\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=}
\newcommand\unicdcdcdbg{\cup}
\newcommand\unicdcdbdgd{\setminus}
\newcommand\unicdcdcdjd{\cap}
\newcommand\unicdcdadad{\forall}
\newcommand\unicdbdjdcd{\Rightarrow}
\newcommand\unicdcdadjd{\notin}
\newcommand\unicdbdjded{\Leftrightarrow}
\newcommand\unicdcdcdid{\lor}
\newcommand\unicdcdcdhd{\land}
\newcommand\uniddcgcg{\lambda}
\newcommand\unicdcdaddd{\exists}
\newcommand\unicdcdidid{\not\subseteq}
\newcommand\preoh[1]{\lnot #1}
\newcommand\mname[1]{{\mathsf{#1}}}
\begin{document}
\title{t57\_fsm\_1 (TMZA4kC8PLfWKo8wsCbvq8baDHb3GfFAkXb)}
\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 $ l2\_fsm\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\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 $ m1\_subset\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ u1\_struct\_0 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ r1\_subset\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k13\_fsm\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}}}$ be given.
Let $ r5\_fsm\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}}}}$ be given.
Let $ m2\_finseq\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k4\_fsm\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}}}}$ 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 .  (m2\_finseq\_1~X2~X0){\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}({\unicdcdadad} X5 .  (m1\_subset\_1~X5~(u1\_struct\_0~X3)){\unicdbdjdcd}({\unicdcdadad} X6 .  \\
((\preoh v2\_struct\_0~X6){\unicdcdcdhd}((v8\_struct\_0~X6){\unicdcdcdhd}(l2\_fsm\_1~X6~X0~X1))){\unicdbdjdcd}(\\
{\unicdcdadad} X7 .  (m1\_subset\_1~X7~(u1\_struct\_0~X6)){\unicdbdjdcd}(((X6=k13\_fsm\_1~\\
X0~X1~X3~X4){\unicdcdcdhd}((r1\_subset\_1~(u1\_struct\_0~X3)~(u1\_struct\_0~X4)){\unicdcdcdhd}\\
(X5=X7))){\unicdbdjdcd}(k4\_fsm\_1~X0~X1~X3~X5~X2=k4\_fsm\_1~X0~X1~X6~X7~X2)))))))))\end{array}
\label{hyp:ehfdddpfggdhngpfbd}
\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 .  \\
(m1\_subset\_1~X3~(u1\_struct\_0~X2)){\unicdbdjdcd}({\unicdcdadad} X4 .  (m1\_subset\_1~X4~\\
(u1\_struct\_0~X2)){\unicdbdjdcd}((r5\_fsm\_1~X0~X1~X2~X3~X4){\unicdbdjded}({\unicdcdadad} X5 .  (m2\_finseq\_1~\\
X5~X0){\unicdbdjdcd}(k4\_fsm\_1~X0~X1~X2~X3~X5=k4\_fsm\_1~X0~X1~X2~X4~X5)))))))\end{array}
\label{hyp:egbdadpfggdhngpfbd}
\end{equation}
\begin{theorem}\label{thm:ehfdhdpfggdhngpfbd}
$$\begin{array}{c}{\unicdcdadad} X0 .  (\preoh v1\_xboole\_0~X0){\unicdbdjdcd}({\unicdcdadad} X1 .  (\preoh v1\_xboole\_0~X1){\unicdbdjdcd}\\
({\unicdcdadad} X2 .  ((\preoh v2\_struct\_0~X2){\unicdcdcdhd}((v8\_struct\_0~X2){\unicdcdcdhd}(l2\_fsm\_1~\\
X2~X0~X1))){\unicdbdjdcd}({\unicdcdadad} X3 .  ((\preoh v2\_struct\_0~X3){\unicdcdcdhd}((v5\_fsm\_1~X3~X0~X1){\unicdcdcdhd}\\
((v7\_fsm\_1~X3~X0~X1){\unicdcdcdhd}(l2\_fsm\_1~X3~X0~X1)))){\unicdbdjdcd}({\unicdcdadad} X4 .  ((\preoh v2\_struct\_0~\\
X4){\unicdcdcdhd}((v5\_fsm\_1~X4~X0~X1){\unicdcdcdhd}((v7\_fsm\_1~X4~X0~X1){\unicdcdcdhd}(l2\_fsm\_1~X4~X0~X1)))){\unicdbdjdcd}\\
({\unicdcdadad} X5 .  (m1\_subset\_1~X5~(u1\_struct\_0~X2)){\unicdbdjdcd}({\unicdcdadad} X6 .  (m1\_subset\_1~\\
X6~(u1\_struct\_0~X2)){\unicdbdjdcd}({\unicdcdadad} X7 .  (m1\_subset\_1~X7~(u1\_struct\_0~\\
X3)){\unicdbdjdcd}({\unicdcdadad} X8 .  (m1\_subset\_1~X8~(u1\_struct\_0~X3)){\unicdbdjdcd}(\preoh (X7=X5){\unicdcdcdhd}\\
((X8=X6){\unicdcdcdhd}((r1\_subset\_1~(u1\_struct\_0~X3)~(u1\_struct\_0~X4)){\unicdcdcdhd}(\\
(X2=k13\_fsm\_1~X0~X1~X3~X4){\unicdcdcdhd}((\preoh r5\_fsm\_1~X0~X1~X3~X7~X8){\unicdcdcdhd}(r5\_fsm\_1~\\
X0~X1~X2~X5~X6))))))))))))))\end{array}$$
\end{theorem}
\end{document}
