55 assert (zenon_L424_ : (~((h8 (op1 (e10) (e13))) = (op2 (h8 (e10)) (h8 (e13))))) -> ((op1 (e10) (e13)) = (e13)) -> ((op2 (e20) (e21)) = (e21)) -> ((h8 (e10)) = (op2 (e22) (e22))) -> ((op2 (e22) (e22)) = (e20)) -> ((h8 (e13)) = (e21)) -> False). % 196.35/196.55 do 0 intro. intros zenon_H27a zenon_H27b zenon_H27c zenon_Hf0 zenon_H6f zenon_H27d. % 196.35/196.55 cut (((h8 (e13)) = (e21)) = ((h8 (op1 (e10) (e13))) = (op2 (h8 (e10)) (h8 (e13))))). % 196.35/196.55 intro zenon_D_pnotp. % 196.35/196.55 apply zenon_H27a. % 196.35/196.55 rewrite <- zenon_D_pnotp. % 196.35/196.55 exact zenon_H27d. % 196.35/196.55 cut (((e21) = (op2 (h8 (e10)) (h8 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H27e]. % 196.35/196.55 cut (((h8 (e13)) = (h8 (op1 (e10) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H27f]. % 196.35/196.55 congruence. % 196.35/196.55 elim (classic ((h8 (op1 (e10) (e13))) = (h8 (op1 (e10) (e13))))); [ zenon_intro zenon_H280 | zenon_intro zenon_H281 ]. % 196.35/196.55 cut (((h8 (op1 (e10) (e13))) = (h8 (op1 (e10) (e13)))) = ((h8 (e13)) = (h8 (op1 (e10) (e13))))). % 196.35/196.55 intro zenon_D_pnotp. % 196.35/196.55 apply zenon_H27f. % 196.35/196.55 rewrite <- zenon_D_pnotp. % 196.35/196.55 exact zenon_H280. % 196.35/196.55 cut (((h8 (op1 (e10) (e13))) = (h8 (op1 (e10) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H281]. % 196.35/196.55 cut (((h8 (op1 (e10) (e13))) = (h8 (e13)))); [idtac | apply NNPP; zenon_intro zenon_H282]. % 196.35/196.55 congruence. % 196.35/196.55 cut (((op1 (e10) (e13)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H283]. % 196.35/196.55 congruence. % 196.35/196.55 exact (zenon_H283 zenon_H27b). % 196.35/196.55 apply zenon_H281. apply refl_equal. % 196.35/196.55 apply zenon_H281. apply refl_equal. % 196.35/196.55 elim (classic ((op2 (h8 (e10)) (h8 (e13))) = (op2 (h8 (e10)) (h8 (e13))))); [ zenon_intro zenon_H284 | zenon_intro zenon_H285 ]. % 196.35/196.55 cut (((op2 (h8 (e10)) (h8 (e13))) = (op2 (h8 (e10)) (h8 (e13)))) = ((e21) = (op2 (h8 (e10)) (h8 (e13))))). % 196.35/196.55 intro zenon_D_pnotp. % 196.35/196.55 apply zenon_H27e. % 196.35/196.55 rewrite <- zenon_D_pnotp. % 196.35/196.55 exact zenon_H284. % 196.35/196.55 cut (((op2 (h8 (e10)) (h8 (e13))) = (op2 (h8 (e10)) (h8 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H285]. % 196.35/196.55 cut (((op2 (h8 (e10)) (h8 (e13))) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H286]. % 196.35/196.55 congruence. % 196.35/196.55 cut (((op2 (e20) (e21)) = (e21)) = ((op2 (h8 (e10)) (h8 (e13))) = (e21))). % 196.35/196.55 intro zenon_D_pnotp. % 196.35/196.55 apply zenon_H286. % 196.35/196.55 rewrite <- zenon_D_pnotp. % 196.35/196.55 exact zenon_H27c. % 196.35/196.55 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H74]. % 196.35/196.55 cut (((op2 (e20) (e21)) = (op2 (h8 (e10)) (h8 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H287]. % 196.35/196.55 congruence. % 196.35/196.55 elim (classic ((op2 (h8 (e10)) (h8 (e13))) = (op2 (h8 (e10)) (h8 (e13))))); [ zenon_intro zenon_H284 | zenon_intro zenon_H285 ]. % 196.35/196.55 cut (((op2 (h8 (e10)) (h8 (e13))) = (op2 (h8 (e10)) (h8 (e13)))) = ((op2 (e20) (e21)) = (op2 (h8 (e10)) (h8 (e13))))). % 196.35/196.55 intro zenon_D_pnotp. % 196.35/196.55 apply zenon_H287. % 196.35/196.55 rewrite <- zenon_D_pnotp. % 196.35/196.55 exact zenon_H284. % 196.35/196.55 cut (((op2 (h8 (e10)) (h8 (e13))) = (op2 (h8 (e10)) (h8 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H285]. % 196.35/196.55 cut (((op2 (h8 (e10)) (h8 (e13))) = (op2 (e20) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H288]. % 196.35/196.55 congruence. % 196.35/196.55 cut (((h8 (e13)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H289]. % 196.35/196.55 cut (((h8 (e10)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_Hef]. % 196.35/196.55 congruence. % 196.35/196.55 apply (zenon_L94_); trivial. % 196.35/196.55 exact (zenon_H289 zenon_H27d). % 196.35/196.55 apply zenon_H285. apply refl_equal. % 196.35/196.55 apply zenon_H285. apply refl_equal. % 196.35/196.55 apply zenon_H74. apply refl_equal. % 196.35/196.55 apply zenon_H285. apply refl_equal. % 196.35/196.55 apply zenon_H285. apply refl_equal. % 196.35/196.55 (* end of lemma zenon_L424_ *) % 196.35/196.55 assert (zenon_L425_ : (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((h8 (e13)) = (e21)) -> ((op2 (e22) (e22)) = (e20)) -> ((h8 (e10)) = (op2 (e22) (e22))) -> ((op2 (e20) (e21)) = (e21)) -> (~((h8 (op1 (e10) (e13))) = (op2 (h8 (e10)) (h8 (e13))))) -> ((op1 (e12) (e10)) = (e12)) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e13) (e12)) = (e11)) -> ((op1 (unit1) (e11)) = (e11)) -> ((op1 (unit1) (e10)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (unit1) (e13)) = (e13)) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (unit1) (e12)) = (e12)) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> False). % 196.35/196.55 do 0 intro. intros zenon_H28a zenon_H27d zenon_H6f zenon_Hf0 zenon_H27c zenon_H27a zenon_H1a0 zenon_H267 zenon_H1b1 zenon_H14c zenon_H132 zenon_H143 zenon_H14b zenon_H131 zenon_H133 zenon_H261 zenon_H13a zenon_H127 zenon_H172 zenon_H13b zenon_H10f zenon_H15b zenon_H105 zenon_H120 zenon_H121. % 196.35/196.55 apply (zenon_or_s _ _ zenon_H28a); [ zenon_intro zenon_H27b | zenon_intro zenon_H28b ]. % 196.35/196.55 apply (zenon_L424_); trivial. % 196.35/196.55 apply (zenon_or_s _ _ zenon_H28b); [ zenon_intro zenon_H268 | zenon_intro zenon_H28c ]. % 196.35/196.55 apply (zenon_L375_); trivial. % 196.35/196.55 apply (zenon_or_s _ _ zenon_H28c); [ zenon_intro zenon_H262 | zenon_intro zenon_H15c ]. % 196.35/196.55 apply (zenon_L392_); trivial. % 196.35/196.55 apply (zenon_L133_); trivial. % 196.35/196.55 (* end of lemma zenon_L425_ *) % 196.35/196.55 assert (zenon_L426_ : (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> ((op1 (e12) (e11)) = (e12)) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> ((op1 (unit1) (e10)) = (e10)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((op1 (e12) (e13)) = (e11)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> ((op1 (e13) (e12)) = (e11)) -> False). % 196.35/196.55 do 0 intro. intros zenon_H127 zenon_H1a4 zenon_H186 zenon_H1a3 zenon_H133 zenon_H132 zenon_H131 zenon_H218 zenon_H18b zenon_H121 zenon_H14c zenon_H1b1. % 196.35/196.55 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H102 | zenon_intro zenon_H128 ]. % 196.35/196.55 apply (zenon_L159_); trivial. % 196.35/196.55 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H10d | zenon_intro zenon_H129 ]. % 196.35/196.55 apply (zenon_L112_); trivial. % 196.35/196.55 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H118 | zenon_intro zenon_H11f ]. % 196.35/196.55 apply (zenon_L282_); trivial. % 196.35/196.55 apply (zenon_L170_); trivial. % 196.35/196.55 (* end of lemma zenon_L426_ *) % 196.35/196.55 assert (zenon_L427_ : (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((h8 (op1 (e10) (e13))) = (op2 (h8 (e10)) (h8 (e13))))) -> ((op2 (e20) (e21)) = (e21)) -> ((h8 (e10)) = (op2 (e22) (e22))) -> ((op2 (e22) (e22)) = (e20)) -> ((h8 (e13)) = (e21)) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((op1 (e13) (e12)) = (e11)) -> ((op1 (e12) (e13)) = (e11)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e10)) = (e10)) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (unit1) (e12)) = (e12)) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> False). % 196.35/196.55 do 0 intro. intros zenon_H1a7 zenon_H261 zenon_H267 zenon_H27a zenon_H27c zenon_Hf0 zenon_H6f zenon_H27d zenon_H28a zenon_H1b1 zenon_H218 zenon_H1a3 zenon_H14b zenon_H14c zenon_H143 zenon_H132 zenon_H133 zenon_H131 zenon_H173 zenon_H111 zenon_H18b zenon_H186 zenon_H185 zenon_H13a zenon_H18e zenon_H11a zenon_H127 zenon_H172 zenon_H13b zenon_H10f zenon_H15b zenon_H105 zenon_H120 zenon_H121. % 196.35/196.55 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H1a0 | zenon_intro zenon_H1a8 ]. % 196.35/196.55 apply (zenon_L425_); trivial. % 196.35/196.55 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H1a4 | zenon_intro zenon_H1a9 ]. % 196.35/196.55 apply (zenon_L426_); trivial. % 196.35/196.55 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_H15a | zenon_intro zenon_H187 ]. % 196.35/196.55 apply (zenon_L165_); trivial. % 196.35/196.55 apply (zenon_L149_); trivial. % 196.35/196.55 (* end of lemma zenon_L427_ *) % 196.35/196.55 assert (zenon_L428_ : (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e13) (e11))) -> ((op1 (unit1) (e12)) = (e12)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> ((op1 (unit1) (e10)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((op1 (e12) (e13)) = (e11)) -> ((op1 (e13) (e12)) = (e11)) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((h8 (e13)) = (e21)) -> ((h8 (e10)) = (op2 (e22) (e22))) -> ((op2 (e20) (e21)) = (e21)) -> (~((h8 (op1 (e10) (e13))) = (op2 (h8 (e10)) (h8 (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((op2 (e21) (unit2)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (e23) (unit2)) = (e23)) -> ((unit2) = (e20)) -> False). % 196.35/196.55 do 0 intro. intros zenon_H121 zenon_H120 zenon_H105 zenon_H15b zenon_H10f zenon_H13b zenon_H172 zenon_H127 zenon_H11a zenon_H18e zenon_H13a zenon_H185 zenon_H186 zenon_H18b zenon_H111 zenon_H173 zenon_H131 zenon_H133 zenon_H132 zenon_H143 zenon_H14c zenon_H14b zenon_H1a3 zenon_H218 zenon_H1b1 zenon_H28a zenon_H27d zenon_Hf0 zenon_H27c zenon_H27a zenon_H267 zenon_H261 zenon_H1a7 zenon_Hcf zenon_H29 zenon_H67 zenon_H40 zenon_H9e zenon_H54 zenon_H1e. % 196.35/196.55 apply (zenon_or_s _ _ ax13); [ zenon_intro zenon_H90 | zenon_intro zenon_H8f ]. % 196.35/196.55 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H92. zenon_intro zenon_H91. % 196.35/196.55 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H94. zenon_intro zenon_H93. % 196.35/196.55 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_H6f. zenon_intro zenon_H95. % 196.35/196.55 apply (zenon_L427_); trivial. % 196.35/196.55 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H97 | zenon_intro zenon_H96 ]. % 196.35/196.55 apply (zenon_L91_); trivial. % 196.35/196.55 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H80 | zenon_intro zenon_H89 ]. % 196.35/196.55 apply (zenon_L32_); trivial. % 196.35/196.55 apply (zenon_L92_); trivial. % 196.35/196.55 (* end of lemma zenon_L428_ *) % 196.35/196.55 assert (zenon_L429_ : (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> ((op1 (e11) (unit1)) = (e11)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((unit2) = (e20)) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (e21) (unit2)) = (e21)) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((h8 (op1 (e10) (e13))) = (op2 (h8 (e10)) (h8 (e13))))) -> ((op2 (e20) (e21)) = (e21)) -> ((h8 (e10)) = (op2 (e22) (e22))) -> ((h8 (e13)) = (e21)) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((op1 (e12) (e13)) = (e11)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e10)) = (e10)) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (unit1) (e12)) = (e12)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e13) (unit1)) = (e13)) -> ((unit1) = (e10)) -> False). % 196.35/196.55 do 0 intro. intros zenon_H28d zenon_H197 zenon_H277 zenon_H1e zenon_H54 zenon_H9e zenon_H40 zenon_H67 zenon_H29 zenon_Hcf zenon_H1a7 zenon_H261 zenon_H267 zenon_H27a zenon_H27c zenon_Hf0 zenon_H27d zenon_H28a zenon_H218 zenon_H1a3 zenon_H14b zenon_H14c zenon_H143 zenon_H132 zenon_H133 zenon_H131 zenon_H173 zenon_H111 zenon_H18b zenon_H186 zenon_H185 zenon_H13a zenon_H18e zenon_H127 zenon_H172 zenon_H13b zenon_H15b zenon_H120 zenon_H121 zenon_H105 zenon_H26d zenon_H11a zenon_H10f zenon_H102. % 196.35/196.55 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H278 | zenon_intro zenon_H28e ]. % 196.35/196.55 apply (zenon_L423_); trivial. % 196.35/196.55 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H1b1 | zenon_intro zenon_H28f ]. % 196.35/196.55 apply (zenon_L428_); trivial. % 196.35/196.55 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H26e | zenon_intro zenon_H140 ]. % 196.35/196.55 apply (zenon_L381_); trivial. % 196.35/196.55 apply (zenon_L117_); trivial. % 196.35/196.55 (* end of lemma zenon_L429_ *) % 196.35/196.55 assert (zenon_L430_ : ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> ((op1 (e11) (unit1)) = (e11)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((unit2) = (e20)) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (e21) (unit2)) = (e21)) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((h8 (op1 (e10) (e13))) = (op2 (h8 (e10)) (h8 (e13))))) -> ((op2 (e20) (e21)) = (e21)) -> ((h8 (e10)) = (op2 (e22) (e22))) -> ((h8 (e13)) = (e21)) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e10)) = (e10)) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e12) (e12)) = (e11)) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e10)) = (e13)) -> ((op1 (e13) (unit1)) = (e13)) -> ((op1 (unit1) (e12)) = (e12)) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> False). % 196.35/196.55 do 0 intro. intros zenon_H13a zenon_H261 zenon_H185 zenon_H186 zenon_H28d zenon_H197 zenon_H277 zenon_H1e zenon_H54 zenon_H9e zenon_H40 zenon_H67 zenon_H29 zenon_Hcf zenon_H1a7 zenon_H267 zenon_H27a zenon_H27c zenon_Hf0 zenon_H27d zenon_H28a zenon_H1a3 zenon_H14b zenon_H14c zenon_H143 zenon_H132 zenon_H133 zenon_H131 zenon_H173 zenon_H18b zenon_H18e zenon_H127 zenon_H172 zenon_H13b zenon_H15b zenon_H26d zenon_H273 zenon_H14d zenon_H290 zenon_H111 zenon_H11a zenon_H110 zenon_H10f zenon_H105 zenon_H120 zenon_H121. % 196.35/196.55 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H102 | zenon_intro zenon_H128 ]. % 196.35/196.55 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_H274 | zenon_intro zenon_H291 ]. % 196.35/196.55 apply (zenon_L420_); trivial. % 196.35/196.55 apply (zenon_or_s _ _ zenon_H291); [ zenon_intro zenon_H218 | zenon_intro zenon_H292 ]. % 196.35/196.55 apply (zenon_L429_); trivial. % 196.35/196.55 apply (zenon_or_s _ _ zenon_H292); [ zenon_intro zenon_H187 | zenon_intro zenon_H262 ]. % 196.35/196.55 apply (zenon_L142_); trivial. % 196.35/196.55 apply (zenon_L368_); trivial. % 196.35/196.55 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H10d | zenon_intro zenon_H129 ]. % 196.35/196.55 apply (zenon_L104_); trivial. % 196.35/196.55 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H118 | zenon_intro zenon_H11f ]. % 196.35/196.55 apply (zenon_L106_); trivial. % 196.35/196.55 apply (zenon_L107_); trivial. % 196.35/196.55 (* end of lemma zenon_L430_ *) % 196.35/196.55 assert (zenon_L431_ : (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((h8 (e13)) = (e21)) -> ((h8 (e10)) = (op2 (e22) (e22))) -> ((op2 (e20) (e21)) = (e21)) -> (~((h8 (op1 (e10) (e13))) = (op2 (h8 (e10)) (h8 (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((op2 (e21) (unit2)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (e23) (unit2)) = (e23)) -> ((unit2) = (e20)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (unit1)) = (e11)) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((op1 (unit1) (e10)) = (e10)) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> ((op1 (e12) (e12)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (unit1) (e12)) = (e12)) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> False). % 196.35/196.55 do 0 intro. intros zenon_H290 zenon_H273 zenon_H26d zenon_H18e zenon_H18b zenon_H173 zenon_H143 zenon_H1a3 zenon_H28a zenon_H27d zenon_Hf0 zenon_H27c zenon_H27a zenon_H267 zenon_H1a7 zenon_Hcf zenon_H29 zenon_H67 zenon_H40 zenon_H9e zenon_H54 zenon_H1e zenon_H277 zenon_H197 zenon_H28d zenon_H186 zenon_H185 zenon_H261 zenon_H131 zenon_H132 zenon_H133 zenon_H111 zenon_H13a zenon_H14b zenon_H14c zenon_H14d zenon_H11a zenon_H127 zenon_H172 zenon_H13b zenon_H10f zenon_H15b zenon_H105 zenon_H120 zenon_H121. % 196.35/196.55 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H110 | zenon_intro zenon_H174 ]. % 196.35/196.55 apply (zenon_L430_); trivial. % 196.35/196.55 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H12b | zenon_intro zenon_H175 ]. % 196.35/196.55 apply (zenon_L341_); trivial. % 196.35/196.55 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H140 | zenon_intro zenon_H15c ]. % 196.35/196.55 apply (zenon_L191_); trivial. % 196.35/196.55 apply (zenon_L133_); trivial. % 196.35/196.55 (* end of lemma zenon_L431_ *) % 196.35/196.55 assert (zenon_L432_ : (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> ((op1 (e11) (unit1)) = (e11)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e13) (e11))) -> ((op1 (unit1) (e12)) = (e12)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> ((op1 (unit1) (e10)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((h8 (e13)) = (e21)) -> ((h8 (e10)) = (op2 (e22) (e22))) -> ((op2 (e20) (e21)) = (e21)) -> (~((h8 (op1 (e10) (e13))) = (op2 (h8 (e10)) (h8 (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((op2 (e21) (unit2)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (e23) (unit2)) = (e23)) -> ((unit2) = (e20)) -> False). % 196.35/196.55 do 0 intro. intros zenon_H224 zenon_H1f4 zenon_H1f7 zenon_H1b5 zenon_H178 zenon_H192 zenon_H104 zenon_H17e zenon_H19c zenon_H196 zenon_H28d zenon_H197 zenon_H277 zenon_H26d zenon_H273 zenon_H290 zenon_H121 zenon_H120 zenon_H105 zenon_H15b zenon_H10f zenon_H13b zenon_H172 zenon_H127 zenon_H11a zenon_H18e zenon_H13a zenon_H185 zenon_H186 zenon_H18b zenon_H111 zenon_H173 zenon_H131 zenon_H133 zenon_H132 zenon_H143 zenon_H14c zenon_H14b zenon_H1a3 zenon_H28a zenon_H27d zenon_Hf0 zenon_H27c zenon_H27a zenon_H267 zenon_H261 zenon_H1a7 zenon_Hcf zenon_H29 zenon_H67 zenon_H40 zenon_H9e zenon_H54 zenon_H1e. % 196.35/196.55 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H226 ]. % 196.35/196.55 apply (zenon_L269_); trivial. % 196.35/196.55 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_H1f8 | zenon_intro zenon_H227 ]. % 196.35/196.55 apply (zenon_L349_); trivial. % 196.35/196.55 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H14d | zenon_intro zenon_H218 ]. % 196.35/196.55 apply (zenon_L431_); trivial. % 196.35/196.55 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H177 | zenon_intro zenon_H1b6 ]. % 196.35/196.55 apply (zenon_L150_); trivial. % 196.35/196.55 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H198 | zenon_intro zenon_H1b7 ]. % 196.35/196.55 apply (zenon_L292_); trivial. % 196.35/196.55 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H14d | zenon_intro zenon_H1b1 ]. % 196.35/196.55 apply (zenon_L431_); trivial. % 196.35/196.55 apply (zenon_L428_); trivial. % 196.35/196.55 (* end of lemma zenon_L432_ *) % 196.35/196.55 assert (zenon_L433_ : (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (e21) (unit2)) = (e21)) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((h8 (op1 (e10) (e13))) = (op2 (h8 (e10)) (h8 (e13))))) -> ((op2 (e20) (e21)) = (e21)) -> ((h8 (e10)) = (op2 (e22) (e22))) -> ((h8 (e13)) = (e21)) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e10)) = (e10)) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (unit1) (e12)) = (e12)) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (unit1)) = (e11)) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e20)) = (e23)) -> ((op2 (e23) (unit2)) = (e23)) -> ((op2 (unit2) (e22)) = (e22)) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> False). % 196.35/196.55 do 0 intro. intros zenon_H49 zenon_H9e zenon_H67 zenon_H29 zenon_Hcf zenon_H1a7 zenon_H261 zenon_H267 zenon_H27a zenon_H27c zenon_Hf0 zenon_H27d zenon_H28a zenon_H1a3 zenon_H14b zenon_H14c zenon_H143 zenon_H132 zenon_H133 zenon_H131 zenon_H173 zenon_H111 zenon_H18b zenon_H186 zenon_H185 zenon_H13a zenon_H18e zenon_H11a zenon_H127 zenon_H172 zenon_H13b zenon_H10f zenon_H15b zenon_H105 zenon_H120 zenon_H121 zenon_H290 zenon_H273 zenon_H26d zenon_H277 zenon_H197 zenon_H28d zenon_H196 zenon_H19c zenon_H17e zenon_H104 zenon_H192 zenon_H178 zenon_H1b5 zenon_H1f7 zenon_H1f4 zenon_H224 zenon_H56 zenon_H5d zenon_H55 zenon_H54 zenon_H37 zenon_H40 zenon_H41. % 196.35/196.55 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H1e | zenon_intro zenon_H4a ]. % 196.35/196.55 apply (zenon_L432_); trivial. % 196.35/196.55 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2b | zenon_intro zenon_H4b ]. % 196.35/196.55 apply (zenon_L14_); trivial. % 196.35/196.55 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H3f ]. % 196.35/196.55 apply (zenon_L16_); trivial. % 196.35/196.55 apply (zenon_L9_); trivial. % 196.35/196.55 (* end of lemma zenon_L433_ *) % 196.35/196.55 assert (zenon_L434_ : (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> ((op1 (e11) (unit1)) = (e11)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e13) (e11))) -> ((op1 (unit1) (e12)) = (e12)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> ((op1 (unit1) (e10)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((h8 (e13)) = (e21)) -> ((h8 (e10)) = (op2 (e22) (e22))) -> ((op2 (e20) (e21)) = (e21)) -> (~((h8 (op1 (e10) (e13))) = (op2 (h8 (e10)) (h8 (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((op2 (e21) (unit2)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (unit2) (e20)) = (e20)) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (unit2) (e23)) = (e23)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e21)) = (e21)) -> ((op2 (e22) (e22)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((op2 (unit2) (e22)) = (e22)) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> False). % 196.35/196.55 do 0 intro. intros zenon_H9f zenon_H224 zenon_H1f4 zenon_H1f7 zenon_H1b5 zenon_H178 zenon_H192 zenon_H104 zenon_H17e zenon_H19c zenon_H196 zenon_H28d zenon_H197 zenon_H277 zenon_H26d zenon_H273 zenon_H290 zenon_H121 zenon_H120 zenon_H105 zenon_H15b zenon_H10f zenon_H13b zenon_H172 zenon_H127 zenon_H11a zenon_H18e zenon_H13a zenon_H185 zenon_H186 zenon_H18b zenon_H111 zenon_H173 zenon_H131 zenon_H133 zenon_H132 zenon_H143 zenon_H14c zenon_H14b zenon_H1a3 zenon_H28a zenon_H27d zenon_Hf0 zenon_H27c zenon_H27a zenon_H267 zenon_H261 zenon_H1a7 zenon_Hcf zenon_H29 zenon_H2a zenon_H2c zenon_H56 zenon_H20 zenon_H76 zenon_H77 zenon_H78 zenon_H5d zenon_H49 zenon_H9e zenon_H67 zenon_H54 zenon_H86 zenon_H37 zenon_H40 zenon_H41. % 196.35/196.55 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H55 | zenon_intro zenon_Ha0 ]. % 196.35/196.55 apply (zenon_L433_); trivial. % 196.35/196.55 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_H61 | zenon_intro zenon_Ha1 ]. % 196.35/196.55 apply (zenon_L353_); trivial. % 196.35/196.55 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H6c | zenon_intro zenon_H87 ]. % 196.35/196.55 apply (zenon_L85_); trivial. % 196.35/196.55 apply (zenon_L40_); trivial. % 196.35/196.55 (* end of lemma zenon_L434_ *) % 196.35/196.55 assert (zenon_L435_ : (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((op2 (e21) (unit2)) = (e21)) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((h8 (op1 (e10) (e13))) = (op2 (h8 (e10)) (h8 (e13))))) -> ((op2 (e20) (e21)) = (e21)) -> ((h8 (e10)) = (op2 (e22) (e22))) -> ((h8 (e13)) = (e21)) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e10)) = (e10)) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (unit1) (e12)) = (e12)) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (unit1)) = (e11)) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> ((op2 (e22) (e21)) = (e21)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e22) (e21)) = (e23)) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> ((op2 (unit2) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e21)) = (e21)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((op2 (e22) (unit2)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (unit2) (e23)) = (e23)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((op2 (unit2) (e22)) = (e22)) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> False). % 196.35/196.55 do 0 intro. intros zenon_Hdf zenon_Hc1 zenon_Hd4 zenon_Hce zenon_Hcf zenon_H1a7 zenon_H261 zenon_H267 zenon_H27a zenon_H27c zenon_Hf0 zenon_H27d zenon_H28a zenon_H1a3 zenon_H14b zenon_H14c zenon_H143 zenon_H132 zenon_H133 zenon_H131 zenon_H173 zenon_H111 zenon_H18b zenon_H186 zenon_H185 zenon_H13a zenon_H18e zenon_H11a zenon_H127 zenon_H172 zenon_H13b zenon_H10f zenon_H15b zenon_H105 zenon_H120 zenon_H121 zenon_H290 zenon_H273 zenon_H26d zenon_H277 zenon_H197 zenon_H28d zenon_H196 zenon_H19c zenon_H17e zenon_H104 zenon_H192 zenon_H178 zenon_H1b5 zenon_H1f7 zenon_H1f4 zenon_H224 zenon_H1d9 zenon_H1cd zenon_H1ce zenon_H1d4 zenon_Hba zenon_H1d1 zenon_Hc7 zenon_H2c zenon_H29 zenon_Ha3 zenon_Ha9 zenon_H2a zenon_H39 zenon_H77 zenon_H76 zenon_H4d zenon_Hb6 zenon_H9f zenon_H56 zenon_Hb3 zenon_Ha4 zenon_Haf zenon_H20 zenon_Hb5 zenon_H5d zenon_H49 zenon_H9e zenon_H67 zenon_H54 zenon_H86 zenon_H37 zenon_H40 zenon_H41. % 196.35/196.55 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_Hc0 | zenon_intro zenon_He0 ]. % 196.35/196.55 apply (zenon_L218_); trivial. % 196.35/196.55 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hd0 | zenon_intro zenon_He1 ]. % 196.35/196.55 apply (zenon_L79_); trivial. % 196.35/196.55 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_H78 | zenon_intro zenon_Hdb ]. % 196.35/196.55 apply (zenon_L434_); trivial. % 196.35/196.55 apply (zenon_L250_); trivial. % 196.35/196.55 (* end of lemma zenon_L435_ *) % 196.35/196.55 assert (zenon_L436_ : (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> ((op1 (e11) (unit1)) = (e11)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e13) (e11))) -> ((op1 (unit1) (e12)) = (e12)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> ((op1 (unit1) (e10)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((h8 (e13)) = (e21)) -> ((h8 (e10)) = (op2 (e22) (e22))) -> ((op2 (e20) (e21)) = (e21)) -> (~((h8 (op1 (e10) (e13))) = (op2 (h8 (e10)) (h8 (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((op2 (e21) (unit2)) = (e21)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> ((op2 (e22) (e22)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (unit2) (e20)) = (e20)) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (unit2) (e23)) = (e23)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((op2 (unit2) (e21)) = (e21)) -> ((op2 (e22) (e23)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((op2 (unit2) (e22)) = (e22)) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> False). % 196.35/196.55 do 0 intro. intros zenon_H9f zenon_H224 zenon_H1f4 zenon_H1f7 zenon_H1b5 zenon_H178 zenon_H192 zenon_H104 zenon_H17e zenon_H19c zenon_H196 zenon_H28d zenon_H197 zenon_H277 zenon_H26d zenon_H273 zenon_H290 zenon_H121 zenon_H120 zenon_H105 zenon_H15b zenon_H10f zenon_H13b zenon_H172 zenon_H127 zenon_H11a zenon_H18e zenon_H13a zenon_H185 zenon_H186 zenon_H18b zenon_H111 zenon_H173 zenon_H131 zenon_H133 zenon_H132 zenon_H143 zenon_H14c zenon_H14b zenon_H1a3 zenon_H28a zenon_H27d zenon_Hf0 zenon_H27c zenon_H27a zenon_H267 zenon_H261 zenon_H1a7 zenon_Hcf zenon_H76 zenon_H78 zenon_H29 zenon_H2a zenon_H2c zenon_H56 zenon_H20 zenon_Hb3 zenon_H77 zenon_H1dc zenon_H5d zenon_H49 zenon_H9e zenon_H67 zenon_H54 zenon_H86 zenon_H37 zenon_H40 zenon_H41. % 196.35/196.55 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H55 | zenon_intro zenon_Ha0 ]. % 196.35/196.55 apply (zenon_L433_); trivial. % 196.35/196.55 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_H61 | zenon_intro zenon_Ha1 ]. % 196.35/196.55 apply (zenon_L353_); trivial. % 196.35/196.55 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H6c | zenon_intro zenon_H87 ]. % 196.35/196.55 apply (zenon_L213_); trivial. % 196.35/196.55 apply (zenon_L40_); trivial. % 196.35/196.55 (* end of lemma zenon_L436_ *) % 196.35/196.55 assert (zenon_L437_ : (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e21) (unit2)) = (e21)) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((h8 (op1 (e10) (e13))) = (op2 (h8 (e10)) (h8 (e13))))) -> ((op2 (e20) (e21)) = (e21)) -> ((h8 (e10)) = (op2 (e22) (e22))) -> ((h8 (e13)) = (e21)) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e10)) = (e10)) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (unit1) (e12)) = (e12)) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (unit1)) = (e11)) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> ((e20) = (op2 (e21) (e21))) -> ((op2 (unit2) (e20)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (e22) (e23)) = (e21)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (unit2) (e21)) = (e21)) -> ((op2 (e23) (e22)) = (e21)) -> False). % 196.35/196.55 do 0 intro. intros zenon_H49 zenon_H54 zenon_H9e zenon_H40 zenon_H67 zenon_Hcf zenon_H1a7 zenon_H261 zenon_H267 zenon_H27a zenon_H27c zenon_Hf0 zenon_H27d zenon_H28a zenon_H1a3 zenon_H14b zenon_H14c zenon_H143 zenon_H132 zenon_H133 zenon_H131 zenon_H173 zenon_H111 zenon_H18b zenon_H186 zenon_H185 zenon_H13a zenon_H18e zenon_H11a zenon_H127 zenon_H172 zenon_H13b zenon_H10f zenon_H15b zenon_H105 zenon_H120 zenon_H121 zenon_H290 zenon_H273 zenon_H26d zenon_H277 zenon_H197 zenon_H28d zenon_H196 zenon_H19c zenon_H17e zenon_H104 zenon_H192 zenon_H178 zenon_H1b5 zenon_H1f7 zenon_H1f4 zenon_H224 zenon_H2c zenon_H2a zenon_H29 zenon_H1dc zenon_Hb3 zenon_H41 zenon_H77 zenon_Hdb. % 196.35/196.55 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H1e | zenon_intro zenon_H4a ]. % 196.35/196.55 apply (zenon_L432_); trivial. % 196.35/196.55 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2b | zenon_intro zenon_H4b ]. % 196.35/196.55 apply (zenon_L5_); trivial. % 196.35/196.55 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H3f ]. % 196.35/196.55 apply (zenon_L212_); trivial. % 196.35/196.55 apply (zenon_L82_); trivial. % 196.35/196.55 (* end of lemma zenon_L437_ *) % 196.35/196.55 assert (zenon_L438_ : (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e22) (unit2)) = (e22)) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> ((op2 (unit2) (e22)) = (e22)) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (unit2) (e23)) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e21) (unit2)) = (e21)) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((h8 (op1 (e10) (e13))) = (op2 (h8 (e10)) (h8 (e13))))) -> ((op2 (e20) (e21)) = (e21)) -> ((h8 (e10)) = (op2 (e22) (e22))) -> ((h8 (e13)) = (e21)) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e10)) = (e10)) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (unit1) (e12)) = (e12)) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (unit1)) = (e11)) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> ((e20) = (op2 (e21) (e21))) -> ((op2 (unit2) (e20)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (e22) (e23)) = (e21)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (unit2) (e21)) = (e21)) -> False). % 196.35/196.55 do 0 intro. intros zenon_Hdf zenon_Hc1 zenon_Hb5 zenon_Haf zenon_Ha4 zenon_Hb6 zenon_H4d zenon_H39 zenon_Ha9 zenon_Ha3 zenon_Hd4 zenon_Hce zenon_Hba zenon_H37 zenon_H86 zenon_H5d zenon_H20 zenon_H56 zenon_H76 zenon_H9f zenon_H49 zenon_H54 zenon_H9e zenon_H40 zenon_H67 zenon_Hcf zenon_H1a7 zenon_H261 zenon_H267 zenon_H27a zenon_H27c zenon_Hf0 zenon_H27d zenon_H28a zenon_H1a3 zenon_H14b zenon_H14c zenon_H143 zenon_H132 zenon_H133 zenon_H131 zenon_H173 zenon_H111 zenon_H18b zenon_H186 zenon_H185 zenon_H13a zenon_H18e zenon_H11a zenon_H127 zenon_H172 zenon_H13b zenon_H10f zenon_H15b zenon_H105 zenon_H120 zenon_H121 zenon_H290 zenon_H273 zenon_H26d zenon_H277 zenon_H197 zenon_H28d zenon_H196 zenon_H19c zenon_H17e zenon_H104 zenon_H192 zenon_H178 zenon_H1b5 zenon_H1f7 zenon_H1f4 zenon_H224 zenon_H2c zenon_H2a zenon_H29 zenon_H1dc zenon_Hb3 zenon_H41 zenon_H77. % 196.35/196.55 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_Hc0 | zenon_intro zenon_He0 ]. % 196.35/196.55 apply (zenon_L218_); trivial. % 196.35/196.55 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hd0 | zenon_intro zenon_He1 ]. % 196.35/196.55 apply (zenon_L79_); trivial. % 196.35/196.55 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_H78 | zenon_intro zenon_Hdb ]. % 196.35/196.55 apply (zenon_L436_); trivial. % 196.35/196.55 apply (zenon_L437_); trivial. % 196.35/196.55 (* end of lemma zenon_L438_ *) % 196.35/196.55 assert (zenon_L439_ : (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((e20) = (e23))) -> ((op2 (unit2) (e21)) = (e21)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> ((op1 (e11) (unit1)) = (e11)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e13) (e11))) -> ((op1 (unit1) (e12)) = (e12)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> ((op1 (unit1) (e10)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((h8 (e13)) = (e21)) -> ((h8 (e10)) = (op2 (e22) (e22))) -> ((op2 (e20) (e21)) = (e21)) -> (~((h8 (op1 (e10) (e13))) = (op2 (h8 (e10)) (h8 (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((op2 (e21) (unit2)) = (e21)) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((op2 (unit2) (e22)) = (e22)) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> ((op2 (e22) (unit2)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> ((op2 (unit2) (e20)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e23) (unit2)) = (e23)) -> ((op2 (unit2) (e23)) = (e23)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> False). % 196.35/196.55 do 0 intro. intros zenon_H1ca zenon_H22 zenon_Hbd zenon_H77 zenon_Hb3 zenon_H224 zenon_H1f4 zenon_H1f7 zenon_H1b5 zenon_H178 zenon_H192 zenon_H104 zenon_H17e zenon_H19c zenon_H196 zenon_H28d zenon_H197 zenon_H277 zenon_H26d zenon_H273 zenon_H290 zenon_H121 zenon_H120 zenon_H105 zenon_H15b zenon_H10f zenon_H13b zenon_H172 zenon_H127 zenon_H11a zenon_H18e zenon_H13a zenon_H185 zenon_H186 zenon_H18b zenon_H111 zenon_H173 zenon_H131 zenon_H133 zenon_H132 zenon_H143 zenon_H14c zenon_H14b zenon_H1a3 zenon_H28a zenon_H27d zenon_Hf0 zenon_H27c zenon_H27a zenon_H267 zenon_H261 zenon_H1a7 zenon_Hcf zenon_H40 zenon_H9e zenon_H9f zenon_H76 zenon_H5d zenon_H86 zenon_H37 zenon_Hba zenon_Hce zenon_Hd4 zenon_Ha3 zenon_Ha9 zenon_H39 zenon_H4d zenon_Hb6 zenon_Ha4 zenon_Haf zenon_Hb5 zenon_Hc1 zenon_Hdf zenon_H1d9 zenon_H1cd zenon_H1d4 zenon_H1d1 zenon_Hd8 zenon_H1de zenon_H49 zenon_H56 zenon_H2c zenon_H2a zenon_H29 zenon_H41 zenon_H54 zenon_H20 zenon_H67. % 196.35/196.55 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H21 | zenon_intro zenon_H1cb ]. % 196.35/196.55 apply (zenon_L64_); trivial. % 196.35/196.55 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H8d | zenon_intro zenon_H1cc ]. % 196.35/196.55 apply (zenon_L65_); trivial. % 196.35/196.55 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H61 ]. % 196.35/196.55 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_Hd9 | zenon_intro zenon_H1df ]. % 196.35/196.55 apply (zenon_L324_); trivial. % 196.35/196.55 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H1ce | zenon_intro zenon_H1e0 ]. % 196.35/196.55 apply (zenon_L435_); trivial. % 196.35/196.55 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H78 | zenon_intro zenon_H1dc ]. % 196.35/196.55 apply (zenon_L434_); trivial. % 196.35/196.55 apply (zenon_L438_); trivial. % 196.35/196.55 apply (zenon_L23_); trivial. % 196.35/196.55 (* end of lemma zenon_L439_ *) % 196.35/196.55 assert (zenon_L440_ : (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> ((op2 (e21) (e21)) = (e21)) -> ((op2 (e21) (unit2)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e20)) = (e23)) -> ((op2 (e23) (unit2)) = (e23)) -> ((op2 (unit2) (e22)) = (e22)) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> False). % 196.35/196.56 do 0 intro. intros zenon_H49 zenon_H9b zenon_Hcf zenon_H29 zenon_H56 zenon_H5d zenon_H55 zenon_H54 zenon_H37 zenon_H40 zenon_H41. % 196.35/196.56 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H1e | zenon_intro zenon_H4a ]. % 196.35/196.56 apply (zenon_L90_); trivial. % 196.35/196.56 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2b | zenon_intro zenon_H4b ]. % 196.35/196.56 apply (zenon_L14_); trivial. % 196.35/196.56 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H3f ]. % 196.35/196.56 apply (zenon_L16_); trivial. % 196.35/196.56 apply (zenon_L9_); trivial. % 196.35/196.56 (* end of lemma zenon_L440_ *) % 196.35/196.56 assert (zenon_L441_ : (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e22) (unit2)) = (e22)) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e21)) = (e21)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> ((e20) = (op2 (e21) (e21))) -> (~((e20) = (e23))) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((op2 (e21) (e21)) = (e21)) -> ((op2 (e21) (unit2)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e21) (e23)) = (e22)) -> ((op2 (unit2) (e22)) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e23) (unit2)) = (e23)) -> ((op2 (unit2) (e23)) = (e23)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> False). % 196.35/196.56 do 0 intro. intros zenon_H1ca zenon_Hb5 zenon_Haf zenon_Ha4 zenon_Hb6 zenon_H4d zenon_H76 zenon_H77 zenon_H39 zenon_H2a zenon_Ha3 zenon_H22 zenon_Hba zenon_H2c zenon_Hbd zenon_H40 zenon_H86 zenon_H9e zenon_H5d zenon_Hb3 zenon_H9b zenon_Hcf zenon_H29 zenon_H9f zenon_H49 zenon_H56 zenon_Haa zenon_H37 zenon_Ha9 zenon_H41 zenon_H54 zenon_H20 zenon_H67. % 196.35/196.56 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H21 | zenon_intro zenon_H1cb ]. % 196.35/196.56 apply (zenon_L64_); trivial. % 196.35/196.56 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H8d | zenon_intro zenon_H1cc ]. % 196.35/196.56 apply (zenon_L65_); trivial. % 196.35/196.56 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H61 ]. % 196.35/196.56 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H55 | zenon_intro zenon_Ha0 ]. % 196.35/196.56 apply (zenon_L440_); trivial. % 196.35/196.56 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_H61 | zenon_intro zenon_Ha1 ]. % 196.35/196.56 apply (zenon_L47_); trivial. % 196.35/196.56 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H6c | zenon_intro zenon_H87 ]. % 196.35/196.56 apply (zenon_L70_); trivial. % 196.35/196.56 apply (zenon_L40_); trivial. % 196.35/196.56 apply (zenon_L47_); trivial. % 196.35/196.56 (* end of lemma zenon_L441_ *) % 196.35/196.56 assert (zenon_L442_ : ((op2 (e22) (e22)) = (e21)) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (e21) (unit2)) = (e21)) -> ((op2 (e21) (e21)) = (e21)) -> (~((e20) = (e23))) -> ((e20) = (op2 (e21) (e21))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((op2 (unit2) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e21)) = (e21)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (unit2) (e22)) = (e22)) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((op2 (unit2) (e23)) = (e23)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e22) (unit2)) = (e22)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> False). % 196.35/196.56 do 0 intro. intros zenon_H78 zenon_Ha9 zenon_H29 zenon_Hcf zenon_H9b zenon_Hbd zenon_H2c zenon_Hba zenon_H22 zenon_Ha3 zenon_H2a zenon_H39 zenon_H77 zenon_H76 zenon_H4d zenon_Hb6 zenon_H1ca zenon_H41 zenon_H37 zenon_H86 zenon_H54 zenon_H9e zenon_H49 zenon_H5d zenon_Hb5 zenon_H20 zenon_Haf zenon_Ha4 zenon_Hb3 zenon_H56 zenon_H9f zenon_H40 zenon_H67. % 196.35/196.56 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_H4e | zenon_intro zenon_Hb7 ]. % 196.35/196.56 apply (zenon_L86_); trivial. % 196.35/196.56 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_Haa | zenon_intro zenon_Hb8 ]. % 196.35/196.56 apply (zenon_L441_); trivial. % 196.35/196.56 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H7d ]. % 196.35/196.56 apply (zenon_L55_); trivial. % 196.35/196.56 apply (zenon_L31_); trivial. % 196.35/196.56 (* end of lemma zenon_L442_ *) % 196.35/196.56 assert (zenon_L443_ : (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((op2 (e21) (unit2)) = (e21)) -> ((op2 (e21) (e21)) = (e21)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> ((op2 (e22) (e22)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (unit2) (e20)) = (e20)) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (unit2) (e23)) = (e23)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((op2 (unit2) (e21)) = (e21)) -> ((op2 (e22) (e23)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((op2 (unit2) (e22)) = (e22)) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> False). % 196.35/196.56 do 0 intro. intros zenon_H9f zenon_Hcf zenon_H9b zenon_H76 zenon_H78 zenon_H29 zenon_H2a zenon_H2c zenon_H56 zenon_H20 zenon_Hb3 zenon_H77 zenon_H1dc zenon_H5d zenon_H49 zenon_H9e zenon_H67 zenon_H54 zenon_H86 zenon_H37 zenon_H40 zenon_H41. % 196.35/196.56 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H55 | zenon_intro zenon_Ha0 ]. % 196.35/196.56 apply (zenon_L440_); trivial. % 196.35/196.56 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_H61 | zenon_intro zenon_Ha1 ]. % 196.35/196.56 apply (zenon_L353_); trivial. % 196.35/196.56 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H6c | zenon_intro zenon_H87 ]. % 196.35/196.56 apply (zenon_L213_); trivial. % 196.35/196.56 apply (zenon_L40_); trivial. % 196.35/196.56 (* end of lemma zenon_L443_ *) % 196.35/196.56 assert (zenon_L444_ : (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (e21) (unit2)) = (e21)) -> ((op2 (e21) (e21)) = (e21)) -> ((op2 (e23) (e22)) = (e21)) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> ((op2 (e21) (e23)) = (e22)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (unit2) (e23)) = (e23)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((op2 (unit2) (e21)) = (e21)) -> ((op2 (e22) (e23)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((op2 (unit2) (e22)) = (e22)) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> False). % 196.35/196.56 do 0 intro. intros zenon_H9f zenon_H29 zenon_Hcf zenon_H9b zenon_Hdb zenon_Ha9 zenon_Haa zenon_H56 zenon_H20 zenon_Hb3 zenon_H77 zenon_H1dc zenon_H5d zenon_H49 zenon_H9e zenon_H67 zenon_H54 zenon_H86 zenon_H37 zenon_H40 zenon_H41. % 196.35/196.56 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H55 | zenon_intro zenon_Ha0 ]. % 196.35/196.56 apply (zenon_L96_); trivial. % 196.35/196.56 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_H61 | zenon_intro zenon_Ha1 ]. % 196.35/196.56 apply (zenon_L225_); trivial. % 196.35/196.56 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H6c | zenon_intro zenon_H87 ]. % 196.35/196.56 apply (zenon_L213_); trivial. % 196.35/196.56 apply (zenon_L40_); trivial. % 196.35/196.56 (* end of lemma zenon_L444_ *) % 196.35/196.56 assert (zenon_L445_ : (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> ((e20) = (op2 (e21) (e21))) -> ((op2 (unit2) (e20)) = (e20)) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> ((op2 (e22) (e23)) = (e21)) -> ((op2 (unit2) (e21)) = (e21)) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> ((op2 (e23) (e22)) = (e21)) -> ((op2 (e21) (e21)) = (e21)) -> ((op2 (e21) (unit2)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (unit2) (e22)) = (e22)) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((op2 (unit2) (e23)) = (e23)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e22) (unit2)) = (e22)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> False). % 196.35/196.56 do 0 intro. intros zenon_Hb6 zenon_H2c zenon_H2a zenon_H4d zenon_H1dc zenon_H77 zenon_Ha9 zenon_Hdb zenon_H9b zenon_Hcf zenon_H29 zenon_H41 zenon_H37 zenon_H86 zenon_H54 zenon_H9e zenon_H49 zenon_H5d zenon_Hb5 zenon_H20 zenon_Haf zenon_Ha4 zenon_Hb3 zenon_H56 zenon_H9f zenon_H40 zenon_H67. % 196.35/196.56 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_H4e | zenon_intro zenon_Hb7 ]. % 196.35/196.56 apply (zenon_L214_); trivial. % 196.35/196.56 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_Haa | zenon_intro zenon_Hb8 ]. % 196.35/196.56 apply (zenon_L444_); trivial. % 196.35/196.56 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H7d ]. % 196.35/196.56 apply (zenon_L55_); trivial. % 196.35/196.56 apply (zenon_L31_); trivial. % 196.35/196.56 (* end of lemma zenon_L445_ *) % 196.35/196.56 assert (zenon_L446_ : (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> ((op2 (e22) (e21)) = (e23)) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> ((e20) = (op2 (e21) (e21))) -> ((op2 (unit2) (e20)) = (e20)) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> ((op2 (e22) (e23)) = (e21)) -> ((op2 (unit2) (e21)) = (e21)) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> ((op2 (e21) (e21)) = (e21)) -> ((op2 (e21) (unit2)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (unit2) (e22)) = (e22)) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((op2 (unit2) (e23)) = (e23)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e22) (unit2)) = (e22)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> False). % 196.35/196.56 do 0 intro. intros zenon_Hdf zenon_Hc7 zenon_Hc1 zenon_H39 zenon_Ha3 zenon_Hd4 zenon_Hce zenon_Hba zenon_H76 zenon_Hb6 zenon_H2c zenon_H2a zenon_H4d zenon_H1dc zenon_H77 zenon_Ha9 zenon_H9b zenon_Hcf zenon_H29 zenon_H41 zenon_H37 zenon_H86 zenon_H54 zenon_H9e zenon_H49 zenon_H5d zenon_Hb5 zenon_H20 zenon_Haf zenon_Ha4 zenon_Hb3 zenon_H56 zenon_H9f zenon_H40 zenon_H67. % 196.35/196.56 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_Hc0 | zenon_intro zenon_He0 ]. % 196.35/196.56 apply (zenon_L71_); trivial. % 196.35/196.56 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hd0 | zenon_intro zenon_He1 ]. % 196.35/196.56 apply (zenon_L79_); trivial. % 196.35/196.56 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_H78 | zenon_intro zenon_Hdb ]. % 196.35/196.56 apply (zenon_L443_); trivial. % 196.35/196.56 apply (zenon_L445_); trivial. % 196.35/196.56 (* end of lemma zenon_L446_ *) % 196.35/196.56 assert (zenon_L447_ : (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> ((op2 (e21) (e21)) = (e21)) -> ((op2 (e21) (unit2)) = (e21)) -> ((e20) = (op2 (e21) (e21))) -> ((op2 (unit2) (e20)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e23) (unit2)) = (e23)) -> ((op2 (unit2) (e23)) = (e23)) -> ((op2 (e23) (e21)) = (e23)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> False). % 196.35/196.56 do 0 intro. intros zenon_H49 zenon_H9b zenon_Hcf zenon_H2c zenon_H2a zenon_H29 zenon_H41 zenon_H54 zenon_H20 zenon_H61 zenon_H67. % 196.35/196.56 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H1e | zenon_intro zenon_H4a ]. % 196.35/196.56 apply (zenon_L90_); trivial. % 196.35/196.56 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2b | zenon_intro zenon_H4b ]. % 196.35/196.56 apply (zenon_L5_); trivial. % 196.35/196.56 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H3f ]. % 196.35/196.56 apply (zenon_L20_); trivial. % 196.35/196.56 apply (zenon_L22_); trivial. % 196.35/196.56 (* end of lemma zenon_L447_ *) % 196.35/196.56 assert (zenon_L448_ : ((e22) = (op2 (e23) (e21))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((op2 (e22) (unit2)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((op2 (unit2) (e22)) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> ((op2 (unit2) (e21)) = (e21)) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((e20) = (e23))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> ((op2 (e21) (e21)) = (e21)) -> ((op2 (e21) (unit2)) = (e21)) -> ((e20) = (op2 (e21) (e21))) -> ((op2 (unit2) (e20)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e23) (unit2)) = (e23)) -> ((op2 (unit2) (e23)) = (e23)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> False). % 196.35/196.56 do 0 intro. intros zenon_H40 zenon_H9f zenon_H56 zenon_Hb3 zenon_Ha4 zenon_Haf zenon_Hb5 zenon_H5d zenon_H9e zenon_H86 zenon_H37 zenon_Ha9 zenon_H77 zenon_H4d zenon_Hb6 zenon_H76 zenon_Hba zenon_Hce zenon_Hd4 zenon_Ha3 zenon_H39 zenon_Hc1 zenon_Hdf zenon_Hbd zenon_H22 zenon_H1ca zenon_H1d9 zenon_H1cd zenon_H1d4 zenon_H1d1 zenon_Hd8 zenon_H1de zenon_H49 zenon_H9b zenon_Hcf zenon_H2c zenon_H2a zenon_H29 zenon_H41 zenon_H54 zenon_H20 zenon_H67. % 196.35/196.56 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H21 | zenon_intro zenon_H1cb ]. % 196.35/196.56 apply (zenon_L64_); trivial. % 196.35/196.56 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H8d | zenon_intro zenon_H1cc ]. % 196.35/196.56 apply (zenon_L65_); trivial. % 196.35/196.56 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H61 ]. % 196.35/196.56 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_Hd9 | zenon_intro zenon_H1df ]. % 196.35/196.56 apply (zenon_L84_); trivial. % 196.35/196.56 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H1ce | zenon_intro zenon_H1e0 ]. % 196.35/196.56 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_Hc0 | zenon_intro zenon_He0 ]. % 196.35/196.56 apply (zenon_L218_); trivial. % 196.35/196.56 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hd0 | zenon_intro zenon_He1 ]. % 196.35/196.56 apply (zenon_L79_); trivial. % 196.35/196.56 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_H78 | zenon_intro zenon_Hdb ]. % 196.35/196.56 apply (zenon_L442_); trivial. % 196.35/196.56 apply (zenon_L250_); trivial. % 196.35/196.56 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H78 | zenon_intro zenon_H1dc ]. % 196.35/196.56 apply (zenon_L442_); trivial. % 196.35/196.56 apply (zenon_L446_); trivial. % 196.35/196.56 apply (zenon_L447_); trivial. % 196.35/196.56 (* end of lemma zenon_L448_ *) % 196.35/196.56 assert (zenon_L449_ : (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> ((op2 (unit2) (e20)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (e21) (unit2)) = (e21)) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((h8 (op1 (e10) (e13))) = (op2 (h8 (e10)) (h8 (e13))))) -> ((h8 (e10)) = (op2 (e22) (e22))) -> ((h8 (e13)) = (e21)) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e10)) = (e10)) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (unit1) (e12)) = (e12)) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (unit1)) = (e11)) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((op2 (unit2) (e22)) = (e22)) -> ((op2 (unit2) (e23)) = (e23)) -> ((unit2) = (e20)) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> False). % 196.35/196.56 do 0 intro. intros zenon_H293 zenon_H2a zenon_H1e2 zenon_H54 zenon_H9e zenon_H40 zenon_H67 zenon_H29 zenon_Hcf zenon_H1a7 zenon_H261 zenon_H267 zenon_H27a zenon_Hf0 zenon_H27d zenon_H28a zenon_H1a3 zenon_H14b zenon_H14c zenon_H143 zenon_H132 zenon_H133 zenon_H131 zenon_H173 zenon_H111 zenon_H18b zenon_H186 zenon_H185 zenon_H13a zenon_H18e zenon_H11a zenon_H127 zenon_H172 zenon_H13b zenon_H10f zenon_H15b zenon_H105 zenon_H120 zenon_H121 zenon_H290 zenon_H273 zenon_H26d zenon_H277 zenon_H197 zenon_H28d zenon_H196 zenon_H19c zenon_H17e zenon_H104 zenon_H192 zenon_H178 zenon_H1b5 zenon_H1f7 zenon_H1f4 zenon_H224 zenon_Hc1 zenon_H37 zenon_H20 zenon_H1e zenon_H22. % 196.35/196.56 apply (zenon_or_s _ _ zenon_H293); [ zenon_intro zenon_H1e3 | zenon_intro zenon_H294 ]. % 196.35/196.56 apply (zenon_L220_); trivial. % 196.35/196.56 apply (zenon_or_s _ _ zenon_H294); [ zenon_intro zenon_H27c | zenon_intro zenon_H295 ]. % 196.35/196.56 apply (zenon_L432_); trivial. % 196.35/196.56 apply (zenon_or_s _ _ zenon_H295); [ zenon_intro zenon_H1f1 | zenon_intro zenon_H21 ]. % 196.35/196.56 apply (zenon_L261_); trivial. % 196.35/196.56 apply (zenon_L3_); trivial. % 196.35/196.56 (* end of lemma zenon_L449_ *) % 196.35/196.56 assert (zenon_L450_ : (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((op2 (unit2) (e23)) = (e23)) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> ((op1 (e11) (unit1)) = (e11)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e13) (e11))) -> ((op1 (unit1) (e12)) = (e12)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> ((op1 (unit1) (e10)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((h8 (e13)) = (e21)) -> ((h8 (e10)) = (op2 (e22) (e22))) -> (~((h8 (op1 (e10) (e13))) = (op2 (h8 (e10)) (h8 (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((op2 (e21) (unit2)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> ((e20) = (op2 (e21) (e21))) -> ((op2 (unit2) (e20)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (e22) (e22)) = (e21)) -> ((op2 (unit2) (e21)) = (e21)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e22)) = (e22)) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> False). % 196.35/196.56 do 0 intro. intros zenon_H49 zenon_H22 zenon_H20 zenon_Hc1 zenon_H224 zenon_H1f4 zenon_H1f7 zenon_H1b5 zenon_H178 zenon_H192 zenon_H104 zenon_H17e zenon_H19c zenon_H196 zenon_H28d zenon_H197 zenon_H277 zenon_H26d zenon_H273 zenon_H290 zenon_H121 zenon_H120 zenon_H105 zenon_H15b zenon_H10f zenon_H13b zenon_H172 zenon_H127 zenon_H11a zenon_H18e zenon_H13a zenon_H185 zenon_H186 zenon_H18b zenon_H111 zenon_H173 zenon_H131 zenon_H133 zenon_H132 zenon_H143 zenon_H14c zenon_H14b zenon_H1a3 zenon_H28a zenon_H27d zenon_Hf0 zenon_H27a zenon_H267 zenon_H261 zenon_H1a7 zenon_Hcf zenon_H67 zenon_H9e zenon_H54 zenon_H1e2 zenon_H293 zenon_H2c zenon_H2a zenon_H29 zenon_H78 zenon_H77 zenon_H76 zenon_H37 zenon_H40 zenon_H41. % 196.35/196.56 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H1e | zenon_intro zenon_H4a ]. % 196.35/196.56 apply (zenon_L449_); trivial. % 196.35/196.56 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2b | zenon_intro zenon_H4b ]. % 196.35/196.56 apply (zenon_L5_); trivial. % 196.35/196.56 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H3f ]. % 196.35/196.56 apply (zenon_L30_); trivial. % 196.35/196.56 apply (zenon_L9_); trivial. % 196.35/196.56 (* end of lemma zenon_L450_ *) % 196.35/196.56 assert (zenon_L451_ : (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> ((op2 (e21) (unit2)) = (e21)) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((h8 (op1 (e10) (e13))) = (op2 (h8 (e10)) (h8 (e13))))) -> ((h8 (e10)) = (op2 (e22) (e22))) -> ((h8 (e13)) = (e21)) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e10)) = (e10)) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (unit1) (e12)) = (e12)) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (unit1)) = (e11)) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> ((op2 (e22) (e21)) = (e21)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e22) (e21)) = (e23)) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> ((op2 (unit2) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e21)) = (e21)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((op2 (e22) (unit2)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (unit2) (e23)) = (e23)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((op2 (unit2) (e22)) = (e22)) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> False). % 196.35/196.56 do 0 intro. intros zenon_Hdf zenon_Hd4 zenon_Hce zenon_H293 zenon_H1e2 zenon_Hcf zenon_H1a7 zenon_H261 zenon_H267 zenon_H27a zenon_Hf0 zenon_H27d zenon_H28a zenon_H1a3 zenon_H14b zenon_H14c zenon_H143 zenon_H132 zenon_H133 zenon_H131 zenon_H173 zenon_H111 zenon_H18b zenon_H186 zenon_H185 zenon_H13a zenon_H18e zenon_H11a zenon_H127 zenon_H172 zenon_H13b zenon_H10f zenon_H15b zenon_H105 zenon_H120 zenon_H121 zenon_H290 zenon_H273 zenon_H26d zenon_H277 zenon_H197 zenon_H28d zenon_H196 zenon_H19c zenon_H17e zenon_H104 zenon_H192 zenon_H178 zenon_H1b5 zenon_H1f7 zenon_H1f4 zenon_H224 zenon_Hc1 zenon_H22 zenon_H1d9 zenon_H1cd zenon_H1ce zenon_H1d4 zenon_Hba zenon_H1d1 zenon_Hc7 zenon_H2c zenon_H29 zenon_Ha3 zenon_Ha9 zenon_H2a zenon_H39 zenon_H77 zenon_H76 zenon_H4d zenon_Hb6 zenon_H9f zenon_H56 zenon_Hb3 zenon_Ha4 zenon_Haf zenon_H20 zenon_Hb5 zenon_H5d zenon_H49 zenon_H9e zenon_H67 zenon_H54 zenon_H86 zenon_H37 zenon_H40 zenon_H41. % 196.35/196.56 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_Hc0 | zenon_intro zenon_He0 ]. % 196.35/196.56 apply (zenon_L71_); trivial. % 196.35/196.56 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hd0 | zenon_intro zenon_He1 ]. % 196.35/196.56 apply (zenon_L79_); trivial. % 196.35/196.56 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_H78 | zenon_intro zenon_Hdb ]. % 196.35/196.56 apply (zenon_L450_); trivial. % 196.35/196.56 apply (zenon_L250_); trivial. % 196.35/196.56 (* end of lemma zenon_L451_ *) % 196.35/196.56 assert (zenon_L452_ : (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((e20) = (e23))) -> ((e22) = (op2 (e23) (e21))) -> ((op2 (unit2) (e22)) = (e22)) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e22) (unit2)) = (e22)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e21)) = (e21)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> ((op2 (e22) (e21)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> ((op1 (e11) (unit1)) = (e11)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e13) (e11))) -> ((op1 (unit1) (e12)) = (e12)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> ((op1 (unit1) (e10)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((h8 (e13)) = (e21)) -> ((h8 (e10)) = (op2 (e22) (e22))) -> (~((h8 (op1 (e10) (e13))) = (op2 (h8 (e10)) (h8 (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((op2 (e21) (unit2)) = (e21)) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> ((op2 (unit2) (e20)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e23) (unit2)) = (e23)) -> ((op2 (unit2) (e23)) = (e23)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> False). % 196.35/196.56 do 0 intro. intros zenon_H1ca zenon_Hbd zenon_H40 zenon_H37 zenon_H86 zenon_H9e zenon_H5d zenon_Hb5 zenon_Haf zenon_Ha4 zenon_Hb3 zenon_H9f zenon_Hb6 zenon_H4d zenon_H76 zenon_H77 zenon_H39 zenon_Ha9 zenon_Ha3 zenon_H1d1 zenon_Hba zenon_H1d4 zenon_H1ce zenon_H1cd zenon_H1d9 zenon_H22 zenon_Hc1 zenon_H224 zenon_H1f4 zenon_H1f7 zenon_H1b5 zenon_H178 zenon_H192 zenon_H104 zenon_H17e zenon_H19c zenon_H196 zenon_H28d zenon_H197 zenon_H277 zenon_H26d zenon_H273 zenon_H290 zenon_H121 zenon_H120 zenon_H105 zenon_H15b zenon_H10f zenon_H13b zenon_H172 zenon_H127 zenon_H11a zenon_H18e zenon_H13a zenon_H185 zenon_H186 zenon_H18b zenon_H111 zenon_H173 zenon_H131 zenon_H133 zenon_H132 zenon_H143 zenon_H14c zenon_H14b zenon_H1a3 zenon_H28a zenon_H27d zenon_Hf0 zenon_H27a zenon_H267 zenon_H261 zenon_H1a7 zenon_Hcf zenon_H1e2 zenon_H293 zenon_Hce zenon_Hd4 zenon_Hdf zenon_H49 zenon_H56 zenon_H2c zenon_H2a zenon_H29 zenon_H41 zenon_H54 zenon_H20 zenon_H67. % 196.35/196.56 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H21 | zenon_intro zenon_H1cb ]. % 196.35/196.56 apply (zenon_L64_); trivial. % 196.35/196.56 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H8d | zenon_intro zenon_H1cc ]. % 196.35/196.56 apply (zenon_L65_); trivial. % 196.35/196.56 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H61 ]. % 196.35/196.56 apply (zenon_L451_); trivial. % 196.35/196.56 apply (zenon_L23_); trivial. % 196.35/196.56 (* end of lemma zenon_L452_ *) % 196.35/196.56 assert (zenon_L453_ : (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> ((op2 (unit2) (e21)) = (e21)) -> ((unit2) = (e22)) -> ((op2 (e23) (e21)) = (e21)) -> False). % 196.35/196.56 do 0 intro. intros zenon_H296 zenon_H77 zenon_H35 zenon_H297. % 196.35/196.56 cut (((op2 (unit2) (e21)) = (e21)) = ((op2 (e22) (e21)) = (op2 (e23) (e21)))). % 196.35/196.56 intro zenon_D_pnotp. % 196.35/196.56 apply zenon_H296. % 196.35/196.56 rewrite <- zenon_D_pnotp. % 196.35/196.56 exact zenon_H77. % 196.35/196.56 cut (((e21) = (op2 (e23) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H298]. % 196.35/196.56 cut (((op2 (unit2) (e21)) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H7a]. % 196.35/196.56 congruence. % 196.35/196.56 elim (classic ((op2 (e22) (e21)) = (op2 (e22) (e21)))); [ zenon_intro zenon_H7b | zenon_intro zenon_H7c ]. % 196.35/196.56 cut (((op2 (e22) (e21)) = (op2 (e22) (e21))) = ((op2 (unit2) (e21)) = (op2 (e22) (e21)))). % 196.35/196.56 intro zenon_D_pnotp. % 196.35/196.56 apply zenon_H7a. % 196.35/196.56 rewrite <- zenon_D_pnotp. % 196.35/196.56 exact zenon_H7b. % 196.35/196.56 cut (((op2 (e22) (e21)) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H7c]. % 196.35/196.56 cut (((op2 (e22) (e21)) = (op2 (unit2) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H75]. % 196.35/196.56 congruence. % 196.35/196.56 apply (zenon_L29_); trivial. % 196.35/196.56 apply zenon_H7c. apply refl_equal. % 196.35/196.56 apply zenon_H7c. apply refl_equal. % 196.35/196.56 apply zenon_H298. apply sym_equal. exact zenon_H297. % 196.35/196.56 (* end of lemma zenon_L453_ *) % 196.35/196.56 assert (zenon_L454_ : (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((op2 (unit2) (e23)) = (e23)) -> ((op2 (unit2) (e22)) = (e22)) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> ((op1 (e11) (unit1)) = (e11)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e13) (e11))) -> ((op1 (unit1) (e12)) = (e12)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> ((op1 (unit1) (e10)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((h8 (e13)) = (e21)) -> ((h8 (e10)) = (op2 (e22) (e22))) -> (~((h8 (op1 (e10) (e13))) = (op2 (h8 (e10)) (h8 (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((op2 (e21) (unit2)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> ((op2 (unit2) (e20)) = (e20)) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e20)) = (e23)) -> ((op2 (e23) (unit2)) = (e23)) -> ((op2 (e23) (e21)) = (e21)) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (unit2) (e21)) = (e21)) -> ((op2 (e23) (e22)) = (e21)) -> False). % 196.35/196.56 do 0 intro. intros zenon_H49 zenon_H22 zenon_H20 zenon_H37 zenon_Hc1 zenon_H224 zenon_H1f4 zenon_H1f7 zenon_H1b5 zenon_H178 zenon_H192 zenon_H104 zenon_H17e zenon_H19c zenon_H196 zenon_H28d zenon_H197 zenon_H277 zenon_H26d zenon_H273 zenon_H290 zenon_H121 zenon_H120 zenon_H105 zenon_H15b zenon_H10f zenon_H13b zenon_H172 zenon_H127 zenon_H11a zenon_H18e zenon_H13a zenon_H185 zenon_H186 zenon_H18b zenon_H111 zenon_H173 zenon_H131 zenon_H133 zenon_H132 zenon_H143 zenon_H14c zenon_H14b zenon_H1a3 zenon_H28a zenon_H27d zenon_Hf0 zenon_H27a zenon_H267 zenon_H261 zenon_H1a7 zenon_Hcf zenon_H29 zenon_H67 zenon_H40 zenon_H9e zenon_H1e2 zenon_H2a zenon_H293 zenon_H56 zenon_H55 zenon_H54 zenon_H297 zenon_H296 zenon_H41 zenon_H77 zenon_Hdb. % 196.35/196.56 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H1e | zenon_intro zenon_H4a ]. % 196.35/196.56 apply (zenon_L449_); trivial. % 196.35/196.56 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2b | zenon_intro zenon_H4b ]. % 196.35/196.56 apply (zenon_L14_); trivial. % 196.35/196.56 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H3f ]. % 196.35/196.56 apply (zenon_L453_); trivial. % 196.35/196.56 apply (zenon_L82_); trivial. % 196.35/196.56 (* end of lemma zenon_L454_ *) % 196.35/196.56 assert (zenon_L455_ : (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((op2 (e22) (e23)) = (e21)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((op2 (e21) (e23)) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> ((e20) = (op2 (e21) (e21))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((op2 (unit2) (e23)) = (e23)) -> ((op2 (unit2) (e22)) = (e22)) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> ((op1 (e11) (unit1)) = (e11)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e13) (e11))) -> ((op1 (unit1) (e12)) = (e12)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> ((op1 (unit1) (e10)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((h8 (e13)) = (e21)) -> ((h8 (e10)) = (op2 (e22) (e22))) -> (~((h8 (op1 (e10) (e13))) = (op2 (h8 (e10)) (h8 (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((op2 (e21) (unit2)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> ((op2 (unit2) (e20)) = (e20)) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e20)) = (e23)) -> ((op2 (e23) (unit2)) = (e23)) -> ((op2 (e23) (e21)) = (e21)) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (unit2) (e21)) = (e21)) -> False). % 196.35/196.56 do 0 intro. intros zenon_Hdf zenon_H86 zenon_H1dc zenon_Hb3 zenon_Haa zenon_Ha9 zenon_H9f zenon_H5d zenon_Hce zenon_H76 zenon_H2c zenon_H49 zenon_H22 zenon_H20 zenon_H37 zenon_Hc1 zenon_H224 zenon_H1f4 zenon_H1f7 zenon_H1b5 zenon_H178 zenon_H192 zenon_H104 zenon_H17e zenon_H19c zenon_H196 zenon_H28d zenon_H197 zenon_H277 zenon_H26d zenon_H273 zenon_H290 zenon_H121 zenon_H120 zenon_H105 zenon_H15b zenon_H10f zenon_H13b zenon_H172 zenon_H127 zenon_H11a zenon_H18e zenon_H13a zenon_H185 zenon_H186 zenon_H18b zenon_H111 zenon_H173 zenon_H131 zenon_H133 zenon_H132 zenon_H143 zenon_H14c zenon_H14b zenon_H1a3 zenon_H28a zenon_H27d zenon_Hf0 zenon_H27a zenon_H267 zenon_H261 zenon_H1a7 zenon_Hcf zenon_H29 zenon_H67 zenon_H40 zenon_H9e zenon_H1e2 zenon_H2a zenon_H293 zenon_H56 zenon_H55 zenon_H54 zenon_H297 zenon_H296 zenon_H41 zenon_H77. % 196.35/196.56 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_Hc0 | zenon_intro zenon_He0 ]. % 196.35/196.56 apply (zenon_L251_); trivial. % 196.35/196.56 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hd0 | zenon_intro zenon_He1 ]. % 196.35/196.56 apply (zenon_L74_); trivial. % 196.35/196.56 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_H78 | zenon_intro zenon_Hdb ]. % 196.35/196.56 apply (zenon_L450_); trivial. % 196.35/196.56 apply (zenon_L454_); trivial. % 196.35/196.56 (* end of lemma zenon_L455_ *) % 196.35/196.56 assert (zenon_L456_ : (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e21)) = (e21)) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> ((op2 (unit2) (e20)) = (e20)) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (e21) (unit2)) = (e21)) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((h8 (op1 (e10) (e13))) = (op2 (h8 (e10)) (h8 (e13))))) -> ((h8 (e10)) = (op2 (e22) (e22))) -> ((h8 (e13)) = (e21)) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e10)) = (e10)) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (unit1) (e12)) = (e12)) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (unit1)) = (e11)) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> ((op2 (e23) (e22)) = (e21)) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> ((op2 (e21) (e23)) = (e22)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (unit2) (e23)) = (e23)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((op2 (unit2) (e21)) = (e21)) -> ((op2 (e22) (e23)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((op2 (unit2) (e22)) = (e22)) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> False). % 196.35/196.56 do 0 intro. intros zenon_H296 zenon_H297 zenon_H293 zenon_H2a zenon_H1e2 zenon_H29 zenon_Hcf zenon_H1a7 zenon_H261 zenon_H267 zenon_H27a zenon_Hf0 zenon_H27d zenon_H28a zenon_H1a3 zenon_H14b zenon_H14c zenon_H143 zenon_H132 zenon_H133 zenon_H131 zenon_H173 zenon_H111 zenon_H18b zenon_H186 zenon_H185 zenon_H13a zenon_H18e zenon_H11a zenon_H127 zenon_H172 zenon_H13b zenon_H10f zenon_H15b zenon_H105 zenon_H120 zenon_H121 zenon_H290 zenon_H273 zenon_H26d zenon_H277 zenon_H197 zenon_H28d zenon_H196 zenon_H19c zenon_H17e zenon_H104 zenon_H192 zenon_H178 zenon_H1b5 zenon_H1f7 zenon_H1f4 zenon_H224 zenon_Hc1 zenon_H22 zenon_H2c zenon_H76 zenon_Hce zenon_H9f zenon_Hdf zenon_Hdb zenon_Ha9 zenon_Haa zenon_H56 zenon_H20 zenon_Hb3 zenon_H77 zenon_H1dc zenon_H5d zenon_H49 zenon_H9e zenon_H67 zenon_H54 zenon_H86 zenon_H37 zenon_H40 zenon_H41. % 196.35/196.56 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H55 | zenon_intro zenon_Ha0 ]. % 196.35/196.56 apply (zenon_L455_); trivial. % 196.35/196.56 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_H61 | zenon_intro zenon_Ha1 ]. % 196.35/196.56 apply (zenon_L225_); trivial. % 196.35/196.56 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H6c | zenon_intro zenon_H87 ]. % 196.35/196.56 apply (zenon_L213_); trivial. % 196.35/196.56 apply (zenon_L40_); trivial. % 196.35/196.56 (* end of lemma zenon_L456_ *) % 196.35/196.56 assert (zenon_L457_ : (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> ((op2 (e22) (e23)) = (e21)) -> ((op2 (unit2) (e21)) = (e21)) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> ((op2 (e23) (e22)) = (e21)) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> ((op1 (e11) (unit1)) = (e11)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e13) (e11))) -> ((op1 (unit1) (e12)) = (e12)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> ((op1 (unit1) (e10)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((h8 (e13)) = (e21)) -> ((h8 (e10)) = (op2 (e22) (e22))) -> (~((h8 (op1 (e10) (e13))) = (op2 (h8 (e10)) (h8 (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((op2 (e21) (unit2)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> ((op2 (unit2) (e20)) = (e20)) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> ((op2 (e23) (e21)) = (e21)) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (unit2) (e22)) = (e22)) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((op2 (unit2) (e23)) = (e23)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e22) (unit2)) = (e22)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> False). % 196.35/196.56 do 0 intro. intros zenon_Hb6 zenon_H4d zenon_H1dc zenon_H77 zenon_Ha9 zenon_Hdb zenon_Hdf zenon_Hce zenon_H76 zenon_H2c zenon_H22 zenon_Hc1 zenon_H224 zenon_H1f4 zenon_H1f7 zenon_H1b5 zenon_H178 zenon_H192 zenon_H104 zenon_H17e zenon_H19c zenon_H196 zenon_H28d zenon_H197 zenon_H277 zenon_H26d zenon_H273 zenon_H290 zenon_H121 zenon_H120 zenon_H105 zenon_H15b zenon_H10f zenon_H13b zenon_H172 zenon_H127 zenon_H11a zenon_H18e zenon_H13a zenon_H185 zenon_H186 zenon_H18b zenon_H111 zenon_H173 zenon_H131 zenon_H133 zenon_H132 zenon_H143 zenon_H14c zenon_H14b zenon_H1a3 zenon_H28a zenon_H27d zenon_Hf0 zenon_H27a zenon_H267 zenon_H261 zenon_H1a7 zenon_Hcf zenon_H29 zenon_H1e2 zenon_H2a zenon_H293 zenon_H297 zenon_H296 zenon_H41 zenon_H37 zenon_H86 zenon_H54 zenon_H9e zenon_H49 zenon_H5d zenon_Hb5 zenon_H20 zenon_Haf zenon_Ha4 zenon_Hb3 zenon_H56 zenon_H9f zenon_H40 zenon_H67. % 196.35/196.56 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_H4e | zenon_intro zenon_Hb7 ]. % 196.35/196.56 apply (zenon_L214_); trivial. % 196.35/196.56 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_Haa | zenon_intro zenon_Hb8 ]. % 196.35/196.56 apply (zenon_L456_); trivial. % 196.35/196.56 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H7d ]. % 196.35/196.56 apply (zenon_L55_); trivial. % 196.35/196.56 apply (zenon_L31_); trivial. % 196.35/196.56 (* end of lemma zenon_L457_ *) % 196.35/196.56 assert (zenon_L458_ : (((op2 (e20) (e21)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/((op2 (e23) (e21)) = (e21))))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((e20) = (e23))) -> ((e22) = (op2 (e23) (e21))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((op2 (e22) (unit2)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((op2 (unit2) (e22)) = (e22)) -> (~((op2 (e22) (e21)) = (op2 (e23) (e21)))) -> (((op2 (e20) (e21)) = (e20))\/(((op2 (e20) (e21)) = (e21))\/(((op2 (e20) (e21)) = (e22))\/((op2 (e20) (e21)) = (e23))))) -> (~((op2 (e20) (e20)) = (op2 (e20) (e21)))) -> ((op2 (e21) (unit2)) = (e21)) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((h8 (op1 (e10) (e13))) = (op2 (h8 (e10)) (h8 (e13))))) -> ((h8 (e10)) = (op2 (e22) (e22))) -> ((h8 (e13)) = (e21)) -> (((op1 (e10) (e13)) = (e13))\/(((op1 (e11) (e13)) = (e13))\/(((op1 (e12) (e13)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e10)) = (e10)) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (unit1) (e12)) = (e12)) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (unit1)) = (e11)) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> ((op2 (unit2) (e21)) = (e21)) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> ((op2 (unit2) (e20)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e23) (unit2)) = (e23)) -> ((op2 (unit2) (e23)) = (e23)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> False). % 196.35/196.56 do 0 intro. intros zenon_H299 zenon_H1ca zenon_Hbd zenon_H40 zenon_H9f zenon_Hb3 zenon_Ha4 zenon_Haf zenon_Hb5 zenon_H5d zenon_H9e zenon_H86 zenon_H37 zenon_H296 zenon_H293 zenon_H1e2 zenon_Hcf zenon_H1a7 zenon_H261 zenon_H267 zenon_H27a zenon_Hf0 zenon_H27d zenon_H28a zenon_H1a3 zenon_H14b zenon_H14c zenon_H143 zenon_H132 zenon_H133 zenon_H131 zenon_H173 zenon_H111 zenon_H18b zenon_H186 zenon_H185 zenon_H13a zenon_H18e zenon_H11a zenon_H127 zenon_H172 zenon_H13b zenon_H10f zenon_H15b zenon_H105 zenon_H120 zenon_H121 zenon_H290 zenon_H273 zenon_H26d zenon_H277 zenon_H197 zenon_H28d zenon_H196 zenon_H19c zenon_H17e zenon_H104 zenon_H192 zenon_H178 zenon_H1b5 zenon_H1f7 zenon_H1f4 zenon_H224 zenon_Hc1 zenon_H22 zenon_H76 zenon_Hce zenon_Hdf zenon_Ha9 zenon_H77 zenon_H4d zenon_Hb6 zenon_Hba zenon_Hd4 zenon_Ha3 zenon_H39 zenon_H1d9 zenon_H1cd zenon_H1d4 zenon_H1d1 zenon_Hd8 zenon_H1de zenon_H49 zenon_H56 zenon_H2c zenon_H2a zenon_H29 zenon_H41 zenon_H54 zenon_H20 zenon_H67. % 196.35/196.56 apply (zenon_or_s _ _ zenon_H299); [ zenon_intro zenon_H27c | zenon_intro zenon_H29a ]. % 196.35/196.56 apply (zenon_L439_); trivial. % 196.35/196.56 apply (zenon_or_s _ _ zenon_H29a); [ zenon_intro zenon_H9b | zenon_intro zenon_H29b ]. % 196.35/196.56 apply (zenon_L448_); trivial. % 196.35/196.56 apply (zenon_or_s _ _ zenon_H29b); [ zenon_intro zenon_H1ce | zenon_intro zenon_H297 ]. % 196.35/196.56 apply (zenon_L452_); trivial. % 196.35/196.56 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H21 | zenon_intro zenon_H1cb ]. % 196.35/196.56 apply (zenon_L64_); trivial. % 196.35/196.56 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H8d | zenon_intro zenon_H1cc ]. % 196.35/196.56 apply (zenon_L65_); trivial. % 196.35/196.56 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H61 ]. % 196.35/196.56 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_Hd9 | zenon_intro zenon_H1df ]. % 196.35/196.56 apply (zenon_L84_); trivial. % 196.35/196.56 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H1ce | zenon_intro zenon_H1e0 ]. % 196.35/196.56 apply (zenon_L451_); trivial. % 196.35/196.56 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H78 | zenon_intro zenon_H1dc ]. % 196.35/196.56 apply (zenon_L450_); trivial. % 196.35/196.56 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_Hc0 | zenon_intro zenon_He0 ]. % 196.35/196.56 apply (zenon_L218_); trivial. % 196.35/196.56 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hd0 | zenon_intro zenon_He1 ]. % 196.35/196.56 apply (zenon_L79_); trivial. % 196.35/196.56 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_H78 | zenon_intro zenon_Hdb ]. % 196.35/196.56 apply (zenon_L450_); trivial. % 196.35/196.56 apply (zenon_L457_); trivial. % 196.35/196.56 apply (zenon_L23_); trivial. % 196.35/196.56 (* end of lemma zenon_L458_ *) % 196.35/196.56 assert (zenon_L459_ : (~((h8 (op1 (e11) (e10))) = (op2 (h8 (e11)) (h8 (e10))))) -> ((op1 (e11) (e10)) = (e11)) -> ((op2 (e22) (e20)) = (e22)) -> ((h8 (e11)) = (e22)) -> ((h8 (e10)) = (op2 (e22) (e22))) -> ((op2 (e22) (e22)) = (e20)) -> False). % 196.35/196.56 do 0 intro. intros zenon_H29c zenon_H29d zenon_H38 zenon_H1fd zenon_Hf0 zenon_H6f. % 196.35/196.56 cut (((h8 (e11)) = (e22)) = ((h8 (op1 (e11) (e10))) = (op2 (h8 (e11)) (h8 (e10))))). % 196.35/196.56 intro zenon_D_pnotp. % 196.35/196.56 apply zenon_H29c. % 196.35/196.56 rewrite <- zenon_D_pnotp. % 196.35/196.56 exact zenon_H1fd. % 196.35/196.56 cut (((e22) = (op2 (h8 (e11)) (h8 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H29e]. % 196.35/196.56 cut (((h8 (e11)) = (h8 (op1 (e11) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H29f]. % 196.35/196.56 congruence. % 196.35/196.56 elim (classic ((h8 (op1 (e11) (e10))) = (h8 (op1 (e11) (e10))))); [ zenon_intro zenon_H2a0 | zenon_intro zenon_H2a1 ]. % 196.35/196.56 cut (((h8 (op1 (e11) (e10))) = (h8 (op1 (e11) (e10)))) = ((h8 (e11)) = (h8 (op1 (e11) (e10))))). % 196.35/196.56 intro zenon_D_pnotp. % 196.35/196.56 apply zenon_H29f. % 196.35/196.56 rewrite <- zenon_D_pnotp. % 196.35/196.56 exact zenon_H2a0. % 196.35/196.56 cut (((h8 (op1 (e11) (e10))) = (h8 (op1 (e11) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H2a1]. % 196.35/196.56 cut (((h8 (op1 (e11) (e10))) = (h8 (e11)))); [idtac | apply NNPP; zenon_intro zenon_H2a2]. % 196.35/196.56 congruence. % 196.35/196.56 cut (((op1 (e11) (e10)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H2a3]. % 196.35/196.56 congruence. % 196.35/196.56 exact (zenon_H2a3 zenon_H29d). % 196.35/196.56 apply zenon_H2a1. apply refl_equal. % 196.35/196.56 apply zenon_H2a1. apply refl_equal. % 196.35/196.56 elim (classic ((op2 (h8 (e11)) (h8 (e10))) = (op2 (h8 (e11)) (h8 (e10))))); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H2a5 ]. % 196.35/196.56 cut (((op2 (h8 (e11)) (h8 (e10))) = (op2 (h8 (e11)) (h8 (e10)))) = ((e22) = (op2 (h8 (e11)) (h8 (e10))))). % 196.35/196.56 intro zenon_D_pnotp. % 196.35/196.56 apply zenon_H29e. % 196.35/196.56 rewrite <- zenon_D_pnotp. % 196.35/196.56 exact zenon_H2a4. % 196.35/196.56 cut (((op2 (h8 (e11)) (h8 (e10))) = (op2 (h8 (e11)) (h8 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H2a5]. % 196.35/196.56 cut (((op2 (h8 (e11)) (h8 (e10))) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H2a6]. % 196.35/196.56 congruence. % 196.35/196.56 cut (((op2 (e22) (e20)) = (e22)) = ((op2 (h8 (e11)) (h8 (e10))) = (e22))). % 196.35/196.56 intro zenon_D_pnotp. % 196.35/196.56 apply zenon_H2a6. % 196.35/196.56 rewrite <- zenon_D_pnotp. % 196.35/196.56 exact zenon_H38. % 196.35/196.56 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H33]. % 196.35/196.56 cut (((op2 (e22) (e20)) = (op2 (h8 (e11)) (h8 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H2a7]. % 196.35/196.56 congruence. % 196.35/196.56 elim (classic ((op2 (h8 (e11)) (h8 (e10))) = (op2 (h8 (e11)) (h8 (e10))))); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H2a5 ]. % 196.35/196.56 cut (((op2 (h8 (e11)) (h8 (e10))) = (op2 (h8 (e11)) (h8 (e10)))) = ((op2 (e22) (e20)) = (op2 (h8 (e11)) (h8 (e10))))). % 196.35/196.56 intro zenon_D_pnotp. % 196.35/196.56 apply zenon_H2a7. % 196.35/196.56 rewrite <- zenon_D_pnotp. % 196.35/196.56 exact zenon_H2a4. % 196.35/196.56 cut (((op2 (h8 (e11)) (h8 (e10))) = (op2 (h8 (e11)) (h8 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H2a5]. % 196.35/196.56 cut (((op2 (h8 (e11)) (h8 (e10))) = (op2 (e22) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H2a8]. % 196.35/196.56 congruence. % 196.35/196.56 cut (((h8 (e10)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_Hef]. % 196.35/196.56 cut (((h8 (e11)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H209]. % 196.35/196.56 congruence. % 196.35/196.56 exact (zenon_H209 zenon_H1fd). % 196.35/196.56 apply (zenon_L94_); trivial. % 196.35/196.56 apply zenon_H2a5. apply refl_equal. % 196.35/196.56 apply zenon_H2a5. apply refl_equal. % 196.35/196.56 apply zenon_H33. apply refl_equal. % 196.35/196.56 apply zenon_H2a5. apply refl_equal. % 196.35/196.56 apply zenon_H2a5. apply refl_equal. % 196.35/196.56 (* end of lemma zenon_L459_ *) % 196.35/196.56 assert (zenon_L460_ : (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> ((op1 (e11) (e11)) = (e11)) -> ((op1 (e11) (unit1)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e10)) = (e13)) -> ((op1 (e13) (unit1)) = (e13)) -> ((op1 (unit1) (e12)) = (e12)) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> False). % 196.35/196.56 do 0 intro. intros zenon_H127 zenon_H16f zenon_H197 zenon_H131 zenon_H111 zenon_H11a zenon_H110 zenon_H10f zenon_H105 zenon_H120 zenon_H121. % 196.35/196.56 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H102 | zenon_intro zenon_H128 ]. % 196.35/196.56 apply (zenon_L416_); trivial. % 196.35/196.56 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H10d | zenon_intro zenon_H129 ]. % 196.35/196.56 apply (zenon_L104_); trivial. % 196.35/196.56 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H118 | zenon_intro zenon_H11f ]. % 196.35/196.56 apply (zenon_L106_); trivial. % 196.35/196.56 apply (zenon_L107_); trivial. % 196.35/196.56 (* end of lemma zenon_L460_ *) % 196.35/196.56 assert (zenon_L461_ : (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> ((op1 (e11) (unit1)) = (e11)) -> ((unit1) = (e10)) -> ((op1 (e11) (e13)) = (e11)) -> False). % 196.35/196.56 do 0 intro. intros zenon_H237 zenon_H197 zenon_H102 zenon_H2a9. % 196.35/196.56 cut (((op1 (e11) (unit1)) = (e11)) = ((op1 (e11) (e10)) = (op1 (e11) (e13)))). % 196.35/196.56 intro zenon_D_pnotp. % 196.35/196.56 apply zenon_H237. % 196.35/196.56 rewrite <- zenon_D_pnotp. % 196.35/196.56 exact zenon_H197. % 196.35/196.56 cut (((e11) = (op1 (e11) (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2aa]. % 196.35/196.56 cut (((op1 (e11) (unit1)) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H19a]. % 196.35/196.56 congruence. % 196.35/196.56 elim (classic ((op1 (e11) (e10)) = (op1 (e11) (e10)))); [ zenon_intro zenon_H136 | zenon_intro zenon_H137 ]. % 196.35/196.56 cut (((op1 (e11) (e10)) = (op1 (e11) (e10))) = ((op1 (e11) (unit1)) = (op1 (e11) (e10)))). % 196.35/196.56 intro zenon_D_pnotp. % 196.35/196.56 apply zenon_H19a. % 196.35/196.56 rewrite <- zenon_D_pnotp. % 196.35/196.56 exact zenon_H136. % 196.35/196.56 cut (((op1 (e11) (e10)) = (op1 (e11) (e10)))); [idtac | apply NNPP; zenon_intro zenon_H137]. % 196.35/196.56 cut (((op1 (e11) (e10)) = (op1 (e11) (unit1)))); [idtac | apply NNPP; zenon_intro zenon_H195]. % 196.35/196.56 congruence. % 196.35/196.56 apply (zenon_L151_); trivial. % 196.35/196.56 apply zenon_H137. apply refl_equal. % 196.35/196.56 apply zenon_H137. apply refl_equal. % 196.35/196.56 apply zenon_H2aa. apply sym_equal. exact zenon_H2a9. % 196.35/196.56 (* end of lemma zenon_L461_ *) % 196.35/196.56 assert (zenon_L462_ : (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> ((op1 (e11) (e13)) = (e11)) -> ((op1 (e11) (unit1)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e10)) = (e13)) -> ((op1 (e13) (unit1)) = (e13)) -> ((op1 (unit1) (e12)) = (e12)) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> False). % 196.35/196.56 do 0 intro. intros zenon_H127 zenon_H2a9 zenon_H197 zenon_H237 zenon_H111 zenon_H11a zenon_H110 zenon_H10f zenon_H105 zenon_H120 zenon_H121. % 196.35/196.56 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H102 | zenon_intro zenon_H128 ]. % 196.35/196.56 apply (zenon_L461_); trivial. % 196.35/196.56 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H10d | zenon_intro zenon_H129 ]. % 196.35/196.56 apply (zenon_L104_); trivial. % 196.35/196.56 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H118 | zenon_intro zenon_H11f ]. % 196.35/196.56 apply (zenon_L106_); trivial. % 196.35/196.56 apply (zenon_L107_); trivial. % 196.35/196.56 (* end of lemma zenon_L462_ *) % 196.35/196.56 assert (zenon_L463_ : (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((op2 (e22) (e22)) = (e20)) -> ((h8 (e10)) = (op2 (e22) (e22))) -> ((h8 (e11)) = (e22)) -> ((op2 (e22) (e20)) = (e22)) -> (~((h8 (op1 (e11) (e10))) = (op2 (h8 (e11)) (h8 (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> ((op1 (e11) (unit1)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e10)) = (e13)) -> ((op1 (e13) (unit1)) = (e13)) -> ((op1 (unit1) (e12)) = (e12)) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> False). % 196.35/196.56 do 0 intro. intros zenon_H2ab zenon_H6f zenon_Hf0 zenon_H1fd zenon_H38 zenon_H29c zenon_H131 zenon_H196 zenon_H127 zenon_H197 zenon_H237 zenon_H111 zenon_H11a zenon_H110 zenon_H10f zenon_H105 zenon_H120 zenon_H121. % 196.35/196.56 apply (zenon_or_s _ _ zenon_H2ab); [ zenon_intro zenon_H29d | zenon_intro zenon_H2ac ]. % 196.35/196.56 apply (zenon_L459_); trivial. % 196.35/196.56 apply (zenon_or_s _ _ zenon_H2ac); [ zenon_intro zenon_H16f | zenon_intro zenon_H2ad ]. % 196.35/196.56 apply (zenon_L460_); trivial. % 196.35/196.56 apply (zenon_or_s _ _ zenon_H2ad); [ zenon_intro zenon_H198 | zenon_intro zenon_H2a9 ]. % 196.35/196.56 apply (zenon_L153_); trivial. % 196.35/196.56 apply (zenon_L462_); trivial. % 196.35/196.56 (* end of lemma zenon_L463_ *) % 196.35/196.56 assert (zenon_L464_ : (((op2 (e20) (e20)) = (e20))/\(((op2 (e21) (e21)) = (e20))/\(((op2 (e22) (e22)) = (e20))/\((op2 (e23) (e23)) = (e20))))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((h8 (e10)) = (op2 (e22) (e22))) -> ((h8 (e11)) = (e22)) -> ((op2 (e22) (e20)) = (e22)) -> (~((h8 (op1 (e11) (e10))) = (op2 (h8 (e11)) (h8 (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> ((op1 (e11) (unit1)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e10)) = (e13)) -> ((op1 (e13) (unit1)) = (e13)) -> ((op1 (unit1) (e12)) = (e12)) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> False). % 196.35/196.56 do 0 intro. intros zenon_H90 zenon_H2ab zenon_Hf0 zenon_H1fd zenon_H38 zenon_H29c zenon_H131 zenon_H196 zenon_H127 zenon_H197 zenon_H237 zenon_H111 zenon_H11a zenon_H110 zenon_H10f zenon_H105 zenon_H120 zenon_H121. % 196.35/196.56 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H92. zenon_intro zenon_H91. % 196.35/196.56 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H94. zenon_intro zenon_H93. % 196.35/196.56 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_H6f. zenon_intro zenon_H95. % 196.35/196.56 apply (zenon_L463_); trivial. % 196.35/196.56 (* end of lemma zenon_L464_ *) % 196.35/196.56 assert (zenon_L465_ : (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e13) (e11))) -> ((op1 (unit1) (e12)) = (e12)) -> ((op1 (e13) (unit1)) = (e13)) -> ((op1 (e13) (e10)) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> ((op1 (e11) (unit1)) = (e11)) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((h8 (op1 (e11) (e10))) = (op2 (h8 (e11)) (h8 (e10))))) -> ((op2 (e22) (e20)) = (e22)) -> ((h8 (e11)) = (e22)) -> ((h8 (e10)) = (op2 (e22) (e22))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((op2 (e21) (unit2)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (e23) (unit2)) = (e23)) -> ((unit2) = (e20)) -> False). % 196.35/196.56 do 0 intro. intros zenon_H121 zenon_H120 zenon_H105 zenon_H10f zenon_H110 zenon_H11a zenon_H111 zenon_H237 zenon_H197 zenon_H127 zenon_H196 zenon_H131 zenon_H29c zenon_H38 zenon_H1fd zenon_Hf0 zenon_H2ab zenon_Hcf zenon_H29 zenon_H67 zenon_H40 zenon_H9e zenon_H54 zenon_H1e. % 196.35/196.56 apply (zenon_or_s _ _ ax13); [ zenon_intro zenon_H90 | zenon_intro zenon_H8f ]. % 196.35/196.56 apply (zenon_L464_); trivial. % 196.35/196.56 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H97 | zenon_intro zenon_H96 ]. % 196.35/196.56 apply (zenon_L91_); trivial. % 196.35/196.56 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H80 | zenon_intro zenon_H89 ]. % 196.35/196.56 apply (zenon_L32_); trivial. % 196.35/196.56 apply (zenon_L92_); trivial. % 196.35/196.56 (* end of lemma zenon_L465_ *) % 196.35/196.56 assert (zenon_L466_ : (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((unit2) = (e20)) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (e21) (unit2)) = (e21)) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((h8 (e10)) = (op2 (e22) (e22))) -> ((h8 (e11)) = (e22)) -> ((op2 (e22) (e20)) = (e22)) -> (~((h8 (op1 (e11) (e10))) = (op2 (h8 (e11)) (h8 (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((op1 (e11) (unit1)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((op1 (unit1) (e10)) = (e10)) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> ((op1 (e12) (e12)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (unit1) (e12)) = (e12)) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> False). % 196.35/196.56 do 0 intro. intros zenon_H173 zenon_H1e zenon_H54 zenon_H9e zenon_H40 zenon_H67 zenon_H29 zenon_Hcf zenon_H2ab zenon_Hf0 zenon_H1fd zenon_H38 zenon_H29c zenon_H196 zenon_H197 zenon_H237 zenon_H131 zenon_H132 zenon_H133 zenon_H111 zenon_H13a zenon_H14b zenon_H14c zenon_H14d zenon_H11a zenon_H127 zenon_H172 zenon_H13b zenon_H10f zenon_H15b zenon_H105 zenon_H120 zenon_H121. % 196.35/196.56 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H110 | zenon_intro zenon_H174 ]. % 196.35/196.56 apply (zenon_L465_); trivial. % 196.35/196.56 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H12b | zenon_intro zenon_H175 ]. % 196.35/196.56 apply (zenon_L341_); trivial. % 196.35/196.56 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H140 | zenon_intro zenon_H15c ]. % 196.35/196.56 apply (zenon_L191_); trivial. % 196.35/196.56 apply (zenon_L133_); trivial. % 196.35/196.56 (* end of lemma zenon_L466_ *) % 196.35/196.56 assert (zenon_L467_ : (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((unit2) = (e20)) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (e21) (unit2)) = (e21)) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((h8 (e10)) = (op2 (e22) (e22))) -> ((h8 (e11)) = (e22)) -> ((op2 (e22) (e20)) = (e22)) -> (~((h8 (op1 (e11) (e10))) = (op2 (h8 (e11)) (h8 (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((op1 (e11) (unit1)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> ((op1 (e13) (e12)) = (e11)) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (e11) (e13)) = (e12)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (unit1) (e13)) = (e13)) -> ((op1 (e12) (e11)) = (e13)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (unit1) (e12)) = (e12)) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> False). % 196.35/196.56 do 0 intro. intros zenon_H173 zenon_H1e zenon_H54 zenon_H9e zenon_H40 zenon_H67 zenon_H29 zenon_Hcf zenon_H2ab zenon_Hf0 zenon_H1fd zenon_H38 zenon_H29c zenon_H131 zenon_H196 zenon_H197 zenon_H237 zenon_H1b1 zenon_H14c zenon_H17e zenon_H17f zenon_H111 zenon_H13a zenon_H21d zenon_H18b zenon_H11a zenon_H127 zenon_H172 zenon_H13b zenon_H10f zenon_H15b zenon_H105 zenon_H120 zenon_H121. % 196.35/196.56 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H110 | zenon_intro zenon_H174 ]. % 196.35/196.56 apply (zenon_L465_); trivial. % 196.35/196.56 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H12b | zenon_intro zenon_H175 ]. % 196.35/196.56 apply (zenon_L172_); trivial. % 196.35/196.56 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H140 | zenon_intro zenon_H15c ]. % 196.35/196.56 apply (zenon_L287_); trivial. % 196.35/196.56 apply (zenon_L133_); trivial. % 196.35/196.56 (* end of lemma zenon_L467_ *) % 196.35/196.56 assert (zenon_L468_ : (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((op1 (e12) (e13)) = (e11)) -> ((e10) = (op1 (e11) (e11))) -> ((op1 (unit1) (e10)) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> ((op1 (e12) (e11)) = (e13)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (unit1) (e11)) = (e11)) -> ((op1 (e13) (e12)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> ((op1 (e11) (unit1)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((h8 (op1 (e11) (e10))) = (op2 (h8 (e11)) (h8 (e10))))) -> ((op2 (e22) (e20)) = (e22)) -> ((h8 (e11)) = (e22)) -> ((h8 (e10)) = (op2 (e22) (e22))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((op2 (e21) (unit2)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (e23) (unit2)) = (e23)) -> ((unit2) = (e20)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (unit1) (e12)) = (e12)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> False). % 196.35/196.57 do 0 intro. intros zenon_H192 zenon_H218 zenon_H133 zenon_H132 zenon_H104 zenon_H21d zenon_H17e zenon_H14c zenon_H1b1 zenon_H237 zenon_H197 zenon_H196 zenon_H131 zenon_H29c zenon_H38 zenon_H1fd zenon_Hf0 zenon_H2ab zenon_Hcf zenon_H29 zenon_H67 zenon_H40 zenon_H9e zenon_H54 zenon_H1e zenon_H121 zenon_H105 zenon_H15b zenon_H10f zenon_H172 zenon_H127 zenon_H11a zenon_H18e zenon_H13a zenon_H185 zenon_H186 zenon_H18b zenon_H111 zenon_H173 zenon_H120 zenon_H13b. % 196.35/196.57 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H106 | zenon_intro zenon_H193 ]. % 196.35/196.57 apply (zenon_L290_); trivial. % 196.35/196.57 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H17f | zenon_intro zenon_H194 ]. % 196.35/196.57 apply (zenon_L467_); trivial. % 196.35/196.57 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H187 | zenon_intro zenon_H152 ]. % 196.35/196.57 apply (zenon_L149_); trivial. % 196.35/196.57 apply (zenon_L124_); trivial. % 196.35/196.57 (* end of lemma zenon_L468_ *) % 196.35/196.57 assert (zenon_L469_ : (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((op1 (e12) (e13)) = (e11)) -> ((e10) = (op1 (e11) (e11))) -> ((op1 (unit1) (e10)) = (e10)) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> ((op1 (e12) (e11)) = (e13)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> ((op1 (e11) (unit1)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((h8 (op1 (e11) (e10))) = (op2 (h8 (e11)) (h8 (e10))))) -> ((op2 (e22) (e20)) = (e22)) -> ((h8 (e11)) = (e22)) -> ((h8 (e10)) = (op2 (e22) (e22))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((op2 (e21) (unit2)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (e23) (unit2)) = (e23)) -> ((unit2) = (e20)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (unit1) (e12)) = (e12)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> False). % 196.35/196.57 do 0 intro. intros zenon_H1b5 zenon_H178 zenon_H143 zenon_H1a3 zenon_H19c zenon_H1a7 zenon_H14b zenon_H192 zenon_H218 zenon_H133 zenon_H132 zenon_H104 zenon_H21d zenon_H17e zenon_H14c zenon_H237 zenon_H197 zenon_H196 zenon_H131 zenon_H29c zenon_H38 zenon_H1fd zenon_Hf0 zenon_H2ab zenon_Hcf zenon_H29 zenon_H67 zenon_H40 zenon_H9e zenon_H54 zenon_H1e zenon_H121 zenon_H105 zenon_H15b zenon_H10f zenon_H172 zenon_H127 zenon_H11a zenon_H18e zenon_H13a zenon_H185 zenon_H186 zenon_H18b zenon_H111 zenon_H173 zenon_H120 zenon_H13b. % 196.35/196.57 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H177 | zenon_intro zenon_H1b6 ]. % 196.35/196.57 apply (zenon_L150_); trivial. % 196.35/196.57 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H198 | zenon_intro zenon_H1b7 ]. % 196.35/196.57 apply (zenon_L292_); trivial. % 196.35/196.57 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H14d | zenon_intro zenon_H1b1 ]. % 196.35/196.57 apply (zenon_L466_); trivial. % 196.35/196.57 apply (zenon_L468_); trivial. % 196.35/196.57 (* end of lemma zenon_L469_ *) % 196.35/196.57 assert (zenon_L470_ : (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (unit1) (e12)) = (e12)) -> ((unit2) = (e20)) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (e21) (unit2)) = (e21)) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((h8 (e10)) = (op2 (e22) (e22))) -> ((h8 (e11)) = (e22)) -> ((op2 (e22) (e20)) = (e22)) -> (~((h8 (op1 (e11) (e10))) = (op2 (h8 (e11)) (h8 (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((op1 (e11) (unit1)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> ((op1 (e12) (e13)) = (e11)) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> ((op1 (e11) (e12)) = (e13)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e10)) = (e10)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> ((op1 (e13) (e12)) = (e11)) -> False). % 196.35/196.57 do 0 intro. intros zenon_H264 zenon_H259 zenon_H173 zenon_H111 zenon_H18b zenon_H186 zenon_H185 zenon_H18e zenon_H11a zenon_H172 zenon_H105 zenon_H1e zenon_H54 zenon_H9e zenon_H40 zenon_H67 zenon_H29 zenon_Hcf zenon_H2ab zenon_Hf0 zenon_H1fd zenon_H38 zenon_H29c zenon_H196 zenon_H197 zenon_H237 zenon_H17e zenon_H104 zenon_H218 zenon_H192 zenon_H1a7 zenon_H19c zenon_H1a3 zenon_H178 zenon_H1b5 zenon_H25f zenon_H25e zenon_H127 zenon_H13a zenon_H261 zenon_H133 zenon_H131 zenon_H10f zenon_H15b zenon_H120 zenon_H13b zenon_H14b zenon_H143 zenon_H132 zenon_H121 zenon_H14c zenon_H1b1. % 196.35/196.57 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H256 | zenon_intro zenon_H265 ]. % 196.35/196.57 apply (zenon_L389_); trivial. % 196.35/196.57 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H21d | zenon_intro zenon_H266 ]. % 196.35/196.57 apply (zenon_L469_); trivial. % 196.35/196.57 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H163 | zenon_intro zenon_H262 ]. % 196.35/196.57 apply (zenon_L367_); trivial. % 196.35/196.57 apply (zenon_L392_); trivial. % 196.35/196.57 (* end of lemma zenon_L470_ *) % 196.35/196.57 assert (zenon_L471_ : (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (unit1) (e12)) = (e12)) -> ((unit2) = (e20)) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (e21) (unit2)) = (e21)) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((h8 (e10)) = (op2 (e22) (e22))) -> ((h8 (e11)) = (e22)) -> ((op2 (e22) (e20)) = (e22)) -> (~((h8 (op1 (e11) (e10))) = (op2 (h8 (e11)) (h8 (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((op1 (e11) (unit1)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> ((op1 (e12) (e13)) = (e11)) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> ((op1 (e11) (e12)) = (e13)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e10)) = (e10)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> False). % 196.35/196.57 do 0 intro. intros zenon_H264 zenon_H259 zenon_H173 zenon_H111 zenon_H18b zenon_H186 zenon_H185 zenon_H18e zenon_H11a zenon_H172 zenon_H105 zenon_H1e zenon_H54 zenon_H9e zenon_H40 zenon_H67 zenon_H29 zenon_Hcf zenon_H2ab zenon_Hf0 zenon_H1fd zenon_H38 zenon_H29c zenon_H196 zenon_H197 zenon_H237 zenon_H17e zenon_H104 zenon_H218 zenon_H192 zenon_H1a7 zenon_H19c zenon_H1a3 zenon_H178 zenon_H1b5 zenon_H25f zenon_H25e zenon_H127 zenon_H13a zenon_H261 zenon_H133 zenon_H131 zenon_H10f zenon_H15b zenon_H120 zenon_H13b zenon_H14b zenon_H143 zenon_H132 zenon_H121 zenon_H14c. % 196.35/196.57 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H177 | zenon_intro zenon_H1b6 ]. % 196.35/196.57 apply (zenon_L150_); trivial. % 196.35/196.57 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H198 | zenon_intro zenon_H1b7 ]. % 196.35/196.57 apply (zenon_L292_); trivial. % 196.35/196.57 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H14d | zenon_intro zenon_H1b1 ]. % 196.35/196.57 apply (zenon_L466_); trivial. % 196.35/196.57 apply (zenon_L470_); trivial. % 196.35/196.57 (* end of lemma zenon_L471_ *) % 196.35/196.57 assert (zenon_L472_ : (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (unit1) (e12)) = (e12)) -> ((unit2) = (e20)) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (e21) (unit2)) = (e21)) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((h8 (e10)) = (op2 (e22) (e22))) -> ((h8 (e11)) = (e22)) -> ((op2 (e22) (e20)) = (e22)) -> (~((h8 (op1 (e11) (e10))) = (op2 (h8 (e11)) (h8 (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((op1 (e11) (unit1)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> ((op1 (e11) (e12)) = (e13)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e10)) = (e10)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> False). % 196.35/196.57 do 0 intro. intros zenon_H224 zenon_H1f4 zenon_H1f7 zenon_H264 zenon_H259 zenon_H173 zenon_H111 zenon_H18b zenon_H186 zenon_H185 zenon_H18e zenon_H11a zenon_H172 zenon_H105 zenon_H1e zenon_H54 zenon_H9e zenon_H40 zenon_H67 zenon_H29 zenon_Hcf zenon_H2ab zenon_Hf0 zenon_H1fd zenon_H38 zenon_H29c zenon_H196 zenon_H197 zenon_H237 zenon_H17e zenon_H104 zenon_H192 zenon_H1a7 zenon_H19c zenon_H1a3 zenon_H178 zenon_H1b5 zenon_H25f zenon_H25e zenon_H127 zenon_H13a zenon_H261 zenon_H133 zenon_H131 zenon_H10f zenon_H15b zenon_H120 zenon_H13b zenon_H14b zenon_H143 zenon_H132 zenon_H121 zenon_H14c. % 196.35/196.57 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H226 ]. % 196.35/196.57 apply (zenon_L269_); trivial. % 196.35/196.57 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_H1f8 | zenon_intro zenon_H227 ]. % 196.35/196.57 apply (zenon_L349_); trivial. % 196.35/196.57 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H14d | zenon_intro zenon_H218 ]. % 196.35/196.57 apply (zenon_L466_); trivial. % 196.35/196.57 apply (zenon_L471_); trivial. % 196.35/196.57 (* end of lemma zenon_L472_ *) % 196.35/196.57 assert (zenon_L473_ : (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e13) (e11))) -> ((op1 (unit1) (e12)) = (e12)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> ((op1 (unit1) (e10)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((op1 (e11) (unit1)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e21) (unit2)) = (e21)) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((h8 (e10)) = (op2 (e22) (e22))) -> ((h8 (e11)) = (e22)) -> ((op2 (e22) (e20)) = (e22)) -> (~((h8 (op1 (e11) (e10))) = (op2 (h8 (e11)) (h8 (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((e10) = (e13))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((e20) = (op2 (e21) (e21))) -> ((op2 (unit2) (e20)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (e22) (e22)) = (e21)) -> ((op2 (unit2) (e21)) = (e21)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e22)) = (e22)) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> False). % 196.35/196.57 do 0 intro. intros zenon_H49 zenon_H121 zenon_H120 zenon_H105 zenon_H15b zenon_H10f zenon_H13b zenon_H172 zenon_H127 zenon_H11a zenon_H18e zenon_H13a zenon_H185 zenon_H186 zenon_H18b zenon_H111 zenon_H173 zenon_H131 zenon_H133 zenon_H132 zenon_H143 zenon_H14c zenon_H14b zenon_H192 zenon_H104 zenon_H17e zenon_H1a3 zenon_H267 zenon_H1a7 zenon_H197 zenon_H196 zenon_H19c zenon_H178 zenon_H1b5 zenon_H224 zenon_H1f4 zenon_H1f7 zenon_H264 zenon_H259 zenon_H54 zenon_H9e zenon_H67 zenon_Hcf zenon_H2ab zenon_Hf0 zenon_H1fd zenon_H38 zenon_H29c zenon_H237 zenon_H25e zenon_H261 zenon_H21a zenon_H223 zenon_H20f zenon_H23e zenon_H26a zenon_H2c zenon_H2a zenon_H29 zenon_H78 zenon_H77 zenon_H76 zenon_H37 zenon_H40 zenon_H41. % 196.35/196.57 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H1e | zenon_intro zenon_H4a ]. % 196.35/196.57 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H236 | zenon_intro zenon_H26b ]. % 196.35/196.57 apply (zenon_L347_); trivial. % 196.35/196.57 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H162 | zenon_intro zenon_H26c ]. % 196.35/196.57 apply (zenon_L284_); trivial. % 196.35/196.57 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H25f | zenon_intro zenon_H268 ]. % 196.35/196.57 apply (zenon_L472_); trivial. % 196.35/196.57 apply (zenon_L397_); trivial. % 196.35/196.57 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2b | zenon_intro zenon_H4b ]. % 196.35/196.57 apply (zenon_L5_); trivial. % 196.35/196.57 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H3f ]. % 196.35/196.57 apply (zenon_L30_); trivial. % 196.35/196.57 apply (zenon_L9_); trivial. % 196.35/196.57 (* end of lemma zenon_L473_ *) % 196.35/196.57 assert (zenon_L474_ : (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> ((op2 (e22) (e22)) = (e21)) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((h8 (op1 (e11) (e10))) = (op2 (h8 (e11)) (h8 (e10))))) -> ((h8 (e11)) = (e22)) -> ((h8 (e10)) = (op2 (e22) (e22))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((op2 (e21) (unit2)) = (e21)) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((op1 (e11) (unit1)) = (e11)) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e10)) = (e10)) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (unit1) (e12)) = (e12)) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op2 (e22) (e21)) = (e23)) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> ((op2 (unit2) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e21)) = (e21)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((op2 (e22) (unit2)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (unit2) (e23)) = (e23)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((op2 (unit2) (e22)) = (e22)) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> False). % 196.35/196.57 do 0 intro. intros zenon_Hba zenon_H78 zenon_H26a zenon_H23e zenon_H20f zenon_H223 zenon_H21a zenon_H261 zenon_H25e zenon_H237 zenon_H29c zenon_H1fd zenon_Hf0 zenon_H2ab zenon_Hcf zenon_H259 zenon_H264 zenon_H1f7 zenon_H1f4 zenon_H224 zenon_H1b5 zenon_H178 zenon_H19c zenon_H196 zenon_H197 zenon_H1a7 zenon_H267 zenon_H1a3 zenon_H17e zenon_H104 zenon_H192 zenon_H14b zenon_H14c zenon_H143 zenon_H132 zenon_H133 zenon_H131 zenon_H173 zenon_H111 zenon_H18b zenon_H186 zenon_H185 zenon_H13a zenon_H18e zenon_H11a zenon_H127 zenon_H172 zenon_H13b zenon_H10f zenon_H15b zenon_H105 zenon_H120 zenon_H121 zenon_Hc7 zenon_H2c zenon_H29 zenon_Ha3 zenon_Ha9 zenon_H2a zenon_H39 zenon_H77 zenon_H76 zenon_H4d zenon_Hb6 zenon_H9f zenon_H56 zenon_Hb3 zenon_Ha4 zenon_Haf zenon_H20 zenon_Hb5 zenon_H5d zenon_H49 zenon_H9e zenon_H67 zenon_H54 zenon_H86 zenon_H37 zenon_H40 zenon_H41. % 196.35/196.57 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H38 | zenon_intro zenon_Hbb ]. % 196.35/196.57 apply (zenon_L473_); trivial. % 196.35/196.57 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_Ha5 | zenon_intro zenon_Hbc ]. % 196.35/196.57 apply (zenon_L217_); trivial. % 196.35/196.57 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H85 | zenon_intro zenon_Hb0 ]. % 196.35/196.57 apply (zenon_L63_); trivial. % 196.35/196.57 apply (zenon_L55_); trivial. % 196.35/196.57 (* end of lemma zenon_L474_ *) % 196.35/196.57 assert (zenon_L475_ : (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e13) (e11))) -> ((op1 (unit1) (e12)) = (e12)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> ((op1 (unit1) (e10)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((op1 (e11) (unit1)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((op2 (e21) (unit2)) = (e21)) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((h8 (e10)) = (op2 (e22) (e22))) -> ((h8 (e11)) = (e22)) -> (~((h8 (op1 (e11) (e10))) = (op2 (h8 (e11)) (h8 (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((e10) = (e13))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> ((op2 (e22) (e21)) = (e21)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e22) (e21)) = (e23)) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> ((op2 (unit2) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e21)) = (e21)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((op2 (e22) (unit2)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (unit2) (e23)) = (e23)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((op2 (unit2) (e22)) = (e22)) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> False). % 196.35/196.57 do 0 intro. intros zenon_Hdf zenon_Hc1 zenon_Hd4 zenon_Hce zenon_H121 zenon_H120 zenon_H105 zenon_H15b zenon_H10f zenon_H13b zenon_H172 zenon_H127 zenon_H11a zenon_H18e zenon_H13a zenon_H185 zenon_H186 zenon_H18b zenon_H111 zenon_H173 zenon_H131 zenon_H133 zenon_H132 zenon_H143 zenon_H14c zenon_H14b zenon_H192 zenon_H104 zenon_H17e zenon_H1a3 zenon_H267 zenon_H1a7 zenon_H197 zenon_H196 zenon_H19c zenon_H178 zenon_H1b5 zenon_H224 zenon_H1f4 zenon_H1f7 zenon_H264 zenon_H259 zenon_Hcf zenon_H2ab zenon_Hf0 zenon_H1fd zenon_H29c zenon_H237 zenon_H25e zenon_H261 zenon_H21a zenon_H223 zenon_H20f zenon_H23e zenon_H26a zenon_H1d9 zenon_H1cd zenon_H1ce zenon_H1d4 zenon_Hba zenon_H1d1 zenon_Hc7 zenon_H2c zenon_H29 zenon_Ha3 zenon_Ha9 zenon_H2a zenon_H39 zenon_H77 zenon_H76 zenon_H4d zenon_Hb6 zenon_H9f zenon_H56 zenon_Hb3 zenon_Ha4 zenon_Haf zenon_H20 zenon_Hb5 zenon_H5d zenon_H49 zenon_H9e zenon_H67 zenon_H54 zenon_H86 zenon_H37 zenon_H40 zenon_H41. % 196.35/196.57 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_Hc0 | zenon_intro zenon_He0 ]. % 196.35/196.57 apply (zenon_L71_); trivial. % 196.35/196.57 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hd0 | zenon_intro zenon_He1 ]. % 196.35/196.57 apply (zenon_L79_); trivial. % 196.35/196.57 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_H78 | zenon_intro zenon_Hdb ]. % 196.35/196.57 apply (zenon_L474_); trivial. % 196.35/196.57 apply (zenon_L250_); trivial. % 196.35/196.57 (* end of lemma zenon_L475_ *) % 196.35/196.57 assert (zenon_L476_ : (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> ((op1 (e11) (e13)) = (e12)) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((op1 (e11) (unit1)) = (e11)) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((op1 (unit1) (e12)) = (e12)) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((op1 (e10) (e11)) = (e13)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> ((op1 (e11) (e10)) = (e13)) -> ((op1 (unit1) (e13)) = (e13)) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e10)) = (e10)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> False). % 196.35/196.57 do 0 intro. intros zenon_H1b5 zenon_H17f zenon_H178 zenon_H172 zenon_H11a zenon_H18e zenon_H185 zenon_H186 zenon_H18b zenon_H111 zenon_H173 zenon_H131 zenon_H133 zenon_H192 zenon_H104 zenon_H17e zenon_H1a3 zenon_H19c zenon_H196 zenon_H197 zenon_H1a7 zenon_H105 zenon_H127 zenon_H20f zenon_H20e zenon_H237 zenon_H236 zenon_H13a zenon_H10f zenon_H15b zenon_H120 zenon_H13b zenon_H14b zenon_H143 zenon_H132 zenon_H121 zenon_H14c. % 196.35/196.57 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H177 | zenon_intro zenon_H1b6 ]. % 196.35/196.57 apply (zenon_L140_); trivial. % 196.35/196.57 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H198 | zenon_intro zenon_H1b7 ]. % 196.35/196.57 apply (zenon_L332_); trivial. % 196.35/196.57 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H14d | zenon_intro zenon_H1b1 ]. % 196.35/196.57 apply (zenon_L333_); trivial. % 196.35/196.57 apply (zenon_L334_); trivial. % 196.35/196.57 (* end of lemma zenon_L476_ *) % 196.35/196.57 assert (zenon_L477_ : (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((op1 (e12) (unit1)) = (e12)) -> ((op1 (e12) (e11)) = (e12)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((op1 (unit1) (e10)) = (e10)) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (unit1) (e13)) = (e13)) -> ((op1 (e12) (e11)) = (e13)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (unit1) (e12)) = (e12)) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> False). % 196.35/196.57 do 0 intro. intros zenon_H173 zenon_H1a3 zenon_H186 zenon_H1a4 zenon_H131 zenon_H132 zenon_H133 zenon_H111 zenon_H13a zenon_H21d zenon_H18b zenon_H11a zenon_H127 zenon_H172 zenon_H13b zenon_H10f zenon_H15b zenon_H105 zenon_H120 zenon_H121. % 196.35/196.57 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H110 | zenon_intro zenon_H174 ]. % 196.35/196.57 apply (zenon_L160_); trivial. % 196.35/196.57 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H12b | zenon_intro zenon_H175 ]. % 196.35/196.57 apply (zenon_L116_); trivial. % 196.35/196.57 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H140 | zenon_intro zenon_H15c ]. % 196.35/196.57 apply (zenon_L287_); trivial. % 196.35/196.57 apply (zenon_L133_); trivial. % 196.35/196.57 (* end of lemma zenon_L477_ *) % 196.35/196.57 assert (zenon_L478_ : (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (e12) (unit1)) = (e12)) -> ((op1 (e12) (e12)) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (e11) (e13)) = (e12)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (unit1) (e13)) = (e13)) -> ((op1 (e12) (e11)) = (e13)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (unit1) (e12)) = (e12)) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> False). % 196.35/196.57 do 0 intro. intros zenon_H173 zenon_H143 zenon_H186 zenon_H15a zenon_H17e zenon_H17f zenon_H111 zenon_H13a zenon_H21d zenon_H18b zenon_H11a zenon_H127 zenon_H172 zenon_H13b zenon_H10f zenon_H15b zenon_H105 zenon_H120 zenon_H121. % 196.35/196.57 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H110 | zenon_intro zenon_H174 ]. % 196.35/196.57 apply (zenon_L164_); trivial. % 196.35/196.57 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H12b | zenon_intro zenon_H175 ]. % 196.35/196.57 apply (zenon_L139_); trivial. % 196.35/196.57 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H140 | zenon_intro zenon_H15c ]. % 196.35/196.57 apply (zenon_L287_); trivial. % 196.35/196.57 apply (zenon_L133_); trivial. % 196.35/196.57 (* end of lemma zenon_L478_ *) % 196.35/196.57 assert (zenon_L479_ : (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> ((op1 (e11) (unit1)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((op1 (e11) (e12)) = (e11)) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> ((e10) = (op1 (e11) (e11))) -> ((op1 (unit1) (e10)) = (e10)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((op1 (e12) (e11)) = (e13)) -> ((op1 (e11) (e13)) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (unit1) (e12)) = (e12)) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> False). % 196.35/196.57 do 0 intro. intros zenon_H1a7 zenon_H14b zenon_H14c zenon_H197 zenon_H196 zenon_H198 zenon_H19c zenon_H133 zenon_H132 zenon_H131 zenon_H1a3 zenon_H21d zenon_H17f zenon_H17e zenon_H143 zenon_H173 zenon_H111 zenon_H18b zenon_H186 zenon_H185 zenon_H13a zenon_H18e zenon_H11a zenon_H127 zenon_H172 zenon_H13b zenon_H10f zenon_H15b zenon_H105 zenon_H120 zenon_H121. % 196.35/196.57 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H1a0 | zenon_intro zenon_H1a8 ]. % 196.35/196.57 apply (zenon_L158_); trivial. % 196.35/196.57 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H1a4 | zenon_intro zenon_H1a9 ]. % 196.35/196.57 apply (zenon_L477_); trivial. % 196.35/196.57 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_H15a | zenon_intro zenon_H187 ]. % 196.35/196.57 apply (zenon_L478_); trivial. % 196.35/196.57 apply (zenon_L149_); trivial. % 196.35/196.57 (* end of lemma zenon_L479_ *) % 196.35/196.57 assert (zenon_L480_ : (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((op1 (e12) (e11)) = (e13)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((op1 (e11) (unit1)) = (e11)) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> ((op1 (e12) (e11)) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e11) (e13)) = (e12)) -> ((op1 (unit1) (e12)) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e10)) = (e10)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> False). % 196.35/196.57 do 0 intro. intros zenon_H1b5 zenon_H178 zenon_H104 zenon_H192 zenon_H172 zenon_H11a zenon_H18e zenon_H13a zenon_H185 zenon_H186 zenon_H18b zenon_H111 zenon_H173 zenon_H21d zenon_H1a3 zenon_H131 zenon_H133 zenon_H19c zenon_H196 zenon_H197 zenon_H1a7 zenon_H236 zenon_H23e zenon_H127 zenon_H1f8 zenon_H1f7 zenon_H17f zenon_H105 zenon_H17e zenon_H10f zenon_H15b zenon_H120 zenon_H13b zenon_H14b zenon_H143 zenon_H132 zenon_H121 zenon_H14c. % 196.35/196.57 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H177 | zenon_intro zenon_H1b6 ]. % 196.35/196.57 apply (zenon_L150_); trivial. % 196.35/196.57 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H198 | zenon_intro zenon_H1b7 ]. % 196.35/196.57 apply (zenon_L479_); trivial. % 196.35/196.57 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H14d | zenon_intro zenon_H1b1 ]. % 196.35/196.57 apply (zenon_L338_); trivial. % 196.35/196.57 apply (zenon_L272_); trivial. % 196.35/196.57 (* end of lemma zenon_L480_ *) % 196.35/196.57 assert (zenon_L481_ : (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> ((op1 (e12) (e11)) = (e13)) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> ((op1 (unit1) (e10)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((op1 (e11) (unit1)) = (e11)) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((e12) = (op1 (e13) (e11))) -> ((op1 (unit1) (e12)) = (e12)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (e11) (e13)) = (e12)) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> ((op1 (e11) (e10)) = (e13)) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> False). % 196.35/196.57 do 0 intro. intros zenon_H224 zenon_H1f4 zenon_H1f7 zenon_H21d zenon_H1b5 zenon_H178 zenon_H15b zenon_H13b zenon_H172 zenon_H11a zenon_H18e zenon_H185 zenon_H186 zenon_H111 zenon_H173 zenon_H131 zenon_H133 zenon_H132 zenon_H143 zenon_H192 zenon_H104 zenon_H1a3 zenon_H19c zenon_H196 zenon_H197 zenon_H1a7 zenon_H120 zenon_H105 zenon_H14b zenon_H17e zenon_H17f zenon_H127 zenon_H23e zenon_H10f zenon_H237 zenon_H236 zenon_H13a zenon_H18b zenon_H121 zenon_H14c. % 196.35/196.57 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H226 ]. % 196.35/196.57 apply (zenon_L269_); trivial. % 196.35/196.57 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_H1f8 | zenon_intro zenon_H227 ]. % 196.35/196.57 apply (zenon_L480_); trivial. % 196.35/196.57 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H14d | zenon_intro zenon_H218 ]. % 196.35/196.57 apply (zenon_L338_); trivial. % 196.35/196.57 apply (zenon_L345_); trivial. % 196.35/196.57 (* end of lemma zenon_L481_ *) % 196.35/196.57 assert (zenon_L482_ : (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (e12) (e10)) = (e12)) -> ((op1 (unit1) (e12)) = (e12)) -> ((op1 (unit1) (e13)) = (e13)) -> ((op1 (e13) (e11)) = (e13)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> False). % 196.35/196.57 do 0 intro. intros zenon_H127 zenon_H10f zenon_H111 zenon_H237 zenon_H236 zenon_H143 zenon_H1a0 zenon_H105 zenon_H13a zenon_H12b zenon_H13b. % 196.35/196.57 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H102 | zenon_intro zenon_H128 ]. % 196.35/196.57 apply (zenon_L110_); trivial. % 196.35/196.57 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H10d | zenon_intro zenon_H129 ]. % 196.35/196.57 apply (zenon_L329_); trivial. % 196.35/196.57 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H118 | zenon_intro zenon_H11f ]. % 196.35/196.57 apply (zenon_L156_); trivial. % 196.35/196.57 apply (zenon_L115_); trivial. % 196.35/196.57 (* end of lemma zenon_L482_ *) % 196.35/196.57 assert (zenon_L483_ : (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((e10) = (e13))) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e11) (e13)) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((e12) = (op1 (e13) (e11))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((op1 (e11) (unit1)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((op1 (unit1) (e10)) = (e10)) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> ((op1 (e11) (e10)) = (e13)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (e12) (e10)) = (e12)) -> ((op1 (unit1) (e12)) = (e12)) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> False). % 196.35/196.57 do 0 intro. intros zenon_H223 zenon_H20f zenon_H21a zenon_H14c zenon_H121 zenon_H18b zenon_H23e zenon_H17f zenon_H17e zenon_H14b zenon_H120 zenon_H1a7 zenon_H197 zenon_H196 zenon_H19c zenon_H1a3 zenon_H104 zenon_H192 zenon_H132 zenon_H133 zenon_H131 zenon_H173 zenon_H186 zenon_H185 zenon_H18e zenon_H11a zenon_H172 zenon_H15b zenon_H178 zenon_H1b5 zenon_H1f7 zenon_H1f4 zenon_H224 zenon_H127 zenon_H10f zenon_H111 zenon_H237 zenon_H236 zenon_H143 zenon_H1a0 zenon_H105 zenon_H13a zenon_H13b. % 196.35/196.57 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H20e | zenon_intro zenon_H225 ]. % 196.35/196.57 apply (zenon_L476_); trivial. % 196.35/196.57 apply (zenon_or_s _ _ zenon_H225); [ zenon_intro zenon_H162 | zenon_intro zenon_H228 ]. % 196.35/196.57 apply (zenon_L284_); trivial. % 196.35/196.57 apply (zenon_or_s _ _ zenon_H228); [ zenon_intro zenon_H21d | zenon_intro zenon_H12b ]. % 196.35/196.57 apply (zenon_L481_); trivial. % 196.35/196.57 apply (zenon_L482_); trivial. % 196.35/196.57 (* end of lemma zenon_L483_ *) % 196.35/196.57 assert (zenon_L484_ : (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e13) (e11))) -> ((op1 (unit1) (e12)) = (e12)) -> ((op1 (e13) (unit1)) = (e13)) -> ((op1 (e13) (e10)) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> ((op1 (e11) (unit1)) = (e11)) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((h8 (op1 (e11) (e10))) = (op2 (h8 (e11)) (h8 (e10))))) -> ((op2 (e22) (e20)) = (e22)) -> ((h8 (e11)) = (e22)) -> ((h8 (e10)) = (op2 (e22) (e22))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((op2 (e23) (e22)) = (e21)) -> ((op2 (unit2) (e21)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e20)) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (e21) (unit2)) = (e21)) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> ((op2 (e22) (unit2)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (e23) (unit2)) = (e23)) -> ((unit2) = (e20)) -> False). % 196.35/196.57 do 0 intro. intros zenon_H121 zenon_H120 zenon_H105 zenon_H10f zenon_H110 zenon_H11a zenon_H111 zenon_H237 zenon_H197 zenon_H127 zenon_H196 zenon_H131 zenon_H29c zenon_H38 zenon_H1fd zenon_Hf0 zenon_H2ab zenon_Hdb zenon_H77 zenon_H41 zenon_H55 zenon_H5d zenon_H56 zenon_H29 zenon_Hcf zenon_H49 zenon_Ha4 zenon_H39 zenon_H9e zenon_H54 zenon_H1e. % 196.35/196.57 apply (zenon_or_s _ _ ax13); [ zenon_intro zenon_H90 | zenon_intro zenon_H8f ]. % 196.35/196.57 apply (zenon_L464_); trivial. % 196.35/196.57 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H97 | zenon_intro zenon_H96 ]. % 196.35/196.57 apply (zenon_L97_); trivial. % 196.35/196.57 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H80 | zenon_intro zenon_H89 ]. % 196.35/196.57 apply (zenon_L98_); trivial. % 196.35/196.57 apply (zenon_L92_); trivial. % 196.35/196.57 (* end of lemma zenon_L484_ *) % 196.35/196.57 assert (zenon_L485_ : (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((unit2) = (e20)) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (e22) (unit2)) = (e22)) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> ((op2 (e21) (unit2)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e20)) = (e23)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (unit2) (e21)) = (e21)) -> ((op2 (e23) (e22)) = (e21)) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((h8 (e10)) = (op2 (e22) (e22))) -> ((h8 (e11)) = (e22)) -> ((op2 (e22) (e20)) = (e22)) -> (~((h8 (op1 (e11) (e10))) = (op2 (h8 (e11)) (h8 (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((op1 (e11) (unit1)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (e11) (e13)) = (e12)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (unit1) (e13)) = (e13)) -> ((op1 (e12) (e11)) = (e13)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (unit1) (e12)) = (e12)) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> False). % 196.35/196.57 do 0 intro. intros zenon_H173 zenon_H1e zenon_H54 zenon_H9e zenon_H39 zenon_Ha4 zenon_H49 zenon_Hcf zenon_H29 zenon_H56 zenon_H5d zenon_H55 zenon_H41 zenon_H77 zenon_Hdb zenon_H2ab zenon_Hf0 zenon_H1fd zenon_H38 zenon_H29c zenon_H131 zenon_H196 zenon_H197 zenon_H237 zenon_H17e zenon_H17f zenon_H111 zenon_H13a zenon_H21d zenon_H18b zenon_H11a zenon_H127 zenon_H172 zenon_H13b zenon_H10f zenon_H15b zenon_H105 zenon_H120 zenon_H121. % 196.35/196.57 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H110 | zenon_intro zenon_H174 ]. % 196.35/196.57 apply (zenon_L484_); trivial. % 196.35/196.57 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H12b | zenon_intro zenon_H175 ]. % 196.35/196.57 apply (zenon_L139_); trivial. % 196.35/196.57 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H140 | zenon_intro zenon_H15c ]. % 196.35/196.57 apply (zenon_L287_); trivial. % 196.35/196.57 apply (zenon_L133_); trivial. % 196.35/196.57 (* end of lemma zenon_L485_ *) % 196.35/196.57 assert (zenon_L486_ : (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (e12) (e13)) = (e11)) -> ((op1 (e10) (e11)) = (e13)) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (e11) (e13)) = (e12)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> ((op1 (e12) (e12)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (unit1) (e12)) = (e12)) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> False). % 196.35/196.57 do 0 intro. intros zenon_H173 zenon_H18b zenon_H218 zenon_H20e zenon_H20f zenon_H17e zenon_H17f zenon_H111 zenon_H13a zenon_H14b zenon_H14c zenon_H14d zenon_H11a zenon_H127 zenon_H172 zenon_H13b zenon_H10f zenon_H15b zenon_H105 zenon_H120 zenon_H121. % 196.35/196.57 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H110 | zenon_intro zenon_H174 ]. % 196.35/196.57 apply (zenon_L283_); trivial. % 196.35/196.57 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H12b | zenon_intro zenon_H175 ]. % 196.35/196.57 apply (zenon_L139_); trivial. % 196.35/196.57 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H140 | zenon_intro zenon_H15c ]. % 196.35/196.57 apply (zenon_L191_); trivial. % 196.35/196.57 apply (zenon_L133_); trivial. % 196.35/196.57 (* end of lemma zenon_L486_ *) % 196.35/196.57 assert (zenon_L487_ : (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((unit2) = (e20)) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (e22) (unit2)) = (e22)) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> ((op2 (e21) (unit2)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e20)) = (e23)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (unit2) (e21)) = (e21)) -> ((op2 (e23) (e22)) = (e21)) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((h8 (e10)) = (op2 (e22) (e22))) -> ((h8 (e11)) = (e22)) -> ((op2 (e22) (e20)) = (e22)) -> (~((h8 (op1 (e11) (e10))) = (op2 (h8 (e11)) (h8 (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((op1 (e11) (unit1)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> ((op1 (e13) (e12)) = (e11)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (e11) (e13)) = (e12)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (unit1) (e11)) = (e11)) -> ((op1 (e12) (e13)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (unit1) (e12)) = (e12)) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> False). % 196.35/196.57 do 0 intro. intros zenon_H173 zenon_H1e zenon_H54 zenon_H9e zenon_H39 zenon_Ha4 zenon_H49 zenon_Hcf zenon_H29 zenon_H56 zenon_H5d zenon_H55 zenon_H41 zenon_H77 zenon_Hdb zenon_H2ab zenon_Hf0 zenon_H1fd zenon_H38 zenon_H29c zenon_H131 zenon_H196 zenon_H197 zenon_H237 zenon_H1b1 zenon_H17e zenon_H17f zenon_H111 zenon_H13a zenon_H18b zenon_H14c zenon_H218 zenon_H11a zenon_H127 zenon_H172 zenon_H13b zenon_H10f zenon_H15b zenon_H105 zenon_H120 zenon_H121. % 196.35/196.57 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H110 | zenon_intro zenon_H174 ]. % 196.35/196.57 apply (zenon_L484_); trivial. % 196.35/196.57 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H12b | zenon_intro zenon_H175 ]. % 196.35/196.57 apply (zenon_L172_); trivial. % 196.35/196.57 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H140 | zenon_intro zenon_H15c ]. % 196.35/196.57 apply (zenon_L289_); trivial. % 196.35/196.57 apply (zenon_L133_); trivial. % 196.35/196.57 (* end of lemma zenon_L487_ *) % 196.35/196.57 assert (zenon_L488_ : (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> ((e10) = (op1 (e11) (e11))) -> ((op1 (unit1) (e10)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((op1 (e10) (e11)) = (e13)) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((unit2) = (e20)) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (e22) (unit2)) = (e22)) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> ((op2 (e21) (unit2)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e20)) = (e23)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (unit2) (e21)) = (e21)) -> ((op2 (e23) (e22)) = (e21)) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((h8 (e10)) = (op2 (e22) (e22))) -> ((h8 (e11)) = (e22)) -> ((op2 (e22) (e20)) = (e22)) -> (~((h8 (op1 (e11) (e10))) = (op2 (h8 (e11)) (h8 (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((op1 (e11) (unit1)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (e11) (e13)) = (e12)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (unit1) (e11)) = (e11)) -> ((op1 (e12) (e13)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (unit1) (e12)) = (e12)) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> False). % 196.35/196.57 do 0 intro. intros zenon_H1b5 zenon_H178 zenon_H18e zenon_H185 zenon_H186 zenon_H133 zenon_H132 zenon_H143 zenon_H192 zenon_H104 zenon_H1a3 zenon_H19c zenon_H1a7 zenon_H14b zenon_H20f zenon_H20e zenon_H173 zenon_H1e zenon_H54 zenon_H9e zenon_H39 zenon_Ha4 zenon_H49 zenon_Hcf zenon_H29 zenon_H56 zenon_H5d zenon_H55 zenon_H41 zenon_H77 zenon_Hdb zenon_H2ab zenon_Hf0 zenon_H1fd zenon_H38 zenon_H29c zenon_H131 zenon_H196 zenon_H197 zenon_H237 zenon_H17e zenon_H17f zenon_H111 zenon_H13a zenon_H18b zenon_H14c zenon_H218 zenon_H11a zenon_H127 zenon_H172 zenon_H13b zenon_H10f zenon_H15b zenon_H105 zenon_H120 zenon_H121. % 196.35/196.57 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H177 | zenon_intro zenon_H1b6 ]. % 196.35/196.57 apply (zenon_L343_); trivial. % 196.35/196.57 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H198 | zenon_intro zenon_H1b7 ]. % 196.35/196.57 apply (zenon_L292_); trivial. % 196.35/196.57 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H14d | zenon_intro zenon_H1b1 ]. % 196.35/196.57 apply (zenon_L486_); trivial. % 196.35/196.57 apply (zenon_L487_); trivial. % 196.35/196.57 (* end of lemma zenon_L488_ *) % 196.35/196.57 assert (zenon_L489_ : (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((op1 (e12) (e10)) = (e12)) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e11) (e13)) = (e12)) -> ((unit2) = (e20)) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (e22) (unit2)) = (e22)) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> ((op2 (e21) (unit2)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e20)) = (e23)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (unit2) (e21)) = (e21)) -> ((op2 (e23) (e22)) = (e21)) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((h8 (e10)) = (op2 (e22) (e22))) -> ((h8 (e11)) = (e22)) -> ((op2 (e22) (e20)) = (e22)) -> (~((h8 (op1 (e11) (e10))) = (op2 (h8 (e11)) (h8 (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((e10) = (e13))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((op1 (e11) (unit1)) = (e11)) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e10)) = (e10)) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (unit1) (e12)) = (e12)) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> False). % 196.44/196.58 do 0 intro. intros zenon_H26a zenon_H1a0 zenon_H23e zenon_H17f zenon_H1e zenon_H54 zenon_H9e zenon_H39 zenon_Ha4 zenon_H49 zenon_Hcf zenon_H29 zenon_H56 zenon_H5d zenon_H55 zenon_H41 zenon_H77 zenon_Hdb zenon_H2ab zenon_Hf0 zenon_H1fd zenon_H38 zenon_H29c zenon_H237 zenon_H21a zenon_H224 zenon_H1f4 zenon_H1f7 zenon_H261 zenon_H25e zenon_H259 zenon_H264 zenon_H20f zenon_H223 zenon_H1b5 zenon_H178 zenon_H19c zenon_H196 zenon_H197 zenon_H1a7 zenon_H267 zenon_H1a3 zenon_H17e zenon_H104 zenon_H192 zenon_H14b zenon_H14c zenon_H143 zenon_H132 zenon_H133 zenon_H131 zenon_H173 zenon_H111 zenon_H18b zenon_H186 zenon_H185 zenon_H13a zenon_H18e zenon_H11a zenon_H127 zenon_H172 zenon_H13b zenon_H10f zenon_H15b zenon_H105 zenon_H120 zenon_H121. % 196.44/196.58 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H236 | zenon_intro zenon_H26b ]. % 196.44/196.58 apply (zenon_L483_); trivial. % 196.44/196.58 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H162 | zenon_intro zenon_H26c ]. % 196.44/196.58 apply (zenon_L284_); trivial. % 196.44/196.58 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H25f | zenon_intro zenon_H268 ]. % 196.44/196.58 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H20e | zenon_intro zenon_H225 ]. % 196.44/196.58 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H226 ]. % 196.44/196.58 apply (zenon_L269_); trivial. % 196.44/196.58 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_H1f8 | zenon_intro zenon_H227 ]. % 196.44/196.58 apply (zenon_L349_); trivial. % 196.44/196.58 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H14d | zenon_intro zenon_H218 ]. % 196.44/196.58 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H256 | zenon_intro zenon_H265 ]. % 196.44/196.58 apply (zenon_L364_); trivial. % 196.44/196.58 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H21d | zenon_intro zenon_H266 ]. % 196.44/196.58 apply (zenon_L485_); trivial. % 196.44/196.58 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H163 | zenon_intro zenon_H262 ]. % 196.44/196.58 apply (zenon_L367_); trivial. % 196.44/196.58 apply (zenon_L369_); trivial. % 196.44/196.58 apply (zenon_L488_); trivial. % 196.44/196.58 apply (zenon_or_s _ _ zenon_H225); [ zenon_intro zenon_H162 | zenon_intro zenon_H228 ]. % 196.44/196.58 apply (zenon_L284_); trivial. % 196.44/196.58 apply (zenon_or_s _ _ zenon_H228); [ zenon_intro zenon_H21d | zenon_intro zenon_H12b ]. % 196.44/196.58 apply (zenon_L485_); trivial. % 196.44/196.58 apply (zenon_L139_); trivial. % 196.44/196.58 apply (zenon_L397_); trivial. % 196.44/196.58 (* end of lemma zenon_L489_ *) % 196.44/196.58 assert (zenon_L490_ : (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> ((op1 (unit1) (e10)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((op1 (e11) (unit1)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((e10) = (e13))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((h8 (op1 (e11) (e10))) = (op2 (h8 (e11)) (h8 (e10))))) -> ((op2 (e22) (e20)) = (e22)) -> ((h8 (e11)) = (e22)) -> ((h8 (e10)) = (op2 (e22) (e22))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((op2 (e23) (e22)) = (e21)) -> ((op2 (unit2) (e21)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e20)) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (e21) (unit2)) = (e21)) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> ((op2 (e22) (unit2)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (e23) (unit2)) = (e23)) -> ((unit2) = (e20)) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e12) (e10)) = (e12)) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (unit1) (e12)) = (e12)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> False). % 196.44/196.58 do 0 intro. intros zenon_H131 zenon_H133 zenon_H132 zenon_H143 zenon_H14c zenon_H14b zenon_H192 zenon_H104 zenon_H17e zenon_H1a3 zenon_H267 zenon_H1a7 zenon_H197 zenon_H196 zenon_H19c zenon_H178 zenon_H1b5 zenon_H223 zenon_H20f zenon_H264 zenon_H259 zenon_H25e zenon_H261 zenon_H1f7 zenon_H1f4 zenon_H224 zenon_H21a zenon_H237 zenon_H29c zenon_H38 zenon_H1fd zenon_Hf0 zenon_H2ab zenon_Hdb zenon_H77 zenon_H41 zenon_H55 zenon_H5d zenon_H56 zenon_H29 zenon_Hcf zenon_H49 zenon_Ha4 zenon_H39 zenon_H9e zenon_H54 zenon_H1e zenon_H23e zenon_H1a0 zenon_H26a zenon_H121 zenon_H105 zenon_H15b zenon_H10f zenon_H172 zenon_H127 zenon_H11a zenon_H18e zenon_H13a zenon_H185 zenon_H186 zenon_H18b zenon_H111 zenon_H173 zenon_H120 zenon_H13b. % 196.44/196.58 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H106 | zenon_intro zenon_H193 ]. % 196.44/196.58 apply (zenon_L134_); trivial. % 196.44/196.58 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H17f | zenon_intro zenon_H194 ]. % 196.44/196.58 apply (zenon_L489_); trivial. % 196.44/196.58 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H187 | zenon_intro zenon_H152 ]. % 196.44/196.58 apply (zenon_L149_); trivial. % 196.44/196.58 apply (zenon_L124_); trivial. % 196.44/196.58 (* end of lemma zenon_L490_ *) % 196.44/196.58 assert (zenon_L491_ : (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((unit2) = (e20)) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (e22) (unit2)) = (e22)) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> ((op2 (e21) (unit2)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e20)) = (e23)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (unit2) (e21)) = (e21)) -> ((op2 (e23) (e22)) = (e21)) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((h8 (e10)) = (op2 (e22) (e22))) -> ((h8 (e11)) = (e22)) -> ((op2 (e22) (e20)) = (e22)) -> (~((h8 (op1 (e11) (e10))) = (op2 (h8 (e11)) (h8 (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((e10) = (e13))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((op1 (e11) (unit1)) = (e11)) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e10)) = (e10)) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (unit1) (e12)) = (e12)) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> False). % 196.44/196.58 do 0 intro. intros zenon_H26a zenon_H23e zenon_H1e zenon_H54 zenon_H9e zenon_H39 zenon_Ha4 zenon_H49 zenon_Hcf zenon_H29 zenon_H56 zenon_H5d zenon_H55 zenon_H41 zenon_H77 zenon_Hdb zenon_H2ab zenon_Hf0 zenon_H1fd zenon_H38 zenon_H29c zenon_H237 zenon_H21a zenon_H224 zenon_H1f4 zenon_H1f7 zenon_H261 zenon_H25e zenon_H259 zenon_H264 zenon_H20f zenon_H223 zenon_H1b5 zenon_H178 zenon_H19c zenon_H196 zenon_H197 zenon_H1a7 zenon_H267 zenon_H1a3 zenon_H17e zenon_H104 zenon_H192 zenon_H14b zenon_H14c zenon_H143 zenon_H132 zenon_H133 zenon_H131 zenon_H173 zenon_H111 zenon_H18b zenon_H186 zenon_H185 zenon_H13a zenon_H18e zenon_H11a zenon_H127 zenon_H172 zenon_H13b zenon_H10f zenon_H15b zenon_H105 zenon_H120 zenon_H121. % 196.44/196.58 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H1a0 | zenon_intro zenon_H1a8 ]. % 196.44/196.58 apply (zenon_L490_); trivial. % 196.44/196.58 