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\newtheorem{conjecture}{Conjecture}
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\begin{document}
\title{t19\_fomodel2 (TMPxAeM5TRPVDBfUa5dA4Ks9xRquSWxL4Eb)}
\maketitle
Let $ v6\_struct\_0 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v11\_fomodel1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ l1\_fomodel1 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v1\_xboole\_0 : {{\iota}{\unicdbdjdcd}{o}}$ be given.
Let $ v4\_fomodel1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ m1\_subset\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ k1\_fomodel1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ v4\_fomodel2 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}$ be given.
Let $ m2\_subset\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{o}}}}$ be given.
Let $ k3\_finseq\_2 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k15\_fomodel1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k6\_subset\_1 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k1\_tarski : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k1\_xboole\_0 : {\iota}$ be given.
Let $ k9\_funct\_2 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k37\_fomodel1 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k3\_rfunct\_3 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k2\_xboole\_0 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k6\_margrel1 : {\iota}$ be given.
Let $ k16\_fomodel2 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k26\_fomodel2 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}}}$ be given.
Let $ k30\_fomodel2 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}}$ be given.
Let $ k31\_fomodel2 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}$ be given.
Let $ k8\_margrel1 : {\iota}$ be given.
Let $ k37\_fomodel2 : {{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{{\iota}{\unicdbdjdcd}{\iota}}}}}}$ be given.
Let $ np\_\_1 : {\iota}$ be given.
Let $ k1\_fomodel2 : {{\iota}{\unicdbdjdcd}{\iota}}$ be given.
Let $ k7\_margrel1 : {\iota}$ be given.
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((\preoh v6\_struct\_0~X0){\unicdcdcdhd}((v11\_fomodel1~X0){\unicdcdcdhd}(l1\_fomodel1~\\
X0))){\unicdbdjdcd}({\unicdcdadad} X1 .  (\preoh v1\_xboole\_0~X1){\unicdbdjdcd}({\unicdcdadad} X2 .  ((v4\_fomodel2~\\
X2~X0){\unicdcdcdhd}(m2\_subset\_1~X2~(k3\_finseq\_2~(k15\_fomodel1~X0))~(k6\_subset\_1~\\
(k3\_finseq\_2~(k15\_fomodel1~X0))~(k1\_tarski~k1\_xboole\_0)))){\unicdbdjdcd}\\
({\unicdcdadad} X3 .  ((v4\_fomodel2~X3~X0){\unicdcdcdhd}(m2\_subset\_1~X3~(k3\_finseq\_2~\\
(k15\_fomodel1~X0))~(k6\_subset\_1~(k3\_finseq\_2~(k15\_fomodel1~X0))~\\
(k1\_tarski~k1\_xboole\_0)))){\unicdbdjdcd}({\unicdcdadad} X4 .  (m2\_subset\_1~X4~(k9\_funct\_2~\\
(k37\_fomodel1~X0)~(k3\_rfunct\_3~(k3\_finseq\_2~X1)~(k2\_xboole\_0~\\
X1~k6\_margrel1)))~(k16\_fomodel2~X0~X1)){\unicdbdjdcd}((k26\_fomodel2~X0~X1~X4~\\
(k30\_fomodel2~X0~(k30\_fomodel2~X0~(k31\_fomodel2~X0~(k1\_fomodel2~\\
X0))~X2)~X3)=k8\_margrel1){\unicdbdjded}((k26\_fomodel2~X0~X1~X4~X2=k7\_margrel1){\unicdcdcdhd}\\
(k26\_fomodel2~X0~X1~X4~X3=k7\_margrel1)))))))\end{array}
\label{hyp:mgidfdpfggpgngpgegfgmgcd}
\end{equation}
Assume the following.
