\documentclass{article}
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\newtheorem{proposition}{Proposition}
\newtheorem{definition}{Definition}
\newtheorem{example}{Example}
\newtheorem{conjecture}{Conjecture}
\newcommand\unicdcdgdad{\not=}
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\newcommand\preoh[1]{\lnot #1}
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\begin{document}
\title{t18\_goedelcp (TMLaZhwGtWEquAdiBKmeFFz4ouXfSUAH234)}
\maketitle
Let $ m1\_qc\_lang1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v4\_card\_3 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ k9\_qc\_lang1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k2\_zfmisc\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k5\_numbers : {\iota}$ be given.
Let $ k1\_qc\_lang1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ v1\_xboole\_0 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ k3\_finseq\_2 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k4\_ordinal1 : {\iota}$ be given.
Let $ k13\_finseq\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ v3\_ordinal1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v1\_qc\_lang1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ r1\_tarski : {{\iota}{\unicdbdjdcd}{{\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 $ m2\_subset\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}}$ be given.
Let $ k6\_qc\_lang1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k8\_qc\_lang1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ v3\_card\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ m2\_finseq\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k2\_qc\_lang1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k7\_finseq\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k12\_finseq\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k9\_finseq\_1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k4\_tarski : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k6\_numbers : {\iota}$ be given.
Let $ np\_\_1 : {\iota}$ be given.
Let $ np\_\_2 : {\iota}$ be given.
Let $ k3\_qc\_lang1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ np\_\_3 : {\iota}$ be given.
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (m1\_qc\_lang1~X0){\unicdbdjdcd}(X0=k2\_zfmisc\_1~k5\_numbers~(k1\_qc\_lang1~\\
X0))\end{array}
\label{hyp:ehfdpfbhdgpfmgbgoghgbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (\preoh v1\_xboole\_0~X0){\unicdbdjdcd}((v4\_card\_3~X0){\unicdbdjdcd}(v4\_card\_3~(k3\_finseq\_2~\\
X0)))\end{array}
\label{hyp:ehbdddpfdgbgchegpfed}
\end{equation}
Assume the following.
\begin{equation}
{{k5\_numbers}={k4\_ordinal1}}\label{hyp:chfgegfgggjgogjgehjgpgogpflgfdpfogfhngcgfgchdh}
\end{equation}
Assume the following.
\begin{equation}
{{\unicdcdadad} X0 .  {{{k3\_finseq\_2}~{X0}}={{k13\_finseq\_1}~{X0}}}}\label{hyp:chfgegfgggjgogjgehjgpgogpflgddpfggjgogdhfgbhpfcd}
\end{equation}
Assume the following.
\begin{equation}
{{({\preoh{{{v1\_xboole\_0}~{k4\_ordinal1}}}})}{\unicdcdcdhd}{({{v3\_ordinal1}~{k4\_ordinal1}})}}\label{hyp:ggdggdpfpgchegjgogbgmgbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  {\unicdcdadad} X1 .  ((\preoh v1\_xboole\_0~X0){\unicdcdcdhd}(\preoh v1\_xboole\_0~X1)){\unicdbdjdcd}\\
(\preoh v1\_xboole\_0~(k2\_zfmisc\_1~X0~X1))\end{array}
\label{hyp:ggdgbdadpfdhfhcgdhfgehpfbd}
\end{equation}
Assume the following.
\begin{equation}
{{\unicdcdadad} X0 .  {{({{m1\_qc\_lang1}~{X0}})}{\unicdbdjdcd}{({\preoh{{{v1\_xboole\_0}~{({{k9\_qc\_lang1}~{X0}})}}}})}}}\label{hyp:egehpflgjdpfbhdgpfmgbgoghgbd}
\end{equation}
Assume the following.