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H1a4 | zenon_intro zenon_H1a9 ]. % 196.44/196.58 apply (zenon_L162_); trivial. % 196.44/196.58 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_H15a | zenon_intro zenon_H187 ]. % 196.44/196.58 apply (zenon_L165_); trivial. % 196.44/196.58 apply (zenon_L149_); trivial. % 196.44/196.58 (* end of lemma zenon_L491_ *) % 196.44/196.58 assert (zenon_L492_ : (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e13) (e11))) -> ((op1 (unit1) (e12)) = (e12)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> ((op1 (unit1) (e10)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((op1 (e11) (unit1)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((e10) = (e13))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((h8 (op1 (e11) (e10))) = (op2 (h8 (e11)) (h8 (e10))))) -> ((op2 (e22) (e20)) = (e22)) -> ((h8 (e11)) = (e22)) -> ((h8 (e10)) = (op2 (e22) (e22))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (e21) (unit2)) = (e21)) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> ((op2 (e22) (unit2)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e20)) = (e23)) -> ((op2 (e23) (unit2)) = (e23)) -> ((op2 (e22) (e23)) = (e21)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (unit2) (e21)) = (e21)) -> ((op2 (e23) (e22)) = (e21)) -> False). % 196.44/196.58 do 0 intro. intros zenon_H121 zenon_H120 zenon_H105 zenon_H15b zenon_H10f zenon_H13b zenon_H172 zenon_H127 zenon_H11a zenon_H18e zenon_H13a zenon_H185 zenon_H186 zenon_H18b zenon_H111 zenon_H173 zenon_H131 zenon_H133 zenon_H132 zenon_H143 zenon_H14c zenon_H14b zenon_H192 zenon_H104 zenon_H17e zenon_H1a3 zenon_H267 zenon_H1a7 zenon_H197 zenon_H196 zenon_H19c zenon_H178 zenon_H1b5 zenon_H223 zenon_H20f zenon_H264 zenon_H259 zenon_H25e zenon_H261 zenon_H1f7 zenon_H1f4 zenon_H224 zenon_H21a zenon_H237 zenon_H29c zenon_H38 zenon_H1fd zenon_Hf0 zenon_H2ab zenon_H5d zenon_H29 zenon_Hcf zenon_H49 zenon_Ha4 zenon_H39 zenon_H9e zenon_H23e zenon_H26a zenon_H56 zenon_H55 zenon_H54 zenon_H1dc zenon_Hb3 zenon_H41 zenon_H77 zenon_Hdb. % 196.44/196.58 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H1e | zenon_intro zenon_H4a ]. % 196.44/196.58 apply (zenon_L491_); trivial. % 196.44/196.58 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2b | zenon_intro zenon_H4b ]. % 196.44/196.58 apply (zenon_L14_); trivial. % 196.44/196.58 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H3f ]. % 196.44/196.58 apply (zenon_L212_); trivial. % 196.44/196.58 apply (zenon_L82_); trivial. % 196.44/196.58 (* end of lemma zenon_L492_ *) % 196.44/196.58 assert (zenon_L493_ : (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((op2 (e22) (e23)) = (e21)) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (e22) (unit2)) = (e22)) -> ((op2 (e21) (unit2)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((h8 (e10)) = (op2 (e22) (e22))) -> ((h8 (e11)) = (e22)) -> ((op2 (e22) (e20)) = (e22)) -> (~((h8 (op1 (e11) (e10))) = (op2 (h8 (e11)) (h8 (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((e10) = (e13))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((op1 (e11) (unit1)) = (e11)) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e10)) = (e10)) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (unit1) (e12)) = (e12)) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op2 (e23) (e22)) = (e21)) -> ((op2 (unit2) (e21)) = (e21)) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> ((op2 (e21) (e23)) = (e22)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (unit2) (e23)) = (e23)) -> ((op2 (e22) (e21)) = (e23)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((op2 (unit2) (e22)) = (e22)) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> False). % 196.44/196.58 do 0 intro. intros zenon_H9f zenon_H1dc zenon_H26a zenon_H23e zenon_H39 zenon_Ha4 zenon_Hcf zenon_H29 zenon_H2ab zenon_Hf0 zenon_H1fd zenon_H38 zenon_H29c zenon_H237 zenon_H21a zenon_H224 zenon_H1f4 zenon_H1f7 zenon_H261 zenon_H25e zenon_H259 zenon_H264 zenon_H20f zenon_H223 zenon_H1b5 zenon_H178 zenon_H19c zenon_H196 zenon_H197 zenon_H1a7 zenon_H267 zenon_H1a3 zenon_H17e zenon_H104 zenon_H192 zenon_H14b zenon_H14c zenon_H143 zenon_H132 zenon_H133 zenon_H131 zenon_H173 zenon_H111 zenon_H18b zenon_H186 zenon_H185 zenon_H13a zenon_H18e zenon_H11a zenon_H127 zenon_H172 zenon_H13b zenon_H10f zenon_H15b zenon_H105 zenon_H120 zenon_H121 zenon_Hdb zenon_H77 zenon_Ha9 zenon_Haa zenon_H56 zenon_H20 zenon_Hc7 zenon_Hb3 zenon_H5d zenon_H49 zenon_H9e zenon_H67 zenon_H54 zenon_H86 zenon_H37 zenon_H40 zenon_H41. % 196.44/196.58 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H55 | zenon_intro zenon_Ha0 ]. % 196.44/196.58 apply (zenon_L492_); trivial. % 196.44/196.58 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_H61 | zenon_intro zenon_Ha1 ]. % 196.44/196.58 apply (zenon_L225_); trivial. % 196.44/196.58 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H6c | zenon_intro zenon_H87 ]. % 196.44/196.58 apply (zenon_L70_); trivial. % 196.44/196.58 apply (zenon_L40_); trivial. % 196.44/196.58 (* end of lemma zenon_L493_ *) % 196.44/196.58 assert (zenon_L494_ : (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> ((e20) = (op2 (e21) (e21))) -> ((op2 (unit2) (e20)) = (e20)) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> ((op2 (e22) (e21)) = (e23)) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> ((op2 (unit2) (e21)) = (e21)) -> ((op2 (e23) (e22)) = (e21)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e13) (e11))) -> ((op1 (unit1) (e12)) = (e12)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> ((op1 (unit1) (e10)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((op1 (e11) (unit1)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((e10) = (e13))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((h8 (op1 (e11) (e10))) = (op2 (h8 (e11)) (h8 (e10))))) -> ((op2 (e22) (e20)) = (e22)) -> ((h8 (e11)) = (e22)) -> ((h8 (e10)) = (op2 (e22) (e22))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (e21) (unit2)) = (e21)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((op2 (e22) (e23)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (unit2) (e22)) = (e22)) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((op2 (unit2) (e23)) = (e23)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e22) (unit2)) = (e22)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> False). % 196.44/196.58 do 0 intro. intros zenon_Hb6 zenon_H2c zenon_H2a zenon_H4d zenon_Hc7 zenon_Ha9 zenon_H77 zenon_Hdb zenon_H121 zenon_H120 zenon_H105 zenon_H15b zenon_H10f zenon_H13b zenon_H172 zenon_H127 zenon_H11a zenon_H18e zenon_H13a zenon_H185 zenon_H186 zenon_H18b zenon_H111 zenon_H173 zenon_H131 zenon_H133 zenon_H132 zenon_H143 zenon_H14c zenon_H14b zenon_H192 zenon_H104 zenon_H17e zenon_H1a3 zenon_H267 zenon_H1a7 zenon_H197 zenon_H196 zenon_H19c zenon_H178 zenon_H1b5 zenon_H223 zenon_H20f zenon_H264 zenon_H259 zenon_H25e zenon_H261 zenon_H1f7 zenon_H1f4 zenon_H224 zenon_H21a zenon_H237 zenon_H29c zenon_H38 zenon_H1fd zenon_Hf0 zenon_H2ab zenon_H29 zenon_Hcf zenon_H39 zenon_H23e zenon_H26a zenon_H1dc zenon_H41 zenon_H37 zenon_H86 zenon_H54 zenon_H9e zenon_H49 zenon_H5d zenon_Hb5 zenon_H20 zenon_Haf zenon_Ha4 zenon_Hb3 zenon_H56 zenon_H9f zenon_H40 zenon_H67. % 196.44/196.58 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_H4e | zenon_intro zenon_Hb7 ]. % 196.44/196.58 apply (zenon_L214_); trivial. % 196.44/196.58 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_Haa | zenon_intro zenon_Hb8 ]. % 196.44/196.58 apply (zenon_L493_); trivial. % 196.44/196.58 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H7d ]. % 196.44/196.58 apply (zenon_L55_); trivial. % 196.44/196.58 apply (zenon_L31_); trivial. % 196.44/196.58 (* end of lemma zenon_L494_ *) % 196.44/196.58 assert (zenon_L495_ : (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((op2 (e21) (unit2)) = (e21)) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((h8 (e10)) = (op2 (e22) (e22))) -> ((h8 (e11)) = (e22)) -> (~((h8 (op1 (e11) (e10))) = (op2 (h8 (e11)) (h8 (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((e10) = (e13))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((op1 (e11) (unit1)) = (e11)) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e10)) = (e10)) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (unit1) (e12)) = (e12)) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op2 (e22) (e21)) = (e23)) -> ((op2 (e22) (e23)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((op2 (e23) (e22)) = (e21)) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> ((op2 (unit2) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e21)) = (e21)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((op2 (e22) (unit2)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (unit2) (e23)) = (e23)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((op2 (unit2) (e22)) = (e22)) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> False). % 196.44/196.58 do 0 intro. intros zenon_Hba zenon_H26a zenon_H23e zenon_Hcf zenon_H2ab zenon_Hf0 zenon_H1fd zenon_H29c zenon_H237 zenon_H21a zenon_H224 zenon_H1f4 zenon_H1f7 zenon_H261 zenon_H25e zenon_H259 zenon_H264 zenon_H20f zenon_H223 zenon_H1b5 zenon_H178 zenon_H19c zenon_H196 zenon_H197 zenon_H1a7 zenon_H267 zenon_H1a3 zenon_H17e zenon_H104 zenon_H192 zenon_H14b zenon_H14c zenon_H143 zenon_H132 zenon_H133 zenon_H131 zenon_H173 zenon_H111 zenon_H18b zenon_H186 zenon_H185 zenon_H13a zenon_H18e zenon_H11a zenon_H127 zenon_H172 zenon_H13b zenon_H10f zenon_H15b zenon_H105 zenon_H120 zenon_H121 zenon_Hc7 zenon_H1dc zenon_H29 zenon_H2c zenon_Ha3 zenon_Hdb zenon_Ha9 zenon_H2a zenon_H39 zenon_H77 zenon_H76 zenon_H4d zenon_Hb6 zenon_H9f zenon_H56 zenon_Hb3 zenon_Ha4 zenon_Haf zenon_H20 zenon_Hb5 zenon_H5d zenon_H49 zenon_H9e zenon_H67 zenon_H54 zenon_H86 zenon_H37 zenon_H40 zenon_H41. % 196.44/196.58 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H38 | zenon_intro zenon_Hbb ]. % 196.44/196.58 apply (zenon_L494_); trivial. % 196.44/196.58 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_Ha5 | zenon_intro zenon_Hbc ]. % 196.44/196.58 apply (zenon_L253_); trivial. % 196.44/196.58 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H85 | zenon_intro zenon_Hb0 ]. % 196.44/196.58 apply (zenon_L227_); trivial. % 196.44/196.58 apply (zenon_L55_); trivial. % 196.44/196.58 (* end of lemma zenon_L495_ *) % 196.44/196.58 assert (zenon_L496_ : (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> ((op2 (e21) (unit2)) = (e21)) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((h8 (e10)) = (op2 (e22) (e22))) -> ((h8 (e11)) = (e22)) -> (~((h8 (op1 (e11) (e10))) = (op2 (h8 (e11)) (h8 (e10))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((e10) = (e13))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((op1 (e11) (unit1)) = (e11)) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e10)) = (e10)) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (unit1) (e12)) = (e12)) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op2 (e22) (e21)) = (e23)) -> ((op2 (e22) (e23)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> ((op2 (unit2) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e21)) = (e21)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((op2 (e22) (unit2)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (unit2) (e23)) = (e23)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((op2 (unit2) (e22)) = (e22)) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> False). % 196.44/196.58 do 0 intro. intros zenon_Hdf zenon_Hc1 zenon_Hd4 zenon_Hce zenon_Hba zenon_H26a zenon_H23e zenon_Hcf zenon_H2ab zenon_Hf0 zenon_H1fd zenon_H29c zenon_H237 zenon_H21a zenon_H224 zenon_H1f4 zenon_H1f7 zenon_H261 zenon_H25e zenon_H259 zenon_H264 zenon_H20f zenon_H223 zenon_H1b5 zenon_H178 zenon_H19c zenon_H196 zenon_H197 zenon_H1a7 zenon_H267 zenon_H1a3 zenon_H17e zenon_H104 zenon_H192 zenon_H14b zenon_H14c zenon_H143 zenon_H132 zenon_H133 zenon_H131 zenon_H173 zenon_H111 zenon_H18b zenon_H186 zenon_H185 zenon_H13a zenon_H18e zenon_H11a zenon_H127 zenon_H172 zenon_H13b zenon_H10f zenon_H15b zenon_H105 zenon_H120 zenon_H121 zenon_Hc7 zenon_H1dc zenon_H29 zenon_H2c zenon_Ha3 zenon_Ha9 zenon_H2a zenon_H39 zenon_H77 zenon_H76 zenon_H4d zenon_Hb6 zenon_H9f zenon_H56 zenon_Hb3 zenon_Ha4 zenon_Haf zenon_H20 zenon_Hb5 zenon_H5d zenon_H49 zenon_H9e zenon_H67 zenon_H54 zenon_H86 zenon_H37 zenon_H40 zenon_H41. % 196.44/196.58 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_Hc0 | zenon_intro zenon_He0 ]. % 196.44/196.58 apply (zenon_L218_); trivial. % 196.44/196.58 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hd0 | zenon_intro zenon_He1 ]. % 196.44/196.58 apply (zenon_L79_); trivial. % 196.44/196.58 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_H78 | zenon_intro zenon_Hdb ]. % 196.44/196.58 apply (zenon_L474_); trivial. % 196.44/196.58 apply (zenon_L495_); trivial. % 196.44/196.58 (* end of lemma zenon_L496_ *) % 196.44/196.58 assert (zenon_L497_ : (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((e20) = (e23))) -> ((e22) = (op2 (e23) (e21))) -> ((op2 (unit2) (e22)) = (e22)) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e22) (unit2)) = (e22)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e21)) = (e21)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e13) (e11))) -> ((op1 (unit1) (e12)) = (e12)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> ((op1 (unit1) (e10)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((op1 (e11) (unit1)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((e10) = (e13))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((h8 (op1 (e11) (e10))) = (op2 (h8 (e11)) (h8 (e10))))) -> ((h8 (e11)) = (e22)) -> ((h8 (e10)) = (op2 (e22) (e22))) -> (((op1 (e11) (e10)) = (e11))\/(((op1 (e11) (e11)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/((op1 (e11) (e13)) = (e11))))) -> ((op2 (e21) (unit2)) = (e21)) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> ((op2 (unit2) (e20)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e23) (unit2)) = (e23)) -> ((op2 (unit2) (e23)) = (e23)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> False). % 196.44/196.58 do 0 intro. intros zenon_H1ca zenon_H22 zenon_Hbd zenon_H40 zenon_H37 zenon_H86 zenon_H9e zenon_H5d zenon_Hb5 zenon_Haf zenon_Ha4 zenon_Hb3 zenon_H9f zenon_Hb6 zenon_H4d zenon_H76 zenon_H77 zenon_H39 zenon_Ha9 zenon_Ha3 zenon_H121 zenon_H120 zenon_H105 zenon_H15b zenon_H10f zenon_H13b zenon_H172 zenon_H127 zenon_H11a zenon_H18e zenon_H13a zenon_H185 zenon_H186 zenon_H18b zenon_H111 zenon_H173 zenon_H131 zenon_H133 zenon_H132 zenon_H143 zenon_H14c zenon_H14b zenon_H192 zenon_H104 zenon_H17e zenon_H1a3 zenon_H267 zenon_H1a7 zenon_H197 zenon_H196 zenon_H19c zenon_H178 zenon_H1b5 zenon_H223 zenon_H20f zenon_H264 zenon_H259 zenon_H25e zenon_H261 zenon_H1f7 zenon_H1f4 zenon_H224 zenon_H21a zenon_H237 zenon_H29c zenon_H1fd zenon_Hf0 zenon_H2ab zenon_Hcf zenon_H23e zenon_H26a zenon_Hba zenon_Hce zenon_Hd4 zenon_Hc1 zenon_Hdf zenon_H1d9 zenon_H1cd zenon_H1d4 zenon_H1d1 zenon_Hd8 zenon_H1de zenon_H49 zenon_H56 zenon_H2c zenon_H2a zenon_H29 zenon_H41 zenon_H54 zenon_H20 zenon_H67. % 196.44/196.58 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H21 | zenon_intro zenon_H1cb ]. % 196.44/196.58 apply (zenon_L64_); trivial. % 196.44/196.58 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H8d | zenon_intro zenon_H1cc ]. % 196.44/196.58 apply (zenon_L65_); trivial. % 196.44/196.58 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H61 ]. % 196.44/196.58 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_Hd9 | zenon_intro zenon_H1df ]. % 196.44/196.58 apply (zenon_L324_); trivial. % 196.44/196.58 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H1ce | zenon_intro zenon_H1e0 ]. % 196.44/196.58 apply (zenon_L475_); trivial. % 196.44/196.58 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H78 | zenon_intro zenon_H1dc ]. % 196.44/196.58 apply (zenon_L474_); trivial. % 196.44/196.58 apply (zenon_L496_); trivial. % 196.44/196.58 apply (zenon_L23_); trivial. % 196.44/196.58 (* end of lemma zenon_L497_ *) % 196.44/196.58 assert (zenon_L498_ : (~((h8 (op1 (e11) (e11))) = (op2 (h8 (e11)) (h8 (e11))))) -> ((h8 (e10)) = (op2 (e22) (e22))) -> ((e10) = (op1 (e11) (e11))) -> ((h8 (e11)) = (e22)) -> False). % 196.44/196.58 do 0 intro. intros zenon_H2ae zenon_Hf0 zenon_H133 zenon_H1fd. % 196.44/196.58 cut (((h8 (e10)) = (op2 (e22) (e22))) = ((h8 (op1 (e11) (e11))) = (op2 (h8 (e11)) (h8 (e11))))). % 196.44/196.58 intro zenon_D_pnotp. % 196.44/196.58 apply zenon_H2ae. % 196.44/196.58 rewrite <- zenon_D_pnotp. % 196.44/196.58 exact zenon_Hf0. % 196.44/196.58 cut (((op2 (e22) (e22)) = (op2 (h8 (e11)) (h8 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H2af]. % 196.44/196.58 cut (((h8 (e10)) = (h8 (op1 (e11) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H2b0]. % 196.44/196.58 congruence. % 196.44/196.58 elim (classic ((h8 (op1 (e11) (e11))) = (h8 (op1 (e11) (e11))))); [ zenon_intro zenon_H2b1 | zenon_intro zenon_H2b2 ]. % 196.44/196.58 cut (((h8 (op1 (e11) (e11))) = (h8 (op1 (e11) (e11)))) = ((h8 (e10)) = (h8 (op1 (e11) (e11))))). % 196.44/196.58 intro zenon_D_pnotp. % 196.44/196.58 apply zenon_H2b0. % 196.44/196.58 rewrite <- zenon_D_pnotp. % 196.44/196.58 exact zenon_H2b1. % 196.44/196.58 cut (((h8 (op1 (e11) (e11))) = (h8 (op1 (e11) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H2b2]. % 196.44/196.58 cut (((h8 (op1 (e11) (e11))) = (h8 (e10)))); [idtac | apply NNPP; zenon_intro zenon_H2b3]. % 196.44/196.58 congruence. % 196.44/196.58 cut (((op1 (e11) (e11)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H2b4]. % 196.44/196.58 congruence. % 196.44/196.58 apply zenon_H2b4. apply sym_equal. exact zenon_H133. % 196.44/196.58 apply zenon_H2b2. apply refl_equal. % 196.44/196.58 apply zenon_H2b2. apply refl_equal. % 196.44/196.58 cut (((e22) = (h8 (e11)))); [idtac | apply NNPP; zenon_intro zenon_H2b5]. % 196.44/196.58 cut (((e22) = (h8 (e11)))); [idtac | apply NNPP; zenon_intro zenon_H2b5]. % 196.44/196.58 congruence. % 196.44/196.58 apply zenon_H2b5. apply sym_equal. exact zenon_H1fd. % 196.44/196.58 apply zenon_H2b5. apply sym_equal. exact zenon_H1fd. % 196.44/196.58 (* end of lemma zenon_L498_ *) % 196.44/196.58 assert (zenon_L499_ : ((op2 (e22) (e23)) = (e20)) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e21) (unit2)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (e23) (unit2)) = (e23)) -> ((unit2) = (e20)) -> False). % 196.44/196.58 do 0 intro. intros zenon_H2b6 zenon_H2b7 zenon_Hcf zenon_H29 zenon_H67 zenon_H40 zenon_H9e zenon_H54 zenon_H1e. % 196.44/196.58 apply (zenon_or_s _ _ ax13); [ zenon_intro zenon_H90 | zenon_intro zenon_H8f ]. % 196.44/196.58 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H92. zenon_intro zenon_H91. % 196.44/196.58 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H94. zenon_intro zenon_H93. % 196.44/196.58 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_H6f. zenon_intro zenon_H95. % 196.44/196.58 cut (((op2 (e22) (e23)) = (e20)) = ((op2 (e22) (e23)) = (op2 (e23) (e23)))). % 196.44/196.58 intro zenon_D_pnotp. % 196.44/196.58 apply zenon_H2b7. % 196.44/196.58 rewrite <- zenon_D_pnotp. % 196.44/196.58 exact zenon_H2b6. % 196.44/196.58 cut (((e20) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H2b8]. % 196.44/196.58 cut (((op2 (e22) (e23)) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_Hc9]. % 196.44/196.58 congruence. % 196.44/196.58 apply zenon_Hc9. apply refl_equal. % 196.44/196.58 apply zenon_H2b8. apply sym_equal. exact zenon_H95. % 196.44/196.58 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H97 | zenon_intro zenon_H96 ]. % 196.44/196.58 apply (zenon_L91_); trivial. % 196.44/196.58 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H80 | zenon_intro zenon_H89 ]. % 196.44/196.58 apply (zenon_L32_); trivial. % 196.44/196.58 apply (zenon_L92_); trivial. % 196.44/196.58 (* end of lemma zenon_L499_ *) % 196.44/196.58 assert (zenon_L500_ : (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e21) (unit2)) = (e21)) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> ((op2 (e22) (e23)) = (e20)) -> ((e20) = (op2 (e21) (e21))) -> ((op2 (unit2) (e20)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (e22) (e22)) = (e21)) -> ((op2 (unit2) (e21)) = (e21)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e22)) = (e22)) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> False). % 196.44/196.58 do 0 intro. intros zenon_H49 zenon_H54 zenon_H9e zenon_H67 zenon_Hcf zenon_H2b7 zenon_H2b6 zenon_H2c zenon_H2a zenon_H29 zenon_H78 zenon_H77 zenon_H76 zenon_H37 zenon_H40 zenon_H41. % 196.44/196.58 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H1e | zenon_intro zenon_H4a ]. % 196.44/196.58 apply (zenon_L499_); trivial. % 196.44/196.58 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2b | zenon_intro zenon_H4b ]. % 196.44/196.58 apply (zenon_L5_); trivial. % 196.44/196.58 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H3f ]. % 196.44/196.58 apply (zenon_L30_); trivial. % 196.44/196.58 apply (zenon_L9_); trivial. % 196.44/196.58 (* end of lemma zenon_L500_ *) % 196.44/196.58 assert (zenon_L501_ : (~((h8 (op1 (e11) (e12))) = (h8 (e13)))) -> ((op1 (e11) (e12)) = (e13)) -> False). % 196.44/196.58 do 0 intro. intros zenon_H2b9 zenon_H25f. % 196.44/196.58 cut (((op1 (e11) (e12)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H2ba]. % 196.44/196.58 congruence. % 196.44/196.58 exact (zenon_H2ba zenon_H25f). % 196.44/196.58 (* end of lemma zenon_L501_ *) % 196.44/196.58 assert (zenon_L502_ : (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((e20) = (e23))) -> ((op2 (unit2) (e21)) = (e21)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((op2 (e21) (e20)) = (e23)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((op2 (unit2) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (e23) (e21))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> ((op2 (e21) (unit2)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> ((op2 (e22) (unit2)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e22) (e20)) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e21) (e23)) = (e22)) -> ((op2 (unit2) (e22)) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e23) (unit2)) = (e23)) -> ((op2 (unit2) (e23)) = (e23)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> False). % 196.44/196.58 do 0 intro. intros zenon_H1ca zenon_H22 zenon_Hbd zenon_H77 zenon_Hb3 zenon_H22c zenon_H22d zenon_H234 zenon_H9f zenon_H2a zenon_H39 zenon_H76 zenon_H5d zenon_H9e zenon_H86 zenon_H40 zenon_Hba zenon_Hcf zenon_Hce zenon_Hd4 zenon_Ha3 zenon_H29 zenon_H2c zenon_H4d zenon_Hb6 zenon_Ha4 zenon_Haf zenon_Hb5 zenon_Hc1 zenon_Hdf zenon_H1d1 zenon_H38 zenon_H1d4 zenon_H1cd zenon_H1d9 zenon_Hd8 zenon_H1de zenon_H49 zenon_H56 zenon_Haa zenon_H37 zenon_Ha9 zenon_H41 zenon_H54 zenon_H20 zenon_H67. % 196.44/196.58 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H21 | zenon_intro zenon_H1cb ]. % 196.44/196.58 apply (zenon_L64_); trivial. % 196.44/196.58 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H8d | zenon_intro zenon_H1cc ]. % 196.44/196.58 apply (zenon_L65_); trivial. % 196.44/196.58 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H61 ]. % 196.44/196.58 apply (zenon_L320_); trivial. % 196.44/196.58 apply (zenon_L47_); trivial. % 196.44/196.58 (* end of lemma zenon_L502_ *) % 196.44/196.58 assert (zenon_L503_ : (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> ((op2 (e22) (e20)) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((e20) = (e23))) -> ((h8 (e12)) = (op2 (e21) (e22))) -> (~((h8 (e12)) = (e23))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((op2 (e21) (unit2)) = (e21)) -> ((op2 (e23) (e20)) = (e23)) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> ((op2 (e21) (e23)) = (e22)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> ((op2 (unit2) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e21)) = (e21)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((op2 (e22) (unit2)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (unit2) (e23)) = (e23)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((op2 (unit2) (e22)) = (e22)) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> False). % 196.44/196.58 do 0 intro. intros zenon_H248 zenon_H1de zenon_Hd8 zenon_H1d9 zenon_H1cd zenon_H38 zenon_H1d1 zenon_Hd4 zenon_H234 zenon_H22d zenon_H22 zenon_H1ca zenon_Hbd zenon_H244 zenon_H243 zenon_Hdf zenon_Hc1 zenon_Hce zenon_Hcf zenon_H55 zenon_Hba zenon_Haa zenon_H1d4 zenon_Ha3 zenon_H29 zenon_H2c zenon_Ha9 zenon_H2a zenon_H39 zenon_H77 zenon_H76 zenon_H4d zenon_Hb6 zenon_H9f zenon_H56 zenon_Hb3 zenon_Ha4 zenon_Haf zenon_H20 zenon_Hb5 zenon_H5d zenon_H49 zenon_H9e zenon_H67 zenon_H54 zenon_H86 zenon_H37 zenon_H40 zenon_H41. % 196.44/196.58 apply (zenon_or_s _ _ zenon_H248); [ zenon_intro zenon_H22c | zenon_intro zenon_H249 ]. % 196.44/196.58 apply (zenon_L502_); trivial. % 196.44/196.58 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_H8d | zenon_intro zenon_H24a ]. % 196.44/196.58 apply (zenon_L65_); trivial. % 196.44/196.58 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_H245 | zenon_intro zenon_H1d5 ]. % 196.44/196.58 apply (zenon_L352_); trivial. % 196.44/196.58 apply (zenon_L407_); trivial. % 196.44/196.58 (* end of lemma zenon_L503_ *) % 196.44/196.58 assert (zenon_L504_ : (~((h8 (op1 (e11) (e12))) = (op2 (h8 (e11)) (h8 (e12))))) -> ((h8 (e13)) = (e21)) -> ((op1 (e11) (e12)) = (e13)) -> ((op2 (e22) (e23)) = (e21)) -> ((h8 (e11)) = (e22)) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> ((op2 (e23) (e20)) = (e23)) -> ((h8 (e12)) = (op2 (e21) (e22))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e21)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((op2 (e22) (unit2)) = (e22)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((op2 (unit2) (e23)) = (e23)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (unit2) (e20)) = (e20)) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e22)) = (e22)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((e22) = (op2 (e23) (e21))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((e20) = (e23))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((op2 (e21) (unit2)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e22) (e20)) = (e22)) -> ((op2 (e21) (e23)) = (e22)) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> False). % 196.44/196.58 do 0 intro. intros zenon_H2bb zenon_H27d zenon_H25f zenon_H1dc zenon_H1fd zenon_H248 zenon_H55 zenon_H244 zenon_Hba zenon_H9f zenon_H9e zenon_H86 zenon_H76 zenon_H77 zenon_H67 zenon_H4d zenon_H56 zenon_H54 zenon_H5d zenon_Ha9 zenon_Ha3 zenon_Ha4 zenon_Hb5 zenon_Hb3 zenon_Haf zenon_Hb6 zenon_H22 zenon_H20 zenon_H29 zenon_H2a zenon_H2c zenon_H39 zenon_H37 zenon_H41 zenon_H40 zenon_H49 zenon_Hbd zenon_H1de zenon_H22d zenon_H234 zenon_H1d1 zenon_H1cd zenon_H1d4 zenon_H1d9 zenon_Hc1 zenon_Hcf zenon_Hce zenon_Hd4 zenon_Hd8 zenon_H38 zenon_Haa zenon_Hdf zenon_H1ca. % 196.44/196.58 cut (((h8 (e13)) = (e21)) = ((h8 (op1 (e11) (e12))) = (op2 (h8 (e11)) (h8 (e12))))). % 196.44/196.58 intro zenon_D_pnotp. % 196.44/196.58 apply zenon_H2bb. % 196.44/196.58 rewrite <- zenon_D_pnotp. % 196.44/196.58 exact zenon_H27d. % 196.44/196.58 cut (((e21) = (op2 (h8 (e11)) (h8 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H2bc]. % 196.44/196.58 cut (((h8 (e13)) = (h8 (op1 (e11) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H2bd]. % 196.44/196.58 congruence. % 196.44/196.58 elim (classic ((h8 (op1 (e11) (e12))) = (h8 (op1 (e11) (e12))))); [ zenon_intro zenon_H2be | zenon_intro zenon_H2bf ]. % 196.44/196.58 cut (((h8 (op1 (e11) (e12))) = (h8 (op1 (e11) (e12)))) = ((h8 (e13)) = (h8 (op1 (e11) (e12))))). % 196.44/196.58 intro zenon_D_pnotp. % 196.44/196.58 apply zenon_H2bd. % 196.44/196.58 rewrite <- zenon_D_pnotp. % 196.44/196.58 exact zenon_H2be. % 196.44/196.58 cut (((h8 (op1 (e11) (e12))) = (h8 (op1 (e11) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H2bf]. % 196.44/196.58 cut (((h8 (op1 (e11) (e12))) = (h8 (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2b9]. % 196.44/196.58 congruence. % 196.44/196.58 apply (zenon_L501_); trivial. % 196.44/196.58 apply zenon_H2bf. apply refl_equal. % 196.44/196.58 apply zenon_H2bf. apply refl_equal. % 196.44/196.58 elim (classic ((op2 (h8 (e11)) (h8 (e12))) = (op2 (h8 (e11)) (h8 (e12))))); [ zenon_intro zenon_H2c0 | zenon_intro zenon_H2c1 ]. % 196.44/196.58 cut (((op2 (h8 (e11)) (h8 (e12))) = (op2 (h8 (e11)) (h8 (e12)))) = ((e21) = (op2 (h8 (e11)) (h8 (e12))))). % 196.44/196.59 intro zenon_D_pnotp. % 196.44/196.59 apply zenon_H2bc. % 196.44/196.59 rewrite <- zenon_D_pnotp. % 196.44/196.59 exact zenon_H2c0. % 196.44/196.59 cut (((op2 (h8 (e11)) (h8 (e12))) = (op2 (h8 (e11)) (h8 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H2c1]. % 196.44/196.59 cut (((op2 (h8 (e11)) (h8 (e12))) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H2c2]. % 196.44/196.59 congruence. % 196.44/196.59 cut (((op2 (e22) (e23)) = (e21)) = ((op2 (h8 (e11)) (h8 (e12))) = (e21))). % 196.44/196.59 intro zenon_D_pnotp. % 196.44/196.59 apply zenon_H2c2. % 196.44/196.59 rewrite <- zenon_D_pnotp. % 196.44/196.59 exact zenon_H1dc. % 196.44/196.59 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H74]. % 196.44/196.59 cut (((op2 (e22) (e23)) = (op2 (h8 (e11)) (h8 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H2c3]. % 196.44/196.59 congruence. % 196.44/196.59 elim (classic ((op2 (h8 (e11)) (h8 (e12))) = (op2 (h8 (e11)) (h8 (e12))))); [ zenon_intro zenon_H2c0 | zenon_intro zenon_H2c1 ]. % 196.44/196.59 cut (((op2 (h8 (e11)) (h8 (e12))) = (op2 (h8 (e11)) (h8 (e12)))) = ((op2 (e22) (e23)) = (op2 (h8 (e11)) (h8 (e12))))). % 196.44/196.59 intro zenon_D_pnotp. % 196.44/196.59 apply zenon_H2c3. % 196.44/196.59 rewrite <- zenon_D_pnotp. % 196.44/196.59 exact zenon_H2c0. % 196.44/196.59 cut (((op2 (h8 (e11)) (h8 (e12))) = (op2 (h8 (e11)) (h8 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H2c1]. % 196.44/196.59 cut (((op2 (h8 (e11)) (h8 (e12))) = (op2 (e22) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H2c4]. % 196.44/196.59 congruence. % 196.44/196.59 cut (((h8 (e12)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H243]. % 196.44/196.59 cut (((h8 (e11)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H209]. % 196.44/196.59 congruence. % 196.44/196.59 exact (zenon_H209 zenon_H1fd). % 196.44/196.59 apply (zenon_L503_); trivial. % 196.44/196.59 apply zenon_H2c1. apply refl_equal. % 196.44/196.59 apply zenon_H2c1. apply refl_equal. % 196.44/196.59 apply zenon_H74. apply refl_equal. % 196.44/196.59 apply zenon_H2c1. apply refl_equal. % 196.44/196.59 apply zenon_H2c1. apply refl_equal. % 196.44/196.59 (* end of lemma zenon_L504_ *) % 196.44/196.59 assert (zenon_L505_ : (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((e10) = (e13))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> ((op2 (e21) (e23)) = (e22)) -> ((op2 (e22) (e20)) = (e22)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((op2 (e21) (unit2)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((e20) = (e23))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (unit2) (e22)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((e20) = (op2 (e21) (e21))) -> ((op2 (unit2) (e20)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (unit2) (e23)) = (e23)) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((op2 (e22) (unit2)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (unit2) (e21)) = (e21)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> ((h8 (e12)) = (op2 (e21) (e22))) -> ((op2 (e23) (e20)) = (e23)) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> ((h8 (e11)) = (e22)) -> ((op2 (e22) (e23)) = (e21)) -> ((h8 (e13)) = (e21)) -> (~((h8 (op1 (e11) (e12))) = (op2 (h8 (e11)) (h8 (e12))))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((op1 (e11) (unit1)) = (e11)) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e10)) = (e10)) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (unit1) (e12)) = (e12)) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> False). % 196.44/196.59 do 0 intro. intros zenon_H26a zenon_H224 zenon_H1f4 zenon_H1f7 zenon_H23e zenon_H237 zenon_H20f zenon_H223 zenon_H21a zenon_H1ca zenon_Hdf zenon_Haa zenon_H38 zenon_Hd8 zenon_Hd4 zenon_Hce zenon_Hcf zenon_Hc1 zenon_H1d9 zenon_H1d4 zenon_H1cd zenon_H1d1 zenon_H234 zenon_H22d zenon_H1de zenon_Hbd zenon_H49 zenon_H40 zenon_H41 zenon_H37 zenon_H39 zenon_H2c zenon_H2a zenon_H29 zenon_H20 zenon_H22 zenon_Hb6 zenon_Haf zenon_Hb3 zenon_Hb5 zenon_Ha4 zenon_Ha3 zenon_Ha9 zenon_H5d zenon_H54 zenon_H56 zenon_H4d zenon_H67 zenon_H77 zenon_H76 zenon_H86 zenon_H9e zenon_H9f zenon_Hba zenon_H244 zenon_H55 zenon_H248 zenon_H1fd zenon_H1dc zenon_H27d zenon_H2bb zenon_H1b5 zenon_H178 zenon_H19c zenon_H196 zenon_H197 zenon_H1a7 zenon_H267 zenon_H1a3 zenon_H17e zenon_H104 zenon_H192 zenon_H14b zenon_H14c zenon_H143 zenon_H132 zenon_H133 zenon_H131 zenon_H173 zenon_H111 zenon_H18b zenon_H186 zenon_H185 zenon_H13a zenon_H18e zenon_H11a zenon_H127 zenon_H172 zenon_H13b zenon_H10f zenon_H15b zenon_H105 zenon_H120 zenon_H121. % 196.44/196.59 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H236 | zenon_intro zenon_H26b ]. % 196.44/196.59 apply (zenon_L347_); trivial. % 196.44/196.59 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H162 | zenon_intro zenon_H26c ]. % 196.44/196.59 apply (zenon_L284_); trivial. % 196.44/196.59 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H25f | zenon_intro zenon_H268 ]. % 196.44/196.59 apply (zenon_L504_); trivial. % 196.44/196.59 apply (zenon_L397_); trivial. % 196.44/196.59 (* end of lemma zenon_L505_ *) % 196.44/196.59 assert (zenon_L506_ : ((op2 (unit2) (e23)) = (e23)) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e22) (unit2)) = (e22)) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((e10) = (e13))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> ((op2 (e22) (e20)) = (e22)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((op2 (e21) (unit2)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((e20) = (e23))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((e20) = (op2 (e21) (e21))) -> ((op2 (unit2) (e20)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> ((h8 (e12)) = (op2 (e21) (e22))) -> ((op2 (e23) (e20)) = (e23)) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> ((h8 (e11)) = (e22)) -> ((h8 (e13)) = (e21)) -> (~((h8 (op1 (e11) (e12))) = (op2 (h8 (e11)) (h8 (e12))))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((op1 (e11) (unit1)) = (e11)) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e10)) = (e10)) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (unit1) (e12)) = (e12)) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> ((op2 (e21) (e23)) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> ((op2 (e22) (e22)) = (e21)) -> ((op2 (unit2) (e21)) = (e21)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e22)) = (e22)) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> False). % 196.44/196.59 do 0 intro. intros zenon_H20 zenon_H1d1 zenon_Haf zenon_Ha4 zenon_H26a zenon_H224 zenon_H1f4 zenon_H1f7 zenon_H23e zenon_H237 zenon_H20f zenon_H223 zenon_H21a zenon_H1ca zenon_Hdf zenon_H38 zenon_Hd8 zenon_Hd4 zenon_Hce zenon_Hcf zenon_Hc1 zenon_H1d9 zenon_H1d4 zenon_H1cd zenon_H234 zenon_H22d zenon_H1de zenon_Hbd zenon_H49 zenon_H39 zenon_H2c zenon_H2a zenon_H29 zenon_H22 zenon_Hb6 zenon_Hb3 zenon_Hb5 zenon_Ha3 zenon_H5d zenon_H54 zenon_H56 zenon_H4d zenon_H67 zenon_H86 zenon_H9e zenon_H9f zenon_Hba zenon_H244 zenon_H55 zenon_H248 zenon_H1fd zenon_H27d zenon_H2bb zenon_H1b5 zenon_H178 zenon_H19c zenon_H196 zenon_H197 zenon_H1a7 zenon_H267 zenon_H1a3 zenon_H17e zenon_H104 zenon_H192 zenon_H14b zenon_H14c zenon_H143 zenon_H132 zenon_H133 zenon_H131 zenon_H173 zenon_H111 zenon_H18b zenon_H186 zenon_H185 zenon_H13a zenon_H18e zenon_H11a zenon_H127 zenon_H172 zenon_H13b zenon_H10f zenon_H15b zenon_H105 zenon_H120 zenon_H121 zenon_H2b7 zenon_H2c5 zenon_Haa zenon_Ha9 zenon_H78 zenon_H77 zenon_H76 zenon_H37 zenon_H40 zenon_H41. % 196.44/196.59 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H1e | zenon_intro zenon_H4a ]. % 196.44/196.59 apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_H2b6 | zenon_intro zenon_H2c6 ]. % 196.44/196.59 apply (zenon_L500_); trivial. % 196.44/196.59 apply (zenon_or_s _ _ zenon_H2c6); [ zenon_intro zenon_H1dc | zenon_intro zenon_H2c7 ]. % 196.44/196.59 apply (zenon_L505_); trivial. % 196.44/196.59 apply (zenon_or_s _ _ zenon_H2c7); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H1d7 ]. % 196.44/196.59 apply (zenon_L49_); trivial. % 196.44/196.59 apply (zenon_L208_); trivial. % 196.44/196.59 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2b | zenon_intro zenon_H4b ]. % 196.44/196.59 apply (zenon_L46_); trivial. % 196.44/196.59 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H3f ]. % 196.44/196.59 apply (zenon_L30_); trivial. % 196.44/196.59 apply (zenon_L9_); trivial. % 196.44/196.59 (* end of lemma zenon_L506_ *) % 196.44/196.59 assert (zenon_L507_ : (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((e10) = (e13))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> ((op2 (e21) (e23)) = (e22)) -> ((op2 (e22) (e20)) = (e22)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((op2 (e21) (unit2)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((e20) = (e23))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (unit2) (e22)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((e20) = (op2 (e21) (e21))) -> ((op2 (unit2) (e20)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (unit2) (e23)) = (e23)) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((op2 (e22) (unit2)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (unit2) (e21)) = (e21)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> ((h8 (e12)) = (op2 (e21) (e22))) -> ((op2 (e23) (e20)) = (e23)) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> ((h8 (e11)) = (e22)) -> ((h8 (e13)) = (e21)) -> (~((h8 (op1 (e11) (e12))) = (op2 (h8 (e11)) (h8 (e12))))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((op1 (e11) (unit1)) = (e11)) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e10)) = (e10)) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (unit1) (e12)) = (e12)) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> False). % 196.44/196.59 do 0 intro. intros zenon_H2c5 zenon_H2b7 zenon_H26a zenon_H224 zenon_H1f4 zenon_H1f7 zenon_H23e zenon_H237 zenon_H20f zenon_H223 zenon_H21a zenon_H1ca zenon_Hdf zenon_Haa zenon_H38 zenon_Hd8 zenon_Hd4 zenon_Hce zenon_Hcf zenon_Hc1 zenon_H1d9 zenon_H1d4 zenon_H1cd zenon_H1d1 zenon_H234 zenon_H22d zenon_H1de zenon_Hbd zenon_H49 zenon_H40 zenon_H41 zenon_H37 zenon_H39 zenon_H2c zenon_H2a zenon_H29 zenon_H20 zenon_H22 zenon_Hb6 zenon_Haf zenon_Hb3 zenon_Hb5 zenon_Ha4 zenon_Ha3 zenon_Ha9 zenon_H5d zenon_H54 zenon_H56 zenon_H4d zenon_H67 zenon_H77 zenon_H76 zenon_H86 zenon_H9e zenon_H9f zenon_Hba zenon_H244 zenon_H55 zenon_H248 zenon_H1fd zenon_H27d zenon_H2bb zenon_H1b5 zenon_H178 zenon_H19c zenon_H196 zenon_H197 zenon_H1a7 zenon_H267 zenon_H1a3 zenon_H17e zenon_H104 zenon_H192 zenon_H14b zenon_H14c zenon_H143 zenon_H132 zenon_H133 zenon_H131 zenon_H173 zenon_H111 zenon_H18b zenon_H186 zenon_H185 zenon_H13a zenon_H18e zenon_H11a zenon_H127 zenon_H172 zenon_H13b zenon_H10f zenon_H15b zenon_H105 zenon_H120 zenon_H121. % 196.44/196.59 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_Hd9 | zenon_intro zenon_H1df ]. % 196.44/196.59 apply (zenon_L324_); trivial. % 196.44/196.59 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H1ce | zenon_intro zenon_H1e0 ]. % 196.44/196.59 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_Hc0 | zenon_intro zenon_He0 ]. % 196.44/196.59 apply (zenon_L218_); trivial. % 196.44/196.59 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hd0 | zenon_intro zenon_He1 ]. % 196.44/196.59 apply (zenon_L74_); trivial. % 196.44/196.59 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_H78 | zenon_intro zenon_Hdb ]. % 196.44/196.59 apply (zenon_L506_); trivial. % 196.44/196.59 apply (zenon_L211_); trivial. % 196.44/196.59 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H78 | zenon_intro zenon_H1dc ]. % 196.44/196.59 apply (zenon_L506_); trivial. % 196.44/196.59 apply (zenon_L505_); trivial. % 196.44/196.59 (* end of lemma zenon_L507_ *) % 196.44/196.59 assert (zenon_L508_ : (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e13) (e11))) -> ((op1 (unit1) (e12)) = (e12)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> ((op1 (unit1) (e10)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((op1 (e11) (unit1)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((h8 (op1 (e11) (e12))) = (op2 (h8 (e11)) (h8 (e12))))) -> ((h8 (e13)) = (e21)) -> ((h8 (e11)) = (e22)) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> ((h8 (e12)) = (op2 (e21) (e22))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e21)) = (e21)) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((op2 (unit2) (e23)) = (e23)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (unit2) (e20)) = (e20)) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((e20) = (e23))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((op2 (e21) (unit2)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e22) (e20)) = (e22)) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((e10) = (e13))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (unit2) (e22)) = (e22)) -> ((op2 (e23) (unit2)) = (e23)) -> ((op2 (e23) (e20)) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e22) (unit2)) = (e22)) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> False). % 196.44/196.59 do 0 intro. intros zenon_H121 zenon_H120 zenon_H105 zenon_H15b zenon_H10f zenon_H13b zenon_H172 zenon_H127 zenon_H11a zenon_H18e zenon_H13a zenon_H185 zenon_H186 zenon_H18b zenon_H111 zenon_H173 zenon_H131 zenon_H133 zenon_H132 zenon_H143 zenon_H14c zenon_H14b zenon_H192 zenon_H104 zenon_H17e zenon_H1a3 zenon_H267 zenon_H1a7 zenon_H197 zenon_H196 zenon_H19c zenon_H178 zenon_H1b5 zenon_H2bb zenon_H27d zenon_H1fd zenon_H248 zenon_H244 zenon_Hba zenon_H9f zenon_H9e zenon_H86 zenon_H76 zenon_H77 zenon_H4d zenon_Ha9 zenon_Ha3 zenon_Hb5 zenon_Hb3 zenon_Hb6 zenon_H22 zenon_H20 zenon_H29 zenon_H2a zenon_H2c zenon_H39 zenon_Hbd zenon_H1de zenon_H22d zenon_H234 zenon_H1d1 zenon_H1cd zenon_H1d4 zenon_H1d9 zenon_Hc1 zenon_Hcf zenon_Hce zenon_Hd4 zenon_Hd8 zenon_H38 zenon_Hdf zenon_H1ca zenon_H21a zenon_H223 zenon_H20f zenon_H237 zenon_H23e zenon_H1f7 zenon_H1f4 zenon_H224 zenon_H26a zenon_H2b7 zenon_H2c5 zenon_H41 zenon_H37 zenon_H54 zenon_H55 zenon_H5d zenon_H56 zenon_Haf zenon_Ha4 zenon_H49 zenon_H40 zenon_H67. % 196.44/196.59 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_H4e | zenon_intro zenon_Hb7 ]. % 196.44/196.59 apply (zenon_L41_); trivial. % 196.44/196.59 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_Haa | zenon_intro zenon_Hb8 ]. % 196.44/196.59 apply (zenon_L507_); trivial. % 196.44/196.59 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H7d ]. % 196.44/196.59 apply (zenon_L50_); trivial. % 196.44/196.59 apply (zenon_L31_); trivial. % 196.44/196.59 (* end of lemma zenon_L508_ *) % 196.44/196.59 assert (zenon_L509_ : ((op2 (e22) (unit2)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((e10) = (e13))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> ((op2 (e22) (e20)) = (e22)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((op2 (e21) (unit2)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((e20) = (e23))) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> ((h8 (e12)) = (op2 (e21) (e22))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> ((h8 (e11)) = (e22)) -> ((h8 (e13)) = (e21)) -> (~((h8 (op1 (e11) (e12))) = (op2 (h8 (e11)) (h8 (e12))))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((op1 (e11) (unit1)) = (e11)) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e10)) = (e10)) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (unit1) (e12)) = (e12)) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> ((op2 (e21) (e23)) = (e22)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (unit2) (e23)) = (e23)) -> ((op2 (unit2) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e21)) = (e21)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((op2 (unit2) (e22)) = (e22)) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> False). % 196.44/196.59 do 0 intro. intros zenon_Ha4 zenon_Haf zenon_H2c5 zenon_H2b7 zenon_H26a zenon_H224 zenon_H1f4 zenon_H1f7 zenon_H23e zenon_H237 zenon_H20f zenon_H223 zenon_H21a zenon_H1ca zenon_Hdf zenon_H38 zenon_Hd8 zenon_Hd4 zenon_Hce zenon_Hcf zenon_Hc1 zenon_H1d9 zenon_H1d4 zenon_H1cd zenon_H1d1 zenon_H234 zenon_H22d zenon_H1de zenon_Hbd zenon_H2c zenon_H29 zenon_H22 zenon_Hb6 zenon_Hb3 zenon_Hb5 zenon_Ha3 zenon_H4d zenon_H9f zenon_Hba zenon_H244 zenon_H248 zenon_H1fd zenon_H27d zenon_H2bb zenon_H1b5 zenon_H178 zenon_H19c zenon_H196 zenon_H197 zenon_H1a7 zenon_H267 zenon_H1a3 zenon_H17e zenon_H104 zenon_H192 zenon_H14b zenon_H14c zenon_H143 zenon_H132 zenon_H133 zenon_H131 zenon_H173 zenon_H111 zenon_H18b zenon_H186 zenon_H185 zenon_H13a zenon_H18e zenon_H11a zenon_H127 zenon_H172 zenon_H13b zenon_H10f zenon_H15b zenon_H105 zenon_H120 zenon_H121 zenon_Ha9 zenon_Haa zenon_H56 zenon_H20 zenon_H2a zenon_H39 zenon_H77 zenon_H76 zenon_H5d zenon_H49 zenon_H9e zenon_H67 zenon_H54 zenon_H86 zenon_H37 zenon_H40 zenon_H41. % 196.44/196.59 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H55 | zenon_intro zenon_Ha0 ]. % 196.44/196.59 apply (zenon_L508_); trivial. % 196.44/196.59 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_H61 | zenon_intro zenon_Ha1 ]. % 196.44/196.59 apply (zenon_L47_); trivial. % 196.44/196.59 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H6c | zenon_intro zenon_H87 ]. % 196.44/196.59 apply (zenon_L37_); trivial. % 196.44/196.59 apply (zenon_L40_); trivial. % 196.44/196.59 (* end of lemma zenon_L509_ *) % 196.44/196.59 assert (zenon_L510_ : (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e21)) = (e21)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e20)) = (e20)) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e13) (e11))) -> ((op1 (unit1) (e12)) = (e12)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> ((op1 (unit1) (e10)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((op1 (e11) (unit1)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((h8 (op1 (e11) (e12))) = (op2 (h8 (e11)) (h8 (e12))))) -> ((h8 (e13)) = (e21)) -> ((h8 (e11)) = (e22)) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> ((h8 (e12)) = (op2 (e21) (e22))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> (~((e20) = (e23))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((op2 (e21) (unit2)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e22) (e20)) = (e22)) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((e10) = (e13))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op2 (e22) (e23)) = (op2 (e23) (e23)))) -> (((op2 (e22) (e23)) = (e20))\/(((op2 (e22) (e23)) = (e21))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e22) (e23)) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (unit2) (e22)) = (e22)) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((op2 (unit2) (e23)) = (e23)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e22) (unit2)) = (e22)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> False). % 196.44/196.59 do 0 intro. intros zenon_H76 zenon_H77 zenon_H39 zenon_H2a zenon_Ha9 zenon_H121 zenon_H120 zenon_H105 zenon_H15b zenon_H10f zenon_H13b zenon_H172 zenon_H127 zenon_H11a zenon_H18e zenon_H13a zenon_H185 zenon_H186 zenon_H18b zenon_H111 zenon_H173 zenon_H131 zenon_H133 zenon_H132 zenon_H143 zenon_H14c zenon_H14b zenon_H192 zenon_H104 zenon_H17e zenon_H1a3 zenon_H267 zenon_H1a7 zenon_H197 zenon_H196 zenon_H19c zenon_H178 zenon_H1b5 zenon_H2bb zenon_H27d zenon_H1fd zenon_H248 zenon_H244 zenon_Hba zenon_H4d zenon_Ha3 zenon_Hb6 zenon_H22 zenon_H29 zenon_H2c zenon_Hbd zenon_H1de zenon_H22d zenon_H234 zenon_H1d1 zenon_H1cd zenon_H1d4 zenon_H1d9 zenon_Hc1 zenon_Hcf zenon_Hce zenon_Hd4 zenon_Hd8 zenon_H38 zenon_Hdf zenon_H1ca zenon_H21a zenon_H223 zenon_H20f zenon_H237 zenon_H23e zenon_H1f7 zenon_H1f4 zenon_H224 zenon_H26a zenon_H2b7 zenon_H2c5 zenon_H41 zenon_H37 zenon_H86 zenon_H54 zenon_H9e zenon_H49 zenon_H5d zenon_Hb5 zenon_H20 zenon_Haf zenon_Ha4 zenon_Hb3 zenon_H56 zenon_H9f zenon_H40 zenon_H67. % 196.44/196.59 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_H4e | zenon_intro zenon_Hb7 ]. % 196.44/196.59 apply (zenon_L41_); trivial. % 196.44/196.59 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_Haa | zenon_intro zenon_Hb8 ]. % 196.44/196.59 apply (zenon_L509_); trivial. % 196.44/196.59 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H7d ]. % 196.44/196.59 apply (zenon_L55_); trivial. % 196.44/196.59 apply (zenon_L31_); trivial. % 196.44/196.59 (* end of lemma zenon_L510_ *) % 196.44/196.59 assert (zenon_L511_ : (~((h8 (op1 (e11) (e13))) = (op2 (h8 (e11)) (h8 (e13))))) -> ((h8 (e12)) = (op2 (e21) (e22))) -> ((op1 (e11) (e13)) = (e12)) -> ((op2 (e22) (e21)) = (e23)) -> ((op2 (e21) (e22)) = (e23)) -> ((h8 (e11)) = (e22)) -> ((h8 (e13)) = (e21)) -> False). % 196.44/196.59 do 0 intro. intros zenon_H2c8 zenon_H244 zenon_H17f zenon_Hc7 zenon_H245 zenon_H1fd zenon_H27d. % 196.44/196.59 cut (((h8 (e12)) = (op2 (e21) (e22))) = ((h8 (op1 (e11) (e13))) = (op2 (h8 (e11)) (h8 (e13))))). % 196.44/196.59 intro zenon_D_pnotp. % 196.44/196.59 apply zenon_H2c8. % 196.44/196.59 rewrite <- zenon_D_pnotp. % 196.44/196.59 exact zenon_H244. % 196.44/196.59 cut (((op2 (e21) (e22)) = (op2 (h8 (e11)) (h8 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H2c9]. % 196.44/196.59 cut (((h8 (e12)) = (h8 (op1 (e11) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H2ca]. % 196.44/196.59 congruence. % 196.44/196.59 elim (classic ((h8 (op1 (e11) (e13))) = (h8 (op1 (e11) (e13))))); [ zenon_intro zenon_H2cb | zenon_intro zenon_H2cc ]. % 196.44/196.59 cut (((h8 (op1 (e11) (e13))) = (h8 (op1 (e11) (e13)))) = ((h8 (e12)) = (h8 (op1 (e11) (e13))))). % 196.44/196.59 intro zenon_D_pnotp. % 196.44/196.59 apply zenon_H2ca. % 196.44/196.59 rewrite <- zenon_D_pnotp. % 196.44/196.59 exact zenon_H2cb. % 196.44/196.59 cut (((h8 (op1 (e11) (e13))) = (h8 (op1 (e11) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H2cc]. % 196.44/196.59 cut (((h8 (op1 (e11) (e13))) = (h8 (e12)))); [idtac | apply NNPP; zenon_intro zenon_H2cd]. % 196.44/196.59 congruence. % 196.44/196.59 cut (((op1 (e11) (e13)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H2ce]. % 196.44/196.59 congruence. % 196.44/196.59 exact (zenon_H2ce zenon_H17f). % 196.44/196.59 apply zenon_H2cc. apply refl_equal. % 196.44/196.59 apply zenon_H2cc. apply refl_equal. % 196.44/196.59 elim (classic ((op2 (h8 (e11)) (h8 (e13))) = (op2 (h8 (e11)) (h8 (e13))))); [ zenon_intro zenon_H2cf | zenon_intro zenon_H2d0 ]. % 196.44/196.59 cut (((op2 (h8 (e11)) (h8 (e13))) = (op2 (h8 (e11)) (h8 (e13)))) = ((op2 (e21) (e22)) = (op2 (h8 (e11)) (h8 (e13))))). % 196.44/196.59 intro zenon_D_pnotp. % 196.44/196.59 apply zenon_H2c9. % 196.44/196.59 rewrite <- zenon_D_pnotp. % 196.44/196.59 exact zenon_H2cf. % 196.44/196.59 cut (((op2 (h8 (e11)) (h8 (e13))) = (op2 (h8 (e11)) (h8 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H2d0]. % 196.44/196.59 cut (((op2 (h8 (e11)) (h8 (e13))) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H2d1]. % 196.44/196.59 congruence. % 196.44/196.59 cut (((op2 (e22) (e21)) = (e23)) = ((op2 (h8 (e11)) (h8 (e13))) = (op2 (e21) (e22)))). % 196.44/196.59 intro zenon_D_pnotp. % 196.44/196.59 apply zenon_H2d1. % 196.44/196.59 rewrite <- zenon_D_pnotp. % 196.44/196.59 exact zenon_Hc7. % 196.44/196.59 cut (((e23) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H253]. % 196.44/196.59 cut (((op2 (e22) (e21)) = (op2 (h8 (e11)) (h8 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H2d2]. % 196.44/196.59 congruence. % 196.44/196.59 elim (classic ((op2 (h8 (e11)) (h8 (e13))) = (op2 (h8 (e11)) (h8 (e13))))); [ zenon_intro zenon_H2cf | zenon_intro zenon_H2d0 ]. % 196.44/196.59 cut (((op2 (h8 (e11)) (h8 (e13))) = (op2 (h8 (e11)) (h8 (e13)))) = ((op2 (e22) (e21)) = (op2 (h8 (e11)) (h8 (e13))))). % 196.44/196.59 intro zenon_D_pnotp. % 196.44/196.59 apply zenon_H2d2. % 196.44/196.59 rewrite <- zenon_D_pnotp. % 196.44/196.59 exact zenon_H2cf. % 196.44/196.59 cut (((op2 (h8 (e11)) (h8 (e13))) = (op2 (h8 (e11)) (h8 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H2d0]. % 196.44/196.59 cut (((op2 (h8 (e11)) (h8 (e13))) = (op2 (e22) (e21)))); [idtac | apply NNPP; zenon_intro zenon_H2d3]. % 196.44/196.59 congruence. % 196.44/196.59 cut (((h8 (e13)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H289]. % 196.44/196.59 cut (((h8 (e11)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H209]. % 196.44/196.59 congruence. % 196.44/196.59 exact (zenon_H209 zenon_H1fd). % 196.44/196.59 exact (zenon_H289 zenon_H27d). % 196.44/196.59 apply zenon_H2d0. apply refl_equal. % 196.44/196.59 apply zenon_H2d0. apply refl_equal. % 196.44/196.59 apply zenon_H253. apply sym_equal. exact zenon_H245. % 196.44/196.59 apply zenon_H2d0. apply refl_equal. % 196.44/196.59 apply zenon_H2d0. apply refl_equal. % 196.44/196.59 (* end of lemma zenon_L511_ *) % 196.44/196.59 assert (zenon_L512_ : (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e10)) = (e10)) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> ((h8 (e13)) = (e21)) -> ((h8 (e11)) = (e22)) -> ((op2 (e21) (e22)) = (e23)) -> ((op2 (e22) (e21)) = (e23)) -> ((h8 (e12)) = (op2 (e21) (e22))) -> (~((h8 (op1 (e11) (e13))) = (op2 (h8 (e11)) (h8 (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (unit1) (e12)) = (e12)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> False). % 196.44/196.59 do 0 intro. intros zenon_H192 zenon_H14b zenon_H14c zenon_H143 zenon_H132 zenon_H133 zenon_H131 zenon_H104 zenon_H27d zenon_H1fd zenon_H245 zenon_Hc7 zenon_H244 zenon_H2c8 zenon_H121 zenon_H105 zenon_H15b zenon_H10f zenon_H172 zenon_H127 zenon_H11a zenon_H18e zenon_H13a zenon_H185 zenon_H186 zenon_H18b zenon_H111 zenon_H173 zenon_H120 zenon_H13b. % 196.44/196.59 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H106 | zenon_intro zenon_H193 ]. % 196.44/196.59 apply (zenon_L134_); trivial. % 196.44/196.59 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H17f | zenon_intro zenon_H194 ]. % 196.44/196.59 apply (zenon_L511_); trivial. % 196.44/196.59 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H187 | zenon_intro zenon_H152 ]. % 196.44/196.59 apply (zenon_L149_); trivial. % 196.44/196.59 apply (zenon_L124_); trivial. % 196.44/196.59 (* end of lemma zenon_L512_ *) % 196.44/196.59 assert (zenon_L513_ : (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> ((e22) = (op2 (e23) (e21))) -> ((op2 (unit2) (e22)) = (e22)) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e22) (unit2)) = (e22)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e21)) = (e21)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((e20) = (e23))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e13) (e11))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (unit1) (e12)) = (e12)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((h8 (op1 (e11) (e13))) = (op2 (h8 (e11)) (h8 (e13))))) -> ((h8 (e12)) = (op2 (e21) (e22))) -> ((op2 (e21) (e22)) = (e23)) -> ((h8 (e11)) = (e22)) -> ((h8 (e13)) = (e21)) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> ((op1 (unit1) (e10)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> ((op2 (unit2) (e20)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e23) (unit2)) = (e23)) -> ((op2 (unit2) (e23)) = (e23)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> False). % 196.44/196.59 do 0 intro. intros zenon_H1ca zenon_H40 zenon_H37 zenon_H86 zenon_H9e zenon_H5d zenon_Hb5 zenon_Haf zenon_Ha4 zenon_Hb3 zenon_H9f zenon_Hb6 zenon_H4d zenon_H76 zenon_H77 zenon_H39 zenon_Ha9 zenon_Ha3 zenon_H22 zenon_Hba zenon_Hbd zenon_H13b zenon_H120 zenon_H173 zenon_H111 zenon_H18b zenon_H186 zenon_H185 zenon_H13a zenon_H18e zenon_H11a zenon_H127 zenon_H172 zenon_H10f zenon_H15b zenon_H105 zenon_H121 zenon_H2c8 zenon_H244 zenon_H245 zenon_H1fd zenon_H27d zenon_H104 zenon_H131 zenon_H133 zenon_H132 zenon_H143 zenon_H14c zenon_H14b zenon_H192 zenon_H49 zenon_H56 zenon_H2c zenon_H2a zenon_H29 zenon_H41 zenon_H54 zenon_H20 zenon_H67. % 196.44/196.59 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H21 | zenon_intro zenon_H1cb ]. % 196.44/196.59 apply (zenon_L64_); trivial. % 196.44/196.59 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H8d | zenon_intro zenon_H1cc ]. % 196.44/196.59 apply (zenon_L65_); trivial. % 196.44/196.59 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H61 ]. % 196.44/196.59 apply (zenon_L512_); trivial. % 196.44/196.59 apply (zenon_L23_); trivial. % 196.44/196.59 (* end of lemma zenon_L513_ *) % 196.44/196.59 assert (zenon_L514_ : (~((h8 (op1 (e12) (e10))) = (h8 (e12)))) -> ((op1 (e12) (e10)) = (e12)) -> False). % 196.44/196.59 do 0 intro. intros zenon_H2d4 zenon_H1a0. % 196.44/196.59 cut (((op1 (e12) (e10)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H2d5]. % 196.44/196.59 congruence. % 196.44/196.59 exact (zenon_H2d5 zenon_H1a0). % 196.44/196.59 (* end of lemma zenon_L514_ *) % 196.44/196.59 assert (zenon_L515_ : ((h8 (e10)) = (op2 (e22) (e22))) -> (~((h8 (e10)) = (e20))) -> ((op2 (e21) (unit2)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (e23) (unit2)) = (e23)) -> ((unit2) = (e20)) -> False). % 196.44/196.59 do 0 intro. intros zenon_Hf0 zenon_Hef zenon_Hcf zenon_H29 zenon_H67 zenon_H40 zenon_H9e zenon_H54 zenon_H1e. % 196.44/196.59 apply (zenon_or_s _ _ ax13); [ zenon_intro zenon_H90 | zenon_intro zenon_H8f ]. % 196.44/196.59 apply (zenon_L351_); trivial. % 196.44/196.59 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H97 | zenon_intro zenon_H96 ]. % 196.44/196.59 apply (zenon_L91_); trivial. % 196.44/196.59 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H80 | zenon_intro zenon_H89 ]. % 196.44/196.59 apply (zenon_L32_); trivial. % 196.44/196.59 apply (zenon_L92_); trivial. % 196.44/196.59 (* end of lemma zenon_L515_ *) % 196.44/196.59 assert (zenon_L516_ : (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (e21) (unit2)) = (e21)) -> (~((h8 (e10)) = (e20))) -> ((h8 (e10)) = (op2 (e22) (e22))) -> ((op2 (e21) (e23)) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> ((op2 (e22) (e22)) = (e21)) -> ((op2 (unit2) (e21)) = (e21)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e22)) = (e22)) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> False). % 196.44/196.59 do 0 intro. intros zenon_H49 zenon_H54 zenon_H9e zenon_H67 zenon_H29 zenon_Hcf zenon_Hef zenon_Hf0 zenon_Haa zenon_Ha9 zenon_H78 zenon_H77 zenon_H76 zenon_H37 zenon_H40 zenon_H41. % 196.44/196.59 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H1e | zenon_intro zenon_H4a ]. % 196.44/196.59 apply (zenon_L515_); trivial. % 196.44/196.59 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2b | zenon_intro zenon_H4b ]. % 196.44/196.59 apply (zenon_L46_); trivial. % 196.44/196.59 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H3f ]. % 196.44/196.59 apply (zenon_L30_); trivial. % 196.44/196.59 apply (zenon_L9_); trivial. % 196.44/196.59 (* end of lemma zenon_L516_ *) % 196.44/196.59 assert (zenon_L517_ : (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> ((e20) = (op2 (e21) (e21))) -> ((op2 (unit2) (e20)) = (e20)) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e21)) = (e21)) -> ((op2 (e22) (e22)) = (e21)) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> ((h8 (e10)) = (op2 (e22) (e22))) -> (~((h8 (e10)) = (e20))) -> ((op2 (e21) (unit2)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (unit2) (e22)) = (e22)) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((op2 (unit2) (e23)) = (e23)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e22) (unit2)) = (e22)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> False). % 196.44/196.59 do 0 intro. intros zenon_Hb6 zenon_H2c zenon_H2a zenon_H4d zenon_H76 zenon_H77 zenon_H78 zenon_Ha9 zenon_Hf0 zenon_Hef zenon_Hcf zenon_H29 zenon_H41 zenon_H37 zenon_H86 zenon_H54 zenon_H9e zenon_H49 zenon_H5d zenon_Hb5 zenon_H20 zenon_Haf zenon_Ha4 zenon_Hb3 zenon_H56 zenon_H9f zenon_H40 zenon_H67. % 196.44/196.59 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_H4e | zenon_intro zenon_Hb7 ]. % 196.44/196.59 apply (zenon_L86_); trivial. % 196.44/196.59 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_Haa | zenon_intro zenon_Hb8 ]. % 196.44/196.59 apply (zenon_L516_); trivial. % 196.44/196.59 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H7d ]. % 196.44/196.59 apply (zenon_L55_); trivial. % 196.44/196.59 apply (zenon_L31_); trivial. % 196.44/196.59 (* end of lemma zenon_L517_ *) % 196.44/196.59 assert (zenon_L518_ : (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((op2 (e21) (unit2)) = (e21)) -> (~((h8 (e10)) = (e20))) -> ((h8 (e10)) = (op2 (e22) (e22))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> ((op2 (e22) (e21)) = (e21)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e22) (e21)) = (e23)) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> ((op2 (unit2) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e21)) = (e21)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((op2 (e22) (unit2)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (unit2) (e23)) = (e23)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((op2 (unit2) (e22)) = (e22)) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> False). % 196.44/196.59 do 0 intro. intros zenon_Hdf zenon_Hc1 zenon_Hd4 zenon_Hce zenon_Hcf zenon_Hef zenon_Hf0 zenon_H1d9 zenon_H1cd zenon_H1ce zenon_H1d4 zenon_Hba zenon_H1d1 zenon_Hc7 zenon_H2c zenon_H29 zenon_Ha3 zenon_Ha9 zenon_H2a zenon_H39 zenon_H77 zenon_H76 zenon_H4d zenon_Hb6 zenon_H9f zenon_H56 zenon_Hb3 zenon_Ha4 zenon_Haf zenon_H20 zenon_Hb5 zenon_H5d zenon_H49 zenon_H9e zenon_H67 zenon_H54 zenon_H86 zenon_H37 zenon_H40 zenon_H41. % 196.44/196.59 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_Hc0 | zenon_intro zenon_He0 ]. % 196.44/196.59 apply (zenon_L218_); trivial. % 196.44/196.59 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hd0 | zenon_intro zenon_He1 ]. % 196.44/196.59 apply (zenon_L79_); trivial. % 196.44/196.59 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_H78 | zenon_intro zenon_Hdb ]. % 196.44/196.59 apply (zenon_L517_); trivial. % 196.44/196.59 apply (zenon_L250_); trivial. % 196.44/196.59 (* end of lemma zenon_L518_ *) % 196.44/196.59 assert (zenon_L519_ : (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e21) (unit2)) = (e21)) -> (~((h8 (e10)) = (e20))) -> ((h8 (e10)) = (op2 (e22) (e22))) -> ((e20) = (op2 (e21) (e21))) -> ((op2 (unit2) (e20)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (e22) (e20)) = (e22)) -> ((op2 (unit2) (e22)) = (e22)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (unit2) (e21)) = (e21)) -> ((op2 (e23) (e22)) = (e21)) -> False). % 196.44/196.59 do 0 intro. intros zenon_H49 zenon_H54 zenon_H9e zenon_H40 zenon_H67 zenon_Hcf zenon_Hef zenon_Hf0 zenon_H2c zenon_H2a zenon_H29 zenon_H39 zenon_H38 zenon_H37 zenon_H41 zenon_H77 zenon_Hdb. % 196.44/196.59 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H1e | zenon_intro zenon_H4a ]. % 196.44/196.59 apply (zenon_L515_); trivial. % 196.44/196.59 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2b | zenon_intro zenon_H4b ]. % 196.44/196.59 apply (zenon_L5_); trivial. % 196.44/196.59 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H3f ]. % 196.44/196.59 apply (zenon_L8_); trivial. % 196.44/196.59 apply (zenon_L82_); trivial. % 196.44/196.59 (* end of lemma zenon_L519_ *) % 196.44/196.59 assert (zenon_L520_ : (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> ((op2 (e22) (e21)) = (e23)) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> ((h8 (e10)) = (op2 (e22) (e22))) -> (~((h8 (e10)) = (e20))) -> ((op2 (e21) (unit2)) = (e21)) -> ((op2 (e22) (e23)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> ((op2 (unit2) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e21)) = (e21)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((op2 (e22) (unit2)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (unit2) (e23)) = (e23)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((op2 (unit2) (e22)) = (e22)) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> False). % 196.44/196.59 do 0 intro. intros zenon_Hdf zenon_Hc7 zenon_Hc1 zenon_Hd4 zenon_Hce zenon_Hba zenon_Hf0 zenon_Hef zenon_Hcf zenon_H1dc zenon_H29 zenon_H2c zenon_Ha3 zenon_Ha9 zenon_H2a zenon_H39 zenon_H77 zenon_H76 zenon_H4d zenon_Hb6 zenon_H9f zenon_H56 zenon_Hb3 zenon_Ha4 zenon_Haf zenon_H20 zenon_Hb5 zenon_H5d zenon_H49 zenon_H9e zenon_H67 zenon_H54 zenon_H86 zenon_H37 zenon_H40 zenon_H41. % 196.44/196.59 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_Hc0 | zenon_intro zenon_He0 ]. % 196.44/196.59 apply (zenon_L71_); trivial. % 196.44/196.59 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hd0 | zenon_intro zenon_He1 ]. % 196.44/196.59 apply (zenon_L79_); trivial. % 196.44/196.59 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_H78 | zenon_intro zenon_Hdb ]. % 196.44/196.59 apply (zenon_L517_); trivial. % 196.44/196.59 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H38 | zenon_intro zenon_Hbb ]. % 196.44/196.59 apply (zenon_L519_); trivial. % 196.44/196.59 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_Ha5 | zenon_intro zenon_Hbc ]. % 196.44/196.59 apply (zenon_L253_); trivial. % 196.44/196.59 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H85 | zenon_intro zenon_Hb0 ]. % 196.44/196.59 apply (zenon_L227_); trivial. % 196.44/196.59 apply (zenon_L55_); trivial. % 196.44/196.59 (* end of lemma zenon_L520_ *) % 196.44/196.59 assert (zenon_L521_ : (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((e20) = (e23))) -> ((e22) = (op2 (e23) (e21))) -> ((op2 (unit2) (e22)) = (e22)) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e22) (unit2)) = (e22)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e21)) = (e21)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((op2 (e21) (unit2)) = (e21)) -> (~((h8 (e10)) = (e20))) -> ((h8 (e10)) = (op2 (e22) (e22))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> ((op2 (unit2) (e20)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e23) (unit2)) = (e23)) -> ((op2 (unit2) (e23)) = (e23)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> False). % 196.44/196.60 do 0 intro. intros zenon_H1ca zenon_H22 zenon_Hbd zenon_H40 zenon_H37 zenon_H86 zenon_H9e zenon_H5d zenon_Hb5 zenon_Haf zenon_Ha4 zenon_Hb3 zenon_H9f zenon_Hb6 zenon_H4d zenon_H76 zenon_H77 zenon_H39 zenon_Ha9 zenon_Ha3 zenon_Hcf zenon_Hef zenon_Hf0 zenon_Hba zenon_Hce zenon_Hd4 zenon_Hc1 zenon_Hdf zenon_H1d9 zenon_H1cd zenon_H1d4 zenon_H1d1 zenon_Hd8 zenon_H1de zenon_H49 zenon_H56 zenon_H2c zenon_H2a zenon_H29 zenon_H41 zenon_H54 zenon_H20 zenon_H67. % 196.44/196.60 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H21 | zenon_intro zenon_H1cb ]. % 196.44/196.60 apply (zenon_L64_); trivial. % 196.44/196.60 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H8d | zenon_intro zenon_H1cc ]. % 196.44/196.60 apply (zenon_L65_); trivial. % 196.44/196.60 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H61 ]. % 196.44/196.60 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_Hd9 | zenon_intro zenon_H1df ]. % 196.44/196.60 apply (zenon_L324_); trivial. % 196.44/196.60 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H1ce | zenon_intro zenon_H1e0 ]. % 196.44/196.60 apply (zenon_L518_); trivial. % 196.44/196.60 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H78 | zenon_intro zenon_H1dc ]. % 196.44/196.60 apply (zenon_L517_); trivial. % 196.44/196.60 apply (zenon_L520_); trivial. % 196.44/196.60 apply (zenon_L23_); trivial. % 196.44/196.60 (* end