\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{t14\_fsm\_3 (TMNPKjYb12EV26i3pcBqFbtDvKsP69EGwHA)}
\maketitle
Let $ v1\_xboole\_0 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ m1\_subset\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k1\_zfmisc\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k8\_afinsq\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ v2\_struct\_0 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ l1\_fsm\_3 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}}$ be given.
Let $ u1\_struct\_0 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k2\_fsm\_3 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}}$ be given.
Let $ k2\_zfmisc\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ g1\_rewrite3 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}}$ be given.
Let $ u1\_rewrite3 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ v1\_rewrite3 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ l1\_rewrite3 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ v1\_fsm\_3 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}}$ be given.
Let $ k9\_flang\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k1\_fsm\_3 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}}$ be given.
Let $ u1\_fsm\_3 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}}$ be given.
Let $ k6\_domain\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k3\_rewrite3 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}}}}$ be given.
Let $ k2\_flang\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k1\_domain\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}}}$ be given.
Let $ k1\_afinsq\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ np\_\_1 : {\iota}$ be given.
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  {\unicdcdadad} X2 .  (m1\_subset\_1~X2~(k1\_zfmisc\_1~\\
(k2\_zfmisc\_1~(k2\_zfmisc\_1~X1~X0)~X1))){\unicdbdjdcd}({\unicdcdadad} X3 .  {\unicdcdadad} X4 .  \\
{\unicdcdadad} X5 .  (g1\_rewrite3~X0~X1~X2=g1\_rewrite3~X3~X4~X5){\unicdbdjdcd}((X0=X3){\unicdcdcdhd}\\
((X1=X4){\unicdcdcdhd}(X2=X5))))\end{array}
\label{hyp:ggchfgfgpfhgbdpfchfghhchjgehfgdd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  {\unicdcdadad} X2 .  ((\preoh v1\_xboole\_0~X0){\unicdcdcdhd}((m1\_subset\_1~\\
X1~(k1\_zfmisc\_1~(k8\_afinsq\_1~X0))){\unicdcdcdhd}((\preoh v2\_struct\_0~X2){\unicdcdcdhd}(l1\_fsm\_3~\\
X2~X0~X1)))){\unicdbdjdcd}((\preoh v2\_struct\_0~(g1\_rewrite3~X1~(u1\_struct\_0~X2)~(\\
u1\_rewrite3~X1~X2))){\unicdcdcdhd}(v1\_rewrite3~(g1\_rewrite3~X1~(u1\_struct\_0~\\
X2)~(u1\_rewrite3~X1~X2))~X1))\end{array}
\label{hyp:ggdgedpfggdhngpfdd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  (l1\_rewrite3~X1~X0){\unicdbdjdcd}(m1\_subset\_1~(u1\_rewrite3~\\
X0~X1)~(k1\_zfmisc\_1~(k2\_zfmisc\_1~(k2\_zfmisc\_1~(u1\_struct\_0~X1)~\\
X0)~(u1\_struct\_0~X1))))\end{array}
\label{hyp:egehpffhbdpfchfghhchjgehfgdd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  ((\preoh v1\_xboole\_0~X0){\unicdcdcdhd}(m1\_subset\_1~X1~(k1\_zfmisc\_1~\\
(k8\_afinsq\_1~X0)))){\unicdbdjdcd}({\unicdcdadad} X2 .  (l1\_fsm\_3~X2~X0~X1){\unicdbdjdcd}(l1\_rewrite3~\\
X2~X1))\end{array}
\label{hyp:egehpfmgbdpfggdhngpfdd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  {\unicdcdadad} X2 .  ((\preoh v1\_xboole\_0~X0){\unicdcdcdhd}((m1\_subset\_1~\\
X1~(k1\_zfmisc\_1~(k8\_afinsq\_1~X0))){\unicdcdcdhd}((\preoh v2\_struct\_0~X2){\unicdcdcdhd}(l1\_fsm\_3~\\
X2~X0~X1)))){\unicdbdjdcd}((v1\_fsm\_3~(k2\_fsm\_3~X0~X1~X2)~X0~(k9\_flang\_1~X0)){\unicdcdcdhd}\\