\begin{equation}
{{\unicdcdadad} X0 .  {{({{m1\_qc\_lang1}~{X0}})}{\unicdbdjdcd}{({\preoh{{{v1\_xboole\_0}~{({{k1\_qc\_lang1}~{X0}})}}}})}}}\label{hyp:egehpflgbdpfbhdgpfmgbgoghgbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (m1\_qc\_lang1~X0){\unicdbdjdcd}({\unicdcdadad} X1 .  (\preoh v1\_xboole\_0~X1){\unicdbdjdcd}(\\
(X1=k9\_qc\_lang1~X0){\unicdbdjded}((v1\_qc\_lang1~X1~X0){\unicdcdcdhd}({\unicdcdadad} X2 .  (\preoh v1\_xboole\_0~\\
X2){\unicdbdjdcd}((v1\_qc\_lang1~X2~X0){\unicdbdjdcd}(r1\_tarski~X1~X2))))))\end{array}
\label{hyp:egbdbdpfbhdgpfmgbgoghgbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (m1\_qc\_lang1~X0){\unicdbdjdcd}({\unicdcdadad} X1 .  (v1\_qc\_lang1~X1~X0){\unicdbdjded}\\
((m1\_subset\_1~X1~(k1\_zfmisc\_1~(k13\_finseq\_1~(k2\_zfmisc\_1~k5\_numbers~\\
(k1\_qc\_lang1~X0))))){\unicdcdcdhd}(({\unicdcdadad} X2 .  (m1\_subset\_1~X2~k5\_numbers){\unicdbdjdcd}\\
({\unicdcdadad} X3 .  (m2\_subset\_1~X3~(k6\_qc\_lang1~X0)~(k8\_qc\_lang1~X0~X2)){\unicdbdjdcd}\\
({\unicdcdadad} X4 .  ((v3\_card\_1~X4~X2){\unicdcdcdhd}(m2\_finseq\_1~X4~(k2\_qc\_lang1~X0))){\unicdbdjdcd}\\
(k7\_finseq\_1~(k12\_finseq\_1~(k8\_qc\_lang1~X0~X2)~X3)~X4 \in X1)))){\unicdcdcdhd}\\
((k9\_finseq\_1~(k4\_tarski~k6\_numbers~k6\_numbers) \in X1){\unicdcdcdhd}(({\unicdcdadad} X2 .  \\
(m2\_finseq\_1~X2~(k2\_zfmisc\_1~k5\_numbers~(k1\_qc\_lang1~X0))){\unicdbdjdcd}(\\
(X2 \in X1){\unicdbdjdcd}(k7\_finseq\_1~(k9\_finseq\_1~(k4\_tarski~np\_\_1~k6\_numbers))~\\
X2 \in X1))){\unicdcdcdhd}(({\unicdcdadad} X2 .  (m2\_finseq\_1~X2~(k2\_zfmisc\_1~k5\_numbers~\\
(k1\_qc\_lang1~X0))){\unicdbdjdcd}({\unicdcdadad} X3 .  (m2\_finseq\_1~X3~(k2\_zfmisc\_1~\\
k5\_numbers~(k1\_qc\_lang1~X0))){\unicdbdjdcd}(((X2 \in X1){\unicdcdcdhd}(X3 \in X1)){\unicdbdjdcd}(k7\_finseq\_1~\\
(k7\_finseq\_1~(k9\_finseq\_1~(k4\_tarski~np\_\_2~k6\_numbers))~X2)~X3 \in \\
X1)))){\unicdcdcdhd}({\unicdcdadad} X2 .  (m2\_subset\_1~X2~(k2\_qc\_lang1~X0)~(k3\_qc\_lang1~\\
X0)){\unicdbdjdcd}({\unicdcdadad} X3 .  (m2\_finseq\_1~X3~(k2\_zfmisc\_1~k5\_numbers~(k1\_qc\_lang1~\\
X0))){\unicdbdjdcd}((X3 \in X1){\unicdbdjdcd}(k7\_finseq\_1~(k7\_finseq\_1~(k9\_finseq\_1~(k4\_tarski~\\
np\_\_3~k6\_numbers))~(k12\_finseq\_1~(k3\_qc\_lang1~X0)~X2))~X3 \in X1))))))))))\end{array}
\label{hyp:egbdadpfbhdgpfmgbgoghgbd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  (v4\_card\_3~X0){\unicdbdjdcd}({\unicdcdadad} X1 .  (m1\_subset\_1~X1~(k1\_zfmisc\_1~\\
X0)){\unicdbdjdcd}(v4\_card\_3~X1))\end{array}
\label{hyp:dgdghdpfdgbgchegpfdd}
\end{equation}
\begin{theorem}\label{thm:ehbdidpfhgpgfgegfgmgdgah}
$$\begin{array}{c}{\unicdcdadad} X0 .  (m1\_qc\_lang1~X0){\unicdbdjdcd}((v4\_card\_3~X0){\unicdbdjdcd}(v4\_card\_3~(k9\_qc\_lang1~\\
X0)))\end{array}$$
\end{theorem}
\end{document}