of lemma zenon_L521_ *) % 196.44/196.60 assert (zenon_L522_ : (~((h8 (op1 (e12) (e10))) = (op2 (h8 (e12)) (h8 (e10))))) -> ((op1 (e12) (e10)) = (e12)) -> ((op2 (e23) (e20)) = (e23)) -> ((op2 (e21) (e22)) = (e23)) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> ((h8 (e12)) = (op2 (e21) (e22))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e21)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((op2 (e22) (unit2)) = (e22)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((op2 (unit2) (e23)) = (e23)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (unit2) (e20)) = (e20)) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e22)) = (e22)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((e22) = (op2 (e23) (e21))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((e20) = (e23))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((op2 (e21) (unit2)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> ((h8 (e10)) = (op2 (e22) (e22))) -> False). % 196.44/196.60 do 0 intro. intros zenon_H2d6 zenon_H1a0 zenon_H55 zenon_H245 zenon_H248 zenon_H244 zenon_Hba zenon_H9f zenon_H9e zenon_H86 zenon_H76 zenon_H77 zenon_H67 zenon_H4d zenon_H56 zenon_H54 zenon_H5d zenon_Ha9 zenon_Ha3 zenon_Ha4 zenon_Hb5 zenon_Hb3 zenon_Haf zenon_Hb6 zenon_H22 zenon_H20 zenon_H29 zenon_H2a zenon_H2c zenon_H39 zenon_H37 zenon_H41 zenon_H40 zenon_H49 zenon_Hbd zenon_H22d zenon_H1de zenon_H234 zenon_H1d1 zenon_H1cd zenon_H1d4 zenon_H1d9 zenon_Hc1 zenon_Hcf zenon_Hce zenon_Hd4 zenon_Hd8 zenon_Hdf zenon_H1ca zenon_Hf0. % 196.44/196.60 cut (((h8 (e12)) = (op2 (e21) (e22))) = ((h8 (op1 (e12) (e10))) = (op2 (h8 (e12)) (h8 (e10))))). % 196.44/196.60 intro zenon_D_pnotp. % 196.44/196.60 apply zenon_H2d6. % 196.44/196.60 rewrite <- zenon_D_pnotp. % 196.44/196.60 exact zenon_H244. % 196.44/196.60 cut (((op2 (e21) (e22)) = (op2 (h8 (e12)) (h8 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H2d7]. % 196.44/196.60 cut (((h8 (e12)) = (h8 (op1 (e12) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H2d8]. % 196.44/196.60 congruence. % 196.44/196.60 elim (classic ((h8 (op1 (e12) (e10))) = (h8 (op1 (e12) (e10))))); [ zenon_intro zenon_H2d9 | zenon_intro zenon_H2da ]. % 196.44/196.60 cut (((h8 (op1 (e12) (e10))) = (h8 (op1 (e12) (e10)))) = ((h8 (e12)) = (h8 (op1 (e12) (e10))))). % 196.44/196.60 intro zenon_D_pnotp. % 196.44/196.60 apply zenon_H2d8. % 196.44/196.60 rewrite <- zenon_D_pnotp. % 196.44/196.60 exact zenon_H2d9. % 196.44/196.60 cut (((h8 (op1 (e12) (e10))) = (h8 (op1 (e12) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H2da]. % 196.44/196.60 cut (((h8 (op1 (e12) (e10))) = (h8 (e12)))); [idtac | apply NNPP; zenon_intro zenon_H2d4]. % 196.44/196.60 congruence. % 196.44/196.60 apply (zenon_L514_); trivial. % 196.44/196.60 apply zenon_H2da. apply refl_equal. % 196.44/196.60 apply zenon_H2da. apply refl_equal. % 196.44/196.60 elim (classic ((op2 (h8 (e12)) (h8 (e10))) = (op2 (h8 (e12)) (h8 (e10))))); [ zenon_intro zenon_H2db | zenon_intro zenon_H2dc ]. % 196.44/196.60 cut (((op2 (h8 (e12)) (h8 (e10))) = (op2 (h8 (e12)) (h8 (e10)))) = ((op2 (e21) (e22)) = (op2 (h8 (e12)) (h8 (e10))))). % 196.44/196.60 intro zenon_D_pnotp. % 196.44/196.60 apply zenon_H2d7. % 196.44/196.60 rewrite <- zenon_D_pnotp. % 196.44/196.60 exact zenon_H2db. % 196.44/196.60 cut (((op2 (h8 (e12)) (h8 (e10))) = (op2 (h8 (e12)) (h8 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H2dc]. % 196.44/196.60 cut (((op2 (h8 (e12)) (h8 (e10))) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H2dd]. % 196.44/196.60 congruence. % 196.44/196.60 cut (((op2 (e23) (e20)) = (e23)) = ((op2 (h8 (e12)) (h8 (e10))) = (op2 (e21) (e22)))). % 196.44/196.60 intro zenon_D_pnotp. % 196.44/196.60 apply zenon_H2dd. % 196.44/196.60 rewrite <- zenon_D_pnotp. % 196.44/196.60 exact zenon_H55. % 196.44/196.60 cut (((e23) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H253]. % 196.44/196.60 cut (((op2 (e23) (e20)) = (op2 (h8 (e12)) (h8 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H2de]. % 196.44/196.60 congruence. % 196.44/196.60 elim (classic ((op2 (h8 (e12)) (h8 (e10))) = (op2 (h8 (e12)) (h8 (e10))))); [ zenon_intro zenon_H2db | zenon_intro zenon_H2dc ]. % 196.44/196.60 cut (((op2 (h8 (e12)) (h8 (e10))) = (op2 (h8 (e12)) (h8 (e10)))) = ((op2 (e23) (e20)) = (op2 (h8 (e12)) (h8 (e10))))). % 196.44/196.60 intro zenon_D_pnotp. % 196.44/196.60 apply zenon_H2de. % 196.44/196.60 rewrite <- zenon_D_pnotp. % 196.44/196.60 exact zenon_H2db. % 196.44/196.60 cut (((op2 (h8 (e12)) (h8 (e10))) = (op2 (h8 (e12)) (h8 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H2dc]. % 196.44/196.60 cut (((op2 (h8 (e12)) (h8 (e10))) = (op2 (e23) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H2df]. % 196.44/196.60 congruence. % 196.44/196.60 cut (((h8 (e10)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_Hef]. % 196.44/196.60 cut (((h8 (e12)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H243]. % 196.44/196.60 congruence. % 196.44/196.60 apply (zenon_L358_); trivial. % 196.44/196.60 apply (zenon_L521_); trivial. % 196.44/196.60 apply zenon_H2dc. apply refl_equal. % 196.44/196.60 apply zenon_H2dc. apply refl_equal. % 196.44/196.60 apply zenon_H253. apply sym_equal. exact zenon_H245. % 196.44/196.60 apply zenon_H2dc. apply refl_equal. % 196.44/196.60 apply zenon_H2dc. apply refl_equal. % 196.44/196.60 (* end of lemma zenon_L522_ *) % 196.44/196.60 assert (zenon_L523_ : (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((h8 (e10)) = (op2 (e22) (e22))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((op2 (e21) (unit2)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((e20) = (e23))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (unit2) (e22)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((e20) = (op2 (e21) (e21))) -> ((op2 (unit2) (e20)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (unit2) (e23)) = (e23)) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((op2 (e22) (unit2)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (unit2) (e21)) = (e21)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> ((h8 (e12)) = (op2 (e21) (e22))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> ((op2 (e21) (e22)) = (e23)) -> ((op2 (e23) (e20)) = (e23)) -> (~((h8 (op1 (e12) (e10))) = (op2 (h8 (e12)) (h8 (e10))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e10)) = (e10)) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (unit1) (e12)) = (e12)) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> False). % 196.44/196.60 do 0 intro. intros zenon_H1a7 zenon_Hf0 zenon_H1ca zenon_Hdf zenon_Hd8 zenon_Hd4 zenon_Hce zenon_Hcf zenon_Hc1 zenon_H1d9 zenon_H1d4 zenon_H1cd zenon_H1d1 zenon_H234 zenon_H1de zenon_H22d zenon_Hbd zenon_H49 zenon_H40 zenon_H41 zenon_H37 zenon_H39 zenon_H2c zenon_H2a zenon_H29 zenon_H20 zenon_H22 zenon_Hb6 zenon_Haf zenon_Hb3 zenon_Hb5 zenon_Ha4 zenon_Ha3 zenon_Ha9 zenon_H5d zenon_H54 zenon_H56 zenon_H4d zenon_H67 zenon_H77 zenon_H76 zenon_H86 zenon_H9e zenon_H9f zenon_Hba zenon_H244 zenon_H248 zenon_H245 zenon_H55 zenon_H2d6 zenon_H1a3 zenon_H17e zenon_H104 zenon_H192 zenon_H14b zenon_H14c zenon_H143 zenon_H132 zenon_H133 zenon_H131 zenon_H173 zenon_H111 zenon_H18b zenon_H186 zenon_H185 zenon_H13a zenon_H18e zenon_H11a zenon_H127 zenon_H172 zenon_H13b zenon_H10f zenon_H15b zenon_H105 zenon_H120 zenon_H121. % 196.44/196.60 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H1a0 | zenon_intro zenon_H1a8 ]. % 196.44/196.60 apply (zenon_L522_); trivial. % 196.44/196.60 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H1a4 | zenon_intro zenon_H1a9 ]. % 196.44/196.60 apply (zenon_L162_); trivial. % 196.44/196.60 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_H15a | zenon_intro zenon_H187 ]. % 196.44/196.60 apply (zenon_L165_); trivial. % 196.44/196.60 apply (zenon_L149_); trivial. % 196.44/196.60 (* end of lemma zenon_L523_ *) % 196.44/196.60 assert (zenon_L524_ : (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((op2 (e21) (unit2)) = (e21)) -> ((op2 (e23) (e20)) = (e23)) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> ((op2 (e21) (e23)) = (e23)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> ((op2 (unit2) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e21)) = (e21)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((op2 (e22) (unit2)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (unit2) (e23)) = (e23)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((op2 (unit2) (e22)) = (e22)) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> False). % 196.44/196.60 do 0 intro. intros zenon_Hdf zenon_Hc1 zenon_Hd4 zenon_Hce zenon_Hcf zenon_H55 zenon_Hba zenon_H1d5 zenon_H1d4 zenon_Ha3 zenon_H29 zenon_H2c zenon_Ha9 zenon_H2a zenon_H39 zenon_H77 zenon_H76 zenon_H4d zenon_Hb6 zenon_H9f zenon_H56 zenon_Hb3 zenon_Ha4 zenon_Haf zenon_H20 zenon_Hb5 zenon_H5d zenon_H49 zenon_H9e zenon_H67 zenon_H54 zenon_H86 zenon_H37 zenon_H40 zenon_H41. % 196.44/196.60 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_Hc0 | zenon_intro zenon_He0 ]. % 196.44/196.60 apply (zenon_L218_); trivial. % 196.44/196.60 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hd0 | zenon_intro zenon_He1 ]. % 196.44/196.60 apply (zenon_L79_); trivial. % 196.44/196.60 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_H78 | zenon_intro zenon_Hdb ]. % 196.44/196.60 apply (zenon_L300_); trivial. % 196.44/196.60 apply (zenon_L356_); trivial. % 196.44/196.60 (* end of lemma zenon_L524_ *) % 196.44/196.60 assert (zenon_L525_ : (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e13) (e11))) -> ((op1 (unit1) (e12)) = (e12)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> ((op1 (unit1) (e10)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((h8 (op1 (e12) (e10))) = (op2 (h8 (e12)) (h8 (e10))))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> ((h8 (e12)) = (op2 (e21) (e22))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((e20) = (e23))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> ((h8 (e10)) = (op2 (e22) (e22))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((op2 (e21) (unit2)) = (e21)) -> ((op2 (e23) (e20)) = (e23)) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> ((op2 (unit2) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e21)) = (e21)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((op2 (e22) (unit2)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (unit2) (e23)) = (e23)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((op2 (unit2) (e22)) = (e22)) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> False). % 196.44/196.60 do 0 intro. intros zenon_H121 zenon_H120 zenon_H105 zenon_H15b zenon_H10f zenon_H13b zenon_H172 zenon_H127 zenon_H11a zenon_H18e zenon_H13a zenon_H185 zenon_H186 zenon_H18b zenon_H111 zenon_H173 zenon_H131 zenon_H133 zenon_H132 zenon_H143 zenon_H14c zenon_H14b zenon_H192 zenon_H104 zenon_H17e zenon_H1a3 zenon_H2d6 zenon_H248 zenon_H244 zenon_H22 zenon_Hbd zenon_H22d zenon_H1de zenon_H234 zenon_H1d1 zenon_H1cd zenon_H1d9 zenon_Hd8 zenon_H1ca zenon_Hf0 zenon_H1a7 zenon_Hdf zenon_Hc1 zenon_Hd4 zenon_Hce zenon_Hcf zenon_H55 zenon_Hba zenon_H1d4 zenon_Ha3 zenon_H29 zenon_H2c zenon_Ha9 zenon_H2a zenon_H39 zenon_H77 zenon_H76 zenon_H4d zenon_Hb6 zenon_H9f zenon_H56 zenon_Hb3 zenon_Ha4 zenon_Haf zenon_H20 zenon_Hb5 zenon_H5d zenon_H49 zenon_H9e zenon_H67 zenon_H54 zenon_H86 zenon_H37 zenon_H40 zenon_H41. % 196.44/196.60 apply (zenon_or_s _ _ zenon_H248); [ zenon_intro zenon_H22c | zenon_intro zenon_H249 ]. % 196.44/196.60 apply (zenon_L322_); trivial. % 196.44/196.60 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_H8d | zenon_intro zenon_H24a ]. % 196.44/196.60 apply (zenon_L65_); trivial. % 196.44/196.60 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_H245 | zenon_intro zenon_H1d5 ]. % 196.44/196.60 apply (zenon_L523_); trivial. % 196.44/196.60 apply (zenon_L524_); trivial. % 196.44/196.60 (* end of lemma zenon_L525_ *) % 196.44/196.60 assert (zenon_L526_ : (~((h8 (op1 (e12) (e11))) = (h8 (e13)))) -> ((op1 (e12) (e11)) = (e13)) -> False). % 196.44/196.60 do 0 intro. intros zenon_H2e0 zenon_H21d. % 196.44/196.60 cut (((op1 (e12) (e11)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H2e1]. % 196.44/196.60 congruence. % 196.44/196.60 exact (zenon_H2e1 zenon_H21d). % 196.44/196.60 (* end of lemma zenon_L526_ *) % 196.44/196.60 assert (zenon_L527_ : (~((h8 (op1 (e12) (e11))) = (op2 (h8 (e12)) (h8 (e11))))) -> ((h8 (e13)) = (e21)) -> ((op1 (e12) (e11)) = (e13)) -> ((op2 (e23) (e22)) = (e21)) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> ((op2 (e23) (e20)) = (e23)) -> ((h8 (e12)) = (op2 (e21) (e22))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e21)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((op2 (e22) (unit2)) = (e22)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((op2 (unit2) (e23)) = (e23)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (unit2) (e20)) = (e20)) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e22)) = (e22)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((e22) = (op2 (e23) (e21))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((e20) = (e23))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((op2 (e21) (unit2)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e22) (e20)) = (e22)) -> ((op2 (e21) (e23)) = (e22)) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> ((h8 (e11)) = (e22)) -> False). % 196.44/196.60 do 0 intro. intros zenon_H2e2 zenon_H27d zenon_H21d zenon_Hdb zenon_H248 zenon_H55 zenon_H244 zenon_Hba zenon_H9f zenon_H9e zenon_H86 zenon_H76 zenon_H77 zenon_H67 zenon_H4d zenon_H56 zenon_H54 zenon_H5d zenon_Ha9 zenon_Ha3 zenon_Ha4 zenon_Hb5 zenon_Hb3 zenon_Haf zenon_Hb6 zenon_H22 zenon_H20 zenon_H29 zenon_H2a zenon_H2c zenon_H39 zenon_H37 zenon_H41 zenon_H40 zenon_H49 zenon_Hbd zenon_H1de zenon_H22d zenon_H234 zenon_H1d1 zenon_H1cd zenon_H1d4 zenon_H1d9 zenon_Hc1 zenon_Hcf zenon_Hce zenon_Hd4 zenon_Hd8 zenon_H38 zenon_Haa zenon_Hdf zenon_H1ca zenon_H1fd. % 196.44/196.60 cut (((h8 (e13)) = (e21)) = ((h8 (op1 (e12) (e11))) = (op2 (h8 (e12)) (h8 (e11))))). % 196.44/196.60 intro zenon_D_pnotp. % 196.44/196.60 apply zenon_H2e2. % 196.44/196.60 rewrite <- zenon_D_pnotp. % 196.44/196.60 exact zenon_H27d. % 196.44/196.60 cut (((e21) = (op2 (h8 (e12)) (h8 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H2e3]. % 196.44/196.60 cut (((h8 (e13)) = (h8 (op1 (e12) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H2e4]. % 196.44/196.60 congruence. % 196.44/196.60 elim (classic ((h8 (op1 (e12) (e11))) = (h8 (op1 (e12) (e11))))); [ zenon_intro zenon_H2e5 | zenon_intro zenon_H2e6 ]. % 196.44/196.60 cut (((h8 (op1 (e12) (e11))) = (h8 (op1 (e12) (e11)))) = ((h8 (e13)) = (h8 (op1 (e12) (e11))))). % 196.44/196.60 intro zenon_D_pnotp. % 196.44/196.60 apply zenon_H2e4. % 196.44/196.60 rewrite <- zenon_D_pnotp. % 196.44/196.60 exact zenon_H2e5. % 196.44/196.60 cut (((h8 (op1 (e12) (e11))) = (h8 (op1 (e12) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H2e6]. % 196.44/196.60 cut (((h8 (op1 (e12) (e11))) = (h8 (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2e0]. % 196.44/196.60 congruence. % 196.44/196.60 apply (zenon_L526_); trivial. % 196.44/196.60 apply zenon_H2e6. apply refl_equal. % 196.44/196.60 apply zenon_H2e6. apply refl_equal. % 196.44/196.60 elim (classic ((op2 (h8 (e12)) (h8 (e11))) = (op2 (h8 (e12)) (h8 (e11))))); [ zenon_intro zenon_H2e7 | zenon_intro zenon_H2e8 ]. % 196.44/196.60 cut (((op2 (h8 (e12)) (h8 (e11))) = (op2 (h8 (e12)) (h8 (e11)))) = ((e21) = (op2 (h8 (e12)) (h8 (e11))))). % 196.44/196.60 intro zenon_D_pnotp. % 196.44/196.60 apply zenon_H2e3. % 196.44/196.60 rewrite <- zenon_D_pnotp. % 196.44/196.60 exact zenon_H2e7. % 196.44/196.60 cut (((op2 (h8 (e12)) (h8 (e11))) = (op2 (h8 (e12)) (h8 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H2e8]. % 196.44/196.60 cut (((op2 (h8 (e12)) (h8 (e11))) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H2e9]. % 196.44/196.60 congruence. % 196.44/196.60 cut (((op2 (e23) (e22)) = (e21)) = ((op2 (h8 (e12)) (h8 (e11))) = (e21))). % 196.44/196.60 intro zenon_D_pnotp. % 196.44/196.60 apply zenon_H2e9. % 196.44/196.60 rewrite <- zenon_D_pnotp. % 196.44/196.60 exact zenon_Hdb. % 196.44/196.60 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H74]. % 196.44/196.60 cut (((op2 (e23) (e22)) = (op2 (h8 (e12)) (h8 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H2ea]. % 196.44/196.60 congruence. % 196.44/196.60 elim (classic ((op2 (h8 (e12)) (h8 (e11))) = (op2 (h8 (e12)) (h8 (e11))))); [ zenon_intro zenon_H2e7 | zenon_intro zenon_H2e8 ]. % 196.44/196.60 cut (((op2 (h8 (e12)) (h8 (e11))) = (op2 (h8 (e12)) (h8 (e11)))) = ((op2 (e23) (e22)) = (op2 (h8 (e12)) (h8 (e11))))). % 196.44/196.60 intro zenon_D_pnotp. % 196.44/196.60 apply zenon_H2ea. % 196.44/196.60 rewrite <- zenon_D_pnotp. % 196.44/196.60 exact zenon_H2e7. % 196.44/196.60 cut (((op2 (h8 (e12)) (h8 (e11))) = (op2 (h8 (e12)) (h8 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H2e8]. % 196.44/196.60 cut (((op2 (h8 (e12)) (h8 (e11))) = (op2 (e23) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H2eb]. % 196.44/196.60 congruence. % 196.44/196.60 cut (((h8 (e11)) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H209]. % 196.44/196.60 cut (((h8 (e12)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H243]. % 196.44/196.60 congruence. % 196.44/196.60 apply (zenon_L503_); trivial. % 196.44/196.60 exact (zenon_H209 zenon_H1fd). % 196.44/196.60 apply zenon_H2e8. apply refl_equal. % 196.44/196.60 apply zenon_H2e8. apply refl_equal. % 196.44/196.60 apply zenon_H74. apply refl_equal. % 196.44/196.60 apply zenon_H2e8. apply refl_equal. % 196.44/196.60 apply zenon_H2e8. apply refl_equal. % 196.44/196.60 (* end of lemma zenon_L527_ *) % 196.44/196.60 assert (zenon_L528_ : (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e10)) = (e10)) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> ((op1 (e12) (e12)) = (e11)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e12) (e13)) = (e13)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (unit1) (e12)) = (e12)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> False). % 196.44/196.60 do 0 intro. intros zenon_H192 zenon_H143 zenon_H132 zenon_H133 zenon_H131 zenon_H104 zenon_H14b zenon_H14c zenon_H14d zenon_H17e zenon_H261 zenon_H262 zenon_H121 zenon_H105 zenon_H15b zenon_H10f zenon_H172 zenon_H127 zenon_H11a zenon_H18e zenon_H13a zenon_H185 zenon_H186 zenon_H18b zenon_H111 zenon_H173 zenon_H120 zenon_H13b. % 196.44/196.60 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H106 | zenon_intro zenon_H193 ]. % 196.44/196.60 apply (zenon_L134_); trivial. % 196.44/196.60 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H17f | zenon_intro zenon_H194 ]. % 196.44/196.60 apply (zenon_L369_); trivial. % 196.44/196.60 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H187 | zenon_intro zenon_H152 ]. % 196.44/196.60 apply (zenon_L149_); trivial. % 196.44/196.60 apply (zenon_L124_); trivial. % 196.44/196.60 (* end of lemma zenon_L528_ *) % 196.44/196.60 assert (zenon_L529_ : (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((e10) = (op1 (e11) (e11))) -> ((op1 (unit1) (e10)) = (e10)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> ((op1 (e12) (e12)) = (e11)) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((op1 (e10) (e11)) = (e13)) -> ((op1 (e12) (e13)) = (e11)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (unit1) (e12)) = (e12)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> False). % 196.44/196.60 do 0 intro. intros zenon_H192 zenon_H133 zenon_H132 zenon_H131 zenon_H104 zenon_H14d zenon_H14c zenon_H14b zenon_H17e zenon_H20f zenon_H20e zenon_H218 zenon_H121 zenon_H105 zenon_H15b zenon_H10f zenon_H172 zenon_H127 zenon_H11a zenon_H18e zenon_H13a zenon_H185 zenon_H186 zenon_H18b zenon_H111 zenon_H173 zenon_H120 zenon_H13b. % 196.44/196.60 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H106 | zenon_intro zenon_H193 ]. % 196.44/196.60 apply (zenon_L336_); trivial. % 196.44/196.60 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H17f | zenon_intro zenon_H194 ]. % 196.44/196.60 apply (zenon_L486_); trivial. % 196.44/196.60 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H187 | zenon_intro zenon_H152 ]. % 196.44/196.60 apply (zenon_L149_); trivial. % 196.44/196.60 apply (zenon_L124_); trivial. % 196.44/196.60 (* end of lemma zenon_L529_ *) % 196.44/196.60 assert (zenon_L530_ : (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e12) (e10)) = (e13)) -> ((op1 (unit1) (e13)) = (e13)) -> ((op1 (e13) (e12)) = (e13)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> False). % 196.44/196.60 do 0 intro. intros zenon_H127 zenon_H11a zenon_H10f zenon_H121 zenon_H185 zenon_H256 zenon_H13a zenon_H140 zenon_H15b. % 196.44/196.60 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H102 | zenon_intro zenon_H128 ]. % 196.44/196.60 apply (zenon_L117_); trivial. % 196.44/196.60 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H10d | zenon_intro zenon_H129 ]. % 196.44/196.60 apply (zenon_L118_); trivial. % 196.44/196.60 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H118 | zenon_intro zenon_H11f ]. % 196.44/196.60 apply (zenon_L360_); trivial. % 196.44/196.60 apply (zenon_L129_); trivial. % 196.44/196.60 (* end of lemma zenon_L530_ *) % 196.44/196.60 assert (zenon_L531_ : (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (e12) (e13)) = (e11)) -> ((op1 (e10) (e11)) = (e13)) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((op1 (e13) (e12)) = (e11)) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (e11) (e13)) = (e12)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (unit1) (e13)) = (e13)) -> ((op1 (e12) (e10)) = (e13)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (unit1) (e12)) = (e12)) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> False). % 196.44/196.60 do 0 intro. intros zenon_H173 zenon_H18b zenon_H218 zenon_H20e zenon_H20f zenon_H1b1 zenon_H14c zenon_H17e zenon_H17f zenon_H111 zenon_H13a zenon_H256 zenon_H185 zenon_H11a zenon_H127 zenon_H172 zenon_H13b zenon_H10f zenon_H15b zenon_H105 zenon_H120 zenon_H121. % 196.44/196.60 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H110 | zenon_intro zenon_H174 ]. % 196.44/196.60 apply (zenon_L283_); trivial. % 196.44/196.60 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H12b | zenon_intro zenon_H175 ]. % 196.44/196.60 apply (zenon_L172_); trivial. % 196.44/196.60 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H140 | zenon_intro zenon_H15c ]. % 196.44/196.60 apply (zenon_L530_); trivial. % 196.44/196.60 apply (zenon_L133_); trivial. % 196.44/196.60 (* end of lemma zenon_L531_ *) % 196.44/196.60 assert (zenon_L532_ : (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((e10) = (op1 (e11) (e11))) -> ((op1 (unit1) (e10)) = (e10)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> ((op1 (e12) (e10)) = (e13)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (unit1) (e11)) = (e11)) -> ((op1 (e13) (e12)) = (e11)) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((op1 (e10) (e11)) = (e13)) -> ((op1 (e12) (e13)) = (e11)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (unit1) (e12)) = (e12)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> False). % 196.44/196.60 do 0 intro. intros zenon_H192 zenon_H133 zenon_H132 zenon_H131 zenon_H104 zenon_H256 zenon_H17e zenon_H14c zenon_H1b1 zenon_H20f zenon_H20e zenon_H218 zenon_H121 zenon_H105 zenon_H15b zenon_H10f zenon_H172 zenon_H127 zenon_H11a zenon_H18e zenon_H13a zenon_H185 zenon_H186 zenon_H18b zenon_H111 zenon_H173 zenon_H120 zenon_H13b. % 196.44/196.60 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H106 | zenon_intro zenon_H193 ]. % 196.44/196.60 apply (zenon_L290_); trivial. % 196.44/196.60 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H17f | zenon_intro zenon_H194 ]. % 196.44/196.60 apply (zenon_L531_); trivial. % 196.44/196.60 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H187 | zenon_intro zenon_H152 ]. % 196.44/196.60 apply (zenon_L149_); trivial. % 196.44/196.60 apply (zenon_L124_); trivial. % 196.44/196.60 (* end of lemma zenon_L532_ *) % 196.44/196.60 assert (zenon_L533_ : (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (unit1) (e12)) = (e12)) -> ((op1 (e12) (e13)) = (e11)) -> ((op1 (e10) (e11)) = (e13)) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((h8 (e11)) = (e22)) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> ((op2 (e21) (e23)) = (e22)) -> ((op2 (e22) (e20)) = (e22)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((op2 (e21) (unit2)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((e20) = (e23))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (unit2) (e22)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((e20) = (op2 (e21) (e21))) -> ((op2 (unit2) (e20)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (unit2) (e23)) = (e23)) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((op2 (e22) (unit2)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (unit2) (e21)) = (e21)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> ((h8 (e12)) = (op2 (e21) (e22))) -> ((op2 (e23) (e20)) = (e23)) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> ((op2 (e23) (e22)) = (e21)) -> ((h8 (e13)) = (e21)) -> (~((h8 (op1 (e12) (e11))) = (op2 (h8 (e12)) (h8 (e11))))) -> ((op1 (e11) (e12)) = (e13)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e10)) = (e10)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> ((op1 (e13) (e12)) = (e11)) -> False). % 196.44/196.60 do 0 intro. intros zenon_H264 zenon_H173 zenon_H111 zenon_H18b zenon_H186 zenon_H185 zenon_H18e zenon_H11a zenon_H172 zenon_H105 zenon_H218 zenon_H20e zenon_H20f zenon_H17e zenon_H104 zenon_H192 zenon_H1fd zenon_H1ca zenon_Hdf zenon_Haa zenon_H38 zenon_Hd8 zenon_Hd4 zenon_Hce zenon_Hcf zenon_Hc1 zenon_H1d9 zenon_H1d4 zenon_H1cd zenon_H1d1 zenon_H234 zenon_H22d zenon_H1de zenon_Hbd zenon_H49 zenon_H40 zenon_H41 zenon_H37 zenon_H39 zenon_H2c zenon_H2a zenon_H29 zenon_H20 zenon_H22 zenon_Hb6 zenon_Haf zenon_Hb3 zenon_Hb5 zenon_Ha4 zenon_Ha3 zenon_Ha9 zenon_H5d zenon_H54 zenon_H56 zenon_H4d zenon_H67 zenon_H77 zenon_H76 zenon_H86 zenon_H9e zenon_H9f zenon_Hba zenon_H244 zenon_H55 zenon_H248 zenon_Hdb zenon_H27d zenon_H2e2 zenon_H25f zenon_H25e zenon_H127 zenon_H13a zenon_H261 zenon_H133 zenon_H131 zenon_H10f zenon_H15b zenon_H120 zenon_H13b zenon_H14b zenon_H143 zenon_H132 zenon_H121 zenon_H14c zenon_H1b1. % 196.44/196.60 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H256 | zenon_intro zenon_H265 ]. % 196.44/196.60 apply (zenon_L532_); trivial. % 196.44/196.60 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H21d | zenon_intro zenon_H266 ]. % 196.44/196.60 apply (zenon_L527_); trivial. % 196.44/196.60 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H163 | zenon_intro zenon_H262 ]. % 196.44/196.60 apply (zenon_L367_); trivial. % 196.44/196.60 apply (zenon_L392_); trivial. % 196.44/196.60 (* end of lemma zenon_L533_ *) % 196.44/196.60 assert (zenon_L534_ : (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((op1 (e11) (unit1)) = (e11)) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (unit1) (e12)) = (e12)) -> ((op1 (e12) (e13)) = (e11)) -> ((op1 (e10) (e11)) = (e13)) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((h8 (e11)) = (e22)) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> ((op2 (e21) (e23)) = (e22)) -> ((op2 (e22) (e20)) = (e22)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((op2 (e21) (unit2)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((e20) = (e23))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (unit2) (e22)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((e20) = (op2 (e21) (e21))) -> ((op2 (unit2) (e20)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (unit2) (e23)) = (e23)) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((op2 (e22) (unit2)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (unit2) (e21)) = (e21)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> ((h8 (e12)) = (op2 (e21) (e22))) -> ((op2 (e23) (e20)) = (e23)) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> ((op2 (e23) (e22)) = (e21)) -> ((h8 (e13)) = (e21)) -> (~((h8 (op1 (e12) (e11))) = (op2 (h8 (e12)) (h8 (e11))))) -> ((op1 (e11) (e12)) = (e13)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e10)) = (e10)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> False). % 196.44/196.60 do 0 intro. intros zenon_H1b5 zenon_H178 zenon_H1a3 zenon_H19c zenon_H196 zenon_H197 zenon_H1a7 zenon_H264 zenon_H173 zenon_H111 zenon_H18b zenon_H186 zenon_H185 zenon_H18e zenon_H11a zenon_H172 zenon_H105 zenon_H218 zenon_H20e zenon_H20f zenon_H17e zenon_H104 zenon_H192 zenon_H1fd zenon_H1ca zenon_Hdf zenon_Haa zenon_H38 zenon_Hd8 zenon_Hd4 zenon_Hce zenon_Hcf zenon_Hc1 zenon_H1d9 zenon_H1d4 zenon_H1cd zenon_H1d1 zenon_H234 zenon_H22d zenon_H1de zenon_Hbd zenon_H49 zenon_H40 zenon_H41 zenon_H37 zenon_H39 zenon_H2c zenon_H2a zenon_H29 zenon_H20 zenon_H22 zenon_Hb6 zenon_Haf zenon_Hb3 zenon_Hb5 zenon_Ha4 zenon_Ha3 zenon_Ha9 zenon_H5d zenon_H54 zenon_H56 zenon_H4d zenon_H67 zenon_H77 zenon_H76 zenon_H86 zenon_H9e zenon_H9f zenon_Hba zenon_H244 zenon_H55 zenon_H248 zenon_Hdb zenon_H27d zenon_H2e2 zenon_H25f zenon_H25e zenon_H127 zenon_H13a zenon_H261 zenon_H133 zenon_H131 zenon_H10f zenon_H15b zenon_H120 zenon_H13b zenon_H14b zenon_H143 zenon_H132 zenon_H121 zenon_H14c. % 196.44/196.60 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H177 | zenon_intro zenon_H1b6 ]. % 196.44/196.60 apply (zenon_L150_); trivial. % 196.44/196.60 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H198 | zenon_intro zenon_H1b7 ]. % 196.44/196.60 apply (zenon_L292_); trivial. % 196.44/196.60 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H14d | zenon_intro zenon_H1b1 ]. % 196.44/196.60 apply (zenon_L529_); trivial. % 196.44/196.60 apply (zenon_L533_); trivial. % 196.44/196.60 (* end of lemma zenon_L534_ *) % 196.44/196.60 assert (zenon_L535_ : (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op1 (e11) (e12)) = (e13)) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> ((op1 (unit1) (e12)) = (e12)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((op1 (e11) (unit1)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((e10) = (e13))) -> ((h8 (e11)) = (e22)) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> ((op2 (e21) (e23)) = (e22)) -> ((op2 (e22) (e20)) = (e22)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((op2 (e21) (unit2)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((e20) = (e23))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (unit2) (e22)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((e20) = (op2 (e21) (e21))) -> ((op2 (unit2) (e20)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (unit2) (e23)) = (e23)) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((op2 (e22) (unit2)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (unit2) (e21)) = (e21)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> ((h8 (e12)) = (op2 (e21) (e22))) -> ((op2 (e23) (e20)) = (e23)) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> ((op2 (e23) (e22)) = (e21)) -> ((h8 (e13)) = (e21)) -> (~((h8 (op1 (e12) (e11))) = (op2 (h8 (e12)) (h8 (e11))))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> ((op1 (unit1) (e10)) = (e10)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (e13) (unit1)) = (e13)) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> False). % 196.46/196.60 do 0 intro. intros zenon_H223 zenon_H14c zenon_H143 zenon_H14b zenon_H120 zenon_H15b zenon_H261 zenon_H25e zenon_H25f zenon_H192 zenon_H104 zenon_H17e zenon_H20f zenon_H105 zenon_H172 zenon_H11a zenon_H18e zenon_H185 zenon_H186 zenon_H18b zenon_H173 zenon_H264 zenon_H1a7 zenon_H197 zenon_H196 zenon_H19c zenon_H1a3 zenon_H178 zenon_H1b5 zenon_H259 zenon_H1f7 zenon_H1f4 zenon_H224 zenon_H21a zenon_H1fd zenon_H1ca zenon_Hdf zenon_Haa zenon_H38 zenon_Hd8 zenon_Hd4 zenon_Hce zenon_Hcf zenon_Hc1 zenon_H1d9 zenon_H1d4 zenon_H1cd zenon_H1d1 zenon_H234 zenon_H22d zenon_H1de zenon_Hbd zenon_H49 zenon_H40 zenon_H41 zenon_H37 zenon_H39 zenon_H2c zenon_H2a zenon_H29 zenon_H20 zenon_H22 zenon_Hb6 zenon_Haf zenon_Hb3 zenon_Hb5 zenon_Ha4 zenon_Ha3 zenon_Ha9 zenon_H5d zenon_H54 zenon_H56 zenon_H4d zenon_H67 zenon_H77 zenon_H76 zenon_H86 zenon_H9e zenon_H9f zenon_Hba zenon_H244 zenon_H55 zenon_H248 zenon_Hdb zenon_H27d zenon_H2e2 zenon_H127 zenon_H111 zenon_H133 zenon_H132 zenon_H131 zenon_H121 zenon_H10f zenon_H13a zenon_H13b. % 196.46/196.60 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H20e | zenon_intro zenon_H225 ]. % 196.46/196.60 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H226 ]. % 196.46/196.60 apply (zenon_L269_); trivial. % 196.46/196.60 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_H1f8 | zenon_intro zenon_H227 ]. % 196.46/196.60 apply (zenon_L349_); trivial. % 196.46/196.60 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H14d | zenon_intro zenon_H218 ]. % 196.46/196.60 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H256 | zenon_intro zenon_H265 ]. % 196.46/196.60 apply (zenon_L364_); trivial. % 196.46/196.60 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H21d | zenon_intro zenon_H266 ]. % 196.46/196.60 apply (zenon_L527_); trivial. % 196.46/196.60 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H163 | zenon_intro zenon_H262 ]. % 196.46/196.60 apply (zenon_L367_); trivial. % 196.46/196.60 apply (zenon_L528_); trivial. % 196.46/196.60 apply (zenon_L534_); trivial. % 196.46/196.60 apply (zenon_or_s _ _ zenon_H225); [ zenon_intro zenon_H162 | zenon_intro zenon_H228 ]. % 196.46/196.60 apply (zenon_L284_); trivial. % 196.46/196.60 apply (zenon_or_s _ _ zenon_H228); [ zenon_intro zenon_H21d | zenon_intro zenon_H12b ]. % 196.46/196.60 apply (zenon_L527_); trivial. % 196.46/196.60 apply (zenon_L116_); trivial. % 196.46/196.60 (* end of lemma zenon_L535_ *) % 196.46/196.60 assert (zenon_L536_ : (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((h8 (op1 (e12) (e11))) = (op2 (h8 (e12)) (h8 (e11))))) -> ((h8 (e13)) = (e21)) -> ((op2 (e23) (e22)) = (e21)) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> ((op2 (e23) (e20)) = (e23)) -> ((h8 (e12)) = (op2 (e21) (e22))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e21)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((op2 (e22) (unit2)) = (e22)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((op2 (unit2) (e23)) = (e23)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (unit2) (e20)) = (e20)) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e22)) = (e22)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((e22) = (op2 (e23) (e21))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((e20) = (e23))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((op2 (e21) (unit2)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e22) (e20)) = (e22)) -> ((op2 (e21) (e23)) = (e22)) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> ((h8 (e11)) = (e22)) -> (~((e10) = (e13))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((op1 (e11) (unit1)) = (e11)) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e10)) = (e10)) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (unit1) (e12)) = (e12)) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> False). % 196.46/196.60 do 0 intro. intros zenon_H26a zenon_H23e zenon_H237 zenon_H2e2 zenon_H27d zenon_Hdb zenon_H248 zenon_H55 zenon_H244 zenon_Hba zenon_H9f zenon_H9e zenon_H86 zenon_H76 zenon_H77 zenon_H67 zenon_H4d zenon_H56 zenon_H54 zenon_H5d zenon_Ha9 zenon_Ha3 zenon_Ha4 zenon_Hb5 zenon_Hb3 zenon_Haf zenon_Hb6 zenon_H22 zenon_H20 zenon_H29 zenon_H2a zenon_H2c zenon_H39 zenon_H37 zenon_H41 zenon_H40 zenon_H49 zenon_Hbd zenon_H1de zenon_H22d zenon_H234 zenon_H1d1 zenon_H1cd zenon_H1d4 zenon_H1d9 zenon_Hc1 zenon_Hcf zenon_Hce zenon_Hd4 zenon_Hd8 zenon_H38 zenon_Haa zenon_Hdf zenon_H1ca zenon_H1fd zenon_H21a zenon_H224 zenon_H1f4 zenon_H1f7 zenon_H259 zenon_H264 zenon_H20f zenon_H25e zenon_H261 zenon_H223 zenon_H1b5 zenon_H178 zenon_H19c zenon_H196 zenon_H197 zenon_H1a7 zenon_H267 zenon_H1a3 zenon_H17e zenon_H104 zenon_H192 zenon_H14b zenon_H14c zenon_H143 zenon_H132 zenon_H133 zenon_H131 zenon_H173 zenon_H111 zenon_H18b zenon_H186 zenon_H185 zenon_H13a zenon_H18e zenon_H11a zenon_H127 zenon_H172 zenon_H13b zenon_H10f zenon_H15b zenon_H105 zenon_H120 zenon_H121. % 196.46/196.60 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H236 | zenon_intro zenon_H26b ]. % 196.46/196.60 apply (zenon_L347_); trivial. % 196.46/196.60 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H162 | zenon_intro zenon_H26c ]. % 196.46/196.60 apply (zenon_L284_); trivial. % 196.46/196.60 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H25f | zenon_intro zenon_H268 ]. % 196.46/196.60 apply (zenon_L535_); trivial. % 196.46/196.60 apply (zenon_L397_); trivial. % 196.46/196.60 (* end of lemma zenon_L536_ *) % 196.46/196.60 assert (zenon_L537_ : ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((h8 (op1 (e12) (e11))) = (op2 (h8 (e12)) (h8 (e11))))) -> ((h8 (e13)) = (e21)) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> ((op2 (e23) (e20)) = (e23)) -> ((h8 (e12)) = (op2 (e21) (e22))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((op2 (e22) (unit2)) = (e22)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((op2 (unit2) (e23)) = (e23)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((e20) = (e23))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((op2 (e21) (unit2)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e22) (e20)) = (e22)) -> ((op2 (e21) (e23)) = (e22)) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> ((h8 (e11)) = (e22)) -> (~((e10) = (e13))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((op1 (e11) (unit1)) = (e11)) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e10)) = (e10)) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (unit1) (e12)) = (e12)) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> ((e20) = (op2 (e21) (e21))) -> ((op2 (unit2) (e20)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (e22) (e22)) = (e21)) -> ((op2 (unit2) (e21)) = (e21)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e22)) = (e22)) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> False). % 196.46/196.61 do 0 intro. intros zenon_H54 zenon_H5d zenon_H1c4 zenon_H26a zenon_H23e zenon_H237 zenon_H2e2 zenon_H27d zenon_H248 zenon_H55 zenon_H244 zenon_Hba zenon_H9f zenon_H9e zenon_H86 zenon_H67 zenon_H4d zenon_H56 zenon_Ha9 zenon_Ha3 zenon_Ha4 zenon_Hb5 zenon_Hb3 zenon_Haf zenon_Hb6 zenon_H22 zenon_H20 zenon_H39 zenon_H49 zenon_Hbd zenon_H1de zenon_H22d zenon_H234 zenon_H1d1 zenon_H1cd zenon_H1d4 zenon_H1d9 zenon_Hc1 zenon_Hcf zenon_Hce zenon_Hd4 zenon_Hd8 zenon_H38 zenon_Haa zenon_Hdf zenon_H1ca zenon_H1fd zenon_H21a zenon_H224 zenon_H1f4 zenon_H1f7 zenon_H259 zenon_H264 zenon_H20f zenon_H25e zenon_H261 zenon_H223 zenon_H1b5 zenon_H178 zenon_H19c zenon_H196 zenon_H197 zenon_H1a7 zenon_H267 zenon_H1a3 zenon_H17e zenon_H104 zenon_H192 zenon_H14b zenon_H14c zenon_H143 zenon_H132 zenon_H133 zenon_H131 zenon_H173 zenon_H111 zenon_H18b zenon_H186 zenon_H185 zenon_H13a zenon_H18e zenon_H11a zenon_H127 zenon_H172 zenon_H13b zenon_H10f zenon_H15b zenon_H105 zenon_H120 zenon_H121 zenon_Hea zenon_H1c7 zenon_H2c zenon_H2a zenon_H29 zenon_H78 zenon_H77 zenon_H76 zenon_H37 zenon_H40 zenon_H41. % 196.46/196.61 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H1e | zenon_intro zenon_H4a ]. % 196.46/196.61 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_He9 | zenon_intro zenon_H1c8 ]. % 196.46/196.61 apply (zenon_L93_); trivial. % 196.46/196.61 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_Hdb | zenon_intro zenon_H1c9 ]. % 196.46/196.61 apply (zenon_L536_); trivial. % 196.46/196.61 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H6c ]. % 196.46/196.61 apply (zenon_L195_); trivial. % 196.46/196.61 apply (zenon_L24_); trivial. % 196.46/196.61 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2b | zenon_intro zenon_H4b ]. % 196.46/196.61 apply (zenon_L5_); trivial. % 196.46/196.61 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H3f ]. % 196.46/196.61 apply (zenon_L30_); trivial. % 196.46/196.61 apply (zenon_L9_); trivial. % 196.46/196.61 (* end of lemma zenon_L537_ *) % 196.46/196.61 assert (zenon_L538_ : (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e13) (e11))) -> ((op1 (unit1) (e12)) = (e12)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> ((op1 (unit1) (e10)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((op1 (e11) (unit1)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((e10) = (e13))) -> ((h8 (e11)) = (e22)) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> ((op2 (e21) (e23)) = (e22)) -> ((op2 (e22) (e20)) = (e22)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((op2 (e21) (unit2)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((e20) = (e23))) -> ((e22) = (op2 (e23) (e21))) -> ((op2 (unit2) (e22)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((e20) = (op2 (e21) (e21))) -> ((op2 (unit2) (e20)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((op2 (e22) (unit2)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> ((op2 (unit2) (e21)) = (e21)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> ((h8 (e12)) = (op2 (e21) (e22))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> ((h8 (e13)) = (e21)) -> (~((h8 (op1 (e12) (e11))) = (op2 (h8 (e12)) (h8 (e11))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e20)) = (e23)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e23) (unit2)) = (e23)) -> ((op2 (unit2) (e23)) = (e23)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> False). % 196.46/196.61 do 0 intro. intros zenon_H121 zenon_H120 zenon_H105 zenon_H15b zenon_H10f zenon_H13b zenon_H172 zenon_H127 zenon_H11a zenon_H18e zenon_H13a zenon_H185 zenon_H186 zenon_H18b zenon_H111 zenon_H173 zenon_H131 zenon_H133 zenon_H132 zenon_H143 zenon_H14c zenon_H14b zenon_H192 zenon_H104 zenon_H17e zenon_H1a3 zenon_H267 zenon_H1a7 zenon_H197 zenon_H196 zenon_H19c zenon_H178 zenon_H1b5 zenon_H223 zenon_H261 zenon_H25e zenon_H20f zenon_H264 zenon_H259 zenon_H1f7 zenon_H1f4 zenon_H224 zenon_H21a zenon_H1fd zenon_H1ca zenon_Hdf zenon_Haa zenon_H38 zenon_Hd8 zenon_Hd4 zenon_Hce zenon_Hcf zenon_Hc1 zenon_H1d9 zenon_H1d4 zenon_H1cd zenon_H1d1 zenon_H234 zenon_H22d zenon_H1de zenon_Hbd zenon_H40 zenon_H37 zenon_H39 zenon_H2c zenon_H2a zenon_H29 zenon_H22 zenon_Hb6 zenon_Haf zenon_Hb3 zenon_Hb5 zenon_Ha4 zenon_Ha3 zenon_Ha9 zenon_H5d zenon_H4d zenon_H77 zenon_H76 zenon_H86 zenon_H9e zenon_H9f zenon_Hba zenon_H244 zenon_H248 zenon_H27d zenon_H2e2 zenon_H237 zenon_H23e zenon_H26a zenon_H1c4 zenon_Hea zenon_H1c7 zenon_H49 zenon_H56 zenon_H55 zenon_H41 zenon_H54 zenon_H20 zenon_H67. % 196.46/196.61 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H21 | zenon_intro zenon_H1cb ]. % 196.46/196.61 apply (zenon_L10_); trivial. % 196.46/196.61 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H8d | zenon_intro zenon_H1cc ]. % 196.46/196.61 apply (zenon_L65_); trivial. % 196.46/196.61 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H61 ]. % 196.46/196.61 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_Hc0 | zenon_intro zenon_He0 ]. % 196.46/196.61 apply (zenon_L71_); trivial. % 196.46/196.61 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hd0 | zenon_intro zenon_He1 ]. % 196.46/196.61 apply (zenon_L74_); trivial. % 196.46/196.61 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_H78 | zenon_intro zenon_Hdb ]. % 196.46/196.61 apply (zenon_L537_); trivial. % 196.46/196.61 apply (zenon_L536_); trivial. % 196.46/196.61 apply (zenon_L305_); trivial. % 196.46/196.61 (* end of lemma zenon_L538_ *) % 196.46/196.61 assert (zenon_L539_ : ((op2 (e23) (e20)) = (e23)) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((h8 (op1 (e12) (e11))) = (op2 (h8 (e12)) (h8 (e11))))) -> ((h8 (e13)) = (e21)) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> ((h8 (e12)) = (op2 (e21) (e22))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e21)) = (e21)) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (unit2) (e20)) = (e20)) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((e20) = (e23))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((op2 (e21) (unit2)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e22) (e20)) = (e22)) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> ((h8 (e11)) = (e22)) -> (~((e10) = (e13))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((op1 (e11) (unit1)) = (e11)) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e10)) = (e10)) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (unit1) (e12)) = (e12)) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (unit2) (e22)) = (e22)) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((op2 (unit2) (e23)) = (e23)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e22) (unit2)) = (e22)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> False). % 196.46/196.61 do 0 intro. intros zenon_H55 zenon_H1c7 zenon_Hea zenon_H1c4 zenon_H26a zenon_H23e zenon_H237 zenon_H2e2 zenon_H27d zenon_H248 zenon_H244 zenon_Hba zenon_H76 zenon_H77 zenon_H4d zenon_Ha9 zenon_Ha3 zenon_Hb6 zenon_H22 zenon_H29 zenon_H2a zenon_H2c zenon_H39 zenon_Hbd zenon_H1de zenon_H22d zenon_H234 zenon_H1d1 zenon_H1cd zenon_H1d4 zenon_H1d9 zenon_Hc1 zenon_Hcf zenon_Hce zenon_Hd4 zenon_Hd8 zenon_H38 zenon_Hdf zenon_H1ca zenon_H1fd zenon_H21a zenon_H224 zenon_H1f4 zenon_H1f7 zenon_H259 zenon_H264 zenon_H20f zenon_H25e zenon_H261 zenon_H223 zenon_H1b5 zenon_H178 zenon_H19c zenon_H196 zenon_H197 zenon_H1a7 zenon_H267 zenon_H1a3 zenon_H17e zenon_H104 zenon_H192 zenon_H14b zenon_H14c zenon_H143 zenon_H132 zenon_H133 zenon_H131 zenon_H173 zenon_H111 zenon_H18b zenon_H186 zenon_H185 zenon_H13a zenon_H18e zenon_H11a zenon_H127 zenon_H172 zenon_H13b zenon_H10f zenon_H15b zenon_H105 zenon_H120 zenon_H121 zenon_H41 zenon_H37 zenon_H86 zenon_H54 zenon_H9e zenon_H49 zenon_H5d zenon_Hb5 zenon_H20 zenon_Haf zenon_Ha4 zenon_Hb3 zenon_H56 zenon_H9f zenon_H40 zenon_H67. % 196.46/196.61 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_H4e | zenon_intro zenon_Hb7 ]. % 196.46/196.61 apply (zenon_L41_); trivial. % 196.46/196.61 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_Haa | zenon_intro zenon_Hb8 ]. % 196.46/196.61 apply (zenon_L538_); trivial. % 196.46/196.61 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H7d ]. % 196.46/196.61 apply (zenon_L55_); trivial. % 196.46/196.61 apply (zenon_L31_); trivial. % 196.46/196.61 (* end of lemma zenon_L539_ *) % 196.46/196.61 assert (zenon_L540_ : (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((op2 (e22) (unit2)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e13) (e11))) -> ((op1 (unit1) (e12)) = (e12)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> ((op1 (unit1) (e10)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((op1 (e11) (unit1)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((e10) = (e13))) -> ((h8 (e11)) = (e22)) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> ((op2 (e22) (e20)) = (e22)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((op2 (e21) (unit2)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((e20) = (e23))) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> ((h8 (e12)) = (op2 (e21) (e22))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> ((h8 (e13)) = (e21)) -> (~((h8 (op1 (e12) (e11))) = (op2 (h8 (e12)) (h8 (e11))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> ((op2 (e21) (e23)) = (e22)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (unit2) (e23)) = (e23)) -> ((op2 (unit2) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e21)) = (e21)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((op2 (unit2) (e22)) = (e22)) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> False). % 196.46/196.61 do 0 intro. intros zenon_H9f zenon_Hb3 zenon_Ha4 zenon_Haf zenon_Hb5 zenon_H121 zenon_H120 zenon_H105 zenon_H15b zenon_H10f zenon_H13b zenon_H172 zenon_H127 zenon_H11a zenon_H18e zenon_H13a zenon_H185 zenon_H186 zenon_H18b zenon_H111 zenon_H173 zenon_H131 zenon_H133 zenon_H132 zenon_H143 zenon_H14c zenon_H14b zenon_H192 zenon_H104 zenon_H17e zenon_H1a3 zenon_H267 zenon_H1a7 zenon_H197 zenon_H196 zenon_H19c zenon_H178 zenon_H1b5 zenon_H223 zenon_H261 zenon_H25e zenon_H20f zenon_H264 zenon_H259 zenon_H1f7 zenon_H1f4 zenon_H224 zenon_H21a zenon_H1fd zenon_H1ca zenon_Hdf zenon_H38 zenon_Hd8 zenon_Hd4 zenon_Hce zenon_Hcf zenon_Hc1 zenon_H1d9 zenon_H1d4 zenon_H1cd zenon_H1d1 zenon_H234 zenon_H22d zenon_H1de zenon_Hbd zenon_H2c zenon_H29 zenon_H22 zenon_Hb6 zenon_Ha3 zenon_H4d zenon_Hba zenon_H244 zenon_H248 zenon_H27d zenon_H2e2 zenon_H237 zenon_H23e zenon_H26a zenon_H1c4 zenon_Hea zenon_H1c7 zenon_Ha9 zenon_Haa zenon_H56 zenon_H20 zenon_H2a zenon_H39 zenon_H77 zenon_H76 zenon_H5d zenon_H49 zenon_H9e zenon_H67 zenon_H54 zenon_H86 zenon_H37 zenon_H40 zenon_H41. % 196.46/196.61 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H55 | zenon_intro zenon_Ha0 ]. % 196.46/196.61 apply (zenon_L539_); trivial. % 196.46/196.61 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_H61 | zenon_intro zenon_Ha1 ]. % 196.46/196.61 apply (zenon_L47_); trivial. % 196.46/196.61 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H6c | zenon_intro zenon_H87 ]. % 196.46/196.61 apply (zenon_L37_); trivial. % 196.46/196.61 apply (zenon_L40_); trivial. % 196.46/196.61 (* end of lemma zenon_L540_ *) % 196.46/196.61 assert (zenon_L541_ : (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e21)) = (e21)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e20)) = (e20)) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (((op2 (e23) (e22)) = (e20))\/(((op2 (e23) (e22)) = (e21))\/(((op2 (e23) (e22)) = (e22))\/((op2 (e23) (e22)) = (e23))))) -> (~((op2 (e22) (e22)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e23) (e22)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((h8 (op1 (e12) (e11))) = (op2 (h8 (e12)) (h8 (e11))))) -> ((h8 (e13)) = (e21)) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> ((h8 (e12)) = (op2 (e21) (e22))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> (~((e20) = (e23))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((op2 (e21) (unit2)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e22) (e20)) = (e22)) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> ((h8 (e11)) = (e22)) -> (~((e10) = (e13))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((op1 (e11) (unit1)) = (e11)) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e10)) = (e10)) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (unit1) (e12)) = (e12)) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (unit2) (e22)) = (e22)) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((op2 (unit2) (e23)) = (e23)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e22) (unit2)) = (e22)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> False). % 196.46/196.61 do 0 intro. intros zenon_H76 zenon_H77 zenon_H39 zenon_H2a zenon_Ha9 zenon_H1c7 zenon_Hea zenon_H1c4 zenon_H26a zenon_H23e zenon_H237 zenon_H2e2 zenon_H27d zenon_H248 zenon_H244 zenon_Hba zenon_H4d zenon_Ha3 zenon_Hb6 zenon_H22 zenon_H29 zenon_H2c zenon_Hbd zenon_H1de zenon_H22d zenon_H234 zenon_H1d1 zenon_H1cd zenon_H1d4 zenon_H1d9 zenon_Hc1 zenon_Hcf zenon_Hce zenon_Hd4 zenon_Hd8 zenon_H38 zenon_Hdf zenon_H1ca zenon_H1fd zenon_H21a zenon_H224 zenon_H1f4 zenon_H1f7 zenon_H259 zenon_H264 zenon_H20f zenon_H25e zenon_H261 zenon_H223 zenon_H1b5 zenon_H178 zenon_H19c zenon_H196 zenon_H197 zenon_H1a7 zenon_H267 zenon_H1a3 zenon_H17e zenon_H104 zenon_H192 zenon_H14b zenon_H14c zenon_H143 zenon_H132 zenon_H133 zenon_H131 zenon_H173 zenon_H111 zenon_H18b zenon_H186 zenon_H185 zenon_H13a zenon_H18e zenon_H11a zenon_H127 zenon_H172 zenon_H13b zenon_H10f zenon_H15b zenon_H105 zenon_H120 zenon_H121 zenon_H41 zenon_H37 zenon_H86 zenon_H54 zenon_H9e zenon_H49 zenon_H5d zenon_Hb5 zenon_H20 zenon_Haf zenon_Ha4 zenon_Hb3 zenon_H56 zenon_H9f zenon_H40 zenon_H67. % 196.46/196.61 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_H4e | zenon_intro zenon_Hb7 ]. % 196.46/196.61 apply (zenon_L41_); trivial. % 196.46/196.61 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_Haa | zenon_intro zenon_Hb8 ]. % 196.46/196.61 apply (zenon_L540_); trivial. % 196.46/196.61 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H7d ]. % 196.46/196.61 apply (zenon_L55_); trivial. % 196.46/196.61 apply (zenon_L31_); trivial. % 196.46/196.61 (* end of lemma zenon_L541_ *) % 196.46/196.61 assert (zenon_L542_ : (~((h8 (op1 (e12) (e12))) = (h8 (e10)))) -> ((op1 (e12) (e12)) = (e10)) -> False). % 196.46/196.61 do 0 intro. intros zenon_H2ec zenon_H144. % 196.46/196.61 cut (((op1 (e12) (e12)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H2ed]. % 196.46/196.61 congruence. % 196.46/196.61 exact (zenon_H2ed zenon_H144). % 196.46/196.61 (* end of lemma zenon_L542_ *) % 196.46/196.61 assert (zenon_L543_ : (~((h8 (op1 (e12) (e12))) = (op2 (h8 (e12)) (h8 (e12))))) -> ((h8 (e10)) = (op2 (e22) (e22))) -> ((op1 (e12) (e12)) = (e10)) -> ((op2 (e23) (e23)) = (e20)) -> ((op2 (e22) (e22)) = (e20)) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> ((h8 (e12)) = (op2 (e21) (e22))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e21)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((op2 (e22) (unit2)) = (e22)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((op2 (unit2) (e23)) = (e23)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (unit2) (e20)) = (e20)) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e22)) = (e22)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((e22) = (op2 (e23) (e21))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((e20) = (e23))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((op2 (e21) (unit2)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> False). % 196.46/196.61 do 0 intro. intros zenon_H2ee zenon_Hf0 zenon_H144 zenon_H95 zenon_H6f zenon_H248 zenon_H244 zenon_Hba zenon_H9f zenon_H9e zenon_H86 zenon_H76 zenon_H77 zenon_H67 zenon_H4d zenon_H56 zenon_H54 zenon_H5d zenon_Ha9 zenon_Ha3 zenon_Ha4 zenon_Hb5 zenon_Hb3 zenon_Haf zenon_Hb6 zenon_H22 zenon_H20 zenon_H29 zenon_H2a zenon_H2c zenon_H39 zenon_H37 zenon_H41 zenon_H40 zenon_H49 zenon_Hbd zenon_H22d zenon_H1de zenon_H234 zenon_H1d1 zenon_H1cd zenon_H1d4 zenon_H1d9 zenon_Hc1 zenon_Hcf zenon_Hce zenon_Hd4 zenon_Hd8 zenon_Hdf zenon_H1ca. % 196.46/196.61 cut (((h8 (e10)) = (op2 (e22) (e22))) = ((h8 (op1 (e12) (e12))) = (op2 (h8 (e12)) (h8 (e12))))). % 196.46/196.61 intro zenon_D_pnotp. % 196.46/196.61 apply zenon_H2ee. % 196.46/196.61 rewrite <- zenon_D_pnotp. % 196.46/196.61 exact zenon_Hf0. % 196.46/196.61 cut (((op2 (e22) (e22)) = (op2 (h8 (e12)) (h8 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H2ef]. % 196.46/196.61 cut (((h8 (e10)) = (h8 (op1 (e12) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H2f0]. % 196.46/196.61 congruence. % 196.46/196.61 elim (classic ((h8 (op1 (e12) (e12))) = (h8 (op1 (e12) (e12))))); [ zenon_intro zenon_H2f1 | zenon_intro zenon_H2f2 ]. % 196.46/196.61 cut (((h8 (op1 (e12) (e12))) = (h8 (op1 (e12) (e12)))) = ((h8 (e10)) = (h8 (op1 (e12) (e12))))). % 196.46/196.61 intro zenon_D_pnotp. % 196.46/196.61 apply zenon_H2f0. % 196.46/196.61 rewrite <- zenon_D_pnotp. % 196.46/196.61 exact zenon_H2f1. % 196.46/196.61 cut (((h8 (op1 (e12) (e12))) = (h8 (op1 (e12) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H2f2]. % 196.46/196.61 cut (((h8 (op1 (e12) (e12))) = (h8 (e10)))); [idtac | apply NNPP; zenon_intro zenon_H2ec]. % 196.46/196.61 congruence. % 196.46/196.61 apply (zenon_L542_); trivial. % 196.46/196.61 apply zenon_H2f2. apply refl_equal. % 196.46/196.61 apply zenon_H2f2. apply refl_equal. % 196.46/196.61 elim (classic ((op2 (h8 (e12)) (h8 (e12))) = (op2 (h8 (e12)) (h8 (e12))))); [ zenon_intro zenon_H2f3 | zenon_intro zenon_H2f4 ]. % 196.46/196.61 cut (((op2 (h8 (e12)) (h8 (e12))) = (op2 (h8 (e12)) (h8 (e12)))) = ((op2 (e22) (e22)) = (op2 (h8 (e12)) (h8 (e12))))). % 196.46/196.61 intro zenon_D_pnotp. % 196.46/196.61 apply zenon_H2ef. % 196.46/196.61 rewrite <- zenon_D_pnotp. % 196.46/196.61 exact zenon_H2f3. % 196.46/196.61 cut (((op2 (h8 (e12)) (h8 (e12))) = (op2 (h8 (e12)) (h8 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H2f4]. % 196.46/196.61 cut (((op2 (h8 (e12)) (h8 (e12))) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H2f5]. % 196.46/196.61 congruence. % 196.46/196.61 cut (((op2 (e23) (e23)) = (e20)) = ((op2 (h8 (e12)) (h8 (e12))) = (op2 (e22) (e22)))). % 196.46/196.61 intro zenon_D_pnotp. % 196.46/196.61 apply zenon_H2f5. % 196.46/196.61 rewrite <- zenon_D_pnotp. % 196.46/196.61 exact zenon_H95. % 196.46/196.61 cut (((e20) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H70]. % 196.46/196.61 cut (((op2 (e23) (e23)) = (op2 (h8 (e12)) (h8 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H2f6]. % 196.46/196.61 congruence. % 196.46/196.61 elim (classic ((op2 (h8 (e12)) (h8 (e12))) = (op2 (h8 (e12)) (h8 (e12))))); [ zenon_intro zenon_H2f3 | zenon_intro zenon_H2f4 ]. % 196.46/196.61 cut (((op2 (h8 (e12)) (h8 (e12))) = (op2 (h8 (e12)) (h8 (e12)))) = ((op2 (e23) (e23)) = (op2 (h8 (e12)) (h8 (e12))))). % 196.46/196.61 intro zenon_D_pnotp. % 196.46/196.61 apply zenon_H2f6. % 196.46/196.61 rewrite <- zenon_D_pnotp. % 196.46/196.61 exact zenon_H2f3. % 196.46/196.61 cut (((op2 (h8 (e12)) (h8 (e12))) = (op2 (h8 (e12)) (h8 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H2f4]. % 196.46/196.61 cut (((op2 (h8 (e12)) (h8 (e12))) = (op2 (e23) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H2f7]. % 196.46/196.61 congruence. % 196.46/196.61 cut (((h8 (e12)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H243]. % 196.46/196.61 cut (((h8 (e12)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H243]. % 196.46/196.61 congruence. % 196.46/196.61 apply (zenon_L358_); trivial. % 196.46/196.61 apply (zenon_L358_); trivial. % 196.46/196.61 apply zenon_H2f4. apply refl_equal. % 196.46/196.61 apply zenon_H2f4. apply refl_equal. % 196.46/196.61 apply zenon_H70. apply sym_equal. exact zenon_H6f. % 196.46/196.61 apply zenon_H2f4. apply refl_equal. % 196.46/196.61 apply zenon_H2f4. apply refl_equal. % 196.46/196.61 (* end of lemma zenon_L543_ *) % 196.46/196.61 assert (zenon_L544_ : (((op1 (e10) (e10)) = (e10))/\(((op1 (e11) (e11)) = (e10))/\(((op1 (e12) (e12)) = (e10))/\((op1 (e13) (e13)) = (e10))))) -> (~((h8 (op1 (e12) (e12))) = (op2 (h8 (e12)) (h8 (e12))))) -> ((h8 (e10)) = (op2 (e22) (e22))) -> ((op2 (e23) (e23)) = (e20)) -> ((op2 (e22) (e22)) = (e20)) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> ((h8 (e12)) = (op2 (e21) (e22))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e21)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((op2 (e22) (unit2)) = (e22)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((op2 (unit2) (e23)) = (e23)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (unit2) (e20)) = (e20)) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e22)) = (e22)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((e22) = (op2 (e23) (e21))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((e20) = (e23))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((op2 (e21) (unit2)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> False). % 196.46/196.61 do 0 intro. intros zenon_H165 zenon_H2ee zenon_Hf0 zenon_H95 zenon_H6f zenon_H248 zenon_H244 zenon_Hba zenon_H9f zenon_H9e zenon_H86 zenon_H76 zenon_H77 zenon_H67 zenon_H4d zenon_H56 zenon_H54 zenon_H5d zenon_Ha9 zenon_Ha3 zenon_Ha4 zenon_Hb5 zenon_Hb3 zenon_Haf zenon_Hb6 zenon_H22 zenon_H20 zenon_H29 zenon_H2a zenon_H2c zenon_H39 zenon_H37 zenon_H41 zenon_H40 zenon_H49 zenon_Hbd zenon_H22d zenon_H1de zenon_H234 zenon_H1d1 zenon_H1cd zenon_H1d4 zenon_H1d9 zenon_Hc1 zenon_Hcf zenon_Hce zenon_Hd4 zenon_Hd8 zenon_Hdf zenon_H1ca. % 196.46/196.61 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_Hf4. zenon_intro zenon_H166. % 196.46/196.61 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H168. zenon_intro zenon_H167. % 196.46/196.61 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H144. zenon_intro zenon_H169. % 196.46/196.61 apply (zenon_L543_); trivial. % 196.46/196.61 (* end of lemma zenon_L544_ *) % 196.46/196.61 assert (zenon_L545_ : (((op2 (e20) (e20)) = (e20))/\(((op2 (e21) (e21)) = (e20))/\(((op2 (e22) (e22)) = (e20))/\((op2 (e23) (e23)) = (e20))))) -> (((op1 (e10) (e10)) = (e10))/\(((op1 (e11) (e11)) = (e10))/\(((op1 (e12) (e12)) = (e10))/\((op1 (e13) (e13)) = (e10))))) -> (~((h8 (op1 (e12) (e12))) = (op2 (h8 (e12)) (h8 (e12))))) -> ((h8 (e10)) = (op2 (e22) (e22))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> ((h8 (e12)) = (op2 (e21) (e22))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e21)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((op2 (e22) (unit2)) = (e22)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((op2 (unit2) (e23)) = (e23)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (unit2) (e20)) = (e20)) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e22)) = (e22)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((e22) = (op2 (e23) (e21))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((e20) = (e23))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((op2 (e21) (unit2)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> False). % 196.46/196.61 do 0 intro. intros zenon_H90 zenon_H165 zenon_H2ee zenon_Hf0 zenon_H248 zenon_H244 zenon_Hba zenon_H9f zenon_H9e zenon_H86 zenon_H76 zenon_H77 zenon_H67 zenon_H4d zenon_H56 zenon_H54 zenon_H5d zenon_Ha9 zenon_Ha3 zenon_Ha4 zenon_Hb5 zenon_Hb3 zenon_Haf zenon_Hb6 zenon_H22 zenon_H20 zenon_H29 zenon_H2a zenon_H2c zenon_H39 zenon_H37 zenon_H41 zenon_H40 zenon_H49 zenon_Hbd zenon_H22d zenon_H1de zenon_H234 zenon_H1d1 zenon_H1cd zenon_H1d4 zenon_H1d9 zenon_Hc1 zenon_Hcf zenon_Hce zenon_Hd4 zenon_Hd8 zenon_Hdf zenon_H1ca. % 196.46/196.61 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H92. zenon_intro zenon_H91. % 196.46/196.61 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H94. zenon_intro zenon_H93. % 196.46/196.61 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_H6f. zenon_intro zenon_H95. % 196.46/196.61 apply (zenon_L544_); trivial. % 196.46/196.61 (* end of lemma zenon_L545_ *) % 196.46/196.61 assert (zenon_L546_ : ((unit2) = (e20)) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (e21) (unit2)) = (e21)) -> (~((h8 (op1 (e12) (e12))) = (op2 (h8 (e12)) (h8 (e12))))) -> ((h8 (e10)) = (op2 (e22) (e22))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> ((h8 (e12)) = (op2 (e21) (e22))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e21)) = (e21)) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((op2 (e22) (unit2)) = (e22)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((op2 (unit2) (e23)) = (e23)) -> ((op2 (unit2) (e20)) = (e20)) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e22)) = (e22)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((e20) = (e23))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> ((op1 (e11) (unit1)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> ((unit1) = (e10)) -> False). % 196.46/196.61 do 0 intro. intros zenon_H1e zenon_H54 zenon_H9e zenon_H40 zenon_H67 zenon_H29 zenon_Hcf zenon_H2ee zenon_Hf0 zenon_H248 zenon_H244 zenon_Hba zenon_H9f zenon_H86 zenon_H76 zenon_H77 zenon_H4d zenon_H56 zenon_H5d zenon_Ha9 zenon_Ha3 zenon_Ha4 zenon_Hb5 zenon_Hb3 zenon_Haf zenon_Hb6 zenon_H22 zenon_H20 zenon_H2a zenon_H2c zenon_H39 zenon_H37 zenon_H41 zenon_H49 zenon_Hbd zenon_H22d zenon_H1de zenon_H234 zenon_H1d1 zenon_H1cd zenon_H1d4 zenon_H1d9 zenon_Hc1 zenon_Hce zenon_Hd4 zenon_Hd8 zenon_Hdf zenon_H1ca zenon_H197 zenon_H131 zenon_H186 zenon_H143 zenon_H172 zenon_H10f zenon_H102. % 196.46/196.61 apply (zenon_or_s _ _ ax12); [ zenon_intro zenon_H165 | zenon_intro zenon_H164 ]. % 196.46/196.61 apply (zenon_or_s _ _ ax13); [ zenon_intro zenon_H90 | zenon_intro zenon_H8f ]. % 196.46/196.61 apply (zenon_L545_); trivial. % 196.46/196.61 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H97 | zenon_intro zenon_H96 ]. % 196.46/196.61 apply (zenon_L91_); trivial. % 196.46/196.61 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H80 | zenon_intro zenon_H89 ]. % 196.46/196.61 apply (zenon_L32_); trivial. % 196.46/196.61 apply (zenon_L92_); trivial. % 196.46/196.61 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H16b | zenon_intro zenon_H16a ]. % 196.46/196.61 apply (zenon_L417_); trivial. % 196.46/196.61 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H155 | zenon_intro zenon_H15e ]. % 196.46/196.61 apply (zenon_L422_); trivial. % 196.46/196.61 apply (zenon_L418_); trivial. % 196.46/196.61 (* end of lemma zenon_L546_ *) % 196.46/196.61 assert (zenon_L547_ : (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((op1 (e11) (unit1)) = (e11)) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((e20) = (e23))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (unit2) (e22)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((e20) = (op2 (e21) (e21))) -> ((op2 (unit2) (e20)) = (e20)) -> ((op2 (unit2) (e23)) = (e23)) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((op2 (e22) (unit2)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> ((op2 (unit2) (e21)) = (e21)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> ((h8 (e12)) = (op2 (e21) (e22))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> ((h8 (e10)) = (op2 (e22) (e22))) -> (~((h8 (op1 (e12) (e12))) = (op2 (h8 (e12)) (h8 (e12))))) -> ((op2 (e21) (unit2)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (e23) (unit2)) = (e23)) -> ((unit2) = (e20)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e13) (e10)) = (e13)) -> ((op1 (e13) (unit1)) = (e13)) -> ((op1 (e12) (e12)) = (e11)) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e12)) = (e12)) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> False). % 196.46/196.61 do 0 intro. intros zenon_H127 zenon_H172 zenon_H143 zenon_H186 zenon_H131 zenon_H197 zenon_H1ca zenon_Hdf zenon_Hd8 zenon_Hd4 zenon_Hce zenon_Hc1 zenon_H1d9 zenon_H1d4 zenon_H1cd zenon_H1d1 zenon_H234 zenon_H1de zenon_H22d zenon_Hbd zenon_H49 zenon_H41 zenon_H37 zenon_H39 zenon_H2c zenon_H2a zenon_H20 zenon_H22 zenon_Hb6 zenon_Haf zenon_Hb3 zenon_Hb5 zenon_Ha4 zenon_Ha3 zenon_Ha9 zenon_H5d zenon_H56 zenon_H4d zenon_H77 zenon_H76 zenon_H86 zenon_H9f zenon_Hba zenon_H244 zenon_H248 zenon_Hf0 zenon_H2ee zenon_Hcf zenon_H29 zenon_H67 zenon_H40 zenon_H9e zenon_H54 zenon_H1e zenon_H111 zenon_H110 zenon_H10f zenon_H14d zenon_H14c zenon_H14b zenon_H105 zenon_H120 zenon_H121. % 196.46/196.61 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H102 | zenon_intro zenon_H128 ]. % 196.46/196.61 apply (zenon_L546_); trivial. % 196.46/196.61 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H10d | zenon_intro zenon_H129 ]. % 196.46/196.61 apply (zenon_L104_); trivial. % 196.46/196.61 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H118 | zenon_intro zenon_H11f ]. % 196.46/196.61 apply (zenon_L123_); trivial. % 196.46/196.61 apply (zenon_L107_); trivial. % 196.46/196.61 (* end of lemma zenon_L547_ *) % 196.46/196.61 assert (zenon_L548_ : (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((op1 (e11) (unit1)) = (e11)) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((e20) = (e23))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (unit2) (e22)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((e20) = (op2 (e21) (e21))) -> ((op2 (unit2) (e20)) = (e20)) -> ((op2 (unit2) (e23)) = (e23)) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((op2 (e22) (unit2)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> ((op2 (unit2) (e21)) = (e21)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> ((h8 (e12)) = (op2 (e21) (e22))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> ((h8 (e10)) = (op2 (e22) (e22))) -> (~((h8 (op1 (e12) (e12))) = (op2 (h8 (e12)) (h8 (e12))))) -> ((op2 (e21) (unit2)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (e23) (unit2)) = (e23)) -> ((unit2) = (e20)) -> ((op1 (e11) (e13)) = (e12)) -> ((op1 (unit1) (e12)) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (e12) (e13)) = (e11)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> ((op1 (e13) (e12)) = (e11)) -> False). % 196.46/196.61 do 0 intro. intros zenon_H127 zenon_H10f zenon_H172 zenon_H143 zenon_H186 zenon_H131 zenon_H197 zenon_H1ca zenon_Hdf zenon_Hd8 zenon_Hd4 zenon_Hce zenon_Hc1 zenon_H1d9 zenon_H1d4 zenon_H1cd zenon_H1d1 zenon_H234 zenon_H1de zenon_H22d zenon_Hbd zenon_H49 zenon_H41 zenon_H37 zenon_H39 zenon_H2c zenon_H2a zenon_H20 zenon_H22 zenon_Hb6 zenon_Haf zenon_Hb3 zenon_Hb5 zenon_Ha4 zenon_Ha3 zenon_Ha9 zenon_H5d zenon_H56 zenon_H4d zenon_H77 zenon_H76 zenon_H86 zenon_H9f zenon_Hba zenon_H244 zenon_H248 zenon_Hf0 zenon_H2ee zenon_Hcf zenon_H29 zenon_H67 zenon_H40 zenon_H9e zenon_H54 zenon_H1e zenon_H17f zenon_H105 zenon_H17e zenon_H218 zenon_H18b zenon_H121 zenon_H14c zenon_H1b1. % 196.46/196.61 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H102 | zenon_intro zenon_H128 ]. % 196.46/196.61 apply (zenon_L546_); trivial. % 196.46/196.61 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H10d | zenon_intro zenon_H129 ]. % 196.46/196.61 apply (zenon_L138_); trivial. % 196.46/196.61 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H118 | zenon_intro zenon_H11f ]. % 196.46/196.61 apply (zenon_L282_); trivial. % 196.46/196.61 apply (zenon_L170_); trivial. % 196.46/196.61 (* end of lemma zenon_L548_ *) % 196.46/196.61 assert (zenon_L549_ : (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (unit1) (e13)) = (e13)) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((e10) = (op1 (e11) (e11))) -> ((op1 (unit1) (e10)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (e12) (e13)) = (e11)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (unit1) (e12)) = (e12)) -> ((unit2) = (e20)) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (e21) (unit2)) = (e21)) -> (~((h8 (op1 (e12) (e12))) = (op2 (h8 (e12)) (h8 (e12))))) -> ((h8 (e10)) = (op2 (e22) (e22))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> ((h8 (e12)) = (op2 (e21) (e22))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e21)) = (e21)) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((op2 (e22) (unit2)) = (e22)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((op2 (unit2) (e23)) = (e23)) -> ((op2 (unit2) (e20)) = (e20)) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e22)) = (e22)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((e20) = (e23))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> ((op1 (e11) (unit1)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (e13) (unit1)) = (e13)) -> ((op1 (e13) (e10)) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> False). % 196.48/196.62 do 0 intro. intros zenon_H1b5 zenon_H178 zenon_H15b zenon_H18e zenon_H13a zenon_H173 zenon_H133 zenon_H132 zenon_H1a3 zenon_H19c zenon_H196 zenon_H1a7 zenon_H14b zenon_H192 zenon_H104 zenon_H18b zenon_H218 zenon_H17e zenon_H105 zenon_H1e zenon_H54 zenon_H9e zenon_H40 zenon_H67 zenon_H29 zenon_Hcf zenon_H2ee zenon_Hf0 zenon_H248 zenon_H244 zenon_Hba zenon_H9f zenon_H86 zenon_H76 zenon_H77 zenon_H4d zenon_H56 zenon_H5d zenon_Ha9 zenon_Ha3 zenon_Ha4 zenon_Hb5 zenon_Hb3 zenon_Haf zenon_Hb6 zenon_H22 zenon_H20 zenon_H2a zenon_H2c zenon_H39 zenon_H37 zenon_H41 zenon_H49 zenon_Hbd zenon_H22d zenon_H1de zenon_H234 zenon_H1d1 zenon_H1cd zenon_H1d4 zenon_H1d9 zenon_Hc1 zenon_Hce zenon_Hd4 zenon_Hd8 zenon_Hdf zenon_H1ca zenon_H197 zenon_H131 zenon_H143 zenon_H172 zenon_H14c zenon_H121 zenon_H10f zenon_H110 zenon_H11a zenon_H111 zenon_H185 zenon_H186 zenon_H127 zenon_H120 zenon_H13b. % 196.48/196.62 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H177 | zenon_intro zenon_H1b6 ]. % 196.48/196.62 apply (zenon_L150_); trivial. % 196.48/196.62 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H198 | zenon_intro zenon_H1b7 ]. % 196.48/196.62 apply (zenon_L292_); trivial. % 196.48/196.62 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H14d | zenon_intro zenon_H1b1 ]. % 196.48/196.62 apply (zenon_L547_); trivial. % 196.48/196.62 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H106 | zenon_intro zenon_H193 ]. % 196.48/196.62 apply (zenon_L293_); trivial. % 196.48/196.62 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H17f | zenon_intro zenon_H194 ]. % 196.48/196.62 apply (zenon_L548_); trivial. % 196.48/196.62 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H187 | zenon_intro zenon_H152 ]. % 196.48/196.62 apply (zenon_L295_); trivial. % 196.48/196.62 apply (zenon_L124_); trivial. % 196.48/196.62 (* end of lemma zenon_L549_ *) % 196.48/196.62 assert (zenon_L550_ : (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (unit1) (e13)) = (e13)) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((e10) = (op1 (e11) (e11))) -> ((op1 (unit1) (e10)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (unit1) (e12)) = (e12)) -> ((unit2) = (e20)) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (e21) (unit2)) = (e21)) -> (~((h8 (op1 (e12) (e12))) = (op2 (h8 (e12)) (h8 (e12))))) -> ((h8 (e10)) = (op2 (e22) (e22))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> ((h8 (e12)) = (op2 (e21) (e22))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e21)) = (e21)) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((op2 (e22) (unit2)) = (e22)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((op2 (unit2) (e23)) = (e23)) -> ((op2 (unit2) (e20)) = (e20)) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e22)) = (e22)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((e20) = (e23))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> ((op1 (e11) (unit1)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (e13) (unit1)) = (e13)) -> ((op1 (e13) (e10)) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> False). % 196.48/196.62 do 0 intro. intros zenon_H224 zenon_H1f4 zenon_H1f7 zenon_H1b5 zenon_H178 zenon_H15b zenon_H18e zenon_H13a zenon_H173 zenon_H133 zenon_H132 zenon_H1a3 zenon_H19c zenon_H196 zenon_H1a7 zenon_H14b zenon_H192 zenon_H104 zenon_H18b zenon_H17e zenon_H105 zenon_H1e zenon_H54 zenon_H9e zenon_H40 zenon_H67 zenon_H29 zenon_Hcf zenon_H2ee zenon_Hf0 zenon_H248 zenon_H244 zenon_Hba zenon_H9f zenon_H86 zenon_H76 zenon_H77 zenon_H4d zenon_H56 zenon_H5d zenon_Ha9 zenon_Ha3 zenon_Ha4 zenon_Hb5 zenon_Hb3 zenon_Haf zenon_Hb6 zenon_H22 zenon_H20 zenon_H2a zenon_H2c zenon_H39 zenon_H37 zenon_H41 zenon_H49 zenon_Hbd zenon_H22d zenon_H1de zenon_H234 zenon_H1d1 zenon_H1cd zenon_H1d4 zenon_H1d9 zenon_Hc1 zenon_Hce zenon_Hd4 zenon_Hd8 zenon_Hdf zenon_H1ca zenon_H197 zenon_H131 zenon_H143 zenon_H172 zenon_H14c zenon_H121 zenon_H10f zenon_H110 zenon_H11a zenon_H111 zenon_H185 zenon_H186 zenon_H127 zenon_H120 zenon_H13b. % 196.48/196.62 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H226 ]. % 196.48/196.62 apply (zenon_L269_); trivial. % 196.48/196.62 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_H1f8 | zenon_intro zenon_H227 ]. % 196.48/196.62 apply (zenon_L349_); trivial. % 196.48/196.62 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H14d | zenon_intro zenon_H218 ]. % 196.48/196.62 apply (zenon_L547_); trivial. % 196.48/196.62 apply (zenon_L549_); trivial. % 196.48/196.62 (* end of lemma zenon_L550_ *) % 196.48/196.62 assert (zenon_L551_ : ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((op1 (e11) (unit1)) = (e11)) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((e20) = (e23))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (unit2) (e22)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((e20) = (op2 (e21) (e21))) -> ((op2 (unit2) (e20)) = (e20)) -> ((op2 (unit2) (e23)) = (e23)) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((op2 (e22) (unit2)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> ((op2 (unit2) (e21)) = (e21)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> ((h8 (e12)) = (op2 (e21) (e22))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> ((h8 (e10)) = (op2 (e22) (e22))) -> (~((h8 (op1 (e12) (e12))) = (op2 (h8 (e12)) (h8 (e12))))) -> ((op2 (e21) (unit2)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (e23) (unit2)) = (e23)) -> ((unit2) = (e20)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (e11) (e13)) = (e12)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (unit1) (e13)) = (e13)) -> ((op1 (unit1) (e10)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (unit1) (e12)) = (e12)) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> False). % 196.48/196.62 do 0 intro. intros zenon_H186 zenon_H185 zenon_H131 zenon_H197 zenon_H1ca zenon_Hdf zenon_Hd8 zenon_Hd4 zenon_Hce zenon_Hc1 zenon_H1d9 zenon_H1d4 zenon_H1cd zenon_H1d1 zenon_H234 zenon_H1de zenon_H22d zenon_Hbd zenon_H49 zenon_H41 zenon_H37 zenon_H39 zenon_H2c zenon_H2a zenon_H20 zenon_H22 zenon_Hb6 zenon_Haf zenon_Hb3 zenon_Hb5 zenon_Ha4 zenon_Ha3 zenon_Ha9 zenon_H5d zenon_H56 zenon_H4d zenon_H77 zenon_H76 zenon_H86 zenon_H9f zenon_Hba zenon_H244 zenon_H248 zenon_Hf0 zenon_H2ee zenon_Hcf zenon_H29 zenon_H67 zenon_H40 zenon_H9e zenon_H54 zenon_H1e zenon_H18b zenon_H104 zenon_H192 zenon_H1a7 zenon_H196 zenon_H19c zenon_H1a3 zenon_H133 zenon_H173 zenon_H18e zenon_H178 zenon_H1b5 zenon_H1f7 zenon_H1f4 zenon_H224 zenon_H17e zenon_H17f zenon_H111 zenon_H13a zenon_H132 zenon_H143 zenon_H14c zenon_H14b zenon_H11a zenon_H127 zenon_H172 zenon_H13b zenon_H10f zenon_H15b zenon_H105 zenon_H120 zenon_H121. % 196.48/196.62 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H110 | zenon_intro zenon_H174 ]. % 196.48/196.62 apply (zenon_L550_); trivial. % 196.48/196.62 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H12b | zenon_intro zenon_H175 ]. % 196.48/196.62 apply (zenon_L139_); trivial. % 196.48/196.62 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H140 | zenon_intro zenon_H15c ]. % 196.48/196.62 apply (zenon_L130_); trivial. % 196.48/196.62 apply (zenon_L133_); trivial. % 196.48/196.62 (* end of lemma zenon_L551_ *) % 196.48/196.62 assert (zenon_L552_ : (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e10)) = (e10)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> ((unit2) = (e20)) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (e21) (unit2)) = (e21)) -> (~((h8 (op1 (e12) (e12))) = (op2 (h8 (e12)) (h8 (e12))))) -> ((h8 (e10)) = (op2 (e22) (e22))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> ((h8 (e12)) = (op2 (e21) (e22))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e21)) = (e21)) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((op2 (e22) (unit2)) = (e22)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((op2 (unit2) (e23)) = (e23)) -> ((op2 (unit2) (e20)) = (e20)) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e22)) = (e22)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((e20) = (e23))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> ((op1 (e11) (unit1)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (unit1) (e12)) = (e12)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> False). % 196.48/196.62 do 0 intro. intros zenon_H14b zenon_H14c zenon_H143 zenon_H132 zenon_H17e zenon_H224 zenon_H1f4 zenon_H1f7 zenon_H1b5 zenon_H178 zenon_H133 zenon_H1a3 zenon_H19c zenon_H196 zenon_H1a7 zenon_H192 zenon_H104 zenon_H1e zenon_H54 zenon_H9e zenon_H40 zenon_H67 zenon_H29 zenon_Hcf zenon_H2ee zenon_Hf0 zenon_H248 zenon_H244 zenon_Hba zenon_H9f zenon_H86 zenon_H76 zenon_H77 zenon_H4d zenon_H56 zenon_H5d zenon_Ha9 zenon_Ha3 zenon_Ha4 zenon_Hb5 zenon_Hb3 zenon_Haf zenon_Hb6 zenon_H22 zenon_H20 zenon_H2a zenon_H2c zenon_H39 zenon_H37 zenon_H41 zenon_H49 zenon_Hbd zenon_H22d zenon_H1de zenon_H234 zenon_H1d1 zenon_H1cd zenon_H1d4 zenon_H1d9 zenon_Hc1 zenon_Hce zenon_Hd4 zenon_Hd8 zenon_Hdf zenon_H1ca zenon_H197 zenon_H131 zenon_H121 zenon_H105 zenon_H15b zenon_H10f zenon_H172 zenon_H127 zenon_H11a zenon_H18e zenon_H13a zenon_H185 zenon_H186 zenon_H18b zenon_H111 zenon_H173 zenon_H120 zenon_H13b. % 196.48/196.62 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H106 | zenon_intro zenon_H193 ]. % 196.48/196.62 apply (zenon_L134_); trivial. % 196.48/196.62 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H17f | zenon_intro zenon_H194 ]. % 196.48/196.62 apply (zenon_L551_); trivial. % 196.48/196.62 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H187 | zenon_intro zenon_H152 ]. % 196.48/196.62 apply (zenon_L149_); trivial. % 196.48/196.62 apply (zenon_L124_); trivial. % 196.48/196.62 (* end of lemma zenon_L552_ *) % 196.48/196.62 assert (zenon_L553_ : (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e13) (e11))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (unit1) (e12)) = (e12)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((op1 (e11) (unit1)) = (e11)) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((e20) = (e23))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((e20) = (op2 (e21) (e21))) -> ((op2 (unit2) (e20)) = (e20)) -> ((op2 (unit2) (e23)) = (e23)) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((op2 (e22) (unit2)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> ((h8 (e12)) = (op2 (e21) (e22))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> ((h8 (e10)) = (op2 (e22) (e22))) -> (~((h8 (op1 (e12) (e12))) = (op2 (h8 (e12)) (h8 (e12))))) -> ((op2 (e21) (unit2)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (unit1) (e10)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e20)) = (e23)) -> ((op2 (e23) (unit2)) = (e23)) -> ((op2 (e22) (e22)) = (e21)) -> ((op2 (unit2) (e21)) = (e21)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e22)) = (e22)) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> False). % 196.48/196.62 do 0 intro. intros zenon_H13b zenon_H120 zenon_H173 zenon_H111 zenon_H18b zenon_H186 zenon_H185 zenon_H13a zenon_H18e zenon_H11a zenon_H127 zenon_H172 zenon_H10f zenon_H15b zenon_H105 zenon_H121 zenon_H131 zenon_H197 zenon_H1ca zenon_Hdf zenon_Hd8 zenon_Hd4 zenon_Hce zenon_Hc1 zenon_H1d9 zenon_H1d4 zenon_H1cd zenon_H1d1 zenon_H234 zenon_H1de zenon_H22d zenon_Hbd zenon_H49 zenon_H39 zenon_H2c zenon_H2a zenon_H20 zenon_H22 zenon_Hb6 zenon_Haf zenon_Hb3 zenon_Hb5 zenon_Ha4 zenon_Ha3 zenon_Ha9 zenon_H5d zenon_H4d zenon_H86 zenon_H9f zenon_Hba zenon_H244 zenon_H248 zenon_Hf0 zenon_H2ee zenon_Hcf zenon_H29 zenon_H67 zenon_H9e zenon_H104 zenon_H192 zenon_H1a7 zenon_H196 zenon_H19c zenon_H1a3 zenon_H133 zenon_H178 zenon_H1b5 zenon_H1f7 zenon_H1f4 zenon_H224 zenon_H17e zenon_H132 zenon_H143 zenon_H14c zenon_H14b zenon_H56 zenon_H55 zenon_H54 zenon_H78 zenon_H77 zenon_H76 zenon_H37 zenon_H40 zenon_H41. % 196.48/196.62 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H1e | zenon_intro zenon_H4a ]. % 196.48/196.62 apply (zenon_L552_); trivial. % 196.48/196.62 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2b | zenon_intro zenon_H4b ]. % 196.48/196.62 apply (zenon_L14_); trivial. % 196.48/196.62 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H3f ]. % 196.48/196.62 apply (zenon_L30_); trivial. % 196.48/196.62 apply (zenon_L9_); trivial. % 196.48/196.62 (* end of lemma zenon_L553_ *) % 196.48/196.62 assert (zenon_L554_ : (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e10)) = (e10)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> ((op2 (e21) (unit2)) = (e21)) -> (~((h8 (op1 (e12) (e12))) = (op2 (h8 (e12)) (h8 (e12))))) -> ((h8 (e10)) = (op2 (e22) (e22))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> ((h8 (e12)) = (op2 (e21) (e22))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((op2 (e22) (unit2)) = (e22)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((e20) = (e23))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> ((op1 (e11) (unit1)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (unit1) (e12)) = (e12)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (unit2) (e20)) = (e20)) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (unit2) (e23)) = (e23)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e21)) = (e21)) -> ((op2 (e22) (e22)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((op2 (unit2) (e22)) = (e22)) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> False). % 196.48/196.62 do 0 intro. intros zenon_H14b zenon_H14c zenon_H143 zenon_H132 zenon_H17e zenon_H224 zenon_H1f4 zenon_H1f7 zenon_H1b5 zenon_H178 zenon_H133 zenon_H1a3 zenon_H19c zenon_H196 zenon_H1a7 zenon_H192 zenon_H104 zenon_Hcf zenon_H2ee zenon_Hf0 zenon_H248 zenon_H244 zenon_Hba zenon_H9f zenon_H4d zenon_Ha9 zenon_Ha3 zenon_Ha4 zenon_Hb5 zenon_Hb3 zenon_Haf zenon_Hb6 zenon_H22 zenon_H39 zenon_Hbd zenon_H22d zenon_H1de zenon_H234 zenon_H1d1 zenon_H1cd zenon_H1d4 zenon_H1d9 zenon_Hc1 zenon_Hce zenon_Hd4 zenon_Hd8 zenon_Hdf zenon_H1ca zenon_H197 zenon_H131 zenon_H121 zenon_H105 zenon_H15b zenon_H10f zenon_H172 zenon_H127 zenon_H11a zenon_H18e zenon_H13a zenon_H185 zenon_H186 zenon_H18b zenon_H111 zenon_H173 zenon_H120 zenon_H13b zenon_H29 zenon_H2a zenon_H2c zenon_H56 zenon_H20 zenon_H76 zenon_H77 zenon_H78 zenon_H5d zenon_H49 zenon_H9e zenon_H67 zenon_H54 zenon_H86 zenon_H37 zenon_H40 zenon_H41. % 196.48/196.62 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H55 | zenon_intro zenon_Ha0 ]. % 196.48/196.62 apply (zenon_L553_); trivial. % 196.48/196.62 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_H61 | zenon_intro zenon_Ha1 ]. % 196.48/196.62 apply (zenon_L353_); trivial. % 196.48/196.62 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H6c | zenon_intro zenon_H87 ]. % 196.48/196.62 apply (zenon_L85_); trivial. % 196.48/196.62 apply (zenon_L40_); trivial. % 196.48/196.62 (* end of lemma zenon_L554_ *) % 196.48/196.62 assert (zenon_L555_ : (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e13) (e11))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (unit1) (e12)) = (e12)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((op1 (e11) (unit1)) = (e11)) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((e20) = (e23))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((h8 (e12)) = (op2 (e21) (e22))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> ((h8 (e10)) = (op2 (e22) (e22))) -> (~((h8 (op1 (e12) (e12))) = (op2 (h8 (e12)) (h8 (e12))))) -> ((op2 (e21) (unit2)) = (e21)) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (unit1) (e10)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> ((op2 (e22) (e21)) = (e21)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e22) (e21)) = (e23)) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> ((op2 (unit2) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e21)) = (e21)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((op2 (e22) (unit2)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (unit2) (e23)) = (e23)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((op2 (unit2) (e22)) = (e22)) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> False). % 196.48/196.62 do 0 intro. intros zenon_H13b zenon_H120 zenon_H173 zenon_H111 zenon_H18b zenon_H186 zenon_H185 zenon_H13a zenon_H18e zenon_H11a zenon_H127 zenon_H172 zenon_H10f zenon_H15b zenon_H105 zenon_H121 zenon_H131 zenon_H197 zenon_H1ca zenon_Hdf zenon_Hd8 zenon_Hd4 zenon_Hce zenon_Hc1 zenon_H234 zenon_H1de zenon_H22d zenon_Hbd zenon_H22 zenon_H244 zenon_H248 zenon_Hf0 zenon_H2ee zenon_Hcf zenon_H104 zenon_H192 zenon_H1a7 zenon_H196 zenon_H19c zenon_H1a3 zenon_H133 zenon_H178 zenon_H1b5 zenon_H1f7 zenon_H1f4 zenon_H224 zenon_H17e zenon_H132 zenon_H143 zenon_H14c zenon_H14b zenon_H1d9 zenon_H1cd zenon_H1ce zenon_H1d4 zenon_Hba zenon_H1d1 zenon_Hc7 zenon_H2c zenon_H29 zenon_Ha3 zenon_Ha9 zenon_H2a zenon_H39 zenon_H77 zenon_H76 zenon_H4d zenon_Hb6 zenon_H9f zenon_H56 zenon_Hb3 zenon_Ha4 zenon_Haf zenon_H20 zenon_Hb5 zenon_H5d zenon_H49 zenon_H9e zenon_H67 zenon_H54 zenon_H86 zenon_H37 zenon_H40 zenon_H41. % 196.48/196.62 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_Hc0 | zenon_intro zenon_He0 ]. % 196.48/196.62 apply (zenon_L218_); trivial. % 196.48/196.62 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hd0 | zenon_intro zenon_He1 ]. % 196.48/196.62 apply (zenon_L79_); trivial. % 196.48/196.62 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_H78 | zenon_intro zenon_Hdb ]. % 196.48/196.62 apply (zenon_L554_); trivial. % 196.48/196.62 apply (zenon_L250_); trivial. % 196.48/196.62 (* end of lemma zenon_L555_ *) % 196.48/196.62 assert (zenon_L556_ : (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> ((op2 (e20) (e23)) = (e22)) -> ((op2 (unit2) (e22)) = (e22)) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e20)) = (e23)) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (unit2) (e21)) = (e21)) -> ((op2 (e23) (e22)) = (e21)) -> False). % 196.48/196.62 do 0 intro. intros zenon_H49 zenon_H4e zenon_H37 zenon_H4d zenon_H56 zenon_H5d zenon_H55 zenon_H54 zenon_H41 zenon_H77 zenon_Hdb. % 196.48/196.62 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H1e | zenon_intro zenon_H4a ]. % 196.48/196.62 apply (zenon_L12_); trivial. % 196.48/196.62 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2b | zenon_intro zenon_H4b ]. % 196.48/196.62 apply (zenon_L14_); trivial. % 196.48/196.62 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H3f ]. % 196.48/196.62 apply (zenon_L16_); trivial. % 196.48/196.62 apply (zenon_L82_); trivial. % 196.48/196.62 (* end of lemma zenon_L556_ *) % 196.48/196.62 assert (zenon_L557_ : (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e13) (e11))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (unit1) (e12)) = (e12)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((op1 (e11) (unit1)) = (e11)) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((e20) = (e23))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((e20) = (op2 (e21) (e21))) -> ((op2 (unit2) (e20)) = (e20)) -> ((op2 (unit2) (e23)) = (e23)) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((op2 (e22) (unit2)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> ((h8 (e12)) = (op2 (e21) (e22))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> ((h8 (e10)) = (op2 (e22) (e22))) -> (~((h8 (op1 (e12) (e12))) = (op2 (h8 (e12)) (h8 (e12))))) -> ((op2 (e21) (unit2)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (unit1) (e10)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op2 (e21) (e23)) = (e22)) -> ((op2 (unit2) (e22)) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> ((op2 (e22) (e23)) = (e21)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (unit2) (e21)) = (e21)) -> ((op2 (e23) (e22)) = (e21)) -> False). % 196.48/196.62 do 0 intro. intros zenon_H13b zenon_H120 zenon_H173 zenon_H111 zenon_H18b zenon_H186 zenon_H185 zenon_H13a zenon_H18e zenon_H11a zenon_H127 zenon_H172 zenon_H10f zenon_H15b zenon_H105 zenon_H121 zenon_H131 zenon_H197 zenon_H1ca zenon_Hdf zenon_Hd8 zenon_Hd4 zenon_Hce zenon_Hc1 zenon_H1d9 zenon_H1d4 zenon_H1cd zenon_H1d1 zenon_H234 zenon_H1de zenon_H22d zenon_Hbd zenon_H49 zenon_H39 zenon_H2c zenon_H2a zenon_H20 zenon_H22 zenon_Hb6 zenon_Haf zenon_Hb5 zenon_Ha4 zenon_Ha3 zenon_H5d zenon_H56 zenon_H4d zenon_H76 zenon_H86 zenon_H9f zenon_Hba zenon_H244 zenon_H248 zenon_Hf0 zenon_H2ee zenon_Hcf zenon_H29 zenon_H67 zenon_H40 zenon_H9e zenon_H54 zenon_H104 zenon_H192 zenon_H1a7 zenon_H196 zenon_H19c zenon_H1a3 zenon_H133 zenon_H178 zenon_H1b5 zenon_H1f7 zenon_H1f4 zenon_H224 zenon_H17e zenon_H132 zenon_H143 zenon_H14c zenon_H14b zenon_Haa zenon_H37 zenon_Ha9 zenon_H1dc zenon_Hb3 zenon_H41 zenon_H77 zenon_Hdb. % 196.48/196.62 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H1e | zenon_intro zenon_H4a ]. % 196.48/196.62 apply (zenon_L552_); trivial. % 196.48/196.62 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2b | zenon_intro zenon_H4b ]. % 196.48/196.62 apply (zenon_L46_); trivial. % 196.48/196.62 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H3f ]. % 196.48/196.62 apply (zenon_L212_); trivial. % 196.48/196.62 apply (zenon_L82_); trivial. % 196.48/196.62 (* end of lemma zenon_L557_ *) % 196.48/196.62 assert (zenon_L558_ : (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> ((op2 (e22) (e23)) = (e22)) -> ((op2 (e22) (unit2)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e20)) = (e23)) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (unit2) (e21)) = (e21)) -> ((op2 (e23) (e22)) = (e21)) -> False). % 196.48/196.62 do 0 intro. intros zenon_H49 zenon_Hb0 zenon_Ha4 zenon_Haf zenon_H56 zenon_H5d zenon_H55 zenon_H54 zenon_H41 zenon_H77 zenon_Hdb. % 196.48/196.62 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H1e | zenon_intro zenon_H4a ]. % 196.48/196.62 apply (zenon_L49_); trivial. % 196.48/196.62 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2b | zenon_intro zenon_H4b ]. % 196.48/196.62 apply (zenon_L14_); trivial. % 196.48/196.62 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H3f ]. % 196.48/196.62 apply (zenon_L16_); trivial. % 196.48/196.62 apply (zenon_L82_); trivial. % 196.48/196.62 (* end of lemma zenon_L558_ *) % 196.48/196.62 assert (zenon_L559_ : (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((op2 (e22) (e23)) = (e21)) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> ((op2 (unit2) (e22)) = (e22)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e10)) = (e10)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (e21) (unit2)) = (e21)) -> (~((h8 (op1 (e12) (e12))) = (op2 (h8 (e12)) (h8 (e12))))) -> ((h8 (e10)) = (op2 (e22) (e22))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> ((h8 (e12)) = (op2 (e21) (e22))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((op2 (unit2) (e23)) = (e23)) -> ((op2 (unit2) (e20)) = (e20)) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((e20) = (e23))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> ((op1 (e11) (unit1)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (unit1) (e12)) = (e12)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op2 (unit2) (e21)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e23) (unit2)) = (e23)) -> ((op2 (e23) (e20)) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e22) (unit2)) = (e22)) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> False). % 196.48/196.62 do 0 intro. intros zenon_Hb3 zenon_H1dc zenon_Ha9 zenon_H37 zenon_H14b zenon_H14c zenon_H143 zenon_H132 zenon_H17e zenon_H224 zenon_H1f4 zenon_H1f7 zenon_H1b5 zenon_H178 zenon_H133 zenon_H1a3 zenon_H19c zenon_H196 zenon_H1a7 zenon_H192 zenon_H104 zenon_H9e zenon_H29 zenon_Hcf zenon_H2ee zenon_Hf0 zenon_H248 zenon_H244 zenon_Hba zenon_H9f zenon_H86 zenon_H76 zenon_H4d zenon_Ha3 zenon_Hb5 zenon_Hb6 zenon_H22 zenon_H20 zenon_H2a zenon_H2c zenon_H39 zenon_Hbd zenon_H22d zenon_H1de zenon_H234 zenon_H1d1 zenon_H1cd zenon_H1d4 zenon_H1d9 zenon_Hc1 zenon_Hce zenon_Hd4 zenon_Hd8 zenon_Hdf zenon_H1ca zenon_H197 zenon_H131 zenon_H121 zenon_H105 zenon_H15b zenon_H10f zenon_H172 zenon_H127 zenon_H11a zenon_H18e zenon_H13a zenon_H185 zenon_H186 zenon_H18b zenon_H111 zenon_H173 zenon_H120 zenon_H13b zenon_H77 zenon_H41 zenon_H54 zenon_H55 zenon_H5d zenon_H56 zenon_Haf zenon_Ha4 zenon_H49 zenon_H40 zenon_H67. % 196.48/196.62 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_Hc0 | zenon_intro zenon_He0 ]. % 196.48/196.62 apply (zenon_L218_); trivial. % 196.48/196.62 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hd0 | zenon_intro zenon_He1 ]. % 196.48/196.62 apply (zenon_L74_); trivial. % 196.48/196.62 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_H78 | zenon_intro zenon_Hdb ]. % 196.48/196.62 apply (zenon_L553_); trivial. % 196.48/196.62 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_H4e | zenon_intro zenon_Hb7 ]. % 196.48/196.62 apply (zenon_L556_); trivial. % 196.48/196.62 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_Haa | zenon_intro zenon_Hb8 ]. % 196.48/196.62 apply (zenon_L557_); trivial. % 196.48/196.62 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H7d ]. % 196.48/196.62 apply (zenon_L558_); trivial. % 196.48/196.62 apply (zenon_L31_); trivial. % 196.48/196.62 (* end of lemma zenon_L559_ *) % 196.48/196.62 assert (zenon_L560_ : ((op2 (e22) (unit2)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e13) (e11))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (unit1) (e12)) = (e12)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((op1 (e11) (unit1)) = (e11)) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((e20) = (e23))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> ((h8 (e12)) = (op2 (e21) (e22))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> ((h8 (e10)) = (op2 (e22) (e22))) -> (~((h8 (op1 (e12) (e12))) = (op2 (h8 (e12)) (h8 (e12))))) -> ((op2 (e21) (unit2)) = (e21)) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (unit1) (e10)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> ((op2 (e22) (e22)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (unit2) (e20)) = (e20)) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (unit2) (e23)) = (e23)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((op2 (unit2) (e21)) = (e21)) -> ((op2 (e22) (e23)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((op2 (unit2) (e22)) = (e22)) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> False). % 196.48/196.62 do 0 intro. intros zenon_Ha4 zenon_Haf zenon_H13b zenon_H120 zenon_H173 zenon_H111 zenon_H18b zenon_H186 zenon_H185 zenon_H13a zenon_H18e zenon_H11a zenon_H127 zenon_H172 zenon_H10f zenon_H15b zenon_H105 zenon_H121 zenon_H131 zenon_H197 zenon_H1ca zenon_Hdf zenon_Hd8 zenon_Hd4 zenon_Hce zenon_Hc1 zenon_H1d9 zenon_H1d4 zenon_H1cd zenon_H1d1 zenon_H234 zenon_H1de zenon_H22d zenon_Hbd zenon_H39 zenon_H22 zenon_Hb6 zenon_Hb5 zenon_Ha3 zenon_H4d zenon_H9f zenon_Hba zenon_H244 zenon_H248 zenon_Hf0 zenon_H2ee zenon_Hcf zenon_H104 zenon_H192 zenon_H1a7 zenon_H196 zenon_H19c zenon_H1a3 zenon_H133 zenon_H178 zenon_H1b5 zenon_H1f7 zenon_H1f4 zenon_H224 zenon_H17e zenon_H132 zenon_H143 zenon_H14c zenon_H14b zenon_Ha9 zenon_H76 zenon_H78 zenon_H29 zenon_H2a zenon_H2c zenon_H56 zenon_H20 zenon_Hb3 zenon_H77 zenon_H1dc zenon_H5d zenon_H49 zenon_H9e zenon_H67 zenon_H54 zenon_H86 zenon_H37 zenon_H40 zenon_H41. % 196.48/196.62 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H55 | zenon_intro zenon_Ha0 ]. % 196.48/196.62 apply (zenon_L559_); trivial. % 196.48/196.62 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_H61 | zenon_intro zenon_Ha1 ]. % 196.48/196.62 apply (zenon_L353_); trivial. % 196.48/196.62 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H6c | zenon_intro zenon_H87 ]. % 196.48/196.62 apply (zenon_L213_); trivial. % 196.48/196.62 apply (zenon_L40_); trivial. % 196.48/196.62 (* end of lemma zenon_L560_ *) % 196.48/196.62 assert (zenon_L561_ : ((op2 (e23) (e22)) = (e21)) -> ((op2 (unit2) (e21)) = (e21)) -> ((op2 (e22) (e23)) = (e21)) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e10)) = (e10)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (e21) (unit2)) = (e21)) -> (~((h8 (op1 (e12) (e12))) = (op2 (h8 (e12)) (h8 (e12))))) -> ((h8 (e10)) = (op2 (e22) (e22))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> ((h8 (e12)) = (op2 (e21) (e22))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((op2 (unit2) (e20)) = (e20)) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((e20) = (e23))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> ((op1 (e11) (unit1)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (unit1) (e12)) = (e12)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (unit2) (e22)) = (e22)) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((op2 (unit2) (e23)) = (e23)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e22) (unit2)) = (e22)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> False). % 196.48/196.62 do 0 intro. intros zenon_Hdb zenon_H77 zenon_H1dc zenon_Ha9 zenon_H14b zenon_H14c zenon_H143 zenon_H132 zenon_H17e zenon_H224 zenon_H1f4 zenon_H1f7 zenon_H1b5 zenon_H178 zenon_H133 zenon_H1a3 zenon_H19c zenon_H196 zenon_H1a7 zenon_H192 zenon_H104 zenon_H29 zenon_Hcf zenon_H2ee zenon_Hf0 zenon_H248 zenon_H244 zenon_Hba zenon_H76 zenon_H4d zenon_Ha3 zenon_Hb6 zenon_H22 zenon_H2a zenon_H2c zenon_H39 zenon_Hbd zenon_H22d zenon_H1de zenon_H234 zenon_H1d1 zenon_H1cd zenon_H1d4 zenon_H1d9 zenon_Hc1 zenon_Hce zenon_Hd4 zenon_Hd8 zenon_Hdf zenon_H1ca zenon_H197 zenon_H131 zenon_H121 zenon_H105 zenon_H15b zenon_H10f zenon_H172 zenon_H127 zenon_H11a zenon_H18e zenon_H13a zenon_H185 zenon_H186 zenon_H18b zenon_H111 zenon_H173 zenon_H120 zenon_H13b zenon_H41 zenon_H37 zenon_H86 zenon_H54 zenon_H9e zenon_H49 zenon_H5d zenon_Hb5 zenon_H20 zenon_Haf zenon_Ha4 zenon_Hb3 zenon_H56 zenon_H9f zenon_H40 zenon_H67. % 196.48/196.62 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_H4e | zenon_intro zenon_Hb7 ]. % 196.48/196.62 apply (zenon_L214_); trivial. % 196.48/196.62 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_Haa | zenon_intro zenon_Hb8 ]. % 196.48/196.62 apply (zenon_L557_); trivial. % 196.48/196.62 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H7d ]. % 196.48/196.62 apply (zenon_L55_); trivial. % 196.48/196.62 apply (zenon_L31_); trivial. % 196.48/196.62 (* end of lemma zenon_L561_ *) % 196.48/196.62 assert (zenon_L562_ : ((op2 (e21) (e22)) = (e23)) -> ((h8 (e12)) = (op2 (e21) (e22))) -> (~((e23) = (h8 (e12)))) -> False). % 196.48/196.62 do 0 intro. intros zenon_H245 zenon_H244 zenon_H2f8. % 196.48/196.62 elim (classic ((h8 (e12)) = (h8 (e12)))); [ zenon_intro zenon_H2f9 | zenon_intro zenon_H247 ]. % 196.48/196.62 cut (((h8 (e12)) = (h8 (e12))) = ((e23) = (h8 (e12)))). % 196.48/196.62 intro zenon_D_pnotp. % 196.48/196.62 apply zenon_H2f8. % 196.48/196.62 rewrite <- zenon_D_pnotp. % 196.48/196.62 exact zenon_H2f9. % 196.48/196.62 cut (((h8 (e12)) = (h8 (e12)))); [idtac | apply NNPP; zenon_intro zenon_H247]. % 196.48/196.62 cut (((h8 (e12)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H243]. % 196.48/196.62 congruence. % 196.48/196.62 cut (((op2 (e21) (e22)) = (e23)) = ((h8 (e12)) = (e23))). % 196.48/196.62 intro zenon_D_pnotp. % 196.48/196.62 apply zenon_H243. % 196.48/196.62 rewrite <- zenon_D_pnotp. % 196.48/196.62 exact zenon_H245. % 196.48/196.62 cut (((e23) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H1c]. % 196.48/196.62 cut (((op2 (e21) (e22)) = (h8 (e12)))); [idtac | apply NNPP; zenon_intro zenon_H2fa]. % 196.48/196.63 congruence. % 196.48/196.63 elim (classic ((h8 (e12)) = (h8 (e12)))); [ zenon_intro zenon_H2f9 | zenon_intro zenon_H247 ]. % 196.48/196.63 cut (((h8 (e12)) = (h8 (e12))) = ((op2 (e21) (e22)) = (h8 (e12)))). % 196.48/196.63 intro zenon_D_pnotp. % 196.48/196.63 apply zenon_H2fa. % 196.48/196.63 rewrite <- zenon_D_pnotp. % 196.48/196.63 exact zenon_H2f9. % 196.48/196.63 cut (((h8 (e12)) = (h8 (e12)))); [idtac | apply NNPP; zenon_intro zenon_H247]. % 196.48/196.63 cut (((h8 (e12)) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H2fb]. % 196.48/196.63 congruence. % 196.48/196.63 exact (zenon_H2fb zenon_H244). % 196.48/196.63 apply zenon_H247. apply refl_equal. % 196.48/196.63 apply zenon_H247. apply refl_equal. % 196.48/196.63 apply zenon_H1c. apply refl_equal. % 196.48/196.63 apply zenon_H247. apply refl_equal. % 196.48/196.63 apply zenon_H247. apply refl_equal. % 196.48/196.63 (* end of lemma zenon_L562_ *) % 196.48/196.63 assert (zenon_L563_ : (~((op2 (e23) (e21)) = (op2 (h8 (e12)) (h8 (e13))))) -> ((h8 (e13)) = (e21)) -> ((h8 (e12)) = (op2 (e21) (e22))) -> ((op2 (e21) (e22)) = (e23)) -> False). % 196.48/196.63 do 0 intro. intros zenon_H2fc zenon_H27d zenon_H244 zenon_H245. % 196.48/196.63 cut (((e21) = (h8 (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2fd]. % 196.48/196.63 cut (((e23) = (h8 (e12)))); [idtac | apply NNPP; zenon_intro zenon_H2f8]. % 196.48/196.63 congruence. % 196.48/196.63 apply (zenon_L562_); trivial. % 196.48/196.63 apply zenon_H2fd. apply sym_equal. exact zenon_H27d. % 196.48/196.63 (* end of lemma zenon_L563_ *) % 196.48/196.63 assert (zenon_L564_ : (~((h8 (op1 (e12) (e13))) = (op2 (h8 (e12)) (h8 (e13))))) -> ((h8 (e11)) = (e22)) -> ((op1 (e12) (e13)) = (e11)) -> ((e22) = (op2 (e23) (e21))) -> ((op2 (e21) (e22)) = (e23)) -> ((h8 (e12)) = (op2 (e21) (e22))) -> ((h8 (e13)) = (e21)) -> False). % 196.48/196.63 do 0 intro. intros zenon_H2fe zenon_H1fd zenon_H218 zenon_H40 zenon_H245 zenon_H244 zenon_H27d. % 196.48/196.63 cut (((h8 (e11)) = (e22)) = ((h8 (op1 (e12) (e13))) = (op2 (h8 (e12)) (h8 (e13))))). % 196.48/196.63 intro zenon_D_pnotp. % 196.48/196.63 apply zenon_H2fe. % 196.48/196.63 rewrite <- zenon_D_pnotp. % 196.48/196.63 exact zenon_H1fd. % 196.48/196.63 cut (((e22) = (op2 (h8 (e12)) (h8 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H2ff]. % 196.48/196.63 cut (((h8 (e11)) = (h8 (op1 (e12) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H300]. % 196.48/196.63 congruence. % 196.48/196.63 elim (classic ((h8 (op1 (e12) (e13))) = (h8 (op1 (e12) (e13))))); [ zenon_intro zenon_H301 | zenon_intro zenon_H302 ]. % 196.48/196.63 cut (((h8 (op1 (e12) (e13))) = (h8 (op1 (e12) (e13)))) = ((h8 (e11)) = (h8 (op1 (e12) (e13))))). % 196.48/196.63 intro zenon_D_pnotp. % 196.48/196.63 apply zenon_H300. % 196.48/196.63 rewrite <- zenon_D_pnotp. % 196.48/196.63 exact zenon_H301. % 196.48/196.63 cut (((h8 (op1 (e12) (e13))) = (h8 (op1 (e12) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H302]. % 196.48/196.63 cut (((h8 (op1 (e12) (e13))) = (h8 (e11)))); [idtac | apply NNPP; zenon_intro zenon_H303]. % 196.48/196.63 congruence. % 196.48/196.63 cut (((op1 (e12) (e13)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H304]. % 196.48/196.63 congruence. % 196.48/196.63 exact (zenon_H304 zenon_H218). % 196.48/196.63 apply zenon_H302. apply refl_equal. % 196.48/196.63 apply zenon_H302. apply refl_equal. % 196.48/196.63 cut (((e22) = (op2 (e23) (e21))) = ((e22) = (op2 (h8 (e12)) (h8 (e13))))). % 196.48/196.63 intro zenon_D_pnotp. % 196.48/196.63 apply zenon_H2ff. % 196.48/196.63 rewrite <- zenon_D_pnotp. % 196.48/196.63 exact zenon_H40. % 196.48/196.63 cut (((op2 (e23) (e21)) = (op2 (h8 (e12)) (h8 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H2fc]. % 196.48/196.63 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H33]. % 196.48/196.63 congruence. % 196.48/196.63 apply zenon_H33. apply refl_equal. % 196.48/196.63 apply (zenon_L563_); trivial. % 196.48/196.63 (* end of lemma zenon_L564_ *) % 196.48/196.63 assert (zenon_L565_ : ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((h8 (op1 (e12) (e13))) = (op2 (h8 (e12)) (h8 (e13))))) -> ((h8 (e11)) = (e22)) -> ((e22) = (op2 (e23) (e21))) -> ((op2 (e21) (e22)) = (e23)) -> ((h8 (e12)) = (op2 (e21) (e22))) -> ((h8 (e13)) = (e21)) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((op1 (e11) (unit1)) = (e11)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e13) (e10)) = (e13)) -> ((op1 (e13) (unit1)) = (e13)) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> ((op1 (e11) (e13)) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (e12) (e12)) = (e11)) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e12)) = (e12)) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> False). % 196.48/196.63 do 0 intro. intros zenon_H13a zenon_H261 zenon_H185 zenon_H186 zenon_H2fe zenon_H1fd zenon_H40 zenon_H245 zenon_H244 zenon_H27d zenon_H127 zenon_H172 zenon_H13b zenon_H131 zenon_H197 zenon_H273 zenon_H111 zenon_H110 zenon_H10f zenon_H290 zenon_H17f zenon_H17e zenon_H14d zenon_H14c zenon_H14b zenon_H105 zenon_H120 zenon_H121. % 196.48/196.63 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H102 | zenon_intro zenon_H128 ]. % 196.48/196.63 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_H274 | zenon_intro zenon_H291 ]. % 196.48/196.63 apply (zenon_L420_); trivial. % 196.48/196.63 apply (zenon_or_s _ _ zenon_H291); [ zenon_intro zenon_H218 | zenon_intro zenon_H292 ]. % 196.48/196.63 apply (zenon_L564_); trivial. % 196.48/196.63 apply (zenon_or_s _ _ zenon_H292); [ zenon_intro zenon_H187 | zenon_intro zenon_H262 ]. % 196.48/196.63 apply (zenon_L142_); trivial. % 196.48/196.63 apply (zenon_L368_); trivial. % 196.48/196.63 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H10d | zenon_intro zenon_H129 ]. % 196.48/196.63 apply (zenon_L138_); trivial. % 196.48/196.63 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H118 | zenon_intro zenon_H11f ]. % 196.48/196.63 apply (zenon_L123_); trivial. % 196.48/196.63 apply (zenon_L107_); trivial. % 196.48/196.63 (* end of lemma zenon_L565_ *) % 196.48/196.63 assert (zenon_L566_ : (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (e11) (e13)) = (e12)) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (unit1)) = (e11)) -> ((h8 (e13)) = (e21)) -> ((h8 (e12)) = (op2 (e21) (e22))) -> ((op2 (e21) (e22)) = (e23)) -> ((e22) = (op2 (e23) (e21))) -> ((h8 (e11)) = (e22)) -> (~((h8 (op1 (e12) (e13))) = (op2 (h8 (e12)) (h8 (e13))))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((op1 (unit1) (e10)) = (e10)) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> ((op1 (e12) (e12)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (unit1) (e12)) = (e12)) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> False). % 196.48/196.63 do 0 intro. intros zenon_H173 zenon_H17e zenon_H17f zenon_H290 zenon_H273 zenon_H197 zenon_H27d zenon_H244 zenon_H245 zenon_H40 zenon_H1fd zenon_H2fe zenon_H186 zenon_H185 zenon_H261 zenon_H131 zenon_H132 zenon_H133 zenon_H111 zenon_H13a zenon_H14b zenon_H14c zenon_H14d zenon_H11a zenon_H127 zenon_H172 zenon_H13b zenon_H10f zenon_H15b zenon_H105 zenon_H120 zenon_H121. % 196.48/196.63 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H110 | zenon_intro zenon_H174 ]. % 196.48/196.63 apply (zenon_L565_); trivial. % 196.48/196.63 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H12b | zenon_intro zenon_H175 ]. % 196.48/196.63 apply (zenon_L341_); trivial. % 196.48/196.63 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H140 | zenon_intro zenon_H15c ]. % 196.48/196.63 apply (zenon_L191_); trivial. % 196.48/196.63 apply (zenon_L133_); trivial. % 196.48/196.63 (* end of lemma zenon_L566_ *) % 196.48/196.63 assert (zenon_L567_ : (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e13) (e11))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (unit1) (e12)) = (e12)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> ((op1 (e11) (unit1)) = (e11)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((op1 (unit1) (e10)) = (e10)) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((h8 (op1 (e12) (e13))) = (op2 (h8 (e12)) (h8 (e13))))) -> ((h8 (e11)) = (e22)) -> ((e22) = (op2 (e23) (e21))) -> ((op2 (e21) (e22)) = (e23)) -> ((h8 (e12)) = (op2 (e21) (e22))) -> ((h8 (e13)) = (e21)) -> False). % 196.48/196.63 do 0 intro. intros zenon_H224 zenon_H1f4 zenon_H1f7 zenon_H143 zenon_H1a7 zenon_H196 zenon_H19c zenon_H1a3 zenon_H178 zenon_H1b5 zenon_H13b zenon_H120 zenon_H173 zenon_H111 zenon_H18b zenon_H186 zenon_H185 zenon_H13a zenon_H18e zenon_H11a zenon_H127 zenon_H172 zenon_H10f zenon_H15b zenon_H105 zenon_H121 zenon_H17e zenon_H290 zenon_H273 zenon_H197 zenon_H261 zenon_H131 zenon_H132 zenon_H133 zenon_H14b zenon_H14c zenon_H104 zenon_H192 zenon_H2fe zenon_H1fd zenon_H40 zenon_H245 zenon_H244 zenon_H27d. % 196.48/196.63 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H226 ]. % 196.48/196.63 apply (zenon_L269_); trivial. % 196.48/196.63 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_H1f8 | zenon_intro zenon_H227 ]. % 196.48/196.63 apply (zenon_L349_); trivial. % 196.48/196.63 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H14d | zenon_intro zenon_H218 ]. % 196.48/196.63 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H106 | zenon_intro zenon_H193 ]. % 196.48/196.63 apply (zenon_L336_); trivial. % 196.48/196.63 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H17f | zenon_intro zenon_H194 ]. % 196.48/196.63 apply (zenon_L566_); trivial. % 196.48/196.63 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H187 | zenon_intro zenon_H152 ]. % 196.48/196.63 apply (zenon_L149_); trivial. % 196.48/196.63 apply (zenon_L124_); trivial. % 196.48/196.63 apply (zenon_L564_); trivial. % 196.48/196.63 (* end of lemma zenon_L567_ *) % 196.48/196.63 assert (zenon_L568_ : (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((e20) = (e23))) -> ((h8 (e13)) = (e21)) -> ((h8 (e12)) = (op2 (e21) (e22))) -> ((h8 (e11)) = (e22)) -> (~((h8 (op1 (e12) (e13))) = (op2 (h8 (e12)) (h8 (e13))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((e10) = (op1 (e11) (e11))) -> ((op1 (unit1) (e10)) = (e10)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e11) (unit1)) = (e11)) -> (~((op1 (e12) (e13)) = (op1 (e13) (e13)))) -> (((op1 (e12) (e13)) = (e10))\/(((op1 (e12) (e13)) = (e11))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (unit1) (e12)) = (e12)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((op2 (e21) (unit2)) = (e21)) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> ((op2 (unit2) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e21)) = (e21)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((op2 (e22) (unit2)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (unit2) (e23)) = (e23)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((op2 (unit2) (e22)) = (e22)) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> False). % 196.48/196.63 do 0 intro. intros zenon_H248 zenon_H1de zenon_Hd8 zenon_H1d9 zenon_H1cd zenon_H1d1 zenon_H234 zenon_H22d zenon_H22 zenon_H1ca zenon_Hbd zenon_H27d zenon_H244 zenon_H1fd zenon_H2fe zenon_H192 zenon_H104 zenon_H14c zenon_H14b zenon_H133 zenon_H132 zenon_H131 zenon_H261 zenon_H197 zenon_H273 zenon_H290 zenon_H17e zenon_H121 zenon_H105 zenon_H15b zenon_H10f zenon_H172 zenon_H127 zenon_H11a zenon_H18e zenon_H13a zenon_H185 zenon_H186 zenon_H18b zenon_H111 zenon_H173 zenon_H120 zenon_H13b zenon_H1b5 zenon_H178 zenon_H1a3 zenon_H19c zenon_H196 zenon_H1a7 zenon_H143 zenon_H1f7 zenon_H1f4 zenon_H224 zenon_Hdf zenon_Hc1 zenon_Hd4 zenon_Hce zenon_Hcf zenon_Hba zenon_H1d4 zenon_Ha3 zenon_H29 zenon_H2c zenon_Ha9 zenon_H2a zenon_H39 zenon_H77 zenon_H76 zenon_H4d zenon_Hb6 zenon_H9f zenon_H56 zenon_Hb3 zenon_Ha4 zenon_Haf zenon_H20 zenon_Hb5 zenon_H5d zenon_H49 zenon_H9e zenon_H67 zenon_H54 zenon_H86 zenon_H37 zenon_H40 zenon_H41. % 196.48/196.63 apply (zenon_or_s _ _ zenon_H248); [ zenon_intro zenon_H22c | zenon_intro zenon_H249 ]. % 196.48/196.63 apply (zenon_L322_); trivial. % 196.48/196.63 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_H8d | zenon_intro zenon_H24a ]. % 196.48/196.63 apply (zenon_L65_); trivial. % 196.48/196.63 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_H245 | zenon_intro zenon_H1d5 ]. % 196.48/196.63 apply (zenon_L567_); trivial. % 196.48/196.63 apply (zenon_L357_); trivial. % 196.48/196.63 (* end of lemma zenon_L568_ *) % 196.48/196.63 assert (zenon_L569_ : ((h8 (e13)) = (e21)) -> ((op1 (e13) (e10)) = (e13)) -> (~((e21) = (h8 (op1 (e13) (e10))))) -> False). % 196.48/196.63 do 0 intro. intros zenon_H27d zenon_H110 zenon_H305. % 196.48/196.63 elim (classic ((h8 (op1 (e13) (e10))) = (h8 (op1 (e13) (e10))))); [ zenon_intro zenon_H306 | zenon_intro zenon_H307 ]. % 196.48/196.63 cut (((h8 (op1 (e13) (e10))) = (h8 (op1 (e13) (e10)))) = ((e21) = (h8 (op1 (e13) (e10))))). % 196.48/196.63 intro zenon_D_pnotp. % 196.48/196.63 apply zenon_H305. % 196.48/196.63 rewrite <- zenon_D_pnotp. % 196.48/196.63 exact zenon_H306. % 196.48/196.63 cut (((h8 (op1 (e13) (e10))) = (h8 (op1 (e13) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H307]. % 196.48/196.63 cut (((h8 (op1 (e13) (e10))) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H308]. % 196.48/196.63 congruence. % 196.48/196.63 cut (((h8 (e13)) = (e21)) = ((h8 (op1 (e13) (e10))) = (e21))). % 196.48/196.63 intro zenon_D_pnotp. % 196.48/196.63 apply zenon_H308. % 196.48/196.63 rewrite <- zenon_D_pnotp. % 196.48/196.63 exact zenon_H27d. % 196.48/196.63 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H74]. % 196.48/196.63 cut (((h8 (e13)) = (h8 (op1 (e13) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H309]. % 196.48/196.63 congruence. % 196.48/196.63 elim (classic ((h8 (op1 (e13) (e10))) = (h8 (op1 (e13) (e10))))); [ zenon_intro zenon_H306 | zenon_intro zenon_H307 ]. % 196.48/196.63 cut (((h8 (op1 (e13) (e10))) = (h8 (op1 (e13) (e10)))) = ((h8 (e13)) = (h8 (op1 (e13) (e10))))). % 196.48/196.63 intro zenon_D_pnotp. % 196.48/196.63 apply zenon_H309. % 196.48/196.63 rewrite <- zenon_D_pnotp. % 196.48/196.63 exact zenon_H306. % 196.48/196.63 cut (((h8 (op1 (e13) (e10))) = (h8 (op1 (e13) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H307]. % 196.48/196.63 cut (((h8 (op1 (e13) (e10))) = (h8 (e13)))); [idtac | apply NNPP; zenon_intro zenon_H30a]. % 196.48/196.63 congruence. % 196.48/196.63 cut (((op1 (e13) (e10)) = (e13))); [idtac | apply NNPP; zenon_intro zenon_H30b]. % 196.48/196.63 congruence. % 196.48/196.63 exact (zenon_H30b zenon_H110). % 196.48/196.63 apply zenon_H307. apply refl_equal. % 196.48/196.63 apply zenon_H307. apply refl_equal. % 196.48/196.63 apply zenon_H74. apply refl_equal. % 196.48/196.63 apply zenon_H307. apply refl_equal. % 196.48/196.63 apply zenon_H307. apply refl_equal. % 196.48/196.63 (* end of lemma zenon_L569_ *) % 196.48/196.63 assert (zenon_L570_ : ((op2 (e21) (e20)) = (e21)) -> ((h8 (e10)) = (op2 (e22) (e22))) -> ((op2 (e22) (e22)) = (e20)) -> ((h8 (e13)) = (e21)) -> ((op1 (e13) (e10)) = (e13)) -> (~((h8 (op1 (e13) (e10))) = (op2 (h8 (e13)) (h8 (e10))))) -> False). % 196.48/196.63 do 0 intro. intros zenon_H30c zenon_Hf0 zenon_H6f zenon_H27d zenon_H110 zenon_H30d. % 196.48/196.63 elim (classic ((op2 (h8 (e13)) (h8 (e10))) = (op2 (h8 (e13)) (h8 (e10))))); [ zenon_intro zenon_H30e | zenon_intro zenon_H30f ]. % 196.48/196.63 cut (((op2 (h8 (e13)) (h8 (e10))) = (op2 (h8 (e13)) (h8 (e10)))) = ((h8 (op1 (e13) (e10))) = (op2 (h8 (e13)) (h8 (e10))))). % 196.48/196.63 intro zenon_D_pnotp. % 196.48/196.63 apply zenon_H30d. % 196.48/196.63 rewrite <- zenon_D_pnotp. % 196.48/196.63 exact zenon_H30e. % 196.48/196.63 cut (((op2 (h8 (e13)) (h8 (e10))) = (op2 (h8 (e13)) (h8 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H30f]. % 196.48/196.63 cut (((op2 (h8 (e13)) (h8 (e10))) = (h8 (op1 (e13) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H310]. % 196.48/196.63 congruence. % 196.48/196.63 cut (((op2 (e21) (e20)) = (e21)) = ((op2 (h8 (e13)) (h8 (e10))) = (h8 (op1 (e13) (e10))))). % 196.48/196.63 intro zenon_D_pnotp. % 196.48/196.63 apply zenon_H310. % 196.48/196.63 rewrite <- zenon_D_pnotp. % 196.48/196.63 exact zenon_H30c. % 196.48/196.63 cut (((e21) = (h8 (op1 (e13) (e10))))); [idtac | apply NNPP; zenon_intro zenon_H305]. % 196.48/196.63 cut (((op2 (e21) (e20)) = (op2 (h8 (e13)) (h8 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H311]. % 196.48/196.63 congruence. % 196.48/196.63 elim (classic ((op2 (h8 (e13)) (h8 (e10))) = (op2 (h8 (e13)) (h8 (e10))))); [ zenon_intro zenon_H30e | zenon_intro zenon_H30f ]. % 196.48/196.63 cut (((op2 (h8 (e13)) (h8 (e10))) = (op2 (h8 (e13)) (h8 (e10)))) = ((op2 (e21) (e20)) = (op2 (h8 (e13)) (h8 (e10))))). % 196.48/196.63 intro zenon_D_pnotp. % 196.48/196.63 apply zenon_H311. % 196.48/196.63 rewrite <- zenon_D_pnotp. % 196.48/196.63 exact zenon_H30e. % 196.48/196.63 cut (((op2 (h8 (e13)) (h8 (e10))) = (op2 (h8 (e13)) (h8 (e10))))); [idtac | apply NNPP; zenon_intro zenon_H30f]. % 196.48/196.63 cut (((op2 (h8 (e13)) (h8 (e10))) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H312]. % 196.48/196.63 congruence. % 196.48/196.63 cut (((h8 (e10)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_Hef]. % 196.48/196.63 cut (((h8 (e13)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H289]. % 196.48/196.63 congruence. % 196.48/196.63 exact (zenon_H289 zenon_H27d). % 196.48/196.63 apply (zenon_L94_); trivial. % 196.48/196.63 apply zenon_H30f. apply refl_equal. % 196.48/196.63 apply zenon_H30f. apply refl_equal. % 196.48/196.63 apply (zenon_L569_); trivial. % 196.48/196.63 apply zenon_H30f. apply refl_equal. % 196.48/196.63 apply zenon_H30f. apply refl_equal. % 196.48/196.63 (* end of lemma zenon_L570_ *) % 196.48/196.63 assert (zenon_L571_ : (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((h8 (op1 (e13) (e10))) = (op2 (h8 (e13)) (h8 (e10))))) -> ((h8 (e13)) = (e21)) -> ((op2 (e22) (e22)) = (e20)) -> ((h8 (e10)) = (op2 (e22) (e22))) -> ((op2 (e21) (e20)) = (e21)) -> ((op1 (e13) (e12)) = (e11)) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (e11) (e13)) = (e12)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (unit1) (e13)) = (e13)) -> ((op1 (e12) (e11)) = (e13)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (unit1) (e12)) = (e12)) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> False). % 196.48/196.63 do 0 intro. intros zenon_H173 zenon_H30d zenon_H27d zenon_H6f zenon_Hf0 zenon_H30c zenon_H1b1 zenon_H14c zenon_H17e zenon_H17f zenon_H111 zenon_H13a zenon_H21d zenon_H18b zenon_H11a zenon_H127 zenon_H172 zenon_H13b zenon_H10f zenon_H15b zenon_H105 zenon_H120 zenon_H121. % 196.48/196.63 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H110 | zenon_intro zenon_H174 ]. % 196.48/196.63 apply (zenon_L570_); trivial. % 196.48/196.63 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H12b | zenon_intro zenon_H175 ]. % 196.48/196.63 apply (zenon_L172_); trivial. % 196.48/196.63 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H140 | zenon_intro zenon_H15c ]. % 196.48/196.63 apply (zenon_L287_); trivial. % 196.48/196.63 apply (zenon_L133_); trivial. % 196.48/196.63 (* end of lemma zenon_L571_ *) % 196.48/196.63 assert (zenon_L572_ : (((op2 (e20) (e20)) = (e20))/\(((op2 (e21) (e21)) = (e20))/\(((op2 (e22) (e22)) = (e20))/\((op2 (e23) (e23)) = (e20))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((h8 (op1 (e13) (e10))) = (op2 (h8 (e13)) (h8 (e10))))) -> ((h8 (e13)) = (e21)) -> ((h8 (e10)) = (op2 (e22) (e22))) -> ((op2 (e21) (e20)) = (e21)) -> ((op1 (e13) (e12)) = (e11)) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (e11) (e13)) = (e12)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (unit1) (e13)) = (e13)) -> ((op1 (e12) (e11)) = (e13)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (unit1) (e12)) = (e12)) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> False). % 196.48/196.63 do 0 intro. intros zenon_H90 zenon_H173 zenon_H30d zenon_H27d zenon_Hf0 zenon_H30c zenon_H1b1 zenon_H14c zenon_H17e zenon_H17f zenon_H111 zenon_H13a zenon_H21d zenon_H18b zenon_H11a zenon_H127 zenon_H172 zenon_H13b zenon_H10f zenon_H15b zenon_H105 zenon_H120 zenon_H121. % 196.48/196.63 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H92. zenon_intro zenon_H91. % 196.48/196.63 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H94. zenon_intro zenon_H93. % 196.48/196.63 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_H6f. zenon_intro zenon_H95. % 196.48/196.63 apply (zenon_L571_); trivial. % 196.48/196.63 (* end of lemma zenon_L572_ *) % 196.48/196.63 assert (zenon_L573_ : (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e13) (e11))) -> ((op1 (unit1) (e12)) = (e12)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (e12) (e11)) = (e13)) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e11) (e13)) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (unit1) (e11)) = (e11)) -> ((op1 (e13) (e12)) = (e11)) -> ((op2 (e21) (e20)) = (e21)) -> ((h8 (e10)) = (op2 (e22) (e22))) -> ((h8 (e13)) = (e21)) -> (~((h8 (op1 (e13) (e10))) = (op2 (h8 (e13)) (h8 (e10))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((op2 (e21) (unit2)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (e23) (unit2)) = (e23)) -> ((unit2) = (e20)) -> False). % 196.48/196.63 do 0 intro. intros zenon_H121 zenon_H120 zenon_H105 zenon_H15b zenon_H10f zenon_H13b zenon_H172 zenon_H127 zenon_H11a zenon_H18b zenon_H21d zenon_H13a zenon_H111 zenon_H17f zenon_H17e zenon_H14c zenon_H1b1 zenon_H30c zenon_Hf0 zenon_H27d zenon_H30d zenon_H173 zenon_Hcf zenon_H29 zenon_H67 zenon_H40 zenon_H9e zenon_H54 zenon_H1e. % 196.48/196.63 apply (zenon_or_s _ _ ax13); [ zenon_intro zenon_H90 | zenon_intro zenon_H8f ]. % 196.48/196.63 apply (zenon_L572_); trivial. % 196.48/196.63 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H97 | zenon_intro zenon_H96 ]. % 196.48/196.63 apply (zenon_L91_); trivial. % 196.48/196.63 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H80 | zenon_intro zenon_H89 ]. % 196.48/196.63 apply (zenon_L32_); trivial. % 196.48/196.63 apply (zenon_L92_); trivial. % 196.48/196.63 (* end of lemma zenon_L573_ *) % 196.48/196.63 assert (zenon_L574_ : ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (e12) (e11)) = (e13)) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op2 (e21) (e20)) = (e21)) -> ((h8 (e10)) = (op2 (e22) (e22))) -> ((h8 (e13)) = (e21)) -> (~((h8 (op1 (e13) (e10))) = (op2 (h8 (e13)) (h8 (e10))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((op2 (e21) (unit2)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (e23) (unit2)) = (e23)) -> ((unit2) = (e20)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (unit1)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> ((op1 (e11) (e13)) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (e12) (e12)) = (e11)) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e12)) = (e12)) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> False). % 196.48/196.63 do 0 intro. intros zenon_H10f zenon_H11a zenon_H26d zenon_H15b zenon_H13b zenon_H172 zenon_H127 zenon_H18b zenon_H21d zenon_H13a zenon_H111 zenon_H30c zenon_Hf0 zenon_H27d zenon_H30d zenon_H173 zenon_Hcf zenon_H29 zenon_H67 zenon_H40 zenon_H9e zenon_H54 zenon_H1e zenon_H277 zenon_H197 zenon_H131 zenon_H186 zenon_H143 zenon_H28d zenon_H17f zenon_H17e zenon_H14d zenon_H14c zenon_H14b zenon_H105 zenon_H120 zenon_H121. % 196.48/196.63 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H102 | zenon_intro zenon_H128 ]. % 196.48/196.63 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H278 | zenon_intro zenon_H28e ]. % 196.48/196.63 apply (zenon_L423_); trivial. % 196.48/196.63 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H1b1 | zenon_intro zenon_H28f ]. % 196.48/196.63 apply (zenon_L573_); trivial. % 196.48/196.63 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H26e | zenon_intro zenon_H140 ]. % 196.48/196.63 apply (zenon_L381_); trivial. % 196.48/196.63 apply (zenon_L117_); trivial. % 196.48/196.63 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H10d | zenon_intro zenon_H129 ]. % 196.48/196.63 apply (zenon_L138_); trivial. % 196.48/196.63 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H118 | zenon_intro zenon_H11f ]. % 196.48/196.63 apply (zenon_L123_); trivial. % 196.48/196.63 apply (zenon_L107_); trivial. % 196.48/196.63 (* end of lemma zenon_L574_ *) % 196.48/196.63 assert (zenon_L575_ : (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((op1 (e12) (e13)) = (e11)) -> ((e10) = (op1 (e11) (e11))) -> ((op1 (unit1) (e10)) = (e10)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> ((op1 (e12) (e12)) = (e11)) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> ((op1 (e12) (e10)) = (e13)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (unit1) (e12)) = (e12)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> False). % 196.48/196.63 do 0 intro. intros zenon_H192 zenon_H218 zenon_H133 zenon_H132 zenon_H131 zenon_H104 zenon_H14d zenon_H14c zenon_H14b zenon_H17e zenon_H259 zenon_H256 zenon_H121 zenon_H105 zenon_H15b zenon_H10f zenon_H172 zenon_H127 zenon_H11a zenon_H18e zenon_H13a zenon_H185 zenon_H186 zenon_H18b zenon_H111 zenon_H173 zenon_H120 zenon_H13b. % 196.48/196.63 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H106 | zenon_intro zenon_H193 ]. % 196.48/196.63 apply (zenon_L342_); trivial. % 196.48/196.63 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H17f | zenon_intro zenon_H194 ]. % 196.48/196.63 apply (zenon_L363_); trivial. % 196.48/196.63 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H187 | zenon_intro zenon_H152 ]. % 196.48/196.63 apply (zenon_L149_); trivial. % 196.48/196.63 apply (zenon_L124_); trivial. % 196.48/196.63 (* end of lemma zenon_L575_ *) % 196.48/196.63 assert (zenon_L576_ : (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (e11) (e11))) -> ((op1 (unit1) (e10)) = (e10)) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((op1 (e12) (e13)) = (e11)) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((op1 (e11) (unit1)) = (e11)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e13) (e11))) -> ((op1 (unit1) (e12)) = (e12)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (e12) (e11)) = (e13)) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e11) (e13)) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (unit1) (e11)) = (e11)) -> ((op2 (e21) (e20)) = (e21)) -> ((h8 (e10)) = (op2 (e22) (e22))) -> ((h8 (e13)) = (e21)) -> (~((h8 (op1 (e13) (e10))) = (op2 (h8 (e13)) (h8 (e10))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((op2 (e21) (unit2)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (e23) (unit2)) = (e23)) -> ((unit2) = (e20)) -> False). % 196.48/196.63 do 0 intro. intros zenon_H1b5 zenon_H178 zenon_H18e zenon_H185 zenon_H133 zenon_H132 zenon_H192 zenon_H218 zenon_H104 zenon_H1a3 zenon_H19c zenon_H196 zenon_H1a7 zenon_H14b zenon_H28d zenon_H143 zenon_H186 zenon_H131 zenon_H197 zenon_H277 zenon_H26d zenon_H121 zenon_H120 zenon_H105 zenon_H15b zenon_H10f zenon_H13b zenon_H172 zenon_H127 zenon_H11a zenon_H18b zenon_H21d zenon_H13a zenon_H111 zenon_H17f zenon_H17e zenon_H14c zenon_H30c zenon_Hf0 zenon_H27d zenon_H30d zenon_H173 zenon_Hcf zenon_H29 zenon_H67 zenon_H40 zenon_H9e zenon_H54 zenon_H1e. % 196.48/196.63 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H177 | zenon_intro zenon_H1b6 ]. % 196.48/196.63 apply (zenon_L343_); trivial. % 196.48/196.63 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H198 | zenon_intro zenon_H1b7 ]. % 196.48/196.63 apply (zenon_L292_); trivial. % 196.48/196.63 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H14d | zenon_intro zenon_H1b1 ]. % 196.48/196.63 apply (zenon_L574_); trivial. % 196.48/196.63 apply (zenon_L573_); trivial. % 196.48/196.63 (* end of lemma zenon_L576_ *) % 196.48/196.63 assert (zenon_L577_ : ((unit2) = (e20)) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (e21) (unit2)) = (e21)) -> (~((h8 (op1 (e13) (e10))) = (op2 (h8 (e13)) (h8 (e10))))) -> ((h8 (e13)) = (e21)) -> ((h8 (e10)) = (op2 (e22) (e22))) -> ((op2 (e21) (e20)) = (e21)) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (e12) (e11)) = (e13)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (unit1)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> ((op1 (e12) (e13)) = (e11)) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((op1 (unit1) (e10)) = (e10)) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (unit1) (e12)) = (e12)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> False). % 196.48/196.63 do 0 intro. intros zenon_H1e zenon_H54 zenon_H9e zenon_H40 zenon_H67 zenon_H29 zenon_Hcf zenon_H30d zenon_H27d zenon_Hf0 zenon_H30c zenon_H14c zenon_H17e zenon_H21d zenon_H26d zenon_H277 zenon_H197 zenon_H131 zenon_H143 zenon_H28d zenon_H14b zenon_H1a7 zenon_H196 zenon_H19c zenon_H1a3 zenon_H104 zenon_H218 zenon_H192 zenon_H132 zenon_H133 zenon_H178 zenon_H1b5 zenon_H121 zenon_H105 zenon_H15b zenon_H10f zenon_H172 zenon_H127 zenon_H11a zenon_H18e zenon_H13a zenon_H185 zenon_H186 zenon_H18b zenon_H111 zenon_H173 zenon_H120 zenon_H13b. % 196.48/196.63 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H106 | zenon_intro zenon_H193 ]. % 196.48/196.63 apply (zenon_L290_); trivial. % 196.48/196.63 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H17f | zenon_intro zenon_H194 ]. % 196.48/196.63 apply (zenon_L576_); trivial. % 196.48/196.63 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H187 | zenon_intro zenon_H152 ]. % 196.48/196.63 apply (zenon_L149_); trivial. % 196.48/196.63 apply (zenon_L124_); trivial. % 196.48/196.63 (* end of lemma zenon_L577_ *) % 196.48/196.63 assert (zenon_L578_ : (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((op1 (e12) (e13)) = (e11)) -> ((e10) = (op1 (e11) (e11))) -> ((op1 (unit1) (e10)) = (e10)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> ((op1 (e12) (e12)) = (e11)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e12) (e13)) = (e13)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (unit1) (e12)) = (e12)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> False). % 196.48/196.63 do 0 intro. intros zenon_H192 zenon_H218 zenon_H133 zenon_H132 zenon_H131 zenon_H104 zenon_H14b zenon_H14c zenon_H14d zenon_H17e zenon_H261 zenon_H262 zenon_H121 zenon_H105 zenon_H15b zenon_H10f zenon_H172 zenon_H127 zenon_H11a zenon_H18e zenon_H13a zenon_H185 zenon_H186 zenon_H18b zenon_H111 zenon_H173 zenon_H120 zenon_H13b. % 196.48/196.63 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H106 | zenon_intro zenon_H193 ]. % 196.48/196.63 apply (zenon_L342_); trivial. % 196.48/196.63 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H17f | zenon_intro zenon_H194 ]. % 196.48/196.63 apply (zenon_L369_); trivial. % 196.48/196.63 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H187 | zenon_intro zenon_H152 ]. % 196.48/196.63 apply (zenon_L149_); trivial. % 196.48/196.63 apply (zenon_L124_); trivial. % 196.48/196.63 (* end of lemma zenon_L578_ *) % 196.48/196.63 assert (zenon_L579_ : (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (unit1) (e12)) = (e12)) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((op1 (e12) (e13)) = (e11)) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> ((op1 (e11) (unit1)) = (e11)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op2 (e21) (e20)) = (e21)) -> ((h8 (e10)) = (op2 (e22) (e22))) -> ((h8 (e13)) = (e21)) -> (~((h8 (op1 (e13) (e10))) = (op2 (h8 (e13)) (h8 (e10))))) -> ((op2 (e21) (unit2)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (e23) (unit2)) = (e23)) -> ((unit2) = (e20)) -> ((op1 (e11) (e12)) = (e13)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e10)) = (e10)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> ((op1 (e13) (e12)) = (e11)) -> False). % 196.48/196.63 do 0 intro. intros zenon_H264 zenon_H259 zenon_H173 zenon_H111 zenon_H18b zenon_H186 zenon_H185 zenon_H18e zenon_H11a zenon_H172 zenon_H105 zenon_H1b5 zenon_H178 zenon_H192 zenon_H218 zenon_H104 zenon_H1a3 zenon_H19c zenon_H196 zenon_H1a7 zenon_H28d zenon_H197 zenon_H277 zenon_H26d zenon_H17e zenon_H30c zenon_Hf0 zenon_H27d zenon_H30d zenon_Hcf zenon_H29 zenon_H67 zenon_H40 zenon_H9e zenon_H54 zenon_H1e zenon_H25f zenon_H25e zenon_H127 zenon_H13a zenon_H261 zenon_H133 zenon_H131 zenon_H10f zenon_H15b zenon_H120 zenon_H13b zenon_H14b zenon_H143 zenon_H132 zenon_H121 zenon_H14c zenon_H1b1. % 196.48/196.63 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H256 | zenon_intro zenon_H265 ]. % 196.48/196.63 apply (zenon_L389_); trivial. % 196.48/196.63 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H21d | zenon_intro zenon_H266 ]. % 196.48/196.63 apply (zenon_L577_); trivial. % 196.48/196.63 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H163 | zenon_intro zenon_H262 ]. % 196.48/196.63 apply (zenon_L367_); trivial. % 196.48/196.63 apply (zenon_L392_); trivial. % 196.48/196.63 (* end of lemma zenon_L579_ *) % 196.48/196.63 assert (zenon_L580_ : (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (unit1) (e12)) = (e12)) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> ((op1 (e11) (unit1)) = (e11)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op2 (e21) (e20)) = (e21)) -> ((h8 (e10)) = (op2 (e22) (e22))) -> ((h8 (e13)) = (e21)) -> (~((h8 (op1 (e13) (e10))) = (op2 (h8 (e13)) (h8 (e10))))) -> ((op2 (e21) (unit2)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (e23) (unit2)) = (e23)) -> ((unit2) = (e20)) -> ((op1 (e11) (e12)) = (e13)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e10)) = (e10)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> False). % 196.48/196.63 do 0 intro. intros zenon_H224 zenon_H1f4 zenon_H1f7 zenon_H264 zenon_H259 zenon_H173 zenon_H111 zenon_H18b zenon_H186 zenon_H185 zenon_H18e zenon_H11a zenon_H172 