\begin{equation}
\begin{array}{c}{\unicdcdadad} X0 .  ((\preoh v6\_struct\_0~X0){\unicdcdcdhd}((v11\_fomodel1~X0){\unicdcdcdhd}(l1\_fomodel1~\\
X0))){\unicdbdjdcd}({\unicdcdadad} X1 .  (\preoh v1\_xboole\_0~X1){\unicdbdjdcd}({\unicdcdadad} X2 .  ((v4\_fomodel1~\\
X2~X0){\unicdcdcdhd}(m1\_subset\_1~X2~(k1\_fomodel1~X0))){\unicdbdjdcd}({\unicdcdadad} X3 .  ((v4\_fomodel2~\\
X3~X0){\unicdcdcdhd}(m2\_subset\_1~X3~(k3\_finseq\_2~(k15\_fomodel1~X0))~(k6\_subset\_1~\\
(k3\_finseq\_2~(k15\_fomodel1~X0))~(k1\_tarski~k1\_xboole\_0)))){\unicdbdjdcd}\\
({\unicdcdadad} X4 .  (m2\_subset\_1~X4~(k9\_funct\_2~(k37\_fomodel1~X0)~(k3\_rfunct\_3~\\
(k3\_finseq\_2~X1)~(k2\_xboole\_0~X1~k6\_margrel1)))~(k16\_fomodel2~\\
X0~X1)){\unicdbdjdcd}((k26\_fomodel2~X0~X1~X4~(k30\_fomodel2~X0~(k31\_fomodel2~\\
X0~X2)~X3)=k8\_margrel1){\unicdbdjded}({\unicdcdaddd} X5 .  (m1\_subset\_1~X5~X1){\unicdcdcdhd}(k26\_fomodel2~\\
X0~X1~(k37\_fomodel2~X0~X1~X4~X2~X5)~X3=np\_\_1)))))))\end{array}
\label{hyp:mgidddpfggpgngpgegfgmgcd}
\end{equation}
\begin{theorem}\label{thm:ehbdjdpfggpgngpgegfgmgcd}
$$\begin{array}{c}{\unicdcdadad} X0 .  ((\preoh v6\_struct\_0~X0){\unicdcdcdhd}((v11\_fomodel1~X0){\unicdcdcdhd}(l1\_fomodel1~\\
X0))){\unicdbdjdcd}({\unicdcdadad} X1 .  (\preoh v1\_xboole\_0~X1){\unicdbdjdcd}({\unicdcdadad} X2 .  ((v4\_fomodel1~\\
X2~X0){\unicdcdcdhd}(m1\_subset\_1~X2~(k1\_fomodel1~X0))){\unicdbdjdcd}({\unicdcdadad} X3 .  ((v4\_fomodel2~\\
X3~X0){\unicdcdcdhd}(m2\_subset\_1~X3~(k3\_finseq\_2~(k15\_fomodel1~X0))~(k6\_subset\_1~\\
(k3\_finseq\_2~(k15\_fomodel1~X0))~(k1\_tarski~k1\_xboole\_0)))){\unicdbdjdcd}\\
({\unicdcdadad} X4 .  ((v4\_fomodel2~X4~X0){\unicdcdcdhd}(m2\_subset\_1~X4~(k3\_finseq\_2~\\
(k15\_fomodel1~X0))~(k6\_subset\_1~(k3\_finseq\_2~(k15\_fomodel1~X0))~\\
(k1\_tarski~k1\_xboole\_0)))){\unicdbdjdcd}({\unicdcdadad} X5 .  ((v4\_fomodel2~X5~X0){\unicdcdcdhd}\\
(m2\_subset\_1~X5~(k3\_finseq\_2~(k15\_fomodel1~X0))~(k6\_subset\_1~\\
(k3\_finseq\_2~(k15\_fomodel1~X0))~(k1\_tarski~k1\_xboole\_0)))){\unicdbdjdcd}\\
({\unicdcdadad} X6 .  (m2\_subset\_1~X6~(k9\_funct\_2~(k37\_fomodel1~X0)~(k3\_rfunct\_3~\\
(k3\_finseq\_2~X1)~(k2\_xboole\_0~X1~k6\_margrel1)))~(k16\_fomodel2~\\
X0~X1)){\unicdbdjdcd}((\preoh (k26\_fomodel2~X0~X1~X6~(k30\_fomodel2~X0~(k31\_fomodel2~\\
X0~X2)~X3)=k8\_margrel1){\unicdcdcdhd}({\unicdcdadad} X7 .  (m1\_subset\_1~X7~X1){\unicdbdjdcd}(k26\_fomodel2~\\
X0~X1~(k37\_fomodel2~X0~X1~X6~X2~X7)~X3{\unicdcdgdad}np\_\_1))){\unicdcdcdhd}((({\unicdcdaddd} X7 .  (m1\_subset\_1~\\
X7~X1){\unicdcdcdhd}(k26\_fomodel2~X0~X1~(k37\_fomodel2~X0~X1~X6~X2~X7)~X3=np\_\_1)){\unicdbdjdcd}\\
(k26\_fomodel2~X0~X1~X6~(k30\_fomodel2~X0~(k31\_fomodel2~X0~X2)~X3)=\\
k8\_margrel1)){\unicdcdcdhd}(((k26\_fomodel2~X0~X1~X6~(k30\_fomodel2~X0~(k30\_fomodel2~\\
X0~(k31\_fomodel2~X0~(k1\_fomodel2~X0))~X4)~X5)=k8\_margrel1){\unicdbdjdcd}((\\
k26\_fomodel2~X0~X1~X6~X4=k7\_margrel1){\unicdcdcdhd}(k26\_fomodel2~X0~X1~X6~X5=\\
k7\_margrel1))){\unicdcdcdhd}(((k26\_fomodel2~X0~X1~X6~X4=k7\_margrel1){\unicdcdcdhd}(k26\_fomodel2~\\
X0~X1~X6~X5=k7\_margrel1)){\unicdbdjdcd}(k26\_fomodel2~X0~X1~X6~(k30\_fomodel2~\\
X0~(k30\_fomodel2~X0~(k31\_fomodel2~X0~(k1\_fomodel2~X0))~X4)~X5)=\\
k8\_margrel1)))))))))))\end{array}$$
\end{theorem}
\end{document}