(l1\_fsm\_3~(k2\_fsm\_3~X0~X1~X2)~X0~(k9\_flang\_1~X0)))\end{array}
\label{hyp:egehpflgcdpfggdhngpfdd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  {\unicdcdadad} X2 .  ((\preoh v1\_xboole\_0~X0){\unicdcdcdhd}((m1\_subset\_1~\\
X1~(k1\_zfmisc\_1~(k8\_afinsq\_1~X0))){\unicdcdcdhd}((\preoh v2\_struct\_0~X2){\unicdcdcdhd}(l1\_rewrite3~\\
X2~X1)))){\unicdbdjdcd}((v1\_rewrite3~(k1\_fsm\_3~X0~X1~X2)~(k9\_flang\_1~X0)){\unicdcdcdhd}(\\
l1\_rewrite3~(k1\_fsm\_3~X0~X1~X2)~(k9\_flang\_1~X0)))\end{array}
\label{hyp:egehpflgbdpfggdhngpfdd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  {\unicdcdadad} X2 .  (m1\_subset\_1~X2~(k1\_zfmisc\_1~\\
(k2\_zfmisc\_1~(k2\_zfmisc\_1~X1~X0)~X1))){\unicdbdjdcd}((v1\_rewrite3~(g1\_rewrite3~\\
X0~X1~X2)~X0){\unicdcdcdhd}(l1\_rewrite3~(g1\_rewrite3~X0~X1~X2)~X0))\end{array}
\label{hyp:egehpfhgbdpfchfghhchjgehfgdd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (\preoh v1\_xboole\_0~X0){\unicdbdjdcd}({\unicdcdadad} X1 .  (m1\_subset\_1~X1~(k1\_zfmisc\_1~\\
(k8\_afinsq\_1~X0))){\unicdbdjdcd}({\unicdcdadad} X2 .  ((\preoh v2\_struct\_0~X2){\unicdcdcdhd}(l1\_fsm\_3~\\
X2~X0~X1)){\unicdbdjdcd}({\unicdcdadad} X3 .  ((v1\_fsm\_3~X3~X0~(k9\_flang\_1~X0)){\unicdcdcdhd}(l1\_fsm\_3~\\
X3~X0~(k9\_flang\_1~X0))){\unicdbdjdcd}((X3=k2\_fsm\_3~X0~X1~X2){\unicdbdjded}((g1\_rewrite3~\\
(k9\_flang\_1~X0)~(u1\_struct\_0~X3)~(u1\_rewrite3~(k9\_flang\_1~X0)~\\
X3)=k1\_fsm\_3~X0~X1~(g1\_rewrite3~X1~(u1\_struct\_0~X2)~(u1\_rewrite3~\\
X1~X2))){\unicdcdcdhd}(u1\_fsm\_3~X0~(k9\_flang\_1~X0)~X3=k6\_domain\_1~(k1\_zfmisc\_1~\\
(u1\_struct\_0~X2))~(k3\_rewrite3~X0~X1~X2~(k2\_flang\_1~X0)~(u1\_fsm\_3~\\
X0~X1~X2))))))))\end{array}
\label{hyp:egddpfggdhngpfdd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (\preoh v1\_xboole\_0~X0){\unicdbdjdcd}({\unicdcdadad} X1 .  (m1\_subset\_1~X1~(k1\_zfmisc\_1~\\
(k8\_afinsq\_1~X0))){\unicdbdjdcd}({\unicdcdadad} X2 .  ((\preoh v2\_struct\_0~X2){\unicdcdcdhd}(l1\_rewrite3~\\
X2~X1)){\unicdbdjdcd}({\unicdcdadad} X3 .  ((v1\_rewrite3~X3~(k9\_flang\_1~X0)){\unicdcdcdhd}(l1\_rewrite3~\\
X3~(k9\_flang\_1~X0))){\unicdbdjdcd}((X3=k1\_fsm\_3~X0~X1~X2){\unicdbdjded}((u1\_struct\_0~X3=\\
k1\_zfmisc\_1~(u1\_struct\_0~X2)){\unicdcdcdhd}({\unicdcdadad} X4 .  (m1\_subset\_1~X4~(k1\_zfmisc\_1~\\
(u1\_struct\_0~X2))){\unicdbdjdcd}({\unicdcdadad} X5 .  (m1\_subset\_1~X5~(k8\_afinsq\_1~\\
X0)){\unicdbdjdcd}({\unicdcdadad} X6 .  (m1\_subset\_1~X6~(k1\_zfmisc\_1~(u1\_struct\_0~X2))){\unicdbdjdcd}\\
((k1\_domain\_1~(k2\_zfmisc\_1~(k1\_zfmisc\_1~(u1\_struct\_0~X2))~(k8\_afinsq\_1~\\
X0))~(k1\_zfmisc\_1~(u1\_struct\_0~X2))~(k1\_domain\_1~(k1\_zfmisc\_1~\\
(u1\_struct\_0~X2))~(k8\_afinsq\_1~X0)~X4~X5)~X6 \in u1\_rewrite3~(k9\_flang\_1~\\
X0)~X3){\unicdbdjded}((k1\_afinsq\_1~X5=np\_\_1){\unicdcdcdhd}(X6=k3\_rewrite3~X0~X1~X2~X5~X4)))))))))))\end{array}
\label{hyp:egbdpfggdhngpfdd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  (l1\_rewrite3~X1~X0){\unicdbdjdcd}((v1\_rewrite3~X1~X0){\unicdbdjdcd}\\
(X1=g1\_rewrite3~X0~(u1\_struct\_0~X1)~(u1\_rewrite3~X0~X1)))\end{array}
\label{hyp:bgcgdhehchbgdgehogfgdhdhpfghbdpfchfghhchjgehfgdd}
\end{equation}
\begin{theorem}\label{thm:ehbdedpfggdhngpfdd}
$$\begin{array}{c}{\unicdcdadad} X0 .  (\preoh v1\_xboole\_0~X0){\unicdbdjdcd}({\unicdcdadad} X1 .  (m1\_subset\_1~X1~(k1\_zfmisc\_1~\\
(k8\_afinsq\_1~X0))){\unicdbdjdcd}({\unicdcdadad} X2 .  ((\preoh v2\_struct\_0~X2){\unicdcdcdhd}(l1\_fsm\_3~\\
X2~X0~X1)){\unicdbdjdcd}(u1\_struct\_0~(k2\_fsm\_3~X0~X1~X2)=k1\_zfmisc\_1~(u1\_struct\_0~\\
X2))))\end{array}$$
\end{theorem}
\end{document}