zenon_H105 zenon_H1b5 zenon_H178 zenon_H192 zenon_H104 zenon_H1a3 zenon_H19c zenon_H196 zenon_H1a7 zenon_H28d zenon_H197 zenon_H277 zenon_H26d zenon_H17e zenon_H30c zenon_Hf0 zenon_H27d zenon_H30d zenon_Hcf zenon_H29 zenon_H67 zenon_H40 zenon_H9e zenon_H54 zenon_H1e zenon_H25f zenon_H25e zenon_H127 zenon_H13a zenon_H261 zenon_H133 zenon_H131 zenon_H10f zenon_H15b zenon_H120 zenon_H13b zenon_H14b zenon_H143 zenon_H132 zenon_H121 zenon_H14c. % 196.48/196.63 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H226 ]. % 196.48/196.63 apply (zenon_L269_); trivial. % 196.48/196.63 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_H1f8 | zenon_intro zenon_H227 ]. % 196.48/196.63 apply (zenon_L349_); trivial. % 196.48/196.63 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H14d | zenon_intro zenon_H218 ]. % 196.48/196.63 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H256 | zenon_intro zenon_H265 ]. % 196.48/196.63 apply (zenon_L364_); trivial. % 196.48/196.63 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H21d | zenon_intro zenon_H266 ]. % 196.48/196.63 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H106 | zenon_intro zenon_H193 ]. % 196.48/196.63 apply (zenon_L336_); trivial. % 196.48/196.63 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H17f | zenon_intro zenon_H194 ]. % 196.48/196.63 apply (zenon_L574_); trivial. % 196.48/196.63 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H187 | zenon_intro zenon_H152 ]. % 196.48/196.63 apply (zenon_L149_); trivial. % 196.48/196.63 apply (zenon_L124_); trivial. % 196.48/196.63 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H163 | zenon_intro zenon_H262 ]. % 196.48/196.63 apply (zenon_L367_); trivial. % 196.48/196.63 apply (zenon_L528_); trivial. % 196.48/196.63 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H177 | zenon_intro zenon_H1b6 ]. % 196.48/196.63 apply (zenon_L150_); trivial. % 196.48/196.63 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H198 | zenon_intro zenon_H1b7 ]. % 196.48/196.63 apply (zenon_L292_); trivial. % 196.48/196.63 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H14d | zenon_intro zenon_H1b1 ]. % 196.48/196.63 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H256 | zenon_intro zenon_H265 ]. % 196.48/196.63 apply (zenon_L575_); trivial. % 196.48/196.63 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H21d | zenon_intro zenon_H266 ]. % 196.48/196.63 apply (zenon_L577_); trivial. % 196.48/196.63 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H163 | zenon_intro zenon_H262 ]. % 196.48/196.63 apply (zenon_L367_); trivial. % 196.48/196.63 apply (zenon_L578_); trivial. % 196.48/196.63 apply (zenon_L579_); trivial. % 196.48/196.63 (* end of lemma zenon_L580_ *) % 196.48/196.63 assert (zenon_L581_ : (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e13) (e11))) -> ((op1 (unit1) (e12)) = (e12)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> ((op1 (unit1) (e10)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((op1 (e11) (unit1)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op2 (e21) (e20)) = (e21)) -> ((h8 (e10)) = (op2 (e22) (e22))) -> ((h8 (e13)) = (e21)) -> (~((h8 (op1 (e13) (e10))) = (op2 (h8 (e13)) (h8 (e10))))) -> ((op2 (e21) (unit2)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((e10) = (e13))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e23) (e20)) = (e23)) -> ((op2 (e23) (unit2)) = (e23)) -> ((op2 (e22) (e22)) = (e21)) -> ((op2 (unit2) (e21)) = (e21)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e22)) = (e22)) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> False). % 196.48/196.63 do 0 intro. intros zenon_H49 zenon_H121 zenon_H120 zenon_H105 zenon_H15b zenon_H10f zenon_H13b zenon_H172 zenon_H127 zenon_H11a zenon_H18e zenon_H13a zenon_H185 zenon_H186 zenon_H18b zenon_H111 zenon_H173 zenon_H131 zenon_H133 zenon_H132 zenon_H143 zenon_H14c zenon_H14b zenon_H192 zenon_H104 zenon_H17e zenon_H1a3 zenon_H267 zenon_H1a7 zenon_H197 zenon_H196 zenon_H19c zenon_H178 zenon_H1b5 zenon_H224 zenon_H1f4 zenon_H1f7 zenon_H264 zenon_H259 zenon_H28d zenon_H277 zenon_H26d zenon_H30c zenon_Hf0 zenon_H27d zenon_H30d zenon_Hcf zenon_H29 zenon_H67 zenon_H9e zenon_H25e zenon_H261 zenon_H21a zenon_H223 zenon_H20f zenon_H237 zenon_H23e zenon_H26a zenon_H56 zenon_H55 zenon_H54 zenon_H78 zenon_H77 zenon_H76 zenon_H37 zenon_H40 zenon_H41. % 196.48/196.63 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H1e | zenon_intro zenon_H4a ]. % 196.48/196.63 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H236 | zenon_intro zenon_H26b ]. % 196.48/196.63 apply (zenon_L347_); trivial. % 196.48/196.63 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H162 | zenon_intro zenon_H26c ]. % 196.48/196.63 apply (zenon_L284_); trivial. % 196.48/196.63 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H25f | zenon_intro zenon_H268 ]. % 196.48/196.63 apply (zenon_L580_); trivial. % 196.48/196.63 apply (zenon_L397_); trivial. % 196.48/196.63 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2b | zenon_intro zenon_H4b ]. % 196.48/196.63 apply (zenon_L14_); trivial. % 196.48/196.63 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H3f ]. % 196.48/196.63 apply (zenon_L30_); trivial. % 196.48/196.63 apply (zenon_L9_); trivial. % 196.48/196.63 (* end of lemma zenon_L581_ *) % 196.48/196.63 assert (zenon_L582_ : (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((e10) = (e13))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> ((op2 (e21) (unit2)) = (e21)) -> (~((h8 (op1 (e13) (e10))) = (op2 (h8 (e13)) (h8 (e10))))) -> ((h8 (e13)) = (e21)) -> ((h8 (e10)) = (op2 (e22) (e22))) -> ((op2 (e21) (e20)) = (e21)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((op1 (e11) (unit1)) = (e11)) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e10)) = (e10)) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (unit1) (e12)) = (e12)) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (unit2) (e20)) = (e20)) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (unit2) (e23)) = (e23)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e21)) = (e21)) -> ((op2 (e22) (e22)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((op2 (unit2) (e22)) = (e22)) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> False). % 196.48/196.63 do 0 intro. intros zenon_H9f zenon_H26a zenon_H23e zenon_H237 zenon_H20f zenon_H223 zenon_H21a zenon_H261 zenon_H25e zenon_Hcf zenon_H30d zenon_H27d zenon_Hf0 zenon_H30c zenon_H26d zenon_H277 zenon_H28d zenon_H259 zenon_H264 zenon_H1f7 zenon_H1f4 zenon_H224 zenon_H1b5 zenon_H178 zenon_H19c zenon_H196 zenon_H197 zenon_H1a7 zenon_H267 zenon_H1a3 zenon_H17e zenon_H104 zenon_H192 zenon_H14b zenon_H14c zenon_H143 zenon_H132 zenon_H133 zenon_H131 zenon_H173 zenon_H111 zenon_H18b zenon_H186 zenon_H185 zenon_H13a zenon_H18e zenon_H11a zenon_H127 zenon_H172 zenon_H13b zenon_H10f zenon_H15b zenon_H105 zenon_H120 zenon_H121 zenon_H29 zenon_H2a zenon_H2c zenon_H56 zenon_H20 zenon_H76 zenon_H77 zenon_H78 zenon_H5d zenon_H49 zenon_H9e zenon_H67 zenon_H54 zenon_H86 zenon_H37 zenon_H40 zenon_H41. % 196.48/196.63 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H55 | zenon_intro zenon_Ha0 ]. % 196.48/196.63 apply (zenon_L581_); trivial. % 196.48/196.63 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_H61 | zenon_intro zenon_Ha1 ]. % 196.48/196.63 apply (zenon_L353_); trivial. % 196.48/196.63 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H6c | zenon_intro zenon_H87 ]. % 196.48/196.63 apply (zenon_L85_); trivial. % 196.48/196.63 apply (zenon_L40_); trivial. % 196.48/196.63 (* end of lemma zenon_L582_ *) % 196.48/196.63 assert (zenon_L583_ : (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e13) (e11))) -> ((op1 (unit1) (e12)) = (e12)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> ((op1 (unit1) (e10)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((op1 (e11) (unit1)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op2 (e21) (e20)) = (e21)) -> ((h8 (e10)) = (op2 (e22) (e22))) -> ((h8 (e13)) = (e21)) -> (~((h8 (op1 (e13) (e10))) = (op2 (h8 (e13)) (h8 (e10))))) -> ((op2 (e21) (unit2)) = (e21)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((e10) = (e13))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> ((op2 (e22) (e21)) = (e21)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e22) (e21)) = (e23)) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> ((op2 (unit2) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e21)) = (e21)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((op2 (e22) (unit2)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (unit2) (e23)) = (e23)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((op2 (unit2) (e22)) = (e22)) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> False). % 196.48/196.63 do 0 intro. intros zenon_Hdf zenon_Hc1 zenon_Hd4 zenon_Hce zenon_H121 zenon_H120 zenon_H105 zenon_H15b zenon_H10f zenon_H13b zenon_H172 zenon_H127 zenon_H11a zenon_H18e zenon_H13a zenon_H185 zenon_H186 zenon_H18b zenon_H111 zenon_H173 zenon_H131 zenon_H133 zenon_H132 zenon_H143 zenon_H14c zenon_H14b zenon_H192 zenon_H104 zenon_H17e zenon_H1a3 zenon_H267 zenon_H1a7 zenon_H197 zenon_H196 zenon_H19c zenon_H178 zenon_H1b5 zenon_H224 zenon_H1f4 zenon_H1f7 zenon_H264 zenon_H259 zenon_H28d zenon_H277 zenon_H26d zenon_H30c zenon_Hf0 zenon_H27d zenon_H30d zenon_Hcf zenon_H25e zenon_H261 zenon_H21a zenon_H223 zenon_H20f zenon_H237 zenon_H23e zenon_H26a zenon_H1d9 zenon_H1cd zenon_H1ce zenon_H1d4 zenon_Hba zenon_H1d1 zenon_Hc7 zenon_H2c zenon_H29 zenon_Ha3 zenon_Ha9 zenon_H2a zenon_H39 zenon_H77 zenon_H76 zenon_H4d zenon_Hb6 zenon_H9f zenon_H56 zenon_Hb3 zenon_Ha4 zenon_Haf zenon_H20 zenon_Hb5 zenon_H5d zenon_H49 zenon_H9e zenon_H67 zenon_H54 zenon_H86 zenon_H37 zenon_H40 zenon_H41. % 196.48/196.64 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_Hc0 | zenon_intro zenon_He0 ]. % 196.48/196.64 apply (zenon_L71_); trivial. % 196.48/196.64 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hd0 | zenon_intro zenon_He1 ]. % 196.48/196.64 apply (zenon_L79_); trivial. % 196.48/196.64 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_H78 | zenon_intro zenon_Hdb ]. % 196.48/196.64 apply (zenon_L582_); trivial. % 196.48/196.64 apply (zenon_L250_); trivial. % 196.48/196.64 (* end of lemma zenon_L583_ *) % 196.48/196.64 assert (zenon_L584_ : (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((op1 (e11) (unit1)) = (e11)) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((op1 (unit1) (e10)) = (e10)) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> ((op1 (e12) (e10)) = (e13)) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (unit1) (e12)) = (e12)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> False). % 196.48/196.64 do 0 intro. intros zenon_H1b5 zenon_H178 zenon_H143 zenon_H1a3 zenon_H19c zenon_H196 zenon_H197 zenon_H1a7 zenon_H14b zenon_H192 zenon_H131 zenon_H132 zenon_H133 zenon_H104 zenon_H256 zenon_H14c zenon_H17e zenon_H259 zenon_H121 zenon_H105 zenon_H15b zenon_H10f zenon_H172 zenon_H127 zenon_H11a zenon_H18e zenon_H13a zenon_H185 zenon_H186 zenon_H18b zenon_H111 zenon_H173 zenon_H120 zenon_H13b. % 196.48/196.64 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H177 | zenon_intro zenon_H1b6 ]. % 196.48/196.64 apply (zenon_L150_); trivial. % 196.48/196.64 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H198 | zenon_intro zenon_H1b7 ]. % 196.48/196.64 apply (zenon_L166_); trivial. % 196.48/196.64 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H14d | zenon_intro zenon_H1b1 ]. % 196.48/196.64 apply (zenon_L364_); trivial. % 196.48/196.64 apply (zenon_L389_); trivial. % 196.48/196.64 (* end of lemma zenon_L584_ *) % 196.48/196.64 assert (zenon_L585_ : (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e13) (e11))) -> ((op1 (unit1) (e12)) = (e12)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (e12) (e11)) = (e13)) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e11) (e13)) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (unit1) (e11)) = (e11)) -> ((op1 (e13) (e12)) = (e11)) -> ((op2 (e21) (e20)) = (e21)) -> ((h8 (e10)) = (op2 (e22) (e22))) -> ((h8 (e13)) = (e21)) -> (~((h8 (op1 (e13) (e10))) = (op2 (h8 (e13)) (h8 (e10))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((op2 (e23) (e22)) = (e21)) -> ((op2 (unit2) (e21)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e20)) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (e21) (unit2)) = (e21)) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> ((op2 (e22) (unit2)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (e23) (unit2)) = (e23)) -> ((unit2) = (e20)) -> False). % 196.48/196.64 do 0 intro. intros zenon_H121 zenon_H120 zenon_H105 zenon_H15b zenon_H10f zenon_H13b zenon_H172 zenon_H127 zenon_H11a zenon_H18b zenon_H21d zenon_H13a zenon_H111 zenon_H17f zenon_H17e zenon_H14c zenon_H1b1 zenon_H30c zenon_Hf0 zenon_H27d zenon_H30d zenon_H173 zenon_Hdb zenon_H77 zenon_H41 zenon_H55 zenon_H5d zenon_H56 zenon_H29 zenon_Hcf zenon_H49 zenon_Ha4 zenon_H39 zenon_H9e zenon_H54 zenon_H1e. % 196.48/196.64 apply (zenon_or_s _ _ ax13); [ zenon_intro zenon_H90 | zenon_intro zenon_H8f ]. % 196.48/196.64 apply (zenon_L572_); trivial. % 196.48/196.64 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H97 | zenon_intro zenon_H96 ]. % 196.48/196.64 apply (zenon_L97_); trivial. % 196.48/196.64 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H80 | zenon_intro zenon_H89 ]. % 196.48/196.64 apply (zenon_L98_); trivial. % 196.48/196.64 apply (zenon_L92_); trivial. % 196.48/196.64 (* end of lemma zenon_L585_ *) % 196.48/196.64 assert (zenon_L586_ : (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (unit1) (e13)) = (e13)) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (e12) (e11)) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op2 (e21) (e20)) = (e21)) -> ((h8 (e10)) = (op2 (e22) (e22))) -> ((h8 (e13)) = (e21)) -> (~((h8 (op1 (e13) (e10))) = (op2 (h8 (e13)) (h8 (e10))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((op2 (e23) (e22)) = (e21)) -> ((op2 (unit2) (e21)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e20)) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (e21) (unit2)) = (e21)) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> ((op2 (e22) (unit2)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (e23) (unit2)) = (e23)) -> ((unit2) = (e20)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (unit1)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> ((op1 (e11) (e13)) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (e12) (e12)) = (e11)) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e12)) = (e12)) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> False). % 196.48/196.64 do 0 intro. intros zenon_H15b zenon_H13a zenon_H10f zenon_H11a zenon_H127 zenon_H26d zenon_H13b zenon_H172 zenon_H18b zenon_H21d zenon_H111 zenon_H30c zenon_Hf0 zenon_H27d zenon_H30d zenon_H173 zenon_Hdb zenon_H77 zenon_H41 zenon_H55 zenon_H5d zenon_H56 zenon_H29 zenon_Hcf zenon_H49 zenon_Ha4 zenon_H39 zenon_H9e zenon_H54 zenon_H1e zenon_H277 zenon_H197 zenon_H131 zenon_H186 zenon_H143 zenon_H28d zenon_H17f zenon_H17e zenon_H14d zenon_H14c zenon_H14b zenon_H105 zenon_H120 zenon_H121. % 196.48/196.64 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H102 | zenon_intro zenon_H128 ]. % 196.48/196.64 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H278 | zenon_intro zenon_H28e ]. % 196.48/196.64 apply (zenon_L423_); trivial. % 196.48/196.64 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H1b1 | zenon_intro zenon_H28f ]. % 196.48/196.64 apply (zenon_L585_); trivial. % 196.48/196.64 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H26e | zenon_intro zenon_H140 ]. % 196.48/196.64 apply (zenon_L381_); trivial. % 196.48/196.64 apply (zenon_L191_); trivial. % 196.48/196.64 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H10d | zenon_intro zenon_H129 ]. % 196.48/196.64 apply (zenon_L138_); trivial. % 196.48/196.64 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H118 | zenon_intro zenon_H11f ]. % 196.48/196.64 apply (zenon_L123_); trivial. % 196.48/196.64 apply (zenon_L107_); trivial. % 196.48/196.64 (* end of lemma zenon_L586_ *) % 196.48/196.64 assert (zenon_L587_ : (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (e11) (e11))) -> ((op1 (unit1) (e10)) = (e10)) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((op1 (e12) (e13)) = (e11)) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((op1 (e11) (unit1)) = (e11)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e13) (e11))) -> ((op1 (unit1) (e12)) = (e12)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (e12) (e11)) = (e13)) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e11) (e13)) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (unit1) (e11)) = (e11)) -> ((op2 (e21) (e20)) = (e21)) -> ((h8 (e10)) = (op2 (e22) (e22))) -> ((h8 (e13)) = (e21)) -> (~((h8 (op1 (e13) (e10))) = (op2 (h8 (e13)) (h8 (e10))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((op2 (e23) (e22)) = (e21)) -> ((op2 (unit2) (e21)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e20)) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (e21) (unit2)) = (e21)) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> ((op2 (e22) (unit2)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (e23) (unit2)) = (e23)) -> ((unit2) = (e20)) -> False). % 196.48/196.64 do 0 intro. intros zenon_H1b5 zenon_H178 zenon_H18e zenon_H185 zenon_H133 zenon_H132 zenon_H192 zenon_H218 zenon_H104 zenon_H1a3 zenon_H19c zenon_H196 zenon_H1a7 zenon_H14b zenon_H28d zenon_H143 zenon_H186 zenon_H131 zenon_H197 zenon_H277 zenon_H26d zenon_H121 zenon_H120 zenon_H105 zenon_H15b zenon_H10f zenon_H13b zenon_H172 zenon_H127 zenon_H11a zenon_H18b zenon_H21d zenon_H13a zenon_H111 zenon_H17f zenon_H17e zenon_H14c zenon_H30c zenon_Hf0 zenon_H27d zenon_H30d zenon_H173 zenon_Hdb zenon_H77 zenon_H41 zenon_H55 zenon_H5d zenon_H56 zenon_H29 zenon_Hcf zenon_H49 zenon_Ha4 zenon_H39 zenon_H9e zenon_H54 zenon_H1e. % 196.48/196.64 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H177 | zenon_intro zenon_H1b6 ]. % 196.48/196.64 apply (zenon_L343_); trivial. % 196.48/196.64 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H198 | zenon_intro zenon_H1b7 ]. % 196.48/196.64 apply (zenon_L292_); trivial. % 196.48/196.64 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H14d | zenon_intro zenon_H1b1 ]. % 196.48/196.64 apply (zenon_L586_); trivial. % 196.48/196.64 apply (zenon_L585_); trivial. % 196.48/196.64 (* end of lemma zenon_L587_ *) % 196.48/196.64 assert (zenon_L588_ : (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (e11) (e11))) -> ((op1 (unit1) (e10)) = (e10)) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((op1 (e11) (unit1)) = (e11)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e13) (e11))) -> ((op1 (unit1) (e12)) = (e12)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (e12) (e11)) = (e13)) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e11) (e13)) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (unit1) (e11)) = (e11)) -> ((op2 (e21) (e20)) = (e21)) -> ((h8 (e10)) = (op2 (e22) (e22))) -> ((h8 (e13)) = (e21)) -> (~((h8 (op1 (e13) (e10))) = (op2 (h8 (e13)) (h8 (e10))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((op2 (e23) (e22)) = (e21)) -> ((op2 (unit2) (e21)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e20)) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (e21) (unit2)) = (e21)) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> ((op2 (e22) (unit2)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (e23) (unit2)) = (e23)) -> ((unit2) = (e20)) -> False). % 196.48/196.64 do 0 intro. intros zenon_H224 zenon_H1f4 zenon_H1f7 zenon_H1b5 zenon_H178 zenon_H18e zenon_H185 zenon_H133 zenon_H132 zenon_H192 zenon_H104 zenon_H1a3 zenon_H19c zenon_H196 zenon_H1a7 zenon_H14b zenon_H28d zenon_H143 zenon_H186 zenon_H131 zenon_H197 zenon_H277 zenon_H26d zenon_H121 zenon_H120 zenon_H105 zenon_H15b zenon_H10f zenon_H13b zenon_H172 zenon_H127 zenon_H11a zenon_H18b zenon_H21d zenon_H13a zenon_H111 zenon_H17f zenon_H17e zenon_H14c zenon_H30c zenon_Hf0 zenon_H27d zenon_H30d zenon_H173 zenon_Hdb zenon_H77 zenon_H41 zenon_H55 zenon_H5d zenon_H56 zenon_H29 zenon_Hcf zenon_H49 zenon_Ha4 zenon_H39 zenon_H9e zenon_H54 zenon_H1e. % 196.48/196.64 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H226 ]. % 196.48/196.64 apply (zenon_L269_); trivial. % 196.48/196.64 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_H1f8 | zenon_intro zenon_H227 ]. % 196.48/196.64 apply (zenon_L349_); trivial. % 196.48/196.64 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H14d | zenon_intro zenon_H218 ]. % 196.48/196.64 apply (zenon_L586_); trivial. % 196.48/196.64 apply (zenon_L587_); trivial. % 196.48/196.64 (* end of lemma zenon_L588_ *) % 196.48/196.64 assert (zenon_L589_ : (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((unit2) = (e20)) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (e22) (unit2)) = (e22)) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> ((op2 (e21) (unit2)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e20)) = (e23)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (unit2) (e21)) = (e21)) -> ((op2 (e23) (e22)) = (e21)) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((h8 (op1 (e13) (e10))) = (op2 (h8 (e13)) (h8 (e10))))) -> ((h8 (e13)) = (e21)) -> ((h8 (e10)) = (op2 (e22) (e22))) -> ((op2 (e21) (e20)) = (e21)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (e11) (e13)) = (e12)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (unit1) (e12)) = (e12)) -> ((op1 (e11) (e12)) = (e13)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e10)) = (e10)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> ((op1 (e13) (e12)) = (e11)) -> False). % 196.48/196.64 do 0 intro. intros zenon_H264 zenon_H186 zenon_H185 zenon_H18e zenon_H259 zenon_H104 zenon_H192 zenon_H1e zenon_H54 zenon_H9e zenon_H39 zenon_Ha4 zenon_H49 zenon_Hcf zenon_H29 zenon_H56 zenon_H5d zenon_H55 zenon_H41 zenon_H77 zenon_Hdb zenon_H173 zenon_H30d zenon_H27d zenon_Hf0 zenon_H30c zenon_H17e zenon_H17f zenon_H111 zenon_H18b zenon_H11a zenon_H172 zenon_H105 zenon_H25f zenon_H25e zenon_H127 zenon_H13a zenon_H261 zenon_H133 zenon_H131 zenon_H10f zenon_H15b zenon_H120 zenon_H13b zenon_H14b zenon_H143 zenon_H132 zenon_H121 zenon_H14c zenon_H1b1. % 196.48/196.64 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H256 | zenon_intro zenon_H265 ]. % 196.48/196.64 apply (zenon_L389_); trivial. % 196.48/196.64 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H21d | zenon_intro zenon_H266 ]. % 196.48/196.64 apply (zenon_L585_); trivial. % 196.48/196.64 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H163 | zenon_intro zenon_H262 ]. % 196.48/196.64 apply (zenon_L367_); trivial. % 196.48/196.64 apply (zenon_L392_); trivial. % 196.48/196.64 (* end of lemma zenon_L589_ *) % 196.48/196.64 assert (zenon_L590_ : (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((op1 (e11) (unit1)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((op1 (e11) (e12)) = (e11)) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> ((op1 (e11) (e13)) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e10)) = (e10)) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (unit1) (e12)) = (e12)) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> False). % 196.48/196.64 do 0 intro. intros zenon_H1a7 zenon_H197 zenon_H196 zenon_H198 zenon_H19c zenon_H17f zenon_H17e zenon_H1a3 zenon_H14b zenon_H14c zenon_H143 zenon_H132 zenon_H133 zenon_H131 zenon_H173 zenon_H111 zenon_H18b zenon_H186 zenon_H185 zenon_H13a zenon_H18e zenon_H11a zenon_H127 zenon_H172 zenon_H13b zenon_H10f zenon_H15b zenon_H105 zenon_H120 zenon_H121. % 196.48/196.64 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H1a0 | zenon_intro zenon_H1a8 ]. % 196.48/196.64 apply (zenon_L158_); trivial. % 196.48/196.64 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H1a4 | zenon_intro zenon_H1a9 ]. % 196.48/196.64 apply (zenon_L161_); trivial. % 196.48/196.64 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_H15a | zenon_intro zenon_H187 ]. % 196.48/196.64 apply (zenon_L165_); trivial. % 196.48/196.64 apply (zenon_L149_); trivial. % 196.48/196.64 (* end of lemma zenon_L590_ *) % 196.48/196.64 assert (zenon_L591_ : (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((op1 (e11) (e13)) = (e12)) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((op1 (e11) (unit1)) = (e11)) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> ((op1 (e11) (e13)) = (e13)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e10)) = (e10)) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (unit1) (e12)) = (e12)) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> False). % 196.48/196.64 do 0 intro. intros zenon_H1b5 zenon_H178 zenon_H17f zenon_H19c zenon_H196 zenon_H197 zenon_H1a7 zenon_H267 zenon_H268 zenon_H1a3 zenon_H17e zenon_H104 zenon_H192 zenon_H14b zenon_H14c zenon_H143 zenon_H132 zenon_H133 zenon_H131 zenon_H173 zenon_H111 zenon_H18b zenon_H186 zenon_H185 zenon_H13a zenon_H18e zenon_H11a zenon_H127 zenon_H172 zenon_H13b zenon_H10f zenon_H15b zenon_H105 zenon_H120 zenon_H121. % 196.48/196.64 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H177 | zenon_intro zenon_H1b6 ]. % 196.48/196.64 apply (zenon_L140_); trivial. % 196.48/196.64 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H198 | zenon_intro zenon_H1b7 ]. % 196.48/196.64 apply (zenon_L590_); trivial. % 196.48/196.64 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H14d | zenon_intro zenon_H1b1 ]. % 196.48/196.64 apply (zenon_L396_); trivial. % 196.48/196.64 apply (zenon_L376_); trivial. % 196.48/196.64 (* end of lemma zenon_L591_ *) % 196.48/196.64 assert (zenon_L592_ : (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((op1 (e12) (e10)) = (e12)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op2 (e21) (e20)) = (e21)) -> ((h8 (e10)) = (op2 (e22) (e22))) -> ((h8 (e13)) = (e21)) -> (~((h8 (op1 (e13) (e10))) = (op2 (h8 (e13)) (h8 (e10))))) -> ((op2 (e23) (e22)) = (e21)) -> ((op2 (unit2) (e21)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e20)) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (e21) (unit2)) = (e21)) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> ((op2 (e22) (unit2)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (e23) (unit2)) = (e23)) -> ((unit2) = (e20)) -> (~((e10) = (e13))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((op1 (e11) (e13)) = (e12)) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((op1 (e11) (unit1)) = (e11)) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e10)) = (e10)) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (unit1) (e12)) = (e12)) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> False). % 196.48/196.64 do 0 intro. intros zenon_H26a zenon_H1a0 zenon_H237 zenon_H23e zenon_H224 zenon_H1f4 zenon_H1f7 zenon_H28d zenon_H277 zenon_H26d zenon_H30c zenon_Hf0 zenon_H27d zenon_H30d zenon_Hdb zenon_H77 zenon_H41 zenon_H55 zenon_H5d zenon_H56 zenon_H29 zenon_Hcf zenon_H49 zenon_Ha4 zenon_H39 zenon_H9e zenon_H54 zenon_H1e zenon_H21a zenon_H20f zenon_H264 zenon_H259 zenon_H25e zenon_H261 zenon_H223 zenon_H1b5 zenon_H178 zenon_H17f zenon_H19c zenon_H196 zenon_H197 zenon_H1a7 zenon_H267 zenon_H1a3 zenon_H17e zenon_H104 zenon_H192 zenon_H14b zenon_H14c zenon_H143 zenon_H132 zenon_H133 zenon_H131 zenon_H173 zenon_H111 zenon_H18b zenon_H186 zenon_H185 zenon_H13a zenon_H18e zenon_H11a zenon_H127 zenon_H172 zenon_H13b zenon_H10f zenon_H15b zenon_H105 zenon_H120 zenon_H121. % 196.48/196.64 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H236 | zenon_intro zenon_H26b ]. % 196.48/196.64 apply (zenon_L483_); trivial. % 196.48/196.64 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H162 | zenon_intro zenon_H26c ]. % 196.48/196.64 apply (zenon_L284_); trivial. % 196.48/196.64 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H25f | zenon_intro zenon_H268 ]. % 196.48/196.64 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H20e | zenon_intro zenon_H225 ]. % 196.48/196.64 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H226 ]. % 196.48/196.64 apply (zenon_L269_); trivial. % 196.48/196.64 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_H1f8 | zenon_intro zenon_H227 ]. % 196.48/196.64 apply (zenon_L349_); trivial. % 196.48/196.64 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H14d | zenon_intro zenon_H218 ]. % 196.48/196.64 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H256 | zenon_intro zenon_H265 ]. % 196.48/196.64 apply (zenon_L584_); trivial. % 196.48/196.64 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H21d | zenon_intro zenon_H266 ]. % 196.48/196.64 apply (zenon_L588_); trivial. % 196.48/196.64 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H163 | zenon_intro zenon_H262 ]. % 196.48/196.64 apply (zenon_L367_); trivial. % 196.48/196.64 apply (zenon_L369_); trivial. % 196.48/196.64 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H177 | zenon_intro zenon_H1b6 ]. % 196.48/196.64 apply (zenon_L343_); trivial. % 196.48/196.64 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H198 | zenon_intro zenon_H1b7 ]. % 196.48/196.64 apply (zenon_L292_); trivial. % 196.48/196.64 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H14d | zenon_intro zenon_H1b1 ]. % 196.48/196.64 apply (zenon_L486_); trivial. % 196.48/196.64 apply (zenon_L589_); trivial. % 196.48/196.64 apply (zenon_or_s _ _ zenon_H225); [ zenon_intro zenon_H162 | zenon_intro zenon_H228 ]. % 196.48/196.64 apply (zenon_L284_); trivial. % 196.48/196.64 apply (zenon_or_s _ _ zenon_H228); [ zenon_intro zenon_H21d | zenon_intro zenon_H12b ]. % 196.48/196.64 apply (zenon_L588_); trivial. % 196.48/196.64 apply (zenon_L139_); trivial. % 196.48/196.64 apply (zenon_L591_); trivial. % 196.48/196.64 (* end of lemma zenon_L592_ *) % 196.48/196.64 assert (zenon_L593_ : (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> ((op1 (unit1) (e10)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((op1 (e11) (unit1)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((e10) = (e13))) -> ((unit2) = (e20)) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (e22) (unit2)) = (e22)) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> ((op2 (e21) (unit2)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e20)) = (e23)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (unit2) (e21)) = (e21)) -> ((op2 (e23) (e22)) = (e21)) -> (~((h8 (op1 (e13) (e10))) = (op2 (h8 (e13)) (h8 (e10))))) -> ((h8 (e13)) = (e21)) -> ((h8 (e10)) = (op2 (e22) (e22))) -> ((op2 (e21) (e20)) = (e21)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> ((op1 (e12) (e10)) = (e12)) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (unit1) (e12)) = (e12)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> False). % 196.48/196.64 do 0 intro. intros zenon_H131 zenon_H133 zenon_H132 zenon_H143 zenon_H14c zenon_H14b zenon_H192 zenon_H104 zenon_H17e zenon_H1a3 zenon_H267 zenon_H1a7 zenon_H197 zenon_H196 zenon_H19c zenon_H178 zenon_H1b5 zenon_H223 zenon_H261 zenon_H25e zenon_H259 zenon_H264 zenon_H20f zenon_H21a zenon_H1e zenon_H54 zenon_H9e zenon_H39 zenon_Ha4 zenon_H49 zenon_Hcf zenon_H29 zenon_H56 zenon_H5d zenon_H55 zenon_H41 zenon_H77 zenon_Hdb zenon_H30d zenon_H27d zenon_Hf0 zenon_H30c zenon_H26d zenon_H277 zenon_H28d zenon_H1f7 zenon_H1f4 zenon_H224 zenon_H23e zenon_H237 zenon_H1a0 zenon_H26a zenon_H121 zenon_H105 zenon_H15b zenon_H10f zenon_H172 zenon_H127 zenon_H11a zenon_H18e zenon_H13a zenon_H185 zenon_H186 zenon_H18b zenon_H111 zenon_H173 zenon_H120 zenon_H13b. % 196.48/196.64 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H106 | zenon_intro zenon_H193 ]. % 196.48/196.64 apply (zenon_L134_); trivial. % 196.48/196.64 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H17f | zenon_intro zenon_H194 ]. % 196.48/196.64 apply (zenon_L592_); trivial. % 196.48/196.64 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H187 | zenon_intro zenon_H152 ]. % 196.48/196.64 apply (zenon_L149_); trivial. % 196.48/196.64 apply (zenon_L124_); trivial. % 196.48/196.64 (* end of lemma zenon_L593_ *) % 196.48/196.64 assert (zenon_L594_ : (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op2 (e21) (e20)) = (e21)) -> ((h8 (e10)) = (op2 (e22) (e22))) -> ((h8 (e13)) = (e21)) -> (~((h8 (op1 (e13) (e10))) = (op2 (h8 (e13)) (h8 (e10))))) -> ((op2 (e23) (e22)) = (e21)) -> ((op2 (unit2) (e21)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e20)) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (e21) (unit2)) = (e21)) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> ((op2 (e22) (unit2)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (e23) (unit2)) = (e23)) -> ((unit2) = (e20)) -> (~((e10) = (e13))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((op1 (e11) (unit1)) = (e11)) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e10)) = (e10)) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (unit1) (e12)) = (e12)) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> False). % 196.48/196.64 do 0 intro. intros zenon_H26a zenon_H237 zenon_H23e zenon_H224 zenon_H1f4 zenon_H1f7 zenon_H28d zenon_H277 zenon_H26d zenon_H30c zenon_Hf0 zenon_H27d zenon_H30d zenon_Hdb zenon_H77 zenon_H41 zenon_H55 zenon_H5d zenon_H56 zenon_H29 zenon_Hcf zenon_H49 zenon_Ha4 zenon_H39 zenon_H9e zenon_H54 zenon_H1e zenon_H21a zenon_H20f zenon_H264 zenon_H259 zenon_H25e zenon_H261 zenon_H223 zenon_H1b5 zenon_H178 zenon_H19c zenon_H196 zenon_H197 zenon_H1a7 zenon_H267 zenon_H1a3 zenon_H17e zenon_H104 zenon_H192 zenon_H14b zenon_H14c zenon_H143 zenon_H132 zenon_H133 zenon_H131 zenon_H173 zenon_H111 zenon_H18b zenon_H186 zenon_H185 zenon_H13a zenon_H18e zenon_H11a zenon_H127 zenon_H172 zenon_H13b zenon_H10f zenon_H15b zenon_H105 zenon_H120 zenon_H121. % 196.48/196.64 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H1a0 | zenon_intro zenon_H1a8 ]. % 196.48/196.64 apply (zenon_L593_); trivial. % 196.48/196.64 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H1a4 | zenon_intro zenon_H1a9 ]. % 196.48/196.64 apply (zenon_L162_); trivial. % 196.48/196.64 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_H15a | zenon_intro zenon_H187 ]. % 196.48/196.64 apply (zenon_L165_); trivial. % 196.48/196.64 apply (zenon_L149_); trivial. % 196.48/196.64 (* end of lemma zenon_L594_ *) % 196.48/196.64 assert (zenon_L595_ : (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e13) (e11))) -> ((op1 (unit1) (e12)) = (e12)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> ((op1 (unit1) (e10)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((op1 (e11) (unit1)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((e10) = (e13))) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (e22) (unit2)) = (e22)) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> ((op2 (e21) (unit2)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e20)) = (e23)) -> (~((h8 (op1 (e13) (e10))) = (op2 (h8 (e13)) (h8 (e10))))) -> ((h8 (e13)) = (e21)) -> ((h8 (e10)) = (op2 (e22) (e22))) -> ((op2 (e21) (e20)) = (e21)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((e20) = (op2 (e21) (e21))) -> ((op2 (unit2) (e20)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (e22) (e23)) = (e21)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (unit2) (e21)) = (e21)) -> ((op2 (e23) (e22)) = (e21)) -> False). % 196.48/196.64 do 0 intro. intros zenon_H121 zenon_H120 zenon_H105 zenon_H15b zenon_H10f zenon_H13b zenon_H172 zenon_H127 zenon_H11a zenon_H18e zenon_H13a zenon_H185 zenon_H186 zenon_H18b zenon_H111 zenon_H173 zenon_H131 zenon_H133 zenon_H132 zenon_H143 zenon_H14c zenon_H14b zenon_H192 zenon_H104 zenon_H17e zenon_H1a3 zenon_H267 zenon_H1a7 zenon_H197 zenon_H196 zenon_H19c zenon_H178 zenon_H1b5 zenon_H223 zenon_H261 zenon_H25e zenon_H259 zenon_H264 zenon_H20f zenon_H21a zenon_H54 zenon_H9e zenon_H39 zenon_Ha4 zenon_H49 zenon_Hcf zenon_H56 zenon_H5d zenon_H55 zenon_H30d zenon_H27d zenon_Hf0 zenon_H30c zenon_H26d zenon_H277 zenon_H28d zenon_H1f7 zenon_H1f4 zenon_H224 zenon_H23e zenon_H237 zenon_H26a zenon_H2c zenon_H2a zenon_H29 zenon_H1dc zenon_Hb3 zenon_H41 zenon_H77 zenon_Hdb. % 196.48/196.64 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H1e | zenon_intro zenon_H4a ]. % 196.48/196.64 apply (zenon_L594_); trivial. % 196.48/196.64 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2b | zenon_intro zenon_H4b ]. % 196.48/196.64 apply (zenon_L5_); trivial. % 196.48/196.64 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H3f ]. % 196.48/196.64 apply (zenon_L212_); trivial. % 196.48/196.64 apply (zenon_L82_); trivial. % 196.48/196.64 (* end of lemma zenon_L595_ *) % 196.48/196.64 assert (zenon_L596_ : (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> ((op2 (e21) (e23)) = (e22)) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((op2 (unit2) (e23)) = (e23)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> ((e22) = (op2 (e23) (e21))) -> ((op2 (unit2) (e22)) = (e22)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e13) (e11))) -> ((op1 (unit1) (e12)) = (e12)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> ((op1 (unit1) (e10)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((op1 (e11) (unit1)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((e10) = (e13))) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (e22) (unit2)) = (e22)) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> ((op2 (e21) (unit2)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e20)) = (e23)) -> (~((h8 (op1 (e13) (e10))) = (op2 (h8 (e13)) (h8 (e10))))) -> ((h8 (e13)) = (e21)) -> ((h8 (e10)) = (op2 (e22) (e22))) -> ((op2 (e21) (e20)) = (e21)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((e20) = (op2 (e21) (e21))) -> ((op2 (unit2) (e20)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (e22) (e23)) = (e21)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (unit2) (e21)) = (e21)) -> False). % 196.48/196.64 do 0 intro. intros zenon_Hdf zenon_Haa zenon_Hc1 zenon_H86 zenon_Hb5 zenon_H20 zenon_Haf zenon_H9f zenon_Hb6 zenon_H4d zenon_Ha9 zenon_Ha3 zenon_Hd4 zenon_Hce zenon_Hba zenon_H40 zenon_H37 zenon_H76 zenon_H67 zenon_H121 zenon_H120 zenon_H105 zenon_H15b zenon_H10f zenon_H13b zenon_H172 zenon_H127 zenon_H11a zenon_H18e zenon_H13a zenon_H185 zenon_H186 zenon_H18b zenon_H111 zenon_H173 zenon_H131 zenon_H133 zenon_H132 zenon_H143 zenon_H14c zenon_H14b zenon_H192 zenon_H104 zenon_H17e zenon_H1a3 zenon_H267 zenon_H1a7 zenon_H197 zenon_H196 zenon_H19c zenon_H178 zenon_H1b5 zenon_H223 zenon_H261 zenon_H25e zenon_H259 zenon_H264 zenon_H20f zenon_H21a zenon_H54 zenon_H9e zenon_H39 zenon_Ha4 zenon_H49 zenon_Hcf zenon_H56 zenon_H5d zenon_H55 zenon_H30d zenon_H27d zenon_Hf0 zenon_H30c zenon_H26d zenon_H277 zenon_H28d zenon_H1f7 zenon_H1f4 zenon_H224 zenon_H23e zenon_H237 zenon_H26a zenon_H2c zenon_H2a zenon_H29 zenon_H1dc zenon_Hb3 zenon_H41 zenon_H77. % 196.48/196.64 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_Hc0 | zenon_intro zenon_He0 ]. % 196.48/196.64 apply (zenon_L251_); trivial. % 196.48/196.64 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hd0 | zenon_intro zenon_He1 ]. % 196.48/196.64 apply (zenon_L79_); trivial. % 196.48/196.64 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_H78 | zenon_intro zenon_Hdb ]. % 196.48/196.64 apply (zenon_L581_); trivial. % 196.48/196.64 apply (zenon_L595_); trivial. % 196.48/196.64 (* end of lemma zenon_L596_ *) % 196.48/196.64 assert (zenon_L597_ : (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((op2 (e22) (e23)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op2 (e21) (e20)) = (e21)) -> ((h8 (e10)) = (op2 (e22) (e22))) -> ((h8 (e13)) = (e21)) -> (~((h8 (op1 (e13) (e10))) = (op2 (h8 (e13)) (h8 (e10))))) -> ((op2 (e21) (unit2)) = (e21)) -> ((op2 (e22) (unit2)) = (e22)) -> (~((e10) = (e13))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((op1 (e11) (unit1)) = (e11)) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e10)) = (e10)) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (unit1) (e12)) = (e12)) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> ((op2 (e21) (e23)) = (e22)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (unit2) (e23)) = (e23)) -> ((op2 (unit2) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e21)) = (e21)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((op2 (unit2) (e22)) = (e22)) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> False). % 196.48/196.64 do 0 intro. intros zenon_Hb3 zenon_H1dc zenon_H29 zenon_H2c zenon_H26a zenon_H237 zenon_H23e zenon_H224 zenon_H1f4 zenon_H1f7 zenon_H28d zenon_H277 zenon_H26d zenon_H30c zenon_Hf0 zenon_H27d zenon_H30d zenon_Hcf zenon_Ha4 zenon_H21a zenon_H20f zenon_H264 zenon_H259 zenon_H25e zenon_H261 zenon_H223 zenon_H1b5 zenon_H178 zenon_H19c zenon_H196 zenon_H197 zenon_H1a7 zenon_H267 zenon_H1a3 zenon_H17e zenon_H104 zenon_H192 zenon_H14b zenon_H14c zenon_H143 zenon_H132 zenon_H133 zenon_H131 zenon_H173 zenon_H111 zenon_H18b zenon_H186 zenon_H185 zenon_H13a zenon_H18e zenon_H11a zenon_H127 zenon_H172 zenon_H13b zenon_H10f zenon_H15b zenon_H105 zenon_H120 zenon_H121 zenon_Hba zenon_Hce zenon_Hd4 zenon_Ha3 zenon_H4d zenon_Hb6 zenon_H9f zenon_Haf zenon_Hb5 zenon_Hc1 zenon_Hdf zenon_Ha9 zenon_Haa zenon_H56 zenon_H20 zenon_H2a zenon_H39 zenon_H77 zenon_H76 zenon_H5d zenon_H49 zenon_H9e zenon_H67 zenon_H54 zenon_H86 zenon_H37 zenon_H40 zenon_H41. % 196.48/196.64 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H55 | zenon_intro zenon_Ha0 ]. % 196.48/196.64 apply (zenon_L596_); trivial. % 196.48/196.64 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_H61 | zenon_intro zenon_Ha1 ]. % 196.48/196.64 apply (zenon_L47_); trivial. % 196.48/196.64 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H6c | zenon_intro zenon_H87 ]. % 196.48/196.64 apply (zenon_L37_); trivial. % 196.48/196.64 apply (zenon_L40_); trivial. % 196.48/196.64 (* end of lemma zenon_L597_ *) % 196.48/196.64 assert (zenon_L598_ : (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e21)) = (e21)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e20)) = (e20)) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e13) (e11))) -> ((op1 (unit1) (e12)) = (e12)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> ((op1 (unit1) (e10)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((op1 (e11) (unit1)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((e10) = (e13))) -> ((op2 (e21) (unit2)) = (e21)) -> (~((h8 (op1 (e13) (e10))) = (op2 (h8 (e13)) (h8 (e10))))) -> ((h8 (e13)) = (e21)) -> ((h8 (e10)) = (op2 (e22) (e22))) -> ((op2 (e21) (e20)) = (e21)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (e22) (e23)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (unit2) (e22)) = (e22)) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((op2 (unit2) (e23)) = (e23)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e22) (unit2)) = (e22)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> False). % 196.48/196.65 do 0 intro. intros zenon_H76 zenon_H77 zenon_H39 zenon_H2a zenon_Ha9 zenon_Hdf zenon_Hc1 zenon_Hb6 zenon_H4d zenon_Ha3 zenon_Hd4 zenon_Hce zenon_Hba zenon_H121 zenon_H120 zenon_H105 zenon_H15b zenon_H10f zenon_H13b zenon_H172 zenon_H127 zenon_H11a zenon_H18e zenon_H13a zenon_H185 zenon_H186 zenon_H18b zenon_H111 zenon_H173 zenon_H131 zenon_H133 zenon_H132 zenon_H143 zenon_H14c zenon_H14b zenon_H192 zenon_H104 zenon_H17e zenon_H1a3 zenon_H267 zenon_H1a7 zenon_H197 zenon_H196 zenon_H19c zenon_H178 zenon_H1b5 zenon_H223 zenon_H261 zenon_H25e zenon_H259 zenon_H264 zenon_H20f zenon_H21a zenon_Hcf zenon_H30d zenon_H27d zenon_Hf0 zenon_H30c zenon_H26d zenon_H277 zenon_H28d zenon_H1f7 zenon_H1f4 zenon_H224 zenon_H23e zenon_H237 zenon_H26a zenon_H2c zenon_H29 zenon_H1dc zenon_H41 zenon_H37 zenon_H86 zenon_H54 zenon_H9e zenon_H49 zenon_H5d zenon_Hb5 zenon_H20 zenon_Haf zenon_Ha4 zenon_Hb3 zenon_H56 zenon_H9f zenon_H40 zenon_H67. % 196.48/196.65 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_H4e | zenon_intro zenon_Hb7 ]. % 196.48/196.65 apply (zenon_L214_); trivial. % 196.48/196.65 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_Haa | zenon_intro zenon_Hb8 ]. % 196.48/196.65 apply (zenon_L597_); trivial. % 196.48/196.65 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H7d ]. % 196.48/196.65 apply (zenon_L55_); trivial. % 196.48/196.65 apply (zenon_L31_); trivial. % 196.48/196.65 (* end of lemma zenon_L598_ *) % 196.48/196.65 assert (zenon_L599_ : (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((e20) = (e23))) -> ((e22) = (op2 (e23) (e21))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((op2 (e22) (unit2)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((op2 (unit2) (e22)) = (e22)) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((op2 (e21) (e20)) = (e21)) -> ((h8 (e10)) = (op2 (e22) (e22))) -> ((h8 (e13)) = (e21)) -> (~((h8 (op1 (e13) (e10))) = (op2 (h8 (e13)) (h8 (e10))))) -> ((op2 (e21) (unit2)) = (e21)) -> (~((e10) = (e13))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((op1 (e11) (unit1)) = (e11)) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e10)) = (e10)) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (unit1) (e12)) = (e12)) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e21)) = (e21)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> ((op2 (unit2) (e20)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e23) (unit2)) = (e23)) -> ((op2 (unit2) (e23)) = (e23)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> False). % 196.48/196.65 do 0 intro. intros zenon_H1ca zenon_H22 zenon_Hbd zenon_H40 zenon_H9f zenon_Hb3 zenon_Ha4 zenon_Haf zenon_Hb5 zenon_H5d zenon_H9e zenon_H86 zenon_H37 zenon_H26a zenon_H237 zenon_H23e zenon_H224 zenon_H1f4 zenon_H1f7 zenon_H28d zenon_H277 zenon_H26d zenon_H30c zenon_Hf0 zenon_H27d zenon_H30d zenon_Hcf zenon_H21a zenon_H20f zenon_H264 zenon_H259 zenon_H25e zenon_H261 zenon_H223 zenon_H1b5 zenon_H178 zenon_H19c zenon_H196 zenon_H197 zenon_H1a7 zenon_H267 zenon_H1a3 zenon_H17e zenon_H104 zenon_H192 zenon_H14b zenon_H14c zenon_H143 zenon_H132 zenon_H133 zenon_H131 zenon_H173 zenon_H111 zenon_H18b zenon_H186 zenon_H185 zenon_H13a zenon_H18e zenon_H11a zenon_H127 zenon_H172 zenon_H13b zenon_H10f zenon_H15b zenon_H105 zenon_H120 zenon_H121 zenon_Hba zenon_Hce zenon_Hd4 zenon_Ha3 zenon_H4d zenon_Hb6 zenon_Hc1 zenon_Hdf zenon_Ha9 zenon_H39 zenon_H77 zenon_H76 zenon_H1d9 zenon_H1cd zenon_H1d4 zenon_H1d1 zenon_Hd8 zenon_H1de zenon_H49 zenon_H56 zenon_H2c zenon_H2a zenon_H29 zenon_H41 zenon_H54 zenon_H20 zenon_H67. % 196.48/196.65 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H21 | zenon_intro zenon_H1cb ]. % 196.48/196.65 apply (zenon_L64_); trivial. % 196.48/196.65 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H8d | zenon_intro zenon_H1cc ]. % 196.48/196.65 apply (zenon_L65_); trivial. % 196.48/196.65 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H61 ]. % 196.48/196.65 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_Hd9 | zenon_intro zenon_H1df ]. % 196.48/196.65 apply (zenon_L324_); trivial. % 196.48/196.65 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H1ce | zenon_intro zenon_H1e0 ]. % 196.48/196.65 apply (zenon_L583_); trivial. % 196.48/196.65 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H78 | zenon_intro zenon_H1dc ]. % 196.48/196.65 apply (zenon_L582_); trivial. % 196.48/196.65 apply (zenon_L598_); trivial. % 196.48/196.65 apply (zenon_L23_); trivial. % 196.48/196.65 (* end of lemma zenon_L599_ *) % 196.48/196.65 assert (zenon_L600_ : (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> ((op2 (e21) (unit2)) = (e21)) -> ((unit2) = (e20)) -> ((op2 (e21) (e23)) = (e21)) -> False). % 196.48/196.65 do 0 intro. intros zenon_H22d zenon_Hcf zenon_H1e zenon_H313. % 196.48/196.65 cut (((op2 (e21) (unit2)) = (e21)) = ((op2 (e21) (e20)) = (op2 (e21) (e23)))). % 196.48/196.65 intro zenon_D_pnotp. % 196.48/196.65 apply zenon_H22d. % 196.48/196.65 rewrite <- zenon_D_pnotp. % 196.48/196.65 exact zenon_Hcf. % 196.48/196.65 cut (((e21) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H314]. % 196.48/196.65 cut (((op2 (e21) (unit2)) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_Hd2]. % 196.48/196.65 congruence. % 196.48/196.65 elim (classic ((op2 (e21) (e20)) = (op2 (e21) (e20)))); [ zenon_intro zenon_H2f | zenon_intro zenon_H30 ]. % 196.48/196.65 cut (((op2 (e21) (e20)) = (op2 (e21) (e20))) = ((op2 (e21) (unit2)) = (op2 (e21) (e20)))). % 196.48/196.65 intro zenon_D_pnotp. % 196.48/196.65 apply zenon_Hd2. % 196.48/196.65 rewrite <- zenon_D_pnotp. % 196.48/196.65 exact zenon_H2f. % 196.48/196.65 cut (((op2 (e21) (e20)) = (op2 (e21) (e20)))); [idtac | apply NNPP; zenon_intro zenon_H30]. % 196.48/196.65 cut (((op2 (e21) (e20)) = (op2 (e21) (unit2)))); [idtac | apply NNPP; zenon_intro zenon_Hcd]. % 196.48/196.65 congruence. % 196.48/196.65 apply (zenon_L72_); trivial. % 196.48/196.65 apply zenon_H30. apply refl_equal. % 196.48/196.65 apply zenon_H30. apply refl_equal. % 196.48/196.65 apply zenon_H314. apply sym_equal. exact zenon_H313. % 196.48/196.65 (* end of lemma zenon_L600_ *) % 196.48/196.65 assert (zenon_L601_ : (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> ((op2 (e21) (e23)) = (e21)) -> ((op2 (e21) (unit2)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e20)) = (e23)) -> ((op2 (e23) (unit2)) = (e23)) -> ((op2 (unit2) (e22)) = (e22)) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> False). % 196.48/196.65 do 0 intro. intros zenon_H49 zenon_H313 zenon_Hcf zenon_H22d zenon_H56 zenon_H5d zenon_H55 zenon_H54 zenon_H37 zenon_H40 zenon_H41. % 196.48/196.65 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H1e | zenon_intro zenon_H4a ]. % 196.48/196.65 apply (zenon_L600_); trivial. % 196.48/196.65 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2b | zenon_intro zenon_H4b ]. % 196.48/196.65 apply (zenon_L14_); trivial. % 196.48/196.65 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H3f ]. % 196.48/196.65 apply (zenon_L16_); trivial. % 196.48/196.65 apply (zenon_L9_); trivial. % 196.48/196.65 (* end of lemma zenon_L601_ *) % 196.48/196.65 assert (zenon_L602_ : (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> ((op2 (unit2) (e21)) = (e21)) -> ((unit2) = (e21)) -> ((op2 (e21) (e23)) = (e21)) -> False). % 196.48/196.65 do 0 intro. intros zenon_H315 zenon_H77 zenon_H2b zenon_H313. % 196.48/196.65 cut (((op2 (unit2) (e21)) = (e21)) = ((op2 (e21) (e21)) = (op2 (e21) (e23)))). % 196.48/196.65 intro zenon_D_pnotp. % 196.48/196.65 apply zenon_H315. % 196.48/196.65 rewrite <- zenon_D_pnotp. % 196.48/196.65 exact zenon_H77. % 196.48/196.65 cut (((e21) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H314]. % 196.48/196.65 cut (((op2 (unit2) (e21)) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_Hd5]. % 196.48/196.65 congruence. % 196.48/196.65 elim (classic ((op2 (e21) (e21)) = (op2 (e21) (e21)))); [ zenon_intro zenon_Hd6 | zenon_intro zenon_Hd7 ]. % 196.48/196.65 cut (((op2 (e21) (e21)) = (op2 (e21) (e21))) = ((op2 (unit2) (e21)) = (op2 (e21) (e21)))). % 196.48/196.65 intro zenon_D_pnotp. % 196.48/196.65 apply zenon_Hd5. % 196.48/196.65 rewrite <- zenon_D_pnotp. % 196.48/196.65 exact zenon_Hd6. % 196.48/196.65 cut (((op2 (e21) (e21)) = (op2 (e21) (e21)))); [idtac | apply NNPP; zenon_intro zenon_Hd7]. % 196.48/196.65 cut (((op2 (e21) (e21)) = (op2 (unit2) (e21)))); [idtac | apply NNPP; zenon_intro zenon_Hd3]. % 196.48/196.65 congruence. % 196.48/196.65 apply (zenon_L75_); trivial. % 196.48/196.65 apply zenon_Hd7. apply refl_equal. % 196.48/196.65 apply zenon_Hd7. apply refl_equal. % 196.48/196.65 apply zenon_H314. apply sym_equal. exact zenon_H313. % 196.48/196.65 (* end of lemma zenon_L602_ *) % 196.48/196.65 assert (zenon_L603_ : (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> ((op2 (e21) (unit2)) = (e21)) -> ((unit2) = (e22)) -> ((op2 (e21) (e23)) = (e21)) -> False). % 196.48/196.65 do 0 intro. intros zenon_Ha9 zenon_Hcf zenon_H35 zenon_H313. % 196.48/196.65 cut (((op2 (e21) (unit2)) = (e21)) = ((op2 (e21) (e22)) = (op2 (e21) (e23)))). % 196.48/196.65 intro zenon_D_pnotp. % 196.48/196.65 apply zenon_Ha9. % 196.48/196.65 rewrite <- zenon_D_pnotp. % 196.48/196.65 exact zenon_Hcf. % 196.48/196.65 cut (((e21) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H314]. % 196.48/196.65 cut (((op2 (e21) (unit2)) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H316]. % 196.48/196.65 congruence. % 196.48/196.65 elim (classic ((op2 (e21) (e22)) = (op2 (e21) (e22)))); [ zenon_intro zenon_Had | zenon_intro zenon_Hae ]. % 196.48/196.65 cut (((op2 (e21) (e22)) = (op2 (e21) (e22))) = ((op2 (e21) (unit2)) = (op2 (e21) (e22)))). % 196.48/196.65 intro zenon_D_pnotp. % 196.48/196.65 apply zenon_H316. % 196.48/196.65 rewrite <- zenon_D_pnotp. % 196.48/196.65 exact zenon_Had. % 196.48/196.65 cut (((op2 (e21) (e22)) = (op2 (e21) (e22)))); [idtac | apply NNPP; zenon_intro zenon_Hae]. % 196.48/196.65 cut (((op2 (e21) (e22)) = (op2 (e21) (unit2)))); [idtac | apply NNPP; zenon_intro zenon_H317]. % 196.48/196.65 congruence. % 196.48/196.65 cut (((e22) = (unit2))); [idtac | apply NNPP; zenon_intro zenon_H36]. % 196.48/196.65 cut (((e21) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H74]. % 196.48/196.65 congruence. % 196.48/196.65 apply zenon_H74. apply refl_equal. % 196.48/196.65 apply zenon_H36. apply sym_equal. exact zenon_H35. % 196.48/196.65 apply zenon_Hae. apply refl_equal. % 196.48/196.65 apply zenon_Hae. apply refl_equal. % 196.48/196.65 apply zenon_H314. apply sym_equal. exact zenon_H313. % 196.48/196.65 (* end of lemma zenon_L603_ *) % 196.48/196.65 assert (zenon_L604_ : (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> ((op2 (unit2) (e21)) = (e21)) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> ((op2 (e21) (e23)) = (e21)) -> ((op2 (e21) (unit2)) = (e21)) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> ((op2 (unit2) (e23)) = (e23)) -> ((op2 (e23) (e21)) = (e23)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> False). % 196.48/196.65 do 0 intro. intros zenon_H49 zenon_H22d zenon_H77 zenon_H315 zenon_H313 zenon_Hcf zenon_Ha9 zenon_H20 zenon_H61 zenon_H67. % 196.48/196.65 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H1e | zenon_intro zenon_H4a ]. % 196.48/196.65 apply (zenon_L600_); trivial. % 196.48/196.65 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2b | zenon_intro zenon_H4b ]. % 196.48/196.65 apply (zenon_L602_); trivial. % 196.48/196.65 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H3f ]. % 196.48/196.65 apply (zenon_L603_); trivial. % 196.48/196.65 apply (zenon_L22_); trivial. % 196.48/196.65 (* end of lemma zenon_L604_ *) % 196.48/196.65 assert (zenon_L605_ : (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e21) (e23)) = (e21)) -> ((op2 (e21) (unit2)) = (e21)) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> ((op2 (unit2) (e23)) = (e23)) -> ((op2 (e23) (e22)) = (e23)) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> False). % 196.48/196.65 do 0 intro. intros zenon_H49 zenon_H5d zenon_H54 zenon_H41 zenon_H313 zenon_Hcf zenon_Ha9 zenon_H20 zenon_H6c zenon_H86. % 196.48/196.65 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H1e | zenon_intro zenon_H4a ]. % 196.48/196.65 apply (zenon_L24_); trivial. % 196.48/196.65 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2b | zenon_intro zenon_H4b ]. % 196.48/196.65 apply (zenon_L25_); trivial. % 196.48/196.65 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H3f ]. % 196.48/196.65 apply (zenon_L603_); trivial. % 196.48/196.65 apply (zenon_L36_); trivial. % 196.48/196.65 (* end of lemma zenon_L605_ *) % 196.48/196.65 assert (zenon_L606_ : (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> ((op2 (unit2) (e21)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> ((op2 (unit2) (e23)) = (e23)) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> ((op2 (e21) (unit2)) = (e21)) -> ((op2 (e21) (e23)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((op2 (unit2) (e22)) = (e22)) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> False). % 196.48/196.65 do 0 intro. intros zenon_H9f zenon_H56 zenon_H315 zenon_H77 zenon_H22d zenon_H20 zenon_Ha9 zenon_Hcf zenon_H313 zenon_H5d zenon_H49 zenon_H9e zenon_H67 zenon_H54 zenon_H86 zenon_H37 zenon_H40 zenon_H41. % 196.48/196.65 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H55 | zenon_intro zenon_Ha0 ]. % 196.48/196.65 apply (zenon_L601_); trivial. % 196.48/196.65 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_H61 | zenon_intro zenon_Ha1 ]. % 196.48/196.65 apply (zenon_L604_); trivial. % 196.48/196.65 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H6c | zenon_intro zenon_H87 ]. % 196.48/196.65 apply (zenon_L605_); trivial. % 196.48/196.65 apply (zenon_L40_); trivial. % 196.48/196.65 (* end of lemma zenon_L606_ *) % 196.48/196.65 assert (zenon_L607_ : (((op2 (e21) (e20)) = (e21))\/(((op2 (e21) (e21)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/((op2 (e21) (e23)) = (e21))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e13) (e11))) -> ((op1 (unit1) (e12)) = (e12)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> ((op1 (unit1) (e10)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((op1 (e11) (unit1)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((e10) = (e13))) -> (~((h8 (op1 (e13) (e10))) = (op2 (h8 (e13)) (h8 (e10))))) -> ((h8 (e13)) = (e21)) -> ((h8 (e10)) = (op2 (e22) (e22))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((e20) = (e23))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e22) (unit2)) = (e22)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e20)) = (e20)) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e23)))) -> ((op2 (unit2) (e21)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> ((op2 (unit2) (e23)) = (e23)) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> ((op2 (e21) (unit2)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((op2 (unit2) (e22)) = (e22)) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> False). % 196.48/196.65 do 0 intro. intros zenon_H318 zenon_H121 zenon_H120 zenon_H105 zenon_H15b zenon_H10f zenon_H13b zenon_H172 zenon_H127 zenon_H11a zenon_H18e zenon_H13a zenon_H185 zenon_H186 zenon_H18b zenon_H111 zenon_H173 zenon_H131 zenon_H133 zenon_H132 zenon_H143 zenon_H14c zenon_H14b zenon_H192 zenon_H104 zenon_H17e zenon_H1a3 zenon_H267 zenon_H1a7 zenon_H197 zenon_H196 zenon_H19c zenon_H178 zenon_H1b5 zenon_H223 zenon_H261 zenon_H25e zenon_H259 zenon_H264 zenon_H20f zenon_H21a zenon_H30d zenon_H27d zenon_Hf0 zenon_H26d zenon_H277 zenon_H28d zenon_H1f7 zenon_H1f4 zenon_H224 zenon_H23e zenon_H237 zenon_H26a zenon_H1de zenon_Hd8 zenon_H1d1 zenon_H1d4 zenon_H1cd zenon_H1d9 zenon_H1ca zenon_H22 zenon_Hbd zenon_Hdf zenon_Hc1 zenon_Hb5 zenon_Haf zenon_Ha4 zenon_Hb3 zenon_Hb6 zenon_H4d zenon_H76 zenon_H39 zenon_H2a zenon_H2c zenon_H29 zenon_Ha3 zenon_Hd4 zenon_Hce zenon_Hba zenon_H9f zenon_H56 zenon_H315 zenon_H77 zenon_H22d zenon_H20 zenon_Ha9 zenon_Hcf zenon_H5d zenon_H49 zenon_H9e zenon_H67 zenon_H54 zenon_H86 zenon_H37 zenon_H40 zenon_H41. % 196.48/196.65 apply (zenon_or_s _ _ zenon_H318); [ zenon_intro zenon_H30c | zenon_intro zenon_H319 ]. % 196.48/196.65 apply (zenon_L599_); trivial. % 196.48/196.65 apply (zenon_or_s _ _ zenon_H319); [ zenon_intro zenon_H9b | zenon_intro zenon_H31a ]. % 196.48/196.65 apply (zenon_L448_); trivial. % 196.48/196.65 apply (zenon_or_s _ _ zenon_H31a); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H313 ]. % 196.48/196.65 apply (zenon_L79_); trivial. % 196.48/196.65 apply (zenon_L606_); trivial. % 196.48/196.65 (* end of lemma zenon_L607_ *) % 196.48/196.65 assert (zenon_L608_ : (~((h8 (op1 (e13) (e11))) = (op2 (h8 (e13)) (h8 (e11))))) -> ((h8 (e12)) = (op2 (e21) (e22))) -> ((e12) = (op1 (e13) (e11))) -> ((h8 (e11)) = (e22)) -> ((h8 (e13)) = (e21)) -> False). % 196.48/196.65 do 0 intro. intros zenon_H31b zenon_H244 zenon_H120 zenon_H1fd zenon_H27d. % 196.48/196.65 cut (((h8 (e12)) = (op2 (e21) (e22))) = ((h8 (op1 (e13) (e11))) = (op2 (h8 (e13)) (h8 (e11))))). % 196.48/196.65 intro zenon_D_pnotp. % 196.48/196.65 apply zenon_H31b. % 196.48/196.65 rewrite <- zenon_D_pnotp. % 196.48/196.65 exact zenon_H244. % 196.48/196.65 cut (((op2 (e21) (e22)) = (op2 (h8 (e13)) (h8 (e11))))); [idtac | apply NNPP; zenon_intro zenon_H31c]. % 196.48/196.65 cut (((h8 (e12)) = (h8 (op1 (e13) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H31d]. % 196.48/196.65 congruence. % 196.48/196.65 elim (classic ((h8 (op1 (e13) (e11))) = (h8 (op1 (e13) (e11))))); [ zenon_intro zenon_H31e | zenon_intro zenon_H31f ]. % 196.48/196.65 cut (((h8 (op1 (e13) (e11))) = (h8 (op1 (e13) (e11)))) = ((h8 (e12)) = (h8 (op1 (e13) (e11))))). % 196.48/196.65 intro zenon_D_pnotp. % 196.48/196.65 apply zenon_H31d. % 196.48/196.65 rewrite <- zenon_D_pnotp. % 196.48/196.65 exact zenon_H31e. % 196.48/196.65 cut (((h8 (op1 (e13) (e11))) = (h8 (op1 (e13) (e11))))); [idtac | apply NNPP; zenon_intro zenon_H31f]. % 196.48/196.65 cut (((h8 (op1 (e13) (e11))) = (h8 (e12)))); [idtac | apply NNPP; zenon_intro zenon_H320]. % 196.48/196.65 congruence. % 196.48/196.65 cut (((op1 (e13) (e11)) = (e12))); [idtac | apply NNPP; zenon_intro zenon_H321]. % 196.48/196.65 congruence. % 196.48/196.65 apply zenon_H321. apply sym_equal. exact zenon_H120. % 196.48/196.65 apply zenon_H31f. apply refl_equal. % 196.48/196.65 apply zenon_H31f. apply refl_equal. % 196.48/196.65 cut (((e22) = (h8 (e11)))); [idtac | apply NNPP; zenon_intro zenon_H2b5]. % 196.48/196.65 cut (((e21) = (h8 (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2fd]. % 196.48/196.65 congruence. % 196.48/196.65 apply zenon_H2fd. apply sym_equal. exact zenon_H27d. % 196.48/196.65 apply zenon_H2b5. apply sym_equal. exact zenon_H1fd. % 196.48/196.65 (* end of lemma zenon_L608_ *) % 196.48/196.65 assert (zenon_L609_ : ((h8 (e11)) = (e22)) -> ((op1 (e13) (e12)) = (e11)) -> (~((e22) = (h8 (op1 (e13) (e12))))) -> False). % 196.48/196.65 do 0 intro. intros zenon_H1fd zenon_H1b1 zenon_H322. % 196.48/196.65 elim (classic ((h8 (op1 (e13) (e12))) = (h8 (op1 (e13) (e12))))); [ zenon_intro zenon_H323 | zenon_intro zenon_H324 ]. % 196.48/196.65 cut (((h8 (op1 (e13) (e12))) = (h8 (op1 (e13) (e12)))) = ((e22) = (h8 (op1 (e13) (e12))))). % 196.48/196.65 intro zenon_D_pnotp. % 196.48/196.65 apply zenon_H322. % 196.48/196.65 rewrite <- zenon_D_pnotp. % 196.48/196.65 exact zenon_H323. % 196.48/196.65 cut (((h8 (op1 (e13) (e12))) = (h8 (op1 (e13) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H324]. % 196.48/196.65 cut (((h8 (op1 (e13) (e12))) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H325]. % 196.48/196.65 congruence. % 196.48/196.65 cut (((h8 (e11)) = (e22)) = ((h8 (op1 (e13) (e12))) = (e22))). % 196.48/196.65 intro zenon_D_pnotp. % 196.48/196.65 apply zenon_H325. % 196.48/196.65 rewrite <- zenon_D_pnotp. % 196.48/196.65 exact zenon_H1fd. % 196.48/196.65 cut (((e22) = (e22))); [idtac | apply NNPP; zenon_intro zenon_H33]. % 196.48/196.65 cut (((h8 (e11)) = (h8 (op1 (e13) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H326]. % 196.48/196.65 congruence. % 196.48/196.65 elim (classic ((h8 (op1 (e13) (e12))) = (h8 (op1 (e13) (e12))))); [ zenon_intro zenon_H323 | zenon_intro zenon_H324 ]. % 196.48/196.65 cut (((h8 (op1 (e13) (e12))) = (h8 (op1 (e13) (e12)))) = ((h8 (e11)) = (h8 (op1 (e13) (e12))))). % 196.48/196.65 intro zenon_D_pnotp. % 196.48/196.65 apply zenon_H326. % 196.48/196.65 rewrite <- zenon_D_pnotp. % 196.48/196.65 exact zenon_H323. % 196.48/196.65 cut (((h8 (op1 (e13) (e12))) = (h8 (op1 (e13) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H324]. % 196.48/196.65 cut (((h8 (op1 (e13) (e12))) = (h8 (e11)))); [idtac | apply NNPP; zenon_intro zenon_H327]. % 196.48/196.65 congruence. % 196.48/196.65 cut (((op1 (e13) (e12)) = (e11))); [idtac | apply NNPP; zenon_intro zenon_H328]. % 196.48/196.65 congruence. % 196.48/196.65 exact (zenon_H328 zenon_H1b1). % 196.48/196.65 apply zenon_H324. apply refl_equal. % 196.48/196.65 apply zenon_H324. apply refl_equal. % 196.48/196.65 apply zenon_H33. apply refl_equal. % 196.48/196.65 apply zenon_H324. apply refl_equal. % 196.48/196.65 apply zenon_H324. apply refl_equal. % 196.48/196.65 (* end of lemma zenon_L609_ *) % 196.48/196.65 assert (zenon_L610_ : ((h8 (e13)) = (e21)) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> ((op2 (e23) (e20)) = (e23)) -> ((h8 (e12)) = (op2 (e21) (e22))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e21)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((op2 (e22) (unit2)) = (e22)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((op2 (unit2) (e23)) = (e23)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (unit2) (e20)) = (e20)) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e22)) = (e22)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((e22) = (op2 (e23) (e21))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((e20) = (e23))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((op2 (e21) (unit2)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e22) (e20)) = (e22)) -> ((op2 (e21) (e23)) = (e22)) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> ((h8 (e11)) = (e22)) -> ((op1 (e13) (e12)) = (e11)) -> (~((h8 (op1 (e13) (e12))) = (op2 (h8 (e13)) (h8 (e12))))) -> False). % 196.48/196.65 do 0 intro. intros zenon_H27d zenon_H248 zenon_H55 zenon_H244 zenon_Hba zenon_H9f zenon_H9e zenon_H86 zenon_H76 zenon_H77 zenon_H67 zenon_H4d zenon_H56 zenon_H54 zenon_H5d zenon_Ha9 zenon_Ha3 zenon_Ha4 zenon_Hb5 zenon_Hb3 zenon_Haf zenon_Hb6 zenon_H22 zenon_H20 zenon_H29 zenon_H2a zenon_H2c zenon_H39 zenon_H37 zenon_H41 zenon_H40 zenon_H49 zenon_Hbd zenon_H1de zenon_H22d zenon_H234 zenon_H1d1 zenon_H1cd zenon_H1d4 zenon_H1d9 zenon_Hc1 zenon_Hcf zenon_Hce zenon_Hd4 zenon_Hd8 zenon_H38 zenon_Haa zenon_Hdf zenon_H1ca zenon_H1fd zenon_H1b1 zenon_H329. % 196.48/196.65 elim (classic ((op2 (h8 (e13)) (h8 (e12))) = (op2 (h8 (e13)) (h8 (e12))))); [ zenon_intro zenon_H32a | zenon_intro zenon_H32b ]. % 196.48/196.65 cut (((op2 (h8 (e13)) (h8 (e12))) = (op2 (h8 (e13)) (h8 (e12)))) = ((h8 (op1 (e13) (e12))) = (op2 (h8 (e13)) (h8 (e12))))). % 196.48/196.65 intro zenon_D_pnotp. % 196.48/196.65 apply zenon_H329. % 196.48/196.65 rewrite <- zenon_D_pnotp. % 196.48/196.65 exact zenon_H32a. % 196.48/196.65 cut (((op2 (h8 (e13)) (h8 (e12))) = (op2 (h8 (e13)) (h8 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H32b]. % 196.48/196.65 cut (((op2 (h8 (e13)) (h8 (e12))) = (h8 (op1 (e13) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H32c]. % 196.48/196.65 congruence. % 196.48/196.65 cut (((op2 (e21) (e23)) = (e22)) = ((op2 (h8 (e13)) (h8 (e12))) = (h8 (op1 (e13) (e12))))). % 196.48/196.65 intro zenon_D_pnotp. % 196.48/196.65 apply zenon_H32c. % 196.48/196.65 rewrite <- zenon_D_pnotp. % 196.48/196.65 exact zenon_Haa. % 196.48/196.65 cut (((e22) = (h8 (op1 (e13) (e12))))); [idtac | apply NNPP; zenon_intro zenon_H322]. % 196.48/196.65 cut (((op2 (e21) (e23)) = (op2 (h8 (e13)) (h8 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H32d]. % 196.48/196.65 congruence. % 196.48/196.65 elim (classic ((op2 (h8 (e13)) (h8 (e12))) = (op2 (h8 (e13)) (h8 (e12))))); [ zenon_intro zenon_H32a | zenon_intro zenon_H32b ]. % 196.48/196.65 cut (((op2 (h8 (e13)) (h8 (e12))) = (op2 (h8 (e13)) (h8 (e12)))) = ((op2 (e21) (e23)) = (op2 (h8 (e13)) (h8 (e12))))). % 196.48/196.65 intro zenon_D_pnotp. % 196.48/196.65 apply zenon_H32d. % 196.48/196.65 rewrite <- zenon_D_pnotp. % 196.48/196.65 exact zenon_H32a. % 196.48/196.65 cut (((op2 (h8 (e13)) (h8 (e12))) = (op2 (h8 (e13)) (h8 (e12))))); [idtac | apply NNPP; zenon_intro zenon_H32b]. % 196.48/196.65 cut (((op2 (h8 (e13)) (h8 (e12))) = (op2 (e21) (e23)))); [idtac | apply NNPP; zenon_intro zenon_H32e]. % 196.48/196.65 congruence. % 196.48/196.65 cut (((h8 (e12)) = (e23))); [idtac | apply NNPP; zenon_intro zenon_H243]. % 196.48/196.65 cut (((h8 (e13)) = (e21))); [idtac | apply NNPP; zenon_intro zenon_H289]. % 196.48/196.65 congruence. % 