\documentclass{article}
\newtheorem{axiom}{Axiom}
\newtheorem{theorem}{Theorem}
\newtheorem{lemma}{Lemma}
\newtheorem{proposition}{Proposition}
\newtheorem{definition}{Definition}
\newtheorem{example}{Example}
\newtheorem{conjecture}{Conjecture}
\newcommand\unicdcdgdad{\not=}
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\newcommand\unicdcdcdjd{\cap}
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\newcommand\unicdbdjdcd{\Rightarrow}
\newcommand\unicdcdadjd{\notin}
\newcommand\unicdbdjded{\Leftrightarrow}
\newcommand\unicdcdcdid{\lor}
\newcommand\unicdcdcdhd{\land}
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\newcommand\unicdcdidid{\not\subseteq}
\newcommand\preoh[1]{\lnot #1}
\newcommand\mname[1]{{\mathsf{#1}}}
\begin{document}
\title{t66\_fsm\_1 (TMK2r9tm4TJ1WUGNu4g5mnPgADk9Y7JyEKw)}
\maketitle
Let $ v1\_xboole\_0 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v2\_struct\_0 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v8\_struct\_0 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v5\_fsm\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}}$ be given.
Let $ v7\_fsm\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}}$ be given.
Let $ l2\_fsm\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}}$ be given.
Let $ r7\_fsm\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}}}$ be given.
Let $ r4\_fsm\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}}}$ be given.
Let $ k11\_fsm\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}}$ be given.
Let $ v2\_fsm\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}}$ be given.
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (\preoh v1\_xboole\_0~X0){\unicdbdjdcd}({\unicdcdadad} X1 .  (\preoh v1\_xboole\_0~X1){\unicdbdjdcd}\\
({\unicdcdadad} X2 .  ((\preoh v2\_struct\_0~X2){\unicdcdcdhd}((v8\_struct\_0~X2){\unicdcdcdhd}((v7\_fsm\_1~\\
X2~X0~X1){\unicdcdcdhd}(l2\_fsm\_1~X2~X0~X1)))){\unicdbdjdcd}({\unicdcdadad} X3 .  ((\preoh v2\_struct\_0~X3){\unicdcdcdhd}\\
((v8\_struct\_0~X3){\unicdcdcdhd}((v7\_fsm\_1~X3~X0~X1){\unicdcdcdhd}(l2\_fsm\_1~X3~X0~X1)))){\unicdbdjdcd}\\
((r4\_fsm\_1~X0~X1~X2~X3){\unicdbdjdcd}(r7\_fsm\_1~X0~X1~(k11\_fsm\_1~X0~X1~X2)~(k11\_fsm\_1~\\
X0~X1~X3))))))\end{array}
\label{hyp:ehgdfdpfggdhngpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (\preoh v1\_xboole\_0~X0){\unicdbdjdcd}({\unicdcdadad} X1 .  (\preoh v1\_xboole\_0~X1){\unicdbdjdcd}\\
({\unicdcdadad} X2 .  ((\preoh v2\_struct\_0~X2){\unicdcdcdhd}(l2\_fsm\_1~X2~X0~X1)){\unicdbdjdcd}({\unicdcdadad} X3 .  \\
((\preoh v2\_struct\_0~X3){\unicdcdcdhd}(l2\_fsm\_1~X3~X0~X1)){\unicdbdjdcd}((r7\_fsm\_1~X0~X1~X2~X3){\unicdbdjdcd}\\
(r4\_fsm\_1~X0~X1~X2~X3)))))\end{array}
\label{hyp:ehgdddpfggdhngpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (\preoh v1\_xboole\_0~X0){\unicdbdjdcd}({\unicdcdadad} X1 .  (\preoh v1\_xboole\_0~X1){\unicdbdjdcd}\\