196.48/196.65 exact (zenon_H289 zenon_H27d). % 196.48/196.65 apply (zenon_L503_); trivial. % 196.48/196.65 apply zenon_H32b. apply refl_equal. % 196.48/196.65 apply zenon_H32b. apply refl_equal. % 196.48/196.65 apply (zenon_L609_); trivial. % 196.48/196.65 apply zenon_H32b. apply refl_equal. % 196.48/196.65 apply zenon_H32b. apply refl_equal. % 196.48/196.65 (* end of lemma zenon_L610_ *) % 196.48/196.65 assert (zenon_L611_ : (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((h8 (e13)) = (e21)) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> ((op2 (e23) (e20)) = (e23)) -> ((h8 (e12)) = (op2 (e21) (e22))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e21)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((op2 (e22) (unit2)) = (e22)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((op2 (unit2) (e23)) = (e23)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (unit2) (e20)) = (e20)) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e22)) = (e22)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((e22) = (op2 (e23) (e21))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((e20) = (e23))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((op2 (e21) (unit2)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e22) (e20)) = (e22)) -> ((op2 (e21) (e23)) = (e22)) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> ((h8 (e11)) = (e22)) -> (~((h8 (op1 (e13) (e12))) = (op2 (h8 (e13)) (h8 (e12))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (unit1)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (e13) (e10)) = (e13)) -> ((op1 (e13) (unit1)) = (e13)) -> ((op1 (e12) (e12)) = (e11)) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e12)) = (e12)) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> False). % 196.48/196.65 do 0 intro. intros zenon_H127 zenon_H11a zenon_H26d zenon_H27d zenon_H248 zenon_H55 zenon_H244 zenon_Hba zenon_H9f zenon_H9e zenon_H86 zenon_H76 zenon_H77 zenon_H67 zenon_H4d zenon_H56 zenon_H54 zenon_H5d zenon_Ha9 zenon_Ha3 zenon_Ha4 zenon_Hb5 zenon_Hb3 zenon_Haf zenon_Hb6 zenon_H22 zenon_H20 zenon_H29 zenon_H2a zenon_H2c zenon_H39 zenon_H37 zenon_H41 zenon_H40 zenon_H49 zenon_Hbd zenon_H1de zenon_H22d zenon_H234 zenon_H1d1 zenon_H1cd zenon_H1d4 zenon_H1d9 zenon_Hc1 zenon_Hcf zenon_Hce zenon_Hd4 zenon_Hd8 zenon_H38 zenon_Haa zenon_Hdf zenon_H1ca zenon_H1fd zenon_H329 zenon_H277 zenon_H197 zenon_H131 zenon_H186 zenon_H143 zenon_H172 zenon_H28d zenon_H111 zenon_H110 zenon_H10f zenon_H14d zenon_H14c zenon_H14b zenon_H105 zenon_H120 zenon_H121. % 196.48/196.65 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H102 | zenon_intro zenon_H128 ]. % 196.48/196.65 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H278 | zenon_intro zenon_H28e ]. % 196.48/196.65 apply (zenon_L423_); trivial. % 196.48/196.65 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H1b1 | zenon_intro zenon_H28f ]. % 196.48/196.65 apply (zenon_L610_); trivial. % 196.48/196.65 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H26e | zenon_intro zenon_H140 ]. % 196.48/196.65 apply (zenon_L381_); trivial. % 196.48/196.65 apply (zenon_L117_); trivial. % 196.48/196.65 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H10d | zenon_intro zenon_H129 ]. % 196.48/196.65 apply (zenon_L104_); trivial. % 196.48/196.65 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H118 | zenon_intro zenon_H11f ]. % 196.48/196.65 apply (zenon_L123_); trivial. % 196.48/196.65 apply (zenon_L107_); trivial. % 196.48/196.65 (* end of lemma zenon_L611_ *) % 196.48/196.65 assert (zenon_L612_ : (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((e10) = (op1 (e11) (e11))) -> ((op1 (unit1) (e10)) = (e10)) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((op1 (e12) (e13)) = (e11)) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e13) (e11))) -> ((op1 (unit1) (e12)) = (e12)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> ((op1 (e13) (unit1)) = (e13)) -> ((op1 (e13) (e10)) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((op1 (e11) (unit1)) = (e11)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> ((h8 (e13)) = (e21)) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> ((op2 (e23) (e20)) = (e23)) -> ((h8 (e12)) = (op2 (e21) (e22))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e21)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((op2 (e22) (unit2)) = (e22)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((op2 (unit2) (e23)) = (e23)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (unit2) (e20)) = (e20)) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e22)) = (e22)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((e22) = (op2 (e23) (e21))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((e20) = (e23))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((op2 (e21) (unit2)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e22) (e20)) = (e22)) -> ((op2 (e21) (e23)) = (e22)) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> ((h8 (e11)) = (e22)) -> (~((h8 (op1 (e13) (e12))) = (op2 (h8 (e13)) (h8 (e12))))) -> False). % 196.48/196.65 do 0 intro. intros zenon_H1b5 zenon_H178 zenon_H15b zenon_H13b zenon_H18e zenon_H13a zenon_H185 zenon_H18b zenon_H173 zenon_H133 zenon_H132 zenon_H192 zenon_H218 zenon_H104 zenon_H17e zenon_H1a3 zenon_H19c zenon_H196 zenon_H1a7 zenon_H121 zenon_H120 zenon_H105 zenon_H14b zenon_H14c zenon_H10f zenon_H110 zenon_H111 zenon_H28d zenon_H172 zenon_H143 zenon_H186 zenon_H131 zenon_H197 zenon_H277 zenon_H26d zenon_H11a zenon_H127 zenon_H27d zenon_H248 zenon_H55 zenon_H244 zenon_Hba zenon_H9f zenon_H9e zenon_H86 zenon_H76 zenon_H77 zenon_H67 zenon_H4d zenon_H56 zenon_H54 zenon_H5d zenon_Ha9 zenon_Ha3 zenon_Ha4 zenon_Hb5 zenon_Hb3 zenon_Haf zenon_Hb6 zenon_H22 zenon_H20 zenon_H29 zenon_H2a zenon_H2c zenon_H39 zenon_H37 zenon_H41 zenon_H40 zenon_H49 zenon_Hbd zenon_H1de zenon_H22d zenon_H234 zenon_H1d1 zenon_H1cd zenon_H1d4 zenon_H1d9 zenon_Hc1 zenon_Hcf zenon_Hce zenon_Hd4 zenon_Hd8 zenon_H38 zenon_Haa zenon_Hdf zenon_H1ca zenon_H1fd zenon_H329. % 196.48/196.65 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H177 | zenon_intro zenon_H1b6 ]. % 196.48/196.65 apply (zenon_L150_); trivial. % 196.48/196.65 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H198 | zenon_intro zenon_H1b7 ]. % 196.48/196.65 apply (zenon_L292_); trivial. % 196.48/196.65 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H14d | zenon_intro zenon_H1b1 ]. % 196.48/196.65 apply (zenon_L611_); trivial. % 196.48/196.65 apply (zenon_L610_); trivial. % 196.48/196.65 (* end of lemma zenon_L612_ *) % 196.48/196.65 assert (zenon_L613_ : (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((e10) = (op1 (e11) (e11))) -> ((op1 (unit1) (e10)) = (e10)) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e13) (e11))) -> ((op1 (unit1) (e12)) = (e12)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> ((op1 (e13) (unit1)) = (e13)) -> ((op1 (e13) (e10)) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((op1 (e11) (unit1)) = (e11)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> ((h8 (e13)) = (e21)) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> ((op2 (e23) (e20)) = (e23)) -> ((h8 (e12)) = (op2 (e21) (e22))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e21)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((op2 (e22) (unit2)) = (e22)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((op2 (unit2) (e23)) = (e23)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (unit2) (e20)) = (e20)) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e22)) = (e22)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((e22) = (op2 (e23) (e21))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((e20) = (e23))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((op2 (e21) (unit2)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e22) (e20)) = (e22)) -> ((op2 (e21) (e23)) = (e22)) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> ((h8 (e11)) = (e22)) -> (~((h8 (op1 (e13) (e12))) = (op2 (h8 (e13)) (h8 (e12))))) -> False). % 196.48/196.65 do 0 intro. intros zenon_H224 zenon_H1f4 zenon_H1f7 zenon_H1b5 zenon_H178 zenon_H15b zenon_H13b zenon_H18e zenon_H13a zenon_H185 zenon_H18b zenon_H173 zenon_H133 zenon_H132 zenon_H192 zenon_H104 zenon_H17e zenon_H1a3 zenon_H19c zenon_H196 zenon_H1a7 zenon_H121 zenon_H120 zenon_H105 zenon_H14b zenon_H14c zenon_H10f zenon_H110 zenon_H111 zenon_H28d zenon_H172 zenon_H143 zenon_H186 zenon_H131 zenon_H197 zenon_H277 zenon_H26d zenon_H11a zenon_H127 zenon_H27d zenon_H248 zenon_H55 zenon_H244 zenon_Hba zenon_H9f zenon_H9e zenon_H86 zenon_H76 zenon_H77 zenon_H67 zenon_H4d zenon_H56 zenon_H54 zenon_H5d zenon_Ha9 zenon_Ha3 zenon_Ha4 zenon_Hb5 zenon_Hb3 zenon_Haf zenon_Hb6 zenon_H22 zenon_H20 zenon_H29 zenon_H2a zenon_H2c zenon_H39 zenon_H37 zenon_H41 zenon_H40 zenon_H49 zenon_Hbd zenon_H1de zenon_H22d zenon_H234 zenon_H1d1 zenon_H1cd zenon_H1d4 zenon_H1d9 zenon_Hc1 zenon_Hcf zenon_Hce zenon_Hd4 zenon_Hd8 zenon_H38 zenon_Haa zenon_Hdf zenon_H1ca zenon_H1fd zenon_H329. % 196.48/196.65 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H226 ]. % 196.48/196.65 apply (zenon_L269_); trivial. % 196.48/196.65 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_H1f8 | zenon_intro zenon_H227 ]. % 196.48/196.65 apply (zenon_L349_); trivial. % 196.48/196.65 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H14d | zenon_intro zenon_H218 ]. % 196.48/196.65 apply (zenon_L611_); trivial. % 196.48/196.65 apply (zenon_L612_); trivial. % 196.48/196.65 (* end of lemma zenon_L613_ *) % 196.48/196.65 assert (zenon_L614_ : (~((h8 (op1 (e13) (e12))) = (op2 (h8 (e13)) (h8 (e12))))) -> ((h8 (e11)) = (e22)) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> ((op2 (e21) (e23)) = (e22)) -> ((op2 (e22) (e20)) = (e22)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((op2 (e21) (unit2)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((e20) = (e23))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (unit2) (e22)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((e20) = (op2 (e21) (e21))) -> ((op2 (unit2) (e20)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (unit2) (e23)) = (e23)) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((op2 (e22) (unit2)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (unit2) (e21)) = (e21)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> ((h8 (e12)) = (op2 (e21) (e22))) -> ((op2 (e23) (e20)) = (e23)) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> ((h8 (e13)) = (e21)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (unit1)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((op1 (unit1) (e10)) = (e10)) -> ((e10) = (op1 (e11) (e11))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (e11) (e13)) = (e12)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (unit1) (e13)) = (e13)) -> ((op1 (e12) (e11)) = (e13)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (unit1) (e12)) = (e12)) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> False). % 196.48/196.65 do 0 intro. intros zenon_H329 zenon_H1fd zenon_H1ca zenon_Hdf zenon_Haa zenon_H38 zenon_Hd8 zenon_Hd4 zenon_Hce zenon_Hcf zenon_Hc1 zenon_H1d9 zenon_H1d4 zenon_H1cd zenon_H1d1 zenon_H234 zenon_H22d zenon_H1de zenon_Hbd zenon_H49 zenon_H40 zenon_H41 zenon_H37 zenon_H39 zenon_H2c zenon_H2a zenon_H29 zenon_H20 zenon_H22 zenon_Hb6 zenon_Haf zenon_Hb3 zenon_Hb5 zenon_Ha4 zenon_Ha3 zenon_Ha9 zenon_H5d zenon_H54 zenon_H56 zenon_H4d zenon_H67 zenon_H77 zenon_H76 zenon_H86 zenon_H9e zenon_H9f zenon_Hba zenon_H244 zenon_H55 zenon_H248 zenon_H27d zenon_H26d zenon_H277 zenon_H197 zenon_H131 zenon_H186 zenon_H143 zenon_H28d zenon_H14c zenon_H14b zenon_H1a7 zenon_H196 zenon_H19c zenon_H1a3 zenon_H104 zenon_H192 zenon_H132 zenon_H133 zenon_H173 zenon_H185 zenon_H18e zenon_H178 zenon_H1b5 zenon_H1f7 zenon_H1f4 zenon_H224 zenon_H17e zenon_H17f zenon_H111 zenon_H13a zenon_H21d zenon_H18b zenon_H11a zenon_H127 zenon_H172 zenon_H13b zenon_H10f zenon_H15b zenon_H105 zenon_H120 zenon_H121. % 196.48/196.65 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H110 | zenon_intro zenon_H174 ]. % 196.48/196.65 apply (zenon_L613_); trivial. % 196.48/196.65 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H12b | zenon_intro zenon_H175 ]. % 196.48/196.65 apply (zenon_L139_); trivial. % 196.48/196.65 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H140 | zenon_intro zenon_H15c ]. % 196.48/196.65 apply (zenon_L287_); trivial. % 196.48/196.65 apply (zenon_L133_); trivial. % 196.48/196.65 (* end of lemma zenon_L614_ *) % 196.48/196.65 assert (zenon_L615_ : (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((e10) = (op1 (e11) (e11))) -> ((op1 (unit1) (e10)) = (e10)) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((op1 (e11) (unit1)) = (e11)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((h8 (e13)) = (e21)) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> ((op2 (e23) (e20)) = (e23)) -> ((h8 (e12)) = (op2 (e21) (e22))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e21)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((op2 (e22) (unit2)) = (e22)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((op2 (unit2) (e23)) = (e23)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (unit2) (e20)) = (e20)) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e22)) = (e22)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((e22) = (op2 (e23) (e21))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((e20) = (e23))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((op2 (e21) (unit2)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e22) (e20)) = (e22)) -> ((op2 (e21) (e23)) = (e22)) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> ((h8 (e11)) = (e22)) -> (~((h8 (op1 (e13) (e12))) = (op2 (h8 (e13)) (h8 (e12))))) -> ((op1 (e11) (e12)) = (e13)) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> ((op1 (e11) (e13)) = (e12)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (e12) (e12)) = (e11)) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e12)) = (e12)) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> False). % 196.48/196.65 do 0 intro. intros zenon_H264 zenon_H259 zenon_H15b zenon_H10f zenon_H13b zenon_H172 zenon_H11a zenon_H18b zenon_H111 zenon_H224 zenon_H1f4 zenon_H1f7 zenon_H1b5 zenon_H178 zenon_H18e zenon_H185 zenon_H173 zenon_H133 zenon_H132 zenon_H192 zenon_H104 zenon_H1a3 zenon_H19c zenon_H196 zenon_H1a7 zenon_H28d zenon_H143 zenon_H186 zenon_H131 zenon_H197 zenon_H277 zenon_H26d zenon_H27d zenon_H248 zenon_H55 zenon_H244 zenon_Hba zenon_H9f zenon_H9e zenon_H86 zenon_H76 zenon_H77 zenon_H67 zenon_H4d zenon_H56 zenon_H54 zenon_H5d zenon_Ha9 zenon_Ha3 zenon_Ha4 zenon_Hb5 zenon_Hb3 zenon_Haf zenon_Hb6 zenon_H22 zenon_H20 zenon_H29 zenon_H2a zenon_H2c zenon_H39 zenon_H37 zenon_H41 zenon_H40 zenon_H49 zenon_Hbd zenon_H1de zenon_H22d zenon_H234 zenon_H1d1 zenon_H1cd zenon_H1d4 zenon_H1d9 zenon_Hc1 zenon_Hcf zenon_Hce zenon_Hd4 zenon_Hd8 zenon_H38 zenon_Haa zenon_Hdf zenon_H1ca zenon_H1fd zenon_H329 zenon_H25f zenon_H25e zenon_H127 zenon_H13a zenon_H261 zenon_H17f zenon_H17e zenon_H14d zenon_H14c zenon_H14b zenon_H105 zenon_H120 zenon_H121. % 196.48/196.65 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H256 | zenon_intro zenon_H265 ]. % 196.48/196.65 apply (zenon_L364_); trivial. % 196.48/196.65 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H21d | zenon_intro zenon_H266 ]. % 196.48/196.65 apply (zenon_L614_); trivial. % 196.48/196.65 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H163 | zenon_intro zenon_H262 ]. % 196.48/196.65 apply (zenon_L367_); trivial. % 196.48/196.65 apply (zenon_L369_); trivial. % 196.48/196.65 (* end of lemma zenon_L615_ *) % 196.48/196.65 assert (zenon_L616_ : (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> ((op1 (e11) (e13)) = (e12)) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((e10) = (op1 (e11) (e11))) -> ((op1 (unit1) (e10)) = (e10)) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((op1 (e12) (e13)) = (e11)) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e13) (e11))) -> ((op1 (unit1) (e12)) = (e12)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> ((op1 (e13) (unit1)) = (e13)) -> ((op1 (e13) (e10)) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((op1 (e11) (unit1)) = (e11)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> ((h8 (e13)) = (e21)) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> ((op2 (e23) (e20)) = (e23)) -> ((h8 (e12)) = (op2 (e21) (e22))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e21)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((op2 (e22) (unit2)) = (e22)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((op2 (unit2) (e23)) = (e23)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (unit2) (e20)) = (e20)) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e22)) = (e22)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((e22) = (op2 (e23) (e21))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((e20) = (e23))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((op2 (e21) (unit2)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e22) (e20)) = (e22)) -> ((op2 (e21) (e23)) = (e22)) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> ((h8 (e11)) = (e22)) -> (~((h8 (op1 (e13) (e12))) = (op2 (h8 (e13)) (h8 (e12))))) -> False). % 196.48/196.66 do 0 intro. intros zenon_H1b5 zenon_H17f zenon_H178 zenon_H15b zenon_H13b zenon_H18e zenon_H13a zenon_H185 zenon_H18b zenon_H173 zenon_H133 zenon_H132 zenon_H192 zenon_H218 zenon_H104 zenon_H17e zenon_H1a3 zenon_H19c zenon_H196 zenon_H1a7 zenon_H121 zenon_H120 zenon_H105 zenon_H14b zenon_H14c zenon_H10f zenon_H110 zenon_H111 zenon_H28d zenon_H172 zenon_H143 zenon_H186 zenon_H131 zenon_H197 zenon_H277 zenon_H26d zenon_H11a zenon_H127 zenon_H27d zenon_H248 zenon_H55 zenon_H244 zenon_Hba zenon_H9f zenon_H9e zenon_H86 zenon_H76 zenon_H77 zenon_H67 zenon_H4d zenon_H56 zenon_H54 zenon_H5d zenon_Ha9 zenon_Ha3 zenon_Ha4 zenon_Hb5 zenon_Hb3 zenon_Haf zenon_Hb6 zenon_H22 zenon_H20 zenon_H29 zenon_H2a zenon_H2c zenon_H39 zenon_H37 zenon_H41 zenon_H40 zenon_H49 zenon_Hbd zenon_H1de zenon_H22d zenon_H234 zenon_H1d1 zenon_H1cd zenon_H1d4 zenon_H1d9 zenon_Hc1 zenon_Hcf zenon_Hce zenon_Hd4 zenon_Hd8 zenon_H38 zenon_Haa zenon_Hdf zenon_H1ca zenon_H1fd zenon_H329. % 196.48/196.66 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H177 | zenon_intro zenon_H1b6 ]. % 196.48/196.66 apply (zenon_L343_); trivial. % 196.48/196.66 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H198 | zenon_intro zenon_H1b7 ]. % 196.48/196.66 apply (zenon_L292_); trivial. % 196.48/196.66 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H14d | zenon_intro zenon_H1b1 ]. % 196.48/196.66 apply (zenon_L611_); trivial. % 196.48/196.66 apply (zenon_L610_); trivial. % 196.48/196.66 (* end of lemma zenon_L616_ *) % 196.48/196.66 assert (zenon_L617_ : (~((h8 (op1 (e13) (e12))) = (op2 (h8 (e13)) (h8 (e12))))) -> ((h8 (e11)) = (e22)) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> ((op2 (e21) (e23)) = (e22)) -> ((op2 (e22) (e20)) = (e22)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((op2 (e21) (unit2)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((e20) = (e23))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (unit2) (e22)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((e20) = (op2 (e21) (e21))) -> ((op2 (unit2) (e20)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (unit2) (e23)) = (e23)) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((op2 (e22) (unit2)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (unit2) (e21)) = (e21)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> ((h8 (e12)) = (op2 (e21) (e22))) -> ((op2 (e23) (e20)) = (e23)) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> ((h8 (e13)) = (e21)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> ((op1 (e11) (unit1)) = (e11)) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> ((op1 (e12) (e13)) = (e11)) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((op1 (e11) (e13)) = (e12)) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((op1 (unit1) (e10)) = (e10)) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> ((op1 (e12) (e12)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (unit1) (e12)) = (e12)) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> False). % 196.48/196.66 do 0 intro. intros zenon_H329 zenon_H1fd zenon_H1ca zenon_Hdf zenon_Haa zenon_H38 zenon_Hd8 zenon_Hd4 zenon_Hce zenon_Hcf zenon_Hc1 zenon_H1d9 zenon_H1d4 zenon_H1cd zenon_H1d1 zenon_H234 zenon_H22d zenon_H1de zenon_Hbd zenon_H49 zenon_H40 zenon_H41 zenon_H37 zenon_H39 zenon_H2c zenon_H2a zenon_H29 zenon_H20 zenon_H22 zenon_Hb6 zenon_Haf zenon_Hb3 zenon_Hb5 zenon_Ha4 zenon_Ha3 zenon_Ha9 zenon_H5d zenon_H54 zenon_H56 zenon_H4d zenon_H67 zenon_H77 zenon_H76 zenon_H86 zenon_H9e zenon_H9f zenon_Hba zenon_H244 zenon_H55 zenon_H248 zenon_H27d zenon_H26d zenon_H277 zenon_H197 zenon_H186 zenon_H143 zenon_H28d zenon_H1a7 zenon_H196 zenon_H19c zenon_H1a3 zenon_H17e zenon_H104 zenon_H218 zenon_H192 zenon_H173 zenon_H18b zenon_H185 zenon_H18e zenon_H178 zenon_H17f zenon_H1b5 zenon_H131 zenon_H132 zenon_H133 zenon_H111 zenon_H13a zenon_H14b zenon_H14c zenon_H14d zenon_H11a zenon_H127 zenon_H172 zenon_H13b zenon_H10f zenon_H15b zenon_H105 zenon_H120 zenon_H121. % 196.48/196.66 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H110 | zenon_intro zenon_H174 ]. % 196.48/196.66 apply (zenon_L616_); trivial. % 196.48/196.66 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H12b | zenon_intro zenon_H175 ]. % 196.48/196.66 apply (zenon_L341_); trivial. % 196.48/196.66 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H140 | zenon_intro zenon_H15c ]. % 196.48/196.66 apply (zenon_L191_); trivial. % 196.48/196.66 apply (zenon_L133_); trivial. % 196.48/196.66 (* end of lemma zenon_L617_ *) % 196.48/196.66 assert (zenon_L618_ : (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e13) (e11))) -> ((op1 (unit1) (e12)) = (e12)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> ((op1 (unit1) (e10)) = (e10)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> ((op1 (e11) (e13)) = (e12)) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> ((op1 (e12) (e13)) = (e11)) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (e12) (unit1)) = (e12)) -> ((op1 (e11) (unit1)) = (e11)) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((h8 (e13)) = (e21)) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> ((op2 (e23) (e20)) = (e23)) -> ((h8 (e12)) = (op2 (e21) (e22))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e21)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((op2 (e22) (unit2)) = (e22)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((op2 (unit2) (e23)) = (e23)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (unit2) (e20)) = (e20)) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e22)) = (e22)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((e22) = (op2 (e23) (e21))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((e20) = (e23))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((op2 (e21) (unit2)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e22) (e20)) = (e22)) -> ((op2 (e21) (e23)) = (e22)) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> ((h8 (e11)) = (e22)) -> (~((h8 (op1 (e13) (e12))) = (op2 (h8 (e13)) (h8 (e12))))) -> False). % 196.48/196.66 do 0 intro. intros zenon_H121 zenon_H120 zenon_H105 zenon_H15b zenon_H10f zenon_H13b zenon_H172 zenon_H127 zenon_H11a zenon_H14c zenon_H14b zenon_H13a zenon_H111 zenon_H133 zenon_H132 zenon_H131 zenon_H1b5 zenon_H17f zenon_H178 zenon_H18e zenon_H185 zenon_H18b zenon_H173 zenon_H192 zenon_H218 zenon_H104 zenon_H17e zenon_H1a3 zenon_H19c zenon_H196 zenon_H1a7 zenon_H28d zenon_H143 zenon_H186 zenon_H197 zenon_H277 zenon_H26d zenon_H27d zenon_H248 zenon_H55 zenon_H244 zenon_Hba zenon_H9f zenon_H9e zenon_H86 zenon_H76 zenon_H77 zenon_H67 zenon_H4d zenon_H56 zenon_H54 zenon_H5d zenon_Ha9 zenon_Ha3 zenon_Ha4 zenon_Hb5 zenon_Hb3 zenon_Haf zenon_Hb6 zenon_H22 zenon_H20 zenon_H29 zenon_H2a zenon_H2c zenon_H39 zenon_H37 zenon_H41 zenon_H40 zenon_H49 zenon_Hbd zenon_H1de zenon_H22d zenon_H234 zenon_H1d1 zenon_H1cd zenon_H1d4 zenon_H1d9 zenon_Hc1 zenon_Hcf zenon_Hce zenon_Hd4 zenon_Hd8 zenon_H38 zenon_Haa zenon_Hdf zenon_H1ca zenon_H1fd zenon_H329. % 196.48/196.66 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H177 | zenon_intro zenon_H1b6 ]. % 196.48/196.66 apply (zenon_L343_); trivial. % 196.48/196.66 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H198 | zenon_intro zenon_H1b7 ]. % 196.48/196.66 apply (zenon_L292_); trivial. % 196.48/196.66 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H14d | zenon_intro zenon_H1b1 ]. % 196.48/196.66 apply (zenon_L617_); trivial. % 196.48/196.66 apply (zenon_L610_); trivial. % 196.48/196.66 (* end of lemma zenon_L618_ *) % 196.48/196.66 assert (zenon_L619_ : (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((op1 (e12) (e10)) = (e12)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((e10) = (e13))) -> (~((h8 (op1 (e13) (e12))) = (op2 (h8 (e13)) (h8 (e12))))) -> ((h8 (e11)) = (e22)) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> ((op2 (e21) (e23)) = (e22)) -> ((op2 (e22) (e20)) = (e22)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((op2 (e21) (unit2)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((e20) = (e23))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (unit2) (e22)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((e20) = (op2 (e21) (e21))) -> ((op2 (unit2) (e20)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (unit2) (e23)) = (e23)) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((op2 (e22) (unit2)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (unit2) (e21)) = (e21)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> ((h8 (e12)) = (op2 (e21) (e22))) -> ((op2 (e23) (e20)) = (e23)) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> ((h8 (e13)) = (e21)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> ((op1 (e11) (e13)) = (e12)) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((op1 (e11) (unit1)) = (e11)) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e10)) = (e10)) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (unit1) (e12)) = (e12)) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> False). % 196.48/196.66 do 0 intro. intros zenon_H26a zenon_H1a0 zenon_H237 zenon_H23e zenon_H20f zenon_H223 zenon_H21a zenon_H329 zenon_H1fd zenon_H1ca zenon_Hdf zenon_Haa zenon_H38 zenon_Hd8 zenon_Hd4 zenon_Hce zenon_Hcf zenon_Hc1 zenon_H1d9 zenon_H1d4 zenon_H1cd zenon_H1d1 zenon_H234 zenon_H22d zenon_H1de zenon_Hbd zenon_H49 zenon_H40 zenon_H41 zenon_H37 zenon_H39 zenon_H2c zenon_H2a zenon_H29 zenon_H20 zenon_H22 zenon_Hb6 zenon_Haf zenon_Hb3 zenon_Hb5 zenon_Ha4 zenon_Ha3 zenon_Ha9 zenon_H5d zenon_H54 zenon_H56 zenon_H4d zenon_H67 zenon_H77 zenon_H76 zenon_H86 zenon_H9e zenon_H9f zenon_Hba zenon_H244 zenon_H55 zenon_H248 zenon_H27d zenon_H26d zenon_H277 zenon_H28d zenon_H264 zenon_H259 zenon_H224 zenon_H1f4 zenon_H1f7 zenon_H25e zenon_H261 zenon_H1b5 zenon_H178 zenon_H17f zenon_H19c zenon_H196 zenon_H197 zenon_H1a7 zenon_H267 zenon_H1a3 zenon_H17e zenon_H104 zenon_H192 zenon_H14b zenon_H14c zenon_H143 zenon_H132 zenon_H133 zenon_H131 zenon_H173 zenon_H111 zenon_H18b zenon_H186 zenon_H185 zenon_H13a zenon_H18e zenon_H11a zenon_H127 zenon_H172 zenon_H13b zenon_H10f zenon_H15b zenon_H105 zenon_H120 zenon_H121. % 196.48/196.66 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H236 | zenon_intro zenon_H26b ]. % 196.48/196.66 apply (zenon_L483_); trivial. % 196.48/196.66 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H162 | zenon_intro zenon_H26c ]. % 196.48/196.66 apply (zenon_L284_); trivial. % 196.48/196.66 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H25f | zenon_intro zenon_H268 ]. % 196.48/196.66 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H226 ]. % 196.48/196.66 apply (zenon_L269_); trivial. % 196.48/196.66 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_H1f8 | zenon_intro zenon_H227 ]. % 196.48/196.66 apply (zenon_L349_); trivial. % 196.48/196.66 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H14d | zenon_intro zenon_H218 ]. % 196.48/196.66 apply (zenon_L615_); trivial. % 196.48/196.66 apply (zenon_L618_); trivial. % 196.48/196.66 apply (zenon_L591_); trivial. % 196.48/196.66 (* end of lemma zenon_L619_ *) % 196.48/196.66 assert (zenon_L620_ : (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> ((op1 (unit1) (e10)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((op1 (e11) (unit1)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((h8 (e13)) = (e21)) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> ((op2 (e23) (e20)) = (e23)) -> ((h8 (e12)) = (op2 (e21) (e22))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e21)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((op2 (e22) (unit2)) = (e22)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> ((op2 (unit2) (e23)) = (e23)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (unit2) (e20)) = (e20)) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e22)) = (e22)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((e22) = (op2 (e23) (e21))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((e20) = (e23))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((op2 (e21) (unit2)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e22) (e20)) = (e22)) -> ((op2 (e21) (e23)) = (e22)) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> ((h8 (e11)) = (e22)) -> (~((h8 (op1 (e13) (e12))) = (op2 (h8 (e13)) (h8 (e12))))) -> (~((e10) = (e13))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> ((op1 (e12) (e10)) = (e12)) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (unit1) (e12)) = (e12)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> False). % 196.48/196.66 do 0 intro. intros zenon_H131 zenon_H133 zenon_H132 zenon_H143 zenon_H14c zenon_H14b zenon_H192 zenon_H104 zenon_H17e zenon_H1a3 zenon_H267 zenon_H1a7 zenon_H197 zenon_H196 zenon_H19c zenon_H178 zenon_H1b5 zenon_H261 zenon_H25e zenon_H1f7 zenon_H1f4 zenon_H224 zenon_H259 zenon_H264 zenon_H28d zenon_H277 zenon_H26d zenon_H27d zenon_H248 zenon_H55 zenon_H244 zenon_Hba zenon_H9f zenon_H9e zenon_H86 zenon_H76 zenon_H77 zenon_H67 zenon_H4d zenon_H56 zenon_H54 zenon_H5d zenon_Ha9 zenon_Ha3 zenon_Ha4 zenon_Hb5 zenon_Hb3 zenon_Haf zenon_Hb6 zenon_H22 zenon_H20 zenon_H29 zenon_H2a zenon_H2c zenon_H39 zenon_H37 zenon_H41 zenon_H40 zenon_H49 zenon_Hbd zenon_H1de zenon_H22d zenon_H234 zenon_H1d1 zenon_H1cd zenon_H1d4 zenon_H1d9 zenon_Hc1 zenon_Hcf zenon_Hce zenon_Hd4 zenon_Hd8 zenon_H38 zenon_Haa zenon_Hdf zenon_H1ca zenon_H1fd zenon_H329 zenon_H21a zenon_H223 zenon_H20f zenon_H23e zenon_H237 zenon_H1a0 zenon_H26a zenon_H121 zenon_H105 zenon_H15b zenon_H10f zenon_H172 zenon_H127 zenon_H11a zenon_H18e zenon_H13a zenon_H185 zenon_H186 zenon_H18b zenon_H111 zenon_H173 zenon_H120 zenon_H13b. % 196.48/196.66 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H106 | zenon_intro zenon_H193 ]. % 196.48/196.66 apply (zenon_L134_); trivial. % 196.48/196.66 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H17f | zenon_intro zenon_H194 ]. % 196.48/196.66 apply (zenon_L619_); trivial. % 196.48/196.66 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H187 | zenon_intro zenon_H152 ]. % 196.48/196.66 apply (zenon_L149_); trivial. % 196.48/196.66 apply (zenon_L124_); trivial. % 196.48/196.66 (* end of lemma zenon_L620_ *) % 196.48/196.66 assert (zenon_L621_ : (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((e10) = (e13))) -> (~((h8 (op1 (e13) (e12))) = (op2 (h8 (e13)) (h8 (e12))))) -> ((h8 (e11)) = (e22)) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> ((op2 (e21) (e23)) = (e22)) -> ((op2 (e22) (e20)) = (e22)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((op2 (e21) (unit2)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((e20) = (e23))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (unit2) (e22)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((e20) = (op2 (e21) (e21))) -> ((op2 (unit2) (e20)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (unit2) (e23)) = (e23)) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((op2 (e22) (unit2)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (unit2) (e21)) = (e21)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> ((h8 (e12)) = (op2 (e21) (e22))) -> ((op2 (e23) (e20)) = (e23)) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> ((h8 (e13)) = (e21)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((op1 (e11) (unit1)) = (e11)) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e10)) = (e10)) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (unit1) (e12)) = (e12)) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> False). % 196.48/196.66 do 0 intro. intros zenon_H26a zenon_H237 zenon_H23e zenon_H20f zenon_H223 zenon_H21a zenon_H329 zenon_H1fd zenon_H1ca zenon_Hdf zenon_Haa zenon_H38 zenon_Hd8 zenon_Hd4 zenon_Hce zenon_Hcf zenon_Hc1 zenon_H1d9 zenon_H1d4 zenon_H1cd zenon_H1d1 zenon_H234 zenon_H22d zenon_H1de zenon_Hbd zenon_H49 zenon_H40 zenon_H41 zenon_H37 zenon_H39 zenon_H2c zenon_H2a zenon_H29 zenon_H20 zenon_H22 zenon_Hb6 zenon_Haf zenon_Hb3 zenon_Hb5 zenon_Ha4 zenon_Ha3 zenon_Ha9 zenon_H5d zenon_H54 zenon_H56 zenon_H4d zenon_H67 zenon_H77 zenon_H76 zenon_H86 zenon_H9e zenon_H9f zenon_Hba zenon_H244 zenon_H55 zenon_H248 zenon_H27d zenon_H26d zenon_H277 zenon_H28d zenon_H264 zenon_H259 zenon_H224 zenon_H1f4 zenon_H1f7 zenon_H25e zenon_H261 zenon_H1b5 zenon_H178 zenon_H19c zenon_H196 zenon_H197 zenon_H1a7 zenon_H267 zenon_H1a3 zenon_H17e zenon_H104 zenon_H192 zenon_H14b zenon_H14c zenon_H143 zenon_H132 zenon_H133 zenon_H131 zenon_H173 zenon_H111 zenon_H18b zenon_H186 zenon_H185 zenon_H13a zenon_H18e zenon_H11a zenon_H127 zenon_H172 zenon_H13b zenon_H10f zenon_H15b zenon_H105 zenon_H120 zenon_H121. % 196.48/196.66 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H1a0 | zenon_intro zenon_H1a8 ]. % 196.48/196.66 apply (zenon_L620_); trivial. % 196.48/196.66 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H1a4 | zenon_intro zenon_H1a9 ]. % 196.48/196.66 apply (zenon_L162_); trivial. % 196.48/196.66 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_H15a | zenon_intro zenon_H187 ]. % 196.48/196.66 apply (zenon_L165_); trivial. % 196.48/196.66 apply (zenon_L149_); trivial. % 196.48/196.66 (* end of lemma zenon_L621_ *) % 196.48/196.66 assert (zenon_L622_ : (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e13) (e11))) -> ((op1 (unit1) (e12)) = (e12)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> ((op1 (unit1) (e10)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((op1 (e11) (unit1)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((h8 (e13)) = (e21)) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> ((op2 (e23) (e20)) = (e23)) -> ((h8 (e12)) = (op2 (e21) (e22))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e21)) = (e21)) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (unit2) (e20)) = (e20)) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((e20) = (e23))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((op2 (e21) (unit2)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e22) (e20)) = (e22)) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> ((h8 (e11)) = (e22)) -> (~((h8 (op1 (e13) (e12))) = (op2 (h8 (e13)) (h8 (e12))))) -> (~((e10) = (e13))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (unit2) (e22)) = (e22)) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((op2 (unit2) (e23)) = (e23)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e22) (unit2)) = (e22)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> False). % 196.48/196.66 do 0 intro. intros zenon_H121 zenon_H120 zenon_H105 zenon_H15b zenon_H10f zenon_H13b zenon_H172 zenon_H127 zenon_H11a zenon_H18e zenon_H13a zenon_H185 zenon_H186 zenon_H18b zenon_H111 zenon_H173 zenon_H131 zenon_H133 zenon_H132 zenon_H143 zenon_H14c zenon_H14b zenon_H192 zenon_H104 zenon_H17e zenon_H1a3 zenon_H267 zenon_H1a7 zenon_H197 zenon_H196 zenon_H19c zenon_H178 zenon_H1b5 zenon_H261 zenon_H25e zenon_H1f7 zenon_H1f4 zenon_H224 zenon_H259 zenon_H264 zenon_H28d zenon_H277 zenon_H26d zenon_H27d zenon_H248 zenon_H55 zenon_H244 zenon_Hba zenon_H76 zenon_H77 zenon_H4d zenon_Ha9 zenon_Ha3 zenon_Hb6 zenon_H22 zenon_H29 zenon_H2a zenon_H2c zenon_H39 zenon_Hbd zenon_H1de zenon_H22d zenon_H234 zenon_H1d1 zenon_H1cd zenon_H1d4 zenon_H1d9 zenon_Hc1 zenon_Hcf zenon_Hce zenon_Hd4 zenon_Hd8 zenon_H38 zenon_Hdf zenon_H1ca zenon_H1fd zenon_H329 zenon_H21a zenon_H223 zenon_H20f zenon_H23e zenon_H237 zenon_H26a zenon_H41 zenon_H37 zenon_H86 zenon_H54 zenon_H9e zenon_H49 zenon_H5d zenon_Hb5 zenon_H20 zenon_Haf zenon_Ha4 zenon_Hb3 zenon_H56 zenon_H9f zenon_H40 zenon_H67. % 196.48/196.66 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_H4e | zenon_intro zenon_Hb7 ]. % 196.48/196.66 apply (zenon_L41_); trivial. % 196.48/196.66 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_Haa | zenon_intro zenon_Hb8 ]. % 196.48/196.66 apply (zenon_L621_); trivial. % 196.48/196.66 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H7d ]. % 196.48/196.66 apply (zenon_L55_); trivial. % 196.48/196.66 apply (zenon_L31_); trivial. % 196.48/196.66 (* end of lemma zenon_L622_ *) % 196.48/196.66 assert (zenon_L623_ : (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((op2 (e22) (unit2)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((e10) = (e13))) -> (~((h8 (op1 (e13) (e12))) = (op2 (h8 (e13)) (h8 (e12))))) -> ((h8 (e11)) = (e22)) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> ((op2 (e22) (e20)) = (e22)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((op2 (e21) (unit2)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((e20) = (e23))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((e20) = (op2 (e21) (e21))) -> ((op2 (unit2) (e20)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> ((h8 (e12)) = (op2 (e21) (e22))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> ((h8 (e13)) = (e21)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((op1 (e11) (unit1)) = (e11)) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e10)) = (e10)) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (unit1) (e12)) = (e12)) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> ((op2 (e21) (e23)) = (e22)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (unit2) (e23)) = (e23)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e21)) = (e21)) -> ((op2 (e22) (e22)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((op2 (unit2) (e22)) = (e22)) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> False). % 196.48/196.66 do 0 intro. intros zenon_H9f zenon_Hb3 zenon_Ha4 zenon_Haf zenon_Hb5 zenon_H26a zenon_H237 zenon_H23e zenon_H20f zenon_H223 zenon_H21a zenon_H329 zenon_H1fd zenon_H1ca zenon_Hdf zenon_H38 zenon_Hd8 zenon_Hd4 zenon_Hce zenon_Hcf zenon_Hc1 zenon_H1d9 zenon_H1d4 zenon_H1cd zenon_H1d1 zenon_H234 zenon_H22d zenon_H1de zenon_Hbd zenon_H39 zenon_H2c zenon_H2a zenon_H29 zenon_H22 zenon_Hb6 zenon_Ha3 zenon_H4d zenon_Hba zenon_H244 zenon_H248 zenon_H27d zenon_H26d zenon_H277 zenon_H28d zenon_H264 zenon_H259 zenon_H224 zenon_H1f4 zenon_H1f7 zenon_H25e zenon_H261 zenon_H1b5 zenon_H178 zenon_H19c zenon_H196 zenon_H197 zenon_H1a7 zenon_H267 zenon_H1a3 zenon_H17e zenon_H104 zenon_H192 zenon_H14b zenon_H14c zenon_H143 zenon_H132 zenon_H133 zenon_H131 zenon_H173 zenon_H111 zenon_H18b zenon_H186 zenon_H185 zenon_H13a zenon_H18e zenon_H11a zenon_H127 zenon_H172 zenon_H13b zenon_H10f zenon_H15b zenon_H105 zenon_H120 zenon_H121 zenon_Ha9 zenon_Haa zenon_H56 zenon_H20 zenon_H76 zenon_H77 zenon_H78 zenon_H5d zenon_H49 zenon_H9e zenon_H67 zenon_H54 zenon_H86 zenon_H37 zenon_H40 zenon_H41. % 196.48/196.66 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H55 | zenon_intro zenon_Ha0 ]. % 196.48/196.66 apply (zenon_L622_); trivial. % 196.48/196.66 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_H61 | zenon_intro zenon_Ha1 ]. % 196.48/196.66 apply (zenon_L47_); trivial. % 196.48/196.66 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H6c | zenon_intro zenon_H87 ]. % 196.48/196.66 apply (zenon_L85_); trivial. % 196.48/196.66 apply (zenon_L40_); trivial. % 196.48/196.66 (* end of lemma zenon_L623_ *) % 196.48/196.66 assert (zenon_L624_ : ((op2 (e21) (e23)) = (e22)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e13) (e11))) -> ((op1 (unit1) (e12)) = (e12)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> ((op1 (unit1) (e10)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((op1 (e11) (unit1)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((h8 (e13)) = (e21)) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> ((h8 (e12)) = (op2 (e21) (e22))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((e20) = (e23))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((op2 (e21) (unit2)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e22) (e20)) = (e22)) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> ((h8 (e11)) = (e22)) -> (~((h8 (op1 (e13) (e12))) = (op2 (h8 (e13)) (h8 (e12))))) -> (~((e10) = (e13))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> ((op2 (e22) (e21)) = (e21)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e22) (e21)) = (e23)) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> ((op2 (unit2) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e21)) = (e21)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((op2 (e22) (unit2)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (unit2) (e23)) = (e23)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((op2 (unit2) (e22)) = (e22)) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> False). % 196.48/196.66 do 0 intro. intros zenon_Haa zenon_H121 zenon_H120 zenon_H105 zenon_H15b zenon_H10f zenon_H13b zenon_H172 zenon_H127 zenon_H11a zenon_H18e zenon_H13a zenon_H185 zenon_H186 zenon_H18b zenon_H111 zenon_H173 zenon_H131 zenon_H133 zenon_H132 zenon_H143 zenon_H14c zenon_H14b zenon_H192 zenon_H104 zenon_H17e zenon_H1a3 zenon_H267 zenon_H1a7 zenon_H197 zenon_H196 zenon_H19c zenon_H178 zenon_H1b5 zenon_H261 zenon_H25e zenon_H1f7 zenon_H1f4 zenon_H224 zenon_H259 zenon_H264 zenon_H28d zenon_H277 zenon_H26d zenon_H27d zenon_H248 zenon_H244 zenon_H22 zenon_Hbd zenon_H1de zenon_H22d zenon_H234 zenon_Hc1 zenon_Hcf zenon_Hce zenon_Hd4 zenon_Hd8 zenon_H38 zenon_Hdf zenon_H1ca zenon_H1fd zenon_H329 zenon_H21a zenon_H223 zenon_H20f zenon_H23e zenon_H237 zenon_H26a zenon_H1d9 zenon_H1cd zenon_H1ce zenon_H1d4 zenon_Hba zenon_H1d1 zenon_Hc7 zenon_H2c zenon_H29 zenon_Ha3 zenon_Ha9 zenon_H2a zenon_H39 zenon_H77 zenon_H76 zenon_H4d zenon_Hb6 zenon_H9f zenon_H56 zenon_Hb3 zenon_Ha4 zenon_Haf zenon_H20 zenon_Hb5 zenon_H5d zenon_H49 zenon_H9e zenon_H67 zenon_H54 zenon_H86 zenon_H37 zenon_H40 zenon_H41. % 196.48/196.66 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_Hc0 | zenon_intro zenon_He0 ]. % 196.48/196.66 apply (zenon_L218_); trivial. % 196.48/196.66 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hd0 | zenon_intro zenon_He1 ]. % 196.48/196.66 apply (zenon_L79_); trivial. % 196.48/196.66 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_H78 | zenon_intro zenon_Hdb ]. % 196.48/196.66 apply (zenon_L623_); trivial. % 196.48/196.66 apply (zenon_L250_); trivial. % 196.48/196.66 (* end of lemma zenon_L624_ *) % 196.48/196.66 assert (zenon_L625_ : (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> ((op2 (e23) (e21)) = (e23)) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> ((op2 (unit2) (e20)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (e22) (e23)) = (e21)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (unit2) (e21)) = (e21)) -> ((op2 (e23) (e22)) = (e21)) -> False). % 196.48/196.66 do 0 intro. intros zenon_H49 zenon_H61 zenon_H54 zenon_H56 zenon_H2c zenon_H2a zenon_H29 zenon_H1dc zenon_Hb3 zenon_H41 zenon_H77 zenon_Hdb. % 196.48/196.66 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H1e | zenon_intro zenon_H4a ]. % 196.48/196.66 apply (zenon_L19_); trivial. % 196.48/196.66 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2b | zenon_intro zenon_H4b ]. % 196.48/196.66 apply (zenon_L5_); trivial. % 196.48/196.66 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H3f ]. % 196.48/196.66 apply (zenon_L212_); trivial. % 196.48/196.66 apply (zenon_L82_); trivial. % 196.48/196.66 (* end of lemma zenon_L625_ *) % 196.48/196.66 assert (zenon_L626_ : (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e13) (e11))) -> ((op1 (unit1) (e12)) = (e12)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> ((op1 (unit1) (e10)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((op1 (e11) (unit1)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((h8 (e13)) = (e21)) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> ((h8 (e12)) = (op2 (e21) (e22))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((op2 (e22) (unit2)) = (e22)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((e20) = (e23))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((op2 (e21) (unit2)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e22) (e20)) = (e22)) -> ((op2 (e21) (e23)) = (e22)) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> ((h8 (e11)) = (e22)) -> (~((h8 (op1 (e13) (e12))) = (op2 (h8 (e13)) (h8 (e12))))) -> (~((e10) = (e13))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> ((op2 (e23) (e22)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (unit2) (e20)) = (e20)) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (unit2) (e23)) = (e23)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((op2 (unit2) (e21)) = (e21)) -> ((op2 (e22) (e23)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((op2 (unit2) (e22)) = (e22)) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> False). % 196.48/196.66 do 0 intro. intros zenon_H121 zenon_H120 zenon_H105 zenon_H15b zenon_H10f zenon_H13b zenon_H172 zenon_H127 zenon_H11a zenon_H18e zenon_H13a zenon_H185 zenon_H186 zenon_H18b zenon_H111 zenon_H173 zenon_H131 zenon_H133 zenon_H132 zenon_H143 zenon_H14c zenon_H14b zenon_H192 zenon_H104 zenon_H17e zenon_H1a3 zenon_H267 zenon_H1a7 zenon_H197 zenon_H196 zenon_H19c zenon_H178 zenon_H1b5 zenon_H261 zenon_H25e zenon_H1f7 zenon_H1f4 zenon_H224 zenon_H259 zenon_H264 zenon_H28d zenon_H277 zenon_H26d zenon_H27d zenon_H248 zenon_H244 zenon_Hba zenon_H9f zenon_H76 zenon_H4d zenon_Ha9 zenon_Ha3 zenon_Ha4 zenon_Hb5 zenon_Haf zenon_Hb6 zenon_H22 zenon_H39 zenon_Hbd zenon_H1de zenon_H22d zenon_H234 zenon_H1d1 zenon_H1cd zenon_H1d4 zenon_H1d9 zenon_Hc1 zenon_Hcf zenon_Hce zenon_Hd4 zenon_Hd8 zenon_H38 zenon_Haa zenon_Hdf zenon_H1ca zenon_H1fd zenon_H329 zenon_H21a zenon_H223 zenon_H20f zenon_H23e zenon_H237 zenon_H26a zenon_Hdb zenon_H29 zenon_H2a zenon_H2c zenon_H56 zenon_H20 zenon_Hb3 zenon_H77 zenon_H1dc zenon_H5d zenon_H49 zenon_H9e zenon_H67 zenon_H54 zenon_H86 zenon_H37 zenon_H40 zenon_H41. % 196.48/196.66 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H55 | zenon_intro zenon_Ha0 ]. % 196.48/196.66 apply (zenon_L621_); trivial. % 196.48/196.66 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_H61 | zenon_intro zenon_Ha1 ]. % 196.48/196.67 apply (zenon_L625_); trivial. % 196.48/196.67 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H6c | zenon_intro zenon_H87 ]. % 196.48/196.67 apply (zenon_L213_); trivial. % 196.48/196.67 apply (zenon_L40_); trivial. % 196.48/196.67 (* end of lemma zenon_L626_ *) % 196.48/196.67 assert (zenon_L627_ : (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e13) (e11))) -> ((op1 (unit1) (e12)) = (e12)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> ((op1 (unit1) (e10)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((op1 (e11) (unit1)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((h8 (e13)) = (e21)) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> ((h8 (e12)) = (op2 (e21) (e22))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((op2 (e22) (unit2)) = (e22)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((e20) = (e23))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((op2 (e21) (unit2)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e22) (e20)) = (e22)) -> ((op2 (e21) (e23)) = (e22)) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> ((h8 (e11)) = (e22)) -> (~((h8 (op1 (e13) (e12))) = (op2 (h8 (e13)) (h8 (e12))))) -> (~((e10) = (e13))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (unit2) (e20)) = (e20)) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (unit2) (e23)) = (e23)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((op2 (unit2) (e21)) = (e21)) -> ((op2 (e22) (e23)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((op2 (unit2) (e22)) = (e22)) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> False). % 196.48/196.67 do 0 intro. intros zenon_H121 zenon_H120 zenon_H105 zenon_H15b zenon_H10f zenon_H13b zenon_H172 zenon_H127 zenon_H11a zenon_H18e zenon_H13a zenon_H185 zenon_H186 zenon_H18b zenon_H111 zenon_H173 zenon_H131 zenon_H133 zenon_H132 zenon_H143 zenon_H14c zenon_H14b zenon_H192 zenon_H104 zenon_H17e zenon_H1a3 zenon_H267 zenon_H1a7 zenon_H197 zenon_H196 zenon_H19c zenon_H178 zenon_H1b5 zenon_H261 zenon_H25e zenon_H1f7 zenon_H1f4 zenon_H224 zenon_H259 zenon_H264 zenon_H28d zenon_H277 zenon_H26d zenon_H27d zenon_H248 zenon_H244 zenon_Hba zenon_H9f zenon_H76 zenon_H4d zenon_Ha9 zenon_Ha3 zenon_Ha4 zenon_Hb5 zenon_Haf zenon_Hb6 zenon_H22 zenon_H39 zenon_Hbd zenon_H1de zenon_H22d zenon_H234 zenon_H1d1 zenon_H1cd zenon_H1d4 zenon_H1d9 zenon_Hc1 zenon_Hcf zenon_Hce zenon_Hd4 zenon_Hd8 zenon_H38 zenon_Haa zenon_Hdf zenon_H1ca zenon_H1fd zenon_H329 zenon_H21a zenon_H223 zenon_H20f zenon_H23e zenon_H237 zenon_H26a zenon_H29 zenon_H2a zenon_H2c zenon_H56 zenon_H20 zenon_Hb3 zenon_H77 zenon_H1dc zenon_H5d zenon_H49 zenon_H9e zenon_H67 zenon_H54 zenon_H86 zenon_H37 zenon_H40 zenon_H41. % 196.48/196.67 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_Hc0 | zenon_intro zenon_He0 ]. % 196.48/196.67 apply (zenon_L251_); trivial. % 196.48/196.67 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hd0 | zenon_intro zenon_He1 ]. % 196.48/196.67 apply (zenon_L79_); trivial. % 196.48/196.67 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_H78 | zenon_intro zenon_Hdb ]. % 196.48/196.67 apply (zenon_L623_); trivial. % 196.48/196.67 apply (zenon_L626_); trivial. % 196.48/196.67 (* end of lemma zenon_L627_ *) % 196.48/196.67 assert (zenon_L628_ : ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (unit2) (e21)) = (e21)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((e20) = (op2 (e21) (e21))) -> ((op2 (unit2) (e20)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((e10) = (e13))) -> (~((h8 (op1 (e13) (e12))) = (op2 (h8 (e13)) (h8 (e12))))) -> ((h8 (e11)) = (e22)) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> ((op2 (e22) (e20)) = (e22)) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((op2 (e21) (unit2)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((e20) = (e23))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((op2 (e22) (unit2)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> ((h8 (e12)) = (op2 (e21) (e22))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> ((h8 (e13)) = (e21)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((op1 (e11) (unit1)) = (e11)) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e10)) = (e10)) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (unit1) (e12)) = (e12)) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (e21) (e23)) = (e22)) -> ((op2 (unit2) (e22)) = (e22)) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e23) (unit2)) = (e23)) -> ((op2 (unit2) (e23)) = (e23)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> False). % 196.48/196.67 do 0 intro. intros zenon_H40 zenon_H86 zenon_H9e zenon_H5d zenon_H77 zenon_Hb3 zenon_H2c zenon_H2a zenon_H29 zenon_H26a zenon_H237 zenon_H23e zenon_H20f zenon_H223 zenon_H21a zenon_H329 zenon_H1fd zenon_H1ca zenon_Hdf zenon_H38 zenon_Hd8 zenon_Hd4 zenon_Hce zenon_Hcf zenon_Hc1 zenon_H1d9 zenon_H1d4 zenon_H1cd zenon_H1d1 zenon_H234 zenon_H22d zenon_H1de zenon_Hbd zenon_H39 zenon_H22 zenon_Hb6 zenon_Haf zenon_Hb5 zenon_Ha4 zenon_Ha3 zenon_H4d zenon_H76 zenon_H9f zenon_Hba zenon_H244 zenon_H248 zenon_H27d zenon_H26d zenon_H277 zenon_H28d zenon_H264 zenon_H259 zenon_H224 zenon_H1f4 zenon_H1f7 zenon_H25e zenon_H261 zenon_H1b5 zenon_H178 zenon_H19c zenon_H196 zenon_H197 zenon_H1a7 zenon_H267 zenon_H1a3 zenon_H17e zenon_H104 zenon_H192 zenon_H14b zenon_H14c zenon_H143 zenon_H132 zenon_H133 zenon_H131 zenon_H173 zenon_H111 zenon_H18b zenon_H186 zenon_H185 zenon_H13a zenon_H18e zenon_H11a zenon_H127 zenon_H172 zenon_H13b zenon_H10f zenon_H15b zenon_H105 zenon_H120 zenon_H121 zenon_H49 zenon_H56 zenon_Haa zenon_H37 zenon_Ha9 zenon_H41 zenon_H54 zenon_H20 zenon_H67. % 196.48/196.67 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H21 | zenon_intro zenon_H1cb ]. % 196.48/196.67 apply (zenon_L64_); trivial. % 196.48/196.67 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H8d | zenon_intro zenon_H1cc ]. % 196.48/196.67 apply (zenon_L65_); trivial. % 196.48/196.67 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H61 ]. % 196.48/196.67 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_Hd9 | zenon_intro zenon_H1df ]. % 196.48/196.67 apply (zenon_L314_); trivial. % 196.48/196.67 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H1ce | zenon_intro zenon_H1e0 ]. % 196.48/196.67 apply (zenon_L624_); trivial. % 196.48/196.67 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H78 | zenon_intro zenon_H1dc ]. % 196.48/196.67 apply (zenon_L623_); trivial. % 196.48/196.67 apply (zenon_L627_); trivial. % 196.48/196.67 apply (zenon_L47_); trivial. % 196.48/196.67 (* end of lemma zenon_L628_ *) % 196.48/196.67 assert (zenon_L629_ : (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((e12) = (op1 (e13) (e11))) -> ((op1 (unit1) (e12)) = (e12)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> ((op1 (unit1) (e10)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> ((op1 (e11) (unit1)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> ((h8 (e13)) = (e21)) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> ((h8 (e12)) = (op2 (e21) (e22))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((e20) = (e23))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> ((op2 (e21) (unit2)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> ((op2 (e22) (e20)) = (e22)) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> ((h8 (e11)) = (e22)) -> (~((h8 (op1 (e13) (e12))) = (op2 (h8 (e13)) (h8 (e12))))) -> (~((e10) = (e13))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (unit2) (e20)) = (e20)) -> ((e20) = (op2 (e21) (e21))) -> ((op2 (unit2) (e21)) = (e21)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (unit2) (e22)) = (e22)) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> ((op2 (unit2) (e23)) = (e23)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e22) (unit2)) = (e22)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> False). % 196.48/196.67 do 0 intro. intros zenon_Ha9 zenon_H121 zenon_H120 zenon_H105 zenon_H15b zenon_H10f zenon_H13b zenon_H172 zenon_H127 zenon_H11a zenon_H18e zenon_H13a zenon_H185 zenon_H186 zenon_H18b zenon_H111 zenon_H173 zenon_H131 zenon_H133 zenon_H132 zenon_H143 zenon_H14c zenon_H14b zenon_H192 zenon_H104 zenon_H17e zenon_H1a3 zenon_H267 zenon_H1a7 zenon_H197 zenon_H196 zenon_H19c zenon_H178 zenon_H1b5 zenon_H261 zenon_H25e zenon_H1f7 zenon_H1f4 zenon_H224 zenon_H259 zenon_H264 zenon_H28d zenon_H277 zenon_H26d zenon_H27d zenon_H248 zenon_H244 zenon_Hba zenon_H76 zenon_H4d zenon_Ha3 zenon_Hb6 zenon_H22 zenon_H39 zenon_Hbd zenon_H1de zenon_H22d zenon_H234 zenon_H1d1 zenon_H1cd zenon_H1d4 zenon_H1d9 zenon_Hc1 zenon_Hcf zenon_Hce zenon_Hd4 zenon_Hd8 zenon_H38 zenon_Hdf zenon_H1ca zenon_H1fd zenon_H329 zenon_H21a zenon_H223 zenon_H20f zenon_H23e zenon_H237 zenon_H26a zenon_H29 zenon_H2a zenon_H2c zenon_H77 zenon_H41 zenon_H37 zenon_H86 zenon_H54 zenon_H9e zenon_H49 zenon_H5d zenon_Hb5 zenon_H20 zenon_Haf zenon_Ha4 zenon_Hb3 zenon_H56 zenon_H9f zenon_H40 zenon_H67. % 196.48/196.67 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_H4e | zenon_intro zenon_Hb7 ]. % 196.48/196.67 apply (zenon_L41_); trivial. % 196.48/196.67 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_Haa | zenon_intro zenon_Hb8 ]. % 196.48/196.67 apply (zenon_L628_); trivial. % 196.48/196.67 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_Hb0 | zenon_intro zenon_H7d ]. % 196.48/196.67 apply (zenon_L55_); trivial. % 196.48/196.67 apply (zenon_L31_); trivial. % 196.48/196.67 (* end of lemma zenon_L629_ *) % 196.48/196.67 assert (zenon_L630_ : (((op1 (e11) (e10)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e11) (e12)) = (e13))\/((op1 (e11) (e13)) = (e13))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e13)))) -> (~((op1 (e11) (e10)) = (op1 (e13) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e11)) = (e13))\/(((op1 (e11) (e11)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/((op1 (e13) (e11)) = (e13))))) -> (~((e10) = (e13))) -> (~((h8 (op1 (e13) (e12))) = (op2 (h8 (e13)) (h8 (e12))))) -> ((h8 (e11)) = (e22)) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((op2 (e21) (unit2)) = (e21)) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((e20) = (e23))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> ((h8 (e12)) = (op2 (e21) (e22))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> ((h8 (e13)) = (e21)) -> (~((op1 (e10) (e12)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e13) (e12)))) -> (((op1 (e13) (e12)) = (e10))\/(((op1 (e13) (e12)) = (e11))\/(((op1 (e13) (e12)) = (e12))\/((op1 (e13) (e12)) = (e13))))) -> (((op1 (e12) (e10)) = (e13))\/(((op1 (e12) (e11)) = (e13))\/(((op1 (e12) (e12)) = (e13))\/((op1 (e12) (e13)) = (e13))))) -> (~((op1 (e12) (e10)) = (op1 (e13) (e10)))) -> (((op1 (e12) (e10)) = (e11))\/(((op1 (e12) (e11)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e12) (e13)) = (e11))))) -> (~((op1 (e11) (e10)) = (op1 (e12) (e10)))) -> (~((op1 (e10) (e11)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e13)) = (op1 (e12) (e13)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> ((op1 (e11) (unit1)) = (e11)) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e10) (e13)) = (op1 (e11) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e10)) = (e10)) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (unit1) (e12)) = (e12)) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> ((op2 (unit2) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e21)) = (e21)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((op2 (e22) (unit2)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (unit2) (e23)) = (e23)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((op2 (unit2) (e22)) = (e22)) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> False). % 196.48/196.67 do 0 intro. intros zenon_H26a zenon_H237 zenon_H23e zenon_H20f zenon_H223 zenon_H21a zenon_H329 zenon_H1fd zenon_H1ca zenon_Hdf zenon_Hd8 zenon_Hd4 zenon_Hce zenon_Hcf zenon_Hc1 zenon_H1d9 zenon_H1d4 zenon_H1cd zenon_H1d1 zenon_H234 zenon_H22d zenon_H1de zenon_Hbd zenon_H22 zenon_Hba zenon_H244 zenon_H248 zenon_H27d zenon_H26d zenon_H277 zenon_H28d zenon_H264 zenon_H259 zenon_H224 zenon_H1f4 zenon_H1f7 zenon_H25e zenon_H261 zenon_H1b5 zenon_H178 zenon_H19c zenon_H196 zenon_H197 zenon_H1a7 zenon_H267 zenon_H1a3 zenon_H17e zenon_H104 zenon_H192 zenon_H14b zenon_H14c zenon_H143 zenon_H132 zenon_H133 zenon_H131 zenon_H173 zenon_H111 zenon_H18b zenon_H186 zenon_H185 zenon_H13a zenon_H18e zenon_H11a zenon_H127 zenon_H172 zenon_H13b zenon_H10f zenon_H15b zenon_H105 zenon_H120 zenon_H121 zenon_Ha3 zenon_H29 zenon_H2c zenon_Ha9 zenon_H2a zenon_H39 zenon_H77 zenon_H76 zenon_H4d zenon_Hb6 zenon_H9f zenon_H56 zenon_Hb3 zenon_Ha4 zenon_Haf zenon_H20 zenon_Hb5 zenon_H5d zenon_H49 zenon_H9e zenon_H67 zenon_H54 zenon_H86 zenon_H37 zenon_H40 zenon_H41. % 196.48/196.67 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H38 | zenon_intro zenon_Hbb ]. % 196.48/196.67 apply (zenon_L629_); trivial. % 196.48/196.67 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_Ha5 | zenon_intro zenon_Hbc ]. % 196.48/196.67 apply (zenon_L56_); trivial. % 196.48/196.67 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H85 | zenon_intro zenon_Hb0 ]. % 196.48/196.67 apply (zenon_L63_); trivial. % 196.48/196.67 apply (zenon_L55_); trivial. % 196.48/196.67 (* end of lemma zenon_L630_ *) % 196.48/196.67 assert (zenon_L631_ : (~((op2 (e21) (e21)) = (op2 (h8 (e13)) (h8 (e13))))) -> ((h8 (e13)) = (e21)) -> False). % 196.48/196.67 do 0 intro. intros zenon_H32f zenon_H27d. % 196.48/196.67 cut (((e21) = (h8 (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2fd]. % 196.48/196.67 cut (((e21) = (h8 (e13)))); [idtac | apply NNPP; zenon_intro zenon_H2fd]. % 196.48/196.67 congruence. % 196.48/196.67 apply zenon_H2fd. apply sym_equal. exact zenon_H27d. % 196.48/196.67 apply zenon_H2fd. apply sym_equal. exact zenon_H27d. % 196.48/196.67 (* end of lemma zenon_L631_ *) % 196.48/196.67 assert (zenon_L632_ : (~((h8 (op1 (e13) (e13))) = (op2 (h8 (e13)) (h8 (e13))))) -> ((h8 (e10)) = (op2 (e22) (e22))) -> ((op1 (e13) (e13)) = (e10)) -> ((e20) = (op2 (e21) (e21))) -> ((h8 (e13)) = (e21)) -> ((op2 (e22) (e22)) = (e20)) -> False). % 196.48/196.67 do 0 intro. intros zenon_H330 zenon_Hf0 zenon_H169 zenon_H2c zenon_H27d zenon_H6f. % 196.48/196.67 cut (((h8 (e10)) = (op2 (e22) (e22))) = ((h8 (op1 (e13) (e13))) = (op2 (h8 (e13)) (h8 (e13))))). % 196.48/196.67 intro zenon_D_pnotp. % 196.48/196.67 apply zenon_H330. % 196.48/196.67 rewrite <- zenon_D_pnotp. % 196.48/196.67 exact zenon_Hf0. % 196.48/196.67 cut (((op2 (e22) (e22)) = (op2 (h8 (e13)) (h8 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H331]. % 196.48/196.67 cut (((h8 (e10)) = (h8 (op1 (e13) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H332]. % 196.48/196.67 congruence. % 196.48/196.67 elim (classic ((h8 (op1 (e13) (e13))) = (h8 (op1 (e13) (e13))))); [ zenon_intro zenon_H333 | zenon_intro zenon_H334 ]. % 196.48/196.67 cut (((h8 (op1 (e13) (e13))) = (h8 (op1 (e13) (e13)))) = ((h8 (e10)) = (h8 (op1 (e13) (e13))))). % 196.48/196.67 intro zenon_D_pnotp. % 196.48/196.67 apply zenon_H332. % 196.48/196.67 rewrite <- zenon_D_pnotp. % 196.48/196.67 exact zenon_H333. % 196.48/196.67 cut (((h8 (op1 (e13) (e13))) = (h8 (op1 (e13) (e13))))); [idtac | apply NNPP; zenon_intro zenon_H334]. % 196.48/196.67 cut (((h8 (op1 (e13) (e13))) = (h8 (e10)))); [idtac | apply NNPP; zenon_intro zenon_H335]. % 196.48/196.67 congruence. % 196.48/196.67 cut (((op1 (e13) (e13)) = (e10))); [idtac | apply NNPP; zenon_intro zenon_H336]. % 196.48/196.67 congruence. % 196.48/196.67 exact (zenon_H336 zenon_H169). % 196.48/196.67 apply zenon_H334. apply refl_equal. % 196.48/196.67 apply zenon_H334. apply refl_equal. % 196.48/196.67 cut (((e20) = (op2 (e21) (e21))) = ((op2 (e22) (e22)) = (op2 (h8 (e13)) (h8 (e13))))). % 196.48/196.67 intro zenon_D_pnotp. % 196.48/196.67 apply zenon_H331. % 196.48/196.67 rewrite <- zenon_D_pnotp. % 196.48/196.67 exact zenon_H2c. % 196.48/196.67 cut (((op2 (e21) (e21)) = (op2 (h8 (e13)) (h8 (e13))))); [idtac | apply NNPP; zenon_intro zenon_H32f]. % 196.48/196.67 cut (((e20) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H70]. % 196.48/196.67 congruence. % 196.48/196.67 elim (classic ((op2 (e22) (e22)) = (op2 (e22) (e22)))); [ zenon_intro zenon_H3a | zenon_intro zenon_H3b ]. % 196.48/196.67 cut (((op2 (e22) (e22)) = (op2 (e22) (e22))) = ((e20) = (op2 (e22) (e22)))). % 196.48/196.67 intro zenon_D_pnotp. % 196.48/196.67 apply zenon_H70. % 196.48/196.67 rewrite <- zenon_D_pnotp. % 196.48/196.67 exact zenon_H3a. % 196.48/196.67 cut (((op2 (e22) (e22)) = (op2 (e22) (e22)))); [idtac | apply NNPP; zenon_intro zenon_H3b]. % 196.48/196.67 cut (((op2 (e22) (e22)) = (e20))); [idtac | apply NNPP; zenon_intro zenon_Hf1]. % 196.48/196.67 congruence. % 196.48/196.67 exact (zenon_Hf1 zenon_H6f). % 196.48/196.67 apply zenon_H3b. apply refl_equal. % 196.48/196.67 apply zenon_H3b. apply refl_equal. % 196.48/196.67 apply (zenon_L631_); trivial. % 196.48/196.67 (* end of lemma zenon_L632_ *) % 196.48/196.67 assert (zenon_L633_ : (((op1 (e10) (e10)) = (e10))/\(((op1 (e11) (e11)) = (e10))/\(((op1 (e12) (e12)) = (e10))/\((op1 (e13) (e13)) = (e10))))) -> (~((h8 (op1 (e13) (e13))) = (op2 (h8 (e13)) (h8 (e13))))) -> ((h8 (e10)) = (op2 (e22) (e22))) -> ((e20) = (op2 (e21) (e21))) -> ((h8 (e13)) = (e21)) -> ((op2 (e22) (e22)) = (e20)) -> False). % 196.48/196.67 do 0 intro. intros zenon_H165 zenon_H330 zenon_Hf0 zenon_H2c zenon_H27d zenon_H6f. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H165). zenon_intro zenon_Hf4. zenon_intro zenon_H166. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H168. zenon_intro zenon_H167. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H144. zenon_intro zenon_H169. % 196.48/196.67 apply (zenon_L632_); trivial. % 196.48/196.67 (* end of lemma zenon_L633_ *) % 196.48/196.67 assert (zenon_L634_ : ((h8 (e13)) = (e21)) -> ((e20) = (op2 (e21) (e21))) -> ((h8 (e10)) = (op2 (e22) (e22))) -> (~((h8 (op1 (e13) (e13))) = (op2 (h8 (e13)) (h8 (e13))))) -> (((op1 (e10) (e10)) = (e10))/\(((op1 (e11) (e11)) = (e10))/\(((op1 (e12) (e12)) = (e10))/\((op1 (e13) (e13)) = (e10))))) -> ((op2 (e21) (unit2)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (e23) (unit2)) = (e23)) -> ((unit2) = (e20)) -> False). % 196.48/196.67 do 0 intro. intros zenon_H27d zenon_H2c zenon_Hf0 zenon_H330 zenon_H165 zenon_Hcf zenon_H29 zenon_H67 zenon_H40 zenon_H9e zenon_H54 zenon_H1e. % 196.48/196.67 apply (zenon_or_s _ _ ax13); [ zenon_intro zenon_H90 | zenon_intro zenon_H8f ]. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H90). zenon_intro zenon_H92. zenon_intro zenon_H91. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H91). zenon_intro zenon_H94. zenon_intro zenon_H93. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H93). zenon_intro zenon_H6f. zenon_intro zenon_H95. % 196.48/196.67 apply (zenon_L633_); trivial. % 196.48/196.67 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H97 | zenon_intro zenon_H96 ]. % 196.48/196.67 apply (zenon_L91_); trivial. % 196.48/196.67 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H80 | zenon_intro zenon_H89 ]. % 196.48/196.67 apply (zenon_L32_); trivial. % 196.48/196.67 apply (zenon_L92_); trivial. % 196.48/196.67 (* end of lemma zenon_L634_ *) % 196.48/196.67 assert (zenon_L635_ : (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (e12) (unit1)) = (e12)) -> ((op1 (e11) (unit1)) = (e11)) -> ((h8 (e13)) = (e21)) -> ((e20) = (op2 (e21) (e21))) -> ((h8 (e10)) = (op2 (e22) (e22))) -> (~((h8 (op1 (e13) (e13))) = (op2 (h8 (e13)) (h8 (e13))))) -> ((op2 (e21) (unit2)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (e23) (unit2)) = (e23)) -> ((unit2) = (e20)) -> ((e10) = (op1 (e11) (e11))) -> ((op1 (unit1) (e10)) = (e10)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((op1 (e12) (e12)) = (e11)) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e12)) = (e12)) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> False). % 196.48/196.67 do 0 intro. intros zenon_H127 zenon_H10f zenon_H172 zenon_H143 zenon_H186 zenon_H197 zenon_H27d zenon_H2c zenon_Hf0 zenon_H330 zenon_Hcf zenon_H29 zenon_H67 zenon_H40 zenon_H9e zenon_H54 zenon_H1e zenon_H133 zenon_H132 zenon_H131 zenon_H14d zenon_H14c zenon_H14b zenon_H105 zenon_H120 zenon_H121. % 196.48/196.67 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H102 | zenon_intro zenon_H128 ]. % 196.48/196.67 apply (zenon_or_s _ _ ax12); [ zenon_intro zenon_H165 | zenon_intro zenon_H164 ]. % 196.48/196.67 apply (zenon_L634_); trivial. % 196.48/196.67 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H16b | zenon_intro zenon_H16a ]. % 196.48/196.67 apply (zenon_L417_); trivial. % 196.48/196.67 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H155 | zenon_intro zenon_H15e ]. % 196.48/196.67 apply (zenon_L422_); trivial. % 196.48/196.67 apply (zenon_L418_); trivial. % 196.48/196.67 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H10d | zenon_intro zenon_H129 ]. % 196.48/196.67 apply (zenon_L112_); trivial. % 196.48/196.67 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H118 | zenon_intro zenon_H11f ]. % 196.48/196.67 apply (zenon_L123_); trivial. % 196.48/196.67 apply (zenon_L107_); trivial. % 196.48/196.67 (* end of lemma zenon_L635_ *) % 196.48/196.67 assert (zenon_L636_ : (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> ((op1 (e11) (e11)) = (e11)) -> ((op1 (e11) (unit1)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e10)) = (e13)) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> ((op1 (e13) (e12)) = (e11)) -> False). % 196.48/196.67 do 0 intro. intros zenon_H127 zenon_H16f zenon_H197 zenon_H131 zenon_H111 zenon_H11a zenon_H110 zenon_H10f zenon_H121 zenon_H14c zenon_H1b1. % 196.48/196.67 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H102 | zenon_intro zenon_H128 ]. % 196.48/196.67 apply (zenon_L416_); trivial. % 196.48/196.67 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H10d | zenon_intro zenon_H129 ]. % 196.48/196.67 apply (zenon_L104_); trivial. % 196.48/196.67 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H118 | zenon_intro zenon_H11f ]. % 196.48/196.67 apply (zenon_L106_); trivial. % 196.48/196.67 apply (zenon_L170_); trivial. % 196.48/196.67 (* end of lemma zenon_L636_ *) % 196.48/196.67 assert (zenon_L637_ : (((op1 (e10) (e10)) = (e11))/\(((op1 (e11) (e11)) = (e11))/\(((op1 (e12) (e12)) = (e11))/\((op1 (e13) (e13)) = (e11))))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> ((op1 (e11) (unit1)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e10)) = (e13)) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> ((op1 (e13) (e12)) = (e11)) -> False). % 196.48/196.67 do 0 intro. intros zenon_H16b zenon_H127 zenon_H197 zenon_H131 zenon_H111 zenon_H11a zenon_H110 zenon_H10f zenon_H121 zenon_H14c zenon_H1b1. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H16b). zenon_intro zenon_H16d. zenon_intro zenon_H16c. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H16c). zenon_intro zenon_H16f. zenon_intro zenon_H16e. % 196.48/196.67 apply (zenon_L636_); trivial. % 196.48/196.67 (* end of lemma zenon_L637_ *) % 196.48/196.67 assert (zenon_L638_ : ((unit2) = (e20)) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (e21) (unit2)) = (e21)) -> (~((h8 (op1 (e13) (e13))) = (op2 (h8 (e13)) (h8 (e13))))) -> ((h8 (e10)) = (op2 (e22) (e22))) -> ((e20) = (op2 (e21) (e21))) -> ((h8 (e13)) = (e21)) -> ((op1 (e13) (e12)) = (e11)) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e10)) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((op1 (e11) (unit1)) = (e11)) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> ((unit1) = (e10)) -> False). % 196.48/196.67 do 0 intro. intros zenon_H1e zenon_H54 zenon_H9e zenon_H40 zenon_H67 zenon_H29 zenon_Hcf zenon_H330 zenon_Hf0 zenon_H2c zenon_H27d zenon_H1b1 zenon_H14c zenon_H121 zenon_H110 zenon_H11a zenon_H111 zenon_H131 zenon_H197 zenon_H127 zenon_H13b zenon_H120 zenon_H172 zenon_H10f zenon_H102. % 196.48/196.67 apply (zenon_or_s _ _ ax12); [ zenon_intro zenon_H165 | zenon_intro zenon_H164 ]. % 196.48/196.67 apply (zenon_L634_); trivial. % 196.48/196.67 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H16b | zenon_intro zenon_H16a ]. % 196.48/196.67 apply (zenon_L637_); trivial. % 196.48/196.67 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H155 | zenon_intro zenon_H15e ]. % 196.48/196.67 apply (zenon_L125_); trivial. % 196.48/196.67 apply (zenon_L418_); trivial. % 196.48/196.67 (* end of lemma zenon_L638_ *) % 196.48/196.67 assert (zenon_L639_ : (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> ((op1 (e11) (unit1)) = (e11)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> ((op1 (e13) (e10)) = (e13)) -> ((h8 (e13)) = (e21)) -> ((e20) = (op2 (e21) (e21))) -> ((h8 (e10)) = (op2 (e22) (e22))) -> (~((h8 (op1 (e13) (e13))) = (op2 (h8 (e13)) (h8 (e13))))) -> ((op2 (e21) (unit2)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (e23) (unit2)) = (e23)) -> ((unit2) = (e20)) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e10)) = (e10)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> ((op1 (e13) (e12)) = (e11)) -> False). % 196.48/196.67 do 0 intro. intros zenon_H172 zenon_H127 zenon_H197 zenon_H111 zenon_H11a zenon_H110 zenon_H27d zenon_H2c zenon_Hf0 zenon_H330 zenon_Hcf zenon_H29 zenon_H67 zenon_H40 zenon_H9e zenon_H54 zenon_H1e zenon_H133 zenon_H131 zenon_H10f zenon_H15b zenon_H120 zenon_H13b zenon_H14b zenon_H143 zenon_H132 zenon_H121 zenon_H14c zenon_H1b1. % 196.48/196.67 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H102 | zenon_intro zenon_H128 ]. % 196.48/196.67 apply (zenon_L638_); trivial. % 196.48/196.67 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H10d | zenon_intro zenon_H129 ]. % 196.48/196.67 apply (zenon_L112_); trivial. % 196.48/196.67 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H118 | zenon_intro zenon_H11f ]. % 196.48/196.67 apply (zenon_L128_); trivial. % 196.48/196.67 apply (zenon_L170_); trivial. % 196.48/196.67 (* end of lemma zenon_L639_ *) % 196.48/196.67 assert (zenon_L640_ : (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((op1 (e13) (e12)) = (e11)) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> ((unit2) = (e20)) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (e21) (unit2)) = (e21)) -> (~((h8 (op1 (e13) (e13))) = (op2 (h8 (e13)) (h8 (e13))))) -> ((h8 (e10)) = (op2 (e22) (e22))) -> ((e20) = (op2 (e21) (e21))) -> ((h8 (e13)) = (e21)) -> ((op1 (e11) (unit1)) = (e11)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (e11) (e13)) = (e12)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> ((op1 (unit1) (e13)) = (e13)) -> ((op1 (unit1) (e10)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (unit1) (e12)) = (e12)) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> False). % 196.48/196.67 do 0 intro. intros zenon_H173 zenon_H1b1 zenon_H131 zenon_H133 zenon_H1e zenon_H54 zenon_H9e zenon_H40 zenon_H67 zenon_H29 zenon_Hcf zenon_H330 zenon_Hf0 zenon_H2c zenon_H27d zenon_H197 zenon_H17e zenon_H17f zenon_H111 zenon_H13a zenon_H132 zenon_H143 zenon_H14c zenon_H14b zenon_H11a zenon_H127 zenon_H172 zenon_H13b zenon_H10f zenon_H15b zenon_H105 zenon_H120 zenon_H121. % 196.48/196.67 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H110 | zenon_intro zenon_H174 ]. % 196.48/196.67 apply (zenon_L639_); trivial. % 196.48/196.67 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H12b | zenon_intro zenon_H175 ]. % 196.48/196.67 apply (zenon_L139_); trivial. % 196.48/196.67 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H140 | zenon_intro zenon_H15c ]. % 196.48/196.67 apply (zenon_L130_); trivial. % 196.48/196.67 apply (zenon_L133_); trivial. % 196.48/196.67 (* end of lemma zenon_L640_ *) % 196.48/196.67 assert (zenon_L641_ : (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e10)) = (e10)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (e11) (unit1)) = (e11)) -> ((h8 (e13)) = (e21)) -> ((e20) = (op2 (e21) (e21))) -> ((h8 (e10)) = (op2 (e22) (e22))) -> (~((h8 (op1 (e13) (e13))) = (op2 (h8 (e13)) (h8 (e13))))) -> ((op2 (e21) (unit2)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((op2 (e23) (unit2)) = (e23)) -> ((unit2) = (e20)) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (unit1) (e12)) = (e12)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> False). % 196.48/196.67 do 0 intro. intros zenon_H1b5 zenon_H178 zenon_H1a3 zenon_H19c zenon_H196 zenon_H1a7 zenon_H192 zenon_H104 zenon_H14b zenon_H14c zenon_H143 zenon_H132 zenon_H17e zenon_H197 zenon_H27d zenon_H2c zenon_Hf0 zenon_H330 zenon_Hcf zenon_H29 zenon_H67 zenon_H40 zenon_H9e zenon_H54 zenon_H1e zenon_H133 zenon_H131 zenon_H121 zenon_H105 zenon_H15b zenon_H10f zenon_H172 zenon_H127 zenon_H11a zenon_H18e zenon_H13a zenon_H185 zenon_H186 zenon_H18b zenon_H111 zenon_H173 zenon_H120 zenon_H13b. % 196.48/196.67 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H177 | zenon_intro zenon_H1b6 ]. % 196.48/196.67 apply (zenon_L150_); trivial. % 196.48/196.67 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H198 | zenon_intro zenon_H1b7 ]. % 196.48/196.67 apply (zenon_L166_); trivial. % 196.48/196.67 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H14d | zenon_intro zenon_H1b1 ]. % 196.48/196.67 apply (zenon_L635_); trivial. % 196.48/196.67 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H106 | zenon_intro zenon_H193 ]. % 196.48/196.67 apply (zenon_L134_); trivial. % 196.48/196.67 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H17f | zenon_intro zenon_H194 ]. % 196.48/196.67 apply (zenon_L640_); trivial. % 196.48/196.67 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H187 | zenon_intro zenon_H152 ]. % 196.48/196.67 apply (zenon_L149_); trivial. % 196.48/196.67 apply (zenon_L124_); trivial. % 196.48/196.67 (* end of lemma zenon_L641_ *) % 196.48/196.67 assert (zenon_L642_ : (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e13) (e11))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (unit1) (e12)) = (e12)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (e21) (unit2)) = (e21)) -> (~((h8 (op1 (e13) (e13))) = (op2 (h8 (e13)) (h8 (e13))))) -> ((h8 (e10)) = (op2 (e22) (e22))) -> ((e20) = (op2 (e21) (e21))) -> ((h8 (e13)) = (e21)) -> ((op1 (e11) (unit1)) = (e11)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (unit1) (e10)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (e23) (e20)) = (e23)) -> ((op2 (e23) (unit2)) = (e23)) -> ((op2 (unit2) (e22)) = (e22)) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> False). % 196.48/196.67 do 0 intro. intros zenon_H49 zenon_H13b zenon_H120 zenon_H173 zenon_H111 zenon_H18b zenon_H186 zenon_H185 zenon_H13a zenon_H18e zenon_H11a zenon_H127 zenon_H172 zenon_H10f zenon_H15b zenon_H105 zenon_H121 zenon_H131 zenon_H133 zenon_H9e zenon_H67 zenon_H29 zenon_Hcf zenon_H330 zenon_Hf0 zenon_H2c zenon_H27d zenon_H197 zenon_H17e zenon_H132 zenon_H143 zenon_H14c zenon_H14b zenon_H104 zenon_H192 zenon_H1a7 zenon_H196 zenon_H19c zenon_H1a3 zenon_H178 zenon_H1b5 zenon_H56 zenon_H5d zenon_H55 zenon_H54 zenon_H37 zenon_H40 zenon_H41. % 196.48/196.67 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H1e | zenon_intro zenon_H4a ]. % 196.48/196.67 apply (zenon_L641_); trivial. % 196.48/196.67 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2b | zenon_intro zenon_H4b ]. % 196.48/196.67 apply (zenon_L14_); trivial. % 196.48/196.67 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H3f ]. % 196.48/196.67 apply (zenon_L16_); trivial. % 196.48/196.67 apply (zenon_L9_); trivial. % 196.48/196.67 (* end of lemma zenon_L642_ *) % 196.48/196.67 assert (zenon_L643_ : (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e10)) = (e10)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (e11) (unit1)) = (e11)) -> ((h8 (e13)) = (e21)) -> ((h8 (e10)) = (op2 (e22) (e22))) -> (~((h8 (op1 (e13) (e13))) = (op2 (h8 (e13)) (h8 (e13))))) -> ((op2 (e21) (unit2)) = (e21)) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (unit1) (e12)) = (e12)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((op2 (e22) (e22)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (unit2) (e23)) = (e23)) -> ((op2 (unit2) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e21)) = (e21)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((op2 (unit2) (e22)) = (e22)) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> False). % 196.48/196.67 do 0 intro. intros zenon_H9f zenon_H1b5 zenon_H178 zenon_H1a3 zenon_H19c zenon_H196 zenon_H1a7 zenon_H192 zenon_H104 zenon_H14b zenon_H14c zenon_H143 zenon_H132 zenon_H17e zenon_H197 zenon_H27d zenon_Hf0 zenon_H330 zenon_Hcf zenon_H133 zenon_H131 zenon_H121 zenon_H105 zenon_H15b zenon_H10f zenon_H172 zenon_H127 zenon_H11a zenon_H18e zenon_H13a zenon_H185 zenon_H186 zenon_H18b zenon_H111 zenon_H173 zenon_H120 zenon_H13b zenon_H78 zenon_H29 zenon_H2c zenon_H56 zenon_H20 zenon_H2a zenon_H39 zenon_H77 zenon_H76 zenon_H5d zenon_H49 zenon_H9e zenon_H67 zenon_H54 zenon_H86 zenon_H37 zenon_H40 zenon_H41. % 196.48/196.67 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H55 | zenon_intro zenon_Ha0 ]. % 196.48/196.67 apply (zenon_L642_); trivial. % 196.48/196.67 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_H61 | zenon_intro zenon_Ha1 ]. % 196.48/196.67 apply (zenon_L353_); trivial. % 196.48/196.67 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H6c | zenon_intro zenon_H87 ]. % 196.48/196.67 apply (zenon_L37_); trivial. % 196.48/196.67 apply (zenon_L40_); trivial. % 196.48/196.67 (* end of lemma zenon_L643_ *) % 196.48/196.67 assert (zenon_L644_ : (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> ((op2 (e20) (e21)) = (e23)) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> ((op2 (e23) (e22)) = (e21)) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> ((op2 (unit2) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e21)) = (e21)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((op2 (e22) (unit2)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (unit2) (e23)) = (e23)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((op2 (unit2) (e22)) = (e22)) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> False). % 196.48/196.67 do 0 intro. intros zenon_Hba zenon_H21 zenon_H22 zenon_Ha3 zenon_H29 zenon_H2c zenon_Hdb zenon_Ha9 zenon_H2a zenon_H39 zenon_H77 zenon_H76 zenon_H4d zenon_Hb6 zenon_H9f zenon_H56 zenon_Hb3 zenon_Ha4 zenon_Haf zenon_H20 zenon_Hb5 zenon_H5d zenon_H49 zenon_H9e zenon_H67 zenon_H54 zenon_H86 zenon_H37 zenon_H40 zenon_H41. % 196.48/196.67 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H38 | zenon_intro zenon_Hbb ]. % 196.48/196.67 apply (zenon_L10_); trivial. % 196.48/196.67 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_Ha5 | zenon_intro zenon_Hbc ]. % 196.48/196.67 apply (zenon_L56_); trivial. % 196.48/196.67 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H85 | zenon_intro zenon_Hb0 ]. % 196.48/196.67 apply (zenon_L227_); trivial. % 196.48/196.67 apply (zenon_L55_); trivial. % 196.48/196.67 (* end of lemma zenon_L644_ *) % 196.48/196.67 assert (zenon_L645_ : (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e13) (e11))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (unit1) (e12)) = (e12)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> ((op2 (e21) (unit2)) = (e21)) -> (~((h8 (op1 (e13) (e13))) = (op2 (h8 (e13)) (h8 (e13))))) -> ((h8 (e10)) = (op2 (e22) (e22))) -> ((h8 (e13)) = (e21)) -> ((op1 (e11) (unit1)) = (e11)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (unit1) (e10)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> ((op2 (e20) (e21)) = (e23)) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> ((op2 (unit2) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e21)) = (e21)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((op2 (e22) (unit2)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (unit2) (e23)) = (e23)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((op2 (unit2) (e22)) = (e22)) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> False). % 196.48/196.67 do 0 intro. intros zenon_Hdf zenon_Hc1 zenon_Hd4 zenon_Hce zenon_H13b zenon_H120 zenon_H173 zenon_H111 zenon_H18b zenon_H186 zenon_H185 zenon_H13a zenon_H18e zenon_H11a zenon_H127 zenon_H172 zenon_H10f zenon_H15b zenon_H105 zenon_H121 zenon_H131 zenon_H133 zenon_Hcf zenon_H330 zenon_Hf0 zenon_H27d zenon_H197 zenon_H17e zenon_H132 zenon_H143 zenon_H14c zenon_H14b zenon_H104 zenon_H192 zenon_H1a7 zenon_H196 zenon_H19c zenon_H1a3 zenon_H178 zenon_H1b5 zenon_Hba zenon_H21 zenon_H22 zenon_Ha3 zenon_H29 zenon_H2c zenon_Ha9 zenon_H2a zenon_H39 zenon_H77 zenon_H76 zenon_H4d zenon_Hb6 zenon_H9f zenon_H56 zenon_Hb3 zenon_Ha4 zenon_Haf zenon_H20 zenon_Hb5 zenon_H5d zenon_H49 zenon_H9e zenon_H67 zenon_H54 zenon_H86 zenon_H37 zenon_H40 zenon_H41. % 196.48/196.67 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_Hc0 | zenon_intro zenon_He0 ]. % 196.48/196.67 apply (zenon_L218_); trivial. % 196.48/196.67 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hd0 | zenon_intro zenon_He1 ]. % 196.48/196.67 apply (zenon_L79_); trivial. % 196.48/196.67 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_H78 | zenon_intro zenon_Hdb ]. % 196.48/196.67 apply (zenon_L643_); trivial. % 196.48/196.67 apply (zenon_L644_); trivial. % 196.48/196.67 (* end of lemma zenon_L645_ *) % 196.48/196.67 assert (zenon_L646_ : (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e13) (e11))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (unit1) (e12)) = (e12)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> ((op2 (e21) (unit2)) = (e21)) -> (~((h8 (op1 (e13) (e13))) = (op2 (h8 (e13)) (h8 (e13))))) -> ((h8 (e10)) = (op2 (e22) (e22))) -> ((h8 (e13)) = (e21)) -> ((op1 (e11) (unit1)) = (e11)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (unit1) (e10)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> ((op2 (e22) (e21)) = (e21)) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> ((op2 (e22) (e21)) = (e23)) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> ((op2 (unit2) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e21)) = (e21)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((op2 (e22) (unit2)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (unit2) (e23)) = (e23)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((op2 (unit2) (e22)) = (e22)) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> False). % 196.48/196.67 do 0 intro. intros zenon_Hdf zenon_Hc1 zenon_Hd4 zenon_Hce zenon_H13b zenon_H120 zenon_H173 zenon_H111 zenon_H18b zenon_H186 zenon_H185 zenon_H13a zenon_H18e zenon_H11a zenon_H127 zenon_H172 zenon_H10f zenon_H15b zenon_H105 zenon_H121 zenon_H131 zenon_H133 zenon_Hcf zenon_H330 zenon_Hf0 zenon_H27d zenon_H197 zenon_H17e zenon_H132 zenon_H143 zenon_H14c zenon_H14b zenon_H104 zenon_H192 zenon_H1a7 zenon_H196 zenon_H19c zenon_H1a3 zenon_H178 zenon_H1b5 zenon_H1d9 zenon_H1cd zenon_H1ce zenon_H1d4 zenon_Hba zenon_H1d1 zenon_Hc7 zenon_H2c zenon_H29 zenon_Ha3 zenon_Ha9 zenon_H2a zenon_H39 zenon_H77 zenon_H76 zenon_H4d zenon_Hb6 zenon_H9f zenon_H56 zenon_Hb3 zenon_Ha4 zenon_Haf zenon_H20 zenon_Hb5 zenon_H5d zenon_H49 zenon_H9e zenon_H67 zenon_H54 zenon_H86 zenon_H37 zenon_H40 zenon_H41. % 196.48/196.67 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_Hc0 | zenon_intro zenon_He0 ]. % 196.48/196.67 apply (zenon_L71_); trivial. % 196.48/196.67 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hd0 | zenon_intro zenon_He1 ]. % 196.48/196.67 apply (zenon_L79_); trivial. % 196.48/196.67 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_H78 | zenon_intro zenon_Hdb ]. % 196.48/196.67 apply (zenon_L643_); trivial. % 196.48/196.67 apply (zenon_L250_); trivial. % 196.48/196.67 (* end of lemma zenon_L646_ *) % 196.48/196.67 assert (zenon_L647_ : (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e10)) = (e10)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (e11) (unit1)) = (e11)) -> ((h8 (e13)) = (e21)) -> ((h8 (e10)) = (op2 (e22) (e22))) -> (~((h8 (op1 (e13) (e13))) = (op2 (h8 (e13)) (h8 (e13))))) -> ((op2 (e21) (unit2)) = (e21)) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (unit1) (e12)) = (e12)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> ((op2 (e22) (e22)) = (e21)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (unit2) (e20)) = (e20)) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((op2 (unit2) (e23)) = (e23)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((op2 (unit2) (e21)) = (e21)) -> ((op2 (e22) (e23)) = (e21)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((op2 (unit2) (e22)) = (e22)) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> False). % 196.48/196.67 do 0 intro. intros zenon_H9f zenon_H1b5 zenon_H178 zenon_H1a3 zenon_H19c zenon_H196 zenon_H1a7 zenon_H192 zenon_H104 zenon_H14b zenon_H14c zenon_H143 zenon_H132 zenon_H17e zenon_H197 zenon_H27d zenon_Hf0 zenon_H330 zenon_Hcf zenon_H133 zenon_H131 zenon_H121 zenon_H105 zenon_H15b zenon_H10f zenon_H172 zenon_H127 zenon_H11a zenon_H18e zenon_H13a zenon_H185 zenon_H186 zenon_H18b zenon_H111 zenon_H173 zenon_H120 zenon_H13b zenon_H76 zenon_H78 zenon_H29 zenon_H2a zenon_H2c zenon_H56 zenon_H20 zenon_Hb3 zenon_H77 zenon_H1dc zenon_H5d zenon_H49 zenon_H9e zenon_H67 zenon_H54 zenon_H86 zenon_H37 zenon_H40 zenon_H41. % 196.48/196.67 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H55 | zenon_intro zenon_Ha0 ]. % 196.48/196.67 apply (zenon_L642_); trivial. % 196.48/196.67 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_H61 | zenon_intro zenon_Ha1 ]. % 196.48/196.67 apply (zenon_L353_); trivial. % 196.48/196.67 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H6c | zenon_intro zenon_H87 ]. % 196.48/196.67 apply (zenon_L213_); trivial. % 196.48/196.67 apply (zenon_L40_); trivial. % 196.48/196.67 (* end of lemma zenon_L647_ *) % 196.48/196.67 assert (zenon_L648_ : (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e13) (e11))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (unit1) (e12)) = (e12)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e21) (unit2)) = (e21)) -> (~((h8 (op1 (e13) (e13))) = (op2 (h8 (e13)) (h8 (e13))))) -> ((h8 (e10)) = (op2 (e22) (e22))) -> ((h8 (e13)) = (e21)) -> ((op1 (e11) (unit1)) = (e11)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (unit1) (e10)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> ((e20) = (op2 (e21) (e21))) -> ((op2 (unit2) (e20)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (e22) (e23)) = (e21)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (unit2) (e21)) = (e21)) -> ((op2 (e23) (e22)) = (e21)) -> False). % 196.48/196.67 do 0 intro. intros zenon_H49 zenon_H13b zenon_H120 zenon_H173 zenon_H111 zenon_H18b zenon_H186 zenon_H185 zenon_H13a zenon_H18e zenon_H11a zenon_H127 zenon_H172 zenon_H10f zenon_H15b zenon_H105 zenon_H121 zenon_H131 zenon_H133 zenon_H54 zenon_H9e zenon_H40 zenon_H67 zenon_Hcf zenon_H330 zenon_Hf0 zenon_H27d zenon_H197 zenon_H17e zenon_H132 zenon_H143 zenon_H14c zenon_H14b zenon_H104 zenon_H192 zenon_H1a7 zenon_H196 zenon_H19c zenon_H1a3 zenon_H178 zenon_H1b5 zenon_H2c zenon_H2a zenon_H29 zenon_H1dc zenon_Hb3 zenon_H41 zenon_H77 zenon_Hdb. % 196.48/196.67 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H1e | zenon_intro zenon_H4a ]. % 196.48/196.67 apply (zenon_L641_); trivial. % 196.48/196.67 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2b | zenon_intro zenon_H4b ]. % 196.48/196.67 apply (zenon_L5_); trivial. % 196.48/196.67 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H35 | zenon_intro zenon_H3f ]. % 196.48/196.67 apply (zenon_L212_); trivial. % 196.48/196.67 apply (zenon_L82_); trivial. % 196.48/196.67 (* end of lemma zenon_L648_ *) % 196.48/196.67 assert (zenon_L649_ : (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e22) (unit2)) = (e22)) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> ((op2 (unit2) (e22)) = (e22)) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> ((op2 (unit2) (e23)) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> ((e12) = (op1 (e13) (e11))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (unit1) (e12)) = (e12)) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> ((e10) = (op1 (e11) (e11))) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e21) (unit2)) = (e21)) -> (~((h8 (op1 (e13) (e13))) = (op2 (h8 (e13)) (h8 (e13))))) -> ((h8 (e10)) = (op2 (e22) (e22))) -> ((h8 (e13)) = (e21)) -> ((op1 (e11) (unit1)) = (e11)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (unit1) (e10)) = (e10)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> ((e20) = (op2 (e21) (e21))) -> ((op2 (unit2) (e20)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((op2 (e22) (e23)) = (e21)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (unit2) (e21)) = (e21)) -> False). % 196.48/196.67 do 0 intro. intros zenon_Hdf zenon_Hc1 zenon_Hb5 zenon_Haf zenon_Ha4 zenon_Hb6 zenon_H4d zenon_H39 zenon_Ha9 zenon_Ha3 zenon_Hd4 zenon_Hce zenon_Hba zenon_H37 zenon_H86 zenon_H5d zenon_H20 zenon_H56 zenon_H76 zenon_H9f zenon_H49 zenon_H13b zenon_H120 zenon_H173 zenon_H111 zenon_H18b zenon_H186 zenon_H185 zenon_H13a zenon_H18e zenon_H11a zenon_H127 zenon_H172 zenon_H10f zenon_H15b zenon_H105 zenon_H121 zenon_H131 zenon_H133 zenon_H54 zenon_H9e zenon_H40 zenon_H67 zenon_Hcf zenon_H330 zenon_Hf0 zenon_H27d zenon_H197 zenon_H17e zenon_H132 zenon_H143 zenon_H14c zenon_H14b zenon_H104 zenon_H192 zenon_H1a7 zenon_H196 zenon_H19c zenon_H1a3 zenon_H178 zenon_H1b5 zenon_H2c zenon_H2a zenon_H29 zenon_H1dc zenon_Hb3 zenon_H41 zenon_H77. % 196.48/196.67 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_Hc0 | zenon_intro zenon_He0 ]. % 196.48/196.67 apply (zenon_L218_); trivial. % 196.48/196.67 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hd0 | zenon_intro zenon_He1 ]. % 196.48/196.67 apply (zenon_L79_); trivial. % 196.48/196.67 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_H78 | zenon_intro zenon_Hdb ]. % 196.48/196.67 apply (zenon_L647_); trivial. % 196.48/196.67 apply (zenon_L648_); trivial. % 196.48/196.67 (* end of lemma zenon_L649_ *) % 196.48/196.67 assert (zenon_L650_ : (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((e20) = (e23))) -> ((op2 (unit2) (e21)) = (e21)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (((op1 (e10) (e12)) = (e11))\/(((op1 (e11) (e12)) = (e11))\/(((op1 (e12) (e12)) = (e11))\/((op1 (e13) (e12)) = (e11))))) -> (~((op1 (e10) (e11)) = (op1 (e10) (e12)))) -> (~((op1 (e12) (e10)) = (op1 (e12) (e11)))) -> (~((op1 (e11) (e11)) = (op1 (e11) (e12)))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e12)))) -> (((op1 (e12) (e10)) = (e12))\/(((op1 (e12) (e11)) = (e12))\/(((op1 (e12) (e12)) = (e12))\/((op1 (e12) (e13)) = (e12))))) -> (((op1 (e10) (e13)) = (e12))\/(((op1 (e11) (e13)) = (e12))\/(((op1 (e12) (e13)) = (e12))\/((op1 (e13) (e13)) = (e12))))) -> (~((op1 (e10) (e12)) = (op1 (e10) (e13)))) -> (~((op1 (e12) (e11)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e11)) = (e11)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e12)))) -> ((op1 (unit1) (e10)) = (e10)) -> (~((op1 (e11) (e12)) = (op1 (e11) (e13)))) -> ((op1 (e11) (unit1)) = (e11)) -> ((h8 (e13)) = (e21)) -> ((h8 (e10)) = (op2 (e22) (e22))) -> (~((h8 (op1 (e13) (e13))) = (op2 (h8 (e13)) (h8 (e13))))) -> ((op2 (e21) (unit2)) = (e21)) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> ((e10) = (op1 (e11) (e11))) -> (~((op1 (e11) (e10)) = (op1 (e11) (e11)))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e12)))) -> ((op1 (unit1) (e12)) = (e12)) -> (~((op1 (e13) (e12)) = (op1 (e13) (e13)))) -> ((op1 (e13) (unit1)) = (e13)) -> (~((op1 (e13) (e10)) = (op1 (e13) (e13)))) -> (((unit1) = (e10))\/(((unit1) = (e11))\/(((unit1) = (e12))\/((unit1) = (e13))))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e12)))) -> (~((op1 (e12) (e12)) = (op1 (e12) (e13)))) -> ((op1 (unit1) (e13)) = (e13)) -> (~((op1 (e12) (e10)) = (op1 (e12) (e13)))) -> ((op1 (e12) (unit1)) = (e12)) -> (~((op1 (e12) (e11)) = (op1 (e12) (e13)))) -> (~((op1 (e13) (e10)) = (op1 (e13) (e11)))) -> (((op1 (e13) (e10)) = (e13))\/(((op1 (e13) (e11)) = (e13))\/(((op1 (e13) (e12)) = (e13))\/((op1 (e13) (e13)) = (e13))))) -> ((e12) = (op1 (e13) (e11))) -> (~((op1 (e13) (e11)) = (op1 (e13) (e13)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((op2 (unit2) (e22)) = (e22)) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> ((op2 (e22) (unit2)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> ((op2 (unit2) (e20)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e23) (unit2)) = (e23)) -> ((op2 (unit2) (e23)) = (e23)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> False). % 196.48/196.67 do 0 intro. intros zenon_H1ca zenon_H22 zenon_Hbd zenon_H77 zenon_Hb3 zenon_H1b5 zenon_H178 zenon_H1a3 zenon_H19c zenon_H196 zenon_H1a7 zenon_H192 zenon_H104 zenon_H14b zenon_H14c zenon_H143 zenon_H132 zenon_H17e zenon_H197 zenon_H27d zenon_Hf0 zenon_H330 zenon_Hcf zenon_H40 zenon_H9e zenon_H133 zenon_H131 zenon_H121 zenon_H105 zenon_H15b zenon_H10f zenon_H172 zenon_H127 zenon_H11a zenon_H18e zenon_H13a zenon_H185 zenon_H186 zenon_H18b zenon_H111 zenon_H173 zenon_H120 zenon_H13b zenon_H9f zenon_H76 zenon_H5d zenon_H86 zenon_H37 zenon_Hba zenon_Hce zenon_Hd4 zenon_Ha3 zenon_Ha9 zenon_H39 zenon_H4d zenon_Hb6 zenon_Ha4 zenon_Haf zenon_Hb5 zenon_Hc1 zenon_Hdf zenon_H1d9 zenon_H1cd zenon_H1d4 zenon_H1d1 zenon_Hd8 zenon_H1de zenon_H49 zenon_H56 zenon_H2c zenon_H2a zenon_H29 zenon_H41 zenon_H54 zenon_H20 zenon_H67. % 196.48/196.67 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H21 | zenon_intro zenon_H1cb ]. % 196.48/196.67 apply (zenon_L645_); trivial. % 196.48/196.67 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H8d | zenon_intro zenon_H1cc ]. % 196.48/196.67 apply (zenon_L65_); trivial. % 196.48/196.67 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H61 ]. % 196.48/196.67 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_Hd9 | zenon_intro zenon_H1df ]. % 196.48/196.67 apply (zenon_L324_); trivial. % 196.48/196.67 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H1ce | zenon_intro zenon_H1e0 ]. % 196.48/196.67 apply (zenon_L646_); trivial. % 196.48/196.67 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H78 | zenon_intro zenon_H1dc ]. % 196.48/196.67 apply (zenon_L643_); trivial. % 196.48/196.67 apply (zenon_L649_); trivial. % 196.48/196.67 apply (zenon_L23_); trivial. % 196.48/196.67 (* end of lemma zenon_L650_ *) % 196.48/196.67 assert (zenon_L651_ : (~(((h8 (e10)) = (e20))\/(((h8 (e11)) = (e20))\/(((h8 (e12)) = (e20))\/((h8 (e13)) = (e20)))))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (~((e20) = (e23))) -> ((e22) = (op2 (e23) (e21))) -> ((op2 (unit2) (e22)) = (e22)) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (e22) (unit2)) = (e22)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e21)) = (e21)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> ((op2 (e21) (unit2)) = (e21)) -> ((h8 (e10)) = (op2 (e22) (e22))) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> ((op2 (unit2) (e20)) = (e20)) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> ((op2 (e23) (unit2)) = (e23)) -> ((op2 (unit2) (e23)) = (e23)) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> False). % 196.48/196.67 do 0 intro. intros zenon_H337 zenon_H1ca zenon_H22 zenon_Hbd zenon_H40 zenon_H37 zenon_H86 zenon_H9e zenon_H5d zenon_Hb5 zenon_Haf zenon_Ha4 zenon_Hb3 zenon_H9f zenon_Hb6 zenon_H4d zenon_H76 zenon_H77 zenon_H39 zenon_Ha9 zenon_Ha3 zenon_Hcf zenon_Hf0 zenon_Hba zenon_Hce zenon_Hd4 zenon_Hc1 zenon_Hdf zenon_H1d9 zenon_H1cd zenon_H1d4 zenon_H1d1 zenon_Hd8 zenon_H1de zenon_H49 zenon_H56 zenon_H2c zenon_H2a zenon_H29 zenon_H41 zenon_H54 zenon_H20 zenon_H67. % 196.48/196.67 apply (zenon_notor_s _ _ zenon_H337). zenon_intro zenon_Hef. zenon_intro zenon_H338. % 196.48/196.67 apply (zenon_L521_); trivial. % 196.48/196.67 (* end of lemma zenon_L651_ *) % 196.48/196.67 assert (zenon_L652_ : (~(((h8 (e10)) = (e21))\/(((h8 (e11)) = (e21))\/(((h8 (e12)) = (e21))\/((h8 (e13)) = (e21)))))) -> ((h8 (e13)) = (e21)) -> False). % 196.48/196.67 do 0 intro. intros zenon_H339 zenon_H27d. % 196.48/196.67 apply (zenon_notor_s _ _ zenon_H339). zenon_intro zenon_H33b. zenon_intro zenon_H33a. % 196.48/196.67 apply (zenon_notor_s _ _ zenon_H33a). zenon_intro zenon_H33d. zenon_intro zenon_H33c. % 196.48/196.67 apply (zenon_notor_s _ _ zenon_H33c). zenon_intro zenon_H33e. zenon_intro zenon_H289. % 196.48/196.67 exact (zenon_H289 zenon_H27d). % 196.48/196.67 (* end of lemma zenon_L652_ *) % 196.48/196.67 assert (zenon_L653_ : (~(((h8 (e10)) = (e22))\/(((h8 (e11)) = (e22))\/(((h8 (e12)) = (e22))\/((h8 (e13)) = (e22)))))) -> ((h8 (e11)) = (e22)) -> False). % 196.48/196.67 do 0 intro. intros zenon_H33f zenon_H1fd. % 196.48/196.67 apply (zenon_notor_s _ _ zenon_H33f). zenon_intro zenon_H341. zenon_intro zenon_H340. % 196.48/196.67 apply (zenon_notor_s _ _ zenon_H340). zenon_intro zenon_H209. zenon_intro zenon_H342. % 196.48/196.67 exact (zenon_H209 zenon_H1fd). % 196.48/196.67 (* end of lemma zenon_L653_ *) % 196.48/196.67 assert (zenon_L654_ : (~(((h8 (e10)) = (e23))\/(((h8 (e11)) = (e23))\/(((h8 (e12)) = (e23))\/((h8 (e13)) = (e23)))))) -> (((op2 (e21) (e20)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e21) (e22)) = (e23))\/((op2 (e21) (e23)) = (e23))))) -> (((op2 (e22) (e20)) = (e21))\/(((op2 (e22) (e21)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e22) (e23)) = (e21))))) -> (~((op2 (e21) (e20)) = (op2 (e22) (e20)))) -> (((op2 (e20) (e23)) = (e23))\/(((op2 (e21) (e23)) = (e23))\/(((op2 (e22) (e23)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e20) (e21)) = (op2 (e22) (e21)))) -> (~((op2 (e20) (e23)) = (op2 (e22) (e23)))) -> (~((op2 (e21) (e20)) = (op2 (e23) (e20)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e23)))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e21)) = (e23))\/(((op2 (e21) (e21)) = (e23))\/(((op2 (e22) (e21)) = (e23))\/((op2 (e23) (e21)) = (e23))))) -> (~((e20) = (e23))) -> ((h8 (e12)) = (op2 (e21) (e22))) -> (((op2 (e20) (e22)) = (e21))\/(((op2 (e21) (e22)) = (e21))\/(((op2 (e22) (e22)) = (e21))\/((op2 (e23) (e22)) = (e21))))) -> (~((op2 (e20) (e21)) = (op2 (e20) (e22)))) -> (~((op2 (e21) (e21)) = (op2 (e21) (e22)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e22)))) -> ((op2 (e21) (unit2)) = (e21)) -> (((op2 (e22) (e20)) = (e22))\/(((op2 (e22) (e21)) = (e22))\/(((op2 (e22) (e22)) = (e22))\/((op2 (e22) (e23)) = (e22))))) -> (~((op2 (e20) (e23)) = (op2 (e21) (e23)))) -> (~((op2 (e22) (e20)) = (op2 (e22) (e21)))) -> (~((op2 (e21) (e20)) = (op2 (e21) (e21)))) -> ((e20) = (op2 (e21) (e21))) -> (~((op2 (e21) (e22)) = (op2 (e21) (e23)))) -> ((op2 (unit2) (e20)) = (e20)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e22)))) -> ((op2 (unit2) (e21)) = (e21)) -> (~((op2 (e22) (e21)) = (op2 (e22) (e22)))) -> (~((op2 (e20) (e22)) = (op2 (e20) (e23)))) -> (((op2 (e20) (e23)) = (e22))\/(((op2 (e21) (e23)) = (e22))\/(((op2 (e22) (e23)) = (e22))\/((op2 (e23) (e23)) = (e22))))) -> (((op2 (e23) (e20)) = (e23))\/(((op2 (e23) (e21)) = (e23))\/(((op2 (e23) (e22)) = (e23))\/((op2 (e23) (e23)) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e21)))) -> (~((op2 (e22) (e21)) = (op2 (e22) (e23)))) -> ((op2 (e22) (unit2)) = (e22)) -> (~((op2 (e22) (e20)) = (op2 (e22) (e23)))) -> ((op2 (unit2) (e23)) = (e23)) -> (~((op2 (e22) (e22)) = (op2 (e22) (e23)))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e22)))) -> (((unit2) = (e20))\/(((unit2) = (e21))\/(((unit2) = (e22))\/((unit2) = (e23))))) -> (~((op2 (e23) (e20)) = (op2 (e23) (e23)))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e23)))) -> ((op2 (e23) (unit2)) = (e23)) -> (~((op2 (e23) (e22)) = (op2 (e23) (e23)))) -> ((op2 (unit2) (e22)) = (e22)) -> ((e22) = (op2 (e23) (e21))) -> (~((op2 (e23) (e21)) = (op2 (e23) (e22)))) -> False). % 196.48/196.67 do 0 intro. intros zenon_H343 zenon_H248 zenon_H1de zenon_Hd8 zenon_H1d9 zenon_H1cd zenon_H1d1 zenon_H234 zenon_H22d zenon_H22 zenon_H1ca zenon_Hbd zenon_H244 zenon_Hdf zenon_Hc1 zenon_Hd4 zenon_Hce zenon_Hcf zenon_Hba zenon_H1d4 zenon_Ha3 zenon_H29 zenon_H2c zenon_Ha9 zenon_H2a zenon_H39 zenon_H77 zenon_H76 zenon_H4d zenon_Hb6 zenon_H9f zenon_H56 zenon_Hb3 zenon_Ha4 zenon_Haf zenon_H20 zenon_Hb5 zenon_H5d zenon_H49 zenon_H9e zenon_H67 zenon_H54 zenon_H86 zenon_H37 zenon_H40 zenon_H41. % 196.48/196.67 apply (zenon_notor_s _ _ zenon_H343). zenon_intro zenon_H345. zenon_intro zenon_H344. % 196.48/196.67 apply (zenon_notor_s _ _ zenon_H344). zenon_intro zenon_H347. zenon_intro zenon_H346. % 196.48/196.67 apply (zenon_notor_s _ _ zenon_H346). zenon_intro zenon_H243. zenon_intro zenon_H348. % 196.48/196.67 apply (zenon_L358_); trivial. % 196.48/196.67 (* end of lemma zenon_L654_ *) % 196.48/196.67 apply NNPP. intro zenon_G. % 196.48/196.67 apply (zenon_and_s _ _ ax1). zenon_intro zenon_H34a. zenon_intro zenon_H349. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H349). zenon_intro zenon_H215. zenon_intro zenon_H34b. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H34b). zenon_intro zenon_H34d. zenon_intro zenon_H34c. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H34c). zenon_intro zenon_H34f. zenon_intro zenon_H34e. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H34e). zenon_intro zenon_H351. zenon_intro zenon_H350. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H350). zenon_intro zenon_H353. zenon_intro zenon_H352. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H352). zenon_intro zenon_H355. zenon_intro zenon_H354. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H354). zenon_intro zenon_H357. zenon_intro zenon_H356. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H356). zenon_intro zenon_H359. zenon_intro zenon_H358. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H358). zenon_intro zenon_H35b. zenon_intro zenon_H35a. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H35a). zenon_intro zenon_H35d. zenon_intro zenon_H35c. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H35c). zenon_intro zenon_H290. zenon_intro zenon_H35e. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H35e). zenon_intro zenon_H360. zenon_intro zenon_H35f. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H35f). zenon_intro zenon_H362. zenon_intro zenon_H361. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H361). zenon_intro zenon_H28d. zenon_intro zenon_H363. % 196.48/196.67 apply (zenon_and_s _ _ ax2). zenon_intro zenon_H132. zenon_intro zenon_H364. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H364). zenon_intro zenon_H1bb. zenon_intro zenon_H365. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H365). zenon_intro zenon_H14c. zenon_intro zenon_H366. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H366). zenon_intro zenon_H197. zenon_intro zenon_H367. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H367). zenon_intro zenon_H105. zenon_intro zenon_H368. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H368). zenon_intro zenon_H186. zenon_intro zenon_H369. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H369). zenon_intro zenon_H13a. zenon_intro zenon_H36a. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H36a). zenon_intro zenon_H10f. zenon_intro zenon_H127. % 196.48/196.67 apply (zenon_and_s _ _ ax3). zenon_intro zenon_H1c1. zenon_intro zenon_H36b. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H36b). zenon_intro zenon_H36d. zenon_intro zenon_H36c. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H36c). zenon_intro zenon_H36f. zenon_intro zenon_H36e. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H36e). zenon_intro zenon_H371. zenon_intro zenon_H370. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H370). zenon_intro zenon_H373. zenon_intro zenon_H372. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H372). zenon_intro zenon_H375. zenon_intro zenon_H374. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H374). zenon_intro zenon_H377. zenon_intro zenon_H376. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H376). zenon_intro zenon_H379. zenon_intro zenon_H378. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H378). zenon_intro zenon_H37b. zenon_intro zenon_H37a. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H37a). zenon_intro zenon_H37d. zenon_intro zenon_H37c. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H37c). zenon_intro zenon_H2ab. zenon_intro zenon_H37e. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H37e). zenon_intro zenon_H380. zenon_intro zenon_H37f. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H37f). zenon_intro zenon_H382. zenon_intro zenon_H381. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H381). zenon_intro zenon_H384. zenon_intro zenon_H383. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H383). zenon_intro zenon_H26a. zenon_intro zenon_H385. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H385). zenon_intro zenon_H223. zenon_intro zenon_H386. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H386). zenon_intro zenon_H388. zenon_intro zenon_H387. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H387). zenon_intro zenon_H38a. zenon_intro zenon_H389. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H389). zenon_intro zenon_H224. zenon_intro zenon_H38b. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H38b). zenon_intro zenon_H1b5. zenon_intro zenon_H38c. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H38c). zenon_intro zenon_H1a7. zenon_intro zenon_H38d. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H38d). zenon_intro zenon_H270. zenon_intro zenon_H38e. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H38e). zenon_intro zenon_H264. zenon_intro zenon_H38f. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H38f). zenon_intro zenon_H391. zenon_intro zenon_H390. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H390). zenon_intro zenon_H393. zenon_intro zenon_H392. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H392). zenon_intro zenon_H395. zenon_intro zenon_H394. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H394). zenon_intro zenon_H397. zenon_intro zenon_H396. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H396). zenon_intro zenon_H399. zenon_intro zenon_H398. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H398). zenon_intro zenon_H39b. zenon_intro zenon_H39a. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H39a). zenon_intro zenon_H192. zenon_intro zenon_H39c. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H39c). zenon_intro zenon_H173. zenon_intro zenon_H28a. % 196.48/196.67 apply (zenon_and_s _ _ ax4). zenon_intro zenon_H39e. zenon_intro zenon_H39d. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H39d). zenon_intro zenon_H293. zenon_intro zenon_H39f. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H39f). zenon_intro zenon_H3a1. zenon_intro zenon_H3a0. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H3a0). zenon_intro zenon_H3a3. zenon_intro zenon_H3a2. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H3a2). zenon_intro zenon_H3a5. zenon_intro zenon_H3a4. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H3a4). zenon_intro zenon_H3a7. zenon_intro zenon_H3a6. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H3a6). zenon_intro zenon_H3a9. zenon_intro zenon_H3a8. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H3a8). zenon_intro zenon_H3ab. zenon_intro zenon_H3aa. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H3aa). zenon_intro zenon_H3ad. zenon_intro zenon_H3ac. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H3ac). zenon_intro zenon_H3af. zenon_intro zenon_H3ae. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H3ae). zenon_intro zenon_H3b1. zenon_intro zenon_H3b0. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H3b0). zenon_intro zenon_H2c5. zenon_intro zenon_H3b2. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H3b2). zenon_intro zenon_H3b4. zenon_intro zenon_H3b3. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H3b3). zenon_intro zenon_H3b6. zenon_intro zenon_H3b5. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H3b5). zenon_intro zenon_H1c7. zenon_intro zenon_H3b7. % 196.48/196.67 apply (zenon_and_s _ _ ax5). zenon_intro zenon_H2a. zenon_intro zenon_H3b8. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H3b8). zenon_intro zenon_H1e9. zenon_intro zenon_H3b9. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H3b9). zenon_intro zenon_H77. zenon_intro zenon_H3ba. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H3ba). zenon_intro zenon_Hcf. zenon_intro zenon_H3bb. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H3bb). zenon_intro zenon_H37. zenon_intro zenon_H3bc. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H3bc). zenon_intro zenon_Ha4. zenon_intro zenon_H3bd. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H3bd). zenon_intro zenon_H20. zenon_intro zenon_H3be. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H3be). zenon_intro zenon_H54. zenon_intro zenon_H49. % 196.48/196.67 apply (zenon_and_s _ _ ax6). zenon_intro zenon_H3c0. zenon_intro zenon_H3bf. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H3bf). zenon_intro zenon_H3c2. zenon_intro zenon_H3c1. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H3c1). zenon_intro zenon_H3c4. zenon_intro zenon_H3c3. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H3c3). zenon_intro zenon_H3c6. zenon_intro zenon_H3c5. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H3c5). zenon_intro zenon_H229. zenon_intro zenon_H3c7. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H3c7). zenon_intro zenon_H3c9. zenon_intro zenon_H3c8. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H3c8). zenon_intro zenon_H3cb. zenon_intro zenon_H3ca. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H3ca). zenon_intro zenon_H3cd. zenon_intro zenon_H3cc. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H3cc). zenon_intro zenon_H3cf. zenon_intro zenon_H3ce. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H3ce). zenon_intro zenon_H3d1. zenon_intro zenon_H3d0. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H3d0). zenon_intro zenon_H318. zenon_intro zenon_H3d2. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H3d2). zenon_intro zenon_H299. zenon_intro zenon_H3d3. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H3d3). zenon_intro zenon_H3d5. zenon_intro zenon_H3d4. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H3d4). zenon_intro zenon_H3d7. zenon_intro zenon_H3d6. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H3d6). zenon_intro zenon_H248. zenon_intro zenon_H3d8. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H3d8). zenon_intro zenon_H1ca. zenon_intro zenon_H3d9. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H3d9). zenon_intro zenon_H3db. zenon_intro zenon_H3da. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H3da). zenon_intro zenon_H3dd. zenon_intro zenon_H3dc. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H3dc). zenon_intro zenon_H1de. zenon_intro zenon_H3de. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H3de). zenon_intro zenon_Hdf. zenon_intro zenon_H3df. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H3df). zenon_intro zenon_Hba. zenon_intro zenon_H3e0. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H3e0). zenon_intro zenon_H3e2. zenon_intro zenon_H3e1. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H3e1). zenon_intro zenon_H3e4. zenon_intro zenon_H3e3. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H3e3). zenon_intro zenon_H3e6. zenon_intro zenon_H3e5. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H3e5). zenon_intro zenon_H3e8. zenon_intro zenon_H3e7. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H3e7). zenon_intro zenon_H3ea. zenon_intro zenon_H3e9. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H3e9). zenon_intro zenon_H3ec. zenon_intro zenon_H3eb. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H3eb). zenon_intro zenon_H3ee. zenon_intro zenon_H3ed. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H3ed). zenon_intro zenon_H3f0. zenon_intro zenon_H3ef. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H3ef). zenon_intro zenon_Hb6. zenon_intro zenon_H3f1. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H3f1). zenon_intro zenon_H9f. zenon_intro zenon_H1d9. % 196.48/196.67 apply (zenon_and_s _ _ ax7). zenon_intro zenon_H3f3. zenon_intro zenon_H3f2. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H3f2). zenon_intro zenon_H3f5. zenon_intro zenon_H3f4. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H3f4). zenon_intro zenon_H3f7. zenon_intro zenon_H3f6. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H3f6). zenon_intro zenon_H1f4. zenon_intro zenon_H3f8. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H3f8). zenon_intro zenon_H23e. zenon_intro zenon_H3f9. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H3f9). zenon_intro zenon_H259. zenon_intro zenon_H3fa. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H3fa). zenon_intro zenon_H3fc. zenon_intro zenon_H3fb. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H3fb). zenon_intro zenon_H1f7. zenon_intro zenon_H3fd. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H3fd). zenon_intro zenon_H3ff. zenon_intro zenon_H3fe. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H3fe). zenon_intro zenon_H401. zenon_intro zenon_H400. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H400). zenon_intro zenon_H403. zenon_intro zenon_H402. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H402). zenon_intro zenon_H405. zenon_intro zenon_H404. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H404). zenon_intro zenon_H25b. zenon_intro zenon_H406. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H406). zenon_intro zenon_H408. zenon_intro zenon_H407. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H407). zenon_intro zenon_H26d. zenon_intro zenon_H409. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H409). zenon_intro zenon_H25e. zenon_intro zenon_H40a. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H40a). zenon_intro zenon_H40c. zenon_intro zenon_H40b. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H40b). zenon_intro zenon_H277. zenon_intro zenon_H40d. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H40d). zenon_intro zenon_H267. zenon_intro zenon_H40e. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H40e). zenon_intro zenon_H261. zenon_intro zenon_H40f. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H40f). zenon_intro zenon_H411. zenon_intro zenon_H410. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H410). zenon_intro zenon_H413. zenon_intro zenon_H412. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H412). zenon_intro zenon_H415. zenon_intro zenon_H414. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H414). zenon_intro zenon_H273. zenon_intro zenon_H416. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H416). zenon_intro zenon_H1ab. zenon_intro zenon_H417. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H417). zenon_intro zenon_H1b8. zenon_intro zenon_H418. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H418). zenon_intro zenon_H1c0. zenon_intro zenon_H419. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H419). zenon_intro zenon_H178. zenon_intro zenon_H41a. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H41a). zenon_intro zenon_H20f. zenon_intro zenon_H41b. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H41b). zenon_intro zenon_H104. zenon_intro zenon_H41c. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H41c). zenon_intro zenon_H131. zenon_intro zenon_H41d. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H41d). zenon_intro zenon_H196. zenon_intro zenon_H41e. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H41e). zenon_intro zenon_H237. zenon_intro zenon_H41f. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H41f). zenon_intro zenon_H19c. zenon_intro zenon_H420. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H420). zenon_intro zenon_H422. zenon_intro zenon_H421. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H421). zenon_intro zenon_H17e. zenon_intro zenon_H423. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H423). zenon_intro zenon_H1a3. zenon_intro zenon_H424. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H424). zenon_intro zenon_H143. zenon_intro zenon_H425. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H425). zenon_intro zenon_H185. zenon_intro zenon_H426. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H426). zenon_intro zenon_H14b. zenon_intro zenon_H427. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H427). zenon_intro zenon_H18b. zenon_intro zenon_H428. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H428). zenon_intro zenon_H18e. zenon_intro zenon_H429. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H429). zenon_intro zenon_H111. zenon_intro zenon_H42a. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H42a). zenon_intro zenon_H11a. zenon_intro zenon_H42b. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H42b). zenon_intro zenon_H172. zenon_intro zenon_H42c. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H42c). zenon_intro zenon_H121. zenon_intro zenon_H42d. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H42d). zenon_intro zenon_H13b. zenon_intro zenon_H15b. % 196.48/196.67 apply (zenon_and_s _ _ ax8). zenon_intro zenon_H42f. zenon_intro zenon_H42e. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H42e). zenon_intro zenon_H431. zenon_intro zenon_H430. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H430). zenon_intro zenon_H433. zenon_intro zenon_H432. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H432). zenon_intro zenon_Hd8. zenon_intro zenon_H434. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H434). zenon_intro zenon_H234. zenon_intro zenon_H435. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H435). zenon_intro zenon_H437. zenon_intro zenon_H436. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H436). zenon_intro zenon_H439. zenon_intro zenon_H438. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H438). zenon_intro zenon_H1cd. zenon_intro zenon_H43a. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H43a). zenon_intro zenon_H43c. zenon_intro zenon_H43b. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H43b). zenon_intro zenon_H43e. zenon_intro zenon_H43d. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H43d). zenon_intro zenon_H440. zenon_intro zenon_H43f. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H43f). zenon_intro zenon_H296. zenon_intro zenon_H441. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H441). zenon_intro zenon_H443. zenon_intro zenon_H442. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H442). zenon_intro zenon_H445. zenon_intro zenon_H444. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H444). zenon_intro zenon_H1c4. zenon_intro zenon_H446. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H446). zenon_intro zenon_H448. zenon_intro zenon_H447. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H447). zenon_intro zenon_H44a. zenon_intro zenon_H449. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H449). zenon_intro zenon_Hea. zenon_intro zenon_H44b. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H44b). zenon_intro zenon_H1d4. zenon_intro zenon_H44c. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H44c). zenon_intro zenon_H1d1. zenon_intro zenon_H44d. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H44d). zenon_intro zenon_H44f. zenon_intro zenon_H44e. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H44e). zenon_intro zenon_H451. zenon_intro zenon_H450. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H450). zenon_intro zenon_H453. zenon_intro zenon_H452. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H452). zenon_intro zenon_H2b7. zenon_intro zenon_H454. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H454). zenon_intro zenon_H1e2. zenon_intro zenon_H455. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H455). zenon_intro zenon_H1e6. zenon_intro zenon_H456. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H456). zenon_intro zenon_H1ee. zenon_intro zenon_H457. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H457). zenon_intro zenon_Hc1. zenon_intro zenon_H458. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H458). zenon_intro zenon_H22. zenon_intro zenon_H459. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H459). zenon_intro zenon_H4d. zenon_intro zenon_H45a. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H45a). zenon_intro zenon_H29. zenon_intro zenon_H45b. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H45b). zenon_intro zenon_Hce. zenon_intro zenon_H45c. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H45c). zenon_intro zenon_H22d. zenon_intro zenon_H45d. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H45d). zenon_intro zenon_Hd4. zenon_intro zenon_H45e. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H45e). zenon_intro zenon_H315. zenon_intro zenon_H45f. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H45f). zenon_intro zenon_Ha9. zenon_intro zenon_H460. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H460). zenon_intro zenon_Ha3. zenon_intro zenon_H461. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H461). zenon_intro zenon_H39. zenon_intro zenon_H462. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H462). zenon_intro zenon_Haf. zenon_intro zenon_H463. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H463). zenon_intro zenon_H76. zenon_intro zenon_H464. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H464). zenon_intro zenon_Hb3. zenon_intro zenon_H465. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H465). zenon_intro zenon_Hb5. zenon_intro zenon_H466. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H466). zenon_intro zenon_H56. zenon_intro zenon_H467. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H467). zenon_intro zenon_H5d. zenon_intro zenon_H468. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H468). zenon_intro zenon_H9e. zenon_intro zenon_H469. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H469). zenon_intro zenon_H41. zenon_intro zenon_H46a. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H46a). zenon_intro zenon_H67. zenon_intro zenon_H86. % 196.48/196.67 apply (zenon_and_s _ _ ax9). zenon_intro zenon_H46c. zenon_intro zenon_H46b. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H46b). zenon_intro zenon_H46e. zenon_intro zenon_H46d. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H46d). zenon_intro zenon_H21a. zenon_intro zenon_H46f. % 196.48/196.67 apply (zenon_and_s _ _ ax10). zenon_intro zenon_H471. zenon_intro zenon_H470. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H470). zenon_intro zenon_H473. zenon_intro zenon_H472. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H472). zenon_intro zenon_Hbd. zenon_intro zenon_H474. % 196.48/196.67 apply (zenon_and_s _ _ ax14). zenon_intro zenon_H133. zenon_intro zenon_H120. % 196.48/196.67 apply (zenon_and_s _ _ ax15). zenon_intro zenon_H2c. zenon_intro zenon_H40. % 196.48/196.67 apply (zenon_and_s _ _ ax23). zenon_intro zenon_H1fd. zenon_intro zenon_H475. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H475). zenon_intro zenon_H27d. zenon_intro zenon_H476. % 196.48/196.67 apply (zenon_and_s _ _ zenon_H476). zenon_intro zenon_Hf0. zenon_intro zenon_H244. % 196.48/196.67 apply (zenon_notor_s _ _ zenon_G). zenon_intro zenon_H478. zenon_intro zenon_H477. % 196.48/196.67 apply (zenon_notor_s _ _ zenon_H477). zenon_intro zenon_H47a. zenon_intro zenon_H479. % 196.48/196.67 apply (zenon_notor_s _ _ zenon_H479). zenon_intro zenon_H47c. zenon_intro zenon_H47b. % 196.48/196.67 apply (zenon_notor_s _ _ zenon_H47b). zenon_intro zenon_H47e. zenon_intro zenon_H47d. % 196.48/196.67 apply (zenon_notor_s _ _ zenon_H47d). zenon_intro zenon_H480. zenon_intro zenon_H47f. % 196.48/196.67 apply (zenon_notor_s _ _ zenon_H47f). zenon_intro zenon_H482. zenon_intro zenon_H481. % 196.48/196.67 apply (zenon_notor_s _ _ zenon_H481). zenon_intro zenon_H484. zenon_intro zenon_H483. % 196.48/196.67 apply (zenon_notor_s _ _ zenon_H483). zenon_intro zenon_H486. zenon_intro zenon_H485. % 196.48/196.67 apply (zenon_notand_s _ _ zenon_H486); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H487 ]. % 196.48/196.67 apply (zenon_L246_); trivial. % 196.48/196.67 apply (zenon_notand_s _ _ zenon_H487); [ zenon_intro zenon_H1fa | zenon_intro zenon_H488 ]. % 196.48/196.67 apply (zenon_L309_); trivial. % 196.48/196.67 apply (zenon_notand_s _ _ zenon_H488); [ zenon_intro zenon_H24b | zenon_intro zenon_H489 ]. % 196.48/196.67 apply (zenon_or_s _ _ zenon_H248); [ zenon_intro zenon_H22c | zenon_intro zenon_H249 ]. % 196.48/196.67 apply (zenon_L322_); trivial. % 196.48/196.67 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_H8d | zenon_intro zenon_H24a ]. % 196.48/196.67 apply (zenon_L65_); trivial. % 196.48/196.67 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_H245 | zenon_intro zenon_H1d5 ]. % 196.48/196.67 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H21 | zenon_intro zenon_H1cb ]. % 196.48/196.67 apply (zenon_L64_); trivial. % 196.48/196.67 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H8d | zenon_intro zenon_H1cc ]. % 196.48/196.67 apply (zenon_L65_); trivial. % 196.48/196.67 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H61 ]. % 196.48/196.67 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_Hd9 | zenon_intro zenon_H1df ]. % 196.48/196.67 apply (zenon_L324_); trivial. % 196.48/196.67 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H1ce | zenon_intro zenon_H1e0 ]. % 196.48/196.67 apply (zenon_L412_); trivial. % 196.48/196.67 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H78 | zenon_intro zenon_H1dc ]. % 196.48/196.67 apply (zenon_L411_); trivial. % 196.48/196.67 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_Hc0 | zenon_intro zenon_He0 ]. % 196.48/196.67 apply (zenon_L71_); trivial. % 196.48/196.67 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hd0 | zenon_intro zenon_He1 ]. % 196.48/196.67 apply (zenon_L79_); trivial. % 196.48/196.67 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_H78 | zenon_intro zenon_Hdb ]. % 196.48/196.67 apply (zenon_L411_); trivial. % 196.48/196.67 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H38 | zenon_intro zenon_Hbb ]. % 196.48/196.67 apply (zenon_L414_); trivial. % 196.48/196.67 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_Ha5 | zenon_intro zenon_Hbc ]. % 196.48/196.67 apply (zenon_L253_); trivial. % 196.48/196.67 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H85 | zenon_intro zenon_Hb0 ]. % 196.48/196.67 apply (zenon_L227_); trivial. % 196.48/196.67 apply (zenon_L55_); trivial. % 196.48/196.67 apply (zenon_L23_); trivial. % 196.48/196.67 apply (zenon_L357_); trivial. % 196.48/196.67 apply (zenon_notand_s _ _ zenon_H489); [ zenon_intro zenon_H27a | zenon_intro zenon_H48a ]. % 196.48/196.67 apply (zenon_L458_); trivial. % 196.48/196.67 apply (zenon_notand_s _ _ zenon_H48a); [ zenon_intro zenon_H29c | zenon_intro zenon_H48b ]. % 196.48/196.67 apply (zenon_L497_); trivial. % 196.48/196.67 apply (zenon_notand_s _ _ zenon_H48b); [ zenon_intro zenon_H2ae | zenon_intro zenon_H48c ]. % 196.48/196.67 apply (zenon_L498_); trivial. % 196.48/196.67 apply (zenon_notand_s _ _ zenon_H48c); [ zenon_intro zenon_H2bb | zenon_intro zenon_H48d ]. % 196.48/196.67 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H38 | zenon_intro zenon_Hbb ]. % 196.48/196.67 apply (zenon_L510_); trivial. % 196.48/196.67 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_Ha5 | zenon_intro zenon_Hbc ]. % 196.48/196.67 apply (zenon_L56_); trivial. % 196.48/196.67 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H85 | zenon_intro zenon_Hb0 ]. % 196.48/196.67 apply (zenon_L63_); trivial. % 196.48/196.67 apply (zenon_L55_); trivial. % 196.48/196.67 apply (zenon_notand_s _ _ zenon_H48d); [ zenon_intro zenon_H2c8 | zenon_intro zenon_H48e ]. % 196.48/196.67 apply (zenon_or_s _ _ zenon_H248); [ zenon_intro zenon_H22c | zenon_intro zenon_H249 ]. % 196.48/196.67 apply (zenon_L322_); trivial. % 196.48/196.67 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_H8d | zenon_intro zenon_H24a ]. % 196.48/196.67 apply (zenon_L65_); trivial. % 196.48/196.67 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_H245 | zenon_intro zenon_H1d5 ]. % 196.48/196.67 apply (zenon_L513_); trivial. % 196.48/196.67 apply (zenon_L357_); trivial. % 196.48/196.67 apply (zenon_notand_s _ _ zenon_H48e); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H48f ]. % 196.48/196.67 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_H55 | zenon_intro zenon_Ha0 ]. % 196.48/196.67 apply (zenon_L525_); trivial. % 196.48/196.67 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_H61 | zenon_intro zenon_Ha1 ]. % 196.48/196.67 apply (zenon_L23_); trivial. % 196.48/196.67 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H6c | zenon_intro zenon_H87 ]. % 196.48/196.67 apply (zenon_L37_); trivial. % 196.48/196.67 apply (zenon_L40_); trivial. % 196.48/196.67 apply (zenon_notand_s _ _ zenon_H48f); [ zenon_intro zenon_H2e2 | zenon_intro zenon_H490 ]. % 196.48/196.67 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H38 | zenon_intro zenon_Hbb ]. % 196.48/196.67 apply (zenon_L541_); trivial. % 196.48/196.67 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_Ha5 | zenon_intro zenon_Hbc ]. % 196.48/196.67 apply (zenon_L56_); trivial. % 196.48/196.67 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H85 | zenon_intro zenon_Hb0 ]. % 196.48/196.67 apply (zenon_L63_); trivial. % 196.48/196.67 apply (zenon_L55_); trivial. % 196.48/196.67 apply (zenon_notand_s _ _ zenon_H490); [ zenon_intro zenon_H2ee | zenon_intro zenon_H491 ]. % 196.48/196.67 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H21 | zenon_intro zenon_H1cb ]. % 196.48/196.67 apply (zenon_L64_); trivial. % 196.48/196.67 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H8d | zenon_intro zenon_H1cc ]. % 196.48/196.68 apply (zenon_L65_); trivial. % 196.48/196.68 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H61 ]. % 196.48/196.68 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_Hd9 | zenon_intro zenon_H1df ]. % 196.48/196.68 apply (zenon_L324_); trivial. % 196.48/196.68 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H1ce | zenon_intro zenon_H1e0 ]. % 196.48/196.68 apply (zenon_L555_); trivial. % 196.48/196.68 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H78 | zenon_intro zenon_H1dc ]. % 196.48/196.68 apply (zenon_L554_); trivial. % 196.48/196.68 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_Hc0 | zenon_intro zenon_He0 ]. % 196.48/196.68 apply (zenon_L218_); trivial. % 196.48/196.68 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hd0 | zenon_intro zenon_He1 ]. % 196.48/196.68 apply (zenon_L79_); trivial. % 196.48/196.68 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_H78 | zenon_intro zenon_Hdb ]. % 196.48/196.68 apply (zenon_L560_); trivial. % 196.48/196.68 apply (zenon_L561_); trivial. % 196.48/196.68 apply (zenon_L23_); trivial. % 196.48/196.68 apply (zenon_notand_s _ _ zenon_H491); [ zenon_intro zenon_H2fe | zenon_intro zenon_H492 ]. % 196.48/196.68 apply (zenon_L568_); trivial. % 196.48/196.68 apply (zenon_notand_s _ _ zenon_H492); [ zenon_intro zenon_H30d | zenon_intro zenon_H493 ]. % 196.48/196.68 apply (zenon_L607_); trivial. % 196.48/196.68 apply (zenon_notand_s _ _ zenon_H493); [ zenon_intro zenon_H31b | zenon_intro zenon_H494 ]. % 196.48/196.68 apply (zenon_L608_); trivial. % 196.48/196.68 apply (zenon_notand_s _ _ zenon_H494); [ zenon_intro zenon_H329 | zenon_intro zenon_H495 ]. % 196.48/196.68 apply (zenon_L630_); trivial. % 196.48/196.68 apply (zenon_notand_s _ _ zenon_H495); [ zenon_intro zenon_H330 | zenon_intro zenon_H496 ]. % 196.48/196.68 apply (zenon_L650_); trivial. % 196.48/196.68 apply (zenon_notand_s _ _ zenon_H496); [ zenon_intro zenon_H337 | zenon_intro zenon_H497 ]. % 196.48/196.68 apply (zenon_L651_); trivial. % 196.48/196.68 apply (zenon_notand_s _ _ zenon_H497); [ zenon_intro zenon_H339 | zenon_intro zenon_H498 ]. % 196.48/196.68 apply (zenon_L652_); trivial. % 196.48/196.68 apply (zenon_notand_s _ _ zenon_H498); [ zenon_intro zenon_H33f | zenon_intro zenon_H343 ]. % 196.48/196.68 apply (zenon_L653_); trivial. % 196.48/196.68 apply (zenon_L654_); trivial. % 196.48/196.68 Qed. % 196.48/196.68 % SZS output end Proof % 196.48/196.68 (* END-PROOF *) % 196.48/196.68 nodes searched: 8768005 % 196.48/196.68 max branch formulas: 4761 % 196.48/196.68 proof nodes created: 102903 % 196.48/196.68 formulas created: 3412609 % 196.48/196.68 %------------------------------------------------------------------------------