({\unicdcdadad} X2 .  ((\preoh v2\_struct\_0~X2){\unicdcdcdhd}((v8\_struct\_0~X2){\unicdcdcdhd}((v5\_fsm\_1~\\
X2~X0~X1){\unicdcdcdhd}(l2\_fsm\_1~X2~X0~X1)))){\unicdbdjdcd}(r7\_fsm\_1~X0~X1~X2~(k11\_fsm\_1~X0~\\
X1~X2))))\end{array}
\label{hyp:ehedgdpfggdhngpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (\preoh v1\_xboole\_0~X0){\unicdbdjdcd}({\unicdcdadad} X1 .  (\preoh v1\_xboole\_0~X1){\unicdbdjdcd}\\
({\unicdcdadad} X2 .  ((\preoh v2\_struct\_0~X2){\unicdcdcdhd}(l2\_fsm\_1~X2~X0~X1)){\unicdbdjdcd}({\unicdcdadad} X3 .  \\
((\preoh v2\_struct\_0~X3){\unicdcdcdhd}(l2\_fsm\_1~X3~X0~X1)){\unicdbdjdcd}({\unicdcdadad} X4 .  ((\preoh v2\_struct\_0~\\
X4){\unicdcdcdhd}(l2\_fsm\_1~X4~X0~X1)){\unicdbdjdcd}(((r7\_fsm\_1~X0~X1~X2~X3){\unicdcdcdhd}(r7\_fsm\_1~X0~X1~\\
X3~X4)){\unicdbdjdcd}(r7\_fsm\_1~X0~X1~X2~X4))))))\end{array}
\label{hyp:ehedcdpfggdhngpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  {\unicdcdadad} X2 .  {\unicdcdadad} X3 .  ((\preoh v1\_xboole\_0~X0){\unicdcdcdhd}\\
((\preoh v1\_xboole\_0~X1){\unicdcdcdhd}(((\preoh v2\_struct\_0~X2){\unicdcdcdhd}(l2\_fsm\_1~X2~X0~X1)){\unicdcdcdhd}\\
((\preoh v2\_struct\_0~X3){\unicdcdcdhd}(l2\_fsm\_1~X3~X0~X1))))){\unicdbdjdcd}((r7\_fsm\_1~X0~X1~X2~\\
X3){\unicdbdjdcd}(r7\_fsm\_1~X0~X1~X3~X2))\end{array}
\label{hyp:dhjhngngfgehchjhpfchhdpfggdhngpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  {\unicdcdadad} X2 .  ((\preoh v1\_xboole\_0~X0){\unicdcdcdhd}((\preoh v1\_xboole\_0~\\
X1){\unicdcdcdhd}((\preoh v2\_struct\_0~X2){\unicdcdcdhd}((v8\_struct\_0~X2){\unicdcdcdhd}(l2\_fsm\_1~X2~X0~X1))))){\unicdbdjdcd}\\
((\preoh v2\_struct\_0~(k11\_fsm\_1~X0~X1~X2)){\unicdcdcdhd}((v8\_struct\_0~(k11\_fsm\_1~\\
X0~X1~X2)){\unicdcdcdhd}(v2\_fsm\_1~(k11\_fsm\_1~X0~X1~X2)~X0~X1)))\end{array}
\label{hyp:ggdgedpfggdhngpfbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  {\unicdcdadad} X2 .  ((\preoh v1\_xboole\_0~X0){\unicdcdcdhd}((\preoh v1\_xboole\_0~\\
X1){\unicdcdcdhd}((\preoh v2\_struct\_0~X2){\unicdcdcdhd}((v8\_struct\_0~X2){\unicdcdcdhd}(l2\_fsm\_1~X2~X0~X1))))){\unicdbdjdcd}\\
((v2\_fsm\_1~(k11\_fsm\_1~X0~X1~X2)~X0~X1){\unicdcdcdhd}(l2\_fsm\_1~(k11\_fsm\_1~X0~X1~\\
X2)~X0~X1))\end{array}
\label{hyp:egehpflgbdbdpfggdhngpfbd}
\end{equation}
\begin{theorem}\label{thm:ehgdgdpfggdhngpfbd}
$$\begin{array}{c}{\unicdcdadad} X0 .  (\preoh v1\_xboole\_0~X0){\unicdbdjdcd}({\unicdcdadad} X1 .  (\preoh v1\_xboole\_0~X1){\unicdbdjdcd}\\
({\unicdcdadad} X2 .  ((\preoh v2\_struct\_0~X2){\unicdcdcdhd}((v8\_struct\_0~X2){\unicdcdcdhd}((v5\_fsm\_1~\\
X2~X0~X1){\unicdcdcdhd}((v7\_fsm\_1~X2~X0~X1){\unicdcdcdhd}(l2\_fsm\_1~X2~X0~X1))))){\unicdbdjdcd}({\unicdcdadad} X3 .  \\
((\preoh v2\_struct\_0~X3){\unicdcdcdhd}((v8\_struct\_0~X3){\unicdcdcdhd}((v5\_fsm\_1~X3~X0~X1){\unicdcdcdhd}((\\
v7\_fsm\_1~X3~X0~X1){\unicdcdcdhd}(l2\_fsm\_1~X3~X0~X1))))){\unicdbdjdcd}((r7\_fsm\_1~X0~X1~X2~X3){\unicdbdjded}\\
(r4\_fsm\_1~X0~X1~X2~X3)))))\end{array}$$
\end{theorem}
\end{document